Finite Group Databasebeta

← #7680736

Subgroups — #7680736

Order 512.

8753 conjugacy classes of subgroups.

The subgroup lattice has 2137 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3511C211yesmaximal, characteristic, complemented
2C2×#3488C211yesmaximal, characteristic, complemented
3#59810C212yesmaximal, complemented
4#59808C212yesmaximal, complemented
5#59755C212yesmaximal, complemented
6#59650C212yesmaximal, complemented
7#59406C214yesmaximal, complemented
8#59131C214yesmaximal, complemented
9#45417C212yesmaximal, complemented
10#45404C212yesmaximal, complemented
11#44930C212yesmaximal, complemented
12#44929C212yesmaximal, complemented
13#43102C214yesmaximal, complemented
14#43101C214yesmaximal, complemented
15#39438C212yesmaximal, complemented
16#39433C212yesmaximal, complemented
17#37782C212yesmaximal, complemented
18#37781C212yesmaximal, complemented
19#37669C212yesmaximal, complemented
20#37664C212yesmaximal, complemented
21#36148C212yesmaximal, complemented
22#36123C212yesmaximal, complemented
23#35574C211yesmaximal, characteristic, complemented
24#35563C211yesmaximal, characteristic, complemented
25#35516C211yesmaximal, characteristic, complemented
26#35513C211yesmaximal, characteristic, complemented
27#35256C211yesmaximal, characteristic, complemented
28#35254C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30C2×#2491C211yesmaximal, characteristic, complemented
31#34743C211yesmaximal, characteristic, complemented
32#34274C211yesmaximal, characteristic, complemented
33#34258C211yesmaximal, characteristic, complemented
34C22⋊C4×#41C211yesmaximal, characteristic, complemented
35C4×#537C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2211yescharacteristic
37C23×#41C2211yescharacteristic
38#3511—216no—
39#3488—216no—
40C2×#556C2212yescomplemented
41C2×#555C2212yescomplemented
42C2×#554C2212yescomplemented
43C2×#553C2214yescomplemented
44C2×#550C2212yes—
45C2×#548C2212yes—
46C2×#548C2214yescomplemented
47C2×#547C2212yescomplemented
48C2×#546C2212yes—
49C2×#546C2214yes—
50C2×#546C2214yescomplemented
51C2×D42C2214yes—
52C2×D42C2212yes—
53C2×#542C2212yescomplemented
54C2×#542C2212yescomplemented
55C2×#537C2212yes—
56C2×#537C2211yescharacteristic
57C2×#537C2211yescharacteristic
58C2×#537C2211yescharacteristic, complemented
59C2×#535C2212yes—
60C2×#535C2211yescharacteristic
61C2×#535C2211yescharacteristic, complemented
62C2×#533C2212yescomplemented
63C2×#532C2212yescomplemented
64C2×#532C2211yescharacteristic, complemented
65C22×C4⋊Q8C2211yescharacteristic, complemented
66C22×#124C2212yescomplemented
67C2×#525C2212yes—
68C2×#525C2211yescharacteristic
69C2×#525C2211yescharacteristic, complemented
70C22×#121C2212yes—
71C22×#121C2211yescharacteristic
72C2×#520C2211yescharacteristic
73C2×#520C2211yescharacteristic, complemented
74C2×#520C2211yescharacteristic, complemented
75C2×C4×#41C2211yescharacteristic, complemented
76C2×C4×#41C2211yescharacteristic, complemented
77C2×C4×#41C2211yescharacteristic, complemented
78#2856C2212yescomplemented
79#2854C2212yescomplemented
80#2854C2212yescomplemented
81#2850C2212yescomplemented
82#2848C2212yescomplemented
83#2847C2212yescomplemented
84#2714C2214yescomplemented
85#2712C2214yescomplemented
86#2711C2214yescomplemented
87#2709C2214yescomplemented
88#2705C2214yescomplemented
89#2704C2214yescomplemented
90#2701C2214yescomplemented
91#2700C2214yescomplemented
92#2696C2214yescomplemented
93#2692C2214yescomplemented
94#2691C2214yescomplemented
95#2686C2214yescomplemented
96#2685C2214yescomplemented
97#2684C2214yescomplemented
98#2681C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2673C2214yescomplemented
103#2672C2214yescomplemented
104#2672C2214yescomplemented
105#2671C2214yescomplemented
106#2670C2214yescomplemented
107#2670C2214yescomplemented
108#2624C2212yescomplemented
109#2624C2212yescomplemented
110#2620C2212yescomplemented
