Finite Group Databasebeta

← #7681069

Subgroups — #7681069

Order 512.

4794 conjugacy classes of subgroups.

The subgroup lattice has 1657 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59958C214yesmaximal, complemented
2#59954C214yesmaximal, complemented
3#59508C212yesmaximal, complemented
4#59504C212yesmaximal, complemented
5#59503C212yesmaximal, complemented
6#59499C212yesmaximal, complemented
7#45317C212yesmaximal, complemented
8#45055C212yesmaximal, complemented
9#45030C212yesmaximal, complemented
10#45027C212yesmaximal, complemented
11#43243C214yesmaximal, complemented
12#43199C214yesmaximal, complemented
13#39481C212yesmaximal, complemented
14#39475C212yesmaximal, complemented
15#37986C212yesmaximal, complemented
16#37983C212yesmaximal, complemented
17#37981C212yesmaximal, complemented
18#37980C212yesmaximal, complemented
19#36200C212yesmaximal, complemented
20#36193C212yesmaximal, complemented
21#35545C211yesmaximal, characteristic, complemented
22#35543C211yesmaximal, characteristic, complemented
23#35543C211yesmaximal, characteristic, complemented
24#35532C211yesmaximal, characteristic, complemented
25#35257C211yesmaximal, characteristic, complemented
26#35255C211yesmaximal, characteristic
27#35255C211yesmaximal, characteristic
28#34816C211yesmaximal, characteristic, complemented
29C2×#2507C211yesmaximal, characteristic, complemented
30#34272C211yesmaximal, characteristic, complemented
31#34267C211yesmaximal, characteristic
32#34252C211yesmaximal, characteristic, complemented
33#34188C211yesmaximal, characteristic, complemented
34C4⋊C4×#41C211yesmaximal, characteristic, complemented
35#34060C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#520C2211yescharacteristic
39C2×C4×#41C2211yescharacteristic
40C2×C4×#41C2211yescharacteristic
41C2×C4×#41C2211yescharacteristic
42#2857C2212yes—
43#2855C2212yes—
44#2855C2212yes—
45#2854C2212yes—
46#2854C2212yes—
47#2851C2212yes—
48#2794C2214yes—
49#2791C2214yes—
50#2787C2214yes—
51#2774C2214yes—
52#2773C2214yes—
53#2773C2214yes—
54#2773C2214yes—
55#2772C2214yes—
56#2770C2214yes—
57#2769C2214yes—
58#2768C2214yes—
59#2766C2214yes—
60#2766C2214yes—
61#2765C2214yes—
62#2765C2214yes—
63#2745C2214yes—
64#2741C2214yes—
65#2741C2214yes—
66#2738C2214yes—
67#2707C2214yes—
68#2698C2214yes—
69#2695C2214yes—
70#2694C2214yes—
71#2687C2214yes—
72#2629C2212yes—
73#2628C2212yes—
74#2625C2212yes—
75#2625C2212yes—
76#2624C2212yes—
77#2624C2212yes—
78#2611C2214yes—
79#2609C2214yes—
80#2606C2214yes—
81#2601C2214yes—
82#2599C2214yes—
83#2596C2214yes—
84#2577C2214yes—
85#2573C2214yes—
86#2571C2212yes—
87#2571C2212yes—
88#2570C2212yes—
89#2570C2212yes—
90#2570C2212yes—
91#2570C2212yes—
92#2567C2212yes—
93#2566C2212yes—
94#2565C2212yes—
95#2556C2214yes—
96#2552C2212yes—
97#2552C2212yes—
98#2542C2212yes—
99#2536C2214yes—
100#2533C2214yes—
101#2530C2214yes—
102#2529C2214yes—
103#2528C2214yes—
104#2528C2214yes—
105#2525C2214yes—
106#2524C2214yes—
107#2520C2214yes—
108#2520C2214yes—
109#2519C2214yes—
110#2515C2214yes—
111#2515C2214yes—
112#2514C2211yescharacteristic
113#2514C2211yescharacteristic
114#2514C2212yes—
115#2513C2211yescharacteristic
116#2513C2211yescharacteristic
117#2513C2212yes—
118#2512C2211yescharacteristic
119#2512C2211yescharacteristic
120#2512C2212yes—
121#2511C2211yescharacteristic
122#2511C2211yescharacteristic
123#2511C2212yes—
124#2510C2212yes—
125#2510C2212yes—
126#2510C2214yes—
127#2509C2212yes—
