Finite Group Databasebeta

← #7681049

Subgroups — #7681049

Order 512.

7965 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3489C211yesmaximal, characteristic
2C2×#3461C211yesmaximal, characteristic, complemented
3#59103C212yesmaximal, complemented
4#59098C212yesmaximal, complemented
5#59096C212yesmaximal, complemented
6#59061C212yesmaximal, complemented
7#59032C214yesmaximal, complemented
8#59031C214yesmaximal, complemented
9#45322C212yesmaximal, complemented
10#45175C212yesmaximal, complemented
11#45108C212yesmaximal, complemented
12#45095C212yesmaximal, complemented
13#43496C214yesmaximal, complemented
14#43026C214yesmaximal, complemented
15#39435C212yesmaximal, complemented
16#39432C212yesmaximal, complemented
17#37784C212yesmaximal, complemented
18#37783C212yesmaximal, complemented
19#37668C212yesmaximal, complemented
20#37663C212yesmaximal, complemented
21#36143C212yesmaximal, complemented
22#36130C212yesmaximal, complemented
23#35666C211yesmaximal, characteristic, complemented
24#35644C211yesmaximal, characteristic, complemented
25#35633C211yesmaximal, characteristic, complemented
26#35575C211yesmaximal, characteristic, complemented
27#35316C211yesmaximal, characteristic, complemented
28#35307C211yesmaximal, characteristic, complemented
29#35305C211yesmaximal, characteristic, complemented
30#34742C211yesmaximal, characteristic, complemented
31C2×#2429C211yesmaximal, characteristic, complemented
32#34267C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34#34259C211yesmaximal, characteristic, complemented
35C22⋊C4×#41C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3489—216no—
39C2×D4×Q8C2212yes—
40C2×#548C2212yes—
41C2×#547C2212yes—
42C2×#547C2214yes—
43C2×#546C2214yes—
44C2×#546C2212yes—
45#3461—216no—
46C2×#544C2211yescharacteristic, complemented
47C2×#542C2212yescomplemented
48C2×#542C2212yescomplemented
49C2×#541C2212yescomplemented
50C2×#541C2212yescomplemented
51C2×#539C2214yescomplemented
52C2×#537C2212yes—
53C2×#537C2211yescharacteristic
54C2×#536C2212yes—
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic, complemented
59C2×#533C2212yescomplemented
60C2×#533C2212yescomplemented
61C22×C4⋊Q8C2211yescharacteristic, complemented
62C2×#529C2212yescomplemented
63C2×#529C2214yescomplemented
64C2×#529C2212yescomplemented
65C2×#525C2212yes—
66C2×#525C2211yescharacteristic
67C22×C22⋊Q8C2212yes—
68C22×C22⋊Q8C2211yescharacteristic
69C22×C22⋊Q8C2211yescharacteristic
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic, complemented
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic, complemented
75C22×C4×Q8C2211yescharacteristic, complemented
76#2857C2212yescomplemented
77#2857C2212yescomplemented
78#2855C2212yescomplemented
79#2855C2212yescomplemented
80#2848C2212yes—
81#2848C2212yes—
82#2715C2214yescomplemented
83#2713C2214yescomplemented
84#2713C2214yescomplemented
85#2708C2214yescomplemented
86#2708C2214yescomplemented
87#2707C2214yescomplemented
88#2704C2214yes—
89#2701C2214yescomplemented
90#2700C2214yescomplemented
91#2698C2214yescomplemented
92#2698C2214yescomplemented
93#2697C2214yes—
94#2695C2214yescomplemented
95#2695C2214yescomplemented
96#2694C2214yescomplemented
97#2691C2214yescomplemented
98#2690C2214yes—
99#2689C2214yescomplemented
100#2689C2214yescomplemented
101#2687C2214yescomplemented
102#2687C2214yescomplemented
103#2686C2214yescomplemented
104#2684C2214yes—
105#2681C2214yescomplemented
106#2625C2212yescomplemented
107#2625C2212yescomplemented
108#2621C2212yescomplemented
109#2621C2212yescomplemented
110#2616C2212yes—
111#2616C2212yes—
112#2564C2214yescomplemented
113#2561C2214yes—
114#2559C2214yescomplemented
115#2558C2214yescomplemented
116#2556C2214yes—
117#2553C2214yescomplemented
118#2553C2214yescomplemented
119#2550C2214yescomplemented
120#2549C2214yescomplemented
121#2549C2214yescomplemented
122#2547C2212yescomplemented
123#2547C2212yescomplemented
124#2546C2212yescomplemented
125#2546C2212yescomplemented
126#2534C2214yes—
127#2534C2214yes—
128#2521C2214yescomplemented
129#2503C2214yescomplemented
130#2492C2212yes—
131#2492C2212yes—
132#2492C2212yescomplemented
