Finite Group Databasebeta

← #7746557

Subgroups — #7746557

Order 512.

8985 conjugacy classes of subgroups.

The subgroup lattice has 2116 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3494C211yesmaximal, characteristic, complemented
2C2×#3496C211yesmaximal, characteristic, complemented
3#44882C212yesmaximal, complemented
4#44881C212yesmaximal, complemented
5#44878C212yesmaximal, complemented
6#44877C212yesmaximal, complemented
7#44433C214yesmaximal, complemented
8#44231C214yesmaximal, complemented
9#43023C214yesmaximal, complemented
10#43022C214yesmaximal, complemented
11#42430C211yesmaximal, characteristic, complemented
12#42428C211yesmaximal, characteristic, complemented
13#42426C211yesmaximal, characteristic, complemented
14#42424C211yesmaximal, characteristic, complemented
15#41989C212yesmaximal, complemented
16#41986C212yesmaximal, complemented
17#41937C212yesmaximal, complemented
18#41936C212yesmaximal, complemented
19#36123C212yesmaximal, complemented
20#36107C212yesmaximal, complemented
21#36096C212yesmaximal, complemented
22D4×#121C212yesmaximal, complemented
23#35922C212yesmaximal, complemented
24#35906C212yesmaximal, complemented
25#35750C212yesmaximal, complemented
26#35730C211yesmaximal, characteristic, complemented
27#35728C211yesmaximal, characteristic, complemented
28#35693C211yesmaximal, characteristic, complemented
29#35691C211yesmaximal, characteristic, complemented
30#35680C212yesmaximal, complemented
31#35301C211yesmaximal, characteristic, complemented
32#35238C211yesmaximal, characteristic, complemented
33#35102C211yesmaximal, characteristic, complemented
34C2×#2392C211yesmaximal, characteristic, complemented
35#34236C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2212yescomplemented
37#3496—216no—
38#3494—216no—
39C2×#555C2212yescomplemented
40C2×#553C2212yescomplemented
41C2×#553C2212yescomplemented
42C2×#551C2212yescomplemented
43C2×#551C2212yescomplemented
44C2×#547C2212yescomplemented
45C2×#547C2211yescharacteristic, complemented
46C2×#547C2211yescharacteristic, complemented
47C2×#547C2212yescomplemented
48C2×#546C2212yescomplemented
49C2×#546C2212yescomplemented
50C2×#546C2212yescomplemented
51C2×#546C2214yescomplemented
52C2×#546C2212yescomplemented
53C2×#546C2212yescomplemented
54C2×#546C2214yescomplemented
55C2×D42C2212yescomplemented
56C2×D42C2211yescharacteristic, complemented
57C2×D42C2211yescharacteristic, complemented
58C2×D42C2214yescomplemented
59C2×D42C2212yescomplemented
60C2×#544C2211yescharacteristic, complemented
61C2×#542C2211yescharacteristic, complemented
62C2×#542C2211yescharacteristic, complemented
63C2×#540C2211yescharacteristic, complemented
64C2×#540C2211yescharacteristic, complemented
65C2×#537C2212yescomplemented
66C2×#535C2211yescharacteristic, complemented
67C2×#534C2214yescomplemented
68C2×#532C2211yescharacteristic
69C2×#532C2211yescharacteristic, complemented
70C2×#532C2211yescharacteristic, complemented
71C2×#529C2211yescharacteristic, complemented
72C2×#529C2211yescharacteristic, complemented
73C2×#525C2211yescharacteristic, complemented
74C22×#121C2212yes—
75C22×#121C2212yescomplemented
76C22×#121C2211yescharacteristic, complemented
77C2×#520C2211yescharacteristic, complemented
78C2×#518C2211yescharacteristic, complemented
79C22×C4×D4C2211yescharacteristic, complemented
80C22×C4×D4C2212yescomplemented
81C22×#117C2211yescharacteristic, complemented
82#2856C2212yescomplemented
83#2854C2212yescomplemented
84#2850C2212yescomplemented
85#2848C2212yescomplemented
86#2847C2212yescomplemented
87#2847C2212yescomplemented
88#2816C2212yescomplemented
89#2815C2212yescomplemented
90#2814C2212yescomplemented
91#2814C2212yescomplemented
92#2732C2214yescomplemented
93#2730C2214yescomplemented
94#2729C2214yescomplemented
95#2728C2214yescomplemented
96#2708C2214yescomplemented
97#2707C2214yescomplemented
98#2705C2214yescomplemented
99#2697C2214yescomplemented
100#2695C2214yescomplemented
101#2693C2214yescomplemented
102#2688C2214yescomplemented
103#2685C2214yescomplemented
104#2682C2214yescomplemented
105#2681C2214yescomplemented
106#2679C2214yescomplemented
107#2678C2214yescomplemented
108#2678C2214yescomplemented
109#2678C2214yescomplemented
110#2672C2214yescomplemented
111#2671C2214yescomplemented
112#2671C2214yescomplemented
113#2670C2214yescomplemented
114#2669C2214yescomplemented
115#2668C2214yescomplemented
116#2662C2212yescomplemented
117#2662C2212yescomplemented
118#2661C2212yescomplemented
119#2661C2212yescomplemented
120#2659C2212yescomplemented
121#2639C2212yescomplemented
122#2638C2212yescomplemented
123#2638C2212yescomplemented
124#2628C2211yescharacteristic, complemented
125#2628C2211yescharacteristic, complemented
126#2623C2212yescomplemented
127#2619C2211yescharacteristic, complemented
128#2619C2211yescharacteristic, complemented
129#2618C2212yescomplemented
130#2617C2212yescomplemented
131#2616C2212yescomplemented
132#2615C2212yescomplemented
133#2613C2212yescomplemented
134#2613C2212yescomplemented
135#2613C2212yescomplemented
136#2610C2212yescomplemented
137#2610C2212yescomplemented
138#2603C2212yescomplemented
139#2603C2212yescomplemented
140#2598C2214yescomplemented
141#2598C2212yescomplemented
142#2598C2212yescomplemented
143#2591C2212yescomplemented
144#2583C2212yescomplemented
145#2567C2211yescharacteristic, complemented
146#2566C2212yescomplemented
147#2563C2211yescharacteristic, complemented
148#2562C2212yescomplemented
149#2561C2212yescomplemented
150#2559C2214yescomplemented
151#2558C2214yescomplemented
152#2555C2214yescomplemented
153#2554C2214yescomplemented
154#2548C2211yescharacteristic, complemented
155#2544C2212yescomplemented
156#2543C2214yescomplemented
157#2543C2212yescomplemented
