Finite Group Databasebeta

← #7656366

Subgroups — #7656366

Order 512.

7121 conjugacy classes of subgroups.

The subgroup lattice has 1927 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3506C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#42680C211yesmaximal, characteristic, complemented
4#42676C211yesmaximal, characteristic, complemented
5#42483C211yesmaximal, characteristic, complemented
6#42479C211yesmaximal, characteristic, complemented
7#42435C212yesmaximal, complemented
8#42422C212yesmaximal, complemented
9#41423C212yesmaximal, complemented
10#41419C212yesmaximal, complemented
11#40604C212yesmaximal, complemented
12#40600C212yesmaximal, complemented
13#40525C214yesmaximal, complemented
14#40524C214yesmaximal, complemented
15#39857C212yesmaximal, complemented
16#39853C212yesmaximal, complemented
17#39846C214yesmaximal, complemented
18#39844C214yesmaximal, complemented
19#37551C211yesmaximal, characteristic, complemented
20#37544C211yesmaximal, characteristic, complemented
21#37454C212yesmaximal, complemented
22#37445C212yesmaximal, complemented
23#36441C212yesmaximal, complemented
24#36437C212yesmaximal, complemented
25#35959C211yesmaximal, characteristic, complemented
26#35941C211yesmaximal, characteristic, complemented
27#35930C211yesmaximal, characteristic, complemented
28#35856C211yesmaximal, characteristic, complemented
29#35793C212yesmaximal, complemented
30#35724C212yesmaximal, complemented
31#35190C211yesmaximal, characteristic, complemented
32#35063C212yesmaximal, complemented
33#34627C211yesmaximal, characteristic, complemented
34#34562C212yesmaximal, complemented
35#34190C211yesmaximal, characteristic, complemented
36#3506—216no—
37#3481—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×#559C2212yescomplemented
41C2×#556C2211yescharacteristic
42C2×#556C2211yescharacteristic, complemented
43C2×#555C2212yescomplemented
44C2×#554C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#553C2211yescharacteristic
47C2×#553C2212yes—
48C2×#553C2211yescharacteristic
49C2×#553C2214yescomplemented
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#550C2211yescharacteristic
53C2×#550C2211yescharacteristic, complemented
54C2×#547C2212yescomplemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×D42C2211yescharacteristic
59C2×#538C2214yescomplemented
60C2×#535C2212yes—
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic, complemented
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×#525C2212yes—
68C2×#525C2212yes—
69C2×#525C2212yescomplemented
70C2×#525C2212yescomplemented
71C2×#520C2212yescomplemented
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C22×C4×D4C2212yes—
75C22×C4×D4C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2853C2214yescomplemented
78#2850C2212yescomplemented
79#2850C2212yescomplemented
80#2849C2214yescomplemented
81#2821C2212yescomplemented
82#2821C2212yescomplemented
83#2817C2212yescomplemented
84#2816C2212yescomplemented
85#2816C2212yescomplemented
86#2815C2212yescomplemented
87#2813C2214yescomplemented
88#2812C2214yes—
89#2812C2214yescomplemented
90#2718C2214yescomplemented
91#2715C2214yescomplemented
92#2712C2214yescomplemented
93#2708C2214yescomplemented
94#2708C2214yescomplemented
95#2703C2214yescomplemented
96#2698C2214yescomplemented
97#2695C2214yescomplemented
98#2693C2214yescomplemented
99#2689C2214yescomplemented
100#2688C2214yes—
101#2688C2214yescomplemented
102#2685C2214yescomplemented
103#2681C2214yescomplemented
104#2676C2214yescomplemented
105#2672C2214yescomplemented
106#2672C2214yescomplemented
107#2672C2214yescomplemented
108#2671C2214yes—
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2669C2214yescomplemented
112#2668C2214yes—
113#2668C2214yes—
114#2663C2212yescomplemented
