Finite Group Databasebeta

← #7878801

Subgroups — #7878801

Order 512.

5153 conjugacy classes of subgroups.

The subgroup lattice has 1725 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59817C211yesmaximal, characteristic, complemented
2#59809C212yesmaximal, complemented
3#59696C212yesmaximal, complemented
4#59654C211yesmaximal, characteristic, complemented
5#59654C211yesmaximal, characteristic, complemented
6#51453C214yesmaximal, complemented
7#48400C214yesmaximal, complemented
8#46793C214yesmaximal, complemented
9#45417C212yesmaximal, complemented
10#45360C212yesmaximal, complemented
11#45040C212yesmaximal, complemented
12#44926C212yesmaximal, complemented
13#44072C214yesmaximal, complemented
14#42867C212yesmaximal, complemented
15#42585C212yesmaximal, complemented
16#40118C212yesmaximal, complemented
17#39661C212yesmaximal, complemented
18#39505C211yesmaximal, characteristic, complemented
19#39192C211yesmaximal, characteristic, complemented
20#39191C211yesmaximal, characteristic, complemented
21#38975C211yesmaximal, characteristic, complemented
22#38262C212yesmaximal, complemented
23#38025C212yesmaximal, complemented
24#36563C211yesmaximal, characteristic, complemented
25#36559C211yesmaximal, characteristic, complemented
26#36464C211yesmaximal, characteristic, complemented
27#35916C212yesmaximal, complemented
28#35771C212yesmaximal, complemented
29#35663C212yesmaximal, complemented
30#35560C212yesmaximal, complemented
31#34934C211yesmaximal, characteristic, complemented
32#34902C211yesmaximal, characteristic, complemented
33#34480C211yesmaximal, characteristic, complemented
34#34334C211yesmaximal, characteristic, complemented
35#34311C211yesmaximal, characteristic, complemented
36C2×#554C2212yes—
37C2×D4×Q8C2211yescharacteristic
38C2×D4×Q8C2211yescharacteristic
39C2×D4×Q8C2212yes—
40C2×#548C2212yes—
41C2×#548C2212yes—
42C2×#547C2211yescharacteristic
43C2×#529C2212yes—
44C2×#519C2212yes—
45#2868C2211yescharacteristic
46#2859C2211yescharacteristic
47#2859C2211yescharacteristic
48#2859C2212yes—
49#2854C2212yes—
50#2832C2214yes—
51#2808C2214yes—
52#2802C2214yes—
53#2795C2214yes—
54#2790C2214yes—
55#2788C2214yes—
56#2784C2214yes—
57#2781C2214yes—
58#2777C2214yes—
59#2775C2214yes—
60#2772C2214yes—
61#2761C2214yes—
62#2759C2214yes—
63#2756C2214yes—
64#2753C2214yes—
65#2731C2214yes—
66#2725C2214yes—
67#2718C2214yes—
68#2715C2214yes—
69#2714C2214yes—
70#2713C2214yes—
71#2712C2214yes—
72#2711C2214yes—
73#2707C2214yes—
74#2704C2214yes—
75#2704C2214yes—
76#2702C2214yes—
77#2700C2214yes—
78#2692C2214yes—
79#2692C2214yes—
80#2683C2214yes—
81#2681C2214yes—
82#2681C2214yes—
83#2672C2214yes—
84#2666C2214yes—
85#2662C2214yes—
86#2653C2214yes—
87#2644C2212yes—
88#2625C2212yes—
89#2624C2212yes—
90#2620C2214yes—
91#2620C2212yes—
92#2602C2214yes—
93#2597C2214yes—
94#2596C2212yes—
95#2595C2214yes—
96#2594C2212yes—
97#2592C2211yescharacteristic
98#2582C2212yes—
99#2581C2211yescharacteristic
100#2573C2214yes—
101#2570C2211yescharacteristic
102#2567C2212yes—
103#2566C2214yes—
104#2563C2212yes—
105#2558C2214yes—
106#2557C2214yes—
107#2556C2214yes—
108#2554C2212yes—
109#2554C2214yes—
110#2554C2212yes—
111#2552C2212yes—
112#2552C2211yescharacteristic
113#2551C2212yes—
114#2550C2212yes—
115#2550C2212yes—
116#2549C2214yes—
117#2548C2211yescharacteristic
118#2545C2214yes—
119#2545C2211yescharacteristic
120#2543C2214yes—
121#2541C2211yescharacteristic
122#2538C2211yescharacteristic
123#2538C2211yescharacteristic
124#2538C2214yes—
125#2538C2211yescharacteristic
126#2538C2211yescharacteristic
127#2538C2212yes—
128#2538C2211yescharacteristic
129#2538C2212yes—
130#2537C2211yescharacteristic
131#2537C2211yescharacteristic
132#2536C2212yes—
133#2536C2212yes—
134#2525C2212yes—
135#2518C2214yes—
136#2514C2211yescharacteristic
137#2513C2212yes—
138#2512C2212yes—
