Finite Group Databasebeta

← #7631613

Subgroups — #7631613

Order 512.

5204 conjugacy classes of subgroups.

The subgroup lattice has 1675 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36527C212yesmaximal, complemented
2#36507C212yesmaximal, complemented
3#36454C212yesmaximal, complemented
4#36452C212yesmaximal, complemented
5#36253C212yesmaximal, complemented
6#36250C212yesmaximal, complemented
7#36175C212yesmaximal, complemented
8#36173C212yesmaximal, complemented
9#36055C212yesmaximal, complemented
10#35973C212yesmaximal, complemented
11#35973C212yesmaximal, complemented
12#35970C212yesmaximal, complemented
13#35900C212yesmaximal, complemented
14#35885C212yesmaximal, complemented
15#35875C212yesmaximal, complemented
16#35860C212yesmaximal, complemented
17#35626C211yesmaximal, characteristic, complemented
18#35617C211yesmaximal, characteristic
19#35541C211yesmaximal, characteristic
20#35529C211yesmaximal, characteristic, complemented
21#35457C214yesmaximal, complemented
22#35379C214yesmaximal, complemented
23#35313C211yesmaximal, characteristic, complemented
24#35312C211yesmaximal, characteristic, complemented
25#34999C214yesmaximal, complemented
26#34816C211yesmaximal, characteristic, complemented
27#34815C211yesmaximal, characteristic, complemented
28#34754C214yesmaximal, complemented
29#34271C211yesmaximal, characteristic, complemented
30#34266C211yesmaximal, characteristic, complemented
31#34265C211yesmaximal, characteristic
32#34252C211yesmaximal, characteristic, complemented
33#34187C211yesmaximal, characteristic, complemented
34C2×#2367C211yesmaximal, characteristic, complemented
35C4×#518C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C22×#124C2211yescharacteristic
40C2×#520C2211yescharacteristic
41C2×#518C2211yescharacteristic
42C2×#518C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×C4×D4C2211yescharacteristic
45#2863C2212yescomplemented
46#2863C2212yescomplemented
47#2862C2212yescomplemented
48#2861C2212yescomplemented
49#2855C2214yescomplemented
50#2853C2214yescomplemented
51#2852C2214yescomplemented
52#2851C2214yescomplemented
53#2653C2214yescomplemented
54#2652C2214yescomplemented
55#2652C2214yescomplemented
56#2649C2214yescomplemented
57#2645C2212yescomplemented
58#2645C2212yescomplemented
59#2642C2212yescomplemented
60#2640C2212yescomplemented
61#2597C2214yescomplemented
62#2595C2214yescomplemented
63#2578C2214yescomplemented
64#2578C2214yescomplemented
65#2577C2214yescomplemented
66#2577C2214yescomplemented
67#2576C2214yescomplemented
68#2576C2214yescomplemented
69#2575C2214yescomplemented
70#2575C2214yescomplemented
71#2573C2214yescomplemented
72#2573C2214yescomplemented
73#2572C2214yescomplemented
74#2566C2212yes—
75#2566C2212yes—
76#2563C2212yes—
77#2560C2214yescomplemented
78#2558C2214yescomplemented
79#2553C2214yescomplemented
80#2547C2212yes—
81#2547C2212yes—
82#2544C2212yes—
83#2544C2212yes—
84#2542C2212yes—
85#2531C2214yescomplemented
86#2530C2214yescomplemented
87#2530C2214yescomplemented
88#2527C2214yescomplemented
89#2527C2214yescomplemented
90#2526C2214yescomplemented
91#2523C2214yescomplemented
92#2523C2214yescomplemented
93#2518C2214yescomplemented
94#2518C2214yescomplemented
95#2517C2214yescomplemented
96#2517C2214yescomplemented
97#2516C2214yescomplemented
98#2515C2214yescomplemented
99#2515C2214yescomplemented
100#2514C2211yescharacteristic, complemented
101#2514C2211yescharacteristic, complemented
102#2514C2212yescomplemented
103#2514C2212yescomplemented
104#2513C2211yescharacteristic, complemented
105#2513C2211yescharacteristic, complemented
106#2512C2211yescharacteristic, complemented
107#2512C2211yescharacteristic, complemented
108#2511C2211yescharacteristic, complemented
109#2511C2211yescharacteristic, complemented
110#2511C2212yescomplemented
111#2511C2212yescomplemented
112#2510C2212yes—
