Finite Group Databasebeta

← #7658888

Subgroups — #7658888

Order 512.

6954 conjugacy classes of subgroups.

The subgroup lattice has 1976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3510C211yesmaximal, characteristic, complemented
2C2×#3514C211yesmaximal, characteristic, complemented
3#42390C212yesmaximal, complemented
4#42303C212yesmaximal, complemented
5#42294C212yesmaximal, complemented
6#42170C212yesmaximal, complemented
7#41992C212yesmaximal, complemented
8#41960C212yesmaximal, complemented
9#41949C212yesmaximal, complemented
10#41943C214yesmaximal, complemented
11#41932C212yesmaximal, complemented
12#40607C212yesmaximal, complemented
13#40602C212yesmaximal, complemented
14#40595C212yesmaximal, complemented
15#40590C212yesmaximal, complemented
16#40535C214yesmaximal, complemented
17#40514C214yesmaximal, complemented
18#37608C211yesmaximal, characteristic, complemented
19#37606C211yesmaximal, characteristic, complemented
20#37606C211yesmaximal, characteristic, complemented
21#37555C211yesmaximal, characteristic, complemented
22#37554C211yesmaximal, characteristic, complemented
23#37546C211yesmaximal, characteristic, complemented
24#37541C211yesmaximal, characteristic, complemented
25#37541C211yesmaximal, characteristic, complemented
26#37537C211yesmaximal, characteristic, complemented
27#36687C211yesmaximal, characteristic, complemented
28#36684C211yesmaximal, characteristic, complemented
29C2×#2819C211yesmaximal, characteristic, complemented
30#36079C212yesmaximal, complemented
31#35940C212yesmaximal, complemented
32#35922C212yesmaximal, complemented
33#35762C214yesmaximal, complemented
34#35683C212yesmaximal, complemented
35#34191C211yesmaximal, characteristic, complemented
36#3514—216no—
37#3510—216no—
38C2×#559C2211yescharacteristic, complemented
39C2×#559C2212yescomplemented
40C2×#559C2212yescomplemented
41C2×#556C2212yescomplemented
42C2×#556C2211yescharacteristic, complemented
43C2×#556C2212yescomplemented
44C2×#555C2212yescomplemented
45C2×#551C2212yes—
46C2×#551C2212yes—
47C2×#551C2212yes—
48C2×#551C2212yescomplemented
49C2×#551C2212yescomplemented
50C2×#551C2212yescomplemented
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2211yescharacteristic, complemented
54C2×#546C2212yes—
55C2×#546C2211yescharacteristic
56C2×#546C2211yescharacteristic, complemented
57C2×D42C2211yescharacteristic
58C2×#542C2212yescomplemented
59C2×#542C2211yescharacteristic, complemented
60C2×#542C2211yescharacteristic, complemented
61C2×#542C2211yescharacteristic, complemented
62C2×#542C2211yescharacteristic, complemented
63C2×#538C2212yes—
64C2×#538C2212yescomplemented
65C2×#536C2211yescharacteristic
66C2×#535C2211yescharacteristic
67C2×#533C2211yescharacteristic, complemented
68C2×#532C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic, complemented
71C2×#529C2211yescharacteristic, complemented
72C2×#529C2211yescharacteristic, complemented
73C2×#529C2211yescharacteristic, complemented
74C2×#529C2211yescharacteristic, complemented
75C2×#529C2211yescharacteristic, complemented
76C22×#124C2211yescharacteristic
77C22×#124C2211yescharacteristic, complemented
78C22×#124C2211yescharacteristic, complemented
79C2×#519C2211yescharacteristic, complemented
80C2×#518C2212yes—
81C2×#518C2211yescharacteristic, complemented
82C2×C4×#41C2211yescharacteristic
83#2823C2214yescomplemented
84#2822C2211yescharacteristic, complemented
85#2822C2211yescharacteristic, complemented
86#2821C2212yescomplemented
87#2820C2211yescharacteristic, complemented
88#2820C2211yescharacteristic, complemented
89#2820C2211yescharacteristic, complemented
90#2820C2211yescharacteristic, complemented
91#2820C2211yescharacteristic, complemented
92#2820C2211yescharacteristic, complemented
93#2820C2211yescharacteristic, complemented
94#2820C2211yescharacteristic, complemented
95#2819C2212yes—
96#2819C2211yescharacteristic
97#2819C2211yescharacteristic
98#2819C2212yescomplemented
99#2819C2212yescomplemented
100#2819C2211yescharacteristic, complemented
101#2819C2214yescomplemented
102#2819C2211yescharacteristic, complemented
103#2819C2212yescomplemented
104#2819C2211yescharacteristic, complemented
105#2819C2211yescharacteristic, complemented
106#2818C2212yescomplemented
107#2816C2212yescomplemented
108#2815C2212yescomplemented
109#2814C2212yescomplemented
110#2814C2212yescomplemented
111#2813C2214yescomplemented
112#2813C2212yescomplemented
113#2813C2212yescomplemented
114#2733C2214yescomplemented
115#2731C2214yescomplemented
116#2730C2214yescomplemented
