Finite Group Databasebeta

← #7632731

Subgroups — #7632731

Order 512.

4987 conjugacy classes of subgroups.

The subgroup lattice has 1685 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36589C212yesmaximal, complemented
2#36490C212yesmaximal, complemented
3#36408C212yesmaximal, complemented
4#36342C214yesmaximal, complemented
5#36311C212yesmaximal, complemented
6#36308C214yesmaximal, complemented
7#36068C214yesmaximal, complemented
8#36058C212yesmaximal, complemented
9#35977C214yesmaximal, complemented
10#35901C212yesmaximal, complemented
11#35886C212yesmaximal, complemented
12#35880C212yesmaximal, complemented
13#35668C211yesmaximal, characteristic, complemented
14#35661C211yesmaximal, characteristic
15#35657C212yesmaximal, complemented
16#35657C212yesmaximal, complemented
17#35655C212yesmaximal, complemented
18#35627C211yesmaximal, characteristic, complemented
19#35604C212yesmaximal, complemented
20#35542C211yesmaximal, characteristic
21#35267C211yesmaximal, characteristic, complemented
22#35185C212yesmaximal, complemented
23#35183C212yesmaximal, complemented
24#35182C211yesmaximal, characteristic, complemented
25#34945C212yesmaximal, complemented
26#34898C212yesmaximal, complemented
27#34814C211yesmaximal, characteristic, complemented
28C2×#2421C211yesmaximal, characteristic, complemented
29#34272C211yesmaximal, characteristic, complemented
30#34268C211yesmaximal, characteristic, complemented
31#34203C211yesmaximal, characteristic, complemented
32#34189C211yesmaximal, characteristic, complemented
33#34180C211yesmaximal, characteristic, complemented
34#34136C211yesmaximal, characteristic
35C4×#519C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#525C2211yescharacteristic
39C22×C22⋊Q8C2211yescharacteristic
40C2×#519C2211yescharacteristic
41C2×#519C2211yescharacteristic
42C2×C4×#41C2211yescharacteristic
43C22×C4×Q8C2211yescharacteristic
44C22×#117C2211yescharacteristic
45#2866C2214yescomplemented
46#2865C2214yes—
47#2864C2214yescomplemented
48#2863C2212yescomplemented
49#2860C2214yes—
50#2860C2212yescomplemented
51#2853C2214yes—
52#2655C2214yescomplemented
53#2651C2214yes—
54#2650C2214yes—
55#2650C2214yescomplemented
56#2645C2212yescomplemented
57#2644C2212yescomplemented
58#2623C2214yes—
59#2597C2214yes—
60#2597C2214yes—
61#2596C2214yescomplemented
62#2596C2214yescomplemented
63#2595C2214yes—
64#2594C2214yes—
65#2593C2214yes—
66#2589C2214yescomplemented
67#2588C2214yescomplemented
68#2587C2214yes—
69#2587C2214yescomplemented
70#2585C2214yescomplemented
71#2577C2214yes—
72#2575C2214yescomplemented
73#2573C2214yes—
74#2573C2214yescomplemented
75#2571C2212yescomplemented
76#2571C2212yescomplemented
77#2570C2212yescomplemented
78#2570C2212yescomplemented
79#2568C2212yescomplemented
80#2567C2212yescomplemented
81#2565C2212yescomplemented
82#2565C2212yescomplemented
83#2563C2212yes—
84#2562C2212yes—
85#2562C2212yes—
86#2547C2212yes—
87#2538C2212yes—
88#2538C2212yes—
89#2536C2212yes—
90#2536C2212yes—
91#2533C2214yescomplemented
92#2533C2214yescomplemented
93#2533C2214yescomplemented
94#2533C2214yescomplemented
95#2532C2214yes—
96#2532C2214yes—
97#2530C2214yes—
98#2529C2214yes—
99#2529C2214yescomplemented
100#2529C2214yescomplemented
101#2528C2214yescomplemented
102#2527C2214yescomplemented
103#2526C2214yes—
104#2526C2214yes—
105#2525C2214yes—
106#2525C2214yescomplemented
107#2524C2214yescomplemented
108#2524C2214yescomplemented
109#2521C2214yes—
110#2520C2214yescomplemented
111#2516C2214yes—
112#2515C2214yes—
113#2515C2214yescomplemented
114#2514C2214yescomplemented
115#2513C2214yes—
116#2510C2214yes—
117#2509C2212yescomplemented
118#2509C2212yescomplemented
119#2509C2214yescomplemented
120#2508C2212yescomplemented
121#2508C2212yescomplemented
122#2505C2214yes—
123#2505C2214yes—