133#2492C2212yescomplemented
134#2489C2212yes—
135#2489C2212yes—
136#2489C2212yescomplemented
137#2489C2212yescomplemented
138#2486C2214yescomplemented
139#2486C2214yescomplemented
140#2486C2214yescomplemented
141#2480C2214yes—
142#2480C2214yes—
143#2476C2214yescomplemented
144#2474C2214yescomplemented
145#2473C2214yescomplemented
146#2473C2214yescomplemented
147#2470C2214yescomplemented
148#2470C2214yescomplemented
149#2468C2214yes—
150#2466C2214yes—
151#2465C2214yes—
152#2458C2214yescomplemented
153#2454C2212yescomplemented
154#2453C2212yescomplemented
155#2452C2212yescomplemented
156#2451C2212yescomplemented
157#2451C2214yescomplemented
158#2450C2214yes—
159#2447C2214yescomplemented
160#2447C2212yescomplemented
161#2447C2212yescomplemented
162#2446C2212yescomplemented
163#2446C2212yescomplemented
164#2444C2214yescomplemented
165#2442C2214yescomplemented
166#2442C2212yescomplemented
167#2441C2212yescomplemented
168#2440C2212yescomplemented
169#2439C2212yescomplemented
170#2438C2214yescomplemented
171#2438C2214yescomplemented
172#2437C2214yes—
173#2435C2212yes—
174#2434C2212yes—
175#2434C2212yescomplemented
176#2434C2212yescomplemented
177#2434C2212yescomplemented
178#2434C2212yescomplemented
179#2432C2212yes—
180#2432C2212yes—
181#2432C2212yescomplemented
182#2432C2212yescomplemented
183#2432C2212yescomplemented
184#2432C2212yescomplemented
185#2429C2212yes—
186#2429C2212yes—
187#2429C2212yes—
188#2429C2212yes—
189#2429C2212yes—
190#2429C2212yescomplemented
191#2429C2212yescomplemented
192#2429C2212yescomplemented
193#2429C2212yescomplemented
194#2429C2212yescomplemented
195#2427C2212yes—
196#2427C2212yescomplemented
197#2427C2214yescomplemented
198#2425C2214yescomplemented
199#2423C2211yescharacteristic
200#2423C2211yescharacteristic, complemented
201#2422C2211yescharacteristic
202#2422C2211yescharacteristic, complemented
203#2421C2211yescharacteristic
204#2421C2211yescharacteristic, complemented
205#2420C2211yescharacteristic
206#2420C2214yescomplemented
207#2420C2211yescharacteristic, complemented
208#2419C2214yescomplemented
209#2419C2214yescomplemented
210#2419C2214yescomplemented
211#2419C2212yescomplemented
212#2419C2214yescomplemented
213#2419C2212yescomplemented
214#2418C2212yes—
215#2418C2214yes—
216#2418C2212yes—
217#2417C2212yes—
218#2417C2214yescomplemented
219#2417C2212yescomplemented
220#2415C2212yes—
221#2415C2212yescomplemented
222#2406C2214yes—
223#2406C2214yescomplemented
224#2406C2214yescomplemented
225#2405C2214yes—
226#2395C2212yes—
227#2395C2212yescomplemented
228C2×#398C2212yescomplemented
229C2×#396C2212yes—
230#2367C2212yescomplemented
231#2367C2212yescomplemented
232#2365C2212yescomplemented
233#2365C2212yescomplemented
234#2364C2214yescomplemented
235#2363C2212yescomplemented
236#2362C2212yescomplemented
237#2362C2212yescomplemented
238#2362C2212yescomplemented
239#2361C2214yescomplemented
240#2361C2212yescomplemented
241#2360C2212yescomplemented
242#2360C2214yescomplemented
243#2360C2212yescomplemented
244#2360C2212yescomplemented
245#2359C2214yes—
246#2349C2214yescomplemented
247#2342C2214yes—
248#2341C2211yescharacteristic
249#2341C2211yescharacteristic
250Q8×C22⋊C4C2211yescharacteristic
251Q8×C22⋊C4C2211yescharacteristic
252Q8×C22⋊C4C2212yescomplemented
253Q8×C22⋊C4C2212yescomplemented
254#2339C2211yescharacteristic
255#2339C2212yes—
256#2339C2211yescharacteristic
257#2339C2212yes—
258#2339C2212yescomplemented
259#2339C2214yescomplemented
260#2339C2212yescomplemented
261#2339C2214yescomplemented
262D4×C22⋊C4C2212yes—
263D4×C22⋊C4C2211yescharacteristic
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2211yescharacteristic
266#2324C2212yescomplemented
267#2323C2212yescomplemented
268#2322C2214yescomplemented
269#2316C2211yescharacteristic, complemented
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2212yescomplemented
273#2310C2212yescomplemented
274#2310C2211yescharacteristic, complemented
275#2310C2211yescharacteristic, complemented
276#2310C2211yescharacteristic, complemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#123C2212yes—
279C4×#123C2214yescomplemented
280C4×#123C2212yescomplemented
