Finite Group Databasebeta

← #7631612

Subgroups — #7631612

Order 512.

5384 conjugacy classes of subgroups.

The subgroup lattice has 1757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36526C212yesmaximal, complemented
2#36507C212yesmaximal, complemented
3#36464C212yesmaximal, complemented
4#36462C212yesmaximal, complemented
5#36252C212yesmaximal, complemented
6#36251C212yesmaximal, complemented
7#36174C212yesmaximal, complemented
8#36173C212yesmaximal, complemented
9#36055C212yesmaximal, complemented
10#36044C212yesmaximal, complemented
11#36044C212yesmaximal, complemented
12#35947C212yesmaximal, complemented
13#35900C212yesmaximal, complemented
14#35897C212yesmaximal, complemented
15#35890C212yesmaximal, complemented
16#35849C212yesmaximal, complemented
17#35541C211yesmaximal, characteristic, complemented
18#35540C211yesmaximal, characteristic, complemented
19#35515C211yesmaximal, characteristic, complemented
20#35514C211yesmaximal, characteristic
21#35457C214yesmaximal, complemented
22#35378C214yesmaximal, complemented
23#35267C211yesmaximal, characteristic, complemented
24#35265C211yesmaximal, characteristic, complemented
25#34998C214yesmaximal, complemented
26#34814C211yesmaximal, characteristic, complemented
27#34813C211yesmaximal, characteristic, complemented
28#34754C214yesmaximal, complemented
29#34265C211yesmaximal, characteristic, complemented
30#34252C211yesmaximal, characteristic, complemented
31#34213C211yesmaximal, characteristic, complemented
32#34201C211yesmaximal, characteristic, complemented
33#34179C211yesmaximal, characteristic, complemented
34C2×#2363C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36C2×#535C2211yescharacteristic
37C2×#533C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×#121C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C22×C4×D4C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2864C2212yescomplemented
46#2863C2212yescomplemented
47#2860C2212yescomplemented
48#2859C2212yescomplemented
49#2854C2214yescomplemented
50#2853C2214yescomplemented
51#2852C2214yescomplemented
52#2850C2214yescomplemented
53#2653C2214yescomplemented
54#2649C2214yescomplemented
55#2648C2214yescomplemented
56#2648C2214yescomplemented
57#2647C2212yescomplemented
58#2647C2212yescomplemented
59#2645C2212yescomplemented
60#2644C2212yescomplemented
61#2597C2214yescomplemented
62#2595C2214yescomplemented
63#2580C2212yescomplemented
64#2580C2212yescomplemented
65#2578C2214yescomplemented
66#2577C2214yescomplemented
67#2576C2214yescomplemented
68#2575C2214yescomplemented
69#2572C2214yescomplemented
70#2560C2214yescomplemented
71#2560C2214yescomplemented
72#2559C2214yescomplemented
73#2558C2214yescomplemented
74#2558C2214yescomplemented
75#2557C2214yescomplemented
76#2554C2214yescomplemented
77#2554C2214yescomplemented
78#2553C2214yescomplemented
79#2538C2212yescomplemented
80#2538C2212yescomplemented
81#2537C2212yes—
82#2537C2212yes—
83#2535C2212yes—
84#2535C2212yes—
85#2531C2214yescomplemented
86#2531C2214yescomplemented
87#2530C2214yescomplemented
88#2527C2214yescomplemented
89#2526C2214yescomplemented
90#2526C2214yescomplemented
91#2523C2214yescomplemented
92#2518C2214yescomplemented
93#2518C2214yescomplemented
94#2518C2214yescomplemented
95#2518C2214yescomplemented
96#2517C2214yescomplemented
97#2516C2214yescomplemented
98#2515C2214yescomplemented
99#2515C2214yescomplemented
100#2510C2214yes—
101#2510C2214yescomplemented
102#2510C2214yescomplemented
103#2509C2212yescomplemented
104#2508C2212yescomplemented
105#2507C2212yescomplemented
106#2506C2212yescomplemented
107#2505C2214yes—
108#2505C2214yescomplemented
109#2497C2211yescharacteristic, complemented
110#2497C2211yescharacteristic, complemented
111#2497C2212yescomplemented
112#2496C2212yescomplemented
113#2496C2211yescharacteristic, complemented
114#2496C2211yescharacteristic, complemented
115#2495C2211yescharacteristic, complemented