124#2497C2211yescharacteristic
125#2497C2211yescharacteristic
126#2497C2212yescomplemented
127#2496C2211yescharacteristic
128#2496C2211yescharacteristic
129#2496C2212yescomplemented
130#2495C2211yescharacteristic
131#2495C2211yescharacteristic
132#2495C2212yescomplemented
133#2494C2211yescharacteristic
134#2494C2211yescharacteristic
135#2494C2212yescomplemented
136#2493C2212yes—
137#2493C2212yes—
138#2492C2212yes—
139#2491C2212yes—
140#2490C2212yes—
141#2489C2212yes—
142#2488C2214yes—
143#2481C2214yes—
144#2480C2212yes—
145#2480C2212yes—
146#2478C2214yes—
147#2474C2214yes—
148#2472C2214yes—
149#2469C2214yes—
150#2469C2214yescomplemented
151#2468C2214yes—
152#2453C2212yescomplemented
153#2453C2212yescomplemented
154#2451C2212yescomplemented
155#2451C2212yescomplemented
156#2448C2212yescomplemented
157#2448C2212yescomplemented
158#2447C2214yes—
159#2446C2212yescomplemented
160#2446C2212yescomplemented
161#2438C2214yes—
162#2438C2214yes—
163#2429C2212yes—
164#2429C2212yes—
165#2426C2212yes—
166#2426C2212yes—
167#2423C2212yescomplemented
168#2423C2212yescomplemented
169#2421C2212yes—
170#2421C2212yes—
171#2421C2212yes—
172#2421C2212yes—
173#2421C2212yes—
174#2421C2212yes—
175#2421C2212yes—
176#2421C2212yes—
177#2421C2212yescomplemented
178#2421C2212yescomplemented
179#2413C2214yes—
180#2411C2214yes—
181#2402C2214yescomplemented
182#2401C2212yes—
183#2401C2214yes—
184#2401C2212yes—
185#2401C2214yescomplemented
186#2395C2214yes—
187C2×#400C2212yes—
188C2×#397C2212yes—
189#2370C2212yescomplemented
190#2370C2212yescomplemented
191#2369C2212yescomplemented
192#2368C2214yes—
193#2367C2212yescomplemented
194#2367C2212yescomplemented
195#2365C2212yescomplemented
196#2365C2212yescomplemented
197#2365C2212yescomplemented
198#2363C2211yescharacteristic
199#2363C2211yescharacteristic
200#2362C2211yescharacteristic
201#2362C2212yes—
202#2362C2211yescharacteristic
203#2362C2212yes—
204#2361C2211yescharacteristic
205#2361C2211yescharacteristic
206#2360C2212yes—
207#2360C2211yescharacteristic
208#2360C2212yes—
209#2360C2211yescharacteristic
210#2360C2214yes—
211#2359C2212yes—
212#2359C2212yes—
213#2359C2214yes—
214#2359C2214yes—
215#2358C2212yes—
216#2358C2212yes—
217#2357C2212yescomplemented
218#2357C2212yescomplemented
219#2356C2212yescomplemented
220#2356C2212yescomplemented
221#2353C2214yes—
222#2353C2214yes—
223#2347C2212yes—
224#2346C2212yes—
225#2345C2212yes—
226#2344C2212yes—
227#2344C2214yes—
228#2343C2214yes—
229#2342C2214yes—
230#2342C2214yes—
231#2331C2212yescomplemented
232#2330C2212yescomplemented
233#2323C2212yes—
234#2323C2212yes—
235#2323C2212yescomplemented
236#2323C2212yescomplemented
237#2317C2211yescharacteristic
238#2317C2211yescharacteristic
239#2317C2211yescharacteristic
240#2316C2211yescharacteristic
241#2314C2212yes—
242#2314C2212yes—
243#2314C2212yescomplemented
244#2314C2212yescomplemented
245#2311C2211yescharacteristic
246#2311C2211yescharacteristic
247#2311C2211yescharacteristic
248#2310C2211yescharacteristic
249C4×C4⋊Q8C2212yescomplemented
250C4×#125C2212yescomplemented
251C4×#126C2212yes—
252C4×#126C2212yes—
253C4×#126C2214yescomplemented
254C4×#124C2214yes—
255C4×C22⋊Q8C2212yes—
256C4×C22⋊Q8C2212yes—
257C4×C22⋊Q8C2212yescomplemented
258C4×C22⋊Q8C2212yescomplemented
259#2298C2214yes—
260#2297C2211yescharacteristic
261#2296C2211yescharacteristic
262#2296C2211yescharacteristic
263#2296C2211yescharacteristic
264#2295C2214yescomplemented
265C2×#391C2211yescharacteristic
266#2293C2212yes—
267C2×#389C2211yescharacteristic
268#2290C2212yes—
269#2290C2212yes—
270C2×#388C2212yes—
271C2×#387C2212yes—
272#2285C2212yes—
273#2285C2211yescharacteristic
274#2283C2212yes—
275#2283C2212yescomplemented
276#2283C2212yescomplemented
277C2×#382C2211yescharacteristic
278#2280C2211yescharacteristic