128#2509C2212yes—
129#2508C2214yes—
130#2508C2212yes—
131#2508C2212yes—
132#2507C2212yes—
133#2507C2212yes—
134#2507C2212yes—
135#2507C2212yes—
136#2507C2212yes—
137#2507C2212yes—
138#2507C2212yes—
139#2507C2212yes—
140#2507C2212yes—
141#2507C2212yes—
142#2506C2212yes—
143#2506C2212yes—
144#2505C2214yes—
145#2505C2214yes—
146#2499C2214yes—
147#2497C2212yes—
148#2496C2212yes—
149#2495C2212yes—
150#2494C2212yes—
151#2481C2212yes—
152#2481C2212yes—
153#2481C2214yes—
154#2481C2214yes—
155#2479C2214yes—
156#2478C2214yes—
157#2477C2214yes—
158#2473C2214yes—
159#2473C2214yes—
160#2462C2214yes—
161#2454C2212yes—
162#2453C2212yes—
163#2452C2212yes—
164#2451C2212yes—
165#2450C2214yes—
166#2449C2214yes—
167#2449C2214yes—
168#2449C2214yes—
169#2444C2214yes—
170#2444C2214yes—
171#2443C2214yes—
172#2443C2214yes—
173#2442C2214yes—
174#2441C2212yes—
175#2441C2212yes—
176#2440C2212yes—
177#2440C2212yes—
178#2438C2214yes—
179#2438C2214yes—
180#2423C2212yes—
181#2423C2214yes—
182#2423C2212yes—
183#2422C2212yes—
184#2422C2212yes—
185#2421C2212yes—
186#2421C2212yes—
187#2420C2212yes—
188#2420C2212yes—
189#2419C2214yes—
190#2415C2214yes—
191#2413C2214yes—
192#2401C2212yes—
193#2401C2212yes—
194C2×#398C2212yes—
195C2×#398C2212yes—
196#2373C2214yes—
197#2370C2214yes—
198#2370C2212yes—
199#2370C2212yes—
200#2369C2212yes—
201#2368C2214yes—
202#2365C2212yes—
203#2364C2214yes—
204#2363C2212yes—
205#2362C2212yes—
206#2361C2214yes—
207#2361C2212yes—
208#2360C2212yes—
209#2360C2214yes—
210#2359C2214yes—
211#2357C2212yes—
212#2356C2212yes—
213#2355C2212yes—
214#2355C2212yes—
215#2355C2212yes—
216#2354C2212yes—
217#2354C2212yes—
218#2354C2212yes—
219#2352C2214yes—
220#2352C2214yes—
221#2351C2211yescharacteristic
222#2351C2211yescharacteristic
223Q8×C4⋊C4C2211yescharacteristic
224Q8×C4⋊C4C2211yescharacteristic
225#2349C2212yes—
226#2349C2211yescharacteristic
227#2349C2212yes—
228#2349C2211yescharacteristic
229D4×C4⋊C4C2212yes—
230D4×C4⋊C4C2211yescharacteristic
231D4×C4⋊C4C2211yescharacteristic
232D4×C4⋊C4C2212yes—
233#2347C2212yes—
234#2346C2212yes—
235#2345C2212yes—
236#2344C2214yes—
237#2344C2212yes—
238#2331C2212yes—
239#2330C2212yes—
240#2324C2212yes—
241#2323C2212yes—
242#2320C2212yes—
243#2319C2212yes—
244#2318C2214yes—
245#2318C2214yes—
246#2317C2211yescharacteristic
247#2317C2211yescharacteristic
248#2317C2211yescharacteristic
249#2317C2211yescharacteristic
250#2317C2211yescharacteristic
251#2314C2212yes—
252#2314C2212yes—
253#2314C2212yes—
254#2314C2212yes—
255#2311C2211yescharacteristic
256#2311C2211yescharacteristic
257#2311C2211yescharacteristic
258#2311C2211yescharacteristic
259#2311C2211yescharacteristic
260C4×C4⋊Q8C2212yes—
261C4×#125C2212yes—
262C4×#126C2212yes—
263C4×#126C2212yes—
264C4×C22⋊Q8C2212yes—
265C4×#121C2212yes—
266#2297C2211yescharacteristic
267#2297C2211yescharacteristic
268#2297C2211yescharacteristic
269#2296C2211yescharacteristic
270#2296C2212yes—
271#2296C2212yes—
272#2296C2211yescharacteristic
273#2296C2211yescharacteristic
274#2295C2212yes—
275#2293C2212yes—
276C2×#389C2212yes—
277C2×#389C2211yescharacteristic
278C2×#389C2211yescharacteristic
279C2×#389C2211yescharacteristic
280C2×#389C2211yescharacteristic
281#2290C2214yes—
282#2290C2214yes—
283C2×#387C2212yes—
284#2285C2211yescharacteristic
285#2285C2212yes—
286#2285C2212yes—
287#2285C2211yescharacteristic
288#2285C2212yes—
289#2285C2212yes—
290C2×#384C2211yescharacteristic
291#2283C2212yes—
292#2274C2211yescharacteristic