113#2510C2212yes—
114#2510C2214yescomplemented
115#2509C2211yescharacteristic, complemented
116#2509C2211yescharacteristic, complemented
117#2508C2211yescharacteristic, complemented
118#2508C2211yescharacteristic, complemented
119#2507C2211yescharacteristic, complemented
120#2507C2211yescharacteristic, complemented
121#2506C2211yescharacteristic, complemented
122#2506C2211yescharacteristic, complemented
123#2505C2212yes—
124#2505C2212yes—
125#2505C2214yescomplemented
126#2505C2214yescomplemented
127#2495C2214yescomplemented
128#2494C2214yescomplemented
129#2493C2214yes—
130#2493C2214yes—
131#2493C2214yescomplemented
132#2493C2214yescomplemented
133#2492C2212yescomplemented
134#2492C2212yescomplemented
135#2489C2212yescomplemented
136#2489C2214yescomplemented
137#2489C2212yescomplemented
138#2488C2214yes—
139#2488C2214yes—
140#2488C2214yescomplemented
141#2483C2214yes—
142#2483C2214yes—
143#2481C2212yes—
144#2481C2212yes—
145#2477C2214yescomplemented
146#2473C2212yes—
147#2473C2212yes—
148#2470C2214yescomplemented
149#2466C2214yescomplemented
150#2460C2214yescomplemented
151#2458C2214yescomplemented
152#2454C2212yes—
153#2454C2212yes—
154#2452C2212yes—
155#2452C2212yes—
156#2450C2214yescomplemented
157#2447C2212yes—
158#2447C2212yes—
159#2447C2212yes—
160#2447C2212yes—
161#2447C2212yes—
162#2447C2212yes—
163#2447C2212yes—
164#2447C2212yes—
165#2447C2212yes—
166#2447C2212yes—
167#2445C2212yes—
168#2445C2212yes—
169#2437C2214yes—
170#2437C2214yes—
171#2427C2212yes—
172#2427C2212yes—
173#2427C2212yes—
174#2427C2212yes—
175#2422C2212yes—
176#2422C2212yes—
177#2421C2214yescomplemented
178#2420C2212yes—
179#2420C2212yes—
180#2419C2214yescomplemented
181#2412C2214yes—
182#2412C2214yes—
183#2412C2214yes—
184#2412C2214yes—
185#2402C2212yescomplemented
186#2402C2212yescomplemented
187#2401C2212yescomplemented
188#2401C2212yescomplemented
189#2401C2214yescomplemented
190#2401C2214yescomplemented
191#2398C2214yescomplemented
192#2395C2214yescomplemented
193#2370C2212yescomplemented
194#2370C2212yescomplemented
195#2370C2212yescomplemented
196#2370C2212yescomplemented
197#2369C2212yescomplemented
198#2369C2212yescomplemented
199#2367C2212yes—
200#2367C2212yes—
201#2367C2212yes—
202#2367C2212yes—
203#2367C2212yes—
204#2367C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2367C2212yes—
208#2367C2212yes—
209#2367C2212yescomplemented
210#2367C2212yescomplemented
211#2366C2212yes—
212#2366C2212yes—
213#2365C2212yescomplemented
214#2365C2212yescomplemented
215#2365C2212yescomplemented
216#2365C2212yescomplemented
217#2363C2212yes—
218#2363C2212yes—
219#2362C2212yescomplemented
220#2362C2212yescomplemented
221#2361C2212yes—
222#2361C2212yes—
223#2360C2212yescomplemented
224#2360C2212yescomplemented
225#2357C2212yescomplemented
226#2356C2212yescomplemented
227#2356C2212yescomplemented
228#2356C2212yescomplemented
229#2356C2212yescomplemented
230#2356C2212yescomplemented
231#2355C2212yescomplemented
232#2355C2212yescomplemented
233#2355C2212yescomplemented
234#2355C2212yescomplemented
235#2355C2212yescomplemented
236#2354C2212yescomplemented
237#2347C2212yescomplemented
238#2346C2212yescomplemented
239#2345C2212yescomplemented
240#2344C2212yescomplemented
241#2329C2214yes—
242#2322C2214yes—
243#2321C2214yes—
244#2318C2214yes—
245#2317C2211yescharacteristic
246#2316C2211yescharacteristic
247#2313C2214yes—
248#2311C2211yescharacteristic
249#2310C2211yescharacteristic
250#2310C2211yescharacteristic
251#2310C2211yescharacteristic
252#2309C2211yescharacteristic
253C4×#125C2212yescomplemented
254C4×#125C2212yescomplemented
255C4×#126C2212yescomplemented
256C4×#126C2212yescomplemented
257C4×C22⋊Q8C2214yes—
258C4×C22⋊Q8C2214yescomplemented
259C4×#123C2214yes—
260C4×#123C2214yescomplemented
261C4×#120C2214yes—
262#2297C2211yescharacteristic
263#2297C2211yescharacteristic
