Finite Group Databasebeta

← #7732605

Subgroups — #7732605

Order 512.

7075 conjugacy classes of subgroups.

The subgroup lattice has 1979 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#51320C214yesmaximal, complemented
4#50638C214yesmaximal, complemented
5#47458C214yesmaximal, complemented
6#46376C214yesmaximal, complemented
7#45175C212yesmaximal, complemented
8#45091C212yesmaximal, complemented
9#44891C212yesmaximal, complemented
10#44884C212yesmaximal, complemented
11#39725C211yesmaximal, characteristic, complemented
12#39599C211yesmaximal, characteristic, complemented
13#38920C211yesmaximal, characteristic, complemented
14#38914C212yesmaximal, complemented
15#38909C212yesmaximal, complemented
16#38909C211yesmaximal, characteristic, complemented
17#38042C212yesmaximal, complemented
18#38033C212yesmaximal, complemented
19#37774C212yesmaximal, complemented
20#37758C212yesmaximal, complemented
21#37699C212yesmaximal, complemented
22#37680C212yesmaximal, complemented
23#37619C211yesmaximal, characteristic, complemented
24#37276C212yesmaximal, complemented
25#37274C212yesmaximal, complemented
26#36576C211yesmaximal, characteristic, complemented
27#36545C211yesmaximal, characteristic, complemented
28#36410C211yesmaximal, characteristic, complemented
29#36259C211yesmaximal, characteristic, complemented
30#35520C212yesmaximal, complemented
31#35519C212yesmaximal, complemented
32#35280C211yesmaximal, characteristic, complemented
33#35273C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34384C211yesmaximal, characteristic, complemented
36#3517—216no—
37C2×#557C2211yescharacteristic
38C2×#553C2212yes—
39C2×#553C2214yes—
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2212yes—
43C2×#550C2212yes—
44C2×#548C2212yes—
45C2×#547C2211yescharacteristic
46C2×#547C2212yes—
47C2×#547C2212yes—
48#3461—216no—
49C2×#544C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#542C2211yescharacteristic
52C2×#542C2212yes—
53C2×#541C2211yescharacteristic
54C2×#541C2212yes—
55C2×#541C2211yescharacteristic
56C2×#540C2214yes—
57C2×#540C2212yes—
58C2×#539C2212yes—
59C2×#539C2212yes—
60C2×#537C2211yescharacteristic
61C2×#537C2212yes—
62C2×#536C2211yescharacteristic
63C2×#536C2211yescharacteristic
64C2×#533C2211yescharacteristic
65C2×#533C2212yes—
66C2×#533C2211yescharacteristic
67C2×#532C2212yes—
68C2×#532C2211yescharacteristic
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2212yes—
72C2×#529C2212yes—
73C2×#529C2212yes—
74C2×#529C2211yescharacteristic
75C2×#520C2212yes—
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic
79C22×C4×Q8C2211yescharacteristic
80#2857C2211yescharacteristic
81#2857C2212yes—
82#2857C2212yes—
83#2857C2211yescharacteristic
84#2856C2211yescharacteristic
85#2856C2211yescharacteristic
86#2856C2212yes—
87#2854C2212yes—
88#2854C2212yes—
89#2851C2212yes—
90#2816C2214yes—
91#2727C2214yes—
92#2726C2214yes—
93#2725C2214yes—
94#2723C2214yes—
95#2721C2214yes—
96#2718C2214yes—
97#2711C2214yes—
98#2709C2214yes—
99#2707C2214yes—
100#2706C2214yes—
101#2705C2214yes—
102#2704C2214yes—
103#2703C2214yes—
104#2695C2214yes—
105#2694C2214yes—
106#2694C2214yes—
107#2691C2214yes—
108#2691C2214yes—
109#2691C2214yes—
110#2691C2214yes—
111#2686C2214yes—
112#2682C2214yes—
113#2681C2214yes—
114#2681C2214yes—
115#2681C2214yes—
116#2676C2214yes—
117#2676C2214yes—
118#2675C2214yes—
119#2674C2214yes—
120#2674C2214yes—
121#2673C2214yes—
122#2672C2214yes—
123#2672C2214yes—
124#2672C2214yes—
125#2672C2214yes—
126#2671C2214yes—
127#2671C2214yes—
128#2671C2214yes—
129#2671C2214yes—
130#2671C2214yes—
131#2658C2212yes—
132#2640C2212yes—
133#2633C2214yes—
134#2629C2214yes—
135#2629C2212yes—
136#2624C2212yes—