115#2663C2212yescomplemented
116#2663C2214yescomplemented
117#2661C2212yescomplemented
118#2661C2212yescomplemented
119#2658C2211yescharacteristic, complemented
120#2657C2211yescharacteristic, complemented
121#2642C2211yescharacteristic, complemented
122#2641C2211yescharacteristic, complemented
123#2638C2211yescharacteristic
124#2638C2211yescharacteristic
125#2638C2212yescomplemented
126#2638C2211yescharacteristic, complemented
127#2638C2211yescharacteristic, complemented
128#2638C2212yescomplemented
129#2638C2214yescomplemented
130#2636C2212yescomplemented
131#2636C2212yescomplemented
132#2635C2212yes—
133#2635C2212yescomplemented
134#2635C2212yescomplemented
135#2635C2214yescomplemented
136#2635C2212yescomplemented
137#2634C2212yescomplemented
138#2633C2212yescomplemented
139#2630C2214yescomplemented
140#2630C2214yescomplemented
141#2628C2211yescharacteristic, complemented
142#2628C2211yescharacteristic, complemented
143#2627C2212yescomplemented
144#2626C2212yescomplemented
145#2625C2212yescomplemented
146#2625C2212yescomplemented
147#2625C2212yescomplemented
148#2624C2212yes—
149#2624C2212yescomplemented
150#2622C2214yescomplemented
151#2621C2211yescharacteristic, complemented
152#2621C2211yescharacteristic, complemented
153#2618C2212yescomplemented
154#2617C2214yes—
155#2617C2212yescomplemented
156#2617C2214yescomplemented
157#2616C2212yes—
158#2616C2212yescomplemented
159#2615C2212yescomplemented
160#2613C2214yes—
161#2611C2214yescomplemented
162#2602C2214yescomplemented
163#2602C2214yescomplemented
164#2600C2214yes—
165#2600C2214yescomplemented
166#2600C2214yescomplemented
167#2600C2214yescomplemented
168#2598C2212yescomplemented
169#2598C2212yescomplemented
170#2598C2214yescomplemented
171#2592C2211yescharacteristic, complemented
172#2592C2211yescharacteristic, complemented
173#2584C2211yescharacteristic, complemented
174#2584C2211yescharacteristic, complemented
175#2581C2212yescomplemented
176#2580C2212yescomplemented
177#2568C2211yescharacteristic, complemented
178#2564C2212yescomplemented
179#2564C2212yescomplemented
180#2559C2214yescomplemented
181#2559C2214yescomplemented
182#2555C2214yescomplemented
183#2553C2214yescomplemented
184#2548C2211yescharacteristic, complemented
185#2547C2212yescomplemented
186#2545C2212yescomplemented
187#2544C2212yes—
188#2544C2212yescomplemented
189#2544C2212yescomplemented
190#2543C2212yescomplemented
191#2543C2212yescomplemented
192#2542C2211yescharacteristic, complemented
193#2541C2212yes—
194#2541C2211yescharacteristic, complemented
195#2521C2214yescomplemented
196#2500C2212yescomplemented
197#2498C2212yescomplemented
198#2498C2212yescomplemented
199#2498C2214yescomplemented
200#2496C2214yescomplemented
201#2485C2214yescomplemented
202#2484C2212yescomplemented
203#2482C2212yescomplemented
204#2481C2214yescomplemented
205#2479C2214yescomplemented
206#2477C2214yescomplemented
207#2475C2214yescomplemented
208#2474C2214yescomplemented
209#2473C2214yescomplemented
210#2472C2214yescomplemented
211#2471C2214yescomplemented
212#2470C2214yescomplemented
213#2464C2214yescomplemented
214#2461C2214yescomplemented
215#2459C2214yescomplemented
216#2457C2214yescomplemented
217#2455C2214yescomplemented
218#2454C2212yescomplemented
219#2453C2212yescomplemented
220#2452C2212yescomplemented
221#2451C2212yescomplemented
222#2449C2214yescomplemented
223#2447C2212yes—
224#2447C2212yes—
225#2445C2212yes—
226#2445C2212yes—
227#2443C2214yescomplemented
228#2435C2212yes—
229#2433C2212yes—
230#2432C2212yes—
231#2432C2212yescomplemented
232#2431C2212yes—
233#2431C2212yes—
234#2431C2212yes—
235#2430C2212yescomplemented
236#2430C2212yescomplemented
237#2430C2214yescomplemented
238#2429C2212yescomplemented
239#2428C2212yes—