279#2280C2211yescharacteristic
280C2×#380C2211yescharacteristic
281#2276C2212yescomplemented
282#2276C2212yescomplemented
283#2276C2212yescomplemented
284#2276C2212yescomplemented
285#2274C2211yescharacteristic
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2274C2214yes—
289#2274C2211yescharacteristic
290C42×Q8C2212yescomplemented
291C42×Q8C2212yescomplemented
292C42×Q8C2212yescomplemented
293C42×Q8C2212yescomplemented
294C42×D4C2212yes—
295C4×#117C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2214yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C24×C4C2311yescharacteristic
302#544—28no—
303#536—28no—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2314yes—
310C2×#125C2312yes—
311C2×#125C2312yes—
312C2×#124C2312yes—
313C2×#124C2314yes—
314#525—28no—
315C2×#123C2314yes—
316C2×#123C2312yes—
317C2×C22⋊Q8—28no—
318C2×C22⋊Q8C2312yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2311yescharacteristic
323C2×C22⋊Q8C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2311yescharacteristic
326C2×C22⋊Q8C2312yes—
327C2×#121C2311yescharacteristic
328C2×#121C2311yescharacteristic
329C2×#120C2312yes—
330#519—28no—
331#519—28no—
332C4×#41—28no—
333C2×C4×Q8—28no—
334C2×C4×Q8C2312yes—
335C2×C4×Q8C2312yes—
336C2×C4×Q8C2312yes—
337C2×C4×Q8C2312yes—
338C2×C4×Q8C2311yescharacteristic
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2312yes—
343C2×C4×Q8C2312yes—
344C2×C4×Q8C2312yes—
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2314yes—
349C2×C4×D4C2312yes—
350C2×C4×D4C2312yes—
351C2×C4×D4C2312yes—
352C2×C4×D4C2312yes—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×#117—28no—
358C2×#117C2311yescharacteristic
359C2×#117C2311yescharacteristic
360C2×#117C2311yescharacteristic
361C2×#117C2311yescharacteristic
362C2×#117C2312yes—
363C2×#117C2312yes—
364C2×#117C2311yescharacteristic
365C2×#117C2314yes—
366C2×#117C2312yes—
367C2×#117C2311yescharacteristic
368C2×#117C2311yescharacteristic
369C2×#117C2314yes—
370C2×#117C2314yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C22×C4⋊C4C2311yescharacteristic
374C22×C4⋊C4C2311yescharacteristic
375C22×C4⋊C4C2311yescharacteristic
376C22×C4⋊C4C2311yescharacteristic
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2311yescharacteristic
379C22×C4⋊C4C2312yes—
380C22×C4⋊C4C2312yes—
381C22×C22⋊C4C2312yes—
382C22×C22⋊C4C2312yes—
383C22×C22⋊C4C2312yes—
384C22×C22⋊C4C2311yescharacteristic
385C22×C22⋊C4C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2312yes—
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391#401C2314yes—
392#401C2312yes—
393#401C2312yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2312yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2312yes—
409#400C2312yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#399C2314yes—
420#399C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2312yes—
435#397C2314yes—
436#397C2314yes—
437#397C2312yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2312yes—
451#396C2314yes—
452#396C2314yes—
453#396C2312yes—
454#396C2314yes—
455#395C2314yes—
456#395C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#393C2314yes—
462#393C2314yes—
463#391C2314yes—
464#391C2312yes—
465#391C2312yes—
466#391C2312yes—
467#391C2312yes—
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2314yes—
474#391C2314yes—
475#391C2314yes—
476#391C2314yes—
477#391C2314yes—
478#391C2311yescharacteristic
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2312yes—
482#390C2314yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2314yes—
488#390C2314yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2311yescharacteristic
492#389C2311yescharacteristic
493#389C2312yes—
494#389C2311yescharacteristic
495#389C2314yes—
496#389C2314yes—
497#389C2314yes—
498#389C2311yescharacteristic
