Finite Group Databasebeta

← #7656371

Subgroups — #7656371

Order 512.

6874 conjugacy classes of subgroups.

The subgroup lattice has 1865 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C211yesmaximal, characteristic
2C2×#3501C211yesmaximal, characteristic, complemented
3#42651C211yesmaximal, characteristic, complemented
4#42647C211yesmaximal, characteristic, complemented
5#42644C212yesmaximal, complemented
6#42431C211yesmaximal, characteristic, complemented
7#42427C211yesmaximal, characteristic, complemented
8#42423C212yesmaximal, complemented
9#41374C212yesmaximal, complemented
10#41370C212yesmaximal, complemented
11#40511C214yesmaximal, complemented
12#40495C212yesmaximal, complemented
13#40491C212yesmaximal, complemented
14#40487C214yesmaximal, complemented
15#39952C212yesmaximal, complemented
16#39949C212yesmaximal, complemented
17#38422C214yesmaximal, complemented
18#38421C214yesmaximal, complemented
19#37560C211yesmaximal, characteristic, complemented
20#37551C211yesmaximal, characteristic, complemented
21#37441C212yesmaximal, complemented
22#37438C212yesmaximal, complemented
23#36261C212yesmaximal, complemented
24#36238C212yesmaximal, complemented
25#36031C211yesmaximal, characteristic, complemented
26#35836C211yesmaximal, characteristic, complemented
27#35791C212yesmaximal, complemented
28#35739C211yesmaximal, characteristic, complemented
29#35713C212yesmaximal, complemented
30#35702C211yesmaximal, characteristic, complemented
31#35201C211yesmaximal, characteristic, complemented
32#35085C212yesmaximal, complemented
33#34631C211yesmaximal, characteristic, complemented
34C2×#2663C212yesmaximal, complemented
35#34126C211yesmaximal, characteristic, complemented
36#3513—216no—
37#3501—216no—
38C2×#559C2211yescharacteristic
39C2×#554C2212yes—
40C2×#554C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#554C2212yescomplemented
43C2×#554C2214yescomplemented
44C2×#554C2211yescharacteristic, complemented
45C2×#554C2212yescomplemented
46C2×#553C2211yescharacteristic
47C2×#553C2212yes—
48C2×#552C2211yescharacteristic
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2212yescomplemented
53C2×D4×Q8C2211yescharacteristic, complemented
54C2×#547C2211yescharacteristic
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#544C2212yescomplemented
60C2×#543C2214yescomplemented
61C2×#542C2211yescharacteristic
62C2×#540C2211yescharacteristic
63C2×#539C2212yes—
64C2×#538C2212yes—
65C2×#533C2211yescharacteristic, complemented
66C2×#533C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#525C2212yes—
70C22×#123C2212yes—
71C22×C22⋊Q8C2212yescomplemented
72C22×C22⋊Q8C2212yescomplemented
73C2×#520C2211yescharacteristic
74C2×#518C2212yes—
75C2×#518C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2861C2212yescomplemented
78#2859C2212yescomplemented
79#2857C2214yescomplemented
80#2850C2214yescomplemented
81#2821C2212yescomplemented
82#2821C2212yescomplemented
83#2817C2212yescomplemented
84#2817C2212yescomplemented
85#2817C2212yescomplemented
86#2816C2212yes—
87#2816C2212yescomplemented
88#2816C2212yescomplemented
89#2814C2214yes—
90#2814C2214yescomplemented
91#2721C2214yescomplemented
92#2719C2214yescomplemented
93#2716C2214yescomplemented
94#2713C2214yescomplemented
95#2700C2214yescomplemented
96#2700C2214yescomplemented
97#2698C2214yescomplemented
98#2698C2214yescomplemented
99#2694C2214yescomplemented
100#2690C2214yescomplemented
101#2689C2214yescomplemented
102#2689C2214yescomplemented
103#2687C2214yescomplemented
104#2687C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2680C2214yescomplemented
109#2677C2214yescomplemented
110#2674C2214yescomplemented
111#2674C2214yescomplemented
112#2674C2214yescomplemented
113#2672C2214yescomplemented
114#2672C2214yescomplemented
115#2664C2212yescomplemented
116#2664C2212yescomplemented
117#2663C2211yescharacteristic