293#2274C2211yescharacteristic
294#2274C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301#544—28no—
302#537—28no—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×#126C2312yes—
306C2×#126C2312yes—
307C2×#126C2314yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2314yes—
311C2×#125C2314yes—
312C2×#123C2314yes—
313C2×#123C2314yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2312yes—
316C2×C22⋊Q8C2314yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2314yes—
320C2×#121C2312yes—
321C2×#121C2312yes—
322C2×#121C2314yes—
323#520—28no—
324C4×#41—28no—
325C4×#41—28no—
326C4×#41—28no—
327C2×C4×Q8C2312yes—
328C2×C4×Q8C2311yescharacteristic
329C2×C4×Q8C2311yescharacteristic
330C2×C4×Q8C2311yescharacteristic
331C2×C4×Q8C2311yescharacteristic
332C2×C4×Q8C2311yescharacteristic
333C2×C4×Q8C2311yescharacteristic
334C2×C4×Q8C2314yes—
335C2×C4×D4C2312yes—
336C2×C4×D4C2312yes—
337C2×C4×D4C2314yes—
338C2×C4×D4C2311yescharacteristic
339C2×C4×D4C2311yescharacteristic
340C2×C4×D4C2312yes—
341C2×C4×D4C2312yes—
342C2×C4×D4C2312yes—
343C2×C4×D4C2311yescharacteristic
344C2×C4×D4C2311yescharacteristic
345C2×C4×D4C2311yescharacteristic
346C2×C4×D4C2312yes—
347C2×C4×D4C2312yes—
348C2×C4×D4C2311yescharacteristic
349C2×C4×D4C2314yes—
350C2×#117C2311yescharacteristic
351C2×#117C2311yescharacteristic
352C2×#117C2311yescharacteristic
353C2×#117C2311yescharacteristic
354C2×#117C2311yescharacteristic
355C2×#117C2312yes—
356C2×#117C2312yes—
357C2×#117C2312yes—
358C2×#117C2312yes—
359C2×#117C2314yes—
360C2×#117C2314yes—
361C2×#117C2314yes—
362C2×#117C2314yes—
363C2×#117C2311yescharacteristic
364C22×C4⋊C4C2311yescharacteristic
365C22×C4⋊C4C2311yescharacteristic
366C22×C4⋊C4C2311yescharacteristic
367C22×C4⋊C4C2311yescharacteristic
368C22×C4⋊C4C2312yes—
369C22×C4⋊C4C2312yes—
370C22×C4⋊C4C2311yescharacteristic
371C22×C4⋊C4C2311yescharacteristic
372C22×C4⋊C4C2312yes—
373C22×C4⋊C4C2312yes—
374C22×C4⋊C4C2312yes—
375C22×C4⋊C4C2312yes—
376C22×C4⋊C4C2312yes—
377C22×C4⋊C4C2312yes—
378C22×C4⋊C4C2312yes—
379C22×C42C2312yes—
380C22×C42C2312yes—
381C22×C42C2312yes—
382C22×C42C2311yescharacteristic
383C22×C42C2311yescharacteristic
384C22×C42C2311yescharacteristic
385C22×C42C2312yes—
386#401C2312yes—
387#401C2312yes—
388#401C2314yes—
389#400C2314yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2312yes—
403#400C2312yes—
404#400C2312yes—
405#400C2312yes—
406#400C2312yes—
407#400C2314yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2312yes—
445#397C2312yes—
446#397C2312yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2312yes—
455#396C2314yes—
456#396C2312yes—
457#396C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#393C2314yes—
466#391C2314yes—
467#391C2311yescharacteristic
468#391C2312yes—
469#391C2312yes—
470#391C2312yes—
471#391C2312yes—
472#391C2312yes—
473#391C2311yescharacteristic
474#391C2311yescharacteristic
475#391C2314yes—
476#391C2314yes—
477#391C2311yescharacteristic
478#391C2314yes—
479#391C2311yescharacteristic
480#391C2311yescharacteristic
481#390C2311yescharacteristic
482#390C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2311yescharacteristic
488#390C2314yes—
489#390C2311yescharacteristic
490#390C2311yescharacteristic
491#390C2311yescharacteristic
492#390C2311yescharacteristic
493#389C2311yescharacteristic
494#389C2312yes—
495#389C2311yescharacteristic
496#389C2314yes—
497#389C2314yes—
498#389C2314yes—
499#389C2312yes—
500#389C2312yes—