264#2297C2211yescharacteristic
265#2296C2211yescharacteristic
266#2296C2211yescharacteristic
267#2296C2211yescharacteristic
268#2296C2211yescharacteristic
269#2296C2211yescharacteristic
270C2×#391C2211yescharacteristic
271C2×#390C2211yescharacteristic
272#2290C2214yes—
273#2290C2214yescomplemented
274C2×#388C2212yes—
275C2×#388C2212yes—
276C2×#385C2212yes—
277#2285C2211yescharacteristic
278#2285C2211yescharacteristic
279#2283C2214yes—
280#2283C2214yescomplemented
281#2275C2212yes—
282#2275C2212yes—
283#2275C2212yes—
284#2275C2212yes—
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2273C2214yes—
289C42×D4C2212yes—
290C42×D4C2212yes—
291C42×D4C2212yes—
292C42×D4C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C2×C4×C4⋊C4C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2214yes—
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#544—28no—
304#536—28no—
305#535—28no—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#125C2312yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#124—28no—
317C2×#124C2312yes—
318C2×#124C2312yes—
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2314yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2314yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#120C2314yes—
334#520—28no—
335#518—28no—
336#518—28no—
337C2×C4×Q8—28no—
338C2×C4×Q8C2312yes—
339C2×C4×Q8C2312yes—
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2314yes—
344C2×C4×D4—28no—
345C2×C4×D4C2312yes—
346C2×C4×D4C2312yes—
347C2×C4×D4C2314yes—
348C2×C4×D4C2312yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2312yes—
354C2×C4×D4C2312yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2312yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2314yes—
360C2×C4×D4C2314yes—
361C2×#117C2311yescharacteristic
362C2×#117C2311yescharacteristic
363C2×#117C2311yescharacteristic
364C2×#117C2311yescharacteristic
365C2×#117C2311yescharacteristic
366C2×#117C2311yescharacteristic
367C2×#117C2312yes—
368C2×#117C2314yes—
369C2×#117C2311yescharacteristic
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2312yes—
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C22⋊C4C2312yes—
377C22×C22⋊C4C2314yes—
378C22×C22⋊C4C2314yes—
379C22×C22⋊C4C2312yes—
380C22×C22⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C42C2311yescharacteristic
384C22×C42C2312yes—
385C22×C42C2311yescharacteristic
386C22×C42C2311yescharacteristic
387C22×C42C2314yes—
388C22×C42C2314yes—
389C22×C42C2312yes—
390#401C2314yes—
391#401C2314yes—
392#401C2312yes—
393#401C2312yes—
394#400C2312yes—
395#400C2312yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2312yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2312yes—
410#400C2312yes—
411#400C2312yes—
412#400C2312yes—
413#400C2312yes—
414#400C2312yes—
415#400C2312yes—
416#400C2312yes—
417#400C2312yes—
418#399C2314yes—
419#399C2314yes—
420#398C2312yes—
421#398C2312yes—
422#398C2312yes—
423#398C2312yes—
424#398C2312yes—
425#398C2312yes—
426#398C2312yes—
427#398C2312yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2312yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2312yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2312yes—
451#397C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#393C2314yes—
467#393C2314yes—
468#393C2314yes—
469#393C2314yes—
470#391C2314yes—
471#391C2312yes—
472#391C2312yes—
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2312yes—
477#391C2312yes—
478#391C2312yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2314yes—
486#391C2312yes—
487#391C2311yescharacteristic
488#391C2314yes—
489#391C2312yes—
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2311yescharacteristic
493#391C2311yescharacteristic
494#391C2312yes—
495#391C2311yescharacteristic
496#391C2312yes—
497#391C2314yes—
498#390C2314yes—
499#390C2312yes—
500#390C2312yes—
501#390C2312yes—