118#2663C2214yes—
119#2663C2212yes—
120#2663C2211yescharacteristic
121#2663C2211yescharacteristic, complemented
122#2663C2212yescomplemented
123#2663C2212yescomplemented
124#2663C2212yescomplemented
125#2663C2214yescomplemented
126#2663C2214yescomplemented
127#2663C2212yescomplemented
128#2663C2212yescomplemented
129#2663C2212yescomplemented
130#2663C2214yescomplemented
131#2663C2212yescomplemented
132#2663C2212yescomplemented
133#2663C2211yescharacteristic, complemented
134#2663C2212yescomplemented
135#2660C2211yescharacteristic, complemented
136#2658C2211yescharacteristic, complemented
137#2642C2211yescharacteristic, complemented
138#2640C2211yescharacteristic, complemented
139#2638C2214yescomplemented
140#2634C2212yescomplemented
141#2632C2212yescomplemented
142#2628C2211yescharacteristic, complemented
143#2628C2211yescharacteristic, complemented
144#2628C2211yescharacteristic, complemented
145#2628C2211yescharacteristic, complemented
146#2627C2212yescomplemented
147#2627C2212yescomplemented
148#2626C2212yescomplemented
149#2626C2212yescomplemented
150#2625C2214yescomplemented
151#2625C2212yescomplemented
152#2624C2212yes—
153#2623C2212yescomplemented
154#2623C2212yescomplemented
155#2622C2214yes—
156#2622C2214yescomplemented
157#2621C2212yescomplemented
158#2620C2212yes—
159#2616C2214yescomplemented
160#2614C2212yescomplemented
161#2614C2212yescomplemented
162#2611C2214yescomplemented
163#2604C2212yescomplemented
164#2604C2212yescomplemented
165#2604C2212yescomplemented
166#2604C2212yescomplemented
167#2592C2212yescomplemented
168#2591C2214yescomplemented
169#2584C2212yescomplemented
170#2584C2212yescomplemented
171#2583C2214yescomplemented
172#2583C2214yescomplemented
173#2581C2211yescharacteristic, complemented
174#2581C2211yescharacteristic, complemented
175#2580C2211yescharacteristic, complemented
176#2580C2211yescharacteristic, complemented
177#2568C2211yescharacteristic, complemented
178#2567C2211yescharacteristic, complemented
179#2564C2212yescomplemented
180#2564C2212yescomplemented
181#2564C2212yescomplemented
182#2564C2212yescomplemented
183#2563C2211yescharacteristic, complemented
184#2562C2212yescomplemented
185#2561C2214yescomplemented
186#2552C2212yescomplemented
187#2551C2212yescomplemented
188#2550C2212yescomplemented
189#2550C2212yescomplemented
190#2549C2214yescomplemented
191#2549C2214yescomplemented
192#2542C2211yescharacteristic, complemented
193#2503C2212yescomplemented
194#2501C2212yescomplemented
195#2500C2212yes—
196#2499C2214yescomplemented
197#2499C2212yescomplemented
198#2492C2212yescomplemented
199#2491C2212yescomplemented
200#2490C2212yescomplemented
201#2489C2212yescomplemented
202#2488C2214yescomplemented
203#2488C2214yescomplemented
204#2487C2212yescomplemented
205#2487C2212yescomplemented
206#2485C2212yes—
207#2485C2212yescomplemented
208#2483C2214yescomplemented
209#2472C2214yescomplemented
210#2472C2214yescomplemented
211#2454C2212yescomplemented
212#2453C2212yescomplemented
213#2452C2212yescomplemented
214#2451C2212yescomplemented
215#2450C2214yescomplemented
216#2450C2214yescomplemented
217#2449C2214yescomplemented
218#2449C2214yescomplemented
219#2447C2212yescomplemented
220#2447C2212yescomplemented
221#2445C2212yes—
222#2445C2212yes—
223#2444C2214yes—
224#2444C2214yescomplemented
225#2443C2214yes—
226#2443C2214yescomplemented
227#2442C2212yescomplemented
228#2441C2212yescomplemented
229#2440C2212yescomplemented
230#2440C2214yescomplemented
231#2440C2214yescomplemented
232#2439C2212yescomplemented
233#2438C2214yescomplemented
234#2438C2214yescomplemented
235#2437C2214yescomplemented
236#2437C2214yescomplemented
237#2436C2212yescomplemented
238#2434C2212yescomplemented
239#2432C2214yescomplemented
240#2422C2212yes—
241#2422C2212yescomplemented
242#2420C2212yes—
243#2420C2212yescomplemented
244#2419C2214yescomplemented