281C4×#121C2212yescomplemented
282#2297C2212yes—
283#2297C2211yescharacteristic
284#2297C2212yes—
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic, complemented
287#2297C2212yescomplemented
288#2296C2211yescharacteristic, complemented
289C2×#391C2211yescharacteristic, complemented
290C2×#391C2212yescomplemented
291C2×#389C2212yescomplemented
292C2×#389C2211yescharacteristic, complemented
293C2×#388C2212yes—
294#2285C2211yescharacteristic, complemented
295#2280C2212yes—
296#2280C2211yescharacteristic
297#2280C2211yescharacteristic
298#2274C2211yescharacteristic, complemented
299C2×C4×C22⋊C4C2212yes—
300C2×C4×C22⋊C4C2211yescharacteristic
301C2×2−1+4—28no—
302C2×2−1+4—28no—
303C2×2−1+4—44no—
304C22×#41—28no—
305C22×#41—28no—
306C22×#41—44no—
307C22×#41C2312yes—
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C22×#41C2312yes—
312C22×#41C2314yes—
313C22×#41C2312yes—
314C22×#41C2311yescharacteristic
315C22×#41C2311yescharacteristic
316C22×#41C2311yescharacteristic
317C23×Q8C2311yescharacteristic
318C23×Q8C2311yescharacteristic
319C23×Q8C2312yes—
320C23×Q8C2311yescharacteristic
321C23×Q8C2312yes—
322C23×D4C2312yes—
323C23×D4C2311yescharacteristic
324C24×C4C2311yescharacteristic
325C24×C4C2312yes—
326D4×Q8—216no—
327#548—216no—
328#547—216no—
329#547—232no—
330#546—232no—
331#546—216no—
332#544—28no—
333#542—216no—
334#542—216no—
335#541—216no—
336#541—216no—
337#539—232no—
338#537—216no—
339#537D4116yes—
340#536—28no—
341#536—28no—
342#536—28no—
343#536—28no—
344#536—216no—
345#533—216no—
346#533—216no—
347C2×C4⋊Q8—44no—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2312yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2314yes—
355C2×C4⋊Q8C2312yes—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2312yes—
359#529—232no—
360#529—216no—
361#529—216no—
362C2×#126C2314yes—
363C2×#126C2314yes—
364C2×#126C2314yes—
365C2×#126C2314yes—
366C2×#125C2314yes—
367C2×#125C2312yes—
368C2×#125C2312yes—
369C2×#125C2314yes—
370C2×#125C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2314yes—
376C2×#124C2312yes—
377#525—28no—
378#525—216no—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2312yes—
391C2×C22⋊Q8—216no—
392C2×C22⋊Q8—28no—
393C2×C22⋊Q8—44no—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#120C2312yes—
430C2×#120C2314yes—
431#520—28no—
432#520—44no—
433C4×#41—28no—
434C4×#41—28no—
435C4×#41—44no—
436C2×C4×Q8—28no—
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2311yescharacteristic
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2314yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4C2314yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2311yescharacteristic
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2312yes—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2314yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2314yes—
472C2×#117C2311yescharacteristic
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2312yes—
476C2×#117C2311yescharacteristic
477C2×#117C2311yescharacteristic
478C2×#117C2314yes—
479C2×#117C2314yes—
480C2×#117C2312yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C22×C4⋊C4C2311yescharacteristic
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2314yes—
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2311yescharacteristic
495C22×C22⋊C4C2312yes—
496C22×C22⋊C4C2312yes—
497C22×C22⋊C4C2311yescharacteristic
498C22×C22⋊C4C2314yes—
499C22×C22⋊C4C2311yescharacteristic
500C22×C22⋊C4C2312yes—
501C22×C22⋊C4C2312yes—
502C22×C42C2312yes—
503C22×C42C2311yescharacteristic
504C22×C42C2312yes—
505C22×C42C2311yescharacteristic
506C22×C42C2312yes—
507C22×C42C2312yes—
508#400C2314yes—
509#400C2314yes—
510#400C2314yes—
511#400C2312yes—
512#400C2312yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#399C2314yes—
518#399C2312yes—
519#399C2312yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2312yes—
531#398C2312yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2312yes—
552#397C2314yes—
553#397C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2314yes—
596#391C2314yes—
597#391C2312yes—
598#391C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2314yes—