240#2428C2214yescomplemented
241#2428C2212yescomplemented
242#2428C2212yescomplemented
243#2427C2212yes—
244#2427C2212yescomplemented
245#2427C2212yescomplemented
246#2426C2212yescomplemented
247#2418C2214yescomplemented
248#2415C2214yescomplemented
249#2414C2214yescomplemented
250#2412C2214yescomplemented
251#2410C2214yes—
252#2407C2212yes—
253#2407C2214yescomplemented
254#2407C2212yescomplemented
255#2406C2212yescomplemented
256#2404C2212yescomplemented
257#2399C2211yescharacteristic, complemented
258#2399C2211yescharacteristic, complemented
259#2398C2211yescharacteristic, complemented
260#2398C2211yescharacteristic, complemented
261#2395C2212yes—
262#2395C2212yescomplemented
263#2395C2212yescomplemented
264#2395C2212yescomplemented
265#2392C2214yes—
266#2392C2214yescomplemented
267#2388C2212yescomplemented
268#2388C2212yescomplemented
269#2367C2212yescomplemented
270#2367C2212yescomplemented
271#2366C2212yescomplemented
272#2365C2212yescomplemented
273#2363C2212yescomplemented
274#2362C2212yescomplemented
275#2361C2212yescomplemented
276#2360C2212yescomplemented
277#2357C2212yes—
278#2353C2214yescomplemented
279#2349C2212yescomplemented
280#2344C2212yescomplemented
281#2342C2214yescomplemented
282D4×C22⋊C4C2212yes—
283#2328C2212yescomplemented
284#2326C2212yescomplemented
285#2325C2214yescomplemented
286#2325C2214yescomplemented
287#2319C2211yescharacteristic
288#2319C2211yescharacteristic
289#2318C2212yescomplemented
290#2318C2212yescomplemented
291C4×C22⋊Q8C2212yescomplemented
292C4×C22⋊Q8C2212yescomplemented
293C4×#123C2214yescomplemented
294C4×#120C2214yescomplemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298C2×#381C2212yescomplemented
299#2275C2211yescharacteristic, complemented
300#2275C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2311yescharacteristic
310C24×C4C2312yes—
311C24×C4C2312yes—
312#559—28no—
313#559—216no—
314#559—216no—
315#556—28no—
316#556—28no—
317#555—216no—
318#554—28no—
319#554—28no—
320#553—216no—
321#553—28no—
322#553—232no—
323#553—28no—
324#551—216no—
325#551—216no—
326#550—28no—
327#550—28no—
328#547—216no—
329#546—28no—
330#546—28no—
331#546—216no—
332D42—28no—
333#538—232no—
334#535—216no—
335#533—28no—
336#532—28no—
337#532—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×#127C2311yescharacteristic
344C2×#127C2311yescharacteristic
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2312yes—
349#529—216no—
350#529—28no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#124C2311yescharacteristic
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374#525—216no—
375#525—216no—
376#525—216no—
377#525—216no—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2314yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#120C2314yes—
435C2×#120C2312yes—
436C2×#120C2312yes—
437C2×#120C2314yes—
438C2×#120C2312yes—
439C2×#120C2312yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442#520—216no—
443C4×#41—28no—
444C4×#41—28no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×D4—216no—
455C2×C4×D4—28no—
456C2×C4×D4D4116yescomplemented
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2314yes—
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2312yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2314yes—
506C2×#117C2312yes—
507C2×#117C2314yes—
508C22×C4⋊C4C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2314yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C22⋊C4C2312yes—
513C22×C22⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2312yes—
517C22×C42C2311yescharacteristic
518C22×C42C2311yescharacteristic
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521#400C2312yes—
522#400C2312yes—
523#400C2314yes—
524#400C2312yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2312yes—
529#400C2312yes—