501#389C2312yes—
502#389C2312yes—
503#389C2312yes—
504#389C2312yes—
505#389C2312yes—
506#389C2312yes—
507#389C2314yes—
508#389C2314yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2314yes—
516#389C2312yes—
517#389C2314yes—
518#389C2311yescharacteristic
519#389C2312yes—
520#389C2314yes—
521#389C2314yes—
522#389C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2314yes—
528#389C2311yescharacteristic
529#389C2314yes—
530#389C2311yescharacteristic
531#389C2311yescharacteristic
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2312yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2314yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#388C2312yes—
555#388C2312yes—
556#388C2312yes—
557#388C2312yes—
558#388C2312yes—
559#388C2312yes—
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#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#387C2312yes—
584#387C2312yes—
585#387C2312yes—
586#387C2312yes—
587#387C2312yes—
588#387C2312yes—
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#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2312yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#385C2314yes—
648#385C2314yes—
649#385C2314yes—
650#385C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2312yes—
655#385C2312yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2312yes—
660#385C2314yes—
661#385C2314yes—
662#385C2312yes—
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2314yes—
672#385C2312yes—
673#385C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2312yes—
679#384C2311yescharacteristic
680#384C2311yescharacteristic
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2311yescharacteristic
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2311yescharacteristic
689#383C2312yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2312yes—
699#382C2312yes—
700#382C2312yes—
701#382C2311yescharacteristic
702#382C2311yescharacteristic
703#382C2314yes—
704#382C2314yes—
705#382C2314yes—
706#382C2314yes—
707#382C2312yes—
708#382C2312yes—
709#382C2314yes—
710#382C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2314yes—
714#381C2314yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2314yes—
727#380C2312yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2314yes—
737#380C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803#376C2312yes—
804#376C2314yes—
805#376C2314yes—
806C2×#95C2312yes—
807C2×#95C2312yes—
808C2×#95C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2311yescharacteristic
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C43C2312yes—
816C2×#41—24no—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41#4118yes—
822C22×Q8C2411yescharacteristic
823C22×Q8C2411yescharacteristic
824C22×Q8C2414yes—
825C22×D4C2412yes—
826C22×D4C2411yescharacteristic
827C22×D4C2412yes—
828C22×D4C2411yescharacteristic
829C22×D4C2414yes—
830C23×C4C2412yes—
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2414yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852#126—28no—
853#126—44no—
854#126—84no—
855#125—28no—
856#125—28no—
857#125—48no—
858#125—84no—
859#123—48no—
860#123—84no—
861C22⋊Q8—28no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—84no—
865C22⋊Q8—84no—
866C22⋊Q8—84no—
867#121—28no—
868#121—216no—
869#121—28no—
870C4×Q8—24no—
871C4×Q8—24no—
872C4×Q8—24no—
873C4×Q8—24no—
874C4×Q8—24no—
875C4×Q8—24no—
876C4×Q8—28no—
877C4×Q8—84no—
878C4×D4—28no—
879C4×D4—28no—
880C4×D4—24no—
881C4×D4—24no—
882C4×D4—24no—
