Finite Group Databasebeta

← #7720072

Subgroups — #7720072

Order 512.

7125 conjugacy classes of subgroups.

The subgroup lattice has 2013 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#51411C214yesmaximal, complemented
4#51410C214yesmaximal, complemented
5#50886C214yesmaximal, complemented
6#50683C214yesmaximal, complemented
7#45432C212yesmaximal, complemented
8#45422C212yesmaximal, complemented
9#45307C212yesmaximal, complemented
10#45113C212yesmaximal, complemented
11#45103C212yesmaximal, complemented
12#45091C212yesmaximal, complemented
13#45071C212yesmaximal, complemented
14#44885C212yesmaximal, complemented
15#39598C211yesmaximal, characteristic, complemented
16#39596C211yesmaximal, characteristic, complemented
17#38922C211yesmaximal, characteristic, complemented
18#38922C212yesmaximal, complemented
19#38920C211yesmaximal, characteristic, complemented
20#38914C212yesmaximal, complemented
21#37845C212yesmaximal, complemented
22#37836C212yesmaximal, complemented
23#37281C212yesmaximal, complemented
24#37276C212yesmaximal, complemented
25#36492C211yesmaximal, characteristic, complemented
26#36444C211yesmaximal, characteristic, complemented
27#36160C211yesmaximal, characteristic, complemented
28#36153C211yesmaximal, characteristic, complemented
29#35280C211yesmaximal, characteristic, complemented
30#35273C211yesmaximal, characteristic, complemented
31#35261C212yesmaximal, complemented
32#35253C212yesmaximal, complemented
33#35200C211yesmaximal, characteristic, complemented
34#34609C211yesmaximal, characteristic, complemented
35#34384C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yescomplemented
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#555C2212yescomplemented
43C2×#554C2211yescharacteristic
44C2×#554C2211yescharacteristic, complemented
45C2×#553C2212yes—
46C2×#553C2212yescomplemented
47C2×#552C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#552C2212yes—
50C2×#552C2212yescomplemented
51C2×#551C2212yes—
52C2×#551C2212yes—
53C2×D4×Q8C2211yescharacteristic, complemented
54C2×#548C2212yes—
55C2×#548C2212yes—
56C2×#547C2211yescharacteristic
57C2×#547C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#546C2211yescharacteristic
60C2×#546C2212yes—
61C2×#544C2212yescomplemented
62C2×#542C2214yescomplemented
63C2×#540C2212yescomplemented
64C2×#537C2212yes—
65C2×#537C2212yes—
66C2×#536C2212yescomplemented
67C2×#533C2211yescharacteristic
68C2×#533C2211yescharacteristic, complemented
69C2×#532C2211yescharacteristic, complemented
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#529C2211yescharacteristic
74C2×#525C2212yes—
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic
79C22×#117C2212yes—
80#2857C2211yescharacteristic
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic, complemented
83#2857C2212yescomplemented
84#2857C2211yescharacteristic, complemented
85#2857C2212yescomplemented
86#2856C2212yescomplemented
87#2851C2212yescomplemented
88#2851C2212yescomplemented
89#2851C2212yescomplemented
90#2847C2212yes—
91#2847C2212yes—
92#2723C2214yescomplemented
93#2721C2214yescomplemented
94#2721C2214yescomplemented
95#2720C2214yescomplemented
96#2718C2214yescomplemented
97#2715C2214yescomplemented
98#2715C2214yescomplemented
99#2715C2214yescomplemented
100#2713C2214yescomplemented
101#2707C2214yescomplemented
102#2706C2214yescomplemented
103#2705C2214yes—
104#2705C2214yescomplemented
105#2704C2214yescomplemented
106#2702C2214yescomplemented
107#2700C2214yescomplemented
108#2700C2214yescomplemented
109#2693C2214yes—
110#2692C2214yes—
111#2691C2214yescomplemented
112#2690C2214yescomplemented
113#2689C2214yescomplemented
114#2688C2214yescomplemented
115#2686C2214yescomplemented
116#2683C2214yes—
117#2682C2214yescomplemented
118#2681C2214yescomplemented
119#2680C2214yes—
120#2676C2214yescomplemented
121#2675C2214yes—