137#2624C2212yes—
138#2624C2212yes—
139#2624C2212yes—
140#2620C2212yes—
141#2620C2212yes—
142#2619C2212yes—
143#2600C2212yes—
144#2600C2212yes—
145#2599C2212yes—
146#2598C2212yes—
147#2584C2212yes—
148#2584C2212yes—
149#2582C2211yescharacteristic
150#2582C2212yes—
151#2582C2212yes—
152#2582C2211yescharacteristic
153#2581C2211yescharacteristic
154#2581C2212yes—
155#2580C2212yes—
156#2580C2211yescharacteristic
157#2580C2212yes—
158#2580C2212yes—
159#2559C2214yes—
160#2555C2214yes—
161#2553C2214yes—
162#2548C2211yescharacteristic
163#2548C2212yes—
164#2548C2212yes—
165#2548C2211yescharacteristic
166#2546C2211yescharacteristic
167#2546C2212yes—
168#2546C2211yescharacteristic
169#2544C2212yes—
170#2544C2214yes—
171#2542C2212yes—
172#2540C2212yes—
173#2538C2211yescharacteristic
174#2538C2211yescharacteristic
175#2538C2212yes—
176#2538C2212yes—
177#2538C2212yes—
178#2538C2212yes—
179#2537C2212yes—
180#2537C2212yes—
181#2536C2211yescharacteristic
182#2535C2211yescharacteristic
183#2491C2212yes—
184#2489C2212yes—
185#2487C2212yes—
186#2486C2212yes—
187#2485C2211yescharacteristic
188#2485C2211yescharacteristic
189#2479C2214yes—
190#2477C2214yes—
191#2476C2214yes—
192#2473C2214yes—
193#2473C2214yes—
194#2468C2214yes—
195#2467C2214yes—
196#2466C2214yes—
197#2464C2214yes—
198#2464C2214yes—
199#2462C2214yes—
200#2460C2214yes—
201#2459C2214yes—
202#2455C2214yes—
203#2455C2214yes—
204#2454C2212yes—
205#2454C2214yes—
206#2451C2212yes—
207#2450C2214yes—
208#2450C2214yes—
209#2449C2214yes—
210#2449C2214yes—
211#2449C2214yes—
212#2446C2212yes—
213#2445C2212yes—
214#2443C2214yes—
215#2442C2214yes—
216#2441C2214yes—
217#2440C2214yes—
218#2439C2214yes—
219#2434C2212yes—
220#2432C2212yes—
221#2432C2212yes—
222#2432C2212yes—
223#2432C2212yes—
224#2431C2212yes—
225#2429C2212yes—
226#2429C2212yes—
227#2429C2212yes—
228#2428C2214yes—
229#2428C2212yes—
230#2427C2212yes—
231#2427C2214yes—
232#2426C2212yes—
233#2426C2214yes—
234#2425C2214yes—
235#2425C2214yes—
236#2425C2214yes—
237#2422C2214yes—
238#2417C2212yes—
239#2417C2214yes—
240#2417C2212yes—
241#2416C2212yes—
242#2416C2212yes—
243#2416C2214yes—
244#2416C2214yes—
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2416C2212yes—
249#2416C2212yes—
250#2415C2212yes—
251#2414C2212yes—
252#2414C2212yes—
253#2413C2214yes—
254#2407C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2211yescharacteristic
258#2407C2211yescharacteristic
259#2407C2212yes—
260#2395C2212yes—
261#2388C2212yes—
262#2383C2214yes—
263#2367C2212yes—
264#2365C2212yes—
265#2363C2212yes—
266#2361C2212yes—
267#2360C2212yes—
268#2360C2212yes—
269#2355C2211yescharacteristic
270#2354C2211yescharacteristic
271#2352C2212yes—
272Q8×C4⋊C4C2211yescharacteristic
273D4×C4⋊C4C2212yes—
274D4×C4⋊C4C2211yescharacteristic
275#2341C2212yes—
276#2339C2212yes—
277#2330C2212yes—
278#2326C2212yes—
279#2324C2212yes—
280#2323C2212yes—
281#2322C2214yes—
282#2317C2212yes—
283#2317C2212yes—
284#2316C2212yes—
285#2314C2212yes—
286#2311C2212yes—
287#2311C2212yes—
288#2311C2212yes—
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2212yes—
292C4×#121C2212yes—
293C4×#121C2211yescharacteristic
294C4×#121C2211yescharacteristic
295#2297C2212yes—
296C2×#389C2212yes—
297#2290C2212yes—
298#2290C2212yes—
299C2×#384C2211yescharacteristic
300#2283C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309#557—28no—
310#553—232no—
311#553—216no—
312#550—216no—
313#550—28no—
314#550—28no—
315#550—216no—
316#548—48no—
317#547—216no—
318#547—28no—
319#547—48no—
320#544—28no—
321#542—28no—
322#542—216no—
323#542—28no—
324#541—216no—
325#541—28no—
326#541—28no—
327#540—232no—
328#540—216no—
329#539—216no—
330#539—216no—
331#537—28no—