139#2512C2211yescharacteristic
140#2512C2211yescharacteristic
141#2512C2211yescharacteristic
142#2509C2212yes—
143#2507C2212yes—
144#2507C2212yes—
145#2507C2212yes—
146#2507C2212yes—
147#2500C2212yes—
148#2497C2212yes—
149#2497C2212yes—
150#2497C2212yes—
151#2496C2212yes—
152#2495C2212yes—
153#2492C2212yes—
154#2492C2214yes—
155#2491C2212yes—
156#2491C2212yes—
157#2491C2212yes—
158#2491C2212yes—
159#2490C2212yes—
160#2487C2212yes—
161#2486C2212yes—
162#2485C2212yes—
163#2485C2212yes—
164#2478C2214yes—
165#2476C2214yes—
166#2474C2214yes—
167#2470C2214yes—
168#2469C2214yes—
169#2469C2212yes—
170#2466C2214yes—
171#2465C2214yes—
172#2464C2214yes—
173#2462C2214yes—
174#2461C2214yes—
175#2461C2214yes—
176#2460C2214yes—
177#2459C2214yes—
178#2458C2214yes—
179#2452C2214yes—
180#2452C2212yes—
181#2452C2212yes—
182#2452C2212yes—
183#2452C2212yes—
184#2452C2214yes—
185#2451C2212yes—
186#2451C2212yes—
187#2450C2214yes—
188#2450C2214yes—
189#2450C2214yes—
190#2448C2211yescharacteristic
191#2446C2211yescharacteristic
192#2445C2212yes—
193#2445C2211yescharacteristic
194#2445C2211yescharacteristic
195#2440C2212yes—
196#2440C2212yes—
197#2439C2212yes—
198#2429C2212yes—
199#2429C2214yes—
200#2428C2212yes—
201#2428C2212yes—
202#2428C2212yes—
203#2427C2214yes—
204#2426C2212yes—
205#2426C2212yes—
206#2426C2214yes—
207#2425C2214yes—
208#2425C2214yes—
209#2422C2212yes—
210#2417C2212yes—
211#2416C2212yes—
212#2415C2212yes—
213#2415C2214yes—
214#2414C2212yes—
215#2414C2214yes—
216#2409C2212yes—
217#2409C2212yes—
218#2409C2212yes—
219#2409C2212yes—
220#2407C2212yes—
221#2407C2212yes—
222#2401C2212yes—
223#2396C2212yes—
224#2392C2214yes—
225#2392C2212yes—
226#2392C2212yes—
227#2376C2214yes—
228#2369C2212yes—
229#2369C2212yes—
230#2368C2214yes—
231#2366C2212yes—
232#2365C2211yescharacteristic
233#2365C2212yes—
234#2364C2214yes—
235#2363C2212yes—
236#2363C2212yes—
237#2362C2214yes—
238#2362C2212yes—
239#2361C2212yes—
240#2361C2212yes—
241#2360C2212yes—
242#2360C2212yes—
243#2355C2211yescharacteristic
244#2355C2212yes—
245#2354C2211yescharacteristic
246#2354C2212yes—
247#2354C2211yescharacteristic
248Q8×C4⋊C4C2211yescharacteristic
249Q8×C4⋊C4C2212yes—
250#2349C2212yes—
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2211yescharacteristic
253D4×C4⋊C4C2212yes—
254#2347C2212yes—
255#2345C2212yes—
256#2341C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yes—
259#2335C2214yes—
260#2334C2214yes—
261#2331C2212yes—
262#2329C2214yes—
263#2324C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2214yes—
267#2323C2212yes—
268#2323C2212yes—
269#2319C2212yes—
270#2316C2212yes—
271#2314C2212yes—
272#2311C2212yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2212yes—
282C4×#126C2212yes—
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×#121C2212yes—
288#2298C2212yes—
289#2295C2211yescharacteristic
290C2×#391C2212yes—
291#2293C2212yes—
292#2293C2211yescharacteristic
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic
295#2275C2212yes—
296C42×Q8C2211yescharacteristic
297C42×Q8C2211yescharacteristic
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301C23×Q8C2312yes—
302#554—48no—
303D4×Q8—28no—
304D4×Q8—28no—
305D4×Q8—48no—
306#548—48no—
307#548—48no—
308#547—28no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2314yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320#529—48no—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#125C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366#519—48no—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2311yescharacteristic
373C2×C4×Q8C2311yescharacteristic
374C2×C4×Q8C2314yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2314yes—
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2314yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2314yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2314yes—