245#2419C2214yescomplemented
246#2418C2214yes—
247#2418C2214yes—
248#2415C2214yescomplemented
249#2415C2214yescomplemented
250#2415C2214yescomplemented
251#2413C2214yescomplemented
252#2413C2214yescomplemented
253#2412C2214yes—
254#2412C2214yescomplemented
255#2409C2212yescomplemented
256#2409C2212yescomplemented
257#2405C2214yes—
258#2396C2211yescharacteristic, complemented
259#2396C2211yescharacteristic, complemented
260#2396C2211yescharacteristic, complemented
261#2396C2211yescharacteristic, complemented
262#2395C2212yes—
263#2395C2212yescomplemented
264C2×#400C2212yescomplemented
265C2×#399C2212yescomplemented
266C2×#397C2214yescomplemented
267C2×#395C2212yescomplemented
268C2×#394C2214yes—
269C2×#393C2212yescomplemented
270#2357C2211yescharacteristic, complemented
271#2357C2211yescharacteristic, complemented
272#2353C2212yescomplemented
273#2353C2212yescomplemented
274#2349C2211yescharacteristic
275#2349C2211yescharacteristic
276#2349C2212yes—
277#2349C2212yes—
278D4×C4⋊C4C2212yes—
279D4×C4⋊C4C2212yes—
280#2345C2212yescomplemented
281#2342C2214yescomplemented
282#2339C2212yes—
283#2339C2212yes—
284D4×C22⋊C4C2212yes—
285D4×C22⋊C4C2212yes—
286D4×C22⋊C4C2212yes—
287#2323C2214yescomplemented
288#2322C2214yescomplemented
289#2322C2214yescomplemented
290C4×C4⋊Q8C2212yescomplemented
291C4×#124C2212yescomplemented
292#2293C2212yescomplemented
293C2×#389C2214yescomplemented
294#2290C2214yescomplemented
295C2×#388C2214yescomplemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C42×D4C2212yes—
299C4×#117C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C23×D4C2311yescharacteristic
307C23×D4C2312yes—
308C24×C4C2312yes—
309#559—28no—
310#554—216no—
311#554—28no—
312#554—28no—
313#554—232no—
314#554—216no—
315#554—216no—
316#554—28no—
317#553—216no—
318#553—28no—
319#552—28no—
320#551—216no—
321#551—216no—
322D4×Q8—28no—
323D4×Q8—216no—
324D4×Q8—28no—
325#547—28no—
326#546—28no—
327#546—28no—
328#546—216no—
329D42—28no—
330#544—216no—
331#543—232no—
332#542—28no—
333#540—28no—
334#539—216no—
335#538—216no—
336#533—28no—
337#533—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2314yes—
348C2×#127C2311yescharacteristic
349#529—28no—
350#529—28no—
351C2×#126C2312yes—
352C2×#126C2311yescharacteristic
353C2×#126C2311yescharacteristic
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#124C2311yescharacteristic
367C2×#124C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2314yes—
373#525—216no—
374C2×#123—216no—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2311yescharacteristic
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2311yescharacteristic
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×C22⋊Q8—216no—
394C2×C22⋊Q8—216no—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2314yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2312yes—
442#520—28no—
443#518—216no—
444#518—28no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×D4D4116yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2314yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2311yescharacteristic
486C2×#117C2311yescharacteristic
487C2×#117C2312yes—
488C2×#117C2311yescharacteristic
489C2×#117C2312yes—
490C2×#117C2312yes—
491C2×#117C2314yes—
492C22×C4⋊C4C2314yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2314yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C4⋊C4C2311yescharacteristic
499C22×C4⋊C4C2314yes—
500C22×C4⋊C4C2314yes—
501C22×C4⋊C4C2311yescharacteristic
502C22×C22⋊C4C2312yes—
503C22×C22⋊C4C2314yes—
504C22×C22⋊C4C2312yes—
505C22×C22⋊C4C2312yes—
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2312yes—
508C22×C22⋊C4C2314yes—
509C22×C22⋊C4C2314yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2312yes—
512C22×C42C2314yes—
513C22×C42C2311yescharacteristic
514#400C2311yescharacteristic
515#400C2314yes—
516#400C2312yes—
517#400C2312yes—