499#389C2311yescharacteristic
500#389C2312yes—
501#389C2312yes—
502#389C2311yescharacteristic
503#389C2311yescharacteristic
504#389C2314yes—
505#389C2314yes—
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2314yes—
516#389C2314yes—
517#389C2314yes—
518#389C2312yes—
519#389C2311yescharacteristic
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2314yes—
526#389C2312yes—
527#389C2311yescharacteristic
528#389C2311yescharacteristic
529#389C2311yescharacteristic
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2314yes—
533#388C2312yes—
534#388C2312yes—
535#388C2312yes—
536#388C2312yes—
537#388C2312yes—
538#388C2312yes—
539#388C2314yes—
540#388C2314yes—
541#388C2314yes—
542#388C2314yes—
543#388C2314yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2312yes—
571#388C2314yes—
572#388C2314yes—
573#388C2314yes—
574#388C2312yes—
575#388C2312yes—
576#388C2314yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#387C2312yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2314yes—
589#387C2314yes—
590#387C2314yes—
591#387C2314yes—
592#387C2314yes—
593#387C2314yes—
594#387C2314yes—
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#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2312yes—
637#386C2312yes—
638#386C2312yes—
639#386C2312yes—
640#386C2312yes—
641#386C2312yes—
642#385C2314yes—
643#385C2314yes—
644#385C2314yes—
645#385C2314yes—
646#385C2314yes—
647#385C2314yes—
648#385C2314yes—
649#385C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2312yes—
654#385C2312yes—
655#385C2312yes—
656#385C2312yes—
657#385C2312yes—
658#385C2312yes—
659#384C2312yes—
660#384C2311yescharacteristic
661#384C2312yes—
662#384C2311yescharacteristic
663#384C2312yes—
664#383C2312yes—
665#383C2312yes—
666#383C2314yes—
667#383C2314yes—
668#383C2314yes—
669#383C2314yes—
670#382C2312yes—
671#382C2314yes—
672#382C2311yescharacteristic
673#382C2312yes—
674#382C2311yescharacteristic
675#382C2312yes—
676#382C2312yes—
677#382C2312yes—
678#382C2314yes—
679#382C2314yes—
680#382C2314yes—
681#382C2312yes—
682#382C2312yes—
683#381C2314yes—
684#381C2314yes—
685#381C2314yes—
686#381C2314yes—
687#381C2312yes—
688#381C2312yes—
689#380C2312yes—
690#380C2311yescharacteristic
691#380C2311yescharacteristic
692#380C2312yes—
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2311yescharacteristic
697#380C2312yes—
698#380C2312yes—
699#380C2312yes—
700#380C2311yescharacteristic
701#380C2311yescharacteristic
702#380C2314yes—
703#380C2314yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2311yescharacteristic
709#380C2311yescharacteristic
710#380C2311yescharacteristic
711#379C2312yes—
712#379C2312yes—
713C4×C4⋊C4C2312yes—
714C4×C4⋊C4C2312yes—
715C4×C4⋊C4C2312yes—
716C4×C4⋊C4C2312yes—
717C4×C4⋊C4C2312yes—
718C4×C4⋊C4C2314yes—
719C4×C4⋊C4C2314yes—
720C4×C4⋊C4C2314yes—
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2314yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2314yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C22⋊C4C2311yescharacteristic
768C4×C22⋊C4C2311yescharacteristic
769C4×C22⋊C4C2312yes—
770C4×C22⋊C4C2312yes—
771C4×C22⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2311yescharacteristic
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2312yes—
801#376C2314yes—
802#376C2314yes—
803#376C2314yes—
804#376C2312yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2312yes—
808C2×#95C2312yes—
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2311yescharacteristic
812C2×#95C2312yes—
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C43C2312yes—
816C43C2314yes—
817C43C2312yes—
818C43C2314yes—
819C25C2411yescharacteristic
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C22×Q8—24no—
824C22×Q8—24no—
825C22×Q8#4118yes—
826C22×Q8C2411yescharacteristic