116#2495C2211yescharacteristic, complemented
117#2495C2212yescomplemented
118#2495C2214yescomplemented
119#2494C2212yescomplemented
120#2494C2211yescharacteristic, complemented
121#2494C2211yescharacteristic, complemented
122#2493C2212yes—
123#2493C2212yes—
124#2493C2214yescomplemented
125#2492C2211yescharacteristic, complemented
126#2492C2211yescharacteristic, complemented
127#2491C2211yescharacteristic, complemented
128#2491C2211yescharacteristic, complemented
129#2490C2214yescomplemented
130#2490C2211yescharacteristic, complemented
131#2490C2211yescharacteristic, complemented
132#2489C2214yescomplemented
133#2489C2211yescharacteristic, complemented
134#2489C2211yescharacteristic, complemented
135#2488C2212yes—
136#2488C2212yes—
137#2488C2214yescomplemented
138#2488C2214yescomplemented
139#2483C2214yes—
140#2481C2214yes—
141#2480C2212yes—
142#2480C2212yes—
143#2476C2214yescomplemented
144#2473C2214yes—
145#2472C2212yes—
146#2472C2212yes—
147#2471C2214yescomplemented
148#2467C2214yescomplemented
149#2459C2214yescomplemented
150#2458C2214yescomplemented
151#2454C2212yescomplemented
152#2454C2212yescomplemented
153#2452C2212yescomplemented
154#2452C2212yescomplemented
155#2447C2212yescomplemented
156#2447C2212yescomplemented
157#2445C2212yescomplemented
158#2445C2212yescomplemented
159#2444C2214yescomplemented
160#2437C2214yes—
161#2437C2214yes—
162#2428C2212yes—
163#2428C2212yes—
164#2427C2212yes—
165#2427C2212yes—
166#2426C2214yescomplemented
167#2425C2214yescomplemented
168#2422C2212yes—
169#2422C2212yes—
170#2422C2212yes—
171#2422C2212yes—
172#2422C2212yescomplemented
173#2422C2212yescomplemented
174#2420C2212yes—
175#2420C2212yes—
176#2420C2212yes—
177#2420C2212yes—
178#2420C2212yescomplemented
179#2420C2212yescomplemented
180#2412C2214yes—
181#2412C2214yes—
182#2412C2214yes—
183#2410C2214yes—
184#2405C2214yes—
185#2401C2212yescomplemented
186#2401C2212yescomplemented
187#2401C2214yescomplemented
188#2401C2214yescomplemented
189#2398C2212yescomplemented
190#2398C2214yescomplemented
191#2398C2212yescomplemented
192#2395C2214yescomplemented
193#2370C2212yescomplemented
194#2370C2212yescomplemented
195#2369C2212yescomplemented
196#2367C2212yescomplemented
197#2367C2212yescomplemented
198#2366C2212yescomplemented
199#2366C2212yescomplemented
200#2365C2212yescomplemented
201#2363C2212yes—
202#2363C2212yes—
203#2363C2212yes—
204#2363C2212yes—
205#2363C2212yes—
206#2363C2212yes—
207#2363C2212yes—
208#2363C2212yes—
209#2363C2212yescomplemented
210#2363C2212yescomplemented
211#2363C2212yescomplemented
212#2363C2212yescomplemented
213#2362C2212yescomplemented
214#2362C2212yescomplemented
215#2361C2212yescomplemented
216#2361C2212yescomplemented
217#2357C2212yescomplemented
218#2356C2212yescomplemented
219#2355C2212yescomplemented
220#2355C2212yescomplemented
221#2355C2212yescomplemented
222#2355C2212yescomplemented
223#2354C2212yescomplemented
224#2354C2212yescomplemented
225#2354C2212yescomplemented
226#2352C2212yescomplemented
227#2352C2212yescomplemented
228Q8×C4⋊C4C2212yescomplemented
229#2347C2212yescomplemented
230#2347C2212yescomplemented
231#2347C2212yescomplemented
232#2347C2212yescomplemented
233#2347C2212yescomplemented
234#2346C2212yescomplemented
235#2346C2212yescomplemented
236#2346C2212yescomplemented
237#2346C2212yescomplemented
238#2346C2212yescomplemented
239#2345C2212yescomplemented
240#2344C2212yescomplemented
241#2329C2214yes—
242#2321C2214yes—
243#2321C2214yes—
244#2318C2214yes—
245#2317C2211yescharacteristic
246#2317C2211yescharacteristic
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2316C2211yescharacteristic
250#2316C2211yescharacteristic
251#2312C2214yes—
252#2311C2211yescharacteristic
253#2311C2211yescharacteristic
254#2309C2211yescharacteristic
255C4×#126C2212yescomplemented
256C4×#126C2212yescomplemented
257C4×#124C2212yescomplemented
258C4×#124C2212yescomplemented
