Finite Group Databasebeta

← #7648490

Subgroups — #7648490

Order 512.

7054 conjugacy classes of subgroups.

The subgroup lattice has 2009 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3475C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#42153C212yesmaximal, complemented
4#42151C212yesmaximal, complemented
5#41957C212yesmaximal, complemented
6#41955C212yesmaximal, complemented
7#41387C212yesmaximal, complemented
8#41381C212yesmaximal, complemented
9#40506C212yesmaximal, complemented
10#40500C212yesmaximal, complemented
11#39869C214yesmaximal, complemented
12#39844C214yesmaximal, complemented
13#38378C214yesmaximal, complemented
14#38372C214yesmaximal, complemented
15#37619C211yesmaximal, characteristic, complemented
16#37554C211yesmaximal, characteristic, complemented
17#37553C211yesmaximal, characteristic, complemented
18#37551C211yesmaximal, characteristic, complemented
19#37279C212yesmaximal, complemented
20#37278C212yesmaximal, complemented
21#37269C212yesmaximal, complemented
22#37268C212yesmaximal, complemented
23#35568C212yesmaximal, complemented
24#35567C212yesmaximal, complemented
25#35292C211yesmaximal, characteristic, complemented
26#35261C212yesmaximal, complemented
27#35260C212yesmaximal, complemented
28#35237C211yesmaximal, characteristic, complemented
29#35232C211yesmaximal, characteristic, complemented
30#35210C211yesmaximal, characteristic, complemented
31#35130C211yesmaximal, characteristic, complemented
32#35102C211yesmaximal, characteristic, complemented
33#34963C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34189C211yesmaximal, characteristic, complemented
36#3475—216no—
37C2×#556C2211yescharacteristic, complemented
38C2×#555C2211yescharacteristic
39C2×#554C2211yescharacteristic, complemented
40C2×#553C2212yes—
41C2×#552C2211yescharacteristic
42C2×#552C2211yescharacteristic, complemented
43C2×#552C2212yescomplemented
44C2×#551C2212yes—
45C2×#551C2212yescomplemented
46C2×#547C2211yescharacteristic
47C2×#546C2211yescharacteristic
48C2×#546C2211yescharacteristic, complemented
49#3460—216no—
50C2×#544C2211yescharacteristic, complemented
51C2×#542C2211yescharacteristic
52C2×#542C2212yescomplemented
53C2×#542C2211yescharacteristic, complemented
54C2×#540C2212yes—
55C2×#540C2211yescharacteristic
56C2×#540C2211yescharacteristic, complemented
57C2×#538C2212yes—
58C2×#538C2212yescomplemented
59C2×#537C2211yescharacteristic
60C2×#535C2211yescharacteristic
61C2×#535C2211yescharacteristic, complemented
62C2×#533C2211yescharacteristic, complemented
63C2×#532C2211yescharacteristic
64C2×#532C2212yes—
65C2×#532C2211yescharacteristic, complemented
66C2×#529C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic, complemented
70C2×#529C2211yescharacteristic, complemented
71C2×#529C2212yescomplemented
72C2×#529C2212yescomplemented
73C2×#525C2212yes—
74C2×#525C2212yes—
75C2×#525C2212yescomplemented
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C2×C4×#41C2211yescharacteristic, complemented
79C2×C4×#41C2211yescharacteristic, complemented
80C22×C4×D4C2211yescharacteristic, complemented
81C22×C4×D4C2211yescharacteristic, complemented
82C22×#117C2212yescomplemented
83#2857C2212yescomplemented
84#2856C2212yescomplemented
85#2852C2214yescomplemented
86#2851C2212yescomplemented
87#2850C2212yescomplemented
88#2849C2214yescomplemented
89#2848C2212yescomplemented
90#2847C2212yes—
91#2847C2212yes—
92#2847C2212yescomplemented
93#2821C2212yescomplemented
94#2821C2212yescomplemented
95#2820C2212yescomplemented
96#2819C2212yescomplemented
97#2816C2212yescomplemented
98#2816C2212yescomplemented
99#2814C2212yescomplemented
100#2813C2212yescomplemented
101#2732C2214yescomplemented
102#2730C2214yescomplemented
103#2730C2214yescomplemented
104#2728C2214yescomplemented
105#2719C2214yescomplemented
106#2716C2214yescomplemented
107#2714C2214yescomplemented
108#2711C2214yescomplemented
109#2709C2214yes—
110#2708C2214yescomplemented
111#2701C2214yes—
112#2698C2214yescomplemented
113#2697C2214yes—
114#2694C2214yescomplemented
115#2688C2214yescomplemented
116#2687C2214yescomplemented
117#2685C2214yescomplemented
118#2681C2214yes—
119#2679C2214yes—
120#2678C2214yes—
121#2678C2214yescomplemented
122#2677C2214yescomplemented
