Finite Group Databasebeta

← #7652124

Subgroups — #7652124

Order 512.

7987 conjugacy classes of subgroups.

The subgroup lattice has 2090 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C2×#3486C211yesmaximal, characteristic, complemented
3#42887C212yesmaximal, complemented
4#42810C212yesmaximal, complemented
5#42808C212yesmaximal, complemented
6#42808C212yesmaximal, complemented
7#42805C212yesmaximal, complemented
8#42800C212yesmaximal, complemented
9#42792C212yesmaximal, complemented
10#42788C212yesmaximal, complemented
11#42297C214yesmaximal, complemented
12#42296C214yesmaximal, complemented
13#39950C212yesmaximal, complemented
14#39950C212yesmaximal, complemented
15#39858C212yesmaximal, complemented
16#39854C212yesmaximal, complemented
17#39618C212yesmaximal, complemented
18#39596C212yesmaximal, complemented
19#39167C212yesmaximal, complemented
20#39124C212yesmaximal, complemented
21#38367C214yesmaximal, complemented
22#38366C214yesmaximal, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35659C211yesmaximal, characteristic, complemented
25#35634C211yesmaximal, characteristic, complemented
26#35621C211yesmaximal, characteristic, complemented
27#35542C211yesmaximal, characteristic, complemented
28#35518C211yesmaximal, characteristic, complemented
29#35312C211yesmaximal, characteristic, complemented
30#35306C211yesmaximal, characteristic, complemented
31#35242C211yesmaximal, characteristic, complemented
32#34936C211yesmaximal, characteristic, complemented
33#34737C211yesmaximal, characteristic, complemented
34C2×#2409C211yesmaximal, characteristic, complemented
35#34254C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C24×Q8C2211yescharacteristic
38#3495—216no—
39#3486—216no—
40C2×#556C2212yescomplemented
41C2×#554C2212yescomplemented
42C2×#552C2214yes—
43C2×#552C2212yescomplemented
44C2×#552C2212yescomplemented
45C2×#551C2214yes—
46C2×D4×Q8C2212yescomplemented
47C2×D4×Q8C2212yescomplemented
48C2×D4×Q8C2212yescomplemented
49C2×D4×Q8C2212yescomplemented
50C2×#548C2212yescomplemented
51C2×#548C2212yescomplemented
52C2×#548C2212yescomplemented
53C2×#548C2212yescomplemented
54C2×#544C2211yescharacteristic
55C2×#542C2212yescomplemented
56C2×#541C2212yescomplemented
57C2×#537C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#536C2214yes—
61C2×#536C2211yescharacteristic
62C2×#536C2211yescharacteristic
63C2×#533C2212yescomplemented
64C2×#532C2211yescharacteristic
65C2×#529C2212yescomplemented
66C2×#525C2211yescharacteristic
67C2×#525C2211yescharacteristic
68C2×#525C2211yescharacteristic
69C2×#525C2214yes—
70C2×#525C2211yescharacteristic
71C2×#525C2211yescharacteristic
72C2×#525C2211yescharacteristic
73C22×C22⋊Q8C2211yescharacteristic
74C22×C22⋊Q8C2211yescharacteristic
75C2×#520C2211yescharacteristic
76C2×#519C2211yescharacteristic
77C22×C4×D4C2211yescharacteristic
78C22×#117C2211yescharacteristic
79#2862C2212yescomplemented
80#2861C2212yescomplemented
81#2857C2212yescomplemented
82#2850C2212yescomplemented
83#2849C2214yes—
84#2821C2214yescomplemented
85#2821C2214yescomplemented
86#2820C2214yescomplemented
87#2819C2214yescomplemented
88#2723C2214yes—
89#2723C2214yescomplemented
90#2723C2214yescomplemented
91#2723C2214yescomplemented
92#2723C2214yescomplemented
93#2723C2214yescomplemented
94#2720C2214yescomplemented
95#2720C2214yescomplemented
96#2720C2214yescomplemented
97#2720C2214yescomplemented
98#2720C2214yescomplemented
99#2720C2214yescomplemented
100#2714C2214yes—
101#2714C2214yescomplemented
102#2711C2214yescomplemented
103#2711C2214yescomplemented
104#2696C2214yes—
105#2696C2214yes—
106#2696C2214yescomplemented
107#2696C2214yescomplemented
108#2696C2214yescomplemented
109#2696C2214yescomplemented
110#2692C2214yes—
111#2692C2214yescomplemented
112#2692C2214yescomplemented
113#2692C2214yescomplemented
114#2692C2214yescomplemented
115#2692C2214yescomplemented
116#2676C2214yes—
117#2676C2214yescomplemented
118#2673C2214yes—
119#2673C2214yes—
120#2662C2214yescomplemented
121#2662C2214yescomplemented
122#2660C2214yescomplemented
123#2642C2212yescomplemented
124#2640C2214yescomplemented
125#2640C2212yescomplemented
126#2636C2214yes—
127#2636C2214yescomplemented
128#2633C2214yescomplemented
129#2632C2214yescomplemented
130#2631C2214yes—
131#2631C2214yescomplemented
132#2628C2214yescomplemented
133#2628C2214yescomplemented
134#2621C2212yescomplemented
135#2620C2212yescomplemented
136#2614C2214yes—
137#2610C2214yescomplemented
138#2610C2214yescomplemented
139#2603C2214yes—
140#2603C2214yescomplemented
141#2598C2214yes—
142#2598C2214yescomplemented
143#2580C2214yescomplemented
144#2567C2214yescomplemented
145#2566C2214yescomplemented
146#2563C2214yescomplemented
147#2563C2212yescomplemented
148#2562C2212yescomplemented
149#2562C2212yescomplemented
150#2547C2212yescomplemented
151#2547C2212yescomplemented
152#2546C2212yescomplemented
153#2545C2212yescomplemented
154#2544C2214yes—
155#2544C2212yescomplemented
156#2542C2211yescharacteristic
157#2542C2211yescharacteristic
