Finite Group Databasebeta

← #7880564

Subgroups — #7880564

Order 512.

8086 conjugacy classes of subgroups.

The subgroup lattice has 1967 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3499C211yesmaximal, characteristic, complemented
2C2×#3517C211yesmaximal, characteristic, complemented
3#59413C211yesmaximal, characteristic, complemented
4#59144C211yesmaximal, characteristic, complemented
5#59097C212yesmaximal, complemented
6#59080C211yesmaximal, characteristic, complemented
7#59075C212yesmaximal, complemented
8#51316C214yesmaximal, complemented
9#49558C214yesmaximal, complemented
10#46422C214yesmaximal, complemented
11#45332C212yesmaximal, complemented
12#45091C212yesmaximal, complemented
13#44930C212yesmaximal, complemented
14#44873C212yesmaximal, complemented
15#43108C214yesmaximal, complemented
16#42927C212yesmaximal, complemented
17#42476C212yesmaximal, complemented
18#39889C212yesmaximal, complemented
19#39720C212yesmaximal, complemented
20#39363C211yesmaximal, characteristic, complemented
21#39341C211yesmaximal, characteristic, complemented
22#38956C211yesmaximal, characteristic, complemented
23#38920C211yesmaximal, characteristic, complemented
24#37792C212yesmaximal, complemented
25#37787C212yesmaximal, complemented
26#36410C211yesmaximal, characteristic, complemented
27#36274C211yesmaximal, characteristic, complemented
28#36122C211yesmaximal, characteristic, complemented
29#35757C212yesmaximal, complemented
30#35715C212yesmaximal, complemented
31#35660C212yesmaximal, complemented
32#35574C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34715C211yesmaximal, characteristic, complemented
35#34480C211yesmaximal, characteristic, complemented
36C22×2−1+4C2212yes—
37#3517—216no—
38#3499—216no—
39C2×#557C2211yescharacteristic
40C2×#553C2212yes—
41C2×#553C2214yes—
42C2×#550C2211yescharacteristic
43C2×#550C2212yes—
44C2×#550C2212yes—
45C2×#550C2211yescharacteristic
46C2×D4×Q8C2212yes—
47C2×D4×Q8C2211yescharacteristic
48C2×D4×Q8C2211yescharacteristic
49C2×#548C2212yes—
50C2×#548C2212yes—
51C2×#547C2211yescharacteristic
52C2×#547C2212yes—
53C2×#547C2212yes—
54C2×#547C2214yes—
55C2×#547C2212yes—
56C2×#547C2212yes—
57C2×#547C2211yescharacteristic
58C2×#540C2212yes—
59C2×#540C2214yes—
60C2×#537C2212yes—
61C2×#536C2212yes—
62C2×#536C2214yes—
63C2×#536C2212yes—
64C2×#532C2211yescharacteristic
65C2×#532C2212yes—
66C2×#532C2211yescharacteristic
67C2×#532C2212yes—
68C22×C4⋊Q8C2211yescharacteristic
69C22×C4⋊Q8C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2212yes—
72C2×#520C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75#2858C2211yescharacteristic
76#2857C2211yescharacteristic
77#2856C2211yescharacteristic
78#2855C2212yes—
79#2854C2212yes—
80#2813C2214yes—
81#2718C2214yes—
82#2716C2214yes—
83#2716C2214yes—
84#2713C2214yes—
85#2710C2214yes—
86#2709C2214yes—
87#2708C2214yes—
88#2706C2214yes—
89#2706C2214yes—
90#2705C2214yes—
91#2704C2214yes—
92#2703C2214yes—
93#2703C2214yes—
94#2702C2214yes—
95#2701C2214yes—
96#2701C2214yes—
97#2699C2214yes—
98#2682C2214yes—
99#2682C2214yes—
100#2681C2214yes—
101#2681C2214yes—
102#2681C2214yes—
103#2680C2214yes—
104#2676C2214yes—
105#2676C2214yes—
106#2675C2214yes—
107#2674C2214yes—
108#2674C2214yes—
109#2673C2214yes—
110#2672C2214yes—