123#2676C2214yescomplemented
124#2674C2214yescomplemented
125#2673C2214yes—
126#2671C2214yescomplemented
127#2670C2214yescomplemented
128#2669C2214yes—
129#2669C2214yes—
130#2668C2214yescomplemented
131#2668C2214yescomplemented
132#2668C2214yescomplemented
133#2664C2212yescomplemented
134#2663C2212yescomplemented
135#2663C2212yescomplemented
136#2662C2212yescomplemented
137#2658C2212yescomplemented
138#2656C2212yescomplemented
139#2640C2212yescomplemented
140#2639C2212yescomplemented
141#2638C2212yescomplemented
142#2638C2214yescomplemented
143#2637C2212yescomplemented
144#2636C2212yescomplemented
145#2636C2214yescomplemented
146#2635C2212yes—
147#2633C2212yescomplemented
148#2633C2214yescomplemented
149#2631C2212yes—
150#2631C2212yescomplemented
151#2631C2212yescomplemented
152#2630C2214yescomplemented
153#2629C2212yescomplemented
154#2628C2212yescomplemented
155#2625C2212yescomplemented
156#2624C2212yes—
157#2624C2212yes—
158#2624C2212yescomplemented
159#2624C2212yescomplemented
160#2623C2212yescomplemented
161#2620C2212yescomplemented
162#2619C2212yescomplemented
163#2615C2212yescomplemented
164#2613C2212yescomplemented
165#2611C2212yescomplemented
166#2611C2214yescomplemented
167#2610C2212yescomplemented
168#2609C2214yescomplemented
169#2603C2212yescomplemented
170#2603C2212yescomplemented
171#2603C2214yescomplemented
172#2602C2214yescomplemented
173#2601C2214yescomplemented
174#2600C2214yescomplemented
175#2599C2212yescomplemented
176#2598C2214yescomplemented
177#2598C2212yescomplemented
178#2598C2214yescomplemented
179#2592C2212yescomplemented
180#2592C2212yescomplemented
181#2584C2212yescomplemented
182#2581C2211yescharacteristic, complemented
183#2581C2211yescharacteristic, complemented
184#2580C2211yescharacteristic, complemented
185#2580C2211yescharacteristic, complemented
186#2580C2211yescharacteristic, complemented
187#2580C2211yescharacteristic, complemented
188#2580C2211yescharacteristic, complemented
189#2580C2211yescharacteristic, complemented
190#2563C2212yescomplemented
191#2562C2212yescomplemented
192#2561C2212yescomplemented
193#2560C2214yescomplemented
194#2559C2214yescomplemented
195#2558C2214yescomplemented
196#2557C2214yescomplemented
197#2555C2214yescomplemented
198#2554C2214yescomplemented
199#2554C2214yescomplemented
200#2553C2214yescomplemented
201#2548C2212yescomplemented
202#2546C2212yescomplemented
203#2541C2212yes—
204#2540C2212yes—
205#2540C2212yescomplemented
206#2539C2212yes—
207#2536C2211yescharacteristic, complemented
208#2536C2211yescharacteristic, complemented
209#2535C2211yescharacteristic
210#2535C2211yescharacteristic
211#2535C2211yescharacteristic
212#2535C2211yescharacteristic
213#2535C2211yescharacteristic, complemented
214#2535C2211yescharacteristic, complemented
215#2519C2214yescomplemented
216#2504C2212yescomplemented
217#2498C2212yescomplemented
218#2491C2214yescomplemented
219#2487C2212yescomplemented
220#2486C2212yescomplemented
221#2485C2212yescomplemented
222#2485C2212yescomplemented
223#2482C2212yescomplemented
224#2481C2214yescomplemented
225#2479C2214yescomplemented
226#2477C2214yescomplemented
227#2476C2214yescomplemented
228#2476C2214yescomplemented
229#2474C2214yescomplemented
230#2472C2214yescomplemented
231#2471C2214yescomplemented
232#2471C2214yescomplemented
233#2470C2214yescomplemented
234#2464C2214yescomplemented
235#2464C2214yescomplemented
236#2461C2214yescomplemented
237#2452C2214yescomplemented
238#2449C2214yescomplemented
239#2445C2214yescomplemented
240#2443C2214yescomplemented
241#2443C2214yescomplemented
242#2433C2212yescomplemented
243#2432C2214yescomplemented
244#2430C2212yescomplemented
245#2430C2214yescomplemented
246#2428C2214yescomplemented
247#2424C2214yescomplemented
248#2424C2214yescomplemented
249#2418C2214yescomplemented
250#2417C2212yescomplemented
251#2416C2212yescomplemented
252#2416C2212yescomplemented
253#2416C2212yescomplemented
254#2415C2212yescomplemented
255#2414C2212yescomplemented
256#2414C2212yescomplemented
257#2414C2212yescomplemented
258#2408C2212yescomplemented
259#2408C2212yescomplemented
260#2407C2212yescomplemented
261#2407C2212yescomplemented
262#2407C2214yescomplemented
263#2404C2212yes—
264#2404C2214yescomplemented