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2412yes—
834C23×C4—24no—
835C23×C4—24no—
836C23×C4—24no—
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C4⋊Q8—28no—
857C4⋊Q8—28no—
858C4⋊Q8—28no—
859#126—44no—
860#126—48no—
861#126—44no—
862#125—28no—
863#125—28no—
864#124—28no—
865#124—48no—
866#123—216no—
867#123—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—24no—
876C22⋊Q8—216no—
877#121—24no—
878#121—24no—
879#120—28no—
880C4×Q8—28no—
881C4×Q8—28no—
882C4×Q8—28no—
883C4×Q8—28no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—28no—
887C4×Q8—28no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—28no—
894C4×Q8—48no—
895C4×D4—24no—
896C4×D4—24no—
897C4×D4—28no—
898C4×D4—28no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—44no—
902C4×D4—44no—
903#117—24no—
904#117—24no—
905#117—24no—
906#117—24no—
907#117—24no—
908#117—24no—
909#117—24no—
910#117—28no—
911#117—216no—
912#117—216no—
913#117—28no—
914#117—28no—
915#117—48no—
916#117#4118yes—
917#117#4118yes—
918C2×C4⋊C4—28no—
919C2×C4⋊C4—24no—
920C2×C4⋊C4—28no—
921C2×C4⋊C4—24no—
922C2×C4⋊C4—24no—
923C2×C4⋊C4—24no—
924C2×C4⋊C4—24no—
925C2×C4⋊C4—44no—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2414yes—
938C2×C4⋊C4C2414yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2414yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C22⋊C4—28no—
992C2×C22⋊C4—28no—
993C2×C22⋊C4—42no—
994C2×C22⋊C4—44no—
995C2×C22⋊C4—42no—
996C2×C22⋊C4C2412yes—
997C2×C22⋊C4C2412yes—
998C2×C22⋊C4C2412yes—
999C2×C22⋊C4C2414yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2411yescharacteristic
1002C2×C22⋊C4C2414yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2411yescharacteristic
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2411yescharacteristic
1022C2×C22⋊C4C2411yescharacteristic
1023C2×C22⋊C4C2411yescharacteristic
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C42—28no—
1044C2×C42—24no—
1045C2×C42—24no—
1046C2×C42—28no—
1047C2×C42—28no—
1048C2×C42C2412yes—
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2412yes—
1052C2×C42C2414yes—
1053C2×C42C2414yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2414yes—
1058C2×C42C2412yes—
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2414yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2412yes—
1084C2×C42C2414yes—
1085C2×C42C2412yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2414yes—
1101#95C2414yes—
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171C24—22no—
1172C24—22no—
1173C24—22no—
1174C24—22no—
1175C24—41no—
1176C24—41no—
1177C24—41no—
1178C24C2511yescharacteristic
1179C24C2512yes—
1180C24C2511yescharacteristic
1181C24C2511yescharacteristic
1182#41—416no—
1183C2×Q8—232no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—28no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8C2×#4118yes—
1195C2×Q8C2×#4118yes—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—22no—
1201C2×D4—24no—
1202C2×D4—22no—
1203C2×D4—22no—
1204C2×D4—24no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—22no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—22no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—41no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—41no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—416no—
1262C22×C4C2×#4118yes—
1263C22×C4C2×#4114yes—
1264C22×C4C2×#4114yes—
1265C22×C4C2×#4114yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2511yescharacteristic
1271C22×C4C2512yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2511yescharacteristic
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2512yes—
1285C22×C4C2512yes—
1286C22×C4C2512yes—
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2514yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—28no—
1302C4⋊C4—28no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—28no—