158#2542C2212yescomplemented
159#2542C2212yescomplemented
160#2542C2212yescomplemented
161#2542C2212yescomplemented
162#2541C2211yescharacteristic
163#2541C2211yescharacteristic
164#2540C2211yescharacteristic
165#2540C2211yescharacteristic
166#2540C2211yescharacteristic
167#2540C2211yescharacteristic
168#2540C2212yescomplemented
169#2540C2212yescomplemented
170#2540C2212yescomplemented
171#2540C2212yescomplemented
172#2539C2214yes—
173#2539C2212yes—
174#2539C2212yes—
175#2538C2212yescomplemented
176#2537C2212yescomplemented
177#2536C2212yescomplemented
178#2535C2214yes—
179#2535C2212yescomplemented
180#2501C2214yes—
181#2501C2212yes—
182#2492C2212yescomplemented
183#2492C2212yescomplemented
184#2492C2212yescomplemented
185#2491C2212yescomplemented
186#2490C2212yescomplemented
187#2489C2212yescomplemented
188#2489C2212yescomplemented
189#2489C2212yescomplemented
190#2488C2214yes—
191#2488C2214yes—
192#2488C2214yes—
193#2472C2214yes—
194#2436C2212yescomplemented
195#2436C2212yescomplemented
196#2436C2212yescomplemented
197#2434C2212yescomplemented
198#2434C2212yescomplemented
199#2434C2212yescomplemented
200#2433C2212yes—
201#2432C2212yescomplemented
202#2431C2212yescomplemented
203#2430C2214yes—
204#2430C2214yes—
205#2425C2214yes—
206#2425C2214yes—
207#2425C2214yes—
208#2424C2214yes—
209#2417C2211yescharacteristic
210#2417C2211yescharacteristic
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2417C2212yescomplemented
214#2417C2212yescomplemented
215#2417C2212yescomplemented
216#2416C2211yescharacteristic
217#2416C2211yescharacteristic
218#2416C2212yescomplemented
219#2415C2211yescharacteristic
220#2415C2211yescharacteristic
221#2415C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2415C2212yescomplemented
226#2414C2211yescharacteristic
227#2414C2211yescharacteristic
228#2414C2212yescomplemented
229#2413C2212yes—
230#2413C2214yes—
231#2412C2212yes—
232#2412C2214yes—
233#2411C2212yes—
234#2410C2212yes—
235#2409C2212yes—
236#2409C2212yes—
237#2409C2212yes—
238#2409C2212yes—
239#2409C2212yes—
240#2409C2212yes—
241#2409C2212yes—
242#2409C2212yes—
243#2409C2212yescomplemented
244#2409C2212yescomplemented
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2409C2212yescomplemented
248#2409C2212yescomplemented
249#2409C2212yescomplemented
250#2409C2212yescomplemented
251#2409C2212yescomplemented
252#2409C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2406C2214yes—
260#2404C2214yes—
261#2397C2212yes—
262#2397C2212yes—
263#2392C2212yes—
264#2392C2212yes—
265C2×#395C2212yes—
266C2×#393C2212yes—
267#2356C2212yescomplemented
268#2356C2212yescomplemented
269#2355C2212yescomplemented
270#2355C2212yescomplemented
271#2343C2214yes—
272#2343C2214yes—
273#2328C2214yes—
274#2326C2214yescomplemented
275#2324C2214yes—
276#2324C2214yescomplemented
277#2320C2212yescomplemented
278#2320C2212yescomplemented
279#2317C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2310C2211yescharacteristic
284#2310C2211yescharacteristic
285C4×#127C2212yes—
286C4×#127C2212yes—
287C4×#121C2212yes—
288C4×#121C2212yes—
289#2297C2211yescharacteristic
290#2296C2211yescharacteristic
291#2295C2212yescomplemented
292#2295C2212yescomplemented
293C2×#391C2211yescharacteristic
294C2×#391C2211yescharacteristic
295C2×#386C2212yes—
296C2×#385C2212yes—
297#2280C2211yescharacteristic
298C2×#380C2211yescharacteristic
299#2274C2211yescharacteristic
300C4×#117C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—44no—
303C2×2−1+4—44no—
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2311yescharacteristic
307C22×#41C2314yes—
308C22×#41C2312yes—
309C22×#41C2312yes—
310C23×Q8—28no—
311C23×Q8—44no—
312C23×Q8—44no—
313C23×Q8C2311yescharacteristic
314C23×Q8C2311yescharacteristic
315C23×Q8C2312yes—
316C23×Q8C2312yes—
317C23×Q8C2312yes—
318C23×Q8C2312yes—
319C23×Q8C2312yes—
320C23×Q8C2312yes—
321C23×Q8C2312yes—
322C23×D4C2311yescharacteristic
323C24×C4C2311yescharacteristic
324C24×C4C2311yescharacteristic
325C24×C4C2312yes—
326#556—216no—
327#554—216no—
328#552—216no—
329#552—216no—
330#552—232no—
331#551—232no—
332D4×Q8—216no—
333D4×Q8—216no—
334D4×Q8—216no—
335D4×Q8—216no—
336#548—216no—
337#548—216no—
338#548—216no—
339#548—216no—
340#544—28no—
341#542—216no—
342#541—216no—
343#537—44no—
344#536—28no—
345#536—28no—
346#536—28no—
347#536—232no—
348#536—44no—
349#533—216no—
350#532—44no—
351C2×C4⋊Q8C2314yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2314yes—
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2311yescharacteristic
359C2×C4⋊Q8C2312yes—
360C2×#127C2312yes—
361C2×#127C2312yes—
362C2×#127C2311yescharacteristic
363#529—216no—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#126C2314yes—
367C2×#126C2314yes—
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#125C2312yes—
371C2×#125C2314yes—
372C2×#125C2314yes—
373C2×#124C2314yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2314yes—
380C2×#124C2311yescharacteristic
381C2×#124C2311yescharacteristic
382C2×#124C2312yes—
383#525—28no—