122#2674C2214yescomplemented
123#2672C2214yes—
124#2672C2214yes—
125#2672C2214yescomplemented
126#2672C2214yescomplemented
127#2671C2214yes—
128#2671C2214yes—
129#2671C2214yescomplemented
130#2670C2214yes—
131#2668C2214yes—
132#2638C2214yescomplemented
133#2635C2212yes—
134#2635C2212yescomplemented
135#2632C2212yescomplemented
136#2631C2212yes—
137#2629C2212yes—
138#2629C2212yes—
139#2629C2212yescomplemented
140#2628C2211yescharacteristic
141#2628C2212yes—
142#2628C2211yescharacteristic, complemented
143#2624C2211yescharacteristic, complemented
144#2624C2212yescomplemented
145#2624C2212yescomplemented
146#2624C2211yescharacteristic, complemented
147#2620C2214yescomplemented
148#2619C2211yescharacteristic
149#2619C2211yescharacteristic, complemented
150#2615C2211yescharacteristic
151#2615C2211yescharacteristic
152#2599C2214yescomplemented
153#2584C2212yescomplemented
154#2582C2212yescomplemented
155#2582C2212yescomplemented
156#2580C2212yescomplemented
157#2567C2211yescharacteristic, complemented
158#2567C2212yescomplemented
159#2563C2211yescharacteristic
160#2562C2212yescomplemented
161#2557C2214yes—
162#2555C2214yescomplemented
163#2553C2214yescomplemented
164#2547C2211yescharacteristic
165#2547C2212yescomplemented
166#2546C2211yescharacteristic, complemented
167#2543C2214yescomplemented
168#2542C2212yes—
169#2542C2212yescomplemented
170#2538C2212yes—
171#2538C2212yes—
172#2538C2212yes—
173#2538C2211yescharacteristic, complemented
174#2538C2212yescomplemented
175#2538C2211yescharacteristic, complemented
176#2538C2212yescomplemented
177#2537C2214yes—
178#2537C2212yes—
179#2537C2212yes—
180#2537C2211yescharacteristic
181#2537C2211yescharacteristic
182#2537C2212yescomplemented
183#2535C2212yescomplemented
184#2499C2212yescomplemented
185#2492C2212yescomplemented
186#2489C2212yescomplemented
187#2487C2212yescomplemented
188#2486C2212yes—
189#2485C2212yes—
190#2485C2212yescomplemented
191#2485C2212yescomplemented
192#2485C2212yescomplemented
193#2477C2214yescomplemented
194#2477C2214yescomplemented
195#2476C2214yescomplemented
196#2476C2214yescomplemented
197#2472C2214yes—
198#2471C2214yes—
199#2471C2214yes—
200#2471C2214yes—
201#2466C2214yescomplemented
202#2463C2214yescomplemented
203#2459C2214yes—
204#2455C2214yes—
205#2450C2214yescomplemented
206#2443C2214yescomplemented
207#2443C2214yescomplemented
208#2442C2214yescomplemented
209#2441C2214yes—
210#2441C2212yescomplemented
211#2441C2214yescomplemented
212#2440C2212yescomplemented
213#2440C2214yescomplemented
214#2439C2214yes—
215#2438C2214yescomplemented
216#2438C2214yescomplemented
217#2437C2214yes—
218#2437C2214yes—
219#2434C2212yescomplemented
220#2432C2212yes—
221#2432C2212yes—
222#2429C2212yescomplemented
223#2427C2212yes—
224#2427C2212yes—
225#2427C2212yes—
226#2427C2214yescomplemented
227#2427C2214yescomplemented
228#2425C2214yes—
229#2424C2214yes—
230#2424C2214yes—
231#2424C2214yes—
232#2424C2214yes—
233#2422C2214yescomplemented
234#2421C2212yescomplemented
235#2420C2212yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2212yes—
239#2417C2212yes—
240#2417C2212yescomplemented
241#2417C2212yescomplemented
242#2416C2212yes—
243#2416C2212yescomplemented
244#2416C2212yescomplemented
245#2416C2212yescomplemented
246#2416C2214yescomplemented
247#2415C2214yescomplemented
248#2415C2212yescomplemented
249#2415C2212yescomplemented
250#2415C2214yescomplemented
251#2414C2212yes—
252#2414C2212yescomplemented
253#2412C2214yes—
254#2409C2212yes—
255#2408C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2398C2212yescomplemented
259#2397C2212yes—
260#2388C2212yes—
261#2388C2212yescomplemented
262#2383C2214yescomplemented
263#2363C2212yes—
264#2361C2212yes—
265#2361C2212yes—
266#2360C2212yescomplemented
267#2355C2211yescharacteristic, complemented
268#2354C2211yescharacteristic
269#2352C2212yes—
270#2352C2212yescomplemented