518#400C2312yes—
519#400C2314yes—
520#400C2314yes—
521#400C2312yes—
522#400C2312yes—
523#400C2311yescharacteristic
524#400C2312yes—
525#400C2312yes—
526#400C2314yes—
527#400C2311yescharacteristic
528#400C2312yes—
529#400C2311yescharacteristic
530#400C2312yes—
531#400C2312yes—
532#400C2314yes—
533#400C2314yes—
534#399C2312yes—
535#399C2312yes—
536#399C2311yescharacteristic
537#399C2312yes—
538#399C2312yes—
539#399C2312yes—
540#399C2311yescharacteristic
541#399C2312yes—
542#399C2312yes—
543#399C2314yes—
544#399C2311yescharacteristic
545#399C2312yes—
546#399C2311yescharacteristic
547#399C2314yes—
548#399C2314yes—
549#399C2312yes—
550#399C2312yes—
551#398C2314yes—
552#398C2314yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2314yes—
557#398C2314yes—
558#398C2312yes—
559#398C2312yes—
560#398C2312yes—
561#398C2312yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#398C2314yes—
566#398C2312yes—
567#398C2312yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#397C2312yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2314yes—
583#397C2314yes—
584#397C2314yes—
585#397C2312yes—
586#397C2312yes—
587#397C2314yes—
588#397C2314yes—
589#397C2314yes—
590#397C2314yes—
591#397C2314yes—
592#396C2312yes—
593#396C2312yes—
594#396C2312yes—
595#396C2312yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2314yes—
600#395C2311yescharacteristic
601#395C2312yes—
602#395C2312yes—
603#395C2312yes—
604#395C2314yes—
605#395C2314yes—
606#395C2314yes—
607#395C2312yes—
608#395C2312yes—
609#395C2311yescharacteristic
610#395C2312yes—
611#395C2312yes—
612#395C2314yes—
613#395C2314yes—
614#395C2314yes—
615#395C2311yescharacteristic
616#395C2312yes—
617#395C2311yescharacteristic
618#395C2314yes—
619#395C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2312yes—
630#394C2314yes—
631#394C2314yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#393C2312yes—
642#393C2312yes—
643#393C2311yescharacteristic
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2314yes—
648#393C2314yes—
649#393C2312yes—
650#393C2311yescharacteristic
651#393C2312yes—
652#393C2314yes—
653#393C2311yescharacteristic
654#393C2312yes—
655#393C2311yescharacteristic
656#393C2314yes—
657#393C2314yes—
658#391C2312yes—
659#391C2312yes—
660#391C2312yes—
661#391C2314yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2314yes—
666#391C2314yes—
667#391C2314yes—
668#391C2312yes—
669#391C2314yes—
670#391C2314yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2314yes—
678#390C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2314yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#389C2314yes—
701#389C2314yes—
702#389C2314yes—
703#389C2314yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
707#389C2314yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2312yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2312yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2314yes—
762#385C2314yes—
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#384C2312yes—
779#384C2312yes—
780#384C2314yes—
781#384C2312yes—
782#383C2312yes—
783#382C2312yes—
784#382C2312yes—
785#382C2311yescharacteristic
786#382C2311yescharacteristic
787#382C2314yes—
788#382C2312yes—
789#381C2312yes—
790#381C2312yes—
791#381C2312yes—
792#381C2314yes—
793#381C2314yes—
794#381C2314yes—
795#381C2314yes—
796#381C2314yes—
797#381C2314yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2312yes—
808#380C2314yes—
809#380C2312yes—
810#380C2312yes—
811#380C2314yes—
812#380C2314yes—
813#379C2314yes—
814#379C2314yes—
815#379C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843#376C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2314yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C43C2312yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—84no—
858C22×Q8—28no—
859C22×Q8—28no—
860C22×Q8—84no—
861C22×Q8—84no—