158#2543C2212yescomplemented
159#2541C2212yescomplemented
160#2541C2211yescharacteristic, complemented
161#2540C2212yescomplemented
162#2540C2212yescomplemented
163#2539C2212yescomplemented
164#2537C2212yescomplemented
165#2536C2211yescharacteristic, complemented
166#2536C2211yescharacteristic, complemented
167#2535C2212yescomplemented
168#2535C2211yescharacteristic, complemented
169#2535C2211yescharacteristic, complemented
170#2534C2214yescomplemented
171#2491C2212yescomplemented
172#2490C2212yescomplemented
173#2480C2214yescomplemented
174#2476C2214yescomplemented
175#2472C2214yescomplemented
176#2470C2214yescomplemented
177#2464C2214yescomplemented
178#2464C2214yescomplemented
179#2461C2214yescomplemented
180#2457C2214yescomplemented
181#2456C2214yescomplemented
182#2455C2214yescomplemented
183#2445C2214yescomplemented
184#2444C2214yescomplemented
185#2443C2214yescomplemented
186#2442C2212yescomplemented
187#2440C2212yescomplemented
188#2435C2212yescomplemented
189#2435C2212yescomplemented
190#2433C2212yescomplemented
191#2433C2212yescomplemented
192#2432C2214yescomplemented
193#2431C2214yescomplemented
194#2430C2214yescomplemented
195#2430C2212yescomplemented
196#2430C2212yescomplemented
197#2430C2212yescomplemented
198#2430C2212yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2214yescomplemented
202#2427C2212yescomplemented
203#2426C2212yescomplemented
204#2425C2214yescomplemented
205#2424C2214yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2424C2214yescomplemented
212#2422C2212yescomplemented
213#2420C2212yescomplemented
214#2418C2214yescomplemented
215#2418C2214yescomplemented
216#2417C2212yescomplemented
217#2416C2214yescomplemented
218#2416C2214yescomplemented
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2414C2212yescomplemented
222#2411C2214yescomplemented
223#2410C2214yescomplemented
224#2410C2214yescomplemented
225#2410C2214yescomplemented
226#2410C2214yescomplemented
227#2410C2214yescomplemented
228#2410C2214yescomplemented
229#2408C2212yescomplemented
230#2408C2212yescomplemented
231#2408C2212yescomplemented
232#2408C2214yescomplemented
233#2408C2212yescomplemented
234#2408C2212yescomplemented
235#2407C2212yescomplemented
236#2407C2214yescomplemented
237#2407C2214yescomplemented
238#2406C2212yescomplemented
239#2406C2212yescomplemented
240#2405C2214yescomplemented
241#2405C2214yescomplemented
242#2404C2212yescomplemented
243#2404C2212yescomplemented
244#2403C2214yescomplemented
245#2403C2214yescomplemented
246#2392C2211yescharacteristic, complemented
247#2392C2211yescharacteristic, complemented
248#2392C2211yescharacteristic, complemented
249#2392C2212yescomplemented
250#2392C2212yescomplemented
251#2392C2211yescharacteristic, complemented
252#2392C2211yescharacteristic, complemented
253#2392C2211yescharacteristic, complemented
254#2392C2212yescomplemented
255#2392C2211yescharacteristic, complemented
256#2392C2211yescharacteristic, complemented
257#2392C2212yescomplemented
258C2×#398C2211yescharacteristic, complemented
259C2×#397C2211yescharacteristic, complemented
260C2×#396C2212yescomplemented
261#2388C2212yescomplemented
262#2388C2212yescomplemented
263C2×#394C2212yescomplemented
264C2×#394C2212yescomplemented
265C2×#394C2211yescharacteristic, complemented
266C2×#392C2211yescharacteristic
267C2×#392C2212yescomplemented
268#2369C2212yescomplemented
269#2366C2212yescomplemented
270#2361C2214yescomplemented
271#2361C2212yescomplemented
272#2360C2212yescomplemented
273#2358C2214yescomplemented
274#2358C2214yescomplemented
275#2357C2211yescharacteristic, complemented
276#2357C2211yescharacteristic, complemented
277#2352C2212yescomplemented
278#2349C2211yescharacteristic, complemented
279#2349C2211yescharacteristic, complemented
280D4×C4⋊C4C2212yescomplemented
281#2342C2214yescomplemented
282#2339C2212yescomplemented
283#2339C2212yescomplemented
284D4×C22⋊C4C2214yescomplemented
285D4×C22⋊C4C2214yescomplemented
286D4×C22⋊C4C2212yescomplemented
287D4×C22⋊C4C2212yescomplemented
288D4×C22⋊C4C2214yescomplemented
289#2337C2214yescomplemented
290#2324C2212yescomplemented
291#2324C2212yescomplemented
292#2324C2214yescomplemented
293#2321C2214yescomplemented
294#2319C2212yescomplemented
295C4×#121C2212yescomplemented
296C4×#121C2212yescomplemented
297#2283C2211yescharacteristic, complemented
298#2275C2212yescomplemented
299C2×C4×C4⋊C4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C2×H(5,𝔽2)—216no—
302C2×H(5,𝔽2)—416no—
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yes—
308C22×#41C2312yes—
309C22×#41C2312yes—
310C23×D4C2311yescharacteristic
311C23×D4C2314yes—
312C23×D4C2314yes—
313C23×D4C2311yescharacteristic
314C23×D4C2312yes—
315C23×D4C2312yes—
316C23×D4C2314yes—
317C23×D4C2312yes—
318C23×D4C2312yes—
319C23×D4C2312yes—
320C23×D4C2312yes—
321C23×D4C2314yes—
322C24×C4C2311yescharacteristic
323C24×C4C2312yes—
324#555—216no—
325#553—216no—
326#553—216no—
327#551—216no—
328#551—216no—
329#547—216no—
330#547—216no—
331#547—28no—
332#547—28no—
333#546—216no—
334#546—232no—
335#546—216no—
336#546—216no—
337#546—216no—
338#546—416no—
339#546—48no—
340D42—216no—
341D42—28no—
342D42—28no—
343D42—48no—
344D42—416no—
345#544—28no—
346#542—28no—
347#542—28no—
348#540—28no—
349#540—28no—
350#537—216no—
351#535—28no—
352#534—232no—
353#532—28no—
354#532—28no—
355#532D4116yescomplemented
356C2×C4⋊Q8C2311yescharacteristic
357C2×C4⋊Q8C2311yescharacteristic
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2311yescharacteristic
360C2×#127C2311yescharacteristic
361C2×#127C2311yescharacteristic
362C2×#127C2312yes—
363C2×#127C2314yes—
364C2×#127C2311yescharacteristic
365#529—28no—
366#529—28no—
367C2×#126C2312yes—
368C2×#126C2312yes—
369C2×#126C2312yes—