117#2729C2214yescomplemented
118#2727C2214yescomplemented
119#2716C2214yescomplemented
120#2714C2214yescomplemented
121#2712C2214yescomplemented
122#2705C2214yescomplemented
123#2702C2214yescomplemented
124#2687C2214yescomplemented
125#2686C2214yescomplemented
126#2684C2214yescomplemented
127#2681C2214yescomplemented
128#2678C2214yescomplemented
129#2677C2214yescomplemented
130#2676C2214yescomplemented
131#2676C2214yescomplemented
132#2674C2214yescomplemented
133#2673C2214yescomplemented
134#2672C2214yescomplemented
135#2671C2214yescomplemented
136#2670C2214yescomplemented
137#2669C2214yescomplemented
138#2663C2212yescomplemented
139#2663C2212yescomplemented
140#2662C2212yescomplemented
141#2662C2214yescomplemented
142#2662C2212yescomplemented
143#2662C2214yescomplemented
144#2661C2212yescomplemented
145#2661C2212yescomplemented
146#2659C2212yescomplemented
147#2658C2212yescomplemented
148#2656C2212yescomplemented
149#2640C2212yescomplemented
150#2639C2212yes—
151#2639C2212yescomplemented
152#2638C2212yescomplemented
153#2638C2212yescomplemented
154#2637C2212yescomplemented
155#2637C2214yescomplemented
156#2637C2212yescomplemented
157#2636C2212yescomplemented
158#2636C2212yescomplemented
159#2636C2214yescomplemented
160#2635C2212yescomplemented
161#2635C2212yescomplemented
162#2632C2212yescomplemented
163#2632C2212yescomplemented
164#2632C2212yescomplemented
165#2632C2212yescomplemented
166#2631C2212yescomplemented
167#2631C2212yescomplemented
168#2630C2214yescomplemented
169#2630C2214yescomplemented
170#2628C2212yescomplemented
171#2628C2212yescomplemented
172#2626C2212yescomplemented
173#2626C2214yescomplemented
174#2621C2212yescomplemented
175#2620C2214yescomplemented
176#2619C2212yescomplemented
177#2618C2214yescomplemented
178#2617C2212yescomplemented
179#2614C2212yescomplemented
180#2614C2212yescomplemented
181#2613C2212yescomplemented
182#2613C2212yescomplemented
183#2610C2212yescomplemented
184#2610C2212yescomplemented
185#2610C2212yescomplemented
186#2610C2212yescomplemented
187#2609C2214yescomplemented
188#2604C2212yescomplemented
189#2604C2212yescomplemented
190#2603C2212yescomplemented
191#2603C2212yescomplemented
192#2601C2214yescomplemented
193#2601C2214yescomplemented
194#2599C2212yescomplemented
195#2599C2212yescomplemented
196#2598C2212yescomplemented
197#2598C2212yescomplemented
198#2592C2212yescomplemented
199#2581C2212yescomplemented
200#2580C2212yescomplemented
201#2564C2212yescomplemented
202#2564C2212yescomplemented
203#2561C2212yescomplemented
204#2561C2212yescomplemented
205#2560C2214yescomplemented
206#2557C2214yescomplemented
207#2555C2214yescomplemented
208#2554C2214yescomplemented
209#2545C2214yescomplemented
210#2543C2212yescomplemented
211#2543C2212yescomplemented
212#2540C2212yescomplemented
213#2539C2212yes—
214#2539C2212yescomplemented
215#2536C2212yescomplemented
216#2535C2212yescomplemented
217#2534C2214yescomplemented
218#2534C2214yescomplemented
219#2534C2214yescomplemented
220#2498C2212yescomplemented
221#2498C2212yescomplemented
222#2491C2214yescomplemented
223#2482C2212yescomplemented
224#2482C2212yescomplemented
225#2479C2214yescomplemented
226#2477C2214yescomplemented
227#2472C2214yescomplemented
228#2469C2214yescomplemented
229#2467C2214yescomplemented
230#2467C2214yescomplemented
231#2465C2214yescomplemented
232#2464C2214yescomplemented
233#2463C2214yescomplemented
234#2463C2214yescomplemented
235#2461C2214yescomplemented
236#2459C2214yescomplemented
237#2458C2214yescomplemented
238#2458C2214yescomplemented
239#2456C2214yescomplemented
240#2456C2214yescomplemented
241#2455C2214yescomplemented
242#2452C2214yescomplemented
243#2438C2214yescomplemented
244#2437C2214yescomplemented
245#2435C2212yes—
246#2434C2212yescomplemented
247#2430C2212yescomplemented
248#2430C2212yescomplemented
249#2425C2214yescomplemented
250#2424C2214yescomplemented
251#2419C2214yes—
252#2418C2214yes—
253#2418C2214yescomplemented
254#2417C2214yescomplemented
255#2416C2214yescomplemented
256#2411C2214yes—
257#2411C2214yescomplemented
258#2410C2214yes—
259#2409C2212yescomplemented
260#2408C2214yescomplemented
261#2408C2212yescomplemented
262#2405C2214yes—
263#2403C2214yes—
264#2398C2212yescomplemented
265#2397C2212yescomplemented
266#2396C2212yescomplemented
267#2396C2212yescomplemented
268#2392C2212yescomplemented
269#2392C2214yescomplemented
270#2392C2212yescomplemented
271#2392C2214yescomplemented
272#2388C2212yescomplemented
273#2388C2212yescomplemented
274C2×#394C2214yescomplemented
