Finite Group Databasebeta

← #7632793

Subgroups — #7632793

Order 512.

5348 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36506C212yesmaximal, complemented
2#36461C212yesmaximal, complemented
3#36256C212yesmaximal, complemented
4#36249C214yesmaximal, complemented
5#36118C212yesmaximal, complemented
6#36112C214yesmaximal, complemented
7#36073C212yesmaximal, complemented
8#36006C212yesmaximal, complemented
9#35965C214yesmaximal, complemented
10#35861C214yesmaximal, complemented
11#35726C212yesmaximal, complemented
12#35725C212yesmaximal, complemented
13#35594C212yesmaximal, complemented
14#35587C212yesmaximal, complemented
15#35575C211yesmaximal, characteristic, complemented
16#35564C211yesmaximal, characteristic
17#35559C212yesmaximal, complemented
18#35557C211yesmaximal, characteristic, complemented
19#35547C212yesmaximal, complemented
20#35545C211yesmaximal, characteristic, complemented
21#35255C211yesmaximal, characteristic, complemented
22#35203C212yesmaximal, complemented
23#35194C212yesmaximal, complemented
24#35158C211yesmaximal, characteristic, complemented
25#34975C212yesmaximal, complemented
26#34914C212yesmaximal, complemented
27C2×#2506C211yesmaximal, characteristic, complemented
28#34744C211yesmaximal, characteristic, complemented
29#34272C211yesmaximal, characteristic, complemented
30#34267C211yesmaximal, characteristic, complemented
31#34267C211yesmaximal, characteristic, complemented
32#34253C211yesmaximal, characteristic, complemented
33#34207C211yesmaximal, characteristic, complemented
34#34121C211yesmaximal, characteristic, complemented
35C4×#520C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#532C2211yescharacteristic
40C2×#529C2214yes—
41C22×#125C2212yes—
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47#2865C2214yes—
48#2861C2214yes—
49#2855C2212yes—
50#2854C2212yes—
51#2853C2214yes—
52#2851C2214yes—
53#2850C2214yes—
54#2652C2214yes—
55#2651C2214yes—
56#2650C2214yes—
57#2649C2214yes—
58#2639C2214yes—
59#2625C2212yes—
60#2624C2212yes—
61#2597C2214yes—
62#2596C2214yes—
63#2595C2214yes—
64#2589C2214yes—
65#2585C2214yes—
66#2577C2214yes—
67#2576C2214yes—
68#2575C2214yes—
69#2573C2214yes—
70#2572C2214yes—
71#2564C2214yes—
72#2560C2214yes—
73#2559C2214yes—
74#2558C2214yes—
75#2558C2214yes—
76#2557C2214yes—
77#2554C2214yes—
78#2543C2214yes—
79#2533C2214yes—
80#2533C2214yes—
81#2532C2214yes—
82#2531C2214yes—
83#2530C2214yes—
84#2529C2214yes—
85#2528C2214yes—
86#2526C2214yes—
87#2523C2214yes—
88#2520C2214yes—
89#2519C2214yes—
90#2519C2214yes—
91#2516C2214yes—
92#2516C2214yes—
93#2515C2214yes—
94#2514C2212yes—
95#2513C2212yes—
96#2512C2212yes—
97#2512C2212yes—
98#2512C2212yes—
99#2511C2212yes—
100#2511C2212yes—
101#2511C2212yes—
102#2510C2214yes—
103#2506C2212yes—
104#2506C2212yes—
105#2506C2212yes—
106#2506C2212yes—
107#2506C2212yes—
108#2506C2212yes—
109#2506C2212yes—
110#2506C2212yes—
111#2497C2212yes—
112#2497C2212yes—
113#2497C2212yes—
114#2496C2212yes—
115#2496C2212yes—
116#2496C2212yes—
117#2495C2212yes—
118#2494C2212yes—
119#2493C2214yes—
120#2492C2212yes—
121#2492C2212yes—
122#2491C2212yes—
123#2491C2212yes—
124#2490C2212yes—
125#2490C2214yes—
126#2490C2212yes—
127#2489C2214yes—
128#2489C2212yes—
129#2489C2212yes—
130#2481C2214yes—
131#2481C2214yes—
132#2481C2214yes—
133#2478C2214yes—
134#2475C2214yes—
135#2475C2214yes—
136#2474C2214yes—
137#2469C2214yes—
138#2468C2214yes—
139#2467C2214yes—
140#2460C2214yes—
141#2460C2214yes—
142#2454C2214yes—
143#2454C2212yes—
144#2453C2212yes—
145#2453C2214yes—
146#2452C2212yes—
147#2451C2212yes—
148#2450C2214yes—
149#2448C2211yescharacteristic
150#2448C2211yescharacteristic
151#2447C2211yescharacteristic
152#2447C2211yescharacteristic
153#2446C2211yescharacteristic
154#2446C2211yescharacteristic
155#2445C2211yescharacteristic
156#2445C2211yescharacteristic
157#2444C2214yes—
158#2444C2214yes—
159#2444C2212yes—
160#2444C2212yes—
161#2443C2212yes—
162#2443C2214yes—
163#2443C2212yes—
164#2442C2212yes—
165#2441C2212yes—
166#2440C2212yes—
167#2439C2212yes—
168#2429C2212yes—