265#2398C2212yescomplemented
266#2397C2212yes—
267#2395C2212yescomplemented
268#2388C2212yes—
269#2357C2212yes—
270#2357C2212yes—
271#2356C2212yescomplemented
272#2356C2212yescomplemented
273#2353C2212yescomplemented
274#2353C2212yescomplemented
275#2353C2212yescomplemented
276#2353C2212yescomplemented
277#2328C2214yescomplemented
278#2325C2214yescomplemented
279#2324C2212yescomplemented
280#2324C2212yescomplemented
281#2324C2212yescomplemented
282#2324C2214yescomplemented
283#2323C2212yescomplemented
284#2321C2214yescomplemented
285#2314C2212yescomplemented
286#2314C2212yescomplemented
287#2311C2212yes—
288C4×C22⋊Q8C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292C4×#120C2214yescomplemented
293#2290C2214yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298#2283C2211yescharacteristic, complemented
299C2×#382C2211yescharacteristic, complemented
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310C24×C4C2312yes—
311#556—28no—
312#555—28no—
313#554—28no—
314#553—216no—
315#552—216no—
316#552—28no—
317#552—28no—
318#551—216no—
319#551—216no—
320#547—28no—
321#546—28no—
322#546—28no—
323#544—28no—
324#542—216no—
325#542—28no—
326#542—28no—
327#540—216no—
328#540—28no—
329#540—28no—
330#538—216no—
331#538—216no—
332#537—28no—
333#535—28no—
334#535—28no—
335#533—28no—
336#532—216no—
337#532—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×#127C2311yescharacteristic
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348C2×#127C2314yes—
349#529—216no—
350#529—216no—
351#529—216no—
352#529—28no—
353#529—28no—
354#529—28no—
355#529—28no—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#125C2311yescharacteristic
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2314yes—
386#525—216no—
387#525—216no—
388#525—216no—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2314yes—
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2311yescharacteristic
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#120C2312yes—
460C2×#120C2312yes—
461C2×#120C2312yes—
462C2×#120C2312yes—
463C2×#120C2312yes—
464C2×#120C2312yes—
465C2×#120C2314yes—
466C2×#120C2314yes—
467C2×#120C2314yes—
468C2×#120C2314yes—
469C2×#120C2314yes—
470C4×#41—28no—
471C4×#41—28no—
472C4×#41—28no—
473C4×#41D4116yescomplemented
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2312yes—
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2311yescharacteristic
483C2×C4×D4—28no—
484C2×C4×D4—28no—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2311yescharacteristic
507C2×C4×D4C2311yescharacteristic
508C2×C4×D4C2311yescharacteristic
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2314yes—
514C2×C4×D4C2314yes—
515C2×C4×D4C2314yes—
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2311yescharacteristic
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×C4×D4C2311yescharacteristic
521C2×C4×D4C2311yescharacteristic
522C2×#117—216no—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2312yes—
528C2×#117C2312yes—
529C2×#117C2312yes—
530C2×#117C2312yes—
531C2×#117C2311yescharacteristic
532C2×#117C2311yescharacteristic
533C2×#117C2312yes—
534C2×#117C2312yes—
535C2×#117C2312yes—
536C2×#117C2312yes—
537C2×#117C2311yescharacteristic
538C2×#117C2312yes—
539C2×#117C2311yescharacteristic
540C2×#117C2311yescharacteristic
541C2×#117C2311yescharacteristic
542C22×C4⋊C4C2311yescharacteristic
543C22×C4⋊C4C2312yes—
544C22×C4⋊C4C2312yes—
545C22×C4⋊C4C2311yescharacteristic
546C22×C4⋊C4C2312yes—
547C22×C22⋊C4C2312yes—
548C22×C22⋊C4C2312yes—
549C22×C22⋊C4C2312yes—
550C22×C22⋊C4C2312yes—
551C22×C42C2312yes—
552C22×C42C2312yes—
553C22×C42C2312yes—
554C22×C42C2311yescharacteristic
555C22×C42C2311yescharacteristic
556C22×C42C2311yescharacteristic
557#400C2314yes—
558#400C2312yes—
559#400C2312yes—
560#400C2314yes—
561#400C2314yes—
562#400C2314yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2312yes—
569#399C2314yes—
570#399C2314yes—
571#399C2314yes—
572#399C2314yes—
573#399C2314yes—
574#399C2314yes—
575#398C2314yes—
576#398C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2314yes—
580#398C2312yes—
581#398C2314yes—
582#398C2312yes—
583#398C2314yes—
584#398C2314yes—
585#397C2314yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2314yes—
590#397C2312yes—