271#2352C2212yescomplemented
272Q8×C4⋊C4C2211yescharacteristic, complemented
273D4×C4⋊C4C2211yescharacteristic
274D4×C4⋊C4C2212yescomplemented
275Q8×C22⋊C4C2212yescomplemented
276#2339C2212yes—
277#2330C2212yescomplemented
278#2327C2212yescomplemented
279#2326C2212yes—
280#2326C2212yes—
281#2324C2212yes—
282#2324C2212yes—
283#2322C2214yescomplemented
284#2317C2212yescomplemented
285#2317C2212yescomplemented
286#2316C2212yescomplemented
287#2316C2212yescomplemented
288#2314C2212yescomplemented
289#2311C2212yes—
290#2311C2212yescomplemented
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2212yescomplemented
294C4×#121C2211yescharacteristic, complemented
295C4×#121C2211yescharacteristic, complemented
296C4×#121C2212yescomplemented
297C2×#384C2211yescharacteristic, complemented
298#2283C2211yescharacteristic, complemented
299#2280C2212yes—
300C2×#380C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#562—232no—
310#556—28no—
311#555—28no—
312#555—28no—
313#555—216no—
314#554—28no—
315#554—28no—
316#553—216no—
317#553—216no—
318#552—216no—
319#552—28no—
320#552—216no—
321#552—28no—
322#551—216no—
323#551—216no—
324D4×Q8—28no—
325#548—216no—
326#548—48no—
327#547—28no—
328#547—28no—
329#546—28no—
330#546—28no—
331#546—48no—
332#544—216no—
333#542—232no—
334#540—216no—
335#537—216no—
336#537—48no—
337#536—216no—
338#533—28no—
339#533—28no—
340#532—28no—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349C2×#127C2311yescharacteristic
350#529—216no—
351#529—28no—
352#529—216no—
353#529D4116yescomplemented
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#125C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2314yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2311yescharacteristic
379#525—216no—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2311yescharacteristic
443C2×#121C2311yescharacteristic
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2311yescharacteristic
451C2×#120C2312yes—
452C2×#120C2312yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455C4×#41—28no—
456C4×#41—28no—
457C4×#41—28no—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×D4—28no—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2314yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2314yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×#117—216no—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2314yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C22×C4⋊C4C2312yes—
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2312yes—
531C22×C4⋊C4C2312yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2314yes—
536C22×C42C2312yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540C22×C42C2311yescharacteristic
541#400C2314yes—
542#400C2312yes—
543#400C2314yes—
544#400C2312yes—
545#400C2314yes—
546#399C2314yes—
547#399C2312yes—
548#399C2312yes—
549#399C2314yes—
550#399C2314yes—
551#399C2312yes—
552#399C2314yes—
553#399C2312yes—
554#399C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#397C2314yes—
565#397C2312yes—
566#397C2312yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
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#396C2314yes—
590#396C2314yes—
591#395C2314yes—
592#395C2314yes—
593#395C2314yes—
594#395C2314yes—
595#395C2312yes—
596#395C2314yes—
597#395C2312yes—
598#394C2314yes—
599#394C2312yes—
600#394C2312yes—
601#394C2312yes—
602#394C2312yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2312yes—
608#394C2312yes—
609#394C2312yes—
610#394C2312yes—
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#394C2314yes—
625#393C2314yes—
626#393C2314yes—
627#393C2312yes—
628#393C2312yes—
629#393C2312yes—
630#393C2314yes—
631#393C2312yes—
632#392C2312yes—
633#392C2312yes—
634#392C2312yes—
635#392C2312yes—
636#392C2312yes—
637#392C2312yes—
638#392C2312yes—
639#392C2312yes—
640#392C2312yes—
