Finite Group Databasebeta

← #7680475

Subgroups — #7680475

Order 512.

7693 conjugacy classes of subgroups.

The subgroup lattice has 2059 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59813C212yesmaximal, complemented
4#59568C212yesmaximal, complemented
5#59148C212yesmaximal, complemented
6#59131C212yesmaximal, complemented
7#59128C212yesmaximal, complemented
8#59083C212yesmaximal, complemented
9#59054C212yesmaximal, complemented
10#59035C212yesmaximal, complemented
11#44351C214yesmaximal, complemented
12#44143C214yesmaximal, complemented
13#43034C214yesmaximal, complemented
14#43032C214yesmaximal, complemented
15#39726C211yesmaximal, characteristic, complemented
16#39596C211yesmaximal, characteristic, complemented
17#38923C211yesmaximal, characteristic, complemented
18#38922C212yesmaximal, complemented
19#38910C211yesmaximal, characteristic, complemented
20#38902C212yesmaximal, complemented
21#37845C212yesmaximal, complemented
22#37648C212yesmaximal, complemented
23#36493C211yesmaximal, characteristic, complemented
24#36444C211yesmaximal, characteristic, complemented
25#36161C211yesmaximal, characteristic, complemented
26D4×#121C211yesmaximal, characteristic, complemented
27#35569C212yesmaximal, complemented
28#35522C212yesmaximal, complemented
29#35292C211yesmaximal, characteristic, complemented
30#35260C212yesmaximal, complemented
31#34976C211yesmaximal, characteristic, complemented
32#34937C211yesmaximal, characteristic, complemented
33#34243C211yesmaximal, characteristic, complemented
34#34204C212yesmaximal, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559C2211yescharacteristic, complemented
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#555C2212yescomplemented
43C2×#554C2211yescharacteristic, complemented
44C2×#553C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×#552C2211yescharacteristic, complemented
47C2×#552C2211yescharacteristic, complemented
48C2×#551C2212yescomplemented
49C2×#551C2214yescomplemented
50C2×#551C2212yescomplemented
51C2×D4×Q8C2211yescharacteristic, complemented
52C2×#548C2212yescomplemented
53C2×#548C2212yescomplemented
54C2×#547C2211yescharacteristic, complemented
55C2×#546C2212yes—
56C2×#546C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2212yescomplemented
59C2×D42C2211yescharacteristic
60C2×D42C2212yes—
61C2×#542C2212yescomplemented
62C2×#538C2214yescomplemented
63C2×#537C2211yescharacteristic
64C2×#533C2211yescharacteristic, complemented
65C2×#532C2211yescharacteristic, complemented
66C2×#532C2212yescomplemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yescomplemented
70C2×#529C2212yescomplemented
71C2×#529C2212yescomplemented
72C22×#124C2212yes—
73C2×#525C2212yescomplemented
74C22×#121C2212yes—
75C2×#518C2212yescomplemented
76C2×C4×#41C2211yescharacteristic, complemented
77C2×C4×#41C2211yescharacteristic, complemented
78C2×C4×#41C2211yescharacteristic, complemented
79C2×C4×#41C2211yescharacteristic, complemented
80C22×C4×D4C2211yescharacteristic
81C22×#117C2212yescomplemented
82#2857C2212yescomplemented
83#2857C2211yescharacteristic, complemented
84#2857C2211yescharacteristic, complemented
85#2856C2211yescharacteristic
86#2856C2211yescharacteristic, complemented
87#2850C2212yescomplemented
88#2848C2212yescomplemented
89#2847C2212yes—
90#2722C2214yescomplemented
91#2720C2214yescomplemented
92#2715C2214yescomplemented
93#2715C2214yescomplemented
94#2707C2214yescomplemented
95#2700C2214yescomplemented
96#2696C2214yescomplemented
97#2695C2214yescomplemented
98#2694C2214yescomplemented
99#2692C2214yescomplemented
100#2688C2214yescomplemented
101#2685C2214yescomplemented
102#2684C2214yescomplemented
103#2682C2214yescomplemented
104#2681C2214yescomplemented
105#2681C2214yescomplemented
106#2678C2214yescomplemented
107#2675C2214yescomplemented
108#2672C2214yescomplemented
109#2672C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yescomplemented
112#2668C2214yescomplemented
113#2668C2214yescomplemented
114#2628C2212yescomplemented
115#2625C2212yescomplemented
116#2624C2212yescomplemented
117#2624C2212yescomplemented
118#2620C2212yescomplemented
119#2615C2212yescomplemented
120#2609C2214yescomplemented
121#2592C2212yescomplemented
122#2592C2212yescomplemented
123#2582C2211yescharacteristic, complemented
124#2580C2212yescomplemented
125#2580C2212yescomplemented
126#2567C2212yescomplemented
127#2560C2214yescomplemented
128#2559C2214yescomplemented
129#2557C2214yescomplemented
130#2557C2214yescomplemented
131#2556C2214yescomplemented
132#2555C2214yescomplemented
133#2555C2214yescomplemented
134#2548C2211yescharacteristic, complemented
135#2547C2212yes—
136#2547C2211yescharacteristic, complemented
137#2547C2212yescomplemented
138#2546C2211yescharacteristic, complemented
139#2545C2212yescomplemented