111#2672C2214yes—
112#2671C2214yes—
113#2671C2214yes—
114#2630C2214yes—
115#2630C2214yes—
116#2624C2212yes—
117#2620C2212yes—
118#2619C2212yes—
119#2618C2214yes—
120#2615C2214yes—
121#2615C2212yes—
122#2602C2214yes—
123#2582C2211yescharacteristic
124#2579C2214yes—
125#2579C2214yes—
126#2568C2211yescharacteristic
127#2556C2214yes—
128#2555C2214yes—
129#2550C2212yes—
130#2550C2212yes—
131#2548C2211yescharacteristic
132#2546C2211yescharacteristic
133#2546C2212yes—
134#2545C2212yes—
135#2542C2212yes—
136#2541C2211yescharacteristic
137#2541C2212yes—
138#2538C2211yescharacteristic
139#2504C2212yes—
140#2491C2212yes—
141#2491C2212yes—
142#2491C2212yes—
143#2489C2212yes—
144#2488C2214yes—
145#2487C2212yes—
146#2478C2212yes—
147#2477C2214yes—
148#2476C2214yes—
149#2476C2212yes—
150#2474C2212yes—
151#2473C2214yes—
152#2471C2214yes—
153#2470C2212yes—
154#2466C2212yes—
155#2464C2214yes—
156#2464C2214yes—
157#2463C2214yes—
158#2459C2212yes—
159#2459C2214yes—
160#2457C2214yes—
161#2456C2212yes—
162#2455C2214yes—
163#2455C2212yes—
164#2454C2212yes—
165#2453C2211yescharacteristic
166#2452C2212yes—
167#2452C2212yes—
168#2452C2212yes—
169#2452C2212yes—
170#2452C2212yes—
171#2452C2212yes—
172#2451C2212yes—
173#2451C2212yes—
174#2451C2212yes—
175#2451C2211yescharacteristic
176#2450C2214yes—
177#2450C2214yes—
178#2449C2214yes—
179#2447C2211yescharacteristic
180#2446C2212yes—
181#2445C2212yes—
182#2445C2212yes—
183#2445C2212yes—
184#2445C2211yescharacteristic
185#2443C2214yes—
186#2442C2212yes—
187#2441C2211yescharacteristic
188#2440C2214yes—
189#2440C2214yes—
190#2439C2211yescharacteristic
191#2439C2212yes—
192#2439C2214yes—
193#2439C2214yes—
194#2438C2214yes—
195#2436C2212yes—
196#2436C2214yes—
197#2436C2212yes—
198#2436C2212yes—
199#2434C2212yes—
200#2434C2212yes—
201#2432C2212yes—
202#2432C2212yes—
203#2432C2212yes—
204#2432C2211yescharacteristic
205#2431C2212yes—
206#2431C2212yes—
207#2431C2212yes—
208#2431C2212yes—
209#2431C2214yes—
210#2431C2214yes—
211#2431C2211yescharacteristic
212#2430C2214yes—
213#2430C2214yes—
214#2430C2214yes—
215#2430C2214yes—
216#2429C2211yescharacteristic
217#2429C2212yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yes—
221#2427C2212yes—
222#2427C2212yes—
223#2426C2211yescharacteristic
224#2426C2212yes—
225#2425C2214yes—
226#2423C2212yes—
227#2422C2214yes—
228#2422C2211yescharacteristic
229#2420C2211yescharacteristic
230#2417C2212yes—
231#2416C2212yes—
232#2416C2212yes—
233#2416C2212yes—
234#2415C2211yescharacteristic
235#2414C2212yes—
236#2414C2212yes—
237#2414C2211yescharacteristic
238#2409C2212yes—
239#2409C2214yes—
240#2409C2214yes—
241#2409C2214yes—
242#2407C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2212yes—
246#2407C2214yes—
247#2407C2214yes—
248#2407C2214yes—
249#2407C2214yes—
250#2407C2211yescharacteristic
251#2407C2211yescharacteristic
252#2395C2212yes—
253#2392C2212yes—
254#2392C2212yes—
255#2388C2212yes—
256#2388C2214yes—
257#2376C2214yes—
258#2367C2212yes—
259#2367C2212yes—
260#2366C2212yes—
261#2365C2211yescharacteristic
262#2364C2214yes—
263#2363C2212yes—
264#2363C2212yes—
265#2361C2212yes—
266#2361C2212yes—
267#2360C2212yes—
268#2360C2212yes—
269#2354C2211yescharacteristic
270#2349C2212yes—
271D4×C4⋊C4C2211yescharacteristic
272#2345C2212yes—