169#2428C2212yes—
170#2427C2212yes—
171#2426C2212yes—
172#2423C2212yes—
173#2422C2212yes—
174#2421C2212yes—
175#2420C2212yes—
176#2419C2214yes—
177#2417C2214yes—
178#2417C2212yes—
179#2416C2214yes—
180#2416C2212yes—
181#2415C2212yes—
182#2414C2212yes—
183#2402C2214yes—
184#2401C2214yes—
185#2398C2214yes—
186#2395C2212yes—
187#2395C2212yes—
188C2×#400C2212yes—
189#2392C2214yes—
190C2×#398C2212yes—
191#2370C2212yes—
192#2370C2212yes—
193#2369C2212yes—
194#2368C2214yes—
195#2365C2212yes—
196#2364C2214yes—
197#2364C2214yes—
198#2363C2212yes—
199#2363C2212yes—
200#2362C2212yes—
201#2362C2212yes—
202#2361C2214yes—
203#2361C2214yes—
204#2361C2214yes—
205#2361C2214yes—
206#2361C2212yes—
207#2361C2212yes—
208#2360C2214yes—
209#2360C2212yes—
210#2360C2212yes—
211#2357C2211yescharacteristic
212#2357C2211yescharacteristic
213#2356C2211yescharacteristic
214#2356C2211yescharacteristic
215#2355C2211yescharacteristic
216#2355C2211yescharacteristic
217#2354C2211yescharacteristic
218#2354C2211yescharacteristic
219#2354C2212yes—
220#2354C2212yes—
221#2353C2214yes—
222#2353C2212yes—
223#2353C2212yes—
224#2352C2212yes—
225#2352C2214yes—
226#2352C2212yes—
227D4×C4⋊C4C2212yes—
228D4×C4⋊C4C2212yes—
229#2347C2212yes—
230#2346C2212yes—
231#2345C2212yes—
232#2344C2212yes—
233#2331C2212yes—
234#2330C2212yes—
235#2326C2212yes—
236#2326C2212yes—
237#2324C2212yes—
238#2324C2212yes—
239#2323C2212yes—
240#2323C2212yes—
241#2320C2212yes—
242#2319C2212yes—
243#2317C2211yescharacteristic
244#2316C2211yescharacteristic
245#2311C2211yescharacteristic
246#2311C2211yescharacteristic
247#2311C2211yescharacteristic
248#2311C2211yescharacteristic
249#2311C2211yescharacteristic
250C4×C4⋊Q8C2212yes—
251C4×C4⋊Q8C2212yes—
252C4×#127C2212yes—
253C4×#125C2214yes—
254C4×#125C2212yes—
255C4×#126C2214yes—
256C4×C22⋊Q8C2212yes—
257C4×C22⋊Q8C2212yes—
258C4×#123C2212yes—
259C4×#123C2212yes—
260C4×#121C2212yes—
261C4×#121C2212yes—
262#2298C2212yes—
263#2298C2212yes—
264#2297C2211yescharacteristic
265#2297C2211yescharacteristic
266#2297C2211yescharacteristic
267#2297C2211yescharacteristic
268#2297C2211yescharacteristic
269#2296C2211yescharacteristic
270#2295C2212yes—
271#2293C2212yes—
272C2×#389C2211yescharacteristic
273C2×#389C2211yescharacteristic
274C2×#389C2211yescharacteristic
275C2×#389C2211yescharacteristic
276#2290C2214yes—
277C2×#387C2212yes—
278#2285C2211yescharacteristic
279C2×#384C2211yescharacteristic
280#2283C2212yes—
281#2276C2212yes—
282#2275C2214yes—
283#2275C2212yes—
284#2274C2212yes—
285#2274C2212yes—
286#2274C2211yescharacteristic
287#2274C2211yescharacteristic
288#2274C2211yescharacteristic
289C42×Q8C2212yes—
290C42×D4C2214yes—
291C42×D4C2212yes—
292C4×#117C2212yes—
293C4×#117C2211yescharacteristic
294C4×#117C2211yescharacteristic
295C4×#117C2212yes—
296C2×C4×C4⋊C4C2212yes—
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302#544—28no—
303#537—28no—
304#537—28no—
305#532—28no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×#127C2311yescharacteristic
310#529—416no—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#126C2314yes—
314C2×#125—48no—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2314yes—
320C2×#125C2314yes—
321C2×#124C2311yescharacteristic
322C2×#124C2311yescharacteristic
323C2×#124C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2312yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2314yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2314yes—
341C2×#121C2314yes—
342#520—28no—
343#520—28no—
344#520—28no—
345C4×#41—28no—
346C4×#41—28no—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2314yes—
355C2×C4×D4C2312yes—
356C2×C4×D4C2312yes—
357C2×C4×D4C2314yes—
358C2×C4×D4C2312yes—
359C2×C4×D4C2312yes—
360C2×C4×D4C2312yes—
361C2×C4×D4C2314yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2311yescharacteristic
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2314yes—
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2314yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2314yes—