275C2×#393C2212yescomplemented
276C2×#393C2212yescomplemented
277C2×#392C2212yes—
278C2×#392C2212yescomplemented
279#2359C2214yescomplemented
280#2358C2214yescomplemented
281#2355C2212yescomplemented
282#2352C2212yes—
283#2352C2212yescomplemented
284D4×C4⋊C4C2212yescomplemented
285#2346C2212yescomplemented
286#2343C2212yescomplemented
287#2343C2212yescomplemented
288#2342C2214yescomplemented
289#2339C2212yes—
290D4×C22⋊C4C2214yescomplemented
291#2320C2212yescomplemented
292#2318C2212yes—
293#2318C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298C2×#382C2211yescharacteristic, complemented
299C2×#382C2211yescharacteristic, complemented
300#2275C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C23×D4C2314yes—
312#559—28no—
313#559—216no—
314#559—216no—
315#556—216no—
316#556—216no—
317#556—28no—
318#555—216no—
319#551—216no—
320#551—216no—
321#551—216no—
322#551—216no—
323#551—216no—
324#551—216no—
325D4×Q8—28no—
326#548—28no—
327#548—28no—
328#546—216no—
329#546—28no—
330#546—28no—
331D42—28no—
332#542—216no—
333#542—28no—
334#542—28no—
335#542—28no—
336#542—28no—
337#538—216no—
338#538—216no—
339#536—28no—
340#535—28no—
341#533—28no—
342#532—28no—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2311yescharacteristic
346C2×C4⋊Q8C2312yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2314yes—
349C2×#127C2311yescharacteristic
350C2×#127C2312yes—
351#529—28no—
352#529—28no—
353#529—28no—
354#529—28no—
355#529—28no—
356#529—28no—
357#529—28no—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2312yes—
370C2×#126C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#124—28no—
375C2×#124—28no—
376C2×#124—28no—
377C2×#124C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2311yescharacteristic
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2311yescharacteristic
392C2×#124C2311yescharacteristic
393C2×#124C2312yes—
394C2×#124C2312yes—
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#124C2312yes—
399C2×#124C2312yes—
400C2×#124C2312yes—
401C2×#124C2312yes—
402C2×#124C2312yes—
403C2×#124C2314yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2312yes—
415C2×#123C2312yes—
416C2×#123C2312yes—
417C2×#123C2312yes—
418C2×#123C2312yes—
419C2×#123C2312yes—
420C2×#123C2312yes—
421C2×#123C2314yes—
422C2×#123C2314yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2311yescharacteristic
425C2×C22⋊Q8C2311yescharacteristic
426C2×C22⋊Q8C2311yescharacteristic
427C2×C22⋊Q8C2311yescharacteristic
428C2×C22⋊Q8C2311yescharacteristic
429C2×C22⋊Q8C2312yes—
430C2×C22⋊Q8C2311yescharacteristic
431C2×C22⋊Q8C2311yescharacteristic
432C2×C22⋊Q8C2312yes—
433C2×C22⋊Q8C2312yes—
434C2×C22⋊Q8C2312yes—
435C2×C22⋊Q8C2312yes—
436C2×C22⋊Q8C2312yes—
437C2×C22⋊Q8C2312yes—
438C2×C22⋊Q8C2312yes—
439C2×C22⋊Q8C2312yes—
440C2×C22⋊Q8C2312yes—
441C2×C22⋊Q8C2314yes—
442C2×C22⋊Q8C2314yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2311yescharacteristic
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#121C2312yes—
450C2×#121C2311yescharacteristic
451C2×#121C2311yescharacteristic
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#121C2314yes—
460C2×#121C2314yes—
461C2×#121C2314yes—
462C2×#120C2312yes—
463C2×#120C2312yes—
464C2×#120C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2312yes—
468C2×#120C2314yes—
469C2×#120C2314yes—
470C2×#120C2314yes—
471#519—28no—
472#518—216no—
473#518—28no—
474C4×#41D4116yescomplemented
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2312yes—
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2311yescharacteristic
483C2×C4×Q8C2312yes—
484C2×C4×Q8C2312yes—
485C2×C4×Q8C2312yes—
486C2×C4×Q8C2311yescharacteristic
487C2×C4×Q8C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2312yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2314yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2314yes—
514C2×C4×D4C2311yescharacteristic
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2311yescharacteristic
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2312yes—
528C2×#117C2312yes—
529C2×#117C2311yescharacteristic
530C2×#117C2312yes—
531C2×#117C2311yescharacteristic
532C2×#117C2312yes—
533C2×#117C2311yescharacteristic
534C2×#117C2311yescharacteristic
535C2×#117C2311yescharacteristic
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2312yes—
538C22×C22⋊C4C2312yes—
539C22×C22⋊C4C2312yes—
540C22×C22⋊C4C2312yes—
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2312yes—
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2312yes—
547C22×C22⋊C4C2312yes—
548C22×C22⋊C4C2314yes—