273#2341C2212yes—
274Q8×C22⋊C4C2212yes—
275Q8×C22⋊C4C2212yes—
276#2339C2212yes—
277#2335C2214yes—
278#2324C2212yes—
279#2323C2212yes—
280#2322C2214yes—
281#2317C2212yes—
282#2316C2212yes—
283#2311C2212yes—
284#2311C2212yes—
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2211yescharacteristic
287C4×#124C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×#123C2212yes—
292C4×#123C2212yes—
293C4×#121C2211yescharacteristic
294#2297C2212yes—
295#2297C2212yes—
296#2296C2212yes—
297C2×#391C2212yes—
298#2293C2211yescharacteristic
299#2293C2211yescharacteristic
300C42×D4C2211yescharacteristic
301C2×2−1+4—216no—
302C2×2−1+4—48no—
303C2×2−1+4—48no—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2314yes—
309C22×#41C2314yes—
310C22×#41C2314yes—
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2312yes—
314C22×#41C2312yes—
315C23×Q8C2312yes—
316C23×Q8C2312yes—
317C23×Q8C2312yes—
318C23×Q8C2314yes—
319#557—28no—
320#553—232no—
321#553—216no—
322#550—216no—
323#550—216no—
324#550—28no—
325#550—28no—
326D4×Q8—28no—
327D4×Q8—216no—
328D4×Q8—28no—
329#548—48no—
330#548—48no—
331#547—216no—
332#547—232no—
333#547—216no—
334#547—216no—
335#547—28no—
336#547—216no—
337#547D4116yescomplemented
338#540—232no—
339#540—216no—
340#537—48no—
341#536—232no—
342#536—216no—
343#536—48no—
344#532—216no—
345#532—28no—
346#532—216no—
347#532—28no—
348C2×C4⋊Q8—28no—
349C2×C4⋊Q8—216no—
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2314yes—
355C2×C4⋊Q8C2314yes—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2312yes—
360C2×C4⋊Q8C2312yes—
361C2×C4⋊Q8C2312yes—
362C2×C4⋊Q8C2311yescharacteristic
363C2×#127C2311yescharacteristic
364C2×#127C2314yes—
365C2×#127C2311yescharacteristic
366C2×#127C2312yes—
367C2×#127C2312yes—
368C2×#127C2312yes—
369#529—216no—
370#529—28no—
371C2×#126C2314yes—
372C2×#126C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2314yes—
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2314yes—
385C2×#124C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2312yes—
400C2×#123C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2312yes—
446C2×#121C2311yescharacteristic
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2312yes—
450#520—216no—
451C4×#41—28no—
452C4×#41—28no—
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2314yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C22×C4⋊C4C2312yes—
501C22×C4⋊C4C2314yes—
502C22×C4⋊C4C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2314yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C42C2312yes—
508C22×C42C2312yes—
509C22×C42C2311yescharacteristic
510C22×C42C2311yescharacteristic
511#400C2314yes—
512#400C2312yes—
513#400C2314yes—
514#400C2314yes—
515#399C2314yes—
516#399C2312yes—
517#399C2314yes—
518#399C2314yes—
519#398C2312yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2312yes—
528#398C2312yes—
529#398C2314yes—
530#397C2312yes—
531#397C2314yes—
532#397C2312yes—
533#397C2312yes—
534#397C2312yes—
535#397C2312yes—
536#397C2314yes—
537#397C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2312yes—
549#396C2312yes—
550#396C2314yes—
551#395C2314yes—
552#395C2312yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2312yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2312yes—
590#393C2314yes—