370C2×#126C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2314yes—
382C2×#124C2312yes—
383#525—28no—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×#121—216no—
413C2×#121—28no—
414C2×#121—216no—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2314yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2314yes—
452C2×#121C2314yes—
453C2×#121C2314yes—
454C2×#121C2314yes—
455C2×#121C2311yescharacteristic
456C2×#121C2312yes—
457C2×#121C2311yescharacteristic
458C2×#120C2314yes—
459C2×#120C2312yes—
460C2×#120C2312yes—
461C2×#120C2312yes—
462C2×#120C2314yes—
463C2×#120C2314yes—
464C2×#120C2314yes—
465C2×#120C2314yes—
466C2×#120C2314yes—
467C2×#120C2314yes—
468C2×#120C2314yes—
469C2×#120C2314yes—
470C2×#120C2314yes—
471C2×#120C2314yes—
472C2×#120C2314yes—
473C2×#120C2314yes—
474C2×#120C2314yes—
475#520—28no—
476#518—28no—
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×D4—28no—
480C2×C4×D4—48no—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2314yes—
507C2×C4×D4C2314yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2312yes—
514C2×C4×D4C2312yes—
515C2×C4×D4C2312yes—
516C2×C4×D4C2312yes—
517C2×C4×D4C2312yes—
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×#117—28no—
521C2×#117C2312yes—
522C2×#117C2311yescharacteristic
523C2×#117C2311yescharacteristic
524C2×#117C2312yes—
525C2×#117C2311yescharacteristic
526C2×#117C2311yescharacteristic
527C2×#117C2311yescharacteristic
528C2×#117C2311yescharacteristic
529C2×#117C2311yescharacteristic
530C2×#117C2311yescharacteristic
531C2×#117C2311yescharacteristic
532C2×#117C2312yes—
533C22×C4⋊C4C2312yes—
534C22×C4⋊C4C2311yescharacteristic
535C22×C4⋊C4C2311yescharacteristic
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2312yes—
538C22×C4⋊C4C2311yescharacteristic
539C22×C4⋊C4C2311yescharacteristic
540C22×C4⋊C4C2312yes—
541C22×C4⋊C4C2312yes—
542C22×C22⋊C4C2312yes—
543C22×C22⋊C4C2312yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2314yes—
546C22×C22⋊C4C2314yes—
547C22×C22⋊C4C2311yescharacteristic
548C22×C22⋊C4C2311yescharacteristic
549C22×C22⋊C4C2312yes—
550C22×C22⋊C4C2312yes—
551C22×C22⋊C4C2314yes—
552C22×C22⋊C4C2312yes—
553C22×C22⋊C4C2312yes—
554C22×C22⋊C4C2314yes—
555C22×C22⋊C4C2314yes—
556C22×C22⋊C4C2312yes—
557C22×C42C2311yescharacteristic
558C22×C42C2312yes—
559C22×C42C2311yescharacteristic
560#400C2314yes—
561#400C2312yes—
562#400C2312yes—
563#400C2314yes—
564#399C2314yes—
565#399C2314yes—
566#399C2312yes—
567#399C2312yes—
568#398C2311yescharacteristic
569#398C2312yes—
570#398C2311yescharacteristic
571#398C2312yes—
572#398C2311yescharacteristic
573#398C2311yescharacteristic
574#398C2312yes—
575#398C2312yes—
576#398C2314yes—
577#398C2314yes—
578#398C2314yes—
579#397C2311yescharacteristic
580#397C2312yes—
581#397C2312yes—
582#397C2311yescharacteristic
583#397C2314yes—
584#397C2314yes—
585#397C2311yescharacteristic
586#397C2312yes—
587#397C2312yes—
588#397C2311yescharacteristic
589#397C2314yes—
590#397C2314yes—
591#397C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2312yes—
597#396C2312yes—
598#396C2312yes—
599#396C2312yes—
600#396C2312yes—
601#396C2312yes—
602#396C2312yes—
603#396C2312yes—
604#396C2314yes—
605#396C2314yes—
606#395C2312yes—
607#395C2312yes—
608#395C2312yes—
609#395C2312yes—
610#395C2314yes—
611#394C2312yes—
612#394C2312yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2312yes—
617#394C2312yes—
618#394C2312yes—
619#394C2312yes—
620#394C2312yes—
621#394C2311yescharacteristic
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2311yescharacteristic
632#394C2312yes—
633#394C2311yescharacteristic
634#394C2312yes—
635#394C2312yes—
636#394C2312yes—
637#394C2312yes—
638#394C2312yes—
639#394C2312yes—
640#394C2312yes—
641#394C2312yes—
642#394C2312yes—
643#394C2311yescharacteristic
644#394C2314yes—
645#394C2312yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#393C2314yes—
656#393C2312yes—
657#393C2312yes—
658#393C2312yes—
659#393C2312yes—
660#392C2314yes—
661#392C2312yes—
662#392C2312yes—
663#392C2312yes—
664#392C2312yes—
665#392C2312yes—
666#392C2312yes—
667#392C2311yescharacteristic
668#392C2312yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2311yescharacteristic
674#392C2312yes—
675#392C2311yescharacteristic
676#392C2312yes—
677#392C2311yescharacteristic
678#392C2314yes—
679#392C2312yes—
680#392C2314yes—
681#392C2314yes—
682#392C2314yes—
683#392C2314yes—
684#392C2314yes—
685#392C2314yes—
686#392C2314yes—
687#392C2314yes—
688#391C2312yes—
689#391C2314yes—
690#391C2314yes—
691#390C2312yes—
692#390C2312yes—
693#390C2312yes—
694#390C2314yes—
695#390C2314yes—
696#390C2314yes—
697#390C2312yes—
698#390C2314yes—
699#390C2312yes—
700#390C2314yes—
701#390C2314yes—
702#390C2314yes—
703#390C2314yes—
704#390C2314yes—
705#390C2314yes—
706#390C2314yes—
707#390C2314yes—
708#390C2314yes—
709#390C2312yes—
710#390C2312yes—
711#390C2314yes—
712#389C2314yes—
713#389C2314yes—
714#389C2312yes—
715#389C2312yes—
716#389C2314yes—
717#389C2314yes—
718#389C2312yes—
719#389C2312yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#387C2314yes—
741#387C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#384C2312yes—
795#383C2312yes—
796#382C2312yes—
797#382C2311yescharacteristic
798#382C2311yescharacteristic
799#381C2312yes—
800#381C2314yes—
801#381C2312yes—
802#381C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#380C2314yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2314yes—
815#380C2314yes—
816#380C2314yes—
817#379C2314yes—
818#379C2314yes—
819#379C2314yes—
820#379C2314yes—
821#379C2314yes—
822#379C2314yes—
823#379C2314yes—
824#379C2314yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850#376C2312yes—
851C2×#95C2311yescharacteristic
852C2×#95C2311yescharacteristic
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2312yes—