549C22×C22⋊C4C2314yes—
550C22×C42C2311yescharacteristic
551C22×C42C2311yescharacteristic
552C22×C42C2311yescharacteristic
553#400C2312yes—
554#400C2312yes—
555#400C2314yes—
556#400C2312yes—
557#400C2312yes—
558#400C2314yes—
559#399C2312yes—
560#399C2312yes—
561#399C2312yes—
562#399C2312yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2314yes—
568#399C2314yes—
569#399C2314yes—
570#399C2314yes—
571#398C2314yes—
572#398C2314yes—
573#398C2314yes—
574#398C2312yes—
575#398C2312yes—
576#398C2314yes—
577#398C2312yes—
578#398C2312yes—
579#398C2314yes—
580#398C2314yes—
581#398C2314yes—
582#397C2314yes—
583#397C2312yes—
584#397C2312yes—
585#397C2312yes—
586#397C2312yes—
587#397C2312yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2314yes—
592#397C2314yes—
593#397C2314yes—
594#397C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#396C2314yes—
604#396C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#395C2312yes—
612#395C2312yes—
613#395C2312yes—
614#395C2312yes—
615#395C2312yes—
616#395C2312yes—
617#395C2312yes—
618#395C2312yes—
619#395C2314yes—
620#395C2314yes—
621#395C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2312yes—
627#394C2312yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2314yes—
633#394C2314yes—
634#394C2314yes—
635#394C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2312yes—
644#394C2312yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#393C2314yes—
659#393C2312yes—
660#393C2312yes—
661#393C2312yes—
662#393C2312yes—
663#393C2312yes—
664#393C2312yes—
665#393C2312yes—
666#393C2312yes—
667#393C2312yes—
668#393C2312yes—
669#393C2314yes—
670#393C2312yes—
671#393C2314yes—
672#393C2314yes—
673#393C2312yes—
674#393C2314yes—
675#393C2314yes—
676#393C2314yes—
677#393C2314yes—
678#393C2314yes—
679#392C2312yes—
680#392C2312yes—
681#392C2314yes—
682#392C2314yes—
683#392C2312yes—
684#392C2312yes—
685#392C2312yes—
686#392C2312yes—
687#392C2314yes—
688#392C2312yes—
689#392C2312yes—
690#392C2314yes—
691#392C2314yes—
692#392C2312yes—
693#392C2314yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2314yes—
698#392C2314yes—
699#392C2314yes—
700#392C2314yes—
701#392C2314yes—
702#392C2314yes—
703#392C2314yes—
704#392C2314yes—
705#391C2314yes—
706#391C2314yes—
707#391C2314yes—
708#391C2314yes—
709#390C2314yes—
710#390C2314yes—
711#390C2314yes—
712#390C2314yes—
713#390C2314yes—
714#390C2314yes—
715#390C2314yes—
716#390C2314yes—
717#390C2314yes—
718#390C2314yes—
719#390C2314yes—
720#389C2314yes—
721#389C2314yes—
722#389C2314yes—
723#389C2314yes—
724#389C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
750#388C2314yes—
751#388C2314yes—
752#388C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
762#387C2314yes—
763#387C2314yes—
764#387C2314yes—
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#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2314yes—
782#386C2314yes—
783#386C2314yes—
784#386C2314yes—
785#386C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#385C2314yes—
799#384C2312yes—
800#383C2312yes—
801#383C2312yes—
802#383C2312yes—
803#382C2311yescharacteristic
804#382C2311yescharacteristic
805#382C2312yes—
806#382C2312yes—
807#382C2312yes—
808#382C2311yescharacteristic
809#382C2311yescharacteristic
810#382C2312yes—
811#382C2312yes—
812#382C2312yes—
813#381C2312yes—
814#381C2314yes—
815#381C2314yes—
816#381C2312yes—
817#381C2312yes—
818#380C2314yes—
819#380C2312yes—
820#380C2314yes—
821#380C2312yes—
822#380C2314yes—
823#380C2312yes—
824#380C2312yes—
825#380C2312yes—
826#380C2314yes—
827#380C2314yes—
828#379C2314yes—
829#379C2314yes—
830#379C2314yes—
831#379C2314yes—
832#379C2314yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2312yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2412yes—
859C25C2412yes—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—44no—
863C2×#41—82no—
864C2×#41—82no—
865C2×#41C2×D418yes—
866C22×Q8—24no—
867C22×Q8—24no—
868C22×Q8—24no—
869C22×Q8—44no—
870C22×Q8—82no—
871C22×Q8—82no—
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2412yes—
882C22×Q8C2411yescharacteristic
883C22×D4—28no—
884C22×D4—24no—
885C22×D4—24no—
886C22×D4—24no—
887C22×D4—44no—
888C22×D4—48no—
889C22×D4—48no—
890C22×D4—82no—
891C22×D4—82no—
892C22×D4—84no—
893C22×D4—84no—
894C22×D4C2412yes—
895C22×D4C2411yescharacteristic
896C22×D4C2411yescharacteristic
897C22×D4C2412yes—
898C22×D4C2411yescharacteristic
899C22×D4C2411yescharacteristic
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C22×D4C2412yes—
907C22×D4C2412yes—
908C22×D4C2411yescharacteristic
909C22×D4C2411yescharacteristic