259C4×C22⋊Q8C2214yes—
260C4×C22⋊Q8C2214yescomplemented
261C4×#123C2214yes—
262C4×#123C2214yescomplemented
263C4×#120C2214yes—
264#2297C2211yescharacteristic
265#2297C2211yescharacteristic
266#2296C2211yescharacteristic
267#2296C2211yescharacteristic
268C2×#390C2212yes—
269C2×#390C2211yescharacteristic
270C2×#389C2211yescharacteristic
271#2290C2214yes—
272#2290C2214yescomplemented
273C2×#388C2212yes—
274C2×#386C2212yes—
275#2285C2211yescharacteristic
276#2283C2214yes—
277#2283C2214yescomplemented
278#2280C2211yescharacteristic
279#2280C2211yescharacteristic
280#2280C2211yescharacteristic
281#2275C2212yescomplemented
282#2275C2212yescomplemented
283#2275C2212yescomplemented
284#2275C2212yescomplemented
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2273C2214yes—
289C42×D4C2212yescomplemented
290C42×D4C2212yescomplemented
291C42×D4C2212yescomplemented
292C42×D4C2212yescomplemented
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C22⋊C4C2212yes—
297C2×C4×C22⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2214yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2312yes—
302C24×C4C2311yescharacteristic
303C24×C4C2312yes—
304#535—28no—
305#533—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#125C2311yescharacteristic
313C2×#125C2311yescharacteristic
314C2×#125C2314yes—
315C2×#124C2312yes—
316C2×#124C2312yes—
317C2×#124C2312yes—
318#525—28no—
319C2×#123C2312yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2311yescharacteristic
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×#121—28no—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2311yescharacteristic
338C2×#121C2311yescharacteristic
339C2×#121C2314yes—
340C2×#121C2314yes—
341C2×#120C2312yes—
342C2×#120C2314yes—
343#520—28no—
344#518—28no—
345#518—28no—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×D4—28no—
351C2×C4×D4C2314yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2312yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×#117—28no—
370C2×#117C2311yescharacteristic
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2314yes—
382C2×#117C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2311yescharacteristic
385C22×C4⋊C4C2312yes—
386C22×C4⋊C4C2312yes—
387C22×C4⋊C4C2311yescharacteristic
388C22×C22⋊C4C2312yes—
389C22×C22⋊C4C2312yes—
390C22×C22⋊C4C2314yes—
391C22×C22⋊C4C2314yes—
392C22×C22⋊C4C2312yes—
393C22×C22⋊C4C2312yes—
394C22×C22⋊C4C2311yescharacteristic
395C22×C22⋊C4C2311yescharacteristic
396C22×C22⋊C4C2312yes—
397C22×C42C2312yes—
398C22×C42C2311yescharacteristic
399C22×C42C2311yescharacteristic
400C22×C42C2314yes—
401C22×C42C2314yes—
402C22×C42C2312yes—
403#401C2312yes—
404#401C2314yes—
405#401C2312yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#400C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#399C2314yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2312yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2312yes—
456#396C2312yes—
457#396C2314yes—
458#396C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2312yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2312yes—
474#394C2312yes—
475#393C2312yes—
476#393C2312yes—
477#393C2314yes—
478#393C2314yes—
479#393C2312yes—
480#393C2312yes—
481#392C2314yes—
482#392C2314yes—
483#391C2314yes—
484#391C2314yes—
485#391C2312yes—
486#391C2312yes—
487#391C2314yes—
488#391C2311yescharacteristic
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2312yes—
493#391C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2312yes—
498#390C2312yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2314yes—
503#390C2314yes—
504#390C2314yes—
505#390C2312yes—
506#390C2312yes—
507#390C2314yes—
508#390C2314yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2312yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2314yes—
537#389C2314yes—
538#389C2314yes—
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2314yes—