591#393C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#392C2314yes—
596#392C2312yes—
597#392C2314yes—
598#392C2312yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2312yes—
608#392C2312yes—
609#392C2312yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2312yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2312yes—
623#391C2312yes—
624#391C2314yes—
625#391C2314yes—
626#391C2314yes—
627#391C2314yes—
628#391C2312yes—
629#391C2311yescharacteristic
630#391C2314yes—
631#391C2314yes—
632#391C2312yes—
633#391C2312yes—
634#391C2311yescharacteristic
635#391C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2314yes—
642#390C2314yes—
643#390C2311yescharacteristic
644#390C2312yes—
645#390C2312yes—
646#390C2312yes—
647#390C2312yes—
648#390C2314yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2311yescharacteristic
653#390C2312yes—
654#390C2314yes—
655#390C2311yescharacteristic
656#390C2311yescharacteristic
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2314yes—
661#390C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2314yes—
668#389C2312yes—
669#389C2314yes—
670#389C2312yes—
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2314yes—
676#389C2314yes—
677#389C2311yescharacteristic
678#389C2312yes—
679#389C2312yes—
680#389C2311yescharacteristic
681#389C2311yescharacteristic
682#389C2311yescharacteristic
683#389C2312yes—
684#389C2314yes—
685#389C2311yescharacteristic
686#389C2312yes—
687#389C2312yes—
688#389C2311yescharacteristic
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2312yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#388C2312yes—
713#388C2312yes—
714#388C2312yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#386C2314yes—
759#386C2312yes—
760#386C2312yes—
761#385C2314yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2312yes—
780#385C2314yes—
781#385C2314yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#385C2312yes—
786#385C2312yes—
787#385C2312yes—
788#384C2311yescharacteristic
789#384C2311yescharacteristic
790#384C2314yes—
791#382C2312yes—
792#382C2314yes—
793#382C2311yescharacteristic
794#381C2312yes—
795#381C2314yes—
796#381C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2314yes—
801#380C2314yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2311yescharacteristic
806#380C2312yes—
807#380C2314yes—
808#380C2314yes—
809#380C2312yes—
810#380C2314yes—
811#380C2311yescharacteristic
812#380C2311yescharacteristic
813#380C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C2×#95C2314yes—
849C2×#95C2314yes—
850C43C2311yescharacteristic
8512−1+4—4128no—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—216no—
859C2×#41—28no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—216no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—28no—
867C2×#41—44no—
868C2×#41—48no—
869C2×#41—48no—
870C2×#41—48no—
871C2×#41—44no—
872C2×#41—42no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41—48no—
876C2×#41—48no—
877C2×#41—44no—
878C2×#41—44no—
879C2×#41—48no—
880C2×#41—44no—
881C2×#41—44no—
882C2×#41—44no—
883C2×#41—44no—
884C2×#41C2×D4116yes—
885C22×Q8—28no—
886C22×Q8—28no—
887C22×Q8—28no—
888C22×Q8—28no—
889C22×Q8—216no—
890C22×Q8—28no—
891C22×Q8—28no—
892C22×Q8—44no—
893C22×Q8—44no—
894C22×Q8—48no—
895C22×Q8—48no—
896C22×Q8—44no—