617#391C2314yes—
618#391C2314yes—
619#391C2314yes—
620#391C2311yescharacteristic
621#391C2314yes—
622#391C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2311yescharacteristic
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2314yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2314yes—
647#389C2314yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2314yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2314yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2312yes—
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#382C2314yes—
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#382C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2312yes—
764#381C2312yes—
765#381C2312yes—
766#381C2314yes—
767#381C2314yes—
768#381C2312yes—
769#381C2312yes—
770#381C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2314yes—
797#380C2312yes—
798#380C2314yes—
799#379C2312yes—
800#379C2312yes—
801#379C2314yes—
802#379C2314yes—
803#379C2312yes—
804#379C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2311yescharacteristic
848C2×#95C2311yescharacteristic
849C2×#95C2312yes—
850C2×#95C2314yes—
851C2×#95C2312yes—
852C2×#95C2312yes—
853C2×#95C2314yes—
854C25C2411yescharacteristic
855C25C2412yes—
8562−1+4—464no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—28no—
860C2×#41—216no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—28no—
866C2×#41—216no—
867C2×#41—24no—
868C2×#41—28no—
869C2×#41—28no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—28no—
873C2×#41—28no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—44no—
878C2×#41—44no—
879C2×#41—48no—
880C2×#41—42no—
881C2×#41—42no—
882C2×#41—44no—
883C2×#41—44no—
884C2×#41—464no—
885C2×#41C2×D418yes—
886C2×#41C2×D418yes—
887C2×#41#4118yes—
888C22×Q8—28no—
889C22×Q8—24no—
890C22×Q8—24no—
891C22×Q8—28no—
892C22×Q8—24no—
893C22×Q8—24no—
894C22×Q8—28no—
895C22×Q8—24no—
896C22×Q8—28no—
897C22×Q8—24no—
898C22×Q8—24no—
899C22×Q8—24no—
900C22×Q8—42no—
901C22×Q8—44no—
902C22×Q8—44no—
903C22×Q8C2412yes—
904C22×Q8C2412yes—
905C22×Q8C2412yes—
906C22×Q8C2412yes—
907C22×Q8C2414yes—
908C22×Q8C2412yes—
909C22×Q8C2411yescharacteristic
910C22×Q8C2411yescharacteristic
911C22×Q8C2411yescharacteristic
912C22×Q8C2414yes—
913C22×D4—28no—
914C22×D4—24no—
915C22×D4—28no—
916C22×D4—24no—
917C22×D4—42no—
918C22×D4—44no—
919C22×D4C2412yes—
920C22×D4C2414yes—
921C22×D4C2412yes—
922C22×D4C2412yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2411yescharacteristic
926C22×D4C2412yes—
927C22×D4C2411yescharacteristic
928C22×D4C2412yes—
929C22×D4C2411yescharacteristic
930C22×D4C2412yes—
931C22×D4C2414yes—
932C23×C4—28no—
933C23×C4—24no—
934C23×C4—28no—
935C23×C4—24no—
936C23×C4—24no—
937C23×C4—44no—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C23×C4C2414yes—
948C23×C4C2412yes—
949C23×C4C2411yescharacteristic
950C23×C4C2412yes—
951C23×C4C2412yes—
952C23×C4C2414yes—
953C23×C4C2412yes—
954C23×C4C2412yes—
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2412yes—
958C23×C4C2412yes—
959C23×C4C2411yescharacteristic
960C23×C4C2414yes—
961C23×C4C2412yes—
962C23×C4C2412yes—
963C23×C4C2412yes—
964C23×C4C2412yes—
965C23×C4C2414yes—
966C23×C4C2412yes—
967C23×C4C2411yescharacteristic
968C4⋊Q8—28no—
969C4⋊Q8—28no—
970C4⋊Q8—28no—
971C4⋊Q8—28no—
972C4⋊Q8—28no—
973C4⋊Q8—28no—
974C4⋊Q8—216no—
975C4⋊Q8—44no—
976C4⋊Q8—44no—
977C4⋊Q8—44no—
978C4⋊Q8—44no—
979#126—216no—
980#126—216no—
981#126—216no—
982#126—216no—
983#125—216no—
984#125—28no—
985#125—28no—
986#125—216no—
987#125—216no—
988#124—28no—
989#124—28no—
990#124—216no—
991#124—28no—
992#124—28no—
993#124—216no—
994#123—28no—
995#123—216no—
996#123—216no—
997#123—216no—
998#123—216no—
999#123—216no—
1000#123—216no—
1001#123—216no—
1002#123—216no—
1003#123—216no—
1004#123—28no—
1005#123—44no—
1006C22⋊Q8—24no—
1007C22⋊Q8—24no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—28no—
1011C22⋊Q8—28no—
1012C22⋊Q8—216no—
1013C22⋊Q8—28no—
1014C22⋊Q8—28no—
1015C22⋊Q8—28no—
1016C22⋊Q8—28no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—216no—
1020C22⋊Q8—28no—
1021C22⋊Q8—28no—
1022C22⋊Q8—216no—
1023C22⋊Q8—216no—
1024C22⋊Q8—216no—