1316C4⋊C4—28no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—28no—
1328C4⋊C4—28no—
1329C4⋊C4—28no—
1330C4⋊C4—28no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—44no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—42no—
1341C4⋊C4—42no—
1342C4⋊C4—44no—
1343C4⋊C4—42no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4C2×#4114yes—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4C2×#4114yes—
1361C4⋊C4C2×#4114yes—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—24no—
1365C22⋊C4—24no—
1366C22⋊C4—24no—
1367C22⋊C4—28no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—28no—
1375C22⋊C4—28no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—28no—
1383C22⋊C4—28no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—24no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4C2×#4118yes—
1408C22⋊C4C2×#4118yes—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—22no—
1413C42—24no—
1414C42—22no—
1415C42—22no—
1416C42—24no—
1417C42—24no—
1418C42—28no—
1419C42—22no—
1420C42—22no—
1421C42—28no—
1422C42—22no—
1423C42—22no—
1424C42—28no—
1425C42—28no—
1426C42—28no—
1427C42—28no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—24no—
1432C42—24no—
1433C42—24no—
1434C42—42no—
1435C42—42no—
1436C42—42no—
1437C42—44no—
1438C42—44no—
1439C42—44no—
1440C42—42no—
1441C42—44no—
1442C42—44no—
1443C42—42no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—42no—
1448C42C2×#4118yes—
1449C42C2×#4118yes—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—22no—
1463C23—22no—
1464C23—21no—
1465C23—22no—
1466C23—21no—
1467C23—22no—
1468C23—21no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—21no—
1473C23—21no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—82no—
1479C23—82no—
1480C23—82no—
1481C23C22×#4112yes—
1482C23C22×#4112yes—
1483C23C22×#4112yes—
1484C23#58512yes—
1485C23C2611yescharacteristic
1486Q8—216no—
1487Q8—216no—
1488Q8—44no—
1489Q8—88no—
1490D4—48no—
1491D4—48no—
1492D4—44no—
1493D4—84no—
1494C2×C4—21no—
1495C2×C4—24no—
1496C2×C4—24no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—21no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—216no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—24no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—24no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—21no—
1541C2×C4—24no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—24no—
1547C2×C4—24no—
1548C2×C4—24no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—22no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—48no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—48no—
1584C2×C4—84no—
1585C2×C4—84no—
1586C2×C4—84no—
1587C2×C4—82no—
1588C2×C4—84no—
1589C2×C4—82no—
1590C2×C4—84no—
1591C2×C4—82no—
1592C2×C4—84no—
1593C2×C4#529116yes—
1594C2×C4C22×#4114yes—
1595C2×C4C22×#4114yes—
1596C2×C4C22×#4114yes—
1597C2×C4C22×#4114yes—
1598C2×C4C22×#4118yes—
1599C2×C4C22×#4112yes—
1600C2×C4C22×#4112yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C22×#4112yes—
1605C2×C4#58512yes—
1606C22—22no—
1607C22—22no—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—22no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—42no—
1628C22—41no—
1629C22—41no—
1630C22—42no—
1631C22—41no—
1632C22—42no—
1633C22—88no—
1634C22C2×#52914yes—
1635C22C23×#4111yescharacteristic
1636C22C23×#4111yescharacteristic
1637C22C23×#4111yescharacteristic
1638C22C2×#58511yescharacteristic
1639C22C2×#58511yescharacteristic
1640C222−1+611yescharacteristic
1641C222−1+611yescharacteristic
1642C4—24no—
1643C4—22no—
1644C4—24no—
1645C4—24no—
1646C4—24no—
1647C4—28no—
1648C4—42no—
1649C4—42no—
1650C4—41no—
1651C4—41no—
1652C4—42no—
1653C4—42no—
1654C4—41no—
1655C4—44no—
1656C4—41no—
1657C4—44no—
1658C4—41no—
1659C4—42no—
1660C4—41no—
1661C4—42no—