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2312yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2314yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C22×C4⋊C4C2311yescharacteristic
389C22×C4⋊C4C2311yescharacteristic
390C22×C4⋊C4C2311yescharacteristic
391C22×C4⋊C4C2312yes—
392C22×C4⋊C4C2312yes—
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2311yescharacteristic
403C22×C42C2312yes—
404C22×C42C2311yescharacteristic
405C22×C42C2311yescharacteristic
406C22×C42C2312yes—
407C22×C42C2311yescharacteristic
408C22×C42C2312yes—
409C22×C42C2314yes—
410#401C2314yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#399C2314yes—
429#399C2312yes—
430#399C2314yes—
431#399C2312yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2312yes—
441#398C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2312yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#393C2314yes—
479#393C2314yes—
480#393C2314yes—
481#392C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2314yes—
489#391C2311yescharacteristic
490#391C2311yescharacteristic
491#391C2311yescharacteristic
492#391C2314yes—
493#391C2314yes—
494#391C2314yes—
495#391C2311yescharacteristic
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2311yescharacteristic
499#391C2311yescharacteristic
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2314yes—
506#390C2312yes—
507#390C2312yes—
508#390C2312yes—
509#390C2311yescharacteristic
510#390C2311yescharacteristic
511#390C2311yescharacteristic
512#390C2314yes—
513#390C2314yes—
514#390C2314yes—
515#390C2314yes—
516#390C2311yescharacteristic
517#390C2311yescharacteristic
518#390C2311yescharacteristic
519#390C2311yescharacteristic
520#390C2311yescharacteristic
521#390C2311yescharacteristic
522#390C2311yescharacteristic
523#389C2311yescharacteristic
524#389C2312yes—
525#389C2314yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2314yes—
529#389C2314yes—
530#389C2314yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2314yes—
542#389C2314yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
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#388C2314yes—
584#388C2312yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#387C2312yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2312yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2312yes—
624#387C2312yes—
625#387C2314yes—
626#387C2314yes—
627#387C2312yes—
628#387C2314yes—
629#387C2312yes—
630#387C2314yes—
631#387C2312yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2314yes—
639#387C2312yes—
640#386C2314yes—
641#386C2312yes—
642#386C2314yes—
643#386C2314yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2312yes—
654#386C2312yes—
655#386C2312yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2312yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2312yes—
680#384C2312yes—
681#384C2312yes—
682#384C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#383C2314yes—
688#383C2314yes—
689#383C2312yes—
690#383C2312yes—
691#382C2312yes—
692#382C2314yes—
693#382C2314yes—
694#382C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#381C2312yes—
699#381C2312yes—
700#381C2314yes—
701#381C2312yes—
702#381C2312yes—
703#381C2314yes—
704#380C2312yes—
705#380C2314yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#380C2314yes—
718#380C2314yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2314yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2314yes—
728C4×C4⋊C4C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804#376C2312yes—
805#376C2312yes—
806#376C2314yes—
807#376C2312yes—
808#376C2312yes—
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2311yescharacteristic
813C2×#95C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C43C2314yes—
819C43C2312yes—
820C43C2312yes—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41#4118yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C4⋊Q8—24no—
866C4⋊Q8—28no—
867C4⋊Q8—28no—
868#127—24no—
869#126—48no—
870#126—48no—
871#126—48no—
872#125—28no—
873#125—28no—
874#125—216no—
875#125—48no—
876#125—48no—
877#125—48no—
878#124—24no—
879#124—24no—
880#124—48no—
881#123—28no—