111#2619C2212yescomplemented
112#2616C2212yescomplemented
113#2615C2212yescomplemented
114#2579C2214yescomplemented
115#2560C2214yescomplemented
116#2558C2214yescomplemented
117#2555C2214yescomplemented
118#2555C2214yescomplemented
119#2544C2214yescomplemented
120#2543C2214yescomplemented
121#2540C2214yescomplemented
122#2534C2214yescomplemented
123#2534C2214yescomplemented
124#2521C2214yescomplemented
125#2491C2212yescomplemented
126#2491C2212yescomplemented
127#2491C2212yescomplemented
128#2491C2212yescomplemented
129#2491C2212yescomplemented
130#2491C2212yescomplemented
131#2491C2212yescomplemented
132#2491C2212yescomplemented
133#2487C2212yescomplemented
134#2486C2212yescomplemented
135#2485C2212yescomplemented
136#2485C2212yescomplemented
137#2480C2214yescomplemented
138#2476C2214yescomplemented
139#2476C2214yescomplemented
140#2472C2214yescomplemented
141#2472C2214yescomplemented
142#2472C2214yescomplemented
143#2467C2214yescomplemented
144#2465C2214yescomplemented
145#2464C2214yescomplemented
146#2464C2214yescomplemented
147#2460C2214yescomplemented
148#2459C2214yescomplemented
149#2459C2214yescomplemented
150#2458C2214yescomplemented
151#2457C2214yescomplemented
152#2452C2212yescomplemented
153#2452C2212yescomplemented
154#2451C2212yescomplemented
155#2451C2212yescomplemented
156#2450C2214yescomplemented
157#2448C2212yescomplemented
158#2448C2212yescomplemented
159#2445C2212yescomplemented
160#2445C2212yescomplemented
161#2440C2212yescomplemented
162#2440C2212yescomplemented
163#2439C2212yescomplemented
164#2439C2212yescomplemented
165#2437C2214yescomplemented
166#2435C2212yescomplemented
167#2435C2214yescomplemented
168#2433C2212yescomplemented
169#2432C2212yescomplemented
170#2431C2212yescomplemented
171#2431C2214yescomplemented
172#2430C2214yescomplemented
173#2430C2214yescomplemented
174#2429C2211yescharacteristic, complemented
175#2429C2211yescharacteristic, complemented
176#2428C2212yescomplemented
177#2428C2211yescharacteristic, complemented
178#2428C2212yescomplemented
179#2428C2212yescomplemented
180#2428C2211yescharacteristic, complemented
181#2428C2212yescomplemented
182#2427C2211yescharacteristic, complemented
183#2427C2211yescharacteristic, complemented
184#2427C2214yescomplemented
185#2426C2212yescomplemented
186#2426C2211yescharacteristic, complemented
187#2426C2212yescomplemented
188#2426C2212yescomplemented
189#2426C2211yescharacteristic, complemented
190#2426C2212yescomplemented
191#2426C2214yescomplemented
192#2425C2212yescomplemented
193#2425C2212yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2424C2212yescomplemented
198#2424C2212yescomplemented
199#2423C2212yescomplemented
200#2422C2212yescomplemented
201#2421C2212yescomplemented
202#2420C2212yescomplemented
203#2419C2214yescomplemented
204#2418C2214yescomplemented
205#2418C2214yescomplemented
206#2418C2214yescomplemented
207#2416C2212yescomplemented
208#2416C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2212yescomplemented
211#2411C2214yescomplemented
212#2410C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2409C2214yescomplemented
217#2409C2212yescomplemented
218#2408C2212yescomplemented
219#2408C2212yescomplemented
220#2408C2214yescomplemented
221#2408C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2405C2214yescomplemented
227#2404C2214yescomplemented
228#2392C2212yescomplemented
229#2392C2212yescomplemented
230C2×#394C2212yescomplemented
231C2×#393C2212yescomplemented
232#2367C2214yescomplemented
233#2363C2212yescomplemented
234#2363C2212yescomplemented
235#2362C2212yescomplemented
236#2362C2212yescomplemented
237#2361C2212yescomplemented
238#2361C2212yescomplemented
239#2360C2212yescomplemented
240#2360C2212yescomplemented
241#2359C2214yescomplemented
242#2358C2214yescomplemented
243#2341C2211yescharacteristic, complemented
244#2341C2212yescomplemented