897C22×Q8C2411yescharacteristic
898C22×Q8C2412yes—
899C22×Q8C2414yes—
900C22×Q8C2414yes—
901C22×Q8C2412yes—
902C22×Q8C2414yes—
903C22×Q8C2412yes—
904C22×Q8C2411yescharacteristic
905C22×Q8C2411yescharacteristic
906C22×D4C2411yescharacteristic
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2411yescharacteristic
917C22×D4C2411yescharacteristic
918C22×D4C2411yescharacteristic
919C22×D4C2412yes—
920C22×D4C2414yes—
921C22×D4C2414yes—
922C22×D4C2414yes—
923C22×D4C2412yes—
924C22×D4C2414yes—
925C22×D4C2414yes—
926C22×D4C2414yes—
927C22×D4C2412yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C23×C4C2411yescharacteristic
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2412yes—
938C23×C4C2414yes—
939C23×C4C2414yes—
940C23×C4C2412yes—
941C23×C4C2414yes—
942C23×C4C2414yes—
943C23×C4C2412yes—
944C23×C4C2412yes—
945C23×C4C2411yescharacteristic
946C23×C4C2414yes—
947C23×C4C2414yes—
948C23×C4C2414yes—
949C23×C4C2411yescharacteristic
950C23×C4C2412yes—
951C23×C4C2414yes—
952C23×C4C2414yes—
953C4⋊Q8—28no—
954C4⋊Q8—28no—
955C4⋊Q8—24no—
956C4⋊Q8—28no—
957C4⋊Q8—24no—
958C4⋊Q8—216no—
959C4⋊Q8—28no—
960C4⋊Q8—216no—
961C4⋊Q8—28no—
962C4⋊Q8—28no—
963C4⋊Q8—24no—
964C4⋊Q8—44no—
965C4⋊Q8C2×D418yes—
966#127—24no—
967#127—28no—
968#127—216no—
969#127—28no—
970#127—24no—
971#127—44no—
972#126—216no—
973#126—28no—
974#125—24no—
975#125—216no—
976#125—28no—
977#124—28no—
978#124—28no—
979#124—24no—
980#124—24no—
981#124—28no—
982#124—216no—
983#124—44no—
984#124—44no—
985#124—48no—
986#124—48no—
987#123—216no—
988#123—216no—
989#123—216no—
990#123—216no—
991#123—28no—
992#123—216no—
993#123—216no—
994#123—216no—
995#123—216no—
996#123—44no—
997#123—48no—
998#123—48no—
999#123—48no—
1000#123—44no—
1001#123C2×D4132yes—
1002C22⋊Q8—28no—
1003C22⋊Q8—24no—
1004C22⋊Q8—24no—
1005C22⋊Q8—28no—
1006C22⋊Q8—24no—
1007C22⋊Q8—24no—
1008C22⋊Q8—28no—
1009C22⋊Q8—216no—
1010C22⋊Q8—216no—
1011C22⋊Q8—216no—
1012C22⋊Q8—216no—
1013C22⋊Q8—48no—
1014C22⋊Q8—48no—
1015C22⋊Q8—48no—
1016C22⋊Q8—48no—
1017C22⋊Q8—48no—
1018C22⋊Q8—44no—
1019C22⋊Q8—44no—
1020C22⋊Q8C2×D4116yes—
1021#121—24no—
1022#121—216no—
1023#121—24no—
1024#121—216no—
1025#121—216no—
1026#121—216no—
1027#121—28no—
1028#121—28no—
1029#121—216no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—24no—
1034#121—28no—
1035#121—28no—
1036#121—216no—
1037#121—216no—
1038#121—216no—
1039#121—44no—
1040#121—48no—
1041#121—48no—
1042#121—48no—
1043#121—48no—
1044#121—48no—
1045#121—42no—
1046#121—44no—
1047#121—44no—
1048#121—44no—
1049#121—48no—
1050#121C2×D4116yes—
1051C4×Q8—28no—
1052C4×Q8—24no—
1053C4×Q8—24no—
1054C4×Q8—28no—
1055C4×Q8—24no—
1056C4×Q8—24no—
1057C4×Q8—24no—
1058C4×Q8—44no—
1059C4×Q8—44no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—216no—
1066C4×D4—216no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—24no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—216no—
1079C4×D4—216no—
1080C4×D4—24no—
1081C4×D4—44no—
1082C4×D4—42no—
1083C4×D4—44no—
1084C4×D4—42no—
1085C4×D4—48no—
1086C4×D4—48no—
1087C4×D4C2×D418yes—
1088C4×D4C2×D418yes—
1089#117—28no—
1090#117—24no—
1091#117—24no—
1092#117—216no—
1093#117—28no—
1094#117—28no—
1095#117—44no—
1096#117—44no—
1097#117—44no—
1098C2×C4⋊C4—216no—
1099C2×C4⋊C4—28no—
1100C2×C4⋊C4—216no—