883C4×D4—28no—
884C4×D4—28no—
885C4×D4—24no—
886C4×D4—24no—
887C4×D4—24no—
888C4×D4—28no—
889C4×D4—28no—
890C4×D4—216no—
891C4×D4—28no—
892C4×D4—84no—
893#117—28no—
894#117—28no—
895#117—24no—
896#117—24no—
897#117—24no—
898#117—24no—
899#117—24no—
900#117—28no—
901#117—28no—
902#117—84no—
903#117—84no—
904#117—84no—
905#117—84no—
906#117#4118yes—
907C2×C4⋊C4—24no—
908C2×C4⋊C4—24no—
909C2×C4⋊C4—24no—
910C2×C4⋊C4—24no—
911C2×C4⋊C4—28no—
912C2×C4⋊C4—28no—
913C2×C4⋊C4—24no—
914C2×C4⋊C4—44no—
915C2×C4⋊C4—42no—
916C2×C4⋊C4—44no—
917C2×C4⋊C4—82no—
918C2×C4⋊C4—82no—
919C2×C4⋊C4—82no—
920C2×C4⋊C4—82no—
921C2×C4⋊C4—82no—
922C2×C4⋊C4C2411yescharacteristic
923C2×C4⋊C4C2412yes—
924C2×C4⋊C4C2412yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2412yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2412yes—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2412yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
958C2×C4⋊C4C2414yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C42—28no—
1041C2×C42—24no—
1042C2×C42—28no—
1043C2×C42—24no—
1044C2×C42—24no—
1045C2×C42—28no—
1046C2×C42—82no—
1047C2×C42C2412yes—
1048C2×C42C2411yescharacteristic
1049C2×C42C2412yes—
1050C2×C42C2411yescharacteristic
1051C2×C42C2411yescharacteristic
1052C2×C42C2414yes—
1053C2×C42C2412yes—
1054C2×C42C2412yes—
1055C2×C42C2412yes—
1056C2×C42C2411yescharacteristic
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2411yescharacteristic
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2412yes—
1064C2×C42C2412yes—
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2412yes—
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2412yes—
1073C2×C42C2414yes—
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2414yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2414yes—
1082C2×C42C2412yes—
1083C2×C42C2412yes—
1084#95C2411yescharacteristic
1085#95C2411yescharacteristic
1086#95C2412yes—
1087#95C2414yes—
1088#95C2411yescharacteristic
1089#95C2412yes—
1090#95C2412yes—
1091#95C2411yescharacteristic
1092#95C2414yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2411yescharacteristic
1097#95C2412yes—
1098#95C2412yes—
1099#95C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2411yescharacteristic
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2412yes—
1113#95C2412yes—
1114#95C2412yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2412yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164C24C2512yes—
1165C24C2512yes—
1166C24C2511yescharacteristic
1167#41—232no—
1168#41—416no—
1169C2×Q8—22no—
1170C2×Q8—22no—
1171C2×Q8—22no—
1172C2×Q8—28no—
1173C2×Q8—22no—
1174C2×Q8—22no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8C2×#4114yes—
1178C2×D4—24no—
1179C2×D4—24no—
1180C2×D4—24no—
1181C2×D4—24no—
1182C2×D4—24no—
1183C2×D4—28no—
1184C2×D4—22no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—44no—
1190C2×D4—44no—
1191C2×D4C2×#4118yes—
1192C2×D4C2×#4114yes—
1193C22×C4—24no—
1194C22×C4—24no—
1195C22×C4—24no—
1196C22×C4—24no—
1197C22×C4—24no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—22no—
1201C22×C4—22no—
1202C22×C4—24no—
1203C22×C4—24no—
1204C22×C4—22no—
1205C22×C4—22no—
1206C22×C4—24no—
1207C22×C4—24no—
1208C22×C4—24no—
1209C22×C4—24no—
1210C22×C4—24no—
1211C22×C4—24no—
1212C22×C4—24no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—24no—
1218C22×C4—24no—
1219C22×C4—22no—
1220C22×C4—24no—
1221C22×C4—24no—
1222C22×C4—28no—
1223C22×C4—41no—
1224C22×C4—42no—