245#2341C2212yescomplemented
246#2341C2211yescharacteristic, complemented
247Q8×C22⋊C4C2211yescharacteristic, complemented
248Q8×C22⋊C4C2211yescharacteristic, complemented
249#2339C2212yescomplemented
250#2339C2212yescomplemented
251#2339C2211yescharacteristic, complemented
252#2339C2211yescharacteristic, complemented
253D4×C22⋊C4C2212yescomplemented
254D4×C22⋊C4C2214yescomplemented
255D4×C22⋊C4C2212yescomplemented
256D4×C22⋊C4C2212yescomplemented
257D4×C22⋊C4C2211yescharacteristic, complemented
258D4×C22⋊C4C2211yescharacteristic, complemented
259D4×C22⋊C4C2212yescomplemented
260D4×C22⋊C4C2214yescomplemented
261#2325C2214yescomplemented
262#2325C2214yescomplemented
263#2324C2212yescomplemented
264#2324C2212yescomplemented
265#2323C2212yescomplemented
266#2323C2212yescomplemented
267#2317C2211yescharacteristic, complemented
268#2316C2211yescharacteristic, complemented
269#2316C2211yescharacteristic, complemented
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic, complemented
272#2311C2211yescharacteristic, complemented
273#2311C2212yescomplemented
274#2309C2212yescomplemented
275#2309C2211yescharacteristic, complemented
276C4×C22⋊Q8C2212yescomplemented
277C4×C22⋊Q8C2212yescomplemented
278C4×#121C2212yescomplemented
279C4×#121C2212yescomplemented
280C4×#121C2214yescomplemented
281C4×#121C2214yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2212yescomplemented
287#2297C2212yescomplemented
288#2297C2212yescomplemented
289#2297C2211yescharacteristic, complemented
290#2296C2211yescharacteristic, complemented
291C2×#390C2212yescomplemented
292C2×#390C2211yescharacteristic, complemented
293C2×#390C2211yescharacteristic, complemented
294C2×#388C2212yescomplemented
295#2280C2212yescomplemented
296#2280C2211yescharacteristic, complemented
297C2×#380C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C2×C4×C22⋊C4C2212yescomplemented
300C2×C4×C22⋊C4C2211yescharacteristic, complemented
301C2×H(5,𝔽2)—28no—
302C2×H(5,𝔽2)—28no—
303C2×H(5,𝔽2)—44no—
304C22×#41—28no—
305C22×#41—28no—
306C22×#41—44no—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C22×#41C2312yes—
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C22×#41C2312yes—
313C22×#41C2312yes—
314C22×#41C2311yescharacteristic
315C22×#41C2311yescharacteristic
316C22×#41C2311yescharacteristic
317C22×#41C2314yes—
318C23×Q8C2311yescharacteristic
319C23×Q8C2312yes—
320C23×D4C2311yescharacteristic
321C23×D4C2312yes—
322C23×D4C2311yescharacteristic
323C23×D4C2312yes—
324C23×D4C2312yes—
325C23×D4C2314yes—
326C23×D4C2312yes—
327C23×D4C2314yes—
328C24×C4C2311yescharacteristic
329C24×C4C2312yes—
330#556—216no—
331#555—216no—
332#554—216no—
333#553—232no—
334#550—216no—
335#548—216no—
336#548—232no—
337#547—216no—
338#546—216no—
339#546—232no—
340#546—416no—
341D42—232no—
342D42—216no—
343#542—216no—
344#542—216no—
345#537—28no—
346#537—28no—
347#537—216no—
348#537D4116yescomplemented
349#535—28no—
350#535—216no—
351#535—44no—
352#533—216no—
353#532—28no—
354#532—216no—
355C2×C4⋊Q8—28no—
356C2×C4⋊Q8C2312yes—
357C2×C4⋊Q8C2312yes—
358C2×C4⋊Q8C2312yes—
359C2×C4⋊Q8C2312yes—
360C2×C4⋊Q8C2311yescharacteristic
361C2×#127C2314yes—
362C2×#127C2311yescharacteristic
363C2×#127C2312yes—
364C2×#127C2312yes—
365C2×#126C2314yes—
366C2×#126C2314yes—
367C2×#125C2314yes—
368C2×#124—48no—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2314yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#124C2314yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381#525—28no—
382#525—216no—
383#525—44no—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2312yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×#121—216no—
409C2×#121—28no—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2311yescharacteristic
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2311yescharacteristic
434C2×#121C2314yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#120C2314yes—