641#392C2312yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#391C2314yes—
646#391C2314yes—
647#391C2312yes—
648#391C2314yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2314yes—
657#391C2314yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2312yes—
662#390C2312yes—
663#390C2314yes—
664#390C2314yes—
665#390C2311yescharacteristic
666#390C2312yes—
667#390C2314yes—
668#390C2314yes—
669#390C2311yescharacteristic
670#390C2311yescharacteristic
671#390C2311yescharacteristic
672#390C2314yes—
673#389C2311yescharacteristic
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2311yescharacteristic
681#389C2312yes—
682#389C2314yes—
683#389C2314yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2311yescharacteristic
688#389C2314yes—
689#389C2312yes—
690#389C2312yes—
691#389C2314yes—
692#389C2314yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2311yescharacteristic
698#389C2314yes—
699#389C2314yes—
700#389C2312yes—
701#389C2314yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
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#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#384C2312yes—
782#384C2314yes—
783#384C2312yes—
784#384C2312yes—
785#384C2314yes—
786#384C2312yes—
787#384C2312yes—
788#384C2311yescharacteristic
789#384C2311yescharacteristic
790#383C2312yes—
791#382C2312yes—
792#382C2311yescharacteristic
793#382C2311yescharacteristic
794#382C2312yes—
795#382C2314yes—
796#381C2312yes—
797#381C2314yes—
798#381C2314yes—
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#380C2312yes—
818#380C2312yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2314yes—
825#380C2314yes—
826#380C2312yes—
827#380C2311yescharacteristic
828#380C2311yescharacteristic
829#380C2311yescharacteristic
830#380C2311yescharacteristic
831#380C2311yescharacteristic
832#380C2314yes—
833#380C2314yes—
834#380C2314yes—
835#379C2314yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2311yescharacteristic
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2314yes—
852#376C2312yes—
853C2×#95C2314yes—
854C25C2412yes—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—42no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—42no—
867C2×#41—42no—
868C2×#41—44no—
869C2×#41—44no—
870C22×Q8—28no—
871C22×Q8—44no—
872C22×Q8—44no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2412yes—
880C22×Q8C2414yes—
881C22×D4—24no—
882C22×D4—24no—
883C22×D4—42no—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2411yescharacteristic
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C23×C4—28no—
909C23×C4—28no—
910C23×C4—44no—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2411yescharacteristic
932C23×C4C2414yes—
933C23×C4C2414yes—
934C23×C4C2414yes—
935C23×C4C2411yescharacteristic
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—216no—
939C4⋊Q8—24no—
940C4⋊Q8—24no—
941C4⋊Q8—24no—
942C4⋊Q8—28no—
943C4⋊Q8—44no—
944#127—24no—
945#126—28no—
946#126—216no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126C2×D4116yes—
952#125—28no—
953#125—28no—
954#125—24no—
955#125—28no—
956#125—216no—
957#125—28no—
958#125—28no—
959#125C2×D418yes—
960#124—24no—
961#124—28no—
962#124—28no—
963#124—28no—
964#124—216no—
965#124—216no—
966#124—216no—
967#124—28no—
968#124—48no—
969#124C2×D418yes—
970#123—28no—
971#123—28no—
972#123—216no—
973#123—216no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—216no—
980#123—216no—
981#123—48no—
982#123C2×D4116yes—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—216no—
996C22⋊Q8—216no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—216no—
1000C22⋊Q8—48no—
1001C22⋊Q8—48no—
1002C22⋊Q8—44no—
1003C22⋊Q8—44no—
1004C22⋊Q8—44no—
1005C22⋊Q8—44no—
1006C22⋊Q8—82no—
1007C22⋊Q8—82no—
1008C22⋊Q8—84no—
1009C22⋊Q8C2×D418yes—
1010#121—28no—
1011#121—28no—
1012#121—24no—
1013#121—28no—
1014#121—216no—
1015#121—216no—
1016#121—28no—
1017#121—28no—
1018#121—24no—