502#390C2312yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2314yes—
507#390C2311yescharacteristic
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2312yes—
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2314yes—
528#389C2314yes—
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2311yescharacteristic
533#389C2311yescharacteristic
534#389C2311yescharacteristic
535#389C2311yescharacteristic
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2314yes—
550#388C2312yes—
551#388C2312yes—
552#388C2312yes—
553#388C2312yes—
554#388C2312yes—
555#388C2312yes—
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#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#387C2312yes—
581#387C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2314yes—
587#387C2312yes—
588#387C2312yes—
589#387C2312yes—
590#387C2312yes—
591#387C2312yes—
592#387C2312yes—
593#387C2312yes—
594#387C2312yes—
595#387C2314yes—
596#387C2314yes—
597#387C2314yes—
598#387C2314yes—
599#387C2314yes—
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#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2312yes—
631#386C2312yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#385C2314yes—
640#385C2314yes—
641#385C2314yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2312yes—
651#385C2312yes—
652#385C2314yes—
653#385C2312yes—
654#385C2312yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#384C2311yescharacteristic
669#384C2312yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2311yescharacteristic
673#383C2312yes—
674#383C2312yes—
675#383C2314yes—
676#383C2314yes—
677#383C2314yes—
678#383C2314yes—
679#383C2314yes—
680#382C2312yes—
681#382C2312yes—
682#382C2311yescharacteristic
683#382C2312yes—
684#382C2311yescharacteristic
685#382C2314yes—
686#382C2314yes—
687#382C2314yes—
688#382C2314yes—
689#382C2314yes—
690#382C2311yescharacteristic
691#382C2311yescharacteristic
692#381C2314yes—
693#381C2314yes—
694#381C2314yes—
695#381C2314yes—
696#381C2314yes—
697#381C2314yes—
698#381C2314yes—
699#381C2314yes—
700#381C2314yes—
701#381C2314yes—
702#380C2314yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2314yes—
715#380C2312yes—
716#379C2314yes—
717C4×C4⋊C4C2311yescharacteristic
718C4×C4⋊C4C2311yescharacteristic
719C4×C4⋊C4C2312yes—
720C4×C4⋊C4C2312yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
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⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2314yes—
806#376C2314yes—
807#376C2314yes—
808#376C2312yes—
809#376C2312yes—
810C2×#95C2312yes—
811C2×#95C2314yes—
812C2×#95C2314yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C25C2412yes—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8—24no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2411yescharacteristic
829C22×Q8C2414yes—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4#4118yes—
833C22×D4C2412yes—
834C22×D4C2411yescharacteristic
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2414yes—
839C23×C4—28no—
840C23×C4—44no—
841C23×C4—82no—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2414yes—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C4⋊Q8—28no—
861C4⋊Q8—28no—
862C4⋊Q8—28no—
863#127—28no—
864#126—44no—
865#126—44no—
866#125—28no—
867#125—28no—
868#125—44no—
869#125—44no—
870#124—28no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—28no—
875#124—28no—
876#123—216no—
877#123—48no—
878#123—84no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—216no—
882C22⋊Q8—48no—
883C22⋊Q8—84no—
884#121—28no—
885#121—28no—
886#120—216no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—84no—
893C4×D4—28no—
894C4×D4—28no—
895C4×D4—28no—
896C4×D4—28no—
897C4×D4—216no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—28no—
902C4×D4—28no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—28no—
906C4×D4—28no—
907C4×D4—48no—
908C4×D4—84no—