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2414yes—
870C22×Q8C2414yes—
871C22×Q8C2412yes—
872C22×D4—24no—
873C22×D4—24no—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—24no—
877C22×D4—24no—
878C22×D4—84no—
879C22×D4C2×D418yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C23×C4—84no—
896C23×C4C2×D4116yes—
897C23×C4C2412yes—
898C23×C4C2411yescharacteristic
899C23×C4C2411yescharacteristic
900C23×C4C2414yes—
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C4⋊Q8—24no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—216no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—24no—
926C4⋊Q8—24no—
927C4⋊Q8—44no—
928C4⋊Q8—84no—
929#127—24no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—24no—
935#126—24no—
936#125—28no—
937#125—24no—
938#125—28no—
939#125—28no—
940#125—216no—
941#125—24no—
942#125—24no—
943#125—28no—
944#125—28no—
945#124—24no—
946#124—28no—
947#124—28no—
948#124—24no—
949#124—24no—
950#124—44no—
951#124—84no—
952#123—28no—
953#123—24no—
954#123—28no—
955#123—28no—
956#123—28no—
957#123—28no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—24no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—48no—
967#123—48no—
968#123—84no—
969#123—84no—
970C22⋊Q8—24no—
971C22⋊Q8—28no—
972C22⋊Q8—24no—
973C22⋊Q8—216no—
974C22⋊Q8—216no—
975C22⋊Q8—28no—
976C22⋊Q8—28no—
977C22⋊Q8—28no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—28no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—216no—
994C22⋊Q8—216no—
995C22⋊Q8—216no—
996C22⋊Q8—216no—
997C22⋊Q8—216no—
998C22⋊Q8—216no—
999C22⋊Q8—48no—
1000C22⋊Q8—84no—
1001C22⋊Q8—84no—
1002#121—28no—
1003#121—28no—
1004#121—24no—
1005#121—24no—
1006#121—28no—
1007#121—28no—
1008#121—24no—
1009#121—24no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#120—28no—
1014#120—28no—
1015#120—28no—
1016#120—28no—
1017C4×Q8—24no—
1018C4×Q8—24no—
1019C4×Q8—24no—
1020C4×Q8—24no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—28no—
1024C4×Q8—28no—
1025C4×D4—24no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—216no—
1030C4×D4—28no—
1031C4×D4—28no—
1032C4×D4—24no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4C2×D418yes—
1048C4×D4C2×D4116yes—
1049C4×D4C2×D418yes—
1050C4×D4C2×D418yes—
1051C4×D4C2×D4116yes—
1052C4×D4C2×D418yes—
1053#117—28no—
1054#117—28no—
1055#117—28no—
1056#117—24no—
1057#117—28no—
1058#117—24no—
1059#117—24no—
1060#117—28no—
1061#117—44no—
1062#117—84no—
1063C2×C4⋊C4—28no—
1064C2×C4⋊C4—216no—
1065C2×C4⋊C4—216no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—28no—
1068C2×C4⋊C4—28no—
1069C2×C4⋊C4—24no—
1070C2×C4⋊C4—48no—
1071C2×C4⋊C4—84no—
1072C2×C4⋊C4C2×D418yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C22⋊C4—216no—
1146C2×C22⋊C4—216no—
1147C2×C22⋊C4—28no—
1148C2×C22⋊C4—28no—
1149C2×C22⋊C4—28no—
1150C2×C22⋊C4—28no—
1151C2×C22⋊C4—48no—
1152C2×C22⋊C4—48no—
1153C2×C22⋊C4—84no—
1154C2×C22⋊C4C2×D4116yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2411yescharacteristic
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C42—84no—
1221C2×C42C2×D418yes—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2414yes—
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2411yescharacteristic
1266#95C2411yescharacteristic
1267#95C2412yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299C24—24no—
1300C24—24no—
1301C24—24no—
1302C24—24no—
1303C24—24no—
1304C24—44no—
1305C24—44no—
1306C24—44no—
1307C24—44no—
1308C24C22×D418yes—
1309C24C2511yescharacteristic
1310C24C2512yes—
1311C24C2511yescharacteristic
1312C24C2511yescharacteristic
1313C24C2512yes—
1314C24C2512yes—
1315#41—416no—
1316#41—816no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—24no—
1323C2×Q8—22no—
1324C2×Q8—24no—
1325C2×Q8—28no—
1326C2×Q8—28no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—42no—
1330C2×Q8—44no—
1331C2×Q8—42no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—44no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—42no—