882#123—48no—
883#123—44no—
884C22⋊Q8—28no—
885C22⋊Q8—28no—
886C22⋊Q8—216no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—48no—
890#121—28no—
891#121—28no—
892#121—28no—
893#121—216no—
894#121—28no—
895#121—216no—
896#121—28no—
897#121—28no—
898#121—48no—
899C4×Q8—24no—
900C4×Q8—24no—
901C4×Q8—24no—
902C4×Q8—24no—
903C4×Q8—28no—
904C4×Q8—28no—
905C4×Q8—28no—
906C4×Q8—48no—
907C4×D4—28no—
908C4×D4—24no—
909C4×D4—28no—
910C4×D4—24no—
911C4×D4—216no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—24no—
915C4×D4—24no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—216no—
920C4×D4—216no—
921C4×D4—28no—
922C4×D4—28no—
923C4×D4—48no—
924C4×D4—48no—
925C4×D4—48no—
926C4×D4—48no—
927#117—28no—
928#117—24no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—28no—
933#117—28no—
934#117—28no—
935#117—28no—
936#117—28no—
937#117—44no—
938#117—48no—
939#117#4118yes—
940C2×C4⋊C4—24no—
941C2×C4⋊C4—24no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—28no—
944C2×C4⋊C4—28no—
945C2×C4⋊C4—28no—
946C2×C4⋊C4—24no—
947C2×C4⋊C4—42no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4—44no—
954C2×C4⋊C4#4118yes—
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2414yes—
1023C2×C22⋊C4C2414yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C42—28no—
1070C2×C42—24no—
1071C2×C42—24no—
1072C2×C42—24no—
1073C2×C42—28no—
1074C2×C42—44no—
1075C2×C42—48no—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2412yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2411yescharacteristic
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2411yescharacteristic
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2414yes—
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2512yes—
1193C24C2511yescharacteristic
1194#41—232no—
1195#41—416no—
1196#41—416no—
1197C2×Q8—22no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—28no—
1206C2×Q8—44no—
1207C2×Q8—44no—
1208C2×Q8C2×#4114yes—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—24no—
1212C2×D4—24no—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—28no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—42no—
1232C2×D4—42no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4C2×#4118yes—
1238C2×D4C2×#4114yes—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—24no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—24no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—24no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—42no—
1270C22×C4—41no—
1271C22×C4—42no—
1272C22×C4—41no—
1273C22×C4—42no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—41no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4C2×#4118yes—
1298C22×C4C2×#4118yes—
1299C22×C4C2×#4114yes—
1300C22×C4C2×#4114yes—
1301C22×C4C2×#4114yes—
1302C22×C4C2511yescharacteristic
1303C22×C4C2511yescharacteristic
1304C22×C4C2511yescharacteristic
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2514yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—22no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—28no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—28no—
1357C4⋊C4—28no—
1358C4⋊C4—28no—
1359C4⋊C4—28no—
1360C4⋊C4—28no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—22no—
1364C4⋊C4—28no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—28no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—28no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4C2×#4114yes—
1393C4⋊C4C2×#4118yes—
1394C4⋊C4C2×#4118yes—
1395C4⋊C4C2×#4114yes—
1396C4⋊C4H(5,𝔽2)14yes—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—24no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—28no—
1410C22⋊C4—28no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—42no—
1423C22⋊C4—42no—
1424C22⋊C4—42no—
1425C22⋊C4—42no—
1426C22⋊C4—44no—
1427C22⋊C4—42no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4C2×#4118yes—
1447C42—22no—
1448C42—22no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—22no—
1454C42—24no—
1455C42—22no—
1456C42—22no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—22no—
1463C42—22no—
1464C42—28no—