1019#121—24no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—24no—
1024#121—24no—
1025#121—28no—
1026#121—28no—
1027#121—216no—
1028#121—216no—
1029#121—48no—
1030#121—48no—
1031#121—48no—
1032#121—48no—
1033#121—44no—
1034#121—42no—
1035#121—44no—
1036#121—42no—
1037#121—48no—
1038#121—84no—
1039#121—84no—
1040#121C2×D418yes—
1041#120—28no—
1042#120—28no—
1043#120—48no—
1044#120—84no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—24no—
1048C4×Q8—24no—
1049C4×Q8—24no—
1050C4×Q8—28no—
1051C4×Q8—28no—
1052C4×Q8—28no—
1053C4×Q8—44no—
1054C4×Q8C2×D418yes—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—28no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—216no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—28no—
1076C4×D4—24no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—44no—
1080C4×D4—44no—
1081C4×D4—44no—
1082C4×D4—44no—
1083C4×D4—44no—
1084C4×D4—48no—
1085C4×D4—84no—
1086C4×D4—84no—
1087C4×D4C2×D418yes—
1088C4×D4C2×D4116yes—
1089#117—28no—
1090#117—24no—
1091#117—24no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—28no—
1096#117—28no—
1097#117—24no—
1098#117—28no—
1099#117—216no—
1100#117—28no—
1101#117—28no—
1102#117—24no—
1103#117—28no—
1104#117—24no—
1105#117—28no—
1106#117—44no—
1107#117C2×D4116yes—
1108C2×C4⋊C4—28no—
1109C2×C4⋊C4—28no—
1110C2×C4⋊C4—28no—
1111C2×C4⋊C4—24no—
1112C2×C4⋊C4—28no—
1113C2×C4⋊C4—44no—
1114C2×C4⋊C4—44no—
1115C2×C4⋊C4—44no—
1116C2×C4⋊C4—82no—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2411yescharacteristic
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2412yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2412yes—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4—28no—
1189C2×C22⋊C4—48no—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2411yescharacteristic
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C42—28no—
1262C2×C42—28no—
1263C2×C42—24no—
1264C2×C42—24no—
1265C2×C42C2×D418yes—
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2414yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2414yes—
1273C2×C42C2412yes—
1274C2×C42C2412yes—
1275C2×C42C2411yescharacteristic
1276C2×C42C2412yes—
1277C2×C42C2411yescharacteristic
1278C2×C42C2411yescharacteristic
1279C2×C42C2411yescharacteristic
1280C2×C42C2412yes—
1281C2×C42C2414yes—
1282C2×C42C2414yes—
1283C2×C42C2414yes—
1284C2×C42C2411yescharacteristic
1285C2×C42C2412yes—
1286C2×C42C2411yescharacteristic
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#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24—24no—
1332C24—24no—
1333C24—24no—
1334C24—42no—
1335C24—42no—
1336C24—42no—
1337C24—42no—
1338C24C2511yescharacteristic
1339C24C2512yes—
1340C24C2512yes—
1341C24C2512yes—
1342C24C2511yescharacteristic
1343C24C2512yes—
1344C24C2511yescharacteristic
1345#41—416no—
1346#41—416no—
1347#41—416no—
1348#41—816no—
1349#41—816no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—24no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—28no—
1356C2×Q8—24no—
1357C2×Q8—22no—
1358C2×Q8—22no—
1359C2×Q8—24no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—24no—
1364C2×Q8—41no—
1365C2×Q8—42no—
1366C2×Q8—44no—
1367C2×Q8—42no—
1368C2×Q8—42no—
1369C2×Q8—44no—
1370C2×Q8—42no—
1371C2×Q8—42no—
1372C2×Q8—42no—
1373C2×Q8—816no—
1374C2×Q8C22×D414yes—
1375C2×D4—22no—
1376C2×D4—24no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—22no—
1384C2×D4—24no—
1385C2×D4—28no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—28no—
1390C2×D4—28no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—22no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—22no—
1407C2×D4—22no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—42no—
1414C2×D4—41no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—42no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—42no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—44no—