446C2×#120C2314yes—
447C2×#120C2312yes—
448C2×#120C2314yes—
449C2×#120C2314yes—
450C2×#120C2314yes—
451C2×#120C2314yes—
452C2×#120C2314yes—
453C2×#120C2312yes—
454C2×#120C2314yes—
455#520—28no—
456#520—28no—
457#520—28no—
458C4×#41—28no—
459C4×#41—44no—
460C4×#41—44no—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2314yes—
467C2×C4×Q8C2311yescharacteristic
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×D4C2314yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2314yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2311yescharacteristic
496C2×C4×D4C2314yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2314yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2314yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C22⋊C4C2311yescharacteristic
519C22×C22⋊C4C2312yes—
520C22×C22⋊C4C2314yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2314yes—
523C22×C22⋊C4C2311yescharacteristic
524C22×C22⋊C4C2312yes—
525C22×C22⋊C4C2312yes—
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C22⋊C4C2312yes—
529C22×C22⋊C4C2312yes—
530C22×C22⋊C4C2314yes—
531C22×C42C2312yes—
532C22×C42C2311yescharacteristic
533C22×C42C2311yescharacteristic
534C22×C42C2312yes—
535C22×C42C2312yes—
536C22×C42C2312yes—
537#400C2314yes—
538#399C2314yes—
539#399C2314yes—
540#399C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2312yes—
545#398C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2312yes—
549#397C2312yes—
550#397C2314yes—
551#397C2314yes—
552#397C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2312yes—
558#396C2312yes—
559#396C2312yes—
560#396C2312yes—
561#396C2314yes—
562#396C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#393C2314yes—
598#393C2314yes—
599#393C2314yes—
600#393C2314yes—
601#393C2314yes—
602#393C2314yes—
603#393C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2312yes—
610#392C2312yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2311yescharacteristic
620#391C2312yes—
621#391C2312yes—
622#391C2311yescharacteristic
623#391C2311yescharacteristic
624#391C2311yescharacteristic
625#391C2311yescharacteristic
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2311yescharacteristic
630#391C2314yes—
631#391C2314yes—
632#390C2314yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2314yes—
641#390C2314yes—
642#390C2312yes—
643#390C2312yes—
644#390C2314yes—
645#390C2312yes—
646#390C2311yescharacteristic
647#390C2312yes—
648#390C2311yescharacteristic
649#390C2311yescharacteristic
650#390C2312yes—
651#390C2314yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2312yes—
656#390C2312yes—
657#390C2311yescharacteristic
658#390C2314yes—
659#390C2311yescharacteristic
660#390C2314yes—
661#390C2314yes—
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2314yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#389C2312yes—
670#389C2312yes—
671#389C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2314yes—
680#389C2311yescharacteristic
681#389C2311yescharacteristic
682#389C2312yes—
683#389C2314yes—
684#389C2311yescharacteristic
685#389C2311yescharacteristic
686#389C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2312yes—
711#388C2312yes—
712#388C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2312yes—
756#386C2314yes—
757#386C2312yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#386C2312yes—
762#385C2314yes—
763#385C2312yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#384C2312yes—
778#382C2312yes—
779#381C2312yes—
780#381C2312yes—
781#381C2312yes—
782#381C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#379C2314yes—
808#379C2314yes—
809#379C2314yes—
810#379C2314yes—
811#379C2312yes—
812#379C2312yes—
813#379C2312yes—
814#379C2314yes—
815#379C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C22⋊C4C2314yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2311yescharacteristic
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2311yescharacteristic