1025C22⋊Q8—216no—
1026C22⋊Q8—48no—
1027C22⋊Q8—44no—
1028C22⋊Q8—44no—
1029C22⋊Q8—44no—
1030C22⋊Q8—44no—
1031C22⋊Q8C2×D4116yes—
1032C22⋊Q8C2×D4116yes—
1033#121—24no—
1034#121—24no—
1035#121—216no—
1036#121—216no—
1037#121—216no—
1038#121C2×D4116yes—
1039#121C2×D4132yes—
1040#121C2×D4116yes—
1041#120—28no—
1042#120—216no—
1043C4×Q8—24no—
1044C4×Q8—24no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—28no—
1048C4×Q8—28no—
1049C4×Q8—28no—
1050C4×Q8—28no—
1051C4×Q8—28no—
1052C4×Q8—216no—
1053C4×Q8—42no—
1054C4×Q8—42no—
1055C4×Q8—44no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—216no—
1065C4×D4—216no—
1066C4×D4—216no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—216no—
1071C4×D4—42no—
1072C4×D4—42no—
1073C4×D4—44no—
1074C4×D4—48no—
1075C4×D4—44no—
1076C4×D4—44no—
1077C4×D4—48no—
1078#117—24no—
1079#117—24no—
1080#117—28no—
1081#117—28no—
1082#117—24no—
1083#117—24no—
1084#117—24no—
1085#117—28no—
1086#117—216no—
1087#117—216no—
1088#117—44no—
1089#117—44no—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—216no—
1095C2×C4⋊C4—44no—
1096C2×C4⋊C4—44no—
1097C2×C4⋊C4—44no—
1098C2×C4⋊C4—44no—
1099C2×C4⋊C4—44no—
1100C2×C4⋊C4C2×D418yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C22⋊C4—28no—
1160C2×C22⋊C4—216no—
1161C2×C22⋊C4—24no—
1162C2×C22⋊C4—28no—
1163C2×C22⋊C4—44no—
1164C2×C22⋊C4—42no—
1165C2×C22⋊C4—44no—
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2411yescharacteristic
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2411yescharacteristic
1229C2×C42—24no—
1230C2×C42—28no—
1231C2×C42—28no—
1232C2×C42—28no—
1233C2×C42—24no—
1234C2×C42—44no—
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2412yes—
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2414yes—
1246C2×C42C2412yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2414yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2414yes—
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2411yescharacteristic
1268#95C2411yescharacteristic
1269#95C2412yes—
1270#95C2411yescharacteristic
1271#95C2412yes—
1272#95C2412yes—
1273#95C2411yescharacteristic
1274#95C2412yes—
1275#95C2414yes—
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2412yes—
1310#95C2414yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2414yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322C24—22no—
1323C24—24no—
1324C24—22no—
1325C24—24no—
1326C24—22no—
1327C24—22no—
1328C24—24no—
1329C24—41no—
1330C24—42no—
1331C24—42no—
1332C24—41no—
1333C24—41no—
1334C24—42no—
1335C24—42no—
1336C24C2511yescharacteristic
1337C24C2512yes—
1338C24C2512yes—
1339C24C2512yes—
1340C24C2511yescharacteristic
1341C24C2511yescharacteristic
1342#41—232no—
1343#41—232no—
1344#41—232no—
1345#41—432no—
1346#41—432no—
1347#41—432no—
1348#41—432no—
1349#41—464no—
1350#41—416no—
1351#41—416no—
1352C2×Q8—22no—
1353C2×Q8—24no—
1354C2×Q8—24no—
1355C2×Q8—24no—
1356C2×Q8—28no—
1357C2×Q8—24no—
1358C2×Q8—24no—
1359C2×Q8—28no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—28no—
1365C2×Q8—24no—
1366C2×Q8—24no—
1367C2×Q8—24no—
1368C2×Q8—22no—
1369C2×Q8—22no—
1370C2×Q8—22no—
1371C2×Q8—24no—
1372C2×Q8—24no—
1373C2×Q8—24no—
1374C2×Q8—24no—
1375C2×Q8—44no—
1376C2×Q8—42no—
1377C2×Q8—44no—
1378C2×Q8—44no—
1379C2×Q8—432no—
1380C2×Q8—432no—
1381C2×Q8—416no—
1382C2×Q8—416no—
1383C2×Q8—416no—
1384C2×Q8C22×D414yes—
1385C2×Q8C22×D414yes—
1386C2×Q8C2×#4114yes—
1387C2×D4—24no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—22no—
1403C2×D4—24no—
1404C2×D4—22no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—44no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—44no—
1417C2×D4—42no—
1418C2×D4—42no—
1419C2×D4—432no—
1420C2×D4—416no—
1421C2×D4C22×D418yes—
1422C2×D4C22×D414yes—
1423C2×D4C22×D418yes—
1424C2×D4C22×D414yes—
1425C2×D4C22×D4116yes—
1426C2×D4C2×#4118yes—
1427C2×D4C2×#4114yes—
1428C22×C4—24no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—22no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—28no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—22no—
1445C22×C4—28no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—22no—