1444C2×D4—416no—
1445C2×D4C22×D414yes—
1446C2×D4C22×D418yes—
1447C2×D4H(5,𝔽2)14yes—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—28no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—22no—
1485C22×C4—22no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—22no—
1489C22×C4—28no—
1490C22×C4—28no—
1491C22×C4—41no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—42no—
1495C22×C4—41no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—432no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—41no—
1505C22×C4—41no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—44no—
1509C22×C4—41no—
1510C22×C4—41no—
1511C22×C4—44no—
1512C22×C4—44no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—44no—
1518C22×C4—44no—
1519C22×C4C22×D414yes—
1520C22×C4C22×D414yes—
1521C22×C4C22×D418yes—
1522C22×C4C22×D414yes—
1523C22×C42−1+414yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2512yes—
1530C22×C4C2514yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2514yes—
1534C22×C4C2512yes—
1535C22×C4C2514yes—
1536C22×C4C2512yes—
1537C22×C4C2514yes—
1538C22×C4C2512yes—
1539C22×C4C2511yescharacteristic
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2512yes—
1546C22×C4C2512yes—
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2511yescharacteristic
1551C22×C4C2511yescharacteristic
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—28no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—28no—
1576C4⋊C4—24no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—28no—
1580C4⋊C4—28no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—22no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—42no—
1598C4⋊C4—42no—
1599C4⋊C4—44no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—44no—
1604C4⋊C4—42no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4C22×D414yes—
1616C4⋊C4C22×D414yes—
1617C4⋊C4C22×D418yes—
1618C4⋊C4C22×D418yes—
1619C4⋊C4C22×D418yes—
1620C4⋊C4C22×D418yes—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—22no—
1625C22⋊C4—24no—
1626C22⋊C4—22no—
1627C22⋊C4—28no—
1628C22⋊C4—28no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—28no—
1634C22⋊C4—22no—
1635C22⋊C4—22no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—22no—
1644C22⋊C4—24no—
1645C22⋊C4—22no—
1646C22⋊C4—28no—
1647C22⋊C4—28no—
1648C22⋊C4—24no—
1649C22⋊C4—28no—
1650C22⋊C4—24no—
1651C22⋊C4—28no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—42no—
1657C22⋊C4—44no—
1658C22⋊C4—42no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—42no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—42no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—42no—
1687C22⋊C4C22×D418yes—
1688C22⋊C4C22×D418yes—
1689C22⋊C4C22×D418yes—
1690C22⋊C4C22×D418yes—
1691C22⋊C4C22×D418yes—
1692C42—22no—
1693C42—24no—
1694C42—24no—
1695C42—22no—
1696C42—24no—
1697C42—24no—
1698C42—22no—
1699C42—24no—
1700C42—22no—
1701C42—22no—
1702C42—22no—
1703C42—28no—
1704C42—28no—
1705C42—24no—
1706C42—24no—
1707C42—44no—
1708C42—44no—
1709C42—44no—
1710C42C22×D414yes—
1711C42C22×D414yes—
1712C42C22×D418yes—
1713C42C22×D414yes—
1714C42C22×D414yes—
1715C23—21no—
1716C23—22no—
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23—22no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—22no—
1728C23—21no—
1729C23—22no—
1730C23—22no—
1731C23—21no—
1732C23—21no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—21no—
1737C23—21no—
1738C23—22no—
1739C23—22no—
1740C23—21no—
1741C23—22no—
1742C23—21no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—21no—
1748C23—22no—
1749C23—22no—
1750C23—21no—
1751C23—22no—
1752C23—22no—
1753C23—21no—
1754C23—22no—
1755C23—21no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—21no—
1760C23—48no—
1761C23—48no—
1762C23—48no—
1763C23—84no—
1764C23—84no—
1765C23—84no—
1766C23—84no—
1767C23C23×D412yes—
1768C23C23×D414yes—
1769C23C2×H(5,𝔽2)14yes—
1770C23C2×2−1+412yes—