591#397C2312yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#397C2314yes—
596#397C2314yes—
597#397C2314yes—
598#397C2314yes—
599#397C2314yes—
600#397C2312yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#395C2314yes—
610#395C2312yes—
611#395C2312yes—
612#395C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2312yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2312yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#394C2314yes—
641#393C2314yes—
642#393C2312yes—
643#393C2312yes—
644#393C2312yes—
645#393C2312yes—
646#393C2312yes—
647#393C2314yes—
648#393C2312yes—
649#393C2314yes—
650#393C2314yes—
651#392C2312yes—
652#392C2312yes—
653#392C2314yes—
654#392C2314yes—
655#392C2312yes—
656#392C2314yes—
657#392C2314yes—
658#392C2314yes—
659#392C2312yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2312yes—
666#392C2312yes—
667#392C2314yes—
668#392C2314yes—
669#391C2314yes—
670#391C2314yes—
671#391C2312yes—
672#391C2312yes—
673#391C2314yes—
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2314yes—
678#390C2312yes—
679#390C2312yes—
680#390C2312yes—
681#390C2314yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2314yes—
687#390C2312yes—
688#390C2312yes—
689#390C2312yes—
690#390C2314yes—
691#390C2314yes—
692#390C2314yes—
693#390C2314yes—
694#389C2312yes—
695#389C2314yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2314yes—
700#389C2312yes—
701#389C2312yes—
702#389C2312yes—
703#389C2312yes—
704#389C2314yes—
705#389C2314yes—
706#389C2314yes—
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#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2314yes—
743#387C2314yes—
744#387C2314yes—
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#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#384C2312yes—
796#383C2312yes—
797#383C2312yes—
798#383C2312yes—
799#383C2312yes—
800#382C2314yes—
801#382C2312yes—
802#382C2312yes—
803#382C2311yescharacteristic
804#382C2311yescharacteristic
805#382C2311yescharacteristic
806#382C2311yescharacteristic
807#382C2312yes—
808#381C2312yes—
809#381C2314yes—
810#381C2312yes—
811#381C2312yes—
812#381C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825#380C2314yes—
826#380C2314yes—
827#380C2312yes—
828#380C2312yes—
829#379C2314yes—
830#379C2314yes—
831#379C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851#376C2312yes—
852#376C2312yes—
853#376C2312yes—
854#376C2312yes—
855C2×#95C2312yes—
856C2×#95C2312yes—
857C25C2412yes—
858C25C2412yes—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—42no—
869C2×#41—42no—
870C2×#41—84no—
871C2×#41—84no—
872C2×#41C2×D418yes—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×D4—24no—
881C22×D4—24no—
882C22×D4—42no—
883C22×D4—42no—
884C22×D4—44no—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2414yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2411yescharacteristic
914C22×D4C2411yescharacteristic
915C22×D4C2411yescharacteristic
916C23×C4—28no—
917C23×C4—28no—
918C23×C4—44no—
919C23×C4—44no—
920C23×C4—84no—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2412yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2414yes—
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C4⋊Q8—28no—
949C4⋊Q8—24no—
950C4⋊Q8—24no—
951C4⋊Q8—24no—
952C4⋊Q8—24no—
953C4⋊Q8—84no—
954#127—28no—
955#127—24no—
956#127—24no—
957#127—48no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—28no—
962#126—28no—
963#126—28no—
964#126—28no—
965#126—28no—
966#126—28no—
967#126—28no—
968#125—28no—
969#125—28no—
970#125—28no—
971#125—24no—
972#125—24no—
973#125—24no—
974#125—24no—
975#125—28no—
976#124—28no—
977#124—28no—
978#124—28no—
979#124—28no—
980#124—28no—
981#124—24no—
982#124—24no—
983#124—24no—
984#124—24no—
985#124—28no—
986#124—28no—
987#124—84no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—28no—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—28no—
1003#123—28no—
1004#123—84no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—28no—
1008C22⋊Q8—24no—
1009C22⋊Q8—24no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—28no—
1021C22⋊Q8—44no—
1022C22⋊Q8—44no—
1023C22⋊Q8—84no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—24no—
1030#121—24no—
1031#121—24no—
1032#121—24no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—24no—