384#525—28no—
385#525—232no—
386#525—28no—
387#525—44no—
388#525—44no—
389#525—44no—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×C22⋊Q8—28no—
403C2×C22⋊Q8—44no—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2311yescharacteristic
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2314yes—
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2311yescharacteristic
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2311yescharacteristic
436C2×C22⋊Q8C2311yescharacteristic
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2311yescharacteristic
441C2×C22⋊Q8C2311yescharacteristic
442C2×C22⋊Q8C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2311yescharacteristic
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2311yescharacteristic
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452C2×#121C2314yes—
453C2×#121C2311yescharacteristic
454C2×#121C2311yescharacteristic
455C2×#121C2311yescharacteristic
456C2×#121C2311yescharacteristic
457C2×#121C2312yes—
458C2×#121C2312yes—
459C2×#121C2311yescharacteristic
460C2×#121C2311yescharacteristic
461C2×#121C2312yes—
462C2×#121C2312yes—
463C2×#121C2314yes—
464C2×#121C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2312yes—
468C2×#120C2312yes—
469C2×#120C2312yes—
470C2×#120C2312yes—
471#520—28no—
472#519D4116yescomplemented
473C2×C4×Q8C2314yes—
474C2×C4×Q8C2312yes—
475C2×C4×Q8C2312yes—
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2312yes—
479C2×C4×D4—44no—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2314yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2312yes—
509C2×#117—28no—
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C2×#117C2311yescharacteristic
513C2×#117C2314yes—
514C2×#117C2314yes—
515C2×#117C2312yes—
516C2×#117C2312yes—
517C2×#117C2311yescharacteristic
518C2×#117C2311yescharacteristic
519C2×#117C2312yes—
520C2×#117C2311yescharacteristic
521C2×#117C2314yes—
522C2×#117C2311yescharacteristic
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2311yescharacteristic
527C22×C4⋊C4C2311yescharacteristic
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2311yescharacteristic
530C22×C4⋊C4C2312yes—
531C22×C22⋊C4C2312yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2311yescharacteristic
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2311yescharacteristic
536C22×C22⋊C4C2312yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539#400C2314yes—
540#400C2314yes—
541#400C2314yes—
542#400C2314yes—
543#400C2314yes—
544#400C2314yes—
545#399C2312yes—
546#399C2314yes—
547#399C2312yes—
548#399C2312yes—
549#399C2314yes—
550#399C2314yes—
551#399C2312yes—
552#399C2314yes—
553#399C2314yes—
554#399C2314yes—
555#399C2312yes—
556#399C2312yes—
557#399C2312yes—
558#399C2312yes—
559#398C2312yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2312yes—
566#397C2314yes—
567#397C2314yes—
568#397C2312yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2312yes—
577#396C2312yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2312yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2312yes—
586#396C2312yes—
587#395C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2314yes—
591#395C2314yes—
592#395C2314yes—
593#395C2314yes—
594#395C2314yes—
595#395C2314yes—
596#395C2314yes—
597#395C2314yes—
598#395C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2312yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2312yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2312yes—
613#394C2312yes—
614#394C2314yes—
615#394C2312yes—
616#394C2312yes—
617#394C2314yes—
618#393C2314yes—
619#393C2314yes—
620#393C2314yes—
621#393C2314yes—
622#393C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2314yes—
626#393C2314yes—
627#393C2314yes—
628#393C2314yes—
629#393C2314yes—
630#393C2314yes—
631#393C2314yes—
632#393C2314yes—
633#393C2314yes—
634#392C2312yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2312yes—
639#392C2312yes—
640#392C2312yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2312yes—
645#392C2312yes—
646#392C2312yes—
647#392C2314yes—
648#392C2312yes—
649#392C2312yes—
650#392C2312yes—
651#391C2312yes—
652#391C2312yes—
653#391C2312yes—
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2312yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2312yes—
662#391C2314yes—
663#391C2314yes—
664#391C2312yes—
665#391C2314yes—
666#391C2312yes—
667#391C2311yescharacteristic
668#391C2312yes—
669#391C2312yes—
670#391C2312yes—
671#391C2311yescharacteristic
672#391C2312yes—
673#391C2312yes—
674#391C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#390C2312yes—
682#390C2312yes—
683#390C2312yes—
684#390C2312yes—
685#390C2312yes—
686#390C2312yes—
687#390C2314yes—
688#390C2314yes—
689#390C2312yes—
690#390C2312yes—
691#390C2312yes—
692#390C2314yes—
693#390C2314yes—
694#390C2312yes—
695#390C2314yes—
696#390C2312yes—
697#390C2314yes—
698#390C2314yes—
699#390C2311yescharacteristic
700#390C2311yescharacteristic
701#390C2314yes—
702#389C2312yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2312yes—