1771C23C2611yescharacteristic
1772Q8—28no—
1773Q8—44no—
1774Q8—48no—
1775Q8—44no—
1776Q8—84no—
1777Q8—84no—
1778Q8—88no—
1779Q8—84no—
1780D4—28no—
1781D4—28no—
1782D4—48no—
1783D4—48no—
1784D4—44no—
1785D4—44no—
1786D4—48no—
1787D4—48no—
1788D4—44no—
1789D4—44no—
1790D4—44no—
1791D4—84no—
1792D4—84no—
1793D4—84no—
1794D4—88no—
1795D4—84no—
1796D4—88no—
1797D4—88no—
1798D4—84no—
1799D4—84no—
1800D4—84no—
1801D4—88no—
1802D4—84no—
1803D4—84no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—21no—
1820C2×C4—28no—
1821C2×C4—28no—
1822C2×C4—216no—
1823C2×C4—28no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—24no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—24no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—24no—
1877C2×C4—22no—
1878C2×C4—44no—
1879C2×C4—48no—
1880C2×C4—48no—
1881C2×C4—48no—
1882C2×C4—48no—
1883C2×C4—48no—
1884C2×C4—44no—
1885C2×C4—48no—
1886C2×C4—44no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—44no—
1890C2×C4—84no—
1891C2×C4—82no—
1892C2×C4—82no—
1893C2×C4—84no—
1894C2×C4—88no—
1895C2×C4—88no—
1896C2×C4—88no—
1897C2×C4—164no—
1898C2×C4—164no—
1899C2×C4C23×D412yes—
1900C2×C4C23×D412yes—
1901C2×C4C23×D412yes—
1902C2×C4C23×D412yes—
1903C2×C4C23×D414yes—
1904C2×C4C23×D414yes—
1905C2×C4C23×D414yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D412yes—
1908C2×C4C2×H(5,𝔽2)12yes—
1909C2×C4C2×2−1+412yes—
1910C2×C4C2×2−1+412yes—
1911C2×C4#58512yes—
1912C2×C4#58512yes—
1913C22—22no—
1914C22—24no—
1915C22—24no—
1916C22—22no—
1917C22—24no—
1918C22—22no—
1919C22—22no—
1920C22—24no—
1921C22—22no—
1922C22—24no—
1923C22—24no—
1924C22—22no—
1925C22—41no—
1926C22—42no—
1927C22—42no—
1928C22—41no—
1929C22—41no—
1930C22—42no—
1931C22—41no—
1932C22—42no—
1933C22—41no—
1934C22—41no—
1935C22—42no—
1936C22—42no—
1937C22—41no—
1938C22—42no—
1939C22—42no—
1940C22—41no—
1941C22—42no—
1942C22—41no—
1943C22—42no—
1944C22—41no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—41no—
1949C22—42no—
1950C22—42no—
1951C22—41no—
1952C22—42no—
1953C22—42no—
1954C22—42no—
1955C22—41no—
1956C22—42no—
1957C22—42no—
1958C22—41no—
1959C22—41no—
1960C22—42no—
1961C22—42no—
1962C22—816no—
1963C22C24×D411yescharacteristic
1964C22C22×H(5,𝔽2)11yescharacteristic
1965C22C22×2−1+411yescharacteristic
1966C22C2×#58511yescharacteristic
1967C22C2×#58511yescharacteristic
1968C22H(7,𝔽2)11yescharacteristic
1969C222−1+611yescharacteristic
1970C4—22no—
1971C4—24no—
1972C4—22no—
1973C4—24no—
1974C4—22no—
1975C4—22no—
1976C4—22no—
1977C4—24no—
1978C4—41no—
1979C4—42no—
1980C4—41no—
1981C4—42no—
1982C4—42no—
1983C4—44no—
1984C4—42no—
1985C4—41no—
1986C4—41no—
1987C4—42no—
1988C4—44no—
1989C4—41no—
1990C4—42no—
1991C4—42no—
1992C4—44no—
1993C4—44no—
1994C4—42no—
1995C4—42no—
1996C4#348814yes—
1997C4#348914yes—
1998C2—42no—
1999C2—44no—
2000C2—44no—
2001C2—42no—
2002C2—82no—
2003C2—81no—
2004C2—82no—
2005C2C2×#348811yescharacteristic
2006C2C2×#348911yescharacteristic
2007C2#6285311yescharacteristic
2008C2#6291511yescharacteristic
2009C2#6292011yescharacteristic
2010C2#6292911yescharacteristic
2011C2#6293611yescharacteristic
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×#3547C2semidirect
2. C2×#3475C2semidirect
3. #51411C2semidirect
4. #51410C2semidirect
5. #50886C2semidirect
6. #50683C2semidirect
7. #45432C2semidirect
8. #45422C2semidirect
9. #45307C2semidirect
10. #45113C2semidirect
11. #45103C2semidirect
12. #45091C2semidirect
13. #45071C2semidirect
14. #44885C2semidirect
15. #39598C2semidirect
16. #39596C2semidirect
17. #38922C2semidirect
18. #38922C2semidirect
19. #38920C2semidirect
20. #38914C2semidirect
21. #37845C2semidirect
22. #37836C2semidirect
23. #37281C2semidirect
24. #37276C2semidirect
25. #36492C2semidirect
26. #36444C2semidirect
27. #36160C2semidirect
28. #36153C2semidirect
29. #35280C2semidirect
30. #35273C2semidirect
31. #35261C2semidirect