1465C42—28no—
1466C42—24no—
1467C42—28no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—28no—
1472C42—24no—
1473C42—24no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42—42no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—42no—
1483C42—42no—
1484C42—44no—
1485C42—44no—
1486C42C2×#4118yes—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23C22×#4114yes—
1512C23C22×#4112yes—
1513C23C22×#4112yes—
1514C23C22×#4112yes—
1515C23C2611yescharacteristic
1516Q8—28no—
1517Q8—44no—
1518Q8—44no—
1519Q8—88no—
1520D4—216no—
1521D4—28no—
1522D4—48no—
1523D4—48no—
1524D4—48no—
1525D4—48no—
1526D4—44no—
1527D4—44no—
1528D4—88no—
1529D4—88no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—24no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—22no—
1541C2×C4—22no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—24no—
1546C2×C4—216no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—22no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—24no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—24no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—48no—
1611C2×C4—48no—
1612C2×C4—44no—
1613C2×C4—48no—
1614C2×C4—44no—
1615C2×C4—44no—
1616C2×C4—44no—
1617C2×C4—48no—
1618C2×C4—48no—
1619C2×C4—88no—
1620C2×C4—88no—
1621C2×C4—88no—
1622C2×C4—84no—
1623C2×C4—84no—
1624C2×C4—82no—
1625C2×C4—84no—
1626C2×C4—84no—
1627C2×C4—84no—
1628C2×C4—82no—
1629C2×C4#529116yescomplemented
1630C2×C4C22×#4114yes—
1631C2×C4C22×#4114yes—
1632C2×C4C22×#4114yes—
1633C2×C4C22×#4118yes—
1634C2×C4C22×#4112yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4112yes—
1639C2×C4C22×#4112yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4#58512yes—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—42no—
1654C22—42no—
1655C22—42no—
1656C22—42no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22C2×#52914yes—
1672C22C23×#4111yescharacteristic
1673C22C23×#4111yescharacteristic
1674C22C23×#4111yescharacteristic
1675C22C22×H(5,𝔽2)11yescharacteristic
1676C22C2×#58511yescharacteristic
1677C222−1+611yescharacteristic
1678C222−1+611yescharacteristic
1679C4—28no—
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—24no—
1685C4—24no—
1686C4—24no—
1687C4—42no—
1688C4—42no—
1689C4—42no—
1690C4—41no—
1691C4—42no—
1692C4—41no—
1693C4—44no—
1694C4—41no—
1695C4—42no—
1696C4—41no—
1697C4—41no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—41no—
1702C4—44no—
1703C4—44no—
1704C4—41no—
1705C4—41no—
1706C4—42no—
1707C4—42no—
1708C4C2×#52914yes—
1709C4C2×#52914yes—
1710C2—24no—
1711C2—44no—
1712C2—82no—
1713C2—82no—
1714C2C22×#52911yescharacteristic
1715C2#6280011yescharacteristic
1716C2#6286111yescharacteristic
1717C2#6298411yescharacteristic
1718C2#6298511yescharacteristic
1719C2#6299311yescharacteristic
1720C2#6300711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35564C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36506C2semidirect
2. #36461C2semidirect
3. #36256C2semidirect
4. #36249C2semidirect
5. #36118C2semidirect
6. #36112C2semidirect
7. #36073C2semidirect
8. #36006C2semidirect
9. #35965C2semidirect
10. #35861C2semidirect
11. #35726C2semidirect
12. #35725C2semidirect
13. #35594C2semidirect
14. #35587C2semidirect
15. #35575C2semidirect
17. #35559C2semidirect
18. #35557C2semidirect
19. #35547C2semidirect
20. #35545C2semidirect
21. #35255C2semidirect
22. #35203C2semidirect
23. #35194C2semidirect
24. #35158C2semidirect
25. #34975C2semidirect
26. #34914C2semidirect
27. C2×#2506C2semidirect
28. #34744C2semidirect
29. #34272C2semidirect
30. #34267C2semidirect
31. #34267C2semidirect
32. #34253C2semidirect
33. #34207C2semidirect
34. #34121C2semidirect
35. C4×#520C2semidirect
1629. C2×C4#529semidirect

Maximal subgroups

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

subgroupindex
#365062
#364612
#362562
#362492
#361182
#361122
#360732
#360062
#359652
#358612
#357262
#357252
#355942
#355872
#355752
#355642
#355592
#355572
#355472
#355452
#352552
#352032
#351942
#351582
#349752
#349142
C2×#25062
#347442
#342722
#342672
#342532
#342072
#341212
C4×#5202