1338C2×Q8—42no—
1339C2×Q8—44no—
1340C2×Q8—44no—
1341C2×Q8—816no—
1342C2×Q8—816no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—232no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—24no—
1350C2×D4—22no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—42no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—416no—
1376C2×D4—816no—
1377C2×D4C22×D418yes—
1378C2×D4C22×D414yes—
1379C2×D4C22×D414yes—
1380C2×D42−1+414yes—
1381C2×D42−1+414yes—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—28no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—28no—
1390C22×C4—28no—
1391C22×C4—28no—
1392C22×C4—28no—
1393C22×C4—24no—
1394C22×C4—28no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—28no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—816no—
1429C22×C4C22×D414yes—
1430C22×C4C22×D414yes—
1431C22×C4C22×D414yes—
1432C22×C4C22×D418yes—
1433C22×C4C22×D418yes—
1434C22×C4C22×D418yes—
1435C22×C4C22×D418yes—
1436C22×C4C22×D418yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2514yes—
1442C22×C4C2514yes—
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2512yes—
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2512yes—
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—22no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—28no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—24no—
1496C4⋊C4—24no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—24no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—24no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—42no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—42no—
1535C4⋊C4C22×D414yes—
1536C4⋊C4C22×D414yes—
1537C4⋊C4C22×D418yes—
1538C22⋊C4—24no—
1539C22⋊C4—28no—
1540C22⋊C4—24no—
1541C22⋊C4—22no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—28no—
1547C22⋊C4—28no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—24no—
1557C22⋊C4—22no—
1558C22⋊C4—22no—
1559C22⋊C4—22no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—22no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—24no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—28no—
1575C22⋊C4—28no—
1576C22⋊C4—24no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4C22×D418yes—
1600C22⋊C4C22×D418yes—
1601C22⋊C4C22×D418yes—
1602C22⋊C4C22×D418yes—
1603C42—24no—
1604C42—24no—
1605C42—24no—
1606C42—22no—
1607C42—22no—
1608C42—28no—
1609C42—24no—
1610C42—24no—
1611C42—24no—
1612C42—24no—
1613C42—24no—
1614C42—42no—
1615C42—44no—
1616C42—44no—
1617C42—44no—
1618C42—42no—
1619C42—42no—
1620C42C22×D414yes—
1621C42C22×D414yes—
1622C42C22×D414yes—
1623C42C22×D414yes—
1624C23—24no—
1625C23—24no—
1626C23—21no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—24no—
1632C23—24no—
1633C23—22no—
1634C23—216no—
1635C23—21no—
1636C23—22no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—22no—
1643C23—22no—
1644C23—24no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—24no—
1649C23—22no—
1650C23—48no—
1651C23—48no—
1652C23—48no—
1653C23—88no—
1654C23—88no—
1655C23—84no—
1656C23—84no—
1657C23—88no—
1658C23—88no—
1659C23C23×D412yes—
1660C23C23×D414yes—
1661C23C23×D414yes—
1662C23C2×2−1+414yes—
1663C23C2×2−1+414yes—
1664C23C2611yescharacteristic
1665Q8—44no—
1666Q8—48no—
1667Q8—44no—
1668Q8—44no—
1669Q8—84no—
1670Q8—84no—
1671Q8—82no—
1672Q8—88no—
1673Q8—88no—
1674Q8—84no—
1675D4—216no—
1676D4—28no—
1677D4—44no—
1678D4—48no—
1679D4—44no—
1680D4—48no—
1681D4—48no—
1682D4—44no—
1683D4—82no—
1684D4—84no—
1685D4—84no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4#536116yes—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—28no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—24no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—44no—
1756C2×C4—48no—
1757C2×C4—48no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—416no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—84no—