32. #35253C2semidirect
33. #35200C2semidirect
34. #34609C2semidirect
35. #34384C2semidirect
37. C2×#562C22semidirect
42. C2×#555C22semidirect
44. C2×#554C22semidirect
46. C2×#553C22semidirect
50. C2×#552C22semidirect
53. C2×D4×Q8C22semidirect
61. C2×#544C22semidirect
62. C2×#542C22semidirect
63. C2×#540C22semidirect
66. C2×#536C22semidirect
68. C2×#533C22semidirect
69. C2×#532C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
85. #2857C22semidirect
86. #2856C22semidirect
87. #2851C22semidirect
88. #2851C22semidirect
89. #2851C22semidirect
92. #2723C22semidirect
93. #2721C22semidirect
94. #2721C22semidirect
95. #2720C22semidirect
96. #2718C22semidirect
97. #2715C22semidirect
98. #2715C22semidirect
99. #2715C22semidirect
100. #2713C22semidirect
101. #2707C22semidirect
102. #2706C22semidirect
104. #2705C22semidirect
105. #2704C22semidirect
106. #2702C22semidirect
107. #2700C22semidirect
108. #2700C22semidirect
111. #2691C22semidirect
112. #2690C22semidirect
113. #2689C22semidirect
114. #2688C22semidirect
115. #2686C22semidirect
117. #2682C22semidirect
118. #2681C22semidirect
120. #2676C22semidirect
122. #2674C22semidirect
125. #2672C22semidirect
126. #2672C22semidirect
129. #2671C22semidirect
132. #2638C22semidirect
134. #2635C22semidirect
135. #2632C22semidirect
139. #2629C22semidirect
142. #2628C22semidirect
143. #2624C22semidirect
144. #2624C22semidirect
145. #2624C22semidirect
146. #2624C22semidirect
147. #2620C22semidirect
149. #2619C22semidirect
152. #2599C22semidirect
153. #2584C22semidirect
154. #2582C22semidirect
155. #2582C22semidirect
156. #2580C22semidirect
157. #2567C22semidirect
158. #2567C22semidirect
160. #2562C22semidirect
162. #2555C22semidirect
163. #2553C22semidirect
165. #2547C22semidirect
166. #2546C22semidirect
167. #2543C22semidirect
169. #2542C22semidirect
173. #2538C22semidirect
174. #2538C22semidirect
175. #2538C22semidirect
176. #2538C22semidirect
182. #2537C22semidirect
183. #2535C22semidirect
184. #2499C22semidirect
185. #2492C22semidirect
186. #2489C22semidirect
187. #2487C22semidirect
190. #2485C22semidirect
191. #2485C22semidirect
192. #2485C22semidirect
193. #2477C22semidirect
194. #2477C22semidirect
195. #2476C22semidirect
196. #2476C22semidirect
201. #2466C22semidirect
202. #2463C22semidirect
205. #2450C22semidirect
206. #2443C22semidirect
207. #2443C22semidirect
208. #2442C22semidirect
210. #2441C22semidirect
211. #2441C22semidirect
212. #2440C22semidirect
213. #2440C22semidirect
215. #2438C22semidirect
216. #2438C22semidirect
219. #2434C22semidirect
222. #2429C22semidirect
226. #2427C22semidirect
227. #2427C22semidirect
233. #2422C22semidirect
234. #2421C22semidirect
240. #2417C22semidirect
241. #2417C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2416C22semidirect
246. #2416C22semidirect
247. #2415C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
252. #2414C22semidirect
258. #2398C22semidirect
261. #2388C22semidirect
262. #2383C22semidirect
266. #2360C22semidirect
267. #2355C22semidirect
270. #2352C22semidirect
271. #2352C22semidirect
272. Q8×C4⋊C4C22semidirect
274. D4×C4⋊C4C22semidirect
275. Q8×C22⋊C4C22semidirect
277. #2330C22semidirect
278. #2327C22semidirect
283. #2322C22semidirect
284. #2317C22semidirect
285. #2317C22semidirect
286. #2316C22semidirect
287. #2316C22semidirect
288. #2314C22semidirect
290. #2311C22semidirect
293. C4×#121C22semidirect
294. C4×#121C22semidirect
295. C4×#121C22semidirect
296. C4×#121C22semidirect
297. C2×#384C22semidirect
298. #2283C22semidirect
353. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35472
C2×#34752
#514112
#514102
#508862
#506832
#454322
#454222
#453072
#451132
#451032
#450912
#450712
#448852
#395982
#395962
#389222
#389202
#389142
#378452
#378362
#372812
#372762
#364922
#364442
#361602
#361532
#352802
#352732
#352612
#352532
#352002
#346092
#343842