1451C22×C4—24no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—28no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—24no—
1465C22×C4—22no—
1466C22×C4—24no—
1467C22×C4—22no—
1468C22×C4—22no—
1469C22×C4—28no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—22no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—28no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—42no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—41no—
1488C22×C4—41no—
1489C22×C4—42no—
1490C22×C4—41no—
1491C22×C4—42no—
1492C22×C4—44no—
1493C22×C4—44no—
1494C22×C4—432no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—41no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—44no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—41no—
1508C22×C4—42no—
1509C22×C4—44no—
1510C22×C4—44no—
1511C22×C4—44no—
1512C22×C4—416no—
1513C22×C4C22×D418yes—
1514C22×C4C22×D418yes—
1515C22×C4C22×D418yes—
1516C22×C4C22×D414yes—
1517C22×C4C2×#4118yes—
1518C22×C4C2×#4114yes—
1519C22×C4H(5,𝔽2)14yes—
1520C22×C4C2512yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2514yes—
1526C22×C4C2514yes—
1527C22×C4C2511yescharacteristic
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2512yes—
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2511yescharacteristic
1536C22×C4C2512yes—
1537C22×C4C2512yes—
1538C22×C4C2512yes—
1539C22×C4C2514yes—
1540C22×C4C2514yes—
1541C22×C4C2512yes—
1542C22×C4C2512yes—
1543C22×C4C2512yes—
1544C22×C4C2511yescharacteristic
1545C22×C4C2511yescharacteristic
1546C22×C4C2511yescharacteristic
1547C22×C4C2511yescharacteristic
1548C22×C4C2511yescharacteristic
1549C4⋊C4—22no—
1550C4⋊C4—24no—
1551C4⋊C4—28no—
1552C4⋊C4—28no—
1553C4⋊C4—28no—
1554C4⋊C4—28no—
1555C4⋊C4—28no—
1556C4⋊C4—28no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—22no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—28no—
1567C4⋊C4—28no—
1568C4⋊C4—28no—
1569C4⋊C4—28no—
1570C4⋊C4—28no—
1571C4⋊C4—24no—
1572C4⋊C4—28no—
1573C4⋊C4—28no—
1574C4⋊C4—28no—
1575C4⋊C4—22no—
1576C4⋊C4—22no—
1577C4⋊C4—28no—
1578C4⋊C4—28no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—24no—
1584C4⋊C4—24no—
1585C4⋊C4—28no—
1586C4⋊C4—24no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—42no—
1596C4⋊C4—42no—
1597C4⋊C4—42no—
1598C4⋊C4—42no—
1599C4⋊C4—44no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—44no—
1603C4⋊C4—42no—
1604C4⋊C4C22×D418yes—
1605C4⋊C4C22×D4116yes—
1606C4⋊C4C22×D418yes—
1607C22⋊C4—28no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—28no—
1619C22⋊C4—24no—
1620C22⋊C4—28no—
1621C22⋊C4—28no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—22no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—28no—
1632C22⋊C4—28no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—22no—
1636C22⋊C4—24no—
1637C22⋊C4—22no—
1638C22⋊C4—24no—
1639C22⋊C4—22no—
1640C22⋊C4—24no—
1641C22⋊C4—22no—
1642C22⋊C4—24no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—41no—
1646C22⋊C4—41no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—42no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C22⋊C4—42no—
1653C22⋊C4—42no—
1654C22⋊C4—42no—
1655C22⋊C4—44no—
1656C22⋊C4—42no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—42no—
1660C22⋊C4—42no—
1661C22⋊C4—42no—
1662C22⋊C4—42no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4C22×D4116yes—
1668C22⋊C4C22×D4116yes—
1669C22⋊C42−1+414yescomplemented
1670C42—22no—
1671C42—22no—
1672C42—28no—
1673C42—24no—
1674C42—24no—
1675C42—22no—
1676C42—22no—
1677C42—24no—
1678C42—24no—
1679C42—24no—
1680C42—24no—
1681C42—28no—
1682C42—28no—
1683C42—24no—
1684C42—24no—
1685C42—22no—
1686C42—22no—
1687C42—22no—
1688C42—22no—
1689C42—24no—
1690C42—42no—
1691C42—42no—
1692C42—44no—
1693C42—44no—
1694C42—44no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—22no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—21no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—21no—
1719C23—22no—
1720C23—22no—
1721C23—22no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—21no—
1730C23—48no—
1731C23—44no—
1732C23—44no—
1733C23—44no—
1734C23—48no—
1735C23—48no—
1736C23—44no—
1737C23—82no—
1738C23—82no—
1739C23—82no—
1740C23—84no—
1741C23—84no—
1742C23—84no—
1743C23—84no—
1744C23C23×D414yes—