853C2×#95C2311yescharacteristic
854C2×#95C2312yes—
855C2×#95C2312yes—
856C25C2411yescharacteristic
857C25C2412yes—
858C25C2412yes—
859C25C2414yes—
860H(5,𝔽2)—464no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—28no—
865C2×#41—28no—
866C2×#41—24no—
867C2×#41—216no—
868C2×#41—28no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—28no—
873C2×#41—28no—
874C2×#41—24no—
875C2×#41—24no—
876C2×#41—24no—
877C2×#41—28no—
878C2×#41—28no—
879C2×#41—24no—
880C2×#41—24no—
881C2×#41—24no—
882C2×#41—24no—
883C2×#41—44no—
884C2×#41—44no—
885C2×#41—42no—
886C2×#41—42no—
887C2×#41—44no—
888C2×#41—44no—
889C2×#41—48no—
890C2×#41—464no—
891C2×#41—84no—
892C2×#41C2×D418yes—
893C2×#41C2×D418yes—
894C2×#41#4118yescomplemented
895C22×Q8—24no—
896C22×Q8—24no—
897C22×Q8—28no—
898C22×Q8—42no—
899C22×Q8—44no—
900C22×Q8—82no—
901C22×Q8C2411yescharacteristic
902C22×Q8C2414yes—
903C22×Q8C2412yes—
904C22×Q8C2411yescharacteristic
905C22×Q8C2411yescharacteristic
906C22×Q8C2411yescharacteristic
907C22×Q8C2414yes—
908C22×D4—28no—
909C22×D4—28no—
910C22×D4—24no—
911C22×D4—216no—
912C22×D4—28no—
913C22×D4—24no—
914C22×D4—28no—
915C22×D4—216no—
916C22×D4—216no—
917C22×D4—24no—
918C22×D4—28no—
919C22×D4—28no—
920C22×D4—28no—
921C22×D4—24no—
922C22×D4—24no—
923C22×D4—42no—
924C22×D4—44no—
925C22×D4—44no—
926C22×D4—44no—
927C22×D4—48no—
928C22×D4—44no—
929C22×D4—48no—
930C22×D4—82no—
931C22×D4—84no—
932C22×D4C2412yes—
933C22×D4C2411yescharacteristic
934C22×D4C2412yes—
935C22×D4C2412yes—
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2412yes—
939C22×D4C2414yes—
940C22×D4C2412yes—
941C22×D4C2412yes—
942C22×D4C2414yes—
943C22×D4C2414yes—
944C22×D4C2412yes—
945C22×D4C2412yes—
946C22×D4C2412yes—
947C22×D4C2411yescharacteristic
948C22×D4C2411yescharacteristic
949C22×D4C2412yes—
950C22×D4C2411yescharacteristic
951C22×D4C2412yes—
952C22×D4C2414yes—
953C22×D4C2412yes—
954C22×D4C2414yes—
955C22×D4C2414yes—
956C22×D4C2414yes—
957C22×D4C2414yes—
958C22×D4C2412yes—
959C22×D4C2414yes—
960C22×D4C2414yes—
961C22×D4C2414yes—
962C23×C4—28no—
963C23×C4—24no—
964C23×C4—28no—
965C23×C4—24no—
966C23×C4—24no—
967C23×C4—44no—
968C23×C4C2411yescharacteristic
969C23×C4C2412yes—
970C23×C4C2411yescharacteristic
971C23×C4C2411yescharacteristic
972C23×C4C2411yescharacteristic
973C23×C4C2411yescharacteristic
974C23×C4C2411yescharacteristic
975C23×C4C2411yescharacteristic
976C23×C4C2411yescharacteristic
977C23×C4C2412yes—
978C23×C4C2412yes—
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2414yes—
983C23×C4C2412yes—
984C23×C4C2412yes—
985C23×C4C2412yes—
986C23×C4C2412yes—
987C23×C4C2412yes—
988C23×C4C2411yescharacteristic
989C23×C4C2414yes—
990C23×C4C2412yes—
991C23×C4C2414yes—
992C23×C4C2412yes—
993C23×C4C2414yes—
994C23×C4C2412yes—
995C23×C4C2412yes—
996C23×C4C2412yes—
997C23×C4C2411yescharacteristic
998C4⋊Q8—24no—
999C4⋊Q8—28no—
1000C4⋊Q8—28no—
1001C4⋊Q8—28no—
1002C4⋊Q8—28no—
1003#127—24no—
1004#127—216no—
1005#127—28no—
1006#127—44no—
1007#126—216no—
1008#126—216no—
1009#125—216no—
1010#124—24no—
1011#124—28no—
1012#124—24no—
1013#124—216no—
1014#124—216no—
1015#124—216no—
1016#124—216no—
1017#124—216no—
1018#124—48no—
1019#124—44no—
1020#124—48no—
1021#124—48no—
1022#123—28no—
1023#123—216no—
1024#123—216no—
1025#123—216no—
1026#123—48no—
1027#123—48no—
1028#123—48no—
1029#123—44no—
1030C22⋊Q8—24no—
1031C22⋊Q8—24no—
1032C22⋊Q8—28no—
1033C22⋊Q8—28no—
1034C22⋊Q8—28no—
1035C22⋊Q8—28no—
1036C22⋊Q8—216no—
1037C22⋊Q8—216no—
1038C22⋊Q8—216no—
1039C22⋊Q8—216no—
1040C22⋊Q8—48no—
1041C22⋊Q8—42no—
1042C22⋊Q8—42no—
1043C22⋊Q8—84no—
1044C22⋊Q8C2×D4116yes—
1045C22⋊Q8C2×D4116yes—
1046#121—24no—
1047#121—216no—
1048#121—24no—
1049#121—28no—
1050#121—28no—
1051#121—216no—
1052#121—28no—
1053#121—216no—
1054#121—28no—
1055#121—216no—
1056#121—28no—
1057#121—28no—
1058#121—28no—
1059#121—28no—
1060#121—28no—
1061#121—28no—