530#400C2312yes—
531#400C2312yes—
532#400C2312yes—
533#399C2312yes—
534#399C2312yes—
535#399C2314yes—
536#399C2312yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#399C2312yes—
541#399C2312yes—
542#399C2312yes—
543#398C2311yescharacteristic
544#398C2312yes—
545#398C2314yes—
546#398C2312yes—
547#398C2314yes—
548#398C2311yescharacteristic
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2312yes—
552#398C2311yescharacteristic
553#398C2312yes—
554#398C2312yes—
555#398C2314yes—
556#398C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2312yes—
560#397C2312yes—
561#397C2314yes—
562#397C2314yes—
563#397C2312yes—
564#397C2314yes—
565#397C2314yes—
566#397C2312yes—
567#397C2311yescharacteristic
568#397C2314yes—
569#397C2311yescharacteristic
570#397C2312yes—
571#397C2312yes—
572#397C2311yescharacteristic
573#397C2311yescharacteristic
574#397C2312yes—
575#397C2314yes—
576#397C2314yes—
577#397C2312yes—
578#397C2314yes—
579#397C2314yes—
580#397C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#395C2311yescharacteristic
588#395C2312yes—
589#395C2314yes—
590#395C2311yescharacteristic
591#395C2312yes—
592#395C2314yes—
593#395C2312yes—
594#395C2312yes—
595#395C2311yescharacteristic
596#395C2311yescharacteristic
597#394C2312yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2312yes—
603#394C2314yes—
604#394C2312yes—
605#394C2314yes—
606#394C2312yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2312yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2312yes—
622#394C2312yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#393C2311yescharacteristic
636#393C2312yes—
637#393C2314yes—
638#393C2311yescharacteristic
639#393C2312yes—
640#393C2314yes—
641#393C2311yescharacteristic
642#393C2311yescharacteristic
643#392C2312yes—
644#392C2312yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2314yes—
655#392C2312yes—
656#392C2314yes—
657#392C2312yes—
658#392C2314yes—
659#392C2314yes—
660#392C2314yes—
661#391C2312yes—
662#391C2312yes—
663#391C2312yes—
664#391C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2312yes—
670#391C2314yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#390C2312yes—
683#390C2312yes—
684#390C2314yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2314yes—
695#389C2314yes—
696#389C2312yes—
697#389C2312yes—
698#389C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2312yes—
731#387C2314yes—
732#387C2314yes—
733#387C2312yes—
734#387C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2312yes—
781#385C2314yes—
782#385C2314yes—
783#385C2312yes—
784#385C2314yes—
785#385C2314yes—
786#385C2312yes—
787#384C2312yes—
788#383C2312yes—
789#383C2312yes—
790#382C2312yes—
791#382C2311yescharacteristic
792#382C2311yescharacteristic
793#382C2312yes—
794#381C2312yes—
795#381C2312yes—
796#381C2314yes—
797#381C2314yes—
798#381C2314yes—
799#381C2314yes—
800#381C2312yes—
801#381C2311yescharacteristic
802#381C2311yescharacteristic
803#380C2314yes—
804#380C2314yes—
805#380C2312yes—
806#380C2312yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2314yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#379C2314yes—
817#379C2314yes—
818#379C2314yes—
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845#376C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2312yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2314yes—
851C25C2412yes—
852C25C2412yes—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—42no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—42no—
864C2×#41—84no—
865C2×#41—84no—
866C2×#41—84no—
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×D4—28no—
875C22×D4—24no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4—44no—
879C22×D4—44no—
880C22×D4C2×D418yes—
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C23×C4—28no—