544#389C2312yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2311yescharacteristic
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
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#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2312yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2312yes—
593#388C2312yes—
594#387C2312yes—
595#387C2312yes—
596#387C2312yes—
597#387C2312yes—
598#387C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2314yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2312yes—
626#386C2314yes—
627#386C2314yes—
628#386C2312yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2312yes—
641#386C2314yes—
642#386C2312yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2312yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2312yes—
661#384C2312yes—
662#384C2312yes—
663#384C2312yes—
664#384C2312yes—
665#384C2311yescharacteristic
666#384C2311yescharacteristic
667#383C2312yes—
668#383C2312yes—
669#383C2314yes—
670#383C2314yes—
671#383C2314yes—
672#383C2314yes—
673#382C2312yes—
674#382C2312yes—
675#382C2312yes—
676#382C2312yes—
677#382C2314yes—
678#382C2312yes—
679#382C2314yes—
680#382C2314yes—
681#382C2314yes—
682#382C2311yescharacteristic
683#382C2311yescharacteristic
684#382C2312yes—
685#381C2314yes—
686#381C2314yes—
687#381C2314yes—
688#381C2312yes—
689#381C2314yes—
690#381C2314yes—
691#381C2312yes—
692#381C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2312yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2314yes—
701#380C2312yes—
702#380C2314yes—
703#380C2311yescharacteristic
704#380C2311yescharacteristic
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#380C2311yescharacteristic
712#380C2311yescharacteristic
713#380C2311yescharacteristic
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#379C2314yes—
719#379C2312yes—
720#379C2312yes—
721#379C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2312yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2314yes—
730C4×C4⋊C4C2314yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C22⋊C4C2311yescharacteristic
761C4×C22⋊C4C2311yescharacteristic
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2312yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771C4×C22⋊C4C2314yes—
772C4×C22⋊C4C2314yes—
773C4×C22⋊C4C2314yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2312yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2314yes—
807#376C2314yes—
808#376C2314yes—
809#376C2312yes—
810#376C2312yes—
811C2×#95C2312yes—
812C2×#95C2314yes—
813C2×#95C2314yes—
814C2×#95C2311yescharacteristic
815C2×#95C2311yescharacteristic
816C2×#95C2312yes—
817C43C2312yes—
818C43C2312yes—
819C25C2411yescharacteristic
820C25C2412yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×D4—28no—
828C22×D4—24no—
829C22×D4—24no—
830C22×D4—82no—
831C22×D4—82no—
832C22×D4#4118yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2414yes—
843C23×C4—24no—
844C23×C4—24no—
845C23×C4—24no—
846C23×C4—28no—
847C23×C4—44no—
848C23×C4—82no—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2412yes—
869C23×C4C2411yescharacteristic
870C4⋊Q8—24no—
871C4⋊Q8—24no—
872#127—28no—
873#126—44no—
874#126—44no—
875#126—84no—
876#125—24no—
877#125—24no—
878#125—84no—
879#124—28no—
880#124—44no—
881#124—44no—
882#123—28no—
883#123—48no—
884#123—84no—
885#123—84no—
886#123—84no—
887C22⋊Q8—24no—
888C22⋊Q8—24no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—48no—
892C22⋊Q8—84no—
893#121—28no—
894#121—28no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—24no—
900#121—24no—
901#121—84no—
902#121—84no—
903#120—216no—
904#120—28no—
905C4×Q8—28no—
906C4×Q8—28no—
907C4×Q8—28no—
908C4×Q8—84no—
909C4×D4—28no—
910C4×D4—28no—
911C4×D4—28no—
912C4×D4—28no—
913C4×D4—216no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—28no—
920C4×D4—28no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—48no—
926C4×D4—84no—
927#117—24no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—28no—