910C22×D4C2411yescharacteristic
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2412yes—
914C22×D4C2412yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2412yes—
936C23×C4C2414yes—
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2411yescharacteristic
945C4⋊Q8—28no—
946C4⋊Q8—28no—
947C4⋊Q8—24no—
948C4⋊Q8—24no—
949C4⋊Q8—24no—
950C4⋊Q8—84no—
951#127—28no—
952#127—24no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
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#125—24no—
967#125—24no—
968#125—24no—
969#124—28no—
970#124—28no—
971#124—28no—
972#124—28no—
973#124—28no—
974#124—28no—
975#124—28no—
976#124—28no—
977#124—28no—
978#124—24no—
979#124—24no—
980#124—24no—
981#124—24no—
982#124—24no—
983#124—28no—
984#124—28no—
985#124—24no—
986#124—24no—
987#124—24no—
988#124—24no—
989#124—24no—
990#124—24no—
991#124—28no—
992#124—28no—
993#124—28no—
994#124—28no—
995#124—84no—
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—28no—
1005#123—28no—
1006#123—28no—
1007#123—28no—
1008#123—28no—
1009#123—28no—
1010#123—28no—
1011#123—28no—
1012#123—28no—
1013#123—48no—
1014#123—84no—
1015C22⋊Q8—28no—
1016C22⋊Q8—24no—
1017C22⋊Q8—24no—
1018C22⋊Q8—24no—
1019C22⋊Q8—24no—
1020C22⋊Q8—24no—
1021C22⋊Q8—24no—
1022C22⋊Q8—24no—
1023C22⋊Q8—28no—
1024C22⋊Q8—28no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—28no—
1028C22⋊Q8—28no—
1029C22⋊Q8—28no—
1030C22⋊Q8—28no—
1031C22⋊Q8—28no—
1032C22⋊Q8—28no—
1033C22⋊Q8—84no—
1034C22⋊Q8—84no—
1035#121—28no—
1036#121—28no—
1037#121—24no—
1038#121—24no—
1039#121—24no—
1040#121—24no—
1041#121—24no—
1042#121—24no—
1043#121—24no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—28no—
1048#121—28no—
1049#121—84no—
1050#121—84no—
1051#121—84no—
1052#121—84no—
1053#121—84no—
1054#120—28no—
1055#120—28no—
1056#120—28no—
1057#120—28no—
1058#120—28no—
1059#120—28no—
1060#120—48no—
1061#120—84no—
1062#120—84no—
1063C4×Q8—28no—
1064C4×Q8—28no—
1065C4×Q8—24no—
1066C4×Q8—24no—
1067C4×Q8—24no—
1068C4×Q8—24no—
1069C4×Q8—24no—
1070C4×Q8—24no—
1071C4×Q8—24no—
1072C4×Q8—28no—
1073C4×Q8—28no—
1074C4×Q8C2×D418yescomplemented
1075C4×Q8C2×D418yescomplemented
1076C4×D4—28no—
1077C4×D4—28no—
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—28no—
1089C4×D4—24no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—24no—
1093C4×D4—28no—
1094C4×D4—24no—
1095C4×D4—24no—
1096C4×D4—24no—
1097C4×D4—28no—
1098C4×D4—48no—
1099C4×D4—84no—
1100C4×D4—84no—
1101C4×D4—84no—
1102C4×D4C2×D418yes—
1103C4×D4C2×D418yes—
1104C4×D4C2×D418yes—
1105C4×D4C2×D418yes—
1106C4×D4C2×D418yescomplemented
1107C4×D4C2×D418yescomplemented
1108#117—24no—
1109#117—24no—
1110#117—28no—
1111#117—28no—
1112#117—28no—
1113#117—28no—
1114#117—28no—
1115#117—28no—
1116#117—28no—
1117#117—28no—
1118#117—28no—
1119#117—28no—
1120#117—82no—
1121#117C2×D418yes—
1122#117C2×D418yescomplemented
1123#117C2×D418yescomplemented
1124C2×C4⋊C4—82no—
1125C2×C4⋊C4—82no—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2411yescharacteristic
1177C2×C4⋊C4C2411yescharacteristic
1178C2×C4⋊C4C2411yescharacteristic
1179C2×C4⋊C4C2411yescharacteristic
1180C2×C22⋊C4—28no—
1181C2×C22⋊C4—28no—
1182C2×C22⋊C4—28no—
1183C2×C22⋊C4—28no—
1184C2×C22⋊C4—28no—
1185C2×C22⋊C4—28no—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4—28no—
1189C2×C22⋊C4—28no—
1190C2×C22⋊C4—48no—
1191C2×C22⋊C4—84no—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1270C2×C22⋊C4C2411yescharacteristic
1271C2×C22⋊C4C2411yescharacteristic
1272C2×C22⋊C4C2411yescharacteristic
1273C2×C22⋊C4C2411yescharacteristic
1274C2×C22⋊C4C2411yescharacteristic
1275C2×C42C2×D418yes—
1276C2×C42C2×D418yescomplemented
1277C2×C42C2×D418yescomplemented
1278C2×C42C2412yes—
1279C2×C42C2412yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2414yes—
1288C2×C42C2414yes—
1289C2×C42C2414yes—
1290C2×C42C2414yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
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—
1339C24—24no—
1340C24—24no—
1341C24—24no—
1342C24—28no—
1343C24—28no—
1344C24—44no—
1345C24—44no—
1346C24—42no—
1347C24—44no—
1348C24—42no—
1349C24—42no—
1350C24—42no—
1351C24—42no—
1352C24—44no—
1353C24—42no—
1354C24C2512yes—
1355C24C2512yes—
1356C24C2512yes—
1357C24C2512yes—
1358C24C2512yes—
1359C24C2511yescharacteristic
1360C24C2511yescharacteristic
1361C24C2511yescharacteristic
1362#41—416no—
1363#41—88no—
1364#41—88no—
1365C2×Q8—22no—
1366C2×Q8—22no—
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—42no—
1376C2×Q8—42no—
1377C2×Q8—44no—
1378C2×Q8—42no—
1379C2×Q8—42no—