1062#121—28no—
1063#121—28no—
1064#121—216no—
1065#121—216no—
1066#121—216no—
1067#121—216no—
1068#121—28no—
1069#121—48no—
1070#121—44no—
1071#121—48no—
1072#121—42no—
1073#121—42no—
1074#121—44no—
1075#121—44no—
1076#121—84no—
1077#121—84no—
1078#121C2×D4116yes—
1079#121C2×D4132yes—
1080#121C2×D4116yes—
1081#120—28no—
1082#120—216no—
1083#120—216no—
1084#120—216no—
1085#120—216no—
1086#120—48no—
1087#120—48no—
1088#120—44no—
1089#120—48no—
1090#120—48no—
1091C4×Q8—24no—
1092C4×Q8—24no—
1093C4×Q8—28no—
1094C4×Q8—28no—
1095C4×Q8—28no—
1096C4×Q8—216no—
1097C4×Q8—42no—
1098C4×Q8—42no—
1099C4×Q8—42no—
1100C4×Q8—42no—
1101C4×D4—24no—
1102C4×D4—28no—
1103C4×D4—28no—
1104C4×D4—24no—
1105C4×D4—28no—
1106C4×D4—216no—
1107C4×D4—216no—
1108C4×D4—216no—
1109C4×D4—28no—
1110C4×D4—28no—
1111C4×D4—28no—
1112C4×D4—28no—
1113C4×D4—28no—
1114C4×D4—28no—
1115C4×D4—216no—
1116C4×D4—216no—
1117C4×D4—216no—
1118C4×D4—48no—
1119C4×D4—42no—
1120C4×D4—42no—
1121C4×D4—42no—
1122C4×D4—42no—
1123C4×D4—44no—
1124C4×D4—44no—
1125C4×D4—48no—
1126C4×D4—44no—
1127C4×D4—44no—
1128C4×D4—44no—
1129C4×D4—44no—
1130#117—24no—
1131#117—28no—
1132#117—24no—
1133#117—28no—
1134#117—24no—
1135#117—24no—
1136#117—28no—
1137#117—28no—
1138#117—216no—
1139#117—44no—
1140#117—44no—
1141C2×C4⋊C4—24no—
1142C2×C4⋊C4—28no—
1143C2×C4⋊C4—28no—
1144C2×C4⋊C4—24no—
1145C2×C4⋊C4—28no—
1146C2×C4⋊C4—28no—
1147C2×C4⋊C4C2×D418yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2412yes—
1175C2×C4⋊C4C2412yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2412yes—
1187C2×C4⋊C4C2414yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2412yes—
1190C2×C4⋊C4C2412yes—
1191C2×C4⋊C4C2414yes—
1192C2×C22⋊C4—28no—
1193C2×C22⋊C4—216no—
1194C2×C22⋊C4—24no—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4—44no—
1197C2×C22⋊C4—42no—
1198C2×C22⋊C4—44no—
1199C2×C22⋊C4—44no—
1200C2×C22⋊C4—44no—
1201C2×C22⋊C4—48no—
1202C2×C22⋊C4—44no—
1203C2×C22⋊C4—82no—
1204C2×C22⋊C4—84no—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2411yescharacteristic
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2411yescharacteristic
1219C2×C22⋊C4C2411yescharacteristic
1220C2×C22⋊C4C2411yescharacteristic
1221C2×C22⋊C4C2411yescharacteristic
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2411yescharacteristic
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2411yescharacteristic
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2412yes—
1263C2×C22⋊C4C2412yes—
1264C2×C22⋊C4C2412yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2412yes—
1268C2×C22⋊C4C2412yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2412yes—
1273C2×C22⋊C4C2412yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2414yes—
1277C2×C22⋊C4C2414yes—
1278C2×C22⋊C4C2412yes—
1279C2×C22⋊C4C2412yes—
1280C2×C22⋊C4C2412yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2412yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2411yescharacteristic
1286C2×C42—24no—
1287C2×C42—28no—
1288C2×C42—24no—
1289C2×C42—44no—
1290C2×C42—44no—
1291C2×C42—44no—
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2414yes—
1295C2×C42C2414yes—
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2412yes—
1300C2×C42C2412yes—
1301C2×C42C2414yes—
1302C2×C42C2412yes—
1303C2×C42C2411yescharacteristic
1304C2×C42C2411yescharacteristic
1305C2×C42C2414yes—
1306C2×C42C2412yes—
1307C2×C42C2411yescharacteristic
1308C2×C42C2411yescharacteristic
1309C2×C42C2411yescharacteristic
1310C2×C42C2412yes—
1311C2×C42C2412yes—
1312C2×C42C2412yes—
1313C2×C42C2412yes—
1314C2×C42C2414yes—
1315#95C2411yescharacteristic
1316#95C2411yescharacteristic
1317#95C2412yes—
1318#95C2411yescharacteristic
1319#95C2412yes—
1320#95C2412yes—
1321#95C2411yescharacteristic
1322#95C2412yes—
1323#95C2411yescharacteristic
1324#95C2412yes—
1325#95C2412yes—
1326#95C2411yescharacteristic
1327#95C2411yescharacteristic
1328#95C2411yescharacteristic