909#117—24no—
910#117—24no—
911#117—24no—
912#117—24no—
913#117—24no—
914#117—24no—
915#117—28no—
916#117—84no—
917#117#4118yes—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—42no—
922C2×C4⋊C4—42no—
923C2×C4⋊C4#4118yes—
924C2×C4⋊C4C2411yescharacteristic
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2414yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2411yescharacteristic
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C22⋊C4—216no—
991C2×C22⋊C4—28no—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—28no—
994C2×C22⋊C4—216no—
995C2×C22⋊C4—44no—
996C2×C22⋊C4—82no—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2414yes—
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2414yes—
1005C2×C22⋊C4C2414yes—
1006C2×C22⋊C4C2414yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C42—24no—
1042C2×C42—28no—
1043C2×C42—24no—
1044C2×C42—24no—
1045C2×C42—48no—
1046C2×C42—84no—
1047C2×C42—82no—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2412yes—
1051C2×C42C2414yes—
1052C2×C42C2412yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2411yescharacteristic
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2414yes—
1060C2×C42C2414yes—
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2414yes—
1072C2×C42C2414yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086#95C2412yes—
1087#95C2412yes—
1088#95C2412yes—
1089#95C2412yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2414yes—
1094#95C2414yes—
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2414yes—
1099#95C2414yes—
1100#95C2414yes—
1101#95C2414yes—
1102#95C2411yescharacteristic
1103#95C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2414yes—
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#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172C24—24no—
1173C24—24no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24C2×#4118yes—
1179C24C2512yes—
1180C24C2514yes—
1181C24C2511yescharacteristic
1182#41—416no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—28no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8—416no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—232no—
1202C2×D4—24no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4C2×#4118yes—
1214C2×D4C2×#4118yes—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—28no—
1225C22×C4—28no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—28no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—28no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—28no—
1235C22×C4—28no—
1236C22×C4—28no—
1237C22×C4—28no—
1238C22×C4—41no—
1239C22×C4—42no—
1240C22×C4—44no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—44no—
1248C22×C4—44no—
1249C22×C4—42no—
1250C22×C4—44no—
1251C22×C4—44no—
1252C22×C4—42no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—44no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—44no—
1262C22×C4—44no—
1263C22×C4—41no—
1264C22×C4—44no—
1265C22×C4—816no—
1266C22×C4C2×#4118yes—
1267C22×C4C2×#4114yes—
1268C22×C4C2×#4114yes—
1269C22×C4C2×#4114yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2514yes—
1273C22×C4C2512yes—
1274C22×C4C2511yescharacteristic
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C22×C4C2514yes—
1296C22×C4C2512yes—
1297C22×C4C2512yes—
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C4⋊C4—22no—
1303C4⋊C4—28no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—28no—
1320C4⋊C4—28no—
1321C4⋊C4—28no—
1322C4⋊C4—28no—
1323C4⋊C4—28no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—42no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—42no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4C2×#4118yes—
1365C4⋊C4C2×#4118yes—
1366C4⋊C4C2×#4114yes—
1367C4⋊C4C2×#4114yes—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—28no—
1373C22⋊C4—28no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—28no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—28no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—24no—