1101C2×C4⋊C4—28no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—44no—
1104C2×C4⋊C4C2×D4116yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C42—28no—
1235C2×C42—28no—
1236C2×C42—24no—
1237C2×C42—24no—
1238C2×C42C2411yescharacteristic
1239C2×C42C2412yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2411yescharacteristic
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2411yescharacteristic
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316C24C2512yes—
1317C24C2514yes—
1318C24C2511yescharacteristic
1319C24C2512yes—
1320C24C2512yes—
1321C24C2511yescharacteristic
1322#41—232no—
1323#41—432no—
1324#41—432no—
1325#41—432no—
1326#41—464no—
1327#41—416no—
1328#41—464no—
1329#41—464no—
1330#41—432no—
1331#41—816no—
1332#41—816no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—28no—
1337C2×Q8—28no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—28no—
1341C2×Q8—24no—
1342C2×Q8—24no—
1343C2×Q8—22no—
1344C2×Q8—22no—
1345C2×Q8—28no—
1346C2×Q8—24no—
1347C2×Q8—28no—
1348C2×Q8—28no—
1349C2×Q8—24no—
1350C2×Q8—24no—
1351C2×Q8—22no—
1352C2×Q8—22no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×Q8—44no—
1356C2×Q8—42no—
1357C2×Q8—432no—
1358C2×Q8—432no—
1359C2×Q8—464no—
1360C2×Q8—432no—
1361C2×Q8C22×D418yes—
1362C2×Q8H(5,𝔽2)14yes—
1363C2×Q82−1+414yescomplemented
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—28no—
1377C2×D4—24no—
1378C2×D4—28no—
1379C2×D4—28no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—42no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—42no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4C22×D414yes—
1437C2×D4C22×D414yes—
1438C2×D4C22×D4116yes—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—28no—
1452C22×C4—28no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—28no—
1459C22×C4—28no—
1460C22×C4—28no—
1461C22×C4—24no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—28no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—28no—
1468C22×C4—22no—
1469C22×C4—28no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—22no—
1477C22×C4—28no—
1478C22×C4—28no—
1479C22×C4—41no—
1480C22×C4—42no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—44no—
1489C22×C4—42no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—41no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—42no—
1496C22×C4—41no—
1497C22×C4—42no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4C22×D418yes—
1502C22×C4C22×D418yes—
1503C22×C4C22×D4116yes—
1504C22×C4H(5,𝔽2)14yes—
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2512yes—
1509C22×C4C2511yescharacteristic
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2514yes—
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2511yescharacteristic
1518C22×C4C2511yescharacteristic
1519C22×C4C2512yes—
1520C22×C4C2514yes—
1521C22×C4C2512yes—
1522C22×C4C2511yescharacteristic
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2512yes—
1526C22×C4C2514yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—22no—
1539C4⋊C4—24no—
1540C4⋊C4—28no—
1541C4⋊C4—28no—
1542C4⋊C4—28no—
1543C4⋊C4—28no—
1544C4⋊C4—24no—
1545C4⋊C4—28no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—22no—
1552C4⋊C4—24no—
1553C4⋊C4—28no—
1554C4⋊C4—22no—
1555C4⋊C4—28no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—22no—
1560C4⋊C4—24no—