407C2×#117C2314yes—
408C2×#117C2312yes—
409C22×C4⋊C4C2312yes—
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C42C2312yes—
413#401C2312yes—
414#400C2312yes—
415#400C2314yes—
416#400C2312yes—
417#400C2314yes—
418#400C2312yes—
419#400C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#399C2312yes—
424#399C2314yes—
425#398C2312yes—
426#398C2314yes—
427#398C2314yes—
428#398C2312yes—
429#398C2314yes—
430#398C2312yes—
431#398C2314yes—
432#398C2312yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2312yes—
457#396C2312yes—
458#396C2312yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2314yes—
464#396C2312yes—
465#396C2312yes—
466#396C2312yes—
467#396C2312yes—
468#396C2314yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#395C2314yes—
474#395C2314yes—
475#395C2312yes—
476#395C2314yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#394C2312yes—
481#394C2314yes—
482#394C2314yes—
483#394C2312yes—
484#394C2312yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2312yes—
492#394C2314yes—
493#394C2312yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2312yes—
507#393C2314yes—
508#393C2314yes—
509#393C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2312yes—
513#392C2314yes—
514#392C2314yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2311yescharacteristic
519#391C2312yes—
520#391C2314yes—
521#391C2312yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2314yes—
527#391C2314yes—
528#391C2311yescharacteristic
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2314yes—
532#391C2314yes—
533#391C2314yes—
534#391C2311yescharacteristic
535#391C2314yes—
536#390C2314yes—
537#390C2312yes—
538#390C2311yescharacteristic
539#390C2311yescharacteristic
540#390C2311yescharacteristic
541#390C2311yescharacteristic
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2314yes—
558#390C2314yes—
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2311yescharacteristic
564#390C2311yescharacteristic
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#389C2312yes—
571#389C2311yescharacteristic
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2311yescharacteristic
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2314yes—
586#389C2312yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2311yescharacteristic
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2314yes—
616#389C2314yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2312yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2312yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#384C2311yescharacteristic
719#384C2312yes—
720#384C2311yescharacteristic
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2312yes—
727#384C2312yes—
728#384C2314yes—
729#384C2312yes—
730#383C2312yes—
731#383C2314yes—
732#382C2314yes—
733#382C2311yescharacteristic
734#382C2311yescharacteristic
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#381C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2314yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2312yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C2×#41—28no—
820C2×#41—44no—
821C2×#41—44no—
822C22×Q8—28no—
823C22×Q8—28no—
824C22×Q8—28no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2411yescharacteristic
830C22×Q8C2414yes—
831C22×Q8C2412yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2414yes—
834C22×Q8C2414yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2414yes—
853C23×C4C2414yes—
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2414yes—
858C23×C4C2414yes—
859C4⋊Q8—24no—
860C4⋊Q8—28no—
861C4⋊Q8—28no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—48no—
865C4⋊Q8—82no—
866C4⋊Q8#4118yes—
867#127—24no—
868#127—24no—
869#127—42no—
870#126—28no—
871#126—44no—
872#126—44no—
873#126—84no—
874#125—48no—
875#125—44no—
876#125—82no—
877#125—82no—
878#124—24no—
879#124—24no—
880#124—48no—