1380C2×Q8—42no—
1381C2×Q8—42no—
1382C2×Q8—42no—
1383C2×Q8—44no—
1384C2×Q8—44no—
1385C2×Q8—44no—
1386C2×Q8—42no—
1387C2×Q8—416no—
1388C2×Q8—88no—
1389C2×Q8—88no—
1390C2×Q8C22×D414yes—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—28no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—22no—
1409C2×D4—22no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—42no—
1416C2×D4—42no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—42no—
1422C2×D4—42no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—416no—
1426C2×D4—44no—
1427C2×D4—44no—
1428C2×D4—42no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—44no—
1435C2×D4—42no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—44no—
1449C2×D4—42no—
1450C2×D4—42no—
1451C2×D4—42no—
1452C2×D4—44no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—432no—
1456C2×D4—88no—
1457C2×D4—88no—
1458C2×D4—832no—
1459C2×D4C22×D414yes—
1460C2×D4C22×D414yes—
1461C2×D4C22×D414yes—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—28no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—28no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—24no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—41no—
1480C22×C4—41no—
1481C22×C4—41no—
1482C22×C4—41no—
1483C22×C4—44no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—42no—
1498C22×C4—44no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—44no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4C22×D414yes—
1509C22×C4C22×D414yes—
1510C22×C4C22×D414yes—
1511C22×C4C22×D414yes—
1512C22×C4C22×D414yes—
1513C22×C4C22×D414yes—
1514C22×C4C22×D414yes—
1515C22×C4C22×D414yes—
1516C22×C4C22×D414yes—
1517C22×C4C2514yes—
1518C22×C4C2514yes—
1519C22×C4C2514yes—
1520C22×C4C2514yes—
1521C22×C4C2512yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2511yescharacteristic
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—22no—
1551C4⋊C4—24no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—22no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—22no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—24no—
1574C4⋊C4—42no—
1575C4⋊C4—42no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—42no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C4⋊C4—44no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—44no—
1592C4⋊C4C22×D414yes—
1593C4⋊C4C22×D414yes—
1594C4⋊C4C22×D414yes—
1595C4⋊C4C22×D414yes—
1596C4⋊C4C22×D414yes—
1597C4⋊C4C22×D414yes—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
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—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
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—24no—
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—44no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
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⋊C4C22×D414yes—
1676C22⋊C4C22×D414yes—
1677C22⋊C4C22×D414yes—
1678C22⋊C4C22×D414yes—
1679C22⋊C4C22×D414yes—
1680C22⋊C4C22×D414yes—
1681C42—24no—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—24no—
1687C42—24no—
1688C42—24no—
1689C42—24no—
1690C42—44no—
1691C42—44no—
1692C42—44no—
1693C42—44no—
1694C42C22×D414yes—
1695C42C22×D414yes—
1696C42C22×D414yes—
1697C42C22×D414yes—
1698C42C22×D414yes—
1699C42C22×D414yes—
1700C42C22×D414yes—
1701C42C22×D414yes—
1702C42C22×D414yes—
1703C42C22×D414yes—
1704C23—21no—
1705C23—22no—
1706C23—21no—
1707C23—22no—
1708C23—22no—
1709C23—21no—
1710C23—22no—
1711C23—21no—
1712C23—22no—
1713C23—21no—
1714C23—21no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—24no—
1721C23—24no—
1722C23—24no—
1723C23—24no—
1724C23—24no—
1725C23—22no—
1726C23—24no—
1727C23—24no—
1728C23—22no—
1729C23—22no—
1730C23—24no—
1731C23—24no—
1732C23—22no—
1733C23—24no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—48no—
1741C23—48no—
1742C23—48no—
1743C23—88no—
1744C23—88no—
1745C23—84no—
1746C23—84no—
1747C23—88no—
1748C23—88no—
1749C23—84no—
1750C23—84no—
1751C23—84no—
1752C23—84no—
1753C23—164no—
1754C23—164no—
1755C23C23×D412yes—
1756C23C23×D412yes—
1757C23C23×D412yes—
1758C23#58514yes—
1759C23C2611yescharacteristic
1760Q8—44no—
1761Q8—44no—
1762Q8—44no—
1763Q8—48no—
1764Q8—44no—
1765Q8—44no—
1766Q8—44no—
1767Q8—84no—
1768Q8—84no—
1769Q8—84no—
1770Q8—84no—
1771D4—28no—
1772D4—28no—
1773D4—44no—
1774D4—44no—
1775D4—44no—
1776D4—48no—
1777D4—48no—
1778D4—44no—
1779D4—44no—
1780D4—44no—
1781D4—48no—
1782D4—416no—
1783D4—48no—
1784D4—84no—
1785D4—84no—
1786D4—84no—
1787D4—84no—
1788D4—84no—
1789D4—84no—
1790D4—84no—
1791D4—84no—
1792D4—84no—
1793D4—84no—
1794D4—88no—
1795D4—88no—