332#537—48no—
333#536—28no—
334#536—28no—
335#533—28no—
336#533—216no—
337#533—28no—
338#532—216no—
339#532—28no—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×#127C2311yescharacteristic
351C2×#127C2312yes—
352C2×#127C2314yes—
353C2×#127C2312yes—
354#529—216no—
355#529—216no—
356#529—216no—
357#529—28no—
358#529—216no—
359#529D4116yescomplemented
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2314yes—
368C2×#126C2312yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2314yes—
379C2×#125C2311yescharacteristic
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#124C2312yes—
387C2×#124C2314yes—
388C2×#124C2314yes—
389C2×#124C2311yescharacteristic
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2314yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×#123C2314yes—
404C2×#123C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2311yescharacteristic
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2311yescharacteristic
453C2×#121C2314yes—
454C2×#121C2314yes—
455C2×#121C2314yes—
456C2×#121C2314yes—
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2314yes—
460C2×#121C2314yes—
461C2×#121C2311yescharacteristic
462#520—216no—
463C4×#41—28no—
464C4×#41—28no—
465C4×#41—28no—
466C2×C4×Q8—28no—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2311yescharacteristic
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2311yescharacteristic
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2312yes—
482C2×C4×Q8C2312yes—
483C2×C4×Q8C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2314yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2314yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2314yes—
510C2×C4×D4C2314yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2312yes—
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2311yescharacteristic
520C2×#117C2311yescharacteristic
521C2×#117C2311yescharacteristic
522C2×#117C2312yes—
523C2×#117C2314yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2311yescharacteristic
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2314yes—
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2312yes—
532C22×C4⋊C4C2312yes—
533C22×C4⋊C4C2314yes—
534C22×C4⋊C4C2312yes—
535C22×C42C2312yes—
536C22×C42C2312yes—
537C22×C42C2311yescharacteristic
538C22×C42C2311yescharacteristic
539C22×C42C2312yes—
540C22×C42C2311yescharacteristic
541#400C2312yes—
542#400C2314yes—
543#400C2314yes—
544#399C2314yes—
545#399C2314yes—
546#399C2312yes—
547#399C2314yes—
548#399C2314yes—
549#399C2314yes—
550#399C2314yes—
551#399C2314yes—
552#399C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2312yes—
564#398C2314yes—
565#398C2314yes—
566#398C2314yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#395C2312yes—
590#395C2314yes—
591#395C2314yes—
592#395C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#393C2314yes—
625#393C2314yes—
626#393C2312yes—
627#393C2314yes—
628#392C2312yes—
629#392C2312yes—
630#392C2312yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#391C2311yescharacteristic
638#391C2312yes—
639#391C2312yes—
640#391C2312yes—
641#391C2312yes—
642#391C2311yescharacteristic
643#391C2312yes—
644#391C2312yes—
645#391C2312yes—
646#391C2314yes—
647#391C2314yes—
648#391C2312yes—
649#391C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2314yes—
658#390C2312yes—
659#390C2311yescharacteristic
660#390C2312yes—
661#390C2311yescharacteristic
662#390C2312yes—
663#390C2314yes—
664#390C2312yes—
665#390C2314yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2312yes—
671#390C2314yes—
672#390C2314yes—
673#390C2314yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2314yes—
679#389C2314yes—
680#389C2311yescharacteristic