1662C4—41no—
1663C4—42no—
1664C4—44no—
1665C4—42no—
1666C4—42no—
1667C4—42no—
1668C4—41no—
1669C4—41no—
1670C4—42no—
1671C4C2×#52914yes—
1672C4C2×#52914yes—
1673C2—24no—
1674C2—42no—
1675C2—82no—
1676C2—81no—
1677C2C22×#52911yescharacteristic
1678C2#6281011yescharacteristic
1679C2#6286111yescharacteristic
1680C2#6299311yescharacteristic
1681C2#6300511yescharacteristic
1682C2#6300511yescharacteristic
1683C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36589C2semidirect
2. #36490C2semidirect
3. #36408C2semidirect
4. #36342C2semidirect
5. #36311C2semidirect
6. #36308C2semidirect
7. #36068C2semidirect
8. #36058C2semidirect
9. #35977C2semidirect
10. #35901C2semidirect
11. #35886C2semidirect
12. #35880C2semidirect
13. #35668C2semidirect
15. #35657C2semidirect
16. #35657C2semidirect
17. #35655C2semidirect
18. #35627C2semidirect
19. #35604C2semidirect
21. #35267C2semidirect
22. #35185C2semidirect
23. #35183C2semidirect
24. #35182C2semidirect
25. #34945C2semidirect
26. #34898C2semidirect
27. #34814C2semidirect
28. C2×#2421C2semidirect
29. #34272C2semidirect
30. #34268C2semidirect
31. #34203C2semidirect
32. #34189C2semidirect
33. #34180C2semidirect
35. C4×#519C2semidirect
45. #2866C22semidirect
47. #2864C22semidirect
48. #2863C22semidirect
50. #2860C22semidirect
52. #2655C22semidirect
55. #2650C22semidirect
56. #2645C22semidirect
57. #2644C22semidirect
61. #2596C22semidirect
62. #2596C22semidirect
66. #2589C22semidirect
67. #2588C22semidirect
69. #2587C22semidirect
70. #2585C22semidirect
72. #2575C22semidirect
74. #2573C22semidirect
75. #2571C22semidirect
76. #2571C22semidirect
77. #2570C22semidirect
78. #2570C22semidirect
79. #2568C22semidirect
80. #2567C22semidirect
81. #2565C22semidirect
82. #2565C22semidirect
91. #2533C22semidirect
92. #2533C22semidirect
93. #2533C22semidirect
94. #2533C22semidirect
99. #2529C22semidirect
100. #2529C22semidirect
101. #2528C22semidirect
102. #2527C22semidirect
106. #2525C22semidirect
107. #2524C22semidirect
108. #2524C22semidirect
110. #2520C22semidirect
113. #2515C22semidirect
114. #2514C22semidirect
117. #2509C22semidirect
118. #2509C22semidirect
119. #2509C22semidirect
120. #2508C22semidirect
121. #2508C22semidirect
126. #2497C22semidirect
129. #2496C22semidirect
132. #2495C22semidirect
135. #2494C22semidirect
150. #2469C22semidirect
152. #2453C22semidirect
153. #2453C22semidirect
154. #2451C22semidirect
155. #2451C22semidirect
156. #2448C22semidirect
157. #2448C22semidirect
159. #2446C22semidirect
160. #2446C22semidirect
167. #2423C22semidirect
168. #2423C22semidirect
177. #2421C22semidirect
178. #2421C22semidirect
181. #2402C22semidirect
185. #2401C22semidirect
189. #2370C22semidirect
190. #2370C22semidirect
191. #2369C22semidirect
193. #2367C22semidirect
194. #2367C22semidirect
195. #2365C22semidirect
196. #2365C22semidirect
197. #2365C22semidirect
217. #2357C22semidirect
218. #2357C22semidirect
219. #2356C22semidirect
220. #2356C22semidirect
231. #2331C22semidirect
232. #2330C22semidirect
235. #2323C22semidirect
236. #2323C22semidirect
243. #2314C22semidirect
244. #2314C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×#125C22semidirect
253. C4×#126C22semidirect
257. C4×C22⋊Q8C22semidirect
258. C4×C22⋊Q8C22semidirect
264. #2295C22semidirect
275. #2283C22semidirect
276. #2283C22semidirect
281. #2276C22semidirect
282. #2276C22semidirect
283. #2276C22semidirect
284. #2276C22semidirect
290. C42×Q8C22semidirect
291. C42×Q8C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#365892
#364902
#364082
#363422
#363112
#363082
#360682
#360582
#359772
#359012
#358862
#358802
#356682
#356612
#356572
#356552
#356272
#356042
#355422
#352672
#351852
#351832
#351822
#349452
#348982
#348142
C2×#24212
#342722
#342682
#342032
#341892
#341802
#341362
C4×#5192