1392C22⋊C4—44no—
1393C22⋊C4—44no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—42no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—42no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4C2×#4118yes—
1412C42—22no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—28no—
1419C42—22no—
1420C42—22no—
1421C42—28no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—28no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—24no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C42—42no—
1439C42—44no—
1440C42—44no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—42no—
1445C42—44no—
1446C42—44no—
1447C42—42no—
1448C42—42no—
1449C42C2×#4118yes—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—24no—
1455C23—24no—
1456C23—24no—
1457C23—24no—
1458C23—24no—
1459C23—24no—
1460C23—216no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—48no—
1469C23—48no—
1470C23—84no—
1471C23—84no—
1472C23—84no—
1473C23—84no—
1474C23C22×#4118yes—
1475C23C22×#4112yes—
1476C23C22×#4112yes—
1477C23C22×#4112yes—
1478C23C2611yescharacteristic
1479Q8—48no—
1480Q8—48no—
1481Q8—44no—
1482Q8—88no—
1483D4—216no—
1484D4—216no—
1485D4—48no—
1486D4—44no—
1487D4—88no—
1488D4—88no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—24no—
1493C2×C4—22no—
1494C2×C4—24no—
1495C2×C4—21no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—24no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—22no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—24no—
1525C2×C4—24no—
1526C2×C4—24no—
1527C2×C4—22no—
1528C2×C4—22no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—24no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—48no—
1575C2×C4—416no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—48no—
1581C2×C4—48no—
1582C2×C4—88no—
1583C2×C4—88no—
1584C2×C4—88no—
1585C2×C4—88no—
1586C2×C4—82no—
1587C2×C4—82no—
1588C2×C4—84no—
1589C2×C4—88no—
1590C2×C4—88no—
1591C2×C4#529116yes—
1592C2×C4C22×#4118yes—
1593C2×C4C22×#4114yes—
1594C2×C4C22×#4114yes—
1595C2×C4C22×#4112yes—
1596C2×C4C22×#4112yes—
1597C2×C4C22×#4112yes—
1598C2×C4C22×#4112yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4#58512yes—
1602C2×C4#58512yes—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—28no—
1610C22—28no—
1611C22—28no—
1612C22—44no—
1613C22—44no—
1614C22—44no—
1615C22—44no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22—42no—
1621C22—42no—
1622C22—42no—
1623C22—816no—
1624C22C2×#52914yes—
1625C22C23×#4111yescharacteristic
1626C22C23×#4111yescharacteristic
1627C22C23×#4111yescharacteristic
1628C22C2×#58511yescharacteristic
1629C22C2×#58511yescharacteristic
1630C22H(7,𝔽2)11yescharacteristic
1631C222−1+611yescharacteristic
1632C4—22no—
1633C4—28no—
1634C4—24no—
1635C4—22no—
1636C4—24no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—42no—
1648C4—44no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—42no—
1655C4—41no—
1656C4—41no—
1657C4—42no—
1658C4—42no—
1659C4—42no—
1660C4—42no—
1661C4—44no—
1662C4C2×#52914yes—
1663C4C2×#52914yes—
1664C2—24no—
1665C2—48no—
1666C2—82no—
1667C2C22×#52911yescharacteristic
1668C2#6278111yescharacteristic
1669C2#6284711yescharacteristic
1670C2#6299011yescharacteristic
1671C2#6299511yescharacteristic
1672C2#6300511yescharacteristic
1673C2#6301011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36527C2semidirect
2. #36507C2semidirect
3. #36454C2semidirect
4. #36452C2semidirect
5. #36253C2semidirect
6. #36250C2semidirect
7. #36175C2semidirect
8. #36173C2semidirect
9. #36055C2semidirect
10. #35973C2semidirect
11. #35973C2semidirect
12. #35970C2semidirect
13. #35900C2semidirect
14. #35885C2semidirect
15. #35875C2semidirect
16. #35860C2semidirect
17. #35626C2semidirect
20. #35529C2semidirect
21. #35457C2semidirect
22. #35379C2semidirect