1037#121—28no—
1038#121—28no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—28no—
1043#121—28no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—48no—
1048#121—44no—
1049#121—44no—
1050#121—44no—
1051#121—44no—
1052#121—44no—
1053#121—44no—
1054#121—48no—
1055#121—84no—
1056#121—84no—
1057#121—84no—
1058#120—28no—
1059#120—28no—
1060#120—28no—
1061#120—28no—
1062#120—28no—
1063#120—28no—
1064#120—48no—
1065#120—48no—
1066#120—84no—
1067#120—84no—
1068#120—84no—
1069C4×Q8—24no—
1070C4×Q8—24no—
1071C4×Q8—24no—
1072C4×Q8—24no—
1073C4×Q8—24no—
1074C4×Q8—24no—
1075C4×Q8—28no—
1076C4×Q8C2×D418yes—
1077C4×Q8C2×D418yes—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—24no—
1089C4×D4—24no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—24no—
1096C4×D4—28no—
1097C4×D4—24no—
1098C4×D4—28no—
1099C4×D4—24no—
1100C4×D4—24no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—24no—
1104C4×D4—28no—
1105C4×D4—28no—
1106C4×D4—48no—
1107C4×D4—84no—
1108C4×D4—84no—
1109C4×D4C2×D418yes—
1110C4×D4C2×D418yes—
1111C4×D4C2×D418yes—
1112C4×D4C2×D418yes—
1113C4×D4C2×D418yes—
1114C4×D4C2×D418yes—
1115#117—28no—
1116#117—24no—
1117#117—24no—
1118#117—24no—
1119#117—28no—
1120#117—28no—
1121#117—28no—
1122#117—28no—
1123#117—28no—
1124#117—28no—
1125#117—28no—
1126#117—28no—
1127#117—28no—
1128#117—28no—
1129#117—28no—
1130#117—44no—
1131#117C2×D418yes—
1132#117C2×D418yes—
1133#117C2×D418yes—
1134C2×C4⋊C4—24no—
1135C2×C4⋊C4—24no—
1136C2×C4⋊C4—28no—
1137C2×C4⋊C4—28no—
1138C2×C4⋊C4—44no—
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2414yes—
1190C2×C4⋊C4C2414yes—
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2411yescharacteristic
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C4⋊C4C2411yescharacteristic
1197C2×C22⋊C4—28no—
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—28no—
1200C2×C22⋊C4—28no—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2411yescharacteristic
1272C2×C22⋊C4C2411yescharacteristic
1273C2×C22⋊C4C2411yescharacteristic
1274C2×C22⋊C4C2411yescharacteristic
1275C2×C22⋊C4C2411yescharacteristic
1276C2×C22⋊C4C2411yescharacteristic
1277C2×C42—28no—
1278C2×C42—28no—
1279C2×C42—28no—
1280C2×C42C2×D418yes—
1281C2×C42C2×D418yes—
1282C2×C42C2×D418yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2412yes—
1290C2×C42C2412yes—
1291C2×C42C2412yes—
1292C2×C42C2414yes—
1293C2×C42C2414yes—
1294C2×C42C2414yes—
1295C2×C42C2414yes—
1296C2×C42C2414yes—
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301C2×C42C2411yescharacteristic
1302C2×C42C2411yescharacteristic
1303C2×C42C2411yescharacteristic
1304C2×C42C2411yescharacteristic
1305C2×C42C2411yescharacteristic
1306C2×C42C2411yescharacteristic
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2414yes—
1345C24—24no—
1346C24—24no—
1347C24—24no—
1348C24—42no—
1349C24—42no—
1350C24—42no—
1351C24—42no—
1352C24—42no—
1353C24—44no—
1354C24—42no—
1355C24—42no—
1356C24—44no—
1357C24C2512yes—
1358C24C2512yes—
1359C24C2512yes—
1360C24C2512yes—
1361C24C2511yescharacteristic
1362C24C2511yescharacteristic
1363C24C2511yescharacteristic
1364C24C2512yes—
1365#41—416no—
1366#41—416no—
1367#41—416no—
1368#41—416no—
1369#41—816no—
1370#41—816no—
1371C2×Q8—22no—
1372C2×Q8—22no—
1373C2×Q8—22no—
1374C2×Q8—24no—
1375C2×Q8—24no—
1376C2×Q8—24no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—41no—
1380C2×Q8—41no—
1381C2×Q8—42no—
1382C2×Q8—42no—
1383C2×Q8—44no—
1384C2×Q8—42no—
1385C2×Q8—42no—
1386C2×Q8—44no—
1387C2×Q8C22×D414yes—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—28no—
1404C2×D4—28no—
1405C2×D4—28no—
1406C2×D4—22no—
1407C2×D4—24no—
1408C2×D4—22no—
1409C2×D4—24no—
1410C2×D4—22no—
1411C2×D4—22no—
1412C2×D4—22no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—24no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—41no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—41no—
1431C2×D4—41no—
1432C2×D4—41no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—416no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—42no—
1451C2×D4—42no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—42no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—44no—
1463C2×D4—44no—
1464C2×D4—44no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—416no—