881#124—44no—
882#124—48no—
883#124—84no—
884#123—216no—
885#123—44no—
886#123—44no—
887#123—84no—
888#123—84no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—28no—
893C22⋊Q8—28no—
894C22⋊Q8—216no—
895C22⋊Q8—216no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—48no—
909#121—44no—
910#121—48no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—84no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—28no—
921C4×Q8—24no—
922C4×Q8—42no—
923C4×Q8—48no—
924C4×Q8—48no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×D4—24no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—24no—
933C4×D4—24no—
934C4×D4—24no—
935C4×D4—24no—
936C4×D4—28no—
937C4×D4—48no—
938C4×D4—48no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—42no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—48no—
949C4×D4—84no—
950#117—28no—
951#117—44no—
952#117—44no—
953#117—48no—
954#117—48no—
955#117—44no—
956#117—44no—
957C2×C4⋊C4—28no—
958C2×C4⋊C4—44no—
959C2×C4⋊C4—44no—
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C42—44no—
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2412yes—
1099C2×C42C2414yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2414yes—
1117C2×C42C2414yes—
1118C2×C42C2414yes—
1119C2×C42C2414yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2414yes—
1123C2×C42C2412yes—
1124C2×C42C2414yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131#95C2412yes—
1132#95C2412yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2411yescharacteristic
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2412yes—
1170#95C2411yescharacteristic
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2512yes—
1196C24C2512yes—
1197#41—816no—
1198C2×Q8—22no—
1199C2×Q8—22no—
1200C2×Q8—28no—
1201C2×Q8—28no—
1202C2×Q8—22no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—28no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—44no—
1211C2×Q8—41no—
1212C2×Q8—44no—
1213C2×Q8—44no—
1214C2×Q8—44no—
1215C2×Q8—44no—
1216C2×Q8—44no—
1217C2×Q8—432no—
1218C2×Q8—816no—
1219C2×Q8C2×#4118yes—
1220C2×Q8H(5,𝔽2)14yes—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D42−1+414yes—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—28no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—28no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—28no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4C2512yes—
1294C22×C4C2511yescharacteristic
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2514yes—
1307C22×C4C2514yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2514yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2512yes—
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2511yescharacteristic
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—28no—
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—24no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—28no—
1334C4⋊C4—28no—
1335C4⋊C4—22no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—22no—
1342C4⋊C4—28no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—28no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—28no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—22no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—44no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4C2×#4118yes—
1396C4⋊C4C2×#4118yes—
1397C4⋊C42−1+414yes—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—28no—
1402C22⋊C4—24no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—28no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
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—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C42—24no—
1458C42—24no—
1459C42—22no—
1460C42—24no—
1461C42—22no—
1462C42—24no—
1463C42—28no—
1464C42—24no—
1465C42—22no—
1466C42—22no—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—22no—
1471C42—22no—