140#2545C2212yescomplemented
141#2544C2212yescomplemented
142#2543C2214yescomplemented
143#2542C2212yescomplemented
144#2541C2211yescharacteristic
145#2540C2212yescomplemented
146#2540C2212yescomplemented
147#2540C2212yescomplemented
148#2538C2212yescomplemented
149#2538C2211yescharacteristic, complemented
150#2538C2211yescharacteristic, complemented
151#2537C2211yescharacteristic
152#2537C2214yescomplemented
153#2537C2212yescomplemented
154#2535C2212yescomplemented
155#2535C2212yescomplemented
156#2521C2214yescomplemented
157#2512C2214yescomplemented
158#2492C2212yescomplemented
159#2490C2212yescomplemented
160#2485C2212yescomplemented
161#2485C2212yescomplemented
162#2485C2212yescomplemented
163#2485C2212yescomplemented
164#2481C2214yescomplemented
165#2480C2214yescomplemented
166#2480C2214yescomplemented
167#2480C2214yescomplemented
168#2479C2214yescomplemented
169#2477C2214yescomplemented
170#2477C2214yescomplemented
171#2474C2214yescomplemented
172#2472C2214yescomplemented
173#2472C2214yescomplemented
174#2471C2214yescomplemented
175#2471C2214yescomplemented
176#2470C2214yescomplemented
177#2467C2214yescomplemented
178#2466C2214yescomplemented
179#2464C2214yescomplemented
180#2463C2214yescomplemented
181#2461C2214yescomplemented
182#2460C2214yescomplemented
183#2456C2214yescomplemented
184#2456C2214yescomplemented
185#2453C2212yescomplemented
186#2452C2212yescomplemented
187#2449C2214yescomplemented
188#2448C2212yescomplemented
189#2447C2212yes—
190#2441C2214yescomplemented
191#2437C2214yescomplemented
192#2435C2212yes—
193#2435C2212yes—
194#2434C2212yescomplemented
195#2431C2212yescomplemented
196#2429C2212yescomplemented
197#2428C2212yes—
198#2427C2212yes—
199#2427C2214yescomplemented
200#2427C2214yescomplemented
201#2427C2212yescomplemented
202#2427C2212yescomplemented
203#2426C2212yescomplemented
204#2424C2214yes—
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2422C2214yescomplemented
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2417C2212yescomplemented
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yescomplemented
215#2416C2212yescomplemented
216#2415C2214yescomplemented
217#2415C2214yescomplemented
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2414C2212yescomplemented
221#2414C2212yescomplemented
222#2414C2212yescomplemented
223#2410C2214yes—
224#2410C2214yescomplemented
225#2409C2212yescomplemented
226#2408C2212yes—
227#2408C2212yes—
228#2408C2214yescomplemented
229#2408C2212yescomplemented
230#2407C2212yescomplemented
231#2407C2212yescomplemented
232#2407C2212yescomplemented
233#2407C2212yescomplemented
234#2392C2214yescomplemented
235#2392C2214yescomplemented
236#2370C2212yescomplemented
237#2367C2212yes—
238#2367C2212yescomplemented
239#2366C2212yescomplemented
240#2363C2214yescomplemented
241#2363C2214yescomplemented
242#2363C2212yescomplemented
243#2361C2214yescomplemented
244#2361C2214yescomplemented
245#2360C2212yescomplemented
246#2359C2214yescomplemented
247#2355C2211yescharacteristic, complemented
248#2354C2211yescharacteristic
249#2352C2212yescomplemented
250Q8×C4⋊C4C2211yescharacteristic, complemented
251D4×C4⋊C4C2211yescharacteristic
252D4×C4⋊C4C2212yescomplemented
253#2342C2214yescomplemented
254#2342C2214yescomplemented
255Q8×C22⋊C4C2212yescomplemented
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2214yescomplemented
258D4×C22⋊C4C2214yescomplemented
259#2334C2214yescomplemented
260#2325C2212yescomplemented
261#2325C2212yescomplemented
262#2324C2212yes—
263#2324C2211yescharacteristic
264#2324C2212yescomplemented
265#2324C2211yescharacteristic, complemented
266#2324C2212yescomplemented
267#2324C2212yescomplemented
268#2324C2212yescomplemented
269#2323C2212yescomplemented
270#2323C2211yescharacteristic, complemented
271#2323C2211yescharacteristic, complemented
272#2316C2211yescharacteristic, complemented
273#2316C2212yescomplemented
274#2314C2212yescomplemented
275#2311C2211yescharacteristic, complemented
276#2311C2211yescharacteristic, complemented
277#2309C2212yescomplemented
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×#121C2211yescharacteristic
285C4×#121C2212yes—
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292C4×#121C2212yescomplemented
293C4×#121C2212yescomplemented
294C4×#121C2212yescomplemented
295C4×#121C2212yescomplemented
296#2297C2212yescomplemented
297#2285C2211yescharacteristic, complemented
298#2280C2212yescomplemented
299#2274C2212yescomplemented
300C2×C4×C4⋊C4C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2314yes—
311C24×C4C2312yes—
312#559—28no—
313#556—28no—
314#556—28no—
315#555—28no—
316#555—216no—
317#554—28no—
318#553—216no—
319#552—216no—
320#552—28no—
321#552—28no—
322#551—216no—
323#551—232no—
324#551—216no—
325D4×Q8—28no—