681#389C2314yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#389C2312yes—
687#389C2314yes—
688#389C2312yes—
689#389C2311yescharacteristic
690#389C2311yescharacteristic
691#389C2312yes—
692#389C2312yes—
693#389C2311yescharacteristic
694#389C2312yes—
695#389C2312yes—
696#389C2314yes—
697#389C2314yes—
698#389C2314yes—
699#389C2314yes—
700#389C2314yes—
701#389C2314yes—
702#389C2312yes—
703#389C2314yes—
704#389C2312yes—
705#389C2312yes—
706#389C2312yes—
707#389C2314yes—
708#389C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2312yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2312yes—
734#387C2312yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2312yes—
741#387C2312yes—
742#387C2312yes—
743#387C2312yes—
744#387C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2314yes—
760#386C2312yes—
761#386C2312yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2312yes—
788#385C2312yes—
789#385C2312yes—
790#385C2312yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#384C2312yes—
796#384C2312yes—
797#384C2314yes—
798#384C2312yes—
799#384C2311yescharacteristic
800#384C2311yescharacteristic
801#384C2312yes—
802#383C2312yes—
803#382C2311yescharacteristic
804#382C2311yescharacteristic
805#382C2312yes—
806#382C2314yes—
807#381C2312yes—
808#381C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2314yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#380C2312yes—
820#380C2311yescharacteristic
821#380C2312yes—
822#380C2311yescharacteristic
823#380C2312yes—
824#380C2312yes—
825#380C2314yes—
826#380C2314yes—
827#380C2312yes—
828#380C2312yes—
829#380C2311yescharacteristic
830#380C2311yescharacteristic
831#380C2311yescharacteristic
832#380C2311yescharacteristic
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2314yes—
841C4×C4⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2312yes—
852#376C2312yes—
853C2×#95C2314yes—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—44no—
868C2×#41—42no—
869C2×#41—44no—
870C2×#41—44no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—44no—
875C22×Q8—24no—
876C22×Q8—24no—
877C22×Q8—42no—
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2411yescharacteristic
885C22×Q8C2412yes—
886C22×Q8C2412yes—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2412yes—
907C22×D4C2414yes—
908C22×D4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2414yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2411yescharacteristic
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—28no—
935C4⋊Q8—28no—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—24no—
939C4⋊Q8—24no—
940C4⋊Q8—44no—
941C4⋊Q8—44no—
942#127—28no—
943#127—216no—
944#127—24no—
945#127—28no—
946#126—28no—
947#126—28no—
948#126—216no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126C2×D4116yes—
955#125—28no—
956#125—28no—
957#125—28no—
958#125—24no—
959#125—28no—
960#125—28no—
961#125—28no—
962#125—216no—
963#125—28no—
964#125—28no—
965#125C2×D418yes—
966#124—24no—
967#124—28no—
968#124—28no—
969#124—28no—
970#124—28no—
971#124—44no—
972#124—44no—
973#124—48no—
974#124—84no—
975#124C2×D418yes—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—216no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—216no—
986#123—216no—
987#123—48no—
988#123—48no—
989#123—84no—
990#123C2×D4116yes—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—24no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—24no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—28no—
1002C22⋊Q8—24no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—48no—
1010C22⋊Q8—48no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8—84no—
1015C22⋊Q8C2×D418yes—
1016#121—28no—
1017#121—24no—
1018#121—28no—