1561C4⋊C4—22no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—22no—
1566C4⋊C4—24no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—44no—
1573C4⋊C4—42no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—42no—
1578C4⋊C4—42no—
1579C4⋊C4—41no—
1580C4⋊C4—42no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—42no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—42no—
1589C4⋊C4—44no—
1590C4⋊C4C22×D4116yes—
1591C4⋊C4C22×D418yes—
1592C4⋊C4C22×D418yes—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D414yes—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—22no—
1603C22⋊C4—24no—
1604C22⋊C4—28no—
1605C22⋊C4—24no—
1606C22⋊C4—28no—
1607C22⋊C4—24no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—28no—
1611C22⋊C4—24no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—22no—
1616C22⋊C4—28no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—22no—
1624C22⋊C4—28no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—44no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—41no—
1637C22⋊C4—41no—
1638C22⋊C4—44no—
1639C22⋊C4—41no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—42no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—42no—
1660C22⋊C4C22×D418yes—
1661C22⋊C4C22×D418yes—
1662C22⋊C4C22×D4116yes—
1663C42—22no—
1664C42—22no—
1665C42—24no—
1666C42—22no—
1667C42—24no—
1668C42—22no—
1669C42—22no—
1670C42—24no—
1671C42—24no—
1672C42—22no—
1673C42—24no—
1674C42—24no—
1675C42—28no—
1676C42—24no—
1677C42—22no—
1678C42—24no—
1679C42—22no—
1680C42—22no—
1681C42—22no—
1682C42—24no—
1683C42—41no—
1684C42—44no—
1685C42—41no—
1686C42—44no—
1687C42—44no—
1688C42C22×D414yes—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—21no—
1694C23—22no—
1695C23—21no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—21no—
1702C23—21no—
1703C23—22no—
1704C23—21no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—24no—
1710C23—24no—
1711C23—21no—
1712C23—21no—
1713C23—24no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—24no—
1718C23—21no—
1719C23—21no—
1720C23—24no—
1721C23—22no—
1722C23—21no—
1723C23—24no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—21no—
1728C23C23×D414yes—
1729C23C23×D414yes—
1730C23C2×H(5,𝔽2)12yes—
1731C23C2611yescharacteristic
1732Q8—28no—
1733Q8—216no—
1734Q8—28no—
1735Q8—48no—
1736Q8—416no—
1737Q8—416no—
1738Q8—416no—
1739Q8—48no—
1740Q8—44no—
1741D4—216no—
1742D4—28no—
1743D4—28no—
1744D4—416no—
1745D4—48no—
1746D4—416no—
1747D4—48no—
1748D4—48no—
1749D4—48no—
1750D4—48no—
1751D4—44no—
1752D4—416no—
1753D4—48no—
1754D4—44no—
1755D4—48no—
1756D4—84no—
1757D4—88no—
1758D4—88no—
1759D4—84no—
1760D4—88no—
1761D4—88no—
1762D4—88no—
1763D4—84no—
1764D4—88no—
1765D4—164no—
1766C2×C4—216no—
1767C2×C4—21no—
1768C2×C4—22no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—24no—
1772C2×C4—24no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—216no—
1784C2×C4—28no—
1785C2×C4—216no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—21no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—24no—
1809C2×C4—21no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—24no—
1826C2×C4—24no—
1827C2×C4—22no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—416no—
1844C2×C4—44no—
1845C2×C4—416no—
1846C2×C4—416no—
1847C2×C4—48no—
1848C2×C4—416no—