857C25C2411yescharacteristic
858C25C2412yes—
859C25C2414yes—
860C25C2414yes—
861C25C2412yes—
862H(5,𝔽2)—4128no—
863C2×#41—216no—
864C2×#41—24no—
865C2×#41—28no—
866C2×#41—28no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—48no—
871C2×#41—48no—
872C2×#41—48no—
873C2×#41—48no—
874C2×#41—48no—
875C2×#41—48no—
876C2×#41—48no—
877C2×#41—42no—
878C2×#41C2×D4116yescomplemented
879C22×Q8C2411yescharacteristic
880C22×Q8C2412yes—
881C22×Q8C2412yes—
882C22×Q8C2412yes—
883C22×D4—28no—
884C22×D4—28no—
885C22×D4—216no—
886C22×D4—216no—
887C22×D4—24no—
888C22×D4—216no—
889C22×D4—216no—
890C22×D4—216no—
891C22×D4—28no—
892C22×D4—28no—
893C22×D4—28no—
894C22×D4—24no—
895C22×D4—28no—
896C22×D4—28no—
897C22×D4—24no—
898C22×D4—42no—
899C22×D4—44no—
900C22×D4—44no—
901C22×D4—44no—
902C22×D4—44no—
903C22×D4—44no—
904C22×D4—48no—
905C22×D4—44no—
906C22×D4—48no—
907C22×D4—48no—
908C22×D4—48no—
909C22×D4—48no—
910C22×D4—48no—
911C22×D4—48no—
912C22×D4—48no—
913C22×D4—48no—
914C22×D4—48no—
915C22×D4C2412yes—
916C22×D4C2411yescharacteristic
917C22×D4C2412yes—
918C22×D4C2411yescharacteristic
919C22×D4C2411yescharacteristic
920C22×D4C2412yes—
921C22×D4C2412yes—
922C22×D4C2414yes—
923C22×D4C2412yes—
924C22×D4C2412yes—
925C22×D4C2412yes—
926C22×D4C2412yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C22×D4C2411yescharacteristic
932C22×D4C2411yescharacteristic
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2412yes—
937C22×D4C2414yes—
938C22×D4C2412yes—
939C22×D4C2412yes—
940C22×D4C2414yes—
941C22×D4C2412yes—
942C22×D4C2414yes—
943C22×D4C2412yes—
944C22×D4C2414yes—
945C22×D4C2414yes—
946C22×D4C2414yes—
947C22×D4C2412yes—
948C22×D4C2412yes—
949C22×D4C2414yes—
950C22×D4C2414yes—
951C22×D4C2412yes—
952C22×D4C2412yes—
953C23×C4—24no—
954C23×C4—24no—
955C23×C4—28no—
956C23×C4—42no—
957C23×C4—44no—
958C23×C4—44no—
959C23×C4C2411yescharacteristic
960C23×C4C2412yes—
961C23×C4C2412yes—
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2412yes—
965C23×C4C2411yescharacteristic
966C23×C4C2412yes—
967C23×C4C2414yes—
968C23×C4C2414yes—
969C23×C4C2411yescharacteristic
970C23×C4C2411yescharacteristic
971C23×C4C2411yescharacteristic
972C23×C4C2411yescharacteristic
973C23×C4C2411yescharacteristic
974C23×C4C2412yes—
975C23×C4C2412yes—
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2412yes—
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2412yes—
983C23×C4C2414yes—
984C23×C4C2414yes—
985C23×C4C2414yes—
986C23×C4C2411yescharacteristic
987C23×C4C2412yes—
988C23×C4C2412yes—
989C4⋊Q8—28no—
990C4⋊Q8—24no—
991C4⋊Q8—24no—
992C4⋊Q8C2×D418yescomplemented
993#127—24no—
994#127—24no—
995#127—44no—
996#127—48no—
997#127C2×D418yescomplemented
998#126—28no—
999#126—28no—
1000#126—28no—
1001#126—28no—
1002#125—24no—
1003#125—28no—
1004#125—24no—
1005#124—28no—
1006#124—24no—
1007#124—28no—
1008#124—28no—
1009#124—24no—
1010#124—28no—
1011#124—44no—
1012#124—48no—
1013#124C2×D4116yescomplemented
1014#123—28no—
1015#123—28no—
1016#123—28no—
1017#123—28no—
1018#123—28no—
1019#123—28no—
1020#123—216no—
1021#123—216no—
1022#123—28no—
1023#123—28no—
1024#123—216no—
1025#123—216no—
1026#123—28no—
1027#123—48no—
1028#123—48no—
1029#123—48no—
1030C22⋊Q8—216no—
1031C22⋊Q8—28no—
1032C22⋊Q8—28no—
1033C22⋊Q8—24no—
1034C22⋊Q8—28no—
1035C22⋊Q8—28no—
1036C22⋊Q8—28no—
1037C22⋊Q8—24no—
1038C22⋊Q8—28no—
1039C22⋊Q8—48no—
1040C22⋊Q8—44no—
1041C22⋊Q8—44no—
1042#121—216no—
1043#121—216no—
1044#121—24no—
1045#121—28no—
1046#121—28no—
1047#121—28no—
1048#121—24no—
1049#121—28no—
1050#121—28no—
1051#121—28no—
1052#121—216no—
1053#121—28no—
1054#121—28no—
1055#121—28no—
1056#121—24no—
1057#121—28no—
1058#121—28no—
1059#121—28no—
1060#121—28no—
1061#121—28no—
1062#121—24no—
1063#121—28no—
1064#121—28no—
1065#121—216no—
1066#121—216no—
1067#121—28no—
1068#121—28no—
1069#121—48no—
1070#121—48no—
1071#121—48no—
1072#121—48no—
1073#121—48no—
1074#121—48no—
1075#121—48no—
1076#121—44no—
1077#121—44no—
1078#121—44no—
1079#121—48no—
1080#121—48no—
1081#121—48no—
1082#121C2×D418yes—
1083#121C2×D418yescomplemented
1084#121C2×D4116yescomplemented
1085#120—216no—
1086#120—28no—
1087#120—216no—
1088#120—216no—
1089#120—28no—
1090#120—28no—
1091#120—216no—
1092#120—216no—
1093#120—48no—
1094#120—48no—
1095#120—48no—
1096#120—48no—
1097#120—48no—
1098#120—48no—
1099#120—48no—
1100#120—48no—
1101#120—48no—
1102C4×Q8—24no—
1103C4×Q8—24no—
1104C4×D4—24no—
1105C4×D4—24no—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—28no—
1109C4×D4—28no—
1110C4×D4—28no—
1111C4×D4—28no—
1112C4×D4—28no—
1113C4×D4—24no—
1114C4×D4—28no—
1115C4×D4—28no—
1116C4×D4—28no—
1117C4×D4—28no—
1118C4×D4—28no—
1119C4×D4—24no—
1120C4×D4—24no—
1121C4×D4—28no—
1122C4×D4—24no—
1123C4×D4—24no—
1124C4×D4—24no—
1125C4×D4—28no—
1126C4×D4—28no—
1127C4×D4—44no—
1128C4×D4—44no—
1129C4×D4—44no—
1130C4×D4—44no—
1131C4×D4—44no—
1132C4×D4—44no—
1133C4×D4—48no—
1134C4×D4—44no—
1135C4×D4—44no—
1136C4×D4—48no—
1137C4×D4—48no—
1138C4×D4—48no—
1139C4×D4—48no—
1140C4×D4C2×D418yescomplemented
1141C4×D4C2×D418yescomplemented
1142C4×D4C2×D4116yescomplemented
1143#117—24no—
1144#117—28no—
1145#117—28no—
1146#117—24no—
1147#117—24no—
1148#117—24no—
1149#117—24no—
1150#117—24no—
1151#117—24no—
1152#117—24no—
1153#117—24no—
1154#117—28no—
1155C2×C4⋊C4—24no—
1156C2×C4⋊C4—24no—
1157C2×C4⋊C4—24no—
1158C2×C4⋊C4—28no—
1159C2×C4⋊C4—24no—
1160C2×C4⋊C4—28no—
1161C2×C4⋊C4—28no—
1162C2×C4⋊C4—44no—
1163C2×C4⋊C4—44no—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2411yescharacteristic
1168C2×C4⋊C4C2411yescharacteristic
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2411yescharacteristic
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2412yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2412yes—