1225C22×C4—42no—
1226C22×C4—41no—
1227C22×C4—42no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—42no—
1231C22×C4—42no—
1232C22×C4—42no—
1233C22×C4—42no—
1234C22×C4—41no—
1235C22×C4—42no—
1236C22×C4—42no—
1237C22×C4—41no—
1238C22×C4—42no—
1239C22×C4—42no—
1240C22×C4—42no—
1241C22×C4—42no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—44no—
1245C22×C4—42no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4C2×#4118yes—
1250C22×C4C2×#4114yes—
1251C22×C4C2×#4114yes—
1252C22×C42−1+414yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2512yes—
1256C22×C4C2511yescharacteristic
1257C22×C4C2512yes—
1258C22×C4C2511yescharacteristic
1259C22×C4C2511yescharacteristic
1260C22×C4C2512yes—
1261C22×C4C2511yescharacteristic
1262C22×C4C2512yes—
1263C22×C4C2514yes—
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2514yes—
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2511yescharacteristic
1280C22×C4C2511yescharacteristic
1281C22×C4C2511yescharacteristic
1282C22×C4C2511yescharacteristic
1283C22×C4C2511yescharacteristic
1284C22×C4C2511yescharacteristic
1285C4⋊C4—24no—
1286C4⋊C4—28no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—24no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—24no—
1294C4⋊C4—24no—
1295C4⋊C4—24no—
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—22no—
1303C4⋊C4—22no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—28no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—22no—
1311C4⋊C4—24no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—24no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—28no—
1324C4⋊C4—24no—
1325C4⋊C4—22no—
1326C4⋊C4—24no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—42no—
1330C4⋊C4—44no—
1331C4⋊C4—41no—
1332C4⋊C4—44no—
1333C4⋊C4—44no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—42no—
1349C4⋊C4—44no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—42no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4C2×#4114yes—
1364C4⋊C4C2×#4114yes—
1365C4⋊C42−1+414yes—
1366C22⋊C4—24no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—28no—
1379C22⋊C4—28no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—42no—
1385C22⋊C4—44no—
1386C22⋊C4—44no—
1387C22⋊C4—44no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—44no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4C2×#4118yes—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—24no—
1407C42—22no—
1408C42—22no—
1409C42—24no—
1410C42—22no—
1411C42—24no—
1412C42—24no—
1413C42—24no—
1414C42—24no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—24no—
1421C42—22no—
1422C42—22no—
1423C42—28no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—44no—
1429C42—44no—
1430C42—42no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—42no—
1437C42—44no—
1438C42—42no—
1439C42C2×#4118yes—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—22no—
1445C23—22no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—22no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—22no—
1456C23—22no—
1457C23C22×#4114yes—
1458C23C22×#4112yes—
1459C23C22×#4112yes—
1460C23C2×2−1+412yes—
1461C23C2611yescharacteristic
1462Q8—28no—
1463Q8—44no—
1464Q8—88no—
1465D4—216no—
1466D4—28no—
1467D4—48no—
1468D4—44no—
1469D4—88no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—22no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—22no—
1484C2×C4—216no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—22no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—22no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—24no—