1019#121—216no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—216no—
1027#121—28no—
1028#121—216no—
1029#121—216no—
1030#121—216no—
1031#121—216no—
1032#121—216no—
1033#121—48no—
1034#121—48no—
1035#121—48no—
1036#121—48no—
1037#121—42no—
1038#121—44no—
1039#121—44no—
1040#121—42no—
1041#121—44no—
1042#121—48no—
1043#121—84no—
1044#121—84no—
1045#121—82no—
1046#121—82no—
1047#121C2×D418yes—
1048C4×Q8—24no—
1049C4×Q8—28no—
1050C4×Q8—24no—
1051C4×Q8—24no—
1052C4×Q8—28no—
1053C4×Q8—28no—
1054C4×Q8—24no—
1055C4×Q8—24no—
1056C4×Q8—24no—
1057C4×Q8—24no—
1058C4×Q8—24no—
1059C4×Q8—24no—
1060C4×Q8—28no—
1061C4×Q8—28no—
1062C4×Q8—28no—
1063C4×Q8—44no—
1064C4×Q8C2×D418yes—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—24no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—216no—
1077C4×D4—28no—
1078C4×D4—216no—
1079C4×D4—216no—
1080C4×D4—216no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4—24no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—48no—
1091C4×D4—84no—
1092C4×D4C2×D418yes—
1093C4×D4C2×D4116yes—
1094#117—24no—
1095#117—24no—
1096#117—28no—
1097#117—28no—
1098#117—24no—
1099#117—216no—
1100#117—28no—
1101#117—24no—
1102#117—24no—
1103#117—28no—
1104#117—28no—
1105#117—44no—
1106#117C2×D4116yes—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—24no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—216no—
1111C2×C4⋊C4—44no—
1112C2×C4⋊C4—44no—
1113C2×C4⋊C4—44no—
1114C2×C4⋊C4—48no—
1115C2×C4⋊C4—82no—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2411yescharacteristic
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2411yescharacteristic
1197C2×C22⋊C4C2411yescharacteristic
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2411yescharacteristic
1200C2×C22⋊C4C2411yescharacteristic
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2411yescharacteristic
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C42—28no—
1258C2×C42—24no—
1259C2×C42—28no—
1260C2×C42—28no—
1261C2×C42—24no—
1262C2×C42C2×D418yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2414yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2412yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2412yes—
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24C2511yescharacteristic
1332C24C2512yes—
1333C24C2514yes—
1334C24C2512yes—
1335C24C2511yescharacteristic
1336C24C2511yescharacteristic
1337#41—416no—
1338#41—416no—
1339#41—416no—
1340#41—432no—
1341#41—816no—
1342#41—816no—
1343#41—816no—
1344C2×Q8—22no—
1345C2×Q8—24no—
1346C2×Q8—22no—
1347C2×Q8—22no—
1348C2×Q8—22no—
1349C2×Q8—24no—
1350C2×Q8—24no—
1351C2×Q8—24no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—22no—
1355C2×Q8—24no—
1356C2×Q8—22no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—42no—
1364C2×Q8—41no—
1365C2×Q8—42no—
1366C2×Q8—42no—
1367C2×Q8—42no—
1368C2×Q8—42no—
1369C2×Q8—416no—
1370C2×Q8C22×D414yes—
1371C2×Q82−1+414yes—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—22no—
1378C2×D4—22no—
1379C2×D4—24no—
1380C2×D4—28no—
1381C2×D4—24no—
1382C2×D4—28no—
1383C2×D4—28no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—24no—
1397C2×D4—28no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—41no—
1412C2×D4—42no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—42no—
1421C2×D4—42no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—44no—
1436C2×D4C22×D414yes—
1437C2×D4C22×D418yes—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—28no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—24no—
1456C22×C4—28no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—28no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—28no—
1473C22×C4—28no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—42no—