1745C23C23×D414yes—
1746C23C23×D412yes—
1747C23C22×#4114yes—
1748C23C22×#4112yes—
1749C23C2×H(5,𝔽2)12yes—
1750C23C2×2−1+412yes—
1751C23C2611yescharacteristic
1752Q8—28no—
1753Q8—28no—
1754Q8—28no—
1755Q8—416no—
1756Q8—48no—
1757Q8—48no—
1758Q8—48no—
1759Q8—48no—
1760Q8—48no—
1761Q8—88no—
1762D4—216no—
1763D4—216no—
1764D4—216no—
1765D4—28no—
1766D4—28no—
1767D4—28no—
1768D4—416no—
1769D4—48no—
1770D4—48no—
1771D4—48no—
1772D4—48no—
1773D4—416no—
1774D4—84no—
1775C2×C4—21no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—24no—
1785C2×C4—24no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—216no—
1790C2×C4—216no—
1791C2×C4—216no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—24no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—24no—
1816C2×C4—24no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—24no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—48no—
1853C2×C4—48no—
1854C2×C4—44no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—44no—
1858C2×C4—44no—
1859C2×C4—48no—
1860C2×C4—48no—
1861C2×C4—416no—
1862C2×C4—416no—
1863C2×C4—44no—
1864C2×C4—48no—
1865C2×C4—48no—
1866C2×C4—44no—
1867C2×C4—44no—
1868C2×C4—44no—
1869C2×C4—44no—
1870C2×C4—88no—
1871C2×C4—84no—
1872C2×C4—84no—
1873C2×C4—82no—
1874C2×C4—84no—
1875C2×C4—84no—
1876C2×C4—84no—
1877C2×C4—164no—
1878C2×C4#546116yes—
1879C2×C4C23×D418yes—
1880C2×C4C23×D414yes—
1881C2×C4C23×D414yes—
1882C2×C4C23×D412yes—
1883C2×C4C23×D412yes—
1884C2×C4C22×#4114yes—
1885C2×C4C22×#4112yes—
1886C2×C4C22×#4112yes—
1887C2×C4C2×H(5,𝔽2)12yes—
1888C2×C4C2×H(5,𝔽2)12yes—
1889C2×C4C2×2−1+412yes—
1890C2×C4C2×2−1+412yes—
1891C2×C4#58512yes—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—24no—
1899C22—24no—
1900C22—24no—
1901C22—24no—
1902C22—22no—
1903C22—22no—
1904C22—24no—
1905C22—24no—
1906C22—22no—
1907C22—24no—
1908C22—24no—
1909C22—24no—
1910C22—42no—
1911C22—41no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—41no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—41no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—41no—
1932C22—41no—
1933C22—88no—
1934C22—816no—
1935C22C2×#54614yes—
1936C22C24×D411yescharacteristic
1937C22C23×#4111yescharacteristic
1938C22C22×H(5,𝔽2)11yescharacteristic
1939C22C22×2−1+411yescharacteristic
1940C22C2×#58511yescharacteristic
1941C222−1+611yescharacteristic
1942C222−1+611yescharacteristic
1943C4—28no—
1944C4—22no—
1945C4—22no—
1946C4—24no—
1947C4—24no—
1948C4—24no—
1949C4—22no—
1950C4—41no—
1951C4—41no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—41no—
1956C4—42no—
1957C4—42no—
1958C4—42no—
1959C4—42no—
1960C4—42no—
1961C4—41no—
1962C4—42no—
1963C4—41no—
1964C4—41no—
1965C4—44no—
1966C4—44no—
1967C4—41no—
1968C4—44no—
1969C4—42no—
1970C4C2×#54614yes—
1971C4C2×#54614yes—
1972C2—24no—
1973C2—44no—
1974C2—44no—
1975C2—44no—
1976C2—42no—
1977C2—81no—
1978C2C22×#54611yescharacteristic
1979C2#6280511yescharacteristic
1980C2#6286111yescharacteristic
1981C2#6294211yescharacteristic
1982C2#6295411yescharacteristic
1983C2#6298811yescharacteristic
1984C2D4×2−1+411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#3489C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#3461C2semidirect
3. #59103C2semidirect
4. #59098C2semidirect
5. #59096C2semidirect
6. #59061C2semidirect
7. #59032C2semidirect
8. #59031C2semidirect
9. #45322C2semidirect
10. #45175C2semidirect
11. #45108C2semidirect
12. #45095C2semidirect
13. #43496C2semidirect
14. #43026C2semidirect
15. #39435C2semidirect
16. #39432C2semidirect
17. #37784C2semidirect
18. #37783C2semidirect
19. #37668C2semidirect
20. #37663C2semidirect
21. #36143C2semidirect
22. #36130C2semidirect
23. #35666C2semidirect
24. #35644C2semidirect
25. #35633C2semidirect
26. #35575C2semidirect
27. #35316C2semidirect
28. #35307C2semidirect
29. #35305C2semidirect
30. #34742C2semidirect
31. C2×#2429C2semidirect
32. #34267C2semidirect
33. #34266C2semidirect
34. #34259C2semidirect
35. C22⋊C4×#41C2semidirect
46. C2×#544C22semidirect
47. C2×#542C22semidirect
48. C2×#542C22semidirect
49. C2×#541C22semidirect
50. C2×#541C22semidirect
51. C2×#539C22semidirect
58. C2×#536C22semidirect