1468C2×D4C22×D414yes—
1469C2×D4C22×D414yes—
1470C2×D4C22×D414yes—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—22no—
1476C22×C4—22no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—42no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—42no—
1517C22×C4—42no—
1518C22×C4—44no—
1519C22×C4—44no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—44no—
1527C22×C4—44no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4—432no—
1531C22×C4—816no—
1532C22×C4C22×D414yes—
1533C22×C4C22×D414yes—
1534C22×C4C22×D414yes—
1535C22×C4C22×D414yes—
1536C22×C4C22×D414yes—
1537C22×C4C22×D414yes—
1538C22×C4C22×D414yes—
1539C22×C4C22×D414yes—
1540C22×C4C22×D414yes—
1541C22×C4C2514yes—
1542C22×C4C2514yes—
1543C22×C4C2514yes—
1544C22×C4C2514yes—
1545C22×C4C2512yes—
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2512yes—
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2512yes—
1554C22×C4C2512yes—
1555C22×C4C2512yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2511yescharacteristic
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2511yescharacteristic
1561C22×C4C2511yescharacteristic
1562C22×C4C2511yescharacteristic
1563C22×C4C2511yescharacteristic
1564C22×C4C2511yescharacteristic
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2511yescharacteristic
1568C4⋊C4—22no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—22no—
1578C4⋊C4—22no—
1579C4⋊C4—24no—
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—24no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—24no—
1600C4⋊C4—24no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—44no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—44no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—44no—
1620C4⋊C4C22×D414yes—
1621C4⋊C4C22×D414yes—
1622C4⋊C4C22×D414yes—
1623C4⋊C4C22×D414yes—
1624C4⋊C4C22×D414yes—
1625C4⋊C4C22×D414yes—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—28no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—24no—
1657C22⋊C4—24no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—44no—
1685C22⋊C4—44no—
1686C22⋊C4—44no—
1687C22⋊C4—44no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4C22×D414yes—
1697C22⋊C4C22×D414yes—
1698C22⋊C4C22×D414yes—
1699C22⋊C4C22×D414yes—
1700C22⋊C4C22×D414yes—
1701C22⋊C4C22×D414yes—
1702C42—24no—
1703C42—24no—
1704C42—24no—
1705C42—24no—
1706C42—24no—
1707C42—24no—
1708C42—24no—
1709C42—24no—
1710C42—24no—
1711C42—44no—
1712C42—44no—
1713C42—44no—
1714C42—44no—
1715C42—44no—
1716C42C22×D414yes—
1717C42C22×D414yes—
1718C42C22×D414yes—
1719C42C22×D414yes—
1720C42C22×D414yes—
1721C42C22×D414yes—
1722C42C22×D414yes—
1723C42C22×D414yes—
1724C42C22×D414yes—
1725C42C22×D414yes—
1726C23—22no—
1727C23—21no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—21no—
1732C23—21no—
1733C23—21no—
1734C23—22no—
1735C23—21no—
1736C23—21no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—22no—
1742C23—22no—
1743C23—22no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—22no—
1748C23—22no—
1749C23—24no—
1750C23—22no—
1751C23—22no—
1752C23—24no—
1753C23—24no—
1754C23—22no—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—24no—
1763C23—24no—
1764C23—24no—
1765C23—22no—
1766C23—48no—
1767C23—48no—
1768C23—48no—
1769C23—84no—
1770C23—84no—
1771C23—84no—
1772C23—84no—
1773C23—84no—
1774C23—84no—
1775C23—88no—
1776C23—84no—
1777C23—88no—
1778C23C23×D412yes—
1779C23C23×D412yes—
1780C23C23×D412yes—
1781C23#58514yes—
1782C23C2611yescharacteristic
1783Q8—44no—
1784Q8—44no—
1785Q8—44no—
1786Q8—44no—
1787Q8—84no—
1788Q8—84no—
1789Q8—84no—
1790D4—28no—
1791D4—44no—
1792D4—44no—
1793D4—44no—
1794D4—48no—
1795D4—44no—
1796D4—48no—
1797D4—48no—
1798D4—48no—
1799D4—48no—
1800D4—44no—
1801D4—44no—
1802D4—44no—
1803D4—84no—
1804D4—84no—
1805D4—84no—
1806D4—84no—
1807D4—84no—
1808D4—84no—
1809D4—84no—
1810D4—84no—
1811D4—88no—
1812D4—88no—
1813D4—88no—
1814D4—84no—
1815D4—84no—
1816D4—84no—
1817D4—84no—
1818D4—164no—
1819D4—164no—
1820D4—164no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—21no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—28no—
1836C2×C4—28no—
1837C2×C4—28no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—24no—
1850C2×C4—24no—
1851C2×C4—24no—
1852C2×C4—24no—
1853C2×C4—24no—
1854C2×C4—24no—