1477C22×C4—44no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—44no—
1481C22×C4—44no—
1482C22×C4—44no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—42no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—42no—
1490C22×C4—42no—
1491C22×C4—41no—
1492C22×C4—41no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—42no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4C22×D418yes—
1503C22×C4C22×D414yes—
1504C22×C4C22×D414yes—
1505C22×C4C22×D414yes—
1506C22×C4H(5,𝔽2)14yes—
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2514yes—
1512C22×C4C2511yescharacteristic
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2512yes—
1517C22×C4C2514yes—
1518C22×C4C2512yes—
1519C22×C4C2512yes—
1520C22×C4C2512yes—
1521C22×C4C2514yes—
1522C22×C4C2512yes—
1523C22×C4C2511yescharacteristic
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C4⋊C4—24no—
1537C4⋊C4—22no—
1538C4⋊C4—28no—
1539C4⋊C4—28no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—22no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—22no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—22no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—28no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—28no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—28no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—22no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—22no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—42no—
1591C4⋊C4—42no—
1592C4⋊C4—44no—
1593C4⋊C4—42no—
1594C4⋊C4—42no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—42no—
1603C4⋊C4—44no—
1604C4⋊C4—44no—
1605C4⋊C4C22×D418yes—
1606C4⋊C4C22×D414yes—
1607C4⋊C4C22×D418yes—
1608C4⋊C4C22×D418yes—
1609C4⋊C4C22×D414yes—
1610C4⋊C4C22×D418yes—
1611C22⋊C4—24no—
1612C22⋊C4—22no—
1613C22⋊C4—22no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—28no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—22no—
1627C22⋊C4—22no—
1628C22⋊C4—24no—
1629C22⋊C4—22no—
1630C22⋊C4—22no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—28no—
1635C22⋊C4—28no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—42no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—42no—
1652C22⋊C4—44no—
1653C22⋊C4—42no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4C22×D418yes—
1673C22⋊C4C22×D418yes—
1674C22⋊C4C22×D418yes—
1675C22⋊C4C22×D418yes—
1676C22⋊C4C22×D418yes—
1677C42—22no—
1678C42—24no—
1679C42—24no—
1680C42—22no—
1681C42—22no—
1682C42—24no—
1683C42—24no—
1684C42—22no—
1685C42—24no—
1686C42—22no—
1687C42—24no—
1688C42—24no—
1689C42—22no—
1690C42—24no—
1691C42—24no—
1692C42—28no—
1693C42—24no—
1694C42—24no—
1695C42—44no—
1696C42—44no—
1697C42—44no—
1698C42C22×D414yes—
1699C42C22×D414yes—
1700C42C22×D418yes—
1701C42C22×D414yes—
1702C42C22×D414yes—
1703C23—21no—
1704C23—22no—
1705C23—21no—
1706C23—21no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—21no—
1716C23—22no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—22no—
1721C23—21no—
1722C23—22no—
1723C23—24no—
1724C23—22no—
1725C23—24no—
1726C23—21no—
1727C23—21no—
1728C23—22no—
1729C23—24no—
1730C23—21no—
1731C23—24no—
1732C23—24no—
1733C23—22no—
1734C23—22no—
1735C23—21no—
1736C23—22no—
1737C23—24no—
1738C23—21no—
1739C23—24no—
1740C23—22no—
1741C23—21no—
1742C23C23×D412yes—
1743C23C23×D414yes—
1744C23C2×H(5,𝔽2)12yes—
1745C23C2611yescharacteristic
1746Q8—28no—
1747Q8—28no—
1748Q8—48no—
1749Q8—44no—
1750Q8—44no—
1751Q8—44no—
1752Q8—48no—
1753Q8—84no—
1754Q8—84no—
1755D4—28no—
1756D4—48no—
1757D4—44no—
1758D4—44no—
1759D4—416no—
1760D4—48no—
1761D4—44no—
1762D4—48no—
1763D4—48no—
1764D4—44no—
1765D4—48no—
1766D4—84no—
1767D4—88no—
1768D4—88no—
1769D4—88no—
1770D4—84no—
1771D4—84no—
1772D4—88no—