59. C2×#533C22semidirect
60. C2×#533C22semidirect
61. C22×C4⋊Q8C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
71. C2×#520C22semidirect
74. C2×C4×#41C22semidirect
75. C22×C4×Q8C22semidirect
76. #2857C22semidirect
77. #2857C22semidirect
78. #2855C22semidirect
79. #2855C22semidirect
82. #2715C22semidirect
83. #2713C22semidirect
84. #2713C22semidirect
85. #2708C22semidirect
86. #2708C22semidirect
87. #2707C22semidirect
89. #2701C22semidirect
90. #2700C22semidirect
91. #2698C22semidirect
92. #2698C22semidirect
94. #2695C22semidirect
95. #2695C22semidirect
96. #2694C22semidirect
97. #2691C22semidirect
99. #2689C22semidirect
100. #2689C22semidirect
101. #2687C22semidirect
102. #2687C22semidirect
103. #2686C22semidirect
105. #2681C22semidirect
106. #2625C22semidirect
107. #2625C22semidirect
108. #2621C22semidirect
109. #2621C22semidirect
112. #2564C22semidirect
114. #2559C22semidirect
115. #2558C22semidirect
117. #2553C22semidirect
118. #2553C22semidirect
119. #2550C22semidirect
120. #2549C22semidirect
121. #2549C22semidirect
122. #2547C22semidirect
123. #2547C22semidirect
124. #2546C22semidirect
125. #2546C22semidirect
128. #2521C22semidirect
129. #2503C22semidirect
132. #2492C22semidirect
133. #2492C22semidirect
136. #2489C22semidirect
137. #2489C22semidirect
138. #2486C22semidirect
139. #2486C22semidirect
140. #2486C22semidirect
143. #2476C22semidirect
144. #2474C22semidirect
145. #2473C22semidirect
146. #2473C22semidirect
147. #2470C22semidirect
148. #2470C22semidirect
152. #2458C22semidirect
153. #2454C22semidirect
154. #2453C22semidirect
155. #2452C22semidirect
156. #2451C22semidirect
157. #2451C22semidirect
159. #2447C22semidirect
160. #2447C22semidirect
161. #2447C22semidirect
162. #2446C22semidirect
163. #2446C22semidirect
164. #2444C22semidirect
165. #2442C22semidirect
166. #2442C22semidirect
167. #2441C22semidirect
168. #2440C22semidirect
169. #2439C22semidirect
170. #2438C22semidirect
171. #2438C22semidirect
175. #2434C22semidirect
176. #2434C22semidirect
177. #2434C22semidirect
178. #2434C22semidirect
181. #2432C22semidirect
182. #2432C22semidirect
183. #2432C22semidirect
184. #2432C22semidirect
190. #2429C22semidirect
191. #2429C22semidirect
192. #2429C22semidirect
193. #2429C22semidirect
194. #2429C22semidirect
196. #2427C22semidirect
197. #2427C22semidirect
198. #2425C22semidirect
200. #2423C22semidirect
202. #2422C22semidirect
204. #2421C22semidirect
206. #2420C22semidirect
207. #2420C22semidirect
208. #2419C22semidirect
209. #2419C22semidirect
210. #2419C22semidirect
211. #2419C22semidirect
212. #2419C22semidirect
213. #2419C22semidirect
218. #2417C22semidirect
219. #2417C22semidirect
221. #2415C22semidirect
223. #2406C22semidirect
224. #2406C22semidirect
227. #2395C22semidirect
228. C2×#398C22semidirect
230. #2367C22semidirect
231. #2367C22semidirect
232. #2365C22semidirect
233. #2365C22semidirect
234. #2364C22semidirect
235. #2363C22semidirect
236. #2362C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
246. #2349C22semidirect
252. Q8×C22⋊C4C22semidirect
253. Q8×C22⋊C4C22semidirect
258. #2339C22semidirect
259. #2339C22semidirect
260. #2339C22semidirect
261. #2339C22semidirect
266. #2324C22semidirect
267. #2323C22semidirect
268. #2322C22semidirect
269. #2316C22semidirect
272. #2311C22semidirect
273. #2310C22semidirect
274. #2310C22semidirect
275. #2310C22semidirect
276. #2310C22semidirect
277. C4×C22⋊Q8C22semidirect
279. C4×#123C22semidirect
280. C4×#123C22semidirect
281. C4×#121C22semidirect
286. #2297C22semidirect
287. #2297C22semidirect
288. #2296C22semidirect
289. C2×#391C22semidirect
290. C2×#391C22semidirect
291. C2×#389C22semidirect
292. C2×#389C22semidirect
294. #2285C22semidirect
298. #2274C22semidirect
1669. C22⋊C42−1+4semidirect

Maximal subgroups

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

subgroupindex
C2×#34892
C2×#34612
#591032
#590982
#590962
#590612
#590322
#590312
#453222
#451752
#451082
#450952
#434962
#430262
#394352
#394322
#377842
#377832
#376682
#376632
#361432
#361302
#356662
#356442
#356332
#355752
#353162
#353072
#353052
#347422
C2×#24292
#342672
#342662
#342592
C22⋊C4×#412