326#548—216no—
327#548—48no—
328#547—28no—
329#546—28no—
330#546—28no—
331#546—216no—
332#546—216no—
333D42—28no—
334D42—48no—
335#542—216no—
336#538—232no—
337#537—28no—
338#533—28no—
339#532—28no—
340#532—48no—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348#529—216no—
349#529—28no—
350#529—216no—
351#529—216no—
352#529D4116yescomplemented
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2311yescharacteristic
366C2×#124—216no—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2311yescharacteristic
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2312yes—
380C2×#124C2311yescharacteristic
381#525—216no—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×#121—216no—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C2×#121C2311yescharacteristic
448C2×#121C2311yescharacteristic
449C2×#120C2312yes—
450C2×#120C2314yes—
451C2×#120C2314yes—
452C2×#120C2312yes—
453C2×#120C2314yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456#518—216no—
457C4×#41—28no—
458C4×#41—28no—
459C4×#41—28no—
460C4×#41—28no—
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2311yescharacteristic
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2311yescharacteristic
472C2×C4×D4—28no—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2314yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2314yes—
509C2×C4×D4C2314yes—
510C2×C4×D4C2314yes—
511C2×C4×D4C2311yescharacteristic
512C2×C4×D4C2312yes—
513C2×#117—216no—
514C2×#117C2312yes—
515C2×#117C2311yescharacteristic
516C2×#117C2311yescharacteristic
517C2×#117C2312yes—
518C2×#117C2311yescharacteristic
519C2×#117C2311yescharacteristic
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2311yescharacteristic
528C2×#117C2312yes—
529C2×#117C2311yescharacteristic
530C2×#117C2314yes—
531C2×#117C2312yes—
532C2×#117C2312yes—
533C2×#117C2312yes—
534C22×C4⋊C4C2312yes—
535C22×C4⋊C4C2311yescharacteristic
536C22×C4⋊C4C2311yescharacteristic
537C22×C4⋊C4C2312yes—
538C22×C4⋊C4C2312yes—
539C22×C4⋊C4C2311yescharacteristic
540C22×C22⋊C4C2314yes—
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2312yes—
543C22×C22⋊C4C2314yes—
544C22×C22⋊C4C2314yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2314yes—
547C22×C42C2312yes—
548C22×C42C2311yescharacteristic
549C22×C42C2311yescharacteristic
550C22×C42C2312yes—
551C22×C42C2312yes—
552C22×C42C2312yes—
553C22×C42C2311yescharacteristic
554#400C2314yes—
555#400C2314yes—
556#399C2314yes—
557#399C2314yes—
558#399C2314yes—
559#399C2314yes—
560#399C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2314yes—
564#398C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2314yes—
568#397C2314yes—
569#397C2314yes—
570#397C2314yes—
571#397C2314yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2314yes—
577#397C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2314yes—
581#396C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#393C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#392C2314yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#391C2314yes—
627#391C2311yescharacteristic
628#391C2311yescharacteristic
629#391C2312yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2314yes—
635#391C2312yes—
636#391C2314yes—
637#391C2312yes—
638#391C2312yes—
639#390C2314yes—
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2314yes—
646#390C2311yescharacteristic
647#390C2312yes—
648#390C2312yes—
649#390C2314yes—
650#390C2312yes—
651#390C2312yes—
652#390C2314yes—
653#390C2314yes—
654#390C2314yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2312yes—
660#390C2312yes—
661#390C2314yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2314yes—
666#389C2311yescharacteristic
667#389C2312yes—
668#389C2312yes—
669#389C2312yes—
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#389C2314yes—
678#389C2314yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2312yes—
726#387C2312yes—
727#387C2312yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#385C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#384C2314yes—
783#384C2312yes—
784#384C2311yescharacteristic
785#384C2311yescharacteristic
786#382C2312yes—
787#382C2312yes—
788#381C2314yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2312yes—
799#380C2314yes—
800#380C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2312yes—
815#380C2314yes—
816#380C2312yes—
817#379C2314yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2311yescharacteristic
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2314yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2314yes—
853C4×C22⋊C4C2312yes—
854C4×C22⋊C4C2314yes—
855C2×#95C2312yes—
856C25C2412yes—
857C25C2414yes—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—24no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—42no—
868C2×#41—42no—
869C2×#41—42no—
870C2×#41—42no—