909C23×C4—84no—
910C23×C4—84no—
911C23×C4C2×D4116yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2412yes—
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C4⋊Q8—24no—
938C4⋊Q8—24no—
939C4⋊Q8—24no—
940C4⋊Q8—24no—
941C4⋊Q8—44no—
942#127—24no—
943#127—28no—
944#127—28no—
945#127—24no—
946#127—44no—
947#127—44no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—216no—
952#126—216no—
953#126—28no—
954#125—28no—
955#125—24no—
956#125—24no—
957#125—28no—
958#124—24no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—216no—
964#124—216no—
965#124—24no—
966#124—28no—
967#124—44no—
968#124—44no—
969#124—44no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—216no—
974#123—216no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—216no—
981#123—216no—
982#123—48no—
983#123—84no—
984C22⋊Q8—24no—
985C22⋊Q8—24no—
986C22⋊Q8—28no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—24no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8—44no—
1000C22⋊Q8—84no—
1001#121—28no—
1002#121—24no—
1003#121—28no—
1004#121—24no—
1005#121—216no—
1006#121—216no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—24no—
1013#121—28no—
1014#121—24no—
1015#121—28no—
1016#121—28no—
1017#121—216no—
1018#121—216no—
1019#121—48no—
1020#121—48no—
1021#121—44no—
1022#121—44no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#120—216no—
1027#120—216no—
1028#120—28no—
1029#120—28no—
1030#120—28no—
1031#120—28no—
1032#120—48no—
1033#120—84no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—24no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—216no—
1059C4×D4—216no—
1060C4×D4—216no—
1061C4×D4—216no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—28no—
1065C4×D4—28no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—24no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—84no—
1075C4×D4—84no—
1076C4×D4C2×D418yes—
1077C4×D4C2×D4116yes—
1078C4×D4C2×D418yes—
1079C4×D4C2×D418yes—
1080C4×D4C2×D4116yes—
1081C4×D4C2×D418yes—
1082#117—24no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—24no—
1088#117—216no—
1089#117—28no—
1090#117—24no—
1091#117—24no—
1092#117—28no—
1093#117—84no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—24no—
1096C2×C4⋊C4—216no—
1097C2×C4⋊C4C2×D418yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—84no—
1158C2×C22⋊C4C2×D4116yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C42—28no—
1232C2×C42—24no—
1233C2×C42—24no—
1234C2×C42C2×D418yes—
1235C2×C42C2411yescharacteristic
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2414yes—
1239C2×C42C2414yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2411yescharacteristic
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2411yescharacteristic
1260#95C2412yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2411yescharacteristic
1269#95C2411yescharacteristic
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—24no—
1310C24—24no—
1311C24—44no—
1312C24—42no—
1313C24—42no—
1314C24—44no—
1315C24—44no—
1316C24—42no—
1317C24—44no—
1318C24C22×D418yes—
1319C24C2512yes—
1320C24C2514yes—
1321C24C2511yescharacteristic
1322C24C2512yes—
1323C24C2511yescharacteristic
1324C24C2512yes—
1325C24C2511yescharacteristic
1326#41—432no—
1327#41—416no—
1328#41—416no—
1329#41—816no—
1330#41—816no—
1331#41—816no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—24no—
1338C2×Q8—24no—
1339C2×Q8—24no—
1340C2×Q8—24no—
1341C2×Q8—22no—
1342C2×Q8—24no—
1343C2×Q8—41no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8—44no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—28no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—22no—
1360C2×D4—28no—
1361C2×D4—28no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—28no—