1195C2×C4⋊C4C2412yes—
1196C2×C4⋊C4C2412yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2412yes—
1199C2×C4⋊C4C2412yes—
1200C2×C4⋊C4C2412yes—
1201C2×C4⋊C4C2414yes—
1202C2×C4⋊C4C2414yes—
1203C2×C4⋊C4C2414yes—
1204C2×C4⋊C4C2414yes—
1205C2×C4⋊C4C2414yes—
1206C2×C4⋊C4C2414yes—
1207C2×C4⋊C4C2414yes—
1208C2×C4⋊C4C2414yes—
1209C2×C4⋊C4C2411yescharacteristic
1210C2×C4⋊C4C2411yescharacteristic
1211C2×C4⋊C4C2412yes—
1212C2×C22⋊C4—28no—
1213C2×C22⋊C4—24no—
1214C2×C22⋊C4—24no—
1215C2×C22⋊C4—28no—
1216C2×C22⋊C4—28no—
1217C2×C22⋊C4—28no—
1218C2×C22⋊C4—216no—
1219C2×C22⋊C4—216no—
1220C2×C22⋊C4—28no—
1221C2×C22⋊C4—44no—
1222C2×C22⋊C4—48no—
1223C2×C22⋊C4—44no—
1224C2×C22⋊C4—48no—
1225C2×C22⋊C4—44no—
1226C2×C22⋊C4—48no—
1227C2×C22⋊C4C2411yescharacteristic
1228C2×C22⋊C4C2411yescharacteristic
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2411yescharacteristic
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2411yescharacteristic
1238C2×C22⋊C4C2411yescharacteristic
1239C2×C22⋊C4C2411yescharacteristic
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2412yes—
1266C2×C22⋊C4C2412yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C22⋊C4C2412yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2414yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2412yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2414yes—
1287C2×C22⋊C4C2414yes—
1288C2×C22⋊C4C2414yes—
1289C2×C22⋊C4C2414yes—
1290C2×C22⋊C4C2414yes—
1291C2×C22⋊C4C2414yes—
1292C2×C22⋊C4C2414yes—
1293C2×C22⋊C4C2414yes—
1294C2×C22⋊C4C2414yes—
1295C2×C22⋊C4C2414yes—
1296C2×C22⋊C4C2414yes—
1297C2×C22⋊C4C2414yes—
1298C2×C22⋊C4C2414yes—
1299C2×C22⋊C4C2414yes—
1300C2×C22⋊C4C2414yes—
1301C2×C22⋊C4C2414yes—
1302C2×C22⋊C4C2414yes—
1303C2×C22⋊C4C2414yes—
1304C2×C22⋊C4C2414yes—
1305C2×C22⋊C4C2414yes—
1306C2×C22⋊C4C2414yes—
1307C2×C22⋊C4C2412yes—
1308C2×C22⋊C4C2412yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C42—24no—
1312C2×C42—44no—
1313C2×C42C2×D418yescomplemented
1314C2×C42C2411yescharacteristic
1315C2×C42C2411yescharacteristic
1316C2×C42C2412yes—
1317C2×C42C2412yes—
1318C2×C42C2411yescharacteristic
1319C2×C42C2411yescharacteristic
1320C2×C42C2412yes—
1321C2×C42C2412yes—
1322C2×C42C2412yes—
1323C2×C42C2414yes—
1324C2×C42C2414yes—
1325C2×C42C2412yes—
1326C2×C42C2412yes—
1327C2×C42C2414yes—
1328C2×C42C2411yescharacteristic
1329C2×C42C2411yescharacteristic
1330C2×C42C2411yescharacteristic
1331C2×C42C2411yescharacteristic
1332#95C2411yescharacteristic
1333#95C2411yescharacteristic
1334#95C2412yes—
1335#95C2412yes—
1336#95C2412yes—
1337#95C2412yes—
1338#95C2412yes—
1339#95C2412yes—
1340#95C2412yes—
1341#95C2412yes—
1342#95C2412yes—
1343#95C2414yes—
1344#95C2414yes—
1345#95C2411yescharacteristic
1346#95C2411yescharacteristic
1347#95C2412yes—
1348#95C2412yes—
1349#95C2414yes—
1350#95C2412yes—
1351#95C2414yes—
1352#95C2414yes—
1353#95C2414yes—
1354#95C2414yes—
1355#95C2412yes—
1356#95C2412yes—
1357#95C2414yes—
1358#95C2414yes—
1359#95C2414yes—
1360#95C2414yes—
1361#95C2414yes—
1362#95C2414yes—
1363#95C2414yes—
1364#95C2414yes—
1365#95C2414yes—
1366#95C2414yes—
1367#95C2414yes—
1368C24—24no—
1369C24—24no—
1370C24—22no—
1371C24—22no—
1372C24—24no—
1373C24—24no—
1374C24—28no—
1375C24—28no—
1376C24—28no—
1377C24—24no—
1378C24—28no—
1379C24—42no—
1380C24—42no—
1381C24—42no—
1382C24—41no—
1383C24—42no—
1384C24—42no—
1385C24—44no—
1386C24—44no—
1387C24—42no—
1388C24—44no—
1389C24—44no—
1390C24—44no—
1391C24—44no—
1392C24—44no—
1393C24—44no—
1394C24—44no—
1395C24—44no—
1396C24—44no—
1397C24—44no—
1398C24H(5,𝔽2)18yes—
1399C24C2514yes—
1400C24C2511yescharacteristic
1401C24C2512yes—
1402C24C2512yes—
1403C24C2512yes—
1404C24C2511yescharacteristic
1405C24C2512yes—
1406C24C2512yes—
1407C24C2511yescharacteristic
1408#41—432no—
1409#41—416no—
1410#41—432no—
1411#41—432no—
1412#41—432no—
1413#41—464no—
1414#41—816no—
1415C2×Q8—22no—
1416C2×Q8—24no—
1417C2×Q8—24no—
1418C2×Q8—22no—
1419C2×Q8—22no—
1420C2×Q8—44no—
1421C2×Q8—44no—
1422C2×Q8—44no—
1423C2×Q8C22×D418yes—
1424C2×D4—232no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—28no—
1428C2×D4—28no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—28no—
1437C2×D4—28no—
1438C2×D4—28no—
1439C2×D4—24no—
1440C2×D4—28no—
1441C2×D4—24no—
1442C2×D4—24no—
1443C2×D4—24no—
1444C2×D4—28no—
1445C2×D4—28no—
1446C2×D4—24no—
1447C2×D4—28no—
1448C2×D4—28no—
1449C2×D4—28no—
1450C2×D4—28no—
1451C2×D4—24no—
1452C2×D4—24no—
1453C2×D4—28no—
1454C2×D4—28no—
1455C2×D4—24no—
1456C2×D4—24no—
1457C2×D4—28no—
1458C2×D4—28no—
1459C2×D4—28no—
1460C2×D4—24no—
1461C2×D4—22no—
1462C2×D4—22no—
1463C2×D4—22no—
1464C2×D4—24no—
1465C2×D4—28no—
1466C2×D4—28no—
1467C2×D4—24no—
1468C2×D4—24no—
1469C2×D4—24no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—24no—
1473C2×D4—24no—
1474C2×D4—22no—
1475C2×D4—24no—
1476C2×D4—22no—
1477C2×D4—22no—
1478C2×D4—24no—
1479C2×D4—22no—
1480C2×D4—24no—
1481C2×D4—28no—
1482C2×D4—416no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—44no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—44no—
1489C2×D4—44no—
1490C2×D4—44no—
1491C2×D4—44no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—42no—
1495C2×D4—42no—
1496C2×D4—44no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—44no—
1501C2×D4—44no—
1502C2×D4—44no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—44no—
1506C2×D4—44no—
1507C2×D4—44no—
1508C2×D4—44no—
1509C2×D4—44no—
1510C2×D4—44no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—44no—
1517C2×D4—44no—
1518C2×D4—44no—
1519C2×D4—44no—
1520C2×D4—464no—
1521C2×D4—464no—
1522C2×D4—432no—
1523C2×D4—432no—
1524C2×D4—432no—
1525C2×D4—464no—
1526C2×D4—816no—
1527C2×D4—816no—
1528C2×D4—816no—
1529C2×D4—832no—
1530C2×D4C22×D414yes—
1531C2×D4C22×D414yes—
1532C2×D4C22×D418yes—