871C2×#41—44no—
872C2×#41—44no—
873C22×Q8—28no—
874C22×Q8—44no—
875C22×Q8—44no—
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×Q8C2411yescharacteristic
880C22×Q8C2411yescharacteristic
881C22×Q8C2412yes—
882C22×Q8C2414yes—
883C22×D4—24no—
884C22×D4—28no—
885C22×D4—24no—
886C22×D4—28no—
887C22×D4—216no—
888C22×D4—28no—
889C22×D4—44no—
890C22×D4—42no—
891C22×D4—44no—
892C22×D4—44no—
893C22×D4—48no—
894C22×D4—84no—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2411yescharacteristic
900C22×D4C2411yescharacteristic
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2411yescharacteristic
906C22×D4C2414yes—
907C22×D4C2411yescharacteristic
908C22×D4C2411yescharacteristic
909C22×D4C2411yescharacteristic
910C22×D4C2412yes—
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2414yes—
918C22×D4C2412yes—
919C22×D4C2412yes—
920C23×C4—28no—
921C23×C4—28no—
922C23×C4—44no—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2411yescharacteristic
935C23×C4C2412yes—
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2412yes—
939C23×C4C2414yes—
940C23×C4C2411yescharacteristic
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2414yes—
946C23×C4C2412yes—
947C23×C4C2411yescharacteristic
948C23×C4C2412yes—
949C23×C4C2411yescharacteristic
950C4⋊Q8—24no—
951C4⋊Q8—24no—
952C4⋊Q8—24no—
953C4⋊Q8—28no—
954C4⋊Q8—44no—
955#127—28no—
956#127—24no—
957#126—216no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—28no—
962#126—28no—
963#126—216no—
964#126C2×D4116yescomplemented
965#125—28no—
966#125—28no—
967#125—24no—
968#125—28no—
969#125C2×D418yescomplemented
970#124—28no—
971#124—28no—
972#124—24no—
973#124—28no—
974#124—28no—
975#124—216no—
976#124—216no—
977#124—28no—
978#124—216no—
979#124—28no—
980#124—28no—
981#124—44no—
982#124—48no—
983#124C2×D418yes—
984#123—28no—
985#123—216no—
986#123—28no—
987#123—216no—
988#123—28no—
989#123—28no—
990#123—28no—
991#123—28no—
992#123—28no—
993#123—216no—
994#123C2×D4116yescomplemented
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—24no—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—24no—
1004C22⋊Q8—28no—
1005C22⋊Q8—216no—
1006C22⋊Q8—216no—
1007C22⋊Q8—24no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—48no—
1011C22⋊Q8—44no—
1012C22⋊Q8—44no—
1013C22⋊Q8—44no—
1014C22⋊Q8—44no—
1015C22⋊Q8—84no—
1016C22⋊Q8C2×D418yescomplemented
1017#121—28no—
1018#121—28no—
1019#121—24no—
1020#121—216no—
1021#121—28no—
1022#121—216no—
1023#121—24no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—28no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—216no—
1036#121—216no—
1037#121—28no—
1038#121—48no—
1039#121—48no—
1040#121—48no—
1041#121—48no—
1042#121—44no—
1043#121—44no—
1044#121—44no—
1045#121—44no—
1046#121—82no—
1047#121—82no—
1048#121C2×D418yes—
1049#121#4118yescomplemented
1050#120—28no—
1051#120—216no—
1052#120—28no—
1053#120—216no—
1054#120—48no—
1055#120—48no—
1056#120—84no—
1057C4×Q8—24no—
1058C4×Q8—28no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×Q8—24no—
1063C4×Q8—24no—
1064C4×Q8—24no—
1065C4×Q8—28no—
1066C4×Q8—44no—
1067C4×Q8C2×D418yescomplemented
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—24no—
1074C4×D4—24no—
1075C4×D4—24no—
1076C4×D4—28no—
1077C4×D4—24no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—28no—
1082C4×D4—216no—
1083C4×D4—216no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—24no—
1087C4×D4—24no—
1088C4×D4—28no—
1089C4×D4—24no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—24no—
1093C4×D4—28no—
1094C4×D4—28no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—44no—
1098C4×D4—44no—
1099C4×D4—44no—
1100C4×D4—48no—
1101C4×D4—48no—
1102C4×D4—48no—
1103C4×D4—84no—
1104C4×D4—84no—
1105C4×D4—84no—
1106C4×D4C2×D418yes—
1107C4×D4C2×D4116yescomplemented
1108#117—28no—
1109#117—24no—
1110#117—24no—
1111#117—24no—
1112#117—28no—
1113#117—28no—
1114#117—28no—
1115#117—28no—
1116#117—24no—
1117#117—216no—
1118#117—28no—
1119#117—28no—
1120#117—24no—
1121#117—28no—
1122#117—24no—
1123#117—28no—
1124#117—28no—
1125#117—44no—
1126#117—82no—
1127#117C2×D4116yescomplemented
1128C2×C4⋊C4—28no—
1129C2×C4⋊C4—28no—
1130C2×C4⋊C4—24no—
1131C2×C4⋊C4—28no—
1132C2×C4⋊C4—24no—
1133C2×C4⋊C4—42no—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2414yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2411yescharacteristic
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C22⋊C4—28no—
1197C2×C22⋊C4—28no—
1198C2×C22⋊C4—28no—
1199C2×C22⋊C4—216no—
1200C2×C22⋊C4—216no—
1201C2×C22⋊C4—216no—
1202C2×C22⋊C4—216no—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2411yescharacteristic
1228C2×C22⋊C4C2411yescharacteristic
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2411yescharacteristic
1232C2×C22⋊C4C2411yescharacteristic