707#389C2312yes—
708#389C2311yescharacteristic
709#389C2311yescharacteristic
710#389C2314yes—
711#389C2314yes—
712#389C2312yes—
713#389C2311yescharacteristic
714#389C2311yescharacteristic
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2312yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2312yes—
728#388C2314yes—
729#388C2314yes—
730#388C2312yes—
731#388C2314yes—
732#388C2312yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2312yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2312yes—
769#386C2314yes—
770#386C2312yes—
771#386C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2312yes—
788#385C2312yes—
789#385C2314yes—
790#385C2314yes—
791#384C2312yes—
792#384C2312yes—
793#384C2314yes—
794#384C2314yes—
795#384C2312yes—
796#383C2314yes—
797#383C2314yes—
798#382C2314yes—
799#382C2314yes—
800#382C2314yes—
801#382C2314yes—
802#382C2312yes—
803#382C2314yes—
804#381C2314yes—
805#381C2314yes—
806#381C2312yes—
807#380C2312yes—
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2311yescharacteristic
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2312yes—
821#380C2312yes—
822#380C2314yes—
823#380C2312yes—
824#380C2314yes—
825#380C2312yes—
826#380C2312yes—
827#380C2311yescharacteristic
828#379C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2311yescharacteristic
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848#376C2312yes—
849#376C2314yes—
850#376C2314yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C43C2312yes—
857C25C2411yescharacteristic
858C25C2411yescharacteristic
8592−1+4—464no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—216no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—24no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—48no—
873C2×#41—48no—
874C2×#41—44no—
875C2×#41—44no—
876C2×#41—44no—
877C2×#41—44no—
878C22×Q8—28no—
879C22×Q8—28no—
880C22×Q8—28no—
881C22×Q8—28no—
882C22×Q8—28no—
883C22×Q8—28no—
884C22×Q8—28no—
885C22×Q8—24no—
886C22×Q8—24no—
887C22×Q8—24no—
888C22×Q8—24no—
889C22×Q8—24no—
890C22×Q8—44no—
891C22×Q8—44no—
892C22×Q8—44no—
893C22×Q8—44no—
894C22×Q8—44no—
895C22×Q8—44no—
896C22×Q8—44no—
897C22×Q8—44no—
898C22×Q8—44no—
899C22×Q8—44no—
900C22×Q8—44no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8—44no—
904C22×Q8—464no—
905C22×Q8C2×D418yes—
906C22×Q8C2411yescharacteristic
907C22×Q8C2412yes—
908C22×Q8C2411yescharacteristic
909C22×Q8C2412yes—
910C22×Q8C2411yescharacteristic
911C22×Q8C2412yes—
912C22×Q8C2412yes—
913C22×Q8C2414yes—
914C22×Q8C2414yes—
915C22×Q8C2414yes—
916C22×Q8C2414yes—
917C22×D4—24no—
918C22×D4—42no—
919C22×D4—42no—
920C22×D4C2412yes—
921C22×D4C2411yescharacteristic
922C22×D4C2412yes—
923C22×D4C2412yes—
924C22×D4C2411yescharacteristic
925C22×D4C2411yescharacteristic
926C22×D4C2412yes—
927C22×D4C2412yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2412yes—
931C22×D4C2411yescharacteristic
932C22×D4C2411yescharacteristic
933C22×D4C2411yescharacteristic
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2412yes—
939C22×D4C2412yes—
940C22×D4C2414yes—
941C22×D4C2412yes—
942C22×D4C2412yes—
943C22×D4C2412yes—
944C22×D4C2414yes—
945C22×D4C2411yescharacteristic
946C23×C4—24no—
947C23×C4—28no—
948C23×C4—24no—
949C23×C4—24no—
950C23×C4—24no—
951C23×C4—24no—
952C23×C4—24no—
953C23×C4—44no—
954C23×C4—44no—
955C23×C4C2411yescharacteristic
956C23×C4C2411yescharacteristic
957C23×C4C2412yes—
958C23×C4C2411yescharacteristic
959C23×C4C2412yes—
960C23×C4C2411yescharacteristic
961C23×C4C2411yescharacteristic
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2412yes—
965C23×C4C2411yescharacteristic
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C23×C4C2412yes—
969C23×C4C2412yes—
970C23×C4C2411yescharacteristic
971C23×C4C2412yes—
972C23×C4C2412yes—
973C23×C4C2412yes—
974C23×C4C2411yescharacteristic
975C23×C4C2412yes—
976C23×C4C2414yes—
977C23×C4C2414yes—
978C23×C4C2414yes—
979C23×C4C2414yes—
980C23×C4C2414yes—
981C23×C4C2411yescharacteristic
982C4⋊Q8—28no—
983C4⋊Q8—28no—
984C4⋊Q8—28no—
985C4⋊Q8—216no—
986C4⋊Q8—216no—
987C4⋊Q8—28no—
988C4⋊Q8—28no—
989C4⋊Q8—42no—
990C4⋊Q8—44no—
991#127—28no—
992#127—42no—
993#127—44no—
994#126—216no—
995#126—216no—
996#126—216no—
997#126—216no—
998#125—28no—
999#125—216no—
1000#125—216no—
1001#125—216no—
1002#125—28no—
1003#124—28no—
1004#124—28no—
1005#124—216no—
1006#124—216no—
1007#124—28no—
1008#124—216no—
1009#124—42no—
1010#124—42no—
1011#124—44no—
1012#124—48no—
1013#123—216no—
1014#123—216no—
1015#123—216no—
1016#123—28no—
1017#123—216no—
1018#123—28no—
1019#123—216no—
1020#123—28no—
1021#123—44no—
1022#123—44no—
1023#123—44no—
1024#123—48no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—28no—
1028C22⋊Q8—28no—
1029C22⋊Q8—28no—
1030C22⋊Q8—28no—
1031C22⋊Q8—24no—
1032C22⋊Q8—24no—
1033C22⋊Q8—24no—
1034C22⋊Q8—24no—
1035C22⋊Q8—24no—
1036C22⋊Q8—24no—
1037C22⋊Q8—216no—
1038C22⋊Q8—216no—
1039C22⋊Q8—216no—
1040C22⋊Q8—28no—
1041C22⋊Q8—28no—
1042C22⋊Q8—28no—
1043C22⋊Q8—28no—
1044C22⋊Q8—216no—
1045C22⋊Q8—216no—
1046C22⋊Q8—216no—
1047C22⋊Q8—216no—