1767C2×C4—84no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4—88no—
1771C2×C4—88no—
1772C2×C4—88no—
1773C2×C4—84no—
1774C2×C4—88no—
1775C2×C4—88no—
1776C2×C4C23×D412yes—
1777C2×C4C23×D412yes—
1778C2×C4C23×D414yes—
1779C2×C4C23×D412yes—
1780C2×C4C23×D412yes—
1781C2×C4C23×D412yes—
1782C2×C4C23×D414yes—
1783C2×C4C23×D412yes—
1784C2×C4C2×2−1+412yes—
1785C2×C4C2×2−1+412yes—
1786C2×C4#58514yes—
1787C22—24no—
1788C22—24no—
1789C22—28no—
1790C22—28no—
1791C22—22no—
1792C22—24no—
1793C22—22no—
1794C22—24no—
1795C22—22no—
1796C22—24no—
1797C22—44no—
1798C22—42no—
1799C22—44no—
1800C22—42no—
1801C22—42no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—42no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—42no—
1810C22—42no—
1811C22—44no—
1812C22—42no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—816no—
1817C22—168no—
1818C22C2×#53618yes—
1819C22C24×D411yescharacteristic
1820C22C22×2−1+411yescharacteristic
1821C22C22×2−1+411yescharacteristic
1822C22C2×#58512yes—
1823C22H(7,𝔽2)12yes—
1824C4—22no—
1825C4—22no—
1826C4—22no—
1827C4—22no—
1828C4—24no—
1829C4—24no—
1830C4—22no—
1831C4—24no—
1832C4—42no—
1833C4—41no—
1834C4—42no—
1835C4—44no—
1836C4—42no—
1837C4—41no—
1838C4—41no—
1839C4—42no—
1840C4—41no—
1841C4—42no—
1842C4—44no—
1843C4—42no—
1844C4—41no—
1845C4—41no—
1846C4—42no—
1847C4—42no—
1848C4—44no—
1849C4—42no—
1850C4—44no—
1851C4—42no—
1852C4C2×#53614yes—
1853C2—28no—
1854C2—44no—
1855C2—42no—
1856C2—81no—
1857C2—82no—
1858C2—81no—
1859C2C22×#53611yescharacteristic
1860C2#6281211yescharacteristic
1861C2#6284211yescharacteristic
1862C2#6294812yes—
1863C2#6295112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3513C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3501C2semidirect
3. #42651C2semidirect
4. #42647C2semidirect
5. #42644C2semidirect
6. #42431C2semidirect
7. #42427C2semidirect
8. #42423C2semidirect
9. #41374C2semidirect
10. #41370C2semidirect
11. #40511C2semidirect
12. #40495C2semidirect
13. #40491C2semidirect
14. #40487C2semidirect
15. #39952C2semidirect
16. #39949C2semidirect
17. #38422C2semidirect
18. #38421C2semidirect
19. #37560C2semidirect
20. #37551C2semidirect
21. #37441C2semidirect
22. #37438C2semidirect
23. #36261C2semidirect
24. #36238C2semidirect
25. #36031C2semidirect
26. #35836C2semidirect
27. #35791C2semidirect
28. #35739C2semidirect
29. #35713C2semidirect
30. #35702C2semidirect
31. #35201C2semidirect
32. #35085C2semidirect
33. #34631C2semidirect
34. C2×#2663C2semidirect
35. #34126C2semidirect
42. C2×#554C22semidirect
43. C2×#554C22semidirect
44. C2×#554C22semidirect
45. C2×#554C22semidirect
52. C2×D4×Q8C22semidirect
53. C2×D4×Q8C22semidirect
59. C2×#544C22semidirect
60. C2×#543C22semidirect
65. C2×#533C22semidirect
66. C2×#533C22semidirect
71. C22×C22⋊Q8C22semidirect
72. C22×C22⋊Q8C22semidirect
77. #2861C22semidirect
78. #2859C22semidirect
79. #2857C22semidirect
80. #2850C22semidirect
81. #2821C22semidirect
82. #2821C22semidirect
83. #2817C22semidirect
84. #2817C22semidirect
85. #2817C22semidirect
87. #2816C22semidirect
88. #2816C22semidirect
90. #2814C22semidirect
91. #2721C22semidirect
92. #2719C22semidirect
93. #2716C22semidirect
94. #2713C22semidirect
95. #2700C22semidirect
96. #2700C22semidirect
97. #2698C22semidirect
98. #2698C22semidirect
99. #2694C22semidirect
100. #2690C22semidirect
101. #2689C22semidirect
102. #2689C22semidirect
103. #2687C22semidirect
104. #2687C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
108. #2680C22semidirect
109. #2677C22semidirect
110. #2674C22semidirect
111. #2674C22semidirect
112. #2674C22semidirect
113. #2672C22semidirect
114. #2672C22semidirect
115. #2664C22semidirect
116. #2664C22semidirect
121. #2663C22semidirect
122. #2663C22semidirect
123. #2663C22semidirect
124. #2663C22semidirect
125. #2663C22semidirect
126. #2663C22semidirect