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2412yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2412yes—
1271C2×C22⋊C4C2412yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C42—28no—
1278C2×C42—28no—
1279C2×C42—24no—
1280C2×C42—24no—
1281C2×C42—28no—
1282C2×C42—44no—
1283C2×C42C2×D418yescomplemented
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2411yescharacteristic
1288C2×C42C2411yescharacteristic
1289C2×C42C2412yes—
1290C2×C42C2414yes—
1291C2×C42C2412yes—
1292C2×C42C2412yes—
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296C2×C42C2412yes—
1297C2×C42C2411yescharacteristic
1298C2×C42C2412yes—
1299C2×C42C2412yes—
1300C2×C42C2412yes—
1301C2×C42C2414yes—
1302C2×C42C2414yes—
1303C2×C42C2412yes—
1304C2×C42C2414yes—
1305C2×C42C2412yes—
1306C2×C42C2414yes—
1307C2×C42C2411yescharacteristic
1308C2×C42C2411yescharacteristic
1309C2×C42C2412yes—
1310C2×C42C2411yescharacteristic
1311C2×C42C2411yescharacteristic
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2412yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2412yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2412yes—
1331#95C2414yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2412yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341#95C2414yes—
1342#95C2414yes—
1343#95C2414yes—
1344#95C2412yes—
1345#95C2412yes—
1346#95C2412yes—
1347#95C2414yes—
1348#95C2414yes—
1349#95C2414yes—
1350C24—24no—
1351C24—24no—
1352C24—24no—
1353C24—28no—
1354C24—28no—
1355C24—42no—
1356C24—42no—
1357C24—42no—
1358C24—44no—
1359C24—42no—
1360C24—44no—
1361C24—44no—
1362C24—44no—
1363C24—44no—
1364C24C2514yes—
1365C24C2511yescharacteristic
1366C24C2512yes—
1367C24C2511yescharacteristic
1368C24C2511yescharacteristic
1369C24C2512yes—
1370C24C2512yes—
1371#41—416no—
1372#41—416no—
1373#41—416no—
1374#41—416no—
1375#41—816no—
1376C2×Q8—22no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—24no—
1380C2×Q8—24no—
1381C2×Q8—28no—
1382C2×Q8—22no—
1383C2×Q8—22no—
1384C2×Q8—22no—
1385C2×Q8—24no—
1386C2×Q8—22no—
1387C2×Q8—22no—
1388C2×Q8—22no—
1389C2×Q8—22no—
1390C2×Q8—24no—
1391C2×Q8—41no—
1392C2×Q8—44no—
1393C2×Q8—42no—
1394C2×Q8—44no—
1395C2×Q8—42no—
1396C2×Q8—816no—
1397C2×Q8C22×D414yes—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—22no—
1402C2×D4—24no—
1403C2×D4—28no—
1404C2×D4—28no—
1405C2×D4—22no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—28no—
1409C2×D4—28no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—24no—
1417C2×D4—28no—
1418C2×D4—28no—
1419C2×D4—22no—
1420C2×D4—22no—
1421C2×D4—22no—
1422C2×D4—28no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—28no—
1428C2×D4—24no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—24no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—22no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—432no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—44no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—42no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—41no—
1447C2×D4—41no—
1448C2×D4—42no—
1449C2×D4—41no—
1450C2×D4—42no—
1451C2×D4—42no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—42no—
1460C2×D4—44no—
1461C2×D4—44no—
1462C2×D4—42no—
1463C2×D4—44no—
1464C2×D4—42no—
1465C2×D4—44no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—416no—
1470C2×D4—816no—
1471C2×D4—832no—
1472C2×D4C22×D414yes—
1473C2×D4C22×D418yes—
1474C2×D4C2×#4114yes—
1475C2×D4C2×#4118yes—
1476C2×D4H(5,𝔽2)14yes—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—22no—
1481C22×C4—22no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—24no—
1498C22×C4—24no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—24no—
1502C22×C4—24no—
1503C22×C4—22no—
1504C22×C4—24no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—22no—
1508C22×C4—22no—
1509C22×C4—24no—
1510C22×C4—22no—
1511C22×C4—24no—
1512C22×C4—24no—
1513C22×C4—22no—
1514C22×C4—24no—
1515C22×C4—24no—
1516C22×C4—22no—
1517C22×C4—28no—
1518C22×C4—28no—
1519C22×C4—28no—
1520C22×C4—28no—
1521C22×C4—24no—
1522C22×C4—41no—
1523C22×C4—42no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—41no—
1527C22×C4—42no—
1528C22×C4—42no—
1529C22×C4—42no—
1530C22×C4—432no—
1531C22×C4—42no—
1532C22×C4—42no—
1533C22×C4—42no—
1534C22×C4—44no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—42no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—42no—
1541C22×C4—44no—
1542C22×C4—44no—
1543C22×C4—41no—
1544C22×C4—41no—
1545C22×C4—42no—
1546C22×C4—42no—
1547C22×C4—41no—
1548C22×C4—41no—
1549C22×C4—42no—
1550C22×C4—44no—
1551C22×C4—42no—
1552C22×C4—44no—
1553C22×C4—44no—
1554C22×C4C22×D414yes—
1555C22×C4C22×D414yes—
1556C22×C4C22×D418yes—
1557C22×C4C22×D414yes—
1558C22×C4C2×#4114yes—
1559C22×C4C2512yes—
1560C22×C4C2512yes—
1561C22×C4C2514yes—
1562C22×C4C2514yes—
1563C22×C4C2512yes—
1564C22×C4C2512yes—