1366C2×D4—28no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—416no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—41no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—432no—
1419C2×D4—416no—
1420C2×D4C22×D414yes—
1421C2×D4C22×D414yes—
1422C2×D4C22×D418yes—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—24no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—28no—
1442C22×C4—28no—
1443C22×C4—24no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—42no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—42no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—816no—
1475C22×C4—816no—
1476C22×C4C22×D414yes—
1477C22×C4C22×D418yes—
1478C22×C4C22×D414yes—
1479C22×C4C22×D414yes—
1480C22×C4C22×D418yes—
1481C22×C4C22×D418yes—
1482C22×C4C22×D418yes—
1483C22×C4C22×D418yes—
1484C22×C4C2512yes—
1485C22×C4C2514yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2514yes—
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—28no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—22no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—42no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—42no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4C22×D418yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D414yes—
1568C22⋊C4—22no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—22no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—22no—
1592C22⋊C4—24no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—28no—
1596C22⋊C4—28no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—28no—
1602C22⋊C4—42no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4C22×D418yes—
1637C22⋊C4C22×D418yes—
1638C22⋊C4C22×D418yes—
1639C22⋊C4C22×D418yes—
1640C42—22no—
1641C42—22no—
1642C42—24no—
1643C42—22no—
1644C42—24no—
1645C42—22no—
1646C42—24no—
1647C42—22no—
1648C42—22no—
1649C42—28no—
1650C42—28no—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—24no—
1655C42—44no—
1656C42—44no—
1657C42—42no—
1658C42—42no—
1659C42C22×D414yes—
1660C42C22×D414yes—
1661C42C22×D414yes—
1662C42C22×D414yes—
1663C23—21no—
1664C23—22no—
1665C23—22no—
1666C23—24no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—24no—
1675C23—22no—
1676C23—24no—
1677C23—22no—
1678C23—24no—
1679C23—22no—
1680C23—21no—
1681C23—24no—
1682C23—24no—
1683C23—21no—
1684C23—24no—
1685C23—22no—
1686C23—22no—
1687C23—24no—
1688C23—22no—
1689C23—24no—
1690C23—24no—
1691C23—21no—
1692C23—24no—
1693C23—24no—
1694C23—24no—
1695C23—22no—
1696C23—48no—
1697C23—48no—
1698C23—48no—
1699C23—48no—
1700C23—48no—
1701C23—84no—
1702C23—88no—
1703C23—88no—
1704C23—88no—
1705C23—88no—
1706C23C23×D414yes—
1707C23C23×D412yes—
1708C23C23×D414yes—
1709C23#58512yes—
1710C23C2611yescharacteristic
1711Q8—44no—
1712Q8—44no—
1713Q8—44no—
1714Q8—44no—
1715Q8—48no—
1716Q8—84no—
1717Q8—84no—
1718D4—28no—
1719D4—28no—
1720D4—28no—
1721D4—48no—
1722D4—48no—
1723D4—44no—
1724D4—48no—
1725D4—48no—
1726D4—48no—
1727D4—48no—
1728D4—44no—
1729D4—416no—
1730D4—48no—
1731D4—44no—
1732D4—48no—
1733D4—84no—
1734D4—84no—
1735D4—88no—
1736D4—88no—
1737D4—88no—
1738D4—84no—
1739D4—84no—
1740D4—88no—
1741D4—88no—
1742D4—88no—
1743D4—164no—
1744D4—164no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—28no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—24no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—24no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—44no—
1809C2×C4—48no—
1810C2×C4—48no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—48no—
1814C2×C4—44no—
1815C2×C4—44no—
1816C2×C4—48no—
1817C2×C4—44no—
1818C2×C4—44no—
1819C2×C4—48no—
1820C2×C4—416no—
1821C2×C4—44no—
1822C2×C4—48no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—84no—
1826C2×C4—84no—
1827C2×C4—88no—
1828C2×C4—88no—
1829C2×C4—84no—
1830C2×C4—164no—
1831C2×C4—164no—
1832C2×C4C23×D412yes—