1855C2×C4—24no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—24no—
1861C2×C4—24no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—22no—
1868C2×C4—24no—
1869C2×C4—24no—
1870C2×C4—24no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—24no—
1876C2×C4—24no—
1877C2×C4—24no—
1878C2×C4—22no—
1879C2×C4—44no—
1880C2×C4—44no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—44no—
1884C2×C4—44no—
1885C2×C4—48no—
1886C2×C4—48no—
1887C2×C4—48no—
1888C2×C4—48no—
1889C2×C4—48no—
1890C2×C4—48no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—48no—
1894C2×C4—48no—
1895C2×C4—48no—
1896C2×C4—84no—
1897C2×C4—84no—
1898C2×C4—84no—
1899C2×C4—84no—
1900C2×C4—84no—
1901C2×C4—84no—
1902C2×C4—164no—
1903C2×C4C23×D412yes—
1904C2×C4C23×D412yes—
1905C2×C4C23×D412yes—
1906C2×C4C23×D412yes—
1907C2×C4C23×D412yes—
1908C2×C4C23×D412yes—
1909C2×C4C23×D412yes—
1910C2×C4C23×D412yes—
1911C2×C4C23×D412yes—
1912C2×C4C23×D412yes—
1913C2×C4C23×D412yes—
1914C2×C4C23×D412yes—
1915C2×C4#58512yes—
1916C2×C4#58512yes—
1917C22—24no—
1918C22—22no—
1919C22—22no—
1920C22—22no—
1921C22—22no—
1922C22—22no—
1923C22—22no—
1924C22—22no—
1925C22—22no—
1926C22—22no—
1927C22—24no—
1928C22—24no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—42no—
1944C22—42no—
1945C22—42no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—44no—
1952C22—44no—
1953C22—42no—
1954C22—44no—
1955C22—42no—
1956C22—44no—
1957C22—42no—
1958C22—42no—
1959C22—44no—
1960C22—44no—
1961C22—816no—
1962C22—816no—
1963C22C24×D411yescharacteristic
1964C22C2×#58512yes—
1965C22C2×#58511yescharacteristic
1966C22C2×#58511yescharacteristic
1967C22H(7,𝔽2)12yes—
1968C4—22no—
1969C4—22no—
1970C4—22no—
1971C4—22no—
1972C4—22no—
1973C4—22no—
1974C4—22no—
1975C4—22no—
1976C4—22no—
1977C4—22no—
1978C4—22no—
1979C4—42no—
1980C4—42no—
1981C4—42no—
1982C4—42no—
1983C4—42no—
1984C4—42no—
1985C4—42no—
1986C4—42no—
1987C4—42no—
1988C4—42no—
1989C4—42no—
1990C4—44no—
1991C4—44no—
1992C4—44no—
1993C4—44no—
1994C4#344914yes—
1995C2—42no—
1996C2—44no—
1997C2—42no—
1998C2—42no—
1999C2—82no—
2000C2—82no—
2001C2—82no—
2002C2—82no—
2003C2C2×#344911yescharacteristic
2004C2#6281111yescharacteristic
2005C2#6285211yescharacteristic
2006C2#6294112yes—
2007C2#6297012yes—
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×#3475C2semidirect
2. C2×#3460C2semidirect
3. #42153C2semidirect
4. #42151C2semidirect
5. #41957C2semidirect
6. #41955C2semidirect
7. #41387C2semidirect
8. #41381C2semidirect
9. #40506C2semidirect
10. #40500C2semidirect
11. #39869C2semidirect
12. #39844C2semidirect
13. #38378C2semidirect
14. #38372C2semidirect
15. #37619C2semidirect
16. #37554C2semidirect
17. #37553C2semidirect
18. #37551C2semidirect
19. #37279C2semidirect
20. #37278C2semidirect
21. #37269C2semidirect
22. #37268C2semidirect
23. #35568C2semidirect
24. #35567C2semidirect
25. #35292C2semidirect
26. #35261C2semidirect
27. #35260C2semidirect
28. #35237C2semidirect
29. #35232C2semidirect
30. #35210C2semidirect
31. #35130C2semidirect
32. #35102C2semidirect
33. #34963C2semidirect
34. #34909C2semidirect
35. #34189C2semidirect
37. C2×#556C22semidirect
39. C2×#554C22semidirect
42. C2×#552C22semidirect
43. C2×#552C22semidirect
45. C2×#551C22semidirect
48. C2×#546C22semidirect
50. C2×#544C22semidirect
52. C2×#542C22semidirect
53. C2×#542C22semidirect
56. C2×#540C22semidirect
58. C2×#538C22semidirect
61. C2×#535C22semidirect
62. C2×#533C22semidirect
65. C2×#532C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
71. C2×#529C22semidirect
72. C2×#529C22semidirect
75. C2×#525C22semidirect
78. C2×C4×#41C22semidirect
79. C2×C4×#41C22semidirect
80. C22×C4×D4C22semidirect
81. C22×C4×D4C22semidirect
82. C22×#117C22semidirect
83. #2857C22semidirect
84. #2856C22semidirect
85. #2852C22semidirect
86. #2851C22semidirect
87. #2850C22semidirect
88. #2849C22semidirect
89. #2848C22semidirect
92. #2847C22semidirect
93. #2821C22semidirect
94. #2821C22semidirect
95. #2820C22semidirect
96. #2819C22semidirect
97. #2816C22semidirect
98. #2816C22semidirect
99. #2814C22semidirect
100. #2813C22semidirect
101. #2732C22semidirect
102. #2730C22semidirect
103. #2730C22semidirect
104. #2728C22semidirect
105. #2719C22semidirect
106. #2716C22semidirect
107. #2714C22semidirect