1565C22×C4C2511yescharacteristic
1566C22×C4C2511yescharacteristic
1567C22×C4C2512yes—
1568C22×C4C2512yes—
1569C22×C4C2511yescharacteristic
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2514yes—
1573C22×C4C2511yescharacteristic
1574C22×C4C2512yes—
1575C22×C4C2511yescharacteristic
1576C22×C4C2511yescharacteristic
1577C22×C4C2511yescharacteristic
1578C22×C4C2511yescharacteristic
1579C22×C4C2512yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2511yescharacteristic
1583C22×C4C2512yes—
1584C22×C4C2511yescharacteristic
1585C22×C4C2511yescharacteristic
1586C22×C4C2511yescharacteristic
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—22no—
1596C4⋊C4—24no—
1597C4⋊C4—22no—
1598C4⋊C4—22no—
1599C4⋊C4—24no—
1600C4⋊C4—22no—
1601C4⋊C4—22no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—24no—
1605C4⋊C4—22no—
1606C4⋊C4—22no—
1607C4⋊C4—24no—
1608C4⋊C4—28no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—28no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—28no—
1616C4⋊C4—24no—
1617C4⋊C4—24no—
1618C4⋊C4—22no—
1619C4⋊C4—24no—
1620C4⋊C4—24no—
1621C4⋊C4—24no—
1622C4⋊C4—22no—
1623C4⋊C4—22no—
1624C4⋊C4—24no—
1625C4⋊C4—24no—
1626C4⋊C4—42no—
1627C4⋊C4—42no—
1628C4⋊C4—42no—
1629C4⋊C4—42no—
1630C4⋊C4—44no—
1631C4⋊C4—44no—
1632C4⋊C4—42no—
1633C4⋊C4—44no—
1634C4⋊C4—42no—
1635C4⋊C4—44no—
1636C4⋊C4—44no—
1637C4⋊C4—44no—
1638C4⋊C4—44no—
1639C4⋊C4—44no—
1640C4⋊C4—44no—
1641C4⋊C4—42no—
1642C4⋊C4C22×D418yes—
1643C4⋊C4C22×D418yes—
1644C4⋊C4C22×D414yes—
1645C4⋊C4C22×D418yes—
1646C4⋊C4C22×D414yes—
1647C4⋊C4C22×D418yes—
1648C4⋊C4C2×#4114yes—
1649C22⋊C4—28no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—24no—
1655C22⋊C4—22no—
1656C22⋊C4—24no—
1657C22⋊C4—22no—
1658C22⋊C4—24no—
1659C22⋊C4—28no—
1660C22⋊C4—24no—
1661C22⋊C4—24no—
1662C22⋊C4—28no—
1663C22⋊C4—28no—
1664C22⋊C4—28no—
1665C22⋊C4—22no—
1666C22⋊C4—22no—
1667C22⋊C4—24no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—28no—
1672C22⋊C4—28no—
1673C22⋊C4—28no—
1674C22⋊C4—24no—
1675C22⋊C4—28no—
1676C22⋊C4—28no—
1677C22⋊C4—24no—
1678C22⋊C4—24no—
1679C22⋊C4—24no—
1680C22⋊C4—22no—
1681C22⋊C4—24no—
1682C22⋊C4—22no—
1683C22⋊C4—28no—
1684C22⋊C4—28no—
1685C22⋊C4—24no—
1686C22⋊C4—28no—
1687C22⋊C4—28no—
1688C22⋊C4—24no—
1689C22⋊C4—42no—
1690C22⋊C4—42no—
1691C22⋊C4—44no—
1692C22⋊C4—42no—
1693C22⋊C4—42no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—42no—
1697C22⋊C4—44no—
1698C22⋊C4—42no—
1699C22⋊C4—42no—
1700C22⋊C4—44no—
1701C22⋊C4—44no—
1702C22⋊C4—42no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4—44no—
1706C22⋊C4—44no—
1707C22⋊C4—44no—
1708C22⋊C4—44no—
1709C22⋊C4—44no—
1710C22⋊C4—44no—
1711C22⋊C4—44no—
1712C22⋊C4—44no—
1713C22⋊C4—44no—
1714C22⋊C4—44no—
1715C22⋊C4—44no—
1716C22⋊C4—44no—
1717C22⋊C4C22×D418yes—
1718C22⋊C4C22×D418yes—
1719C22⋊C4C22×D418yes—
1720C22⋊C4C22×D418yes—
1721C22⋊C4C22×D418yes—
1722C22⋊C4C2×#4118yes—
1723C42—22no—
1724C42—24no—
1725C42—24no—
1726C42—24no—
1727C42—22no—
1728C42—24no—
1729C42—24no—
1730C42—24no—
1731C42—22no—
1732C42—22no—
1733C42—22no—
1734C42—24no—
1735C42—22no—
1736C42—24no—
1737C42—28no—
1738C42—24no—
1739C42—24no—
1740C42—42no—
1741C42—42no—
1742C42—44no—
1743C42—44no—
1744C42—44no—
1745C42—44no—
1746C42C22×D414yes—
1747C42C22×D414yes—
1748C42C22×D414yes—
1749C42C22×D418yes—
1750C42C22×D414yes—
1751C23—21no—
1752C23—22no—
1753C23—22no—
1754C23—22no—
1755C23—21no—
1756C23—22no—
1757C23—22no—
1758C23—21no—
1759C23—22no—
1760C23—21no—
1761C23—21no—
1762C23—22no—
1763C23—22no—
1764C23—22no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—22no—
1769C23—22no—
1770C23—22no—
1771C23—21no—
1772C23—22no—
1773C23—22no—
1774C23—22no—
1775C23—21no—
1776C23—21no—
1777C23—22no—
1778C23—21no—
1779C23—22no—
1780C23—22no—
1781C23—21no—
1782C23—24no—
1783C23—21no—
1784C23—24no—
1785C23—21no—
1786C23—24no—
1787C23—24no—
1788C23—24no—
1789C23—21no—
1790C23—21no—
1791C23—24no—
1792C23—21no—
1793C23—21no—
1794C23—24no—
1795C23—48no—
1796C23—48no—
1797C23—48no—
1798C23—416no—
1799C23—84no—
1800C23—84no—
1801C23—84no—
1802C23—88no—
1803C23—88no—
1804C23—88no—
1805C23—88no—
1806C23—84no—
1807C23—164no—
1808C23—164no—
1809C23C23×D414yes—
1810C23C23×D412yes—
1811C23C22×#4114yes—
1812C23C22×#4112yes—
1813C23C2×H(5,𝔽2)14yes—
1814C23C2611yescharacteristic
1815Q8—28no—
1816Q8—44no—
1817Q8—44no—
1818Q8—48no—
1819Q8—44no—
1820Q8—84no—
1821Q8—88no—
1822D4—28no—
1823D4—28no—
1824D4—28no—
1825D4—48no—
1826D4—48no—
1827D4—416no—
1828D4—416no—
1829D4—48no—
1830D4—44no—
1831D4—44no—
1832D4—48no—
1833D4—416no—
1834D4—48no—
1835D4—44no—
1836D4—48no—
1837D4—48no—
1838D4—48no—
1839D4—84no—
1840D4—84no—
1841D4—84no—
1842D4—88no—
1843D4—88no—
1844D4—88no—
1845D4—88no—
1846D4—164no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—22no—
1851C2×C4—21no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—22no—