127. #2663C22semidirect
128. #2663C22semidirect
129. #2663C22semidirect
130. #2663C22semidirect
131. #2663C22semidirect
132. #2663C22semidirect
133. #2663C22semidirect
134. #2663C22semidirect
135. #2660C22semidirect
136. #2658C22semidirect
137. #2642C22semidirect
138. #2640C22semidirect
139. #2638C22semidirect
140. #2634C22semidirect
141. #2632C22semidirect
142. #2628C22semidirect
143. #2628C22semidirect
144. #2628C22semidirect
145. #2628C22semidirect
146. #2627C22semidirect
147. #2627C22semidirect
148. #2626C22semidirect
149. #2626C22semidirect
150. #2625C22semidirect
151. #2625C22semidirect
153. #2623C22semidirect
154. #2623C22semidirect
156. #2622C22semidirect
157. #2621C22semidirect
159. #2616C22semidirect
160. #2614C22semidirect
161. #2614C22semidirect
162. #2611C22semidirect
163. #2604C22semidirect
164. #2604C22semidirect
165. #2604C22semidirect
166. #2604C22semidirect
167. #2592C22semidirect
168. #2591C22semidirect
169. #2584C22semidirect
170. #2584C22semidirect
171. #2583C22semidirect
172. #2583C22semidirect
173. #2581C22semidirect
174. #2581C22semidirect
175. #2580C22semidirect
176. #2580C22semidirect
177. #2568C22semidirect
178. #2567C22semidirect
179. #2564C22semidirect
180. #2564C22semidirect
181. #2564C22semidirect
182. #2564C22semidirect
183. #2563C22semidirect
184. #2562C22semidirect
185. #2561C22semidirect
186. #2552C22semidirect
187. #2551C22semidirect
188. #2550C22semidirect
189. #2550C22semidirect
190. #2549C22semidirect
191. #2549C22semidirect
192. #2542C22semidirect
193. #2503C22semidirect
194. #2501C22semidirect
196. #2499C22semidirect
197. #2499C22semidirect
198. #2492C22semidirect
199. #2491C22semidirect
200. #2490C22semidirect
201. #2489C22semidirect
202. #2488C22semidirect
203. #2488C22semidirect
204. #2487C22semidirect
205. #2487C22semidirect
207. #2485C22semidirect
208. #2483C22semidirect
209. #2472C22semidirect
210. #2472C22semidirect
211. #2454C22semidirect
212. #2453C22semidirect
213. #2452C22semidirect
214. #2451C22semidirect
215. #2450C22semidirect
216. #2450C22semidirect
217. #2449C22semidirect
218. #2449C22semidirect
219. #2447C22semidirect
220. #2447C22semidirect
224. #2444C22semidirect
226. #2443C22semidirect
227. #2442C22semidirect
228. #2441C22semidirect
229. #2440C22semidirect
230. #2440C22semidirect
231. #2440C22semidirect
232. #2439C22semidirect
233. #2438C22semidirect
234. #2438C22semidirect
235. #2437C22semidirect
236. #2437C22semidirect
237. #2436C22semidirect
238. #2434C22semidirect
239. #2432C22semidirect
241. #2422C22semidirect
243. #2420C22semidirect
244. #2419C22semidirect
245. #2419C22semidirect
248. #2415C22semidirect
249. #2415C22semidirect
250. #2415C22semidirect
251. #2413C22semidirect
252. #2413C22semidirect
254. #2412C22semidirect
255. #2409C22semidirect
256. #2409C22semidirect
258. #2396C22semidirect
259. #2396C22semidirect
260. #2396C22semidirect
261. #2396C22semidirect
263. #2395C22semidirect
264. C2×#400C22semidirect
265. C2×#399C22semidirect
266. C2×#397C22semidirect
267. C2×#395C22semidirect
269. C2×#393C22semidirect
270. #2357C22semidirect
271. #2357C22semidirect
272. #2353C22semidirect
273. #2353C22semidirect
280. #2345C22semidirect
281. #2342C22semidirect
287. #2323C22semidirect
288. #2322C22semidirect
289. #2322C22semidirect
290. C4×C4⋊Q8C22semidirect
291. C4×#124C22semidirect
292. #2293C22semidirect
293. C2×#389C22semidirect
294. #2290C22semidirect
295. C2×#388C22semidirect
296. #2283C22semidirect
297. #2280C22semidirect
299. C4×#117C22semidirect
300. C2×C4×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
C2×#35012
#426512
#426472
#426442
#424312
#424272
#424232
#413742
#413702
#405112
#404952
#404912
#404872
#399522
#399492
#384222
#384212
#375602
#375512
#374412
#374382
#362612
#362382
#360312
#358362
#357912
#357392
#357132
#357022
#352012
#350852
#346312
C2×#26632
#341262