934#117—28no—
935#117—28no—
936#117—28no—
937#117—28no—
938#117—84no—
939#117#4118yes—
940C2×C4⋊C4—24no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—82no—
944C2×C4⋊C4#4118yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C22⋊C4—216no—
1001C2×C22⋊C4—28no—
1002C2×C22⋊C4—28no—
1003C2×C22⋊C4—28no—
1004C2×C22⋊C4—216no—
1005C2×C22⋊C4—44no—
1006C2×C22⋊C4—42no—
1007C2×C22⋊C4—42no—
1008C2×C22⋊C4—82no—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2411yescharacteristic
1026C2×C22⋊C4C2411yescharacteristic
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C42—28no—
1074C2×C42—24no—
1075C2×C42—24no—
1076C2×C42—48no—
1077C2×C42—84no—
1078C2×C42—82no—
1079C2×C42C2414yes—
1080C2×C42C2414yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2414yes—
1102C2×C42C2414yes—
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2411yescharacteristic
1126#95C2414yes—
1127#95C2411yescharacteristic
1128#95C2414yes—
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2414yes—
1132#95C2414yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187C24—24no—
1188C24—24no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—42no—
1193C24—41no—
1194C24—41no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—41no—
1199C24—41no—
1200C24C2×#4118yes—
1201C24C2511yescharacteristic
1202C24C2511yescharacteristic
1203C24C2512yes—
1204C24C2514yes—
1205C24C2511yescharacteristic
1206#41—416no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—28no—
1221C2×D4—28no—
1222C2×D4—28no—
1223C2×D4—232no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—42no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—816no—
1246C2×D4C2×#4118yes—
1247C2×D4C2×#4118yes—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—28no—
1258C22×C4—28no—
1259C22×C4—24no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—28no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—24no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—28no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—28no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—28no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—42no—
1296C22×C4—41no—
1297C22×C4—42no—
1298C22×C4—41no—
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—416no—
1308C22×C4—816no—
1309C22×C4C2×#4118yes—
1310C22×C4C2×#4114yes—
1311C22×C4C2×#4114yes—
1312C22×C4C2×#4114yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2514yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2514yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4C2×#4118yes—
1395C4⋊C4C2×#4118yes—
1396C4⋊C4C2×#4114yes—
1397C4⋊C4C2×#4114yes—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—28no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—28no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—28no—
1412C22⋊C4—28no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—28no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—44no—
1432C22⋊C4—41no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—42no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4C2×#4118yes—
1462C42—28no—
1463C42—28no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—28no—
1476C42—24no—
1477C42—24no—
1478C42—24no—
1479C42—24no—
1480C42—24no—
1481C42—44no—
1482C42—44no—
1483C42—42no—
1484C42—42no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42—42no—
1492C42—42no—
1493C42—42no—
1494C42—42no—
1495C42C2×#4118yes—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—24no—
1501C23—24no—
1502C23—24no—
1503C23—24no—
1504C23—24no—
1505C23—24no—
1506C23—216no—
1507C23—21no—
1508C23—21no—
1509C23—22no—
1510C23—21no—
1511C23—21no—
1512C23—22no—
1513C23—21no—
1514C23—21no—
1515C23—22no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—21no—
1520C23—21no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—48no—
1529C23—48no—
1530C23—44no—
1531C23—44no—
1532C23—44no—
1533C23—84no—
1534C23—82no—
1535C23—84no—