1796D4—88no—
1797D4—88no—
1798D4—164no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—28no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—24no—
1833C2×C4—24no—
1834C2×C4—24no—
1835C2×C4—24no—
1836C2×C4—24no—
1837C2×C4—24no—
1838C2×C4—24no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—24no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—24no—
1846C2×C4—24no—
1847C2×C4—24no—
1848C2×C4—24no—
1849C2×C4—24no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—44no—
1856C2×C4—44no—
1857C2×C4—44no—
1858C2×C4—44no—
1859C2×C4—44no—
1860C2×C4—44no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—84no—
1864C2×C4—84no—
1865C2×C4—84no—
1866C2×C4—84no—
1867C2×C4—84no—
1868C2×C4—84no—
1869C2×C4—84no—
1870C2×C4—84no—
1871C2×C4—88no—
1872C2×C4—84no—
1873C2×C4—84no—
1874C2×C4—164no—
1875C2×C4C23×D412yes—
1876C2×C4C23×D412yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D412yes—
1882C2×C4C23×D412yes—
1883C2×C4C23×D412yes—
1884C2×C4C23×D412yes—
1885C2×C4C23×D412yes—
1886C2×C4C23×D412yes—
1887C22—24no—
1888C22—24no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—42no—
1898C22—42no—
1899C22—42no—
1900C22—42no—
1901C22—44no—
1902C22—44no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—44no—
1907C22—44no—
1908C22—44no—
1909C22—44no—
1910C22—44no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—42no—
1924C22—42no—
1925C22—42no—
1926C22—168no—
1927C22—168no—
1928C22—168no—
1929C22#344914yes—
1930C22C24×D411yescharacteristic
1931C22C2×#58512yes—
1932C22H(7,𝔽2)11yescharacteristic
1933C22H(7,𝔽2)12yes—
1934C222−1+611yescharacteristic
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—22no—
1942C4—22no—
1943C4—22no—
1944C4—22no—
1945C4—22no—
1946C4—22no—
1947C4—44no—
1948C4—44no—
1949C4—44no—
1950C4—44no—
1951C4—42no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—42no—
1958C4—42no—
1959C4—42no—
1960C4—42no—
1961C4—42no—
1962C2—24no—
1963C2—42no—
1964C2—42no—
1965C2—82no—
1966C2—82no—
1967C2—82no—
1968C2—82no—
1969C2—82no—
1970C2C2×#344911yescharacteristic
1971C2#6285211yescharacteristic
1972C2#6285311yescharacteristic
1973C2#6304612yes—
1974C2#6305012yes—
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×#3510C2semidirect
2. C2×#3514C2semidirect
3. #42390C2semidirect
4. #42303C2semidirect
5. #42294C2semidirect
6. #42170C2semidirect
7. #41992C2semidirect
8. #41960C2semidirect
9. #41949C2semidirect
10. #41943C2semidirect
11. #41932C2semidirect
12. #40607C2semidirect
13. #40602C2semidirect
14. #40595C2semidirect
15. #40590C2semidirect
16. #40535C2semidirect
17. #40514C2semidirect
18. #37608C2semidirect
19. #37606C2semidirect
20. #37606C2semidirect
21. #37555C2semidirect
22. #37554C2semidirect
23. #37546C2semidirect
24. #37541C2semidirect
25. #37541C2semidirect
26. #37537C2semidirect
27. #36687C2semidirect
28. #36684C2semidirect
29. C2×#2819C2semidirect
30. #36079C2semidirect
31. #35940C2semidirect
32. #35922C2semidirect
33. #35762C2semidirect
34. #35683C2semidirect
35. #34191C2semidirect
38. C2×#559C22semidirect
39. C2×#559C22semidirect
40. C2×#559C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
44. C2×#555C22semidirect
48. C2×#551C22semidirect
49. C2×#551C22semidirect
50. C2×#551C22semidirect
53. C2×#548C22semidirect
56. C2×#546C22semidirect
58. C2×#542C22semidirect
59. C2×#542C22semidirect
60. C2×#542C22semidirect
61. C2×#542C22semidirect
62. C2×#542C22semidirect
64. C2×#538C22semidirect
67. C2×#533C22semidirect
68. C2×#532C22semidirect
70. C2×#529C22semidirect
71. C2×#529C22semidirect
72. C2×#529C22semidirect
73. C2×#529C22semidirect
74. C2×#529C22semidirect
75. C2×#529C22semidirect
77. C22×#124C22semidirect
78. C22×#124C22semidirect
79. C2×#519C22semidirect
81. C2×#518C22semidirect
83. #2823C22semidirect
84. #2822C22semidirect
85. #2822C22semidirect
86. #2821C22semidirect
87. #2820C22semidirect
88. #2820C22semidirect
89. #2820C22semidirect
90. #2820C22semidirect
91. #2820C22semidirect
92. #2820C22semidirect
93. #2820C22semidirect
94. #2820C22semidirect
98. #2819C22semidirect
99. #2819C22semidirect
100. #2819C22semidirect
101. #2819C22semidirect
102. #2819C22semidirect
103. #2819C22semidirect
104. #2819C22semidirect
105. #2819C22semidirect
106. #2818C22semidirect
107. #2816C22semidirect
108. #2815C22semidirect
109. #2814C22semidirect
110. #2814C22semidirect
111. #2813C22semidirect
112. #2813C22semidirect
113. #2813C22semidirect
114. #2733C22semidirect
115. #2731C22semidirect
116. #2730C22semidirect
117. #2729C22semidirect
118. #2727C22semidirect
119. #2716C22semidirect