1500C2×C4—22no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—24no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—21no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—22no—
1521C2×C4—24no—
1522C2×C4—21no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—21no—
1539C2×C4—22no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—24no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—48no—
1555C2×C4—44no—
1556C2×C4—44no—
1557C2×C4—48no—
1558C2×C4—48no—
1559C2×C4—44no—
1560C2×C4—48no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—48no—
1564C2×C4—88no—
1565C2×C4—84no—
1566C2×C4—82no—
1567C2×C4—84no—
1568C2×C4—84no—
1569C2×C4—82no—
1570C2×C4—84no—
1571C2×C4—84no—
1572C2×C4#552116yes—
1573C2×C4C22×#4114yes—
1574C2×C4C22×#4114yes—
1575C2×C4C22×#4114yes—
1576C2×C4C22×#4112yes—
1577C2×C4C22×#4112yes—
1578C2×C4C22×#4112yes—
1579C2×C4C22×#4112yes—
1580C2×C4C2×2−1+412yes—
1581C2×C4C2×2−1+412yes—
1582C2×C4C2×2−1+412yes—
1583C2×C4C2×2−1+412yes—
1584C2×C4C2×2−1+412yes—
1585C2×C4#58512yes—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—24no—
1593C22—24no—
1594C22—24no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—42no—
1599C22—42no—
1600C22—42no—
1601C22—42no—
1602C22—42no—
1603C22—42no—
1604C22—42no—
1605C22—42no—
1606C22C2×#55214yes—
1607C22C23×#4111yescharacteristic
1608C22C23×#4111yescharacteristic
1609C22C22×2−1+411yescharacteristic
1610C22C22×2−1+411yescharacteristic
1611C22C2×#58511yescharacteristic
1612C22H(7,𝔽2)11yescharacteristic
1613C22H(7,𝔽2)11yescharacteristic
1614C4—22no—
1615C4—22no—
1616C4—22no—
1617C4—22no—
1618C4—24no—
1619C4—24no—
1620C4—24no—
1621C4—41no—
1622C4—42no—
1623C4—41no—
1624C4—42no—
1625C4—42no—
1626C4—41no—
1627C4—41no—
1628C4—42no—
1629C4—41no—
1630C4—44no—
1631C4—42no—
1632C4—41no—
1633C4—41no—
1634C4—44no—
1635C4—41no—
1636C4—44no—
1637C4—42no—
1638C4—42no—
1639C4—42no—
1640C4—44no—
1641C4—42no—
1642C4—42no—
1643C4—42no—
1644C4C2×#55214yes—
1645C4C2×#55214yes—
1646C2—24no—
1647C2—44no—
1648C2—82no—
1649C2C22×#55211yescharacteristic
1650C2#6280511yescharacteristic
1651C2#6285811yescharacteristic
1652C2#6292611yescharacteristic
1653C2#6294311yescharacteristic
1654C2#6300011yescharacteristic
1655C2#6300811yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59958C2semidirect
2. #59954C2semidirect
3. #59508C2semidirect
4. #59504C2semidirect
5. #59503C2semidirect
6. #59499C2semidirect
7. #45317C2semidirect
8. #45055C2semidirect
9. #45030C2semidirect
10. #45027C2semidirect
11. #43243C2semidirect
12. #43199C2semidirect
13. #39481C2semidirect
14. #39475C2semidirect
15. #37986C2semidirect
16. #37983C2semidirect
17. #37981C2semidirect
18. #37980C2semidirect
19. #36200C2semidirect
20. #36193C2semidirect
21. #35545C2semidirect
22. #35543C2semidirect
23. #35543C2semidirect
24. #35532C2semidirect
25. #35257C2semidirect
28. #34816C2semidirect
29. C2×#2507C2semidirect
30. #34272C2semidirect
32. #34252C2semidirect
33. #34188C2semidirect
34. C4⋊C4×#41C2semidirect
35. #34060C2semidirect

Maximal subgroups

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

subgroupindex
#599582
#599542
#595082
#595042
#595032
#594992
#453172
#450552
#450302
#450272
#432432
#431992
#394812
#394752
#379862
#379832
#379812
#379802
#362002
#361932
#355452
#355432
#355322
#352572
#352552
#348162
C2×#25072
#342722
#342672
#342522
#341882
C4⋊C4×#412
#340602