23. #35313C2semidirect
24. #35312C2semidirect
25. #34999C2semidirect
26. #34816C2semidirect
27. #34815C2semidirect
28. #34754C2semidirect
29. #34271C2semidirect
30. #34266C2semidirect
32. #34252C2semidirect
33. #34187C2semidirect
34. C2×#2367C2semidirect
35. C4×#518C2semidirect
45. #2863C22semidirect
46. #2863C22semidirect
47. #2862C22semidirect
48. #2861C22semidirect
49. #2855C22semidirect
50. #2853C22semidirect
51. #2852C22semidirect
52. #2851C22semidirect
53. #2653C22semidirect
54. #2652C22semidirect
55. #2652C22semidirect
56. #2649C22semidirect
57. #2645C22semidirect
58. #2645C22semidirect
59. #2642C22semidirect
60. #2640C22semidirect
61. #2597C22semidirect
62. #2595C22semidirect
63. #2578C22semidirect
64. #2578C22semidirect
65. #2577C22semidirect
66. #2577C22semidirect
67. #2576C22semidirect
68. #2576C22semidirect
69. #2575C22semidirect
70. #2575C22semidirect
71. #2573C22semidirect
72. #2573C22semidirect
73. #2572C22semidirect
77. #2560C22semidirect
78. #2558C22semidirect
79. #2553C22semidirect
85. #2531C22semidirect
86. #2530C22semidirect
87. #2530C22semidirect
88. #2527C22semidirect
89. #2527C22semidirect
90. #2526C22semidirect
91. #2523C22semidirect
92. #2523C22semidirect
93. #2518C22semidirect
94. #2518C22semidirect
95. #2517C22semidirect
96. #2517C22semidirect
97. #2516C22semidirect
98. #2515C22semidirect
99. #2515C22semidirect
100. #2514C22semidirect
101. #2514C22semidirect
102. #2514C22semidirect
103. #2514C22semidirect
104. #2513C22semidirect
105. #2513C22semidirect
106. #2512C22semidirect
107. #2512C22semidirect
108. #2511C22semidirect
109. #2511C22semidirect
110. #2511C22semidirect
111. #2511C22semidirect
114. #2510C22semidirect
115. #2509C22semidirect
116. #2509C22semidirect
117. #2508C22semidirect
118. #2508C22semidirect
119. #2507C22semidirect
120. #2507C22semidirect
121. #2506C22semidirect
122. #2506C22semidirect
125. #2505C22semidirect
126. #2505C22semidirect
127. #2495C22semidirect
128. #2494C22semidirect
131. #2493C22semidirect
132. #2493C22semidirect
133. #2492C22semidirect
134. #2492C22semidirect
135. #2489C22semidirect
136. #2489C22semidirect
137. #2489C22semidirect
140. #2488C22semidirect
145. #2477C22semidirect
148. #2470C22semidirect
149. #2466C22semidirect
150. #2460C22semidirect
151. #2458C22semidirect
156. #2450C22semidirect
177. #2421C22semidirect
180. #2419C22semidirect
185. #2402C22semidirect
186. #2402C22semidirect
187. #2401C22semidirect
188. #2401C22semidirect
189. #2401C22semidirect
190. #2401C22semidirect
191. #2398C22semidirect
192. #2395C22semidirect
193. #2370C22semidirect
194. #2370C22semidirect
195. #2370C22semidirect
196. #2370C22semidirect
197. #2369C22semidirect
198. #2369C22semidirect
209. #2367C22semidirect
210. #2367C22semidirect
213. #2365C22semidirect
214. #2365C22semidirect
215. #2365C22semidirect
216. #2365C22semidirect
219. #2362C22semidirect
220. #2362C22semidirect
223. #2360C22semidirect
224. #2360C22semidirect
225. #2357C22semidirect
226. #2356C22semidirect
227. #2356C22semidirect
228. #2356C22semidirect
229. #2356C22semidirect
230. #2356C22semidirect
231. #2355C22semidirect
232. #2355C22semidirect
233. #2355C22semidirect
234. #2355C22semidirect
235. #2355C22semidirect
236. #2354C22semidirect
237. #2347C22semidirect
238. #2346C22semidirect
239. #2345C22semidirect
240. #2344C22semidirect
253. C4×#125C22semidirect
254. C4×#125C22semidirect
255. C4×#126C22semidirect
256. C4×#126C22semidirect
258. C4×C22⋊Q8C22semidirect
260. C4×#123C22semidirect
273. #2290C22semidirect
280. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#365272
#365072
#364542
#364522
#362532
#362502
#361752
#361732
#360552
#359732
#359702
#359002
#358852
#358752
#358602
#356262
#356172
#355412
#355292
#354572
#353792
#353132
#353122
#349992
#348162
#348152
#347542
#342712
#342662
#342652
#342522
#341872
C2×#23672
C4×#5182