1536C23—82no—
1537C23—84no—
1538C23—82no—
1539C23—84no—
1540C23—82no—
1541C23C22×#4118yes—
1542C23C22×#4112yes—
1543C23C22×#4112yes—
1544C23C22×#4112yes—
1545C23C2611yescharacteristic
1546Q8—48no—
1547Q8—44no—
1548Q8—84no—
1549D4—216no—
1550D4—216no—
1551D4—48no—
1552D4—44no—
1553D4—84no—
1554D4—84no—
1555D4—88no—
1556D4—88no—
1557D4—88no—
1558D4—88no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—24no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—22no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—24no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—24no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—48no—
1639C2×C4—416no—
1640C2×C4—44no—
1641C2×C4—44no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—44no—
1648C2×C4—48no—
1649C2×C4—88no—
1650C2×C4—88no—
1651C2×C4—88no—
1652C2×C4—88no—
1653C2×C4—82no—
1654C2×C4—82no—
1655C2×C4—84no—
1656C2×C4—88no—
1657C2×C4—88no—
1658C2×C4#529116yes—
1659C2×C4C22×#4118yes—
1660C2×C4C22×#4114yes—
1661C2×C4C22×#4114yes—
1662C2×C4C22×#4112yes—
1663C2×C4C22×#4112yes—
1664C2×C4C22×#4112yes—
1665C2×C4C22×#4112yes—
1666C2×C4C22×#4112yes—
1667C2×C4C22×#4112yes—
1668C2×C4#58512yes—
1669C2×C4#58512yes—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—22no—
1676C22—28no—
1677C22—28no—
1678C22—28no—
1679C22—44no—
1680C22—44no—
1681C22—44no—
1682C22—44no—
1683C22—42no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—42no—
1688C22—41no—
1689C22—42no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—42no—
1694C22—41no—
1695C22—42no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—42no—
1701C22—41no—
1702C22—41no—
1703C22—42no—
1704C22—816no—
1705C22—88no—
1706C22C2×#52914yes—
1707C22C23×#4111yescharacteristic
1708C22C23×#4111yescharacteristic
1709C22C23×#4111yescharacteristic
1710C22C2×#58511yescharacteristic
1711C22C2×#58511yescharacteristic
1712C22H(7,𝔽2)11yescharacteristic
1713C22H(7,𝔽2)11yescharacteristic
1714C4—22no—
1715C4—28no—
1716C4—24no—
1717C4—22no—
1718C4—24no—
1719C4—41no—
1720C4—42no—
1721C4—41no—
1722C4—42no—
1723C4—41no—
1724C4—42no—
1725C4—42no—
1726C4—41no—
1727C4—41no—
1728C4—44no—
1729C4—41no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—44no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—41no—
1740C4—41no—
1741C4—42no—
1742C4C2×#52914yes—
1743C4C2×#52914yes—
1744C2—24no—
1745C2—48no—
1746C2—82no—
1747C2—81no—
1748C2—81no—
1749C2C22×#52911yescharacteristic
1750C2#6278111yescharacteristic
1751C2#6284611yescharacteristic
1752C2#6299011yescharacteristic
1753C2#6299411yescharacteristic
1754C2#6300611yescharacteristic
1755C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35514C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36526C2semidirect
2. #36507C2semidirect
3. #36464C2semidirect
4. #36462C2semidirect
5. #36252C2semidirect
6. #36251C2semidirect
7. #36174C2semidirect
8. #36173C2semidirect
9. #36055C2semidirect
10. #36044C2semidirect
11. #36044C2semidirect
12. #35947C2semidirect
13. #35900C2semidirect
14. #35897C2semidirect
15. #35890C2semidirect
16. #35849C2semidirect
17. #35541C2semidirect
18. #35540C2semidirect
19. #35515C2semidirect
21. #35457C2semidirect
22. #35378C2semidirect
23. #35267C2semidirect
24. #35265C2semidirect
25. #34998C2semidirect
26. #34814C2semidirect
27. #34813C2semidirect
28. #34754C2semidirect
29. #34265C2semidirect
30. #34252C2semidirect
31. #34213C2semidirect
32. #34201C2semidirect
33. #34179C2semidirect
34. C2×#2363C2semidirect
35. C4×#518C2semidirect
45. #2864C22semidirect
46. #2863C22semidirect
47. #2860C22semidirect
48. #2859C22semidirect
49. #2854C22semidirect
50. #2853C22semidirect
51. #2852C22semidirect
52. #2850C22semidirect
53. #2653C22semidirect
54. #2649C22semidirect
55. #2648C22semidirect
56. #2648C22semidirect
57. #2647C22semidirect
58. #2647C22semidirect
59. #2645C22semidirect
60. #2644C22semidirect
61. #2597C22semidirect
62. #2595C22semidirect
63. #2580C22semidirect