108. #2711C22semidirect
110. #2708C22semidirect
112. #2698C22semidirect
114. #2694C22semidirect
115. #2688C22semidirect
116. #2687C22semidirect
117. #2685C22semidirect
121. #2678C22semidirect
122. #2677C22semidirect
123. #2676C22semidirect
124. #2674C22semidirect
126. #2671C22semidirect
127. #2670C22semidirect
130. #2668C22semidirect
131. #2668C22semidirect
132. #2668C22semidirect
133. #2664C22semidirect
134. #2663C22semidirect
135. #2663C22semidirect
136. #2662C22semidirect
137. #2658C22semidirect
138. #2656C22semidirect
139. #2640C22semidirect
140. #2639C22semidirect
141. #2638C22semidirect
142. #2638C22semidirect
143. #2637C22semidirect
144. #2636C22semidirect
145. #2636C22semidirect
147. #2633C22semidirect
148. #2633C22semidirect
150. #2631C22semidirect
151. #2631C22semidirect
152. #2630C22semidirect
153. #2629C22semidirect
154. #2628C22semidirect
155. #2625C22semidirect
158. #2624C22semidirect
159. #2624C22semidirect
160. #2623C22semidirect
161. #2620C22semidirect
162. #2619C22semidirect
163. #2615C22semidirect
164. #2613C22semidirect
165. #2611C22semidirect
166. #2611C22semidirect
167. #2610C22semidirect
168. #2609C22semidirect
169. #2603C22semidirect
170. #2603C22semidirect
171. #2603C22semidirect
172. #2602C22semidirect
173. #2601C22semidirect
174. #2600C22semidirect
175. #2599C22semidirect
176. #2598C22semidirect
177. #2598C22semidirect
178. #2598C22semidirect
179. #2592C22semidirect
180. #2592C22semidirect
181. #2584C22semidirect
182. #2581C22semidirect
183. #2581C22semidirect
184. #2580C22semidirect
185. #2580C22semidirect
186. #2580C22semidirect
187. #2580C22semidirect
188. #2580C22semidirect
189. #2580C22semidirect
190. #2563C22semidirect
191. #2562C22semidirect
192. #2561C22semidirect
193. #2560C22semidirect
194. #2559C22semidirect
195. #2558C22semidirect
196. #2557C22semidirect
197. #2555C22semidirect
198. #2554C22semidirect
199. #2554C22semidirect
200. #2553C22semidirect
201. #2548C22semidirect
202. #2546C22semidirect
205. #2540C22semidirect
207. #2536C22semidirect
208. #2536C22semidirect
213. #2535C22semidirect
214. #2535C22semidirect
215. #2519C22semidirect
216. #2504C22semidirect
217. #2498C22semidirect
218. #2491C22semidirect
219. #2487C22semidirect
220. #2486C22semidirect
221. #2485C22semidirect
222. #2485C22semidirect
223. #2482C22semidirect
224. #2481C22semidirect
225. #2479C22semidirect
226. #2477C22semidirect
227. #2476C22semidirect
228. #2476C22semidirect
229. #2474C22semidirect
230. #2472C22semidirect
231. #2471C22semidirect
232. #2471C22semidirect
233. #2470C22semidirect
234. #2464C22semidirect
235. #2464C22semidirect
236. #2461C22semidirect
237. #2452C22semidirect
238. #2449C22semidirect
239. #2445C22semidirect
240. #2443C22semidirect
241. #2443C22semidirect
242. #2433C22semidirect
243. #2432C22semidirect
244. #2430C22semidirect
245. #2430C22semidirect
246. #2428C22semidirect
247. #2424C22semidirect
248. #2424C22semidirect
249. #2418C22semidirect
250. #2417C22semidirect
251. #2416C22semidirect
252. #2416C22semidirect
253. #2416C22semidirect
254. #2415C22semidirect
255. #2414C22semidirect
256. #2414C22semidirect
257. #2414C22semidirect
258. #2408C22semidirect
259. #2408C22semidirect
260. #2407C22semidirect
261. #2407C22semidirect
262. #2407C22semidirect
264. #2404C22semidirect
265. #2398C22semidirect
267. #2395C22semidirect
271. #2356C22semidirect
272. #2356C22semidirect
273. #2353C22semidirect
274. #2353C22semidirect
275. #2353C22semidirect
276. #2353C22semidirect
277. #2328C22semidirect
278. #2325C22semidirect
279. #2324C22semidirect
280. #2324C22semidirect
281. #2324C22semidirect
282. #2324C22semidirect
283. #2323C22semidirect
284. #2321C22semidirect
285. #2314C22semidirect
286. #2314C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#120C22semidirect
293. #2290C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C2×#382C22semidirect
300. #2274C22semidirect
473. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34752
C2×#34602
#421532
#421512
#419572
#419552
#413872
#413812
#405062
#405002
#398692
#398442
#383782
#383722
#376192
#375542
#375532
#375512
#372792
#372782
#372692
#372682
#355682
#355672
#352922
#352612
#352602
#352372
#352322
#352102
#351302
#351022
#349632
#349092
#341892