1833C2×C4C23×D414yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D412yes—
1837C2×C4C23×D412yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D412yes—
1840C2×C4#58512yes—
1841C2×C4#58514yes—
1842C22—22no—
1843C22—22no—
1844C22—24no—
1845C22—24no—
1846C22—22no—
1847C22—24no—
1848C22—24no—
1849C22—22no—
1850C22—24no—
1851C22—24no—
1852C22—24no—
1853C22—41no—
1854C22—41no—
1855C22—44no—
1856C22—44no—
1857C22—42no—
1858C22—44no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—41no—
1863C22—42no—
1864C22—44no—
1865C22—42no—
1866C22—41no—
1867C22—44no—
1868C22—44no—
1869C22—41no—
1870C22—42no—
1871C22—44no—
1872C22—44no—
1873C22—44no—
1874C22—42no—
1875C22—44no—
1876C22—44no—
1877C22—44no—
1878C22—42no—
1879C22—816no—
1880C22—816no—
1881C22C24×D411yescharacteristic
1882C22C2×#58511yescharacteristic
1883C22C2×#58511yescharacteristic
1884C22C2×#58512yes—
1885C22H(7,𝔽2)12yes—
1886C4—22no—
1887C4—22no—
1888C4—22no—
1889C4—22no—
1890C4—22no—
1891C4—24no—
1892C4—24no—
1893C4—22no—
1894C4—42no—
1895C4—41no—
1896C4—42no—
1897C4—42no—
1898C4—41no—
1899C4—42no—
1900C4—41no—
1901C4—42no—
1902C4—42no—
1903C4—41no—
1904C4—41no—
1905C4—44no—
1906C4—42no—
1907C4—42no—
1908C4—44no—
1909C4—42no—
1910C4—42no—
1911C4—44no—
1912C4—42no—
1913C4#344914yes—
1914C2—44no—
1915C2—42no—
1916C2—42no—
1917C2—44no—
1918C2—81no—
1919C2—84no—
1920C2—82no—
1921C2C2×#344911yescharacteristic
1922C2#6281111yescharacteristic
1923C2#6284211yescharacteristic
1924C2#6296512yes—
1925C2#6296912yes—
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×#3506C2semidirect
2. C2×#3481C2semidirect
3. #42680C2semidirect
4. #42676C2semidirect
5. #42483C2semidirect
6. #42479C2semidirect
7. #42435C2semidirect
8. #42422C2semidirect
9. #41423C2semidirect
10. #41419C2semidirect
11. #40604C2semidirect
12. #40600C2semidirect
13. #40525C2semidirect
14. #40524C2semidirect
15. #39857C2semidirect
16. #39853C2semidirect
17. #39846C2semidirect
18. #39844C2semidirect
19. #37551C2semidirect
20. #37544C2semidirect
21. #37454C2semidirect
22. #37445C2semidirect
23. #36441C2semidirect
24. #36437C2semidirect
25. #35959C2semidirect
26. #35941C2semidirect
27. #35930C2semidirect
28. #35856C2semidirect
29. #35793C2semidirect
30. #35724C2semidirect
31. #35190C2semidirect
32. #35063C2semidirect
33. #34627C2semidirect
34. #34562C2semidirect
35. #34190C2semidirect
40. C2×#559C22semidirect
42. C2×#556C22semidirect
43. C2×#555C22semidirect
49. C2×#553C22semidirect
53. C2×#550C22semidirect
54. C2×#547C22semidirect
59. C2×#538C22semidirect
61. C2×#533C22semidirect
63. C2×#532C22semidirect
69. C2×#525C22semidirect
70. C2×#525C22semidirect
71. C2×#520C22semidirect
77. #2853C22semidirect
78. #2850C22semidirect
79. #2850C22semidirect
80. #2849C22semidirect
81. #2821C22semidirect
82. #2821C22semidirect
83. #2817C22semidirect
84. #2816C22semidirect
85. #2816C22semidirect
86. #2815C22semidirect
87. #2813C22semidirect
89. #2812C22semidirect
90. #2718C22semidirect
91. #2715C22semidirect
92. #2712C22semidirect
93. #2708C22semidirect
94. #2708C22semidirect
95. #2703C22semidirect
96. #2698C22semidirect
97. #2695C22semidirect
98. #2693C22semidirect
99. #2689C22semidirect
101. #2688C22semidirect
102. #2685C22semidirect
103. #2681C22semidirect
104. #2676C22semidirect
105. #2672C22semidirect
106. #2672C22semidirect
107. #2672C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
111. #2669C22semidirect
114. #2663C22semidirect
115. #2663C22semidirect
116. #2663C22semidirect
117. #2661C22semidirect
118. #2661C22semidirect
119. #2658C22semidirect
120. #2657C22semidirect
121. #2642C22semidirect
122. #2641C22semidirect
125. #2638C22semidirect
126. #2638C22semidirect
127. #2638C22semidirect
128. #2638C22semidirect
129. #2638C22semidirect
130. #2636C22semidirect