1865C2×C4—28no—
1866C2×C4—216no—
1867C2×C4—28no—
1868C2×C4—28no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—21no—
1872C2×C4—22no—
1873C2×C4—22no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—21no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—24no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—24no—
1884C2×C4—21no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—22no—
1888C2×C4—22no—
1889C2×C4—24no—
1890C2×C4—22no—
1891C2×C4—24no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—24no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—24no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—22no—
1904C2×C4—24no—
1905C2×C4—21no—
1906C2×C4—22no—
1907C2×C4—24no—
1908C2×C4—24no—
1909C2×C4—22no—
1910C2×C4—21no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—22no—
1916C2×C4—21no—
1917C2×C4—22no—
1918C2×C4—22no—
1919C2×C4—21no—
1920C2×C4—44no—
1921C2×C4—48no—
1922C2×C4—48no—
1923C2×C4—48no—
1924C2×C4—48no—
1925C2×C4—48no—
1926C2×C4—48no—
1927C2×C4—48no—
1928C2×C4—44no—
1929C2×C4—44no—
1930C2×C4—48no—
1931C2×C4—44no—
1932C2×C4—84no—
1933C2×C4—84no—
1934C2×C4—84no—
1935C2×C4—82no—
1936C2×C4—82no—
1937C2×C4—84no—
1938C2×C4—88no—
1939C2×C4—88no—
1940C2×C4—88no—
1941C2×C4—88no—
1942C2×C4—84no—
1943C2×C4C23×D412yes—
1944C2×C4C23×D412yes—
1945C2×C4C23×D412yes—
1946C2×C4C23×D412yes—
1947C2×C4C23×D414yes—
1948C2×C4C23×D414yes—
1949C2×C4C23×D414yes—
1950C2×C4C23×D412yes—
1951C2×C4C23×D412yes—
1952C2×C4C22×#4112yes—
1953C2×C4C22×#4114yes—
1954C2×C4C22×#4112yes—
1955C2×C4C2×H(5,𝔽2)12yes—
1956C2×C4#58512yes—
1957C2×C4#58512yes—
1958C22—24no—
1959C22—24no—
1960C22—22no—
1961C22—22no—
1962C22—24no—
1963C22—22no—
1964C22—24no—
1965C22—24no—
1966C22—22no—
1967C22—24no—
1968C22—24no—
1969C22—22no—
1970C22—24no—
1971C22—22no—
1972C22—24no—
1973C22—41no—
1974C22—42no—
1975C22—41no—
1976C22—42no—
1977C22—42no—
1978C22—42no—
1979C22—41no—
1980C22—42no—
1981C22—41no—
1982C22—42no—
1983C22—41no—
1984C22—41no—
1985C22—42no—
1986C22—42no—
1987C22—42no—
1988C22—41no—
1989C22—42no—
1990C22—41no—
1991C22—42no—
1992C22—42no—
1993C22—44no—
1994C22—41no—
1995C22—41no—
1996C22—44no—
1997C22—41no—
1998C22—44no—
1999C22—41no—
2000C22—44no—
2001C22—44no—
2002C22—41no—
2003C22—41no—
2004C22—44no—
2005C22—41no—
2006C22—44no—
2007C22—816no—
2008C22—1616no—
2009C22C24×D411yescharacteristic
2010C22C23×#4111yescharacteristic
2011C22C22×H(5,𝔽2)11yescharacteristic
2012C22C2×#58511yescharacteristic
2013C22C2×#58511yescharacteristic
2014C22H(7,𝔽2)11yescharacteristic
2015C222−1+611yescharacteristic
2016C4—24no—
2017C4—22no—
2018C4—24no—
2019C4—22no—
2020C4—22no—
2021C4—24no—
2022C4—22no—
2023C4—24no—
2024C4—22no—
2025C4—44no—
2026C4—42no—
2027C4—41no—
2028C4—41no—
2029C4—42no—
2030C4—42no—
2031C4—44no—
2032C4—42no—
2033C4—41no—
2034C4—42no—
2035C4—41no—
2036C4—42no—
2037C4—42no—
2038C4—42no—
2039C4—42no—
2040C4—41no—
2041C4—44no—
2042C4D4×#4114yes—
2043C4#348814yes—
2044C2—42no—
2045C2—44no—
2046C2—42no—
2047C2—44no—
2048C2—44no—
2049C2—81no—
2050C2—84no—
2051C2C2×D4×#4111yescharacteristic
2052C2C2×#348811yescharacteristic
2053C2#6285311yescharacteristic
2054C2#6292111yescharacteristic
2055C2#6296611yescharacteristic
2056C2#6298311yescharacteristic
2057C2#6300911yescharacteristic
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×#3514C2semidirect
2. C2×#3475C2semidirect
3. #59813C2semidirect
4. #59568C2semidirect
5. #59148C2semidirect
6. #59131C2semidirect
7. #59128C2semidirect
8. #59083C2semidirect
9. #59054C2semidirect
10. #59035C2semidirect
11. #44351C2semidirect
12. #44143C2semidirect
13. #43034C2semidirect
14. #43032C2semidirect
15. #39726C2semidirect
16. #39596C2semidirect
17. #38923C2semidirect
18. #38922C2semidirect
19. #38910C2semidirect
20. #38902C2semidirect
21. #37845C2semidirect
22. #37648C2semidirect
23. #36493C2semidirect
24. #36444C2semidirect
25. #36161C2semidirect
26. D4×#121C2semidirect
27. #35569C2semidirect
28. #35522C2semidirect
29. #35292C2semidirect
30. #35260C2semidirect
31. #34976C2semidirect
32. #34937C2semidirect
33. #34243C2semidirect
34. #34204C2semidirect
35. C4×#537C2semidirect
37. C2×#559C22semidirect
42. C2×#555C22semidirect
43. C2×#554C22semidirect
44. C2×#553C22semidirect
45. C2×#552C22semidirect
46. C2×#552C22semidirect
47. C2×#552C22semidirect
48. C2×#551C22semidirect
49. C2×#551C22semidirect
50. C2×#551C22semidirect
51. C2×D4×Q8C22semidirect
52. C2×#548C22semidirect
53. C2×#548C22semidirect
54. C2×#547C22semidirect
58. C2×#546C22semidirect
61. C2×#542C22semidirect
62. C2×#538C22semidirect
64. C2×#533C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
69. C2×#529C22semidirect
70. C2×#529C22semidirect
71. C2×#529C22semidirect
73. C2×#525C22semidirect
75. C2×#518C22semidirect
76. C2×C4×#41C22semidirect