1048C22⋊Q8—216no—
1049C22⋊Q8—216no—
1050C22⋊Q8—44no—
1051C22⋊Q8—44no—
1052C22⋊Q8—44no—
1053C22⋊Q8—44no—
1054C22⋊Q8—42no—
1055C22⋊Q8—42no—
1056C22⋊Q8—42no—
1057C22⋊Q8—42no—
1058C22⋊Q8—42no—
1059C22⋊Q8—42no—
1060C22⋊Q8—44no—
1061C22⋊Q8—44no—
1062C22⋊Q8—44no—
1063C22⋊Q8—44no—
1064#121—28no—
1065#121—24no—
1066#121—24no—
1067#121—24no—
1068#121—24no—
1069#121—24no—
1070#121—24no—
1071#121—216no—
1072#121—216no—
1073#121—48no—
1074#121—44no—
1075#121—42no—
1076#121—42no—
1077#121—42no—
1078#121—42no—
1079#121—42no—
1080#121—42no—
1081#121—44no—
1082#121—44no—
1083#121—44no—
1084#121—44no—
1085#121—48no—
1086#120—28no—
1087#120—28no—
1088#120—28no—
1089#120—44no—
1090#120—44no—
1091#120—44no—
1092C4×Q8—28no—
1093C4×Q8—216no—
1094C4×Q8C2×D4116yescomplemented
1095C4×Q8C2×D4116yescomplemented
1096C4×Q8C2×D4116yescomplemented
1097C4×Q8C2×D4116yescomplemented
1098C4×D4—216no—
1099C4×D4—28no—
1100C4×D4—28no—
1101C4×D4—28no—
1102C4×D4—216no—
1103C4×D4—216no—
1104C4×D4—216no—
1105C4×D4—216no—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—28no—
1109C4×D4—28no—
1110C4×D4—216no—
1111C4×D4—42no—
1112C4×D4—42no—
1113C4×D4—42no—
1114C4×D4—42no—
1115C4×D4—42no—
1116C4×D4—42no—
1117C4×D4—42no—
1118C4×D4—42no—
1119C4×D4—44no—
1120C4×D4—44no—
1121C4×D4—44no—
1122C4×D4—44no—
1123C4×D4—44no—
1124C4×D4—44no—
1125C4×D4—44no—
1126C4×D4—44no—
1127#117—24no—
1128#117—24no—
1129#117—24no—
1130#117—24no—
1131#117—24no—
1132#117—28no—
1133#117—28no—
1134#117—28no—
1135#117—216no—
1136#117—216no—
1137#117C2×D418yes—
1138#117C2×D418yes—
1139#117C2×D4132yes—
1140C2×C4⋊C4—24no—
1141C2×C4⋊C4—28no—
1142C2×C4⋊C4—24no—
1143C2×C4⋊C4—24no—
1144C2×C4⋊C4—24no—
1145C2×C4⋊C4—28no—
1146C2×C4⋊C4—42no—
1147C2×C4⋊C4—44no—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2411yescharacteristic
1182C2×C4⋊C4C2411yescharacteristic
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2414yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2414yes—
1196C2×C4⋊C4C2414yes—
1197C2×C4⋊C4C2414yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2414yes—
1201C2×C4⋊C4C2411yescharacteristic
1202C2×C4⋊C4C2411yescharacteristic
1203C2×C4⋊C4C2411yescharacteristic
1204C2×C4⋊C4C2411yescharacteristic
1205C2×C4⋊C4C2414yes—
1206C2×C4⋊C4C2414yes—
1207C2×C22⋊C4—28no—
1208C2×C22⋊C4—28no—
1209C2×C22⋊C4—44no—
1210C2×C22⋊C4—42no—
1211C2×C22⋊C4—42no—
1212C2×C22⋊C4—44no—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2411yescharacteristic
1244C2×C22⋊C4C2411yescharacteristic
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C22⋊C4C2411yescharacteristic
1247C2×C22⋊C4C2411yescharacteristic
1248C2×C22⋊C4C2411yescharacteristic
1249C2×C22⋊C4C2411yescharacteristic
1250C2×C22⋊C4C2411yescharacteristic
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2412yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2414yes—
1275C2×C22⋊C4C2414yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2412yes—
1282C2×C22⋊C4C2414yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C42—24no—
1288C2×C42—28no—
1289C2×C42C2412yes—
1290C2×C42C2414yes—
1291C2×C42C2412yes—
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2412yes—
1295C2×C42C2411yescharacteristic
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2412yes—
1300C2×C42C2414yes—
1301C2×C42C2412yes—
1302C2×C42C2412yes—
1303C2×C42C2412yes—
1304C2×C42C2414yes—
1305C2×C42C2412yes—
1306C2×C42C2414yes—
1307C2×C42C2414yes—
1308C2×C42C2412yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2412yes—
1336#95C2412yes—
1337#95C2412yes—
1338#95C2412yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2412yes—
1342#95C2412yes—
1343#95C2414yes—
1344#95C2414yes—
1345#95C2414yes—
1346#95C2414yes—
1347#95C2414yes—
1348#95C2414yes—
1349#95C2414yes—
1350#95C2414yes—
1351#95C2414yes—
1352#95C2414yes—
1353C24—22no—
1354C24—22no—
1355C24—22no—
1356C24—22no—
1357C24—22no—
1358C24—22no—
1359C24—22no—
1360C24—22no—
1361C24—22no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—41no—
1367C24C2511yescharacteristic
1368C24C2512yes—
1369C24C2512yes—
1370C24C2512yes—
1371C24C2511yescharacteristic
1372C24C2511yescharacteristic
1373C24C2511yescharacteristic
1374C24C2511yescharacteristic
1375#41—464no—
1376#41—432no—
1377#41—432no—
1378#41—416no—
1379#41—416no—
1380#41—416no—
1381C2×Q8—232no—
1382C2×Q8—22no—
1383C2×Q8—28no—
1384C2×Q8—28no—
1385C2×Q8—24no—
1386C2×Q8—24no—
1387C2×Q8—28no—
1388C2×Q8—22no—
1389C2×Q8—22no—
1390C2×Q8—28no—
1391C2×Q8—24no—
1392C2×Q8—24no—
1393C2×Q8—24no—
1394C2×Q8—24no—
1395C2×Q8—22no—
1396C2×Q8—24no—
1397C2×Q8—24no—
1398C2×Q8—24no—
1399C2×Q8—22no—
1400C2×Q8—22no—
1401C2×Q8—22no—
1402C2×Q8—22no—
1403C2×Q8—24no—
1404C2×Q8—22no—
1405C2×Q8—44no—
1406C2×Q8—44no—
1407C2×Q8—44no—
1408C2×Q8—44no—
1409C2×Q8—44no—
1410C2×Q8—44no—
1411C2×Q8—44no—
1412C2×Q8—44no—
1413C2×Q8—432no—
1414C2×Q8—432no—
1415C2×Q8—432no—
1416C2×Q8—432no—
1417C2×Q8—432no—
1418C2×Q8—432no—
1419C2×Q8—432no—
1420C2×Q8—416no—
1421C2×Q8C22×D418yes—
1422C2×Q8C22×D418yes—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—22no—
1436C2×D4—22no—