64. #2580C22semidirect
65. #2578C22semidirect
66. #2577C22semidirect
67. #2576C22semidirect
68. #2575C22semidirect
69. #2572C22semidirect
70. #2560C22semidirect
71. #2560C22semidirect
72. #2559C22semidirect
73. #2558C22semidirect
74. #2558C22semidirect
75. #2557C22semidirect
76. #2554C22semidirect
77. #2554C22semidirect
78. #2553C22semidirect
79. #2538C22semidirect
80. #2538C22semidirect
85. #2531C22semidirect
86. #2531C22semidirect
87. #2530C22semidirect
88. #2527C22semidirect
89. #2526C22semidirect
90. #2526C22semidirect
91. #2523C22semidirect
92. #2518C22semidirect
93. #2518C22semidirect
94. #2518C22semidirect
95. #2518C22semidirect
96. #2517C22semidirect
97. #2516C22semidirect
98. #2515C22semidirect
99. #2515C22semidirect
101. #2510C22semidirect
102. #2510C22semidirect
103. #2509C22semidirect
104. #2508C22semidirect
105. #2507C22semidirect
106. #2506C22semidirect
108. #2505C22semidirect
109. #2497C22semidirect
110. #2497C22semidirect
111. #2497C22semidirect
112. #2496C22semidirect
113. #2496C22semidirect
114. #2496C22semidirect
115. #2495C22semidirect
116. #2495C22semidirect
117. #2495C22semidirect
118. #2495C22semidirect
119. #2494C22semidirect
120. #2494C22semidirect
121. #2494C22semidirect
124. #2493C22semidirect
125. #2492C22semidirect
126. #2492C22semidirect
127. #2491C22semidirect
128. #2491C22semidirect
129. #2490C22semidirect
130. #2490C22semidirect
131. #2490C22semidirect
132. #2489C22semidirect
133. #2489C22semidirect
134. #2489C22semidirect
137. #2488C22semidirect
138. #2488C22semidirect
143. #2476C22semidirect
147. #2471C22semidirect
148. #2467C22semidirect
149. #2459C22semidirect
150. #2458C22semidirect
151. #2454C22semidirect
152. #2454C22semidirect
153. #2452C22semidirect
154. #2452C22semidirect
155. #2447C22semidirect
156. #2447C22semidirect
157. #2445C22semidirect
158. #2445C22semidirect
159. #2444C22semidirect
166. #2426C22semidirect
167. #2425C22semidirect
172. #2422C22semidirect
173. #2422C22semidirect
178. #2420C22semidirect
179. #2420C22semidirect
185. #2401C22semidirect
186. #2401C22semidirect
187. #2401C22semidirect
188. #2401C22semidirect
189. #2398C22semidirect
190. #2398C22semidirect
191. #2398C22semidirect
192. #2395C22semidirect
193. #2370C22semidirect
194. #2370C22semidirect
195. #2369C22semidirect
196. #2367C22semidirect
197. #2367C22semidirect
198. #2366C22semidirect
199. #2366C22semidirect
200. #2365C22semidirect
209. #2363C22semidirect
210. #2363C22semidirect
211. #2363C22semidirect
212. #2363C22semidirect
213. #2362C22semidirect
214. #2362C22semidirect
215. #2361C22semidirect
216. #2361C22semidirect
217. #2357C22semidirect
218. #2356C22semidirect
219. #2355C22semidirect
220. #2355C22semidirect
221. #2355C22semidirect
222. #2355C22semidirect
223. #2354C22semidirect
224. #2354C22semidirect
225. #2354C22semidirect
226. #2352C22semidirect
227. #2352C22semidirect
228. Q8×C4⋊C4C22semidirect
229. #2347C22semidirect
230. #2347C22semidirect
231. #2347C22semidirect
232. #2347C22semidirect
233. #2347C22semidirect
234. #2346C22semidirect
235. #2346C22semidirect
236. #2346C22semidirect
237. #2346C22semidirect
238. #2346C22semidirect
239. #2345C22semidirect
240. #2344C22semidirect
255. C4×#126C22semidirect
256. C4×#126C22semidirect
257. C4×#124C22semidirect
258. C4×#124C22semidirect
260. C4×C22⋊Q8C22semidirect
262. C4×#123C22semidirect
272. #2290C22semidirect
277. #2283C22semidirect
281. #2275C22semidirect
282. #2275C22semidirect
283. #2275C22semidirect
284. #2275C22semidirect
289. C42×D4C22semidirect
290. C42×D4C22semidirect
291. C42×D4C22semidirect
292. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#365262
#365072
#364642
#364622
#362522
#362512
#361742
#361732
#360552
#360442
#359472
#359002
#358972
#358902
#358492
#355412
#355402
#355152
#355142
#354572
#353782
#352672
#352652
#349982
#348142
#348132
#347542
#342652
#342522
#342132
#342012
#341792
C2×#23632
C4×#5182