131. #2636C22semidirect
133. #2635C22semidirect
134. #2635C22semidirect
135. #2635C22semidirect
136. #2635C22semidirect
137. #2634C22semidirect
138. #2633C22semidirect
139. #2630C22semidirect
140. #2630C22semidirect
141. #2628C22semidirect
142. #2628C22semidirect
143. #2627C22semidirect
144. #2626C22semidirect
145. #2625C22semidirect
146. #2625C22semidirect
147. #2625C22semidirect
149. #2624C22semidirect
150. #2622C22semidirect
151. #2621C22semidirect
152. #2621C22semidirect
153. #2618C22semidirect
155. #2617C22semidirect
156. #2617C22semidirect
158. #2616C22semidirect
159. #2615C22semidirect
161. #2611C22semidirect
162. #2602C22semidirect
163. #2602C22semidirect
165. #2600C22semidirect
166. #2600C22semidirect
167. #2600C22semidirect
168. #2598C22semidirect
169. #2598C22semidirect
170. #2598C22semidirect
171. #2592C22semidirect
172. #2592C22semidirect
173. #2584C22semidirect
174. #2584C22semidirect
175. #2581C22semidirect
176. #2580C22semidirect
177. #2568C22semidirect
178. #2564C22semidirect
179. #2564C22semidirect
180. #2559C22semidirect
181. #2559C22semidirect
182. #2555C22semidirect
183. #2553C22semidirect
184. #2548C22semidirect
185. #2547C22semidirect
186. #2545C22semidirect
188. #2544C22semidirect
189. #2544C22semidirect
190. #2543C22semidirect
191. #2543C22semidirect
192. #2542C22semidirect
194. #2541C22semidirect
195. #2521C22semidirect
196. #2500C22semidirect
197. #2498C22semidirect
198. #2498C22semidirect
199. #2498C22semidirect
200. #2496C22semidirect
201. #2485C22semidirect
202. #2484C22semidirect
203. #2482C22semidirect
204. #2481C22semidirect
205. #2479C22semidirect
206. #2477C22semidirect
207. #2475C22semidirect
208. #2474C22semidirect
209. #2473C22semidirect
210. #2472C22semidirect
211. #2471C22semidirect
212. #2470C22semidirect
213. #2464C22semidirect
214. #2461C22semidirect
215. #2459C22semidirect
216. #2457C22semidirect
217. #2455C22semidirect
218. #2454C22semidirect
219. #2453C22semidirect
220. #2452C22semidirect
221. #2451C22semidirect
222. #2449C22semidirect
227. #2443C22semidirect
231. #2432C22semidirect
235. #2430C22semidirect
236. #2430C22semidirect
237. #2430C22semidirect
238. #2429C22semidirect
240. #2428C22semidirect
241. #2428C22semidirect
242. #2428C22semidirect
244. #2427C22semidirect
245. #2427C22semidirect
246. #2426C22semidirect
247. #2418C22semidirect
248. #2415C22semidirect
249. #2414C22semidirect
250. #2412C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2406C22semidirect
256. #2404C22semidirect
257. #2399C22semidirect
258. #2399C22semidirect
259. #2398C22semidirect
260. #2398C22semidirect
262. #2395C22semidirect
263. #2395C22semidirect
264. #2395C22semidirect
266. #2392C22semidirect
267. #2388C22semidirect
268. #2388C22semidirect
269. #2367C22semidirect
270. #2367C22semidirect
271. #2366C22semidirect
272. #2365C22semidirect
273. #2363C22semidirect
274. #2362C22semidirect
275. #2361C22semidirect
276. #2360C22semidirect
278. #2353C22semidirect
279. #2349C22semidirect
280. #2344C22semidirect
281. #2342C22semidirect
283. #2328C22semidirect
284. #2326C22semidirect
285. #2325C22semidirect
286. #2325C22semidirect
289. #2318C22semidirect
290. #2318C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
293. C4×#123C22semidirect
294. C4×#120C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2280C22semidirect
298. C2×#381C22semidirect
299. #2275C22semidirect
300. #2275C22semidirect
456. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35062
C2×#34812
#426802
#426762
#424832
#424792
#424352
#424222
#414232
#414192
#406042
#406002
#405252
#405242
#398572
#398532
#398462
#398442
#375512
#375442
#374542
#374452
#364412
#364372
#359592
#359412
#359302
#358562
#357932
#357242
#351902
#350632
#346272
#345622
#341902