120. #2714C22semidirect
121. #2712C22semidirect
122. #2705C22semidirect
123. #2702C22semidirect
124. #2687C22semidirect
125. #2686C22semidirect
126. #2684C22semidirect
127. #2681C22semidirect
128. #2678C22semidirect
129. #2677C22semidirect
130. #2676C22semidirect
131. #2676C22semidirect
132. #2674C22semidirect
133. #2673C22semidirect
134. #2672C22semidirect
135. #2671C22semidirect
136. #2670C22semidirect
137. #2669C22semidirect
138. #2663C22semidirect
139. #2663C22semidirect
140. #2662C22semidirect
141. #2662C22semidirect
142. #2662C22semidirect
143. #2662C22semidirect
144. #2661C22semidirect
145. #2661C22semidirect
146. #2659C22semidirect
147. #2658C22semidirect
148. #2656C22semidirect
149. #2640C22semidirect
151. #2639C22semidirect
152. #2638C22semidirect
153. #2638C22semidirect
154. #2637C22semidirect
155. #2637C22semidirect
156. #2637C22semidirect
157. #2636C22semidirect
158. #2636C22semidirect
159. #2636C22semidirect
160. #2635C22semidirect
161. #2635C22semidirect
162. #2632C22semidirect
163. #2632C22semidirect
164. #2632C22semidirect
165. #2632C22semidirect
166. #2631C22semidirect
167. #2631C22semidirect
168. #2630C22semidirect
169. #2630C22semidirect
170. #2628C22semidirect
171. #2628C22semidirect
172. #2626C22semidirect
173. #2626C22semidirect
174. #2621C22semidirect
175. #2620C22semidirect
176. #2619C22semidirect
177. #2618C22semidirect
178. #2617C22semidirect
179. #2614C22semidirect
180. #2614C22semidirect
181. #2613C22semidirect
182. #2613C22semidirect
183. #2610C22semidirect
184. #2610C22semidirect
185. #2610C22semidirect
186. #2610C22semidirect
187. #2609C22semidirect
188. #2604C22semidirect
189. #2604C22semidirect
190. #2603C22semidirect
191. #2603C22semidirect
192. #2601C22semidirect
193. #2601C22semidirect
194. #2599C22semidirect
195. #2599C22semidirect
196. #2598C22semidirect
197. #2598C22semidirect
198. #2592C22semidirect
199. #2581C22semidirect
200. #2580C22semidirect
201. #2564C22semidirect
202. #2564C22semidirect
203. #2561C22semidirect
204. #2561C22semidirect
205. #2560C22semidirect
206. #2557C22semidirect
207. #2555C22semidirect
208. #2554C22semidirect
209. #2545C22semidirect
210. #2543C22semidirect
211. #2543C22semidirect
212. #2540C22semidirect
214. #2539C22semidirect
215. #2536C22semidirect
216. #2535C22semidirect
217. #2534C22semidirect
218. #2534C22semidirect
219. #2534C22semidirect
220. #2498C22semidirect
221. #2498C22semidirect
222. #2491C22semidirect
223. #2482C22semidirect
224. #2482C22semidirect
225. #2479C22semidirect
226. #2477C22semidirect
227. #2472C22semidirect
228. #2469C22semidirect
229. #2467C22semidirect
230. #2467C22semidirect
231. #2465C22semidirect
232. #2464C22semidirect
233. #2463C22semidirect
234. #2463C22semidirect
235. #2461C22semidirect
236. #2459C22semidirect
237. #2458C22semidirect
238. #2458C22semidirect
239. #2456C22semidirect
240. #2456C22semidirect
241. #2455C22semidirect
242. #2452C22semidirect
243. #2438C22semidirect
244. #2437C22semidirect
246. #2434C22semidirect
247. #2430C22semidirect
248. #2430C22semidirect
249. #2425C22semidirect
250. #2424C22semidirect
253. #2418C22semidirect
254. #2417C22semidirect
255. #2416C22semidirect
257. #2411C22semidirect
259. #2409C22semidirect
260. #2408C22semidirect
261. #2408C22semidirect
264. #2398C22semidirect
265. #2397C22semidirect
266. #2396C22semidirect
267. #2396C22semidirect
268. #2392C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
272. #2388C22semidirect
273. #2388C22semidirect
274. C2×#394C22semidirect
275. C2×#393C22semidirect
276. C2×#393C22semidirect
278. C2×#392C22semidirect
279. #2359C22semidirect
280. #2358C22semidirect
281. #2355C22semidirect
283. #2352C22semidirect
284. D4×C4⋊C4C22semidirect
285. #2346C22semidirect
286. #2343C22semidirect
287. #2343C22semidirect
288. #2342C22semidirect
290. D4×C22⋊C4C22semidirect
291. #2320C22semidirect
293. #2318C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. C2×#382C22semidirect
299. C2×#382C22semidirect
300. #2275C22semidirect
474. C4×#41D4semidirect
1074. C4×Q8C2×D4semidirect
1075. C4×Q8C2×D4semidirect
1106. C4×D4C2×D4semidirect
1107. C4×D4C2×D4semidirect
1122. #117C2×D4semidirect
1123. #117C2×D4semidirect
1276. C2×C42C2×D4semidirect
1277. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35102
C2×#35142
#423902
#423032
#422942
#421702
#419922
#419602
#419492
#419432
#419322
#406072
#406022
#405952
#405902
#405352
#405142
#376082
#376062
#375552
#375542
#375462
#375412
#375372
#366872
#366842
C2×#28192
#360792
#359402
#359222
#357622
#356832
#341912