1773D4—88no—
1774D4—88no—
1775D4—84no—
1776D4—164no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—28no—
1796C2×C4—28no—
1797C2×C4—28no—
1798C2×C4—216no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—24no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—24no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—21no—
1853C2×C4—44no—
1854C2×C4—48no—
1855C2×C4—416no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—44no—
1859C2×C4—48no—
1860C2×C4—44no—
1861C2×C4—44no—
1862C2×C4—82no—
1863C2×C4—82no—
1864C2×C4—84no—
1865C2×C4—84no—
1866C2×C4—88no—
1867C2×C4—88no—
1868C2×C4—84no—
1869C2×C4—88no—
1870C2×C4—88no—
1871C2×C4—164no—
1872C2×C4C23×D414yes—
1873C2×C4C23×D412yes—
1874C2×C4C23×D412yes—
1875C2×C4C23×D412yes—
1876C2×C4C23×D414yes—
1877C2×C4C23×D414yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C2×H(5,𝔽2)12yes—
1882C2×C4C2×H(5,𝔽2)12yes—
1883C2×C4C2×2−1+414yes—
1884C2×C4C2×2−1+412yes—
1885C2×C4#58512yes—
1886C2×C4#58512yes—
1887C22—22no—
1888C22—22no—
1889C22—24no—
1890C22—24no—
1891C22—22no—
1892C22—22no—
1893C22—24no—
1894C22—22no—
1895C22—22no—
1896C22—41no—
1897C22—41no—
1898C22—42no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—42no—
1903C22—42no—
1904C22—41no—
1905C22—42no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—42no—
1910C22—44no—
1911C22—42no—
1912C22—44no—
1913C22—41no—
1914C22—42no—
1915C22—41no—
1916C22—44no—
1917C22—42no—
1918C22—44no—
1919C22—41no—
1920C22—41no—
1921C22—44no—
1922C22—42no—
1923C22—44no—
1924C22—42no—
1925C22—41no—
1926C22—41no—
1927C22—42no—
1928C22—44no—
1929C22C24×D411yescharacteristic
1930C22C22×H(5,𝔽2)11yescharacteristic
1931C22C22×2−1+411yescharacteristic
1932C22C2×#58511yescharacteristic
1933C22C2×#58511yescharacteristic
1934C22H(7,𝔽2)11yescharacteristic
1935C222−1+611yescharacteristic
1936C4—22no—
1937C4—22no—
1938C4—24no—
1939C4—24no—
1940C4—22no—
1941C4—24no—
1942C4—22no—
1943C4—22no—
1944C4—24no—
1945C4—42no—
1946C4—41no—
1947C4—42no—
1948C4—42no—
1949C4—44no—
1950C4—41no—
1951C4—41no—
1952C4—41no—
1953C4—42no—
1954C4—42no—
1955C4—41no—
1956C4—42no—
1957C4—42no—
1958C4—42no—
1959C4—42no—
1960C4—44no—
1961C4—44no—
1962C4—42no—
1963C4#348814yes—
1964C4#348914yes—
1965C2—42no—
1966C2—42no—
1967C2—44no—
1968C2—81no—
1969C2—82no—
1970C2—84no—
1971C2C2×#348811yescharacteristic
1972C2C2×#348911yescharacteristic
1973C2#6285311yescharacteristic
1974C2#6294611yescharacteristic
1975C2#6295211yescharacteristic
1976C2#6295511yescharacteristic
1977C2#6296711yescharacteristic
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×#3517C2semidirect
2. C2×#3461C2semidirect
3. #51320C2semidirect
4. #50638C2semidirect
5. #47458C2semidirect
6. #46376C2semidirect
7. #45175C2semidirect
8. #45091C2semidirect
9. #44891C2semidirect
10. #44884C2semidirect
11. #39725C2semidirect
12. #39599C2semidirect
13. #38920C2semidirect
14. #38914C2semidirect
15. #38909C2semidirect
16. #38909C2semidirect
17. #38042C2semidirect
18. #38033C2semidirect
19. #37774C2semidirect
20. #37758C2semidirect
21. #37699C2semidirect
22. #37680C2semidirect
23. #37619C2semidirect
24. #37276C2semidirect
25. #37274C2semidirect
26. #36576C2semidirect
27. #36545C2semidirect
28. #36410C2semidirect
29. #36259C2semidirect
30. #35520C2semidirect
31. #35519C2semidirect
32. #35280C2semidirect
33. #35273C2semidirect
34. #34909C2semidirect
35. #34384C2semidirect
359. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34612
#513202
#506382
#474582
#463762
#451752
#450912
#448912
#448842
#397252
#395992
#389202
#389142
#389092
#380422
#380332
#377742
#377582
#376992
#376802
#376192
#372762
#372742
#365762
#365452
#364102
#362592
#355202
#355192
#352802
#352732
#349092
#343842