1533C2×D4C22×D418yes—
1534C2×D4C22×D418yes—
1535C2×D4C22×D418yes—
1536C22×C4—24no—
1537C22×C4—22no—
1538C22×C4—22no—
1539C22×C4—22no—
1540C22×C4—22no—
1541C22×C4—22no—
1542C22×C4—22no—
1543C22×C4—24no—
1544C22×C4—24no—
1545C22×C4—22no—
1546C22×C4—24no—
1547C22×C4—28no—
1548C22×C4—28no—
1549C22×C4—22no—
1550C22×C4—24no—
1551C22×C4—24no—
1552C22×C4—24no—
1553C22×C4—24no—
1554C22×C4—22no—
1555C22×C4—28no—
1556C22×C4—28no—
1557C22×C4—24no—
1558C22×C4—24no—
1559C22×C4—22no—
1560C22×C4—22no—
1561C22×C4—28no—
1562C22×C4—22no—
1563C22×C4—24no—
1564C22×C4—24no—
1565C22×C4—24no—
1566C22×C4—22no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—22no—
1570C22×C4—24no—
1571C22×C4—24no—
1572C22×C4—24no—
1573C22×C4—24no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—28no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—41no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—44no—
1584C22×C4—44no—
1585C22×C4—44no—
1586C22×C4—44no—
1587C22×C4—44no—
1588C22×C4—44no—
1589C22×C4—42no—
1590C22×C4—416no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—44no—
1594C22×C4—44no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—44no—
1600C22×C4—44no—
1601C22×C4—44no—
1602C22×C4—44no—
1603C22×C4—44no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—44no—
1608C22×C4—44no—
1609C22×C4—44no—
1610C22×C4—816no—
1611C22×C4C22×D414yes—
1612C22×C4C22×D414yes—
1613C22×C4C22×D414yes—
1614C22×C4C22×D418yes—
1615C22×C4C22×D418yes—
1616C22×C4H(5,𝔽2)14yescomplemented
1617C22×C4C2514yes—
1618C22×C4C2514yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2512yes—
1621C22×C4C2511yescharacteristic
1622C22×C4C2512yes—
1623C22×C4C2512yes—
1624C22×C4C2512yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2514yes—
1628C22×C4C2512yes—
1629C22×C4C2511yescharacteristic
1630C22×C4C2511yescharacteristic
1631C22×C4C2512yes—
1632C22×C4C2511yescharacteristic
1633C22×C4C2511yescharacteristic
1634C22×C4C2511yescharacteristic
1635C22×C4C2511yescharacteristic
1636C22×C4C2511yescharacteristic
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2511yescharacteristic
1640C22×C4C2511yescharacteristic
1641C22×C4C2512yes—
1642C22×C4C2511yescharacteristic
1643C4⋊C4—22no—
1644C4⋊C4—24no—
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—22no—
1648C4⋊C4—22no—
1649C4⋊C4—22no—
1650C4⋊C4—22no—
1651C4⋊C4—22no—
1652C4⋊C4—22no—
1653C4⋊C4—24no—
1654C4⋊C4—22no—
1655C4⋊C4—22no—
1656C4⋊C4—22no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—28no—
1660C4⋊C4—28no—
1661C4⋊C4—24no—
1662C4⋊C4—22no—
1663C4⋊C4—24no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—24no—
1668C4⋊C4—24no—
1669C4⋊C4—24no—
1670C4⋊C4—24no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—24no—
1674C4⋊C4—24no—
1675C4⋊C4—24no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—44no—
1681C4⋊C4—44no—
1682C4⋊C4—44no—
1683C4⋊C4—44no—
1684C4⋊C4—44no—
1685C4⋊C4—44no—
1686C4⋊C4—44no—
1687C4⋊C4—44no—
1688C4⋊C4C22×D414yes—
1689C4⋊C4C22×D414yes—
1690C4⋊C4C22×D418yes—
1691C22⋊C4—24no—
1692C22⋊C4—28no—
1693C22⋊C4—28no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—24no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—24no—
1701C22⋊C4—24no—
1702C22⋊C4—24no—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—24no—
1706C22⋊C4—28no—
1707C22⋊C4—28no—
1708C22⋊C4—28no—
1709C22⋊C4—22no—
1710C22⋊C4—22no—
1711C22⋊C4—24no—
1712C22⋊C4—28no—
1713C22⋊C4—22no—
1714C22⋊C4—22no—
1715C22⋊C4—22no—
1716C22⋊C4—22no—
1717C22⋊C4—22no—
1718C22⋊C4—22no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—24no—
1722C22⋊C4—24no—
1723C22⋊C4—24no—
1724C22⋊C4—24no—
1725C22⋊C4—24no—
1726C22⋊C4—28no—
1727C22⋊C4—28no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—28no—
1731C22⋊C4—24no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—24no—
1735C22⋊C4—28no—
1736C22⋊C4—24no—
1737C22⋊C4—24no—
1738C22⋊C4—28no—
1739C22⋊C4—28no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—42no—
1743C22⋊C4—42no—
1744C22⋊C4—42no—
1745C22⋊C4—42no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4—44no—
1751C22⋊C4—44no—
1752C22⋊C4—44no—
1753C22⋊C4—44no—
1754C22⋊C4—44no—
1755C22⋊C4—44no—
1756C22⋊C4—44no—
1757C22⋊C4—44no—
1758C22⋊C4—44no—
1759C22⋊C4—44no—
1760C22⋊C4—44no—
1761C22⋊C4—44no—
1762C22⋊C4—44no—
1763C22⋊C4—44no—
1764C22⋊C4—44no—
1765C22⋊C4—44no—
1766C22⋊C4—44no—
1767C22⋊C4—44no—
1768C22⋊C4—44no—
1769C22⋊C4—44no—
1770C22⋊C4—44no—
1771C22⋊C4C22×D418yes—
1772C22⋊C4C22×D418yes—
1773C22⋊C4C22×D418yes—
1774C22⋊C4C22×D418yes—
1775C42—22no—
1776C42—22no—
1777C42—22no—
1778C42—22no—
1779C42—24no—
1780C42—24no—
1781C42—24no—
1782C42—24no—
1783C42—24no—
1784C42—42no—
1785C42—42no—
1786C42—44no—
1787C42—44no—
1788C42—44no—
1789C42C22×D414yes—
1790C42C22×D414yes—
1791C42C22×D414yes—
1792C42C22×D414yes—
1793C23—21no—
1794C23—21no—
1795C23—22no—
1796C23—21no—
1797C23—22no—
1798C23—22no—
1799C23—22no—
1800C23—22no—
1801C23—22no—
1802C23—22no—
1803C23—22no—
1804C23—24no—
1805C23—24no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—24no—
1811C23—22no—
1812C23—22no—
1813C23—24no—
1814C23—21no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—216no—
1821C23—22no—
1822C23—21no—
1823C23—24no—
1824C23—24no—
1825C23—21no—
1826C23—24no—
1827C23—24no—
1828C23—22no—
1829C23—22no—
1830C23—24no—
1831C23—24no—
1832C23—22no—
1833C23—24no—
1834C23—24no—
1835C23—21no—
1836C23—24no—
1837C23—22no—
1838C23—48no—
1839C23—48no—
1840C23—44no—
1841C23—48no—
1842C23—416no—
1843C23—416no—
1844C23—48no—
1845C23—44no—
1846C23—84no—
1847C23—84no—
1848C23—82no—
1849C23—84no—
1850C23—84no—
1851C23—84no—
1852C23—84no—
1853C23—88no—
1854C23—88no—
1855C23—88no—
1856C23—88no—
1857C23—84no—
1858C23—88no—
1859C23—88no—
1860C23—88no—
1861C23—88no—
1862C23—88no—
1863C23—164no—
1864C23—164no—
1865C23—164no—
1866C23—164no—
1867C23—164no—