1849C2×C4—416no—
1850C2×C4—48no—
1851C2×C4—416no—
1852C2×C4—48no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—82no—
1857C2×C4—88no—
1858C2×C4—88no—
1859C2×C4—84no—
1860C2×C4—164no—
1861C2×C4C23×D412yes—
1862C2×C4C23×D414yes—
1863C2×C4C23×D414yes—
1864C2×C4C23×D418yes—
1865C2×C4C23×D412yes—
1866C2×C4C23×D412yes—
1867C2×C4C2×H(5,𝔽2)14yes—
1868C2×C4C2×H(5,𝔽2)12yes—
1869C2×C4C2×H(5,𝔽2)12yes—
1870C2×C4C2×H(5,𝔽2)12yes—
1871C2×C4C2×2−1+414yes—
1872C2×C4C2×2−1+412yes—
1873C2×C4#58512yes—
1874C2×C4#58512yes—
1875C22—24no—
1876C22—24no—
1877C22—24no—
1878C22—22no—
1879C22—24no—
1880C22—24no—
1881C22—24no—
1882C22—22no—
1883C22—22no—
1884C22—41no—
1885C22—42no—
1886C22—41no—
1887C22—42no—
1888C22—41no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—42no—
1895C22—42no—
1896C22—41no—
1897C22—42no—
1898C22—44no—
1899C22—42no—
1900C22—41no—
1901C22—44no—
1902C22—44no—
1903C22—41no—
1904C22—42no—
1905C22—44no—
1906C22—41no—
1907C22—42no—
1908C22—41no—
1909C22—44no—
1910C22—42no—
1911C22—42no—
1912C22—41no—
1913C22—44no—
1914C22—41no—
1915C22—44no—
1916C22—42no—
1917C22C24×D411yescharacteristic
1918C22C22×H(5,𝔽2)11yescharacteristic
1919C22C22×H(5,𝔽2)11yescharacteristic
1920C22C22×2−1+411yescharacteristic
1921C22C2×#58511yescharacteristic
1922C22C2×#58511yescharacteristic
1923C222−1+611yescharacteristic
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—24no—
1928C4—24no—
1929C4—28no—
1930C4—24no—
1931C4—24no—
1932C4—42no—
1933C4—41no—
1934C4—42no—
1935C4—42no—
1936C4—42no—
1937C4—44no—
1938C4—41no—
1939C4—42no—
1940C4—42no—
1941C4—41no—
1942C4—41no—
1943C4—41no—
1944C4—42no—
1945C4—44no—
1946C4—41no—
1947C4—41no—
1948C4—42no—
1949C4—42no—
1950C4—41no—
1951C4#348414yes—
1952C4#348914yes—
1953C2—44no—
1954C2—44no—
1955C2—42no—
1956C2—81no—
1957C2—82no—
1958C2—84no—
1959C2C2×#348411yescharacteristic
1960C2C2×#348911yescharacteristic
1961C2#6283611yescharacteristic
1962C2#6292211yescharacteristic
1963C2#6294611yescharacteristic
1964C2#6300211yescharacteristic
1965C2#6303911yescharacteristic
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. C2×#3499C2semidirect
2. C2×#3517C2semidirect
3. #59413C2semidirect
4. #59144C2semidirect
5. #59097C2semidirect
6. #59080C2semidirect
7. #59075C2semidirect
8. #51316C2semidirect
9. #49558C2semidirect
10. #46422C2semidirect
11. #45332C2semidirect
12. #45091C2semidirect
13. #44930C2semidirect
14. #44873C2semidirect
15. #43108C2semidirect
16. #42927C2semidirect
17. #42476C2semidirect
18. #39889C2semidirect
19. #39720C2semidirect
20. #39363C2semidirect
21. #39341C2semidirect
22. #38956C2semidirect
23. #38920C2semidirect
24. #37792C2semidirect
25. #37787C2semidirect
26. #36410C2semidirect
27. #36274C2semidirect
28. #36122C2semidirect
29. #35757C2semidirect
30. #35715C2semidirect
31. #35660C2semidirect
32. #35574C2semidirect
33. #34724C2semidirect
34. #34715C2semidirect
35. #34480C2semidirect
337. #547D4semidirect
1363. C2×Q82−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34992
C2×#35172
#594132
#591442
#590972
#590802
#590752
#513162
#495582
#464222
#453322
#450912
#449302
#448732
#431082
#429272
#424762
#398892
#397202
#393632
#393412
#389562
#389202
#377922
#377872
#364102
#362742
#361222
#357572
#357152
#356602
#355742
#347242
#347152
#344802