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2412yes—
1336#95C2412yes—
1337#95C2414yes—
1338#95C2414yes—
1339#95C2412yes—
1340#95C2412yes—
1341#95C2412yes—
1342#95C2414yes—
1343#95C2412yes—
1344#95C2412yes—
1345#95C2414yes—
1346#95C2414yes—
1347#95C2414yes—
1348#95C2414yes—
1349#95C2414yes—
1350#95C2412yes—
1351#95C2414yes—
1352#95C2414yes—
1353#95C2412yes—
1354#95C2412yes—
1355#95C2412yes—
1356#95C2412yes—
1357#95C2414yes—
1358#95C2414yes—
1359C24—22no—
1360C24—24no—
1361C24—22no—
1362C24—24no—
1363C24—22no—
1364C24—24no—
1365C24—22no—
1366C24—28no—
1367C24—24no—
1368C24—28no—
1369C24—24no—
1370C24—24no—
1371C24—41no—
1372C24—42no—
1373C24—42no—
1374C24—41no—
1375C24—42no—
1376C24—41no—
1377C24—44no—
1378C24—42no—
1379C24—42no—
1380C24—42no—
1381C24—42no—
1382C24—42no—
1383C24—44no—
1384C24—44no—
1385C24—44no—
1386C24—44no—
1387C24C2514yes—
1388C24C2511yescharacteristic
1389C24C2512yes—
1390C24C2512yes—
1391C24C2512yes—
1392C24C2512yes—
1393C24C2511yescharacteristic
1394C24C2511yescharacteristic
1395#41—232no—
1396#41—232no—
1397#41—232no—
1398#41—432no—
1399#41—432no—
1400#41—432no—
1401#41—432no—
1402#41—416no—
1403#41—416no—
1404#41—416no—
1405#41—832no—
1406C2×Q8—22no—
1407C2×Q8—22no—
1408C2×Q8—28no—
1409C2×Q8—24no—
1410C2×Q8—28no—
1411C2×Q8—22no—
1412C2×Q8—22no—
1413C2×Q8—22no—
1414C2×Q8—24no—
1415C2×Q8—22no—
1416C2×Q8—22no—
1417C2×Q8—22no—
1418C2×Q8—22no—
1419C2×Q8—28no—
1420C2×Q8—42no—
1421C2×Q8—44no—
1422C2×Q8—44no—
1423C2×Q8—44no—
1424C2×Q8—416no—
1425C2×Q8—816no—
1426C2×Q8C22×D414yes—
1427C2×Q8C22×D414yes—
1428C2×Q8C2×#4114yes—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—24no—
1438C2×D4—24no—
1439C2×D4—24no—
1440C2×D4—28no—
1441C2×D4—24no—
1442C2×D4—24no—
1443C2×D4—28no—
1444C2×D4—24no—
1445C2×D4—24no—
1446C2×D4—24no—
1447C2×D4—24no—
1448C2×D4—28no—
1449C2×D4—28no—
1450C2×D4—24no—
1451C2×D4—28no—
1452C2×D4—28no—
1453C2×D4—28no—
1454C2×D4—24no—
1455C2×D4—22no—
1456C2×D4—22no—
1457C2×D4—28no—
1458C2×D4—24no—
1459C2×D4—28no—
1460C2×D4—24no—
1461C2×D4—24no—
1462C2×D4—28no—
1463C2×D4—22no—
1464C2×D4—22no—
1465C2×D4—22no—
1466C2×D4—28no—
1467C2×D4—24no—
1468C2×D4—24no—
1469C2×D4—24no—
1470C2×D4—22no—
1471C2×D4—22no—
1472C2×D4—22no—
1473C2×D4—24no—
1474C2×D4—22no—
1475C2×D4—24no—
1476C2×D4—24no—
1477C2×D4—24no—
1478C2×D4—432no—
1479C2×D4—432no—
1480C2×D4—44no—
1481C2×D4—44no—
1482C2×D4—44no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—42no—
1486C2×D4—44no—
1487C2×D4—42no—
1488C2×D4—44no—
1489C2×D4—42no—
1490C2×D4—42no—
1491C2×D4—44no—
1492C2×D4—42no—
1493C2×D4—42no—
1494C2×D4—44no—
1495C2×D4—44no—
1496C2×D4—44no—
1497C2×D4—42no—
1498C2×D4—42no—
1499C2×D4—42no—
1500C2×D4—44no—
1501C2×D4—44no—
1502C2×D4—44no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—42no—
1506C2×D4—44no—
1507C2×D4—42no—
1508C2×D4—44no—
1509C2×D4—44no—
1510C2×D4—44no—
1511C2×D4—44no—
1512C2×D4—44no—
1513C2×D4—44no—
1514C2×D4—432no—
1515C2×D4—416no—
1516C2×D4—464no—
1517C2×D4—416no—
1518C2×D4—816no—
1519C2×D4—832no—
1520C2×D4C22×D418yes—
1521C2×D4C22×D418yes—
1522C2×D4C22×D414yes—
1523C2×D4C22×D414yes—
1524C2×D4C22×D4116yes—
1525C2×D4C2×#4118yes—
1526C2×D4C2×#4114yes—
1527C22×C4—24no—
1528C22×C4—24no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—24no—
1533C22×C4—22no—
1534C22×C4—24no—
1535C22×C4—22no—
1536C22×C4—24no—
1537C22×C4—22no—
1538C22×C4—24no—
1539C22×C4—24no—
1540C22×C4—22no—
1541C22×C4—22no—
1542C22×C4—22no—
1543C22×C4—24no—
1544C22×C4—28no—
1545C22×C4—24no—
1546C22×C4—22no—
1547C22×C4—24no—
1548C22×C4—24no—
1549C22×C4—24no—
1550C22×C4—22no—
1551C22×C4—22no—
1552C22×C4—28no—
1553C22×C4—22no—
1554C22×C4—22no—
1555C22×C4—24no—
1556C22×C4—22no—
1557C22×C4—24no—
1558C22×C4—22no—
1559C22×C4—24no—
1560C22×C4—22no—
1561C22×C4—22no—
1562C22×C4—28no—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—24no—
1566C22×C4—24no—
1567C22×C4—22no—
1568C22×C4—22no—
1569C22×C4—22no—