1868C23C23×D414yes—
1869C23C23×D414yes—
1870C23C23×D412yes—
1871C23C2×H(5,𝔽2)14yes—
1872C23C2×H(5,𝔽2)14yes—
1873C23C2×H(5,𝔽2)12yes—
1874C23C2×H(5,𝔽2)14yes—
1875C23C2611yescharacteristic
1876Q8—48no—
1877Q8—48no—
1878Q8—44no—
1879Q8—84no—
1880D4—28no—
1881D4—28no—
1882D4—216no—
1883D4—216no—
1884D4—216no—
1885D4—216no—
1886D4—28no—
1887D4—28no—
1888D4—48no—
1889D4—48no—
1890D4—48no—
1891D4—48no—
1892D4—416no—
1893D4—416no—
1894D4—48no—
1895D4—48no—
1896D4—416no—
1897D4—416no—
1898D4—48no—
1899D4—48no—
1900D4—416no—
1901D4—48no—
1902D4—44no—
1903D4—48no—
1904D4—84no—
1905D4—84no—
1906D4—88no—
1907D4—84no—
1908D4—84no—
1909D4—88no—
1910D4—84no—
1911D4—88no—
1912D4—88no—
1913D4—88no—
1914D4—88no—
1915D4—84no—
1916D4—164no—
1917D4—164no—
1918C2×C4—21no—
1919C2×C4—22no—
1920C2×C4—21no—
1921C2×C4—22no—
1922C2×C4—24no—
1923C2×C4—24no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—28no—
1931C2×C4—28no—
1932C2×C4—28no—
1933C2×C4—21no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—21no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—22no—
1943C2×C4—24no—
1944C2×C4—22no—
1945C2×C4—22no—
1946C2×C4—22no—
1947C2×C4—24no—
1948C2×C4—22no—
1949C2×C4—22no—
1950C2×C4—24no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—24no—
1954C2×C4—24no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—22no—
1958C2×C4—22no—
1959C2×C4—21no—
1960C2×C4—24no—
1961C2×C4—24no—
1962C2×C4—24no—
1963C2×C4—24no—
1964C2×C4—22no—
1965C2×C4—24no—
1966C2×C4—22no—
1967C2×C4—21no—
1968C2×C4—24no—
1969C2×C4—22no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—44no—
1976C2×C4—48no—
1977C2×C4—48no—
1978C2×C4—44no—
1979C2×C4—44no—
1980C2×C4—44no—
1981C2×C4—48no—
1982C2×C4—416no—
1983C2×C4—416no—
1984C2×C4—48no—
1985C2×C4—416no—
1986C2×C4—44no—
1987C2×C4—44no—
1988C2×C4—48no—
1989C2×C4—48no—
1990C2×C4—84no—
1991C2×C4—84no—
1992C2×C4—84no—
1993C2×C4—84no—
1994C2×C4—88no—
1995C2×C4—84no—
1996C2×C4—84no—
1997C2×C4—82no—
1998C2×C4—84no—
1999C2×C4—84no—
2000C2×C4—84no—
2001C2×C4—164no—
2002C2×C4C23×D412yes—
2003C2×C4C23×D412yes—
2004C2×C4C23×D414yes—
2005C2×C4C23×D414yes—
2006C2×C4C23×D412yes—
2007C2×C4C23×D412yes—
2008C2×C4C23×D412yes—
2009C2×C4C23×D412yes—
2010C2×C4C2×H(5,𝔽2)12yes—
2011C2×C4C2×H(5,𝔽2)12yes—
2012C2×C4#58514yes—
2013C2×C4#58512yes—
2014C22—22no—
2015C22—22no—
2016C22—24no—
2017C22—24no—
2018C22—24no—
2019C22—24no—
2020C22—24no—
2021C22—24no—
2022C22—22no—
2023C22—24no—
2024C22—24no—
2025C22—24no—
2026C22—24no—
2027C22—24no—
2028C22—24no—
2029C22—24no—
2030C22—24no—
2031C22—24no—
2032C22—41no—
2033C22—42no—
2034C22—42no—
2035C22—41no—
2036C22—42no—
2037C22—42no—
2038C22—44no—
2039C22—44no—
2040C22—42no—
2041C22—42no—
2042C22—44no—
2043C22—42no—
2044C22—42no—
2045C22—42no—
2046C22—44no—
2047C22—44no—
2048C22—42no—
2049C22—41no—
2050C22—41no—
2051C22—42no—
2052C22—44no—
2053C22—42no—
2054C22—41no—
2055C22—44no—
2056C22—42no—
2057C22—44no—
2058C22—44no—
2059C22—44no—
2060C22—44no—
2061C22—42no—
2062C22—44no—
2063C22—44no—
2064C22—816no—
2065C22—88no—
2066C22—1616no—
2067C22—168no—
2068C22—1616no—
2069C22#348414yes—
2070C22C24×D411yescharacteristic
2071C22C22×H(5,𝔽2)12yes—
2072C22C22×H(5,𝔽2)11yescharacteristic
2073C22C2×#58511yescharacteristic
2074C22C2×#58512yes—
2075C4—22no—
2076C4—22no—
2077C4—24no—
2078C4—24no—
2079C4—22no—
2080C4—22no—
2081C4—22no—
2082C4—22no—
2083C4—24no—
2084C4—44no—
2085C4—41no—
2086C4—41no—
2087C4—42no—
2088C4—41no—
2089C4—42no—
2090C4—42no—
2091C4—42no—
2092C4—41no—
2093C4—42no—
2094C4—41no—
2095C4—42no—
2096C4—42no—
2097C4—44no—
2098C4—42no—
2099C4—44no—
2100C4#348814yes—
2101C2—24no—
2102C2—44no—
2103C2—44no—
2104C2—42no—
2105C2—44no—
2106C2—44no—
2107C2—81no—
2108C2—82no—
2109C2—84no—
2110C2C2×#348411yescharacteristic
2111C2C2×#348811yescharacteristic
2112C2#6281211yescharacteristic
2113C2#6281812yes—
2114C2#6282212yes—
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×#3494C2semidirect
2. C2×#3496C2semidirect
3. #44882C2semidirect
4. #44881C2semidirect
5. #44878C2semidirect
6. #44877C2semidirect
7. #44433C2semidirect
8. #44231C2semidirect
9. #43023C2semidirect
10. #43022C2semidirect
11. #42430C2semidirect
12. #42428C2semidirect
13. #42426C2semidirect
14. #42424C2semidirect
15. #41989C2semidirect
16. #41986C2semidirect
17. #41937C2semidirect
18. #41936C2semidirect
19. #36123C2semidirect
20. #36107C2semidirect
21. #36096C2semidirect
22. D4×#121C2semidirect
23. #35922C2semidirect
24. #35906C2semidirect
25. #35750C2semidirect
26. #35730C2semidirect
27. #35728C2semidirect
28. #35693C2semidirect
29. #35691C2semidirect
30. #35680C2semidirect
31. #35301C2semidirect
32. #35238C2semidirect
33. #35102C2semidirect
34. C2×#2392C2semidirect
35. #34236C2semidirect
36. C22×H(5,𝔽2)C22semidirect
39. C2×#555C22semidirect
40. C2×#553C22semidirect
41. C2×#553C22semidirect
42. C2×#551C22semidirect
43. C2×#551C22semidirect
44. C2×#547C22semidirect
45. C2×#547C22semidirect
46. C2×#547C22semidirect
47. C2×#547C22semidirect
48. C2×#546C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×D42C22semidirect
56. C2×D42C22semidirect
57. C2×D42C22semidirect
58. C2×D42C22semidirect
59. C2×D42C22semidirect
60. C2×#544C22semidirect
61. C2×#542C22semidirect
62. C2×#542C22semidirect
63. C2×#540C22semidirect
64. C2×#540C22semidirect
65. C2×#537C22semidirect
66. C2×#535C22semidirect
67. C2×#534C22semidirect
69. C2×#532C22semidirect
70. C2×#532C22semidirect
71. C2×#529C22semidirect
72. C2×#529C22semidirect
73. C2×#525C22semidirect
75. C22×#121C22semidirect
76. C22×#121C22semidirect
77. C2×#520C22semidirect
78. C2×#518C22semidirect
79. C22×C4×D4C22semidirect
80. C22×C4×D4C22semidirect
81. C22×#117C22semidirect
82. #2856C22semidirect
83. #2854C22semidirect
84. #2850C22semidirect
85. #2848C22semidirect