77. C2×C4×#41C22semidirect
78. C2×C4×#41C22semidirect
79. C2×C4×#41C22semidirect
81. C22×#117C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
86. #2856C22semidirect
87. #2850C22semidirect
88. #2848C22semidirect
90. #2722C22semidirect
91. #2720C22semidirect
92. #2715C22semidirect
93. #2715C22semidirect
94. #2707C22semidirect
95. #2700C22semidirect
96. #2696C22semidirect
97. #2695C22semidirect
98. #2694C22semidirect
99. #2692C22semidirect
100. #2688C22semidirect
101. #2685C22semidirect
102. #2684C22semidirect
103. #2682C22semidirect
104. #2681C22semidirect
105. #2681C22semidirect
106. #2678C22semidirect
107. #2675C22semidirect
108. #2672C22semidirect
109. #2672C22semidirect
110. #2671C22semidirect
111. #2670C22semidirect
112. #2668C22semidirect
113. #2668C22semidirect
114. #2628C22semidirect
115. #2625C22semidirect
116. #2624C22semidirect
117. #2624C22semidirect
118. #2620C22semidirect
119. #2615C22semidirect
120. #2609C22semidirect
121. #2592C22semidirect
122. #2592C22semidirect
123. #2582C22semidirect
124. #2580C22semidirect
125. #2580C22semidirect
126. #2567C22semidirect
127. #2560C22semidirect
128. #2559C22semidirect
129. #2557C22semidirect
130. #2557C22semidirect
131. #2556C22semidirect
132. #2555C22semidirect
133. #2555C22semidirect
134. #2548C22semidirect
136. #2547C22semidirect
137. #2547C22semidirect
138. #2546C22semidirect
139. #2545C22semidirect
140. #2545C22semidirect
141. #2544C22semidirect
142. #2543C22semidirect
143. #2542C22semidirect
145. #2540C22semidirect
146. #2540C22semidirect
147. #2540C22semidirect
148. #2538C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2521C22semidirect
157. #2512C22semidirect
158. #2492C22semidirect
159. #2490C22semidirect
160. #2485C22semidirect
161. #2485C22semidirect
162. #2485C22semidirect
163. #2485C22semidirect
164. #2481C22semidirect
165. #2480C22semidirect
166. #2480C22semidirect
167. #2480C22semidirect
168. #2479C22semidirect
169. #2477C22semidirect
170. #2477C22semidirect
171. #2474C22semidirect
172. #2472C22semidirect
173. #2472C22semidirect
174. #2471C22semidirect
175. #2471C22semidirect
176. #2470C22semidirect
177. #2467C22semidirect
178. #2466C22semidirect
179. #2464C22semidirect
180. #2463C22semidirect
181. #2461C22semidirect
182. #2460C22semidirect
183. #2456C22semidirect
184. #2456C22semidirect
185. #2453C22semidirect
186. #2452C22semidirect
187. #2449C22semidirect
188. #2448C22semidirect
190. #2441C22semidirect
191. #2437C22semidirect
194. #2434C22semidirect
195. #2431C22semidirect
196. #2429C22semidirect
199. #2427C22semidirect
200. #2427C22semidirect
201. #2427C22semidirect
202. #2427C22semidirect
203. #2426C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2422C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2417C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2415C22semidirect
217. #2415C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2414C22semidirect
221. #2414C22semidirect
222. #2414C22semidirect
224. #2410C22semidirect
225. #2409C22semidirect
228. #2408C22semidirect
229. #2408C22semidirect
230. #2407C22semidirect
231. #2407C22semidirect
232. #2407C22semidirect
233. #2407C22semidirect
234. #2392C22semidirect
235. #2392C22semidirect
236. #2370C22semidirect
238. #2367C22semidirect
239. #2366C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2360C22semidirect
246. #2359C22semidirect
247. #2355C22semidirect
249. #2352C22semidirect
250. Q8×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2342C22semidirect
254. #2342C22semidirect
255. Q8×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. #2334C22semidirect
260. #2325C22semidirect
261. #2325C22semidirect
264. #2324C22semidirect
265. #2324C22semidirect
266. #2324C22semidirect
267. #2324C22semidirect
268. #2324C22semidirect
269. #2323C22semidirect
270. #2323C22semidirect
271. #2323C22semidirect
272. #2316C22semidirect
273. #2316C22semidirect
274. #2314C22semidirect
275. #2311C22semidirect
276. #2311C22semidirect
277. #2309C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. C4×#121C22semidirect
295. C4×#121C22semidirect
296. #2297C22semidirect
297. #2285C22semidirect
298. #2280C22semidirect
299. #2274C22semidirect
300. C2×C4×C4⋊C4C22semidirect
352. #529D4semidirect
964. #126C2×D4semidirect
969. #125C2×D4semidirect
994. #123C2×D4semidirect
1016. C22⋊Q8C2×D4semidirect
1049. #121#41semidirect
1067. C4×Q8C2×D4semidirect
1107. C4×D4C2×D4semidirect
1127. #117C2×D4semidirect
1283. C2×C42C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×#34752
#598132
#595682
#591482
#591312
#591282
#590832
#590542
#590352
#443512
#441432
#430342
#430322
#397262
#395962
#389232
#389222
#389102
#389022
#378452
#376482
#364932
#364442
#361612
D4×#1212
#355692
#355222
#352922
#352602
#349762
#349372
#342432
#342042
C4×#5372