1437C2×D4—24no—
1438C2×D4—22no—
1439C2×D4—24no—
1440C2×D4—22no—
1441C2×D4—24no—
1442C2×D4—24no—
1443C2×D4—24no—
1444C2×D4—24no—
1445C2×D4—24no—
1446C2×D4—24no—
1447C2×D4—24no—
1448C2×D4—24no—
1449C2×D4—24no—
1450C2×D4—22no—
1451C2×D4—28no—
1452C2×D4—22no—
1453C2×D4—22no—
1454C2×D4—24no—
1455C2×D4—22no—
1456C2×D4—22no—
1457C2×D4—22no—
1458C2×D4—22no—
1459C2×D4—22no—
1460C2×D4—22no—
1461C2×D4—22no—
1462C2×D4—24no—
1463C2×D4—41no—
1464C2×D4—41no—
1465C2×D4—41no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—42no—
1470C2×D4—42no—
1471C2×D4—42no—
1472C2×D4—42no—
1473C2×D4—42no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—42no—
1477C2×D4—42no—
1478C2×D4—42no—
1479C2×D4—42no—
1480C2×D4—42no—
1481C2×D4—42no—
1482C2×D4—42no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—42no—
1486C2×D4—42no—
1487C2×D4—42no—
1488C2×D4—42no—
1489C2×D4—42no—
1490C2×D4—42no—
1491C2×D4—42no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—42no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—416no—
1501C2×D42−1+414yescomplemented
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—22no—
1505C22×C4—22no—
1506C22×C4—24no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—22no—
1510C22×C4—24no—
1511C22×C4—22no—
1512C22×C4—22no—
1513C22×C4—24no—
1514C22×C4—24no—
1515C22×C4—24no—
1516C22×C4—22no—
1517C22×C4—24no—
1518C22×C4—22no—
1519C22×C4—24no—
1520C22×C4—22no—
1521C22×C4—24no—
1522C22×C4—22no—
1523C22×C4—22no—
1524C22×C4—28no—
1525C22×C4—28no—
1526C22×C4—22no—
1527C22×C4—22no—
1528C22×C4—22no—
1529C22×C4—22no—
1530C22×C4—28no—
1531C22×C4—28no—
1532C22×C4—24no—
1533C22×C4—24no—
1534C22×C4—22no—
1535C22×C4—22no—
1536C22×C4—22no—
1537C22×C4—22no—
1538C22×C4—24no—
1539C22×C4—22no—
1540C22×C4—22no—
1541C22×C4—24no—
1542C22×C4—22no—
1543C22×C4—22no—
1544C22×C4—22no—
1545C22×C4—22no—
1546C22×C4—22no—
1547C22×C4—22no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—24no—
1551C22×C4—22no—
1552C22×C4—22no—
1553C22×C4—22no—
1554C22×C4—22no—
1555C22×C4—24no—
1556C22×C4—22no—
1557C22×C4—24no—
1558C22×C4—28no—
1559C22×C4—44no—
1560C22×C4—44no—
1561C22×C4—44no—
1562C22×C4—44no—
1563C22×C4—42no—
1564C22×C4—41no—
1565C22×C4—44no—
1566C22×C4—44no—
1567C22×C4—44no—
1568C22×C4—44no—
1569C22×C4—42no—
1570C22×C4—42no—
1571C22×C4—44no—
1572C22×C4—42no—
1573C22×C4—44no—
1574C22×C4—42no—
1575C22×C4—41no—
1576C22×C4—41no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—432no—
1580C22×C4—416no—
1581C22×C4—416no—
1582C22×C4C22×D418yes—
1583C22×C4C22×D414yes—
1584C22×C4H(5,𝔽2)14yes—
1585C22×C4H(5,𝔽2)14yes—
1586C22×C4C2512yes—
1587C22×C4C2511yescharacteristic
1588C22×C4C2511yescharacteristic
1589C22×C4C2511yescharacteristic
1590C22×C4C2512yes—
1591C22×C4C2512yes—
1592C22×C4C2512yes—
1593C22×C4C2514yes—
1594C22×C4C2512yes—
1595C22×C4C2512yes—
1596C22×C4C2514yes—
1597C22×C4C2511yescharacteristic
1598C22×C4C2511yescharacteristic
1599C22×C4C2514yes—
1600C22×C4C2512yes—
1601C22×C4C2512yes—
1602C22×C4C2511yescharacteristic
1603C22×C4C2512yes—
1604C22×C4C2511yescharacteristic
1605C22×C4C2514yes—
1606C22×C4C2512yes—
1607C22×C4C2512yes—
1608C22×C4C2512yes—
1609C22×C4C2512yes—
1610C22×C4C2511yescharacteristic
1611C22×C4C2511yescharacteristic
1612C22×C4C2511yescharacteristic
1613C4⋊C4—24no—
1614C4⋊C4—22no—
1615C4⋊C4—24no—
1616C4⋊C4—22no—
1617C4⋊C4—24no—
1618C4⋊C4—28no—
1619C4⋊C4—24no—
1620C4⋊C4—28no—
1621C4⋊C4—28no—
1622C4⋊C4—28no—
1623C4⋊C4—28no—
1624C4⋊C4—28no—
1625C4⋊C4—24no—
1626C4⋊C4—28no—
1627C4⋊C4—24no—
1628C4⋊C4—28no—
1629C4⋊C4—24no—
1630C4⋊C4—24no—
1631C4⋊C4—28no—
1632C4⋊C4—24no—
1633C4⋊C4—28no—
1634C4⋊C4—24no—
1635C4⋊C4—28no—
1636C4⋊C4—28no—
1637C4⋊C4—24no—
1638C4⋊C4—24no—
1639C4⋊C4—22no—
1640C4⋊C4—22no—
1641C4⋊C4—22no—
1642C4⋊C4—22no—
1643C4⋊C4—24no—
1644C4⋊C4—41no—
1645C4⋊C4—41no—
1646C4⋊C4—41no—
1647C4⋊C4—41no—
1648C4⋊C4—44no—
1649C4⋊C4—44no—
1650C4⋊C4—42no—
1651C4⋊C4—44no—
1652C4⋊C4—42no—
1653C4⋊C4—42no—
1654C4⋊C4—42no—
1655C4⋊C4—42no—
1656C4⋊C4—42no—
1657C4⋊C4—42no—
1658C4⋊C4—42no—
1659C4⋊C4—42no—
1660C4⋊C4—42no—
1661C4⋊C4—42no—
1662C4⋊C4—44no—
1663C4⋊C4—44no—
1664C4⋊C4—44no—
1665C4⋊C4—44no—
1666C4⋊C4C22×D414yes—
1667C4⋊C4C22×D414yes—
1668C4⋊C4C22×D414yes—
1669C4⋊C4C22×D414yes—
1670C4⋊C4C22×D4116yes—
1671C4⋊C4C22×D4116yes—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—24no—
1675C22⋊C4—24no—
1676C22⋊C4—28no—
1677C22⋊C4—24no—
1678C22⋊C4—24no—
1679C22⋊C4—24no—
1680C22⋊C4—28no—
1681C22⋊C4—28no—
1682C22⋊C4—24no—
1683C22⋊C4—24no—
1684C22⋊C4—28no—
1685C22⋊C4—28no—
1686C22⋊C4—24no—
1687C22⋊C4—24no—
1688C22⋊C4—24no—
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—28no—
1692C22⋊C4—24no—
1693C22⋊C4—28no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—28no—
1697C22⋊C4—24no—
1698C22⋊C4—28no—
1699C22⋊C4—24no—
1700C22⋊C4—28no—
1701C22⋊C4—24no—
1702C22⋊C4—44no—
1703C22⋊C4—41no—
1704C22⋊C4—41no—
1705C22⋊C4—41no—
1706C22⋊C4—41no—
1707C22⋊C4—41no—
1708C22⋊C4—41no—
1709C22⋊C4—41no—
1710C22⋊C4—41no—
1711C22⋊C4—44no—
1712C22⋊C4—44no—
1713C22⋊C4—42no—
1714C22⋊C4—42no—
1715C22⋊C4—44no—
1716C22⋊C4—44no—