86. #2847C22semidirect
87. #2847C22semidirect
88. #2816C22semidirect
89. #2815C22semidirect
90. #2814C22semidirect
91. #2814C22semidirect
92. #2732C22semidirect
93. #2730C22semidirect
94. #2729C22semidirect
95. #2728C22semidirect
96. #2708C22semidirect
97. #2707C22semidirect
98. #2705C22semidirect
99. #2697C22semidirect
100. #2695C22semidirect
101. #2693C22semidirect
102. #2688C22semidirect
103. #2685C22semidirect
104. #2682C22semidirect
105. #2681C22semidirect
106. #2679C22semidirect
107. #2678C22semidirect
108. #2678C22semidirect
109. #2678C22semidirect
110. #2672C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
113. #2670C22semidirect
114. #2669C22semidirect
115. #2668C22semidirect
116. #2662C22semidirect
117. #2662C22semidirect
118. #2661C22semidirect
119. #2661C22semidirect
120. #2659C22semidirect
121. #2639C22semidirect
122. #2638C22semidirect
123. #2638C22semidirect
124. #2628C22semidirect
125. #2628C22semidirect
126. #2623C22semidirect
127. #2619C22semidirect
128. #2619C22semidirect
129. #2618C22semidirect
130. #2617C22semidirect
131. #2616C22semidirect
132. #2615C22semidirect
133. #2613C22semidirect
134. #2613C22semidirect
135. #2613C22semidirect
136. #2610C22semidirect
137. #2610C22semidirect
138. #2603C22semidirect
139. #2603C22semidirect
140. #2598C22semidirect
141. #2598C22semidirect
142. #2598C22semidirect
143. #2591C22semidirect
144. #2583C22semidirect
145. #2567C22semidirect
146. #2566C22semidirect
147. #2563C22semidirect
148. #2562C22semidirect
149. #2561C22semidirect
150. #2559C22semidirect
151. #2558C22semidirect
152. #2555C22semidirect
153. #2554C22semidirect
154. #2548C22semidirect
155. #2544C22semidirect
156. #2543C22semidirect
157. #2543C22semidirect
158. #2543C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2540C22semidirect
162. #2540C22semidirect
163. #2539C22semidirect
164. #2537C22semidirect
165. #2536C22semidirect
166. #2536C22semidirect
167. #2535C22semidirect
168. #2535C22semidirect
169. #2535C22semidirect
170. #2534C22semidirect
171. #2491C22semidirect
172. #2490C22semidirect
173. #2480C22semidirect
174. #2476C22semidirect
175. #2472C22semidirect
176. #2470C22semidirect
177. #2464C22semidirect
178. #2464C22semidirect
179. #2461C22semidirect
180. #2457C22semidirect
181. #2456C22semidirect
182. #2455C22semidirect
183. #2445C22semidirect
184. #2444C22semidirect
185. #2443C22semidirect
186. #2442C22semidirect
187. #2440C22semidirect
188. #2435C22semidirect
189. #2435C22semidirect
190. #2433C22semidirect
191. #2433C22semidirect
192. #2432C22semidirect
193. #2431C22semidirect
194. #2430C22semidirect
195. #2430C22semidirect
196. #2430C22semidirect
197. #2430C22semidirect
198. #2430C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2427C22semidirect
203. #2426C22semidirect
204. #2425C22semidirect
205. #2424C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2424C22semidirect
212. #2422C22semidirect
213. #2420C22semidirect
214. #2418C22semidirect
215. #2418C22semidirect
216. #2417C22semidirect
217. #2416C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2414C22semidirect
222. #2411C22semidirect
223. #2410C22semidirect
224. #2410C22semidirect
225. #2410C22semidirect
226. #2410C22semidirect
227. #2410C22semidirect
228. #2410C22semidirect
229. #2408C22semidirect
230. #2408C22semidirect
231. #2408C22semidirect
232. #2408C22semidirect
233. #2408C22semidirect
234. #2408C22semidirect
235. #2407C22semidirect
236. #2407C22semidirect
237. #2407C22semidirect
238. #2406C22semidirect
239. #2406C22semidirect
240. #2405C22semidirect
241. #2405C22semidirect
242. #2404C22semidirect
243. #2404C22semidirect
244. #2403C22semidirect
245. #2403C22semidirect
246. #2392C22semidirect
247. #2392C22semidirect
248. #2392C22semidirect
249. #2392C22semidirect
250. #2392C22semidirect
251. #2392C22semidirect
252. #2392C22semidirect
253. #2392C22semidirect
254. #2392C22semidirect
255. #2392C22semidirect
256. #2392C22semidirect
257. #2392C22semidirect
258. C2×#398C22semidirect
259. C2×#397C22semidirect
260. C2×#396C22semidirect
261. #2388C22semidirect
262. #2388C22semidirect
263. C2×#394C22semidirect
264. C2×#394C22semidirect
265. C2×#394C22semidirect
267. C2×#392C22semidirect
268. #2369C22semidirect
269. #2366C22semidirect
270. #2361C22semidirect
271. #2361C22semidirect
272. #2360C22semidirect
273. #2358C22semidirect
274. #2358C22semidirect
275. #2357C22semidirect
276. #2357C22semidirect
277. #2352C22semidirect
278. #2349C22semidirect
279. #2349C22semidirect
280. D4×C4⋊C4C22semidirect
281. #2342C22semidirect
282. #2339C22semidirect
283. #2339C22semidirect
284. D4×C22⋊C4C22semidirect
285. D4×C22⋊C4C22semidirect
286. D4×C22⋊C4C22semidirect
287. D4×C22⋊C4C22semidirect
288. D4×C22⋊C4C22semidirect
289. #2337C22semidirect
290. #2324C22semidirect
291. #2324C22semidirect
292. #2324C22semidirect
293. #2321C22semidirect
294. #2319C22semidirect
295. C4×#121C22semidirect
296. C4×#121C22semidirect
297. #2283C22semidirect
298. #2275C22semidirect
299. C2×C4×C4⋊C4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
355. #532D4semidirect
878. C2×#41C2×D4semidirect
992. C4⋊Q8C2×D4semidirect
997. #127C2×D4semidirect
1013. #124C2×D4semidirect
1083. #121C2×D4semidirect
1084. #121C2×D4semidirect
1140. C4×D4C2×D4semidirect
1141. C4×D4C2×D4semidirect
1142. C4×D4C2×D4semidirect
1313. C2×C42C2×D4semidirect
1616. C22×C4H(5,𝔽2)semidirect

Maximal subgroups

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

subgroupindex
C2×#34942
C2×#34962
#448822
#448812
#448782
#448772
#444332
#442312
#430232
#430222
#424302
#424282
#424262
#424242
#419892
#419862
#419372
#419362
#361232
#361072
#360962
D4×#1212
#359222
#359062
#357502
#357302
#357282
#356932
#356912
#356802
#353012
#352382
#351022
C2×#23922
#342362