1472C42—24no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—24no—
1477C42—22no—
1478C42—22no—
1479C42—42no—
1480C42—42no—
1481C42—44no—
1482C42—44no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—44no—
1487C42—42no—
1488C42—44no—
1489C42—41no—
1490C42—41no—
1491C42—41no—
1492C42C2×#4114yes—
1493C42H(5,𝔽2)14yes—
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—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23C2×2−1+414yes—
1522C23C2611yescharacteristic
1523Q8—28no—
1524Q8—216no—
1525Q8—44no—
1526Q8—416no—
1527Q8—44no—
1528Q8—88no—
1529Q8—164no—
1530D4—28no—
1531D4—48no—
1532D4—48no—
1533D4—48no—
1534D4—44no—
1535D4—44no—
1536D4—44no—
1537D4—84no—
1538D4—88no—
1539D4—88no—
1540D4—84no—
1541D4—88no—
1542D4—84no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—24no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—21no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—24no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—21no—
1620C2×C4—24no—
1621C2×C4—24no—
1622C2×C4—416no—
1623C2×C4—48no—
1624C2×C4—48no—
1625C2×C4—48no—
1626C2×C4—48no—
1627C2×C4—84no—
1628C2×C4—88no—
1629C2×C4—88no—
1630C2×C4—84no—
1631C2×C4—164no—
1632C2×C4—164no—
1633C2×C4C22×#4112yes—
1634C2×C4C22×#4118yes—
1635C2×C4C22×#4112yes—
1636C2×C4C22×#4112yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×H(5,𝔽2)12yes—
1639C2×C4C2×H(5,𝔽2)14yes—
1640C2×C4C2×H(5,𝔽2)12yes—
1641C2×C4C2×H(5,𝔽2)12yes—
1642C2×C4C2×2−1+412yes—
1643C2×C4C2×2−1+412yes—
1644C2×C4C2×2−1+412yes—
1645C2×C4C2×2−1+412yes—
1646C2×C4#58512yes—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—42no—
1651C22—42no—
1652C22—42no—
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—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22C23×#4111yescharacteristic
1676C22C22×H(5,𝔽2)11yescharacteristic
1677C22C22×H(5,𝔽2)11yescharacteristic
1678C22C22×2−1+411yescharacteristic
1679C22C22×2−1+411yescharacteristic
1680C22C2×#58511yescharacteristic
1681C22H(7,𝔽2)11yescharacteristic
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—24no—
1686C4—28no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—42no—
1691C4—42no—
1692C4—41no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—41no—
1701C4—41no—
1702C4—42no—
1703C4—44no—
1704C4—44no—
1705C4—41no—
1706C4—41no—
1707C4—42no—
1708C4—41no—
1709C4—44no—
1710C4—41no—
1711C4#351614yes—
1712C4#351914yes—
1713C2—44no—
1714C2—82no—
1715C2—82no—
1716C2—82no—
1717C2C2×#351911yescharacteristic
1718C2C2×#351611yescharacteristic
1719C2#6283511yescharacteristic
1720C2#6292311yescharacteristic
1721C2#6294411yescharacteristic
1722C2#6299911yescharacteristic
1723C2#6301611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59817C2semidirect
2. #59809C2semidirect
3. #59696C2semidirect
4. #59654C2semidirect
5. #59654C2semidirect
6. #51453C2semidirect
7. #48400C2semidirect
8. #46793C2semidirect
9. #45417C2semidirect
10. #45360C2semidirect
11. #45040C2semidirect
12. #44926C2semidirect
13. #44072C2semidirect
14. #42867C2semidirect
15. #42585C2semidirect
16. #40118C2semidirect
17. #39661C2semidirect
18. #39505C2semidirect
19. #39192C2semidirect
20. #39191C2semidirect
21. #38975C2semidirect
22. #38262C2semidirect
23. #38025C2semidirect
24. #36563C2semidirect
25. #36559C2semidirect
26. #36464C2semidirect
27. #35916C2semidirect
28. #35771C2semidirect
29. #35663C2semidirect
30. #35560C2semidirect
31. #34934C2semidirect
32. #34902C2semidirect
33. #34480C2semidirect
34. #34334C2semidirect
35. #34311C2semidirect

Maximal subgroups

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

subgroupindex
#598172
#598092
#596962
#596542
#514532
#484002
#467932
#454172
#453602
#450402
#449262
#440722
#428672
#425852
#401182
#396612
#395052
#391922
#391912
#389752
#382622
#380252
#365632
#365592
#364642
#359162
#357712
#356632
#355602
#349342
#349022
#344802
#343342
#343112