1717C22⋊C4—44no—
1718C22⋊C4—42no—
1719C22⋊C4—42no—
1720C22⋊C4—42no—
1721C22⋊C4—42no—
1722C22⋊C4—42no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4—42no—
1726C22⋊C4—42no—
1727C22⋊C4—42no—
1728C22⋊C4—42no—
1729C22⋊C4—42no—
1730C22⋊C4—42no—
1731C22⋊C4—42no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—44no—
1737C22⋊C4—42no—
1738C22⋊C4—44no—
1739C22⋊C4—44no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4C22×D418yes—
1745C22⋊C4C22×D418yes—
1746C42—24no—
1747C42—24no—
1748C42—24no—
1749C42—28no—
1750C42—22no—
1751C42—22no—
1752C42—22no—
1753C42—22no—
1754C42—24no—
1755C42—24no—
1756C42—24no—
1757C42—42no—
1758C42—44no—
1759C42—42no—
1760C42—44no—
1761C42—42no—
1762C42C22×D418yes—
1763C42C22×D4116yes—
1764C42C22×D4116yes—
1765C42C22×D418yes—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—28no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—21no—
1778C23—21no—
1779C23—21no—
1780C23—21no—
1781C23—21no—
1782C23—21no—
1783C23—21no—
1784C23—21no—
1785C23—21no—
1786C23—21no—
1787C23—21no—
1788C23—21no—
1789C23—21no—
1790C23—22no—
1791C23—22no—
1792C23—22no—
1793C23—21no—
1794C23—22no—
1795C23—21no—
1796C23—22no—
1797C23—22no—
1798C23—22no—
1799C23—22no—
1800C23—22no—
1801C23—22no—
1802C23—22no—
1803C23—22no—
1804C23—21no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—21no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—21no—
1816C23—21no—
1817C23—44no—
1818C23—44no—
1819C23—44no—
1820C23—44no—
1821C23—44no—
1822C23—44no—
1823C23—44no—
1824C23—44no—
1825C23—44no—
1826C23—44no—
1827C23—82no—
1828C23—82no—
1829C23—82no—
1830C23C23×D412yes—
1831C23C2×H(5,𝔽2)12yes—
1832C23C2×H(5,𝔽2)12yes—
1833C23C2×2−1+412yes—
1834C23C2×2−1+412yes—
1835C23#58512yes—
1836C23C2611yescharacteristic
1837Q8—216no—
1838Q8—216no—
1839Q8—416no—
1840Q8—416no—
1841Q8—416no—
1842Q8—48no—
1843Q8—48no—
1844Q8—44no—
1845Q8—44no—
1846Q8—44no—
1847Q8—88no—
1848D4—44no—
1849D4—48no—
1850D4—48no—
1851D4—48no—
1852D4—48no—
1853D4—48no—
1854D4—44no—
1855D4—416no—
1856D4—44no—
1857D4—44no—
1858D4—48no—
1859D4—48no—
1860D4—48no—
1861D4—44no—
1862D4—44no—
1863D4—44no—
1864D4—84no—
1865D4—84no—
1866D4—84no—
1867D4—84no—
1868D4—84no—
1869D4—84no—
1870D4—84no—
1871D4—84no—
1872D4—84no—
1873D4—164no—
1874C2×C4—21no—
1875C2×C4—24no—
1876C2×C4—24no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—22no—
1880C2×C4—21no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—216no—
1887C2×C4—21no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—24no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—24no—
1895C2×C4—21no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—22no—
1905C2×C4—24no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—22no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—24no—
1921C2×C4—24no—
1922C2×C4—22no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—21no—
1926C2×C4—22no—
1927C2×C4—24no—
1928C2×C4—22no—
1929C2×C4—24no—
1930C2×C4—22no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—22no—
1936C2×C4—24no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—24no—
1941C2×C4—21no—
1942C2×C4—22no—
1943C2×C4—21no—
1944C2×C4—48no—
1945C2×C4—44no—
1946C2×C4—416no—
1947C2×C4—416no—
1948C2×C4—416no—
1949C2×C4—416no—
1950C2×C4—44no—
1951C2×C4—44no—
1952C2×C4—48no—
1953C2×C4—44no—
1954C2×C4—44no—
1955C2×C4—44no—
1956C2×C4—44no—
1957C2×C4—44no—
1958C2×C4—44no—
1959C2×C4—44no—
1960C2×C4—44no—
1961C2×C4—48no—
1962C2×C4—48no—
1963C2×C4—48no—
1964C2×C4—88no—
1965C2×C4—84no—
1966C2×C4—84no—
1967C2×C4—82no—
1968C2×C4—84no—
1969C2×C4#535116yes—
1970C2×C4C23×D414yes—
1971C2×C4C23×D414yes—
1972C2×C4C23×D414yes—
1973C2×C4C23×D414yes—
1974C2×C4C23×D418yes—
1975C2×C4C23×D412yes—
1976C2×C4C23×D412yes—
1977C2×C4C2×H(5,𝔽2)12yes—
1978C2×C4C2×H(5,𝔽2)12yes—
1979C2×C4C2×H(5,𝔽2)12yes—
1980C2×C4C2×H(5,𝔽2)12yes—
1981C2×C4C2×2−1+412yes—
1982C22—22no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—22no—
1996C22—22no—
1997C22—416no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—41no—
2005C22—41no—
2006C22—41no—
2007C22—41no—
2008C22—41no—
2009C22—41no—
2010C22—42no—
2011C22—42no—
2012C22—42no—
2013C22—41no—
2014C22—42no—
2015C22—42no—
2016C22—42no—
2017C22—41no—
2018C22—41no—
2019C22—42no—
2020C22—42no—
2021C22—42no—
2022C22—41no—
2023C22—42no—
2024C22—42no—
2025C22—42no—
2026C22—42no—
2027C22—42no—
2028C22—41no—
2029C22—42no—
2030C22—42no—
2031C22—42no—
2032C22—42no—
2033C22—41no—
2034C22—41no—
2035C22—42no—
2036C22—42no—
2037C22—42no—
2038C22—88no—
2039C22C2×#53514yes—
2040C22C24×D411yescharacteristic
2041C22C22×H(5,𝔽2)11yescharacteristic
2042C22C22×H(5,𝔽2)11yescharacteristic
2043C22C22×2−1+411yescharacteristic
2044C22C2×#58511yescharacteristic
2045C222−1+611yescharacteristic
2046C222−1+611yescharacteristic
2047C4—24no—
2048C4—24no—
2049C4—24no—
2050C4—24no—
2051C4—22no—
2052C4—28no—
2053C4—42no—
2054C4—44no—
2055C4—42no—
2056C4—41no—
2057C4—42no—
2058C4—41no—
2059C4—41no—
2060C4—42no—
2061C4—41no—
2062C4—41no—
2063C4—42no—
2064C4—42no—
2065C4—41no—
2066C4—41no—
2067C4—44no—
2068C4—42no—
2069C4—42no—
2070C4—44no—
2071C4—42no—
2072C4C2×#53514yes—
2073C4C2×#53514yes—
2074C2—24no—
2075C2—42no—
2076C2—42no—
2077C2—42no—
2078C2—82no—
2079C2—82no—
2080C2—82no—
2081C2—81no—
2082C2C22×#53511yescharacteristic
2083C2#6281911yescharacteristic
2084C2#6288611yescharacteristic
2085C2#6294211yescharacteristic
2086C2#6295411yescharacteristic
2087C2D4×2−1+411yescharacteristic
2088C2#6300211yescharacteristic
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×#3495C2semidirect
2. C2×#3486C2semidirect
3. #42887C2semidirect
4. #42810C2semidirect
5. #42808C2semidirect
6. #42808C2semidirect
7. #42805C2semidirect
8. #42800C2semidirect
9. #42792C2semidirect
10. #42788C2semidirect
11. #42297C2semidirect
12. #42296C2semidirect
13. #39950C2semidirect
14. #39950C2semidirect
15. #39858C2semidirect
16. #39854C2semidirect
17. #39618C2semidirect
18. #39596C2semidirect
19. #39167C2semidirect
20. #39124C2semidirect
21. #38367C2semidirect
22. #38366C2semidirect
23. #35660C2semidirect
24. #35659C2semidirect
25. #35634C2semidirect
26. #35621C2semidirect
27. #35542C2semidirect
28. #35518C2semidirect
29. #35312C2semidirect
30. #35306C2semidirect
31. #35242C2semidirect
32. #34936C2semidirect
33. #34737C2semidirect
34. C2×#2409C2semidirect
35. #34254C2semidirect
40. C2×#556C22semidirect
41. C2×#554C22semidirect
43. C2×#552C22semidirect
44. C2×#552C22semidirect
46. C2×D4×Q8C22semidirect
47. C2×D4×Q8C22semidirect
48. C2×D4×Q8C22semidirect
49. C2×D4×Q8C22semidirect
50. C2×#548C22semidirect
51. C2×#548C22semidirect
52. C2×#548C22semidirect
53. C2×#548C22semidirect
55. C2×#542C22semidirect
56. C2×#541C22semidirect
63. C2×#533C22semidirect
65. C2×#529C22semidirect
79. #2862C22semidirect
80. #2861C22semidirect
81. #2857C22semidirect
82. #2850C22semidirect
84. #2821C22semidirect
85. #2821C22semidirect
86. #2820C22semidirect
87. #2819C22semidirect
89. #2723C22semidirect
90. #2723C22semidirect
91. #2723C22semidirect
92. #2723C22semidirect
93. #2723C22semidirect
94. #2720C22semidirect
95. #2720C22semidirect
96. #2720C22semidirect
97. #2720C22semidirect
98. #2720C22semidirect
99. #2720C22semidirect
101. #2714C22semidirect
102. #2711C22semidirect
103. #2711C22semidirect
106. #2696C22semidirect
107. #2696C22semidirect
108. #2696C22semidirect
109. #2696C22semidirect
111. #2692C22semidirect
112. #2692C22semidirect
113. #2692C22semidirect
114. #2692C22semidirect
115. #2692C22semidirect
117. #2676C22semidirect
120. #2662C22semidirect
121. #2662C22semidirect
122. #2660C22semidirect
123. #2642C22semidirect
124. #2640C22semidirect
125. #2640C22semidirect
127. #2636C22semidirect
128. #2633C22semidirect
129. #2632C22semidirect
131. #2631C22semidirect
132. #2628C22semidirect
133. #2628C22semidirect
134. #2621C22semidirect
135. #2620C22semidirect
137. #2610C22semidirect
138. #2610C22semidirect
140. #2603C22semidirect
142. #2598C22semidirect
143. #2580C22semidirect
144. #2567C22semidirect
145. #2566C22semidirect
146. #2563C22semidirect
147. #2563C22semidirect
148. #2562C22semidirect
149. #2562C22semidirect
150. #2547C22semidirect
151. #2547C22semidirect
152. #2546C22semidirect
153. #2545C22semidirect
155. #2544C22semidirect
158. #2542C22semidirect
159. #2542C22semidirect
160. #2542C22semidirect
161. #2542C22semidirect
168. #2540C22semidirect
169. #2540C22semidirect
170. #2540C22semidirect
171. #2540C22semidirect
175. #2538C22semidirect
176. #2537C22semidirect
177. #2536C22semidirect
179. #2535C22semidirect
182. #2492C22semidirect
183. #2492C22semidirect
184. #2492C22semidirect
185. #2491C22semidirect
186. #2490C22semidirect
187. #2489C22semidirect
188. #2489C22semidirect
189. #2489C22semidirect
194. #2436C22semidirect
195. #2436C22semidirect
196. #2436C22semidirect
197. #2434C22semidirect
198. #2434C22semidirect
199. #2434C22semidirect
201. #2432C22semidirect
202. #2431C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
214. #2417C22semidirect
215. #2417C22semidirect
218. #2416C22semidirect
221. #2415C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
225. #2415C22semidirect
228. #2414C22semidirect
243. #2409C22semidirect
244. #2409C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
249. #2409C22semidirect
250. #2409C22semidirect
251. #2409C22semidirect
252. #2409C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
267. #2356C22semidirect
268. #2356C22semidirect
269. #2355C22semidirect
270. #2355C22semidirect
274. #2326C22semidirect
276. #2324C22semidirect
277. #2320C22semidirect
278. #2320C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
472. #519D4semidirect
1094. C4×Q8C2×D4semidirect
1095. C4×Q8C2×D4semidirect
1096. C4×Q8C2×D4semidirect
1097. C4×Q8C2×D4semidirect
1501. C2×D42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C2×#34862
#428872
#428102
#428082
#428052
#428002
#427922
#427882
#422972
#422962
#399502
#398582
#398542
#396182
#395962
#391672
#391242
#383672
#383662
#356602
#356592
#356342
#356212
#355422
#355182
#353122
#353062
#352422
#349362
#347372
C2×#24092
#342542