1570C22×C4—22no—
1571C22×C4—22no—
1572C22×C4—24no—
1573C22×C4—28no—
1574C22×C4—28no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—42no—
1578C22×C4—42no—
1579C22×C4—42no—
1580C22×C4—42no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—41no—
1584C22×C4—44no—
1585C22×C4—42no—
1586C22×C4—41no—
1587C22×C4—42no—
1588C22×C4—432no—
1589C22×C4—42no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—42no—
1593C22×C4—42no—
1594C22×C4—42no—
1595C22×C4—44no—
1596C22×C4—42no—
1597C22×C4—41no—
1598C22×C4—42no—
1599C22×C4—41no—
1600C22×C4—42no—
1601C22×C4—42no—
1602C22×C4—44no—
1603C22×C4—44no—
1604C22×C4—44no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—44no—
1608C22×C4—44no—
1609C22×C4—42no—
1610C22×C4—42no—
1611C22×C4—416no—
1612C22×C4C22×D418yes—
1613C22×C4C22×D418yes—
1614C22×C4C22×D418yes—
1615C22×C4C22×D414yes—
1616C22×C4C2×#4118yes—
1617C22×C4C2×#4114yes—
1618C22×C4H(5,𝔽2)14yes—
1619C22×C4C2511yescharacteristic
1620C22×C4C2511yescharacteristic
1621C22×C4C2511yescharacteristic
1622C22×C4C2511yescharacteristic
1623C22×C4C2512yes—
1624C22×C4C2514yes—
1625C22×C4C2512yes—
1626C22×C4C2512yes—
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2512yes—
1630C22×C4C2511yescharacteristic
1631C22×C4C2511yescharacteristic
1632C22×C4C2511yescharacteristic
1633C22×C4C2512yes—
1634C22×C4C2514yes—
1635C22×C4C2512yes—
1636C22×C4C2512yes—
1637C22×C4C2512yes—
1638C22×C4C2512yes—
1639C22×C4C2514yes—
1640C22×C4C2512yes—
1641C22×C4C2511yescharacteristic
1642C22×C4C2511yescharacteristic
1643C22×C4C2511yescharacteristic
1644C22×C4C2511yescharacteristic
1645C22×C4C2511yescharacteristic
1646C4⋊C4—22no—
1647C4⋊C4—22no—
1648C4⋊C4—24no—
1649C4⋊C4—28no—
1650C4⋊C4—28no—
1651C4⋊C4—24no—
1652C4⋊C4—28no—
1653C4⋊C4—28no—
1654C4⋊C4—28no—
1655C4⋊C4—22no—
1656C4⋊C4—22no—
1657C4⋊C4—24no—
1658C4⋊C4—24no—
1659C4⋊C4—24no—
1660C4⋊C4—24no—
1661C4⋊C4—24no—
1662C4⋊C4—24no—
1663C4⋊C4—28no—
1664C4⋊C4—24no—
1665C4⋊C4—24no—
1666C4⋊C4—28no—
1667C4⋊C4—22no—
1668C4⋊C4—22no—
1669C4⋊C4—22no—
1670C4⋊C4—22no—
1671C4⋊C4—24no—
1672C4⋊C4—24no—
1673C4⋊C4—42no—
1674C4⋊C4—42no—
1675C4⋊C4—42no—
1676C4⋊C4—42no—
1677C4⋊C4—42no—
1678C4⋊C4—44no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—44no—
1682C4⋊C4—44no—
1683C4⋊C4—44no—
1684C4⋊C4—44no—
1685C4⋊C4—42no—
1686C4⋊C4—44no—
1687C4⋊C4C22×D418yes—
1688C4⋊C4C22×D418yes—
1689C4⋊C4C22×D4116yes—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—24no—
1693C22⋊C4—28no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—28no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—28no—
1701C22⋊C4—24no—
1702C22⋊C4—22no—
1703C22⋊C4—28no—
1704C22⋊C4—24no—
1705C22⋊C4—24no—
1706C22⋊C4—28no—
1707C22⋊C4—28no—
1708C22⋊C4—28no—
1709C22⋊C4—28no—
1710C22⋊C4—28no—
1711C22⋊C4—24no—
1712C22⋊C4—28no—
1713C22⋊C4—24no—
1714C22⋊C4—28no—
1715C22⋊C4—24no—
1716C22⋊C4—24no—
1717C22⋊C4—28no—
1718C22⋊C4—24no—
1719C22⋊C4—24no—
1720C22⋊C4—22no—
1721C22⋊C4—22no—
1722C22⋊C4—28no—
1723C22⋊C4—28no—
1724C22⋊C4—24no—
1725C22⋊C4—22no—
1726C22⋊C4—24no—
1727C22⋊C4—28no—
1728C22⋊C4—22no—
1729C22⋊C4—44no—
1730C22⋊C4—41no—
1731C22⋊C4—41no—
1732C22⋊C4—42no—
1733C22⋊C4—42no—
1734C22⋊C4—44no—
1735C22⋊C4—44no—
1736C22⋊C4—44no—
1737C22⋊C4—44no—
1738C22⋊C4—44no—
1739C22⋊C4—42no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4—42no—
1745C22⋊C4—44no—
1746C22⋊C4—42no—
1747C22⋊C4—42no—
1748C22⋊C4—42no—
1749C22⋊C4—42no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—42no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—44no—
1756C22⋊C4—44no—
1757C22⋊C4—42no—
1758C22⋊C4—42no—
1759C22⋊C4—44no—
1760C22⋊C4—44no—
1761C22⋊C4—44no—
1762C22⋊C4—42no—
1763C22⋊C4—42no—
1764C22⋊C4—42no—
1765C22⋊C4—42no—
1766C22⋊C4—44no—
1767C22⋊C4—44no—
1768C22⋊C4C22×D4116yes—
1769C22⋊C4C22×D4116yes—
1770C22⋊C4H(5,𝔽2)14yescomplemented
1771C42—22no—
1772C42—24no—
1773C42—22no—
1774C42—24no—
1775C42—22no—
1776C42—22no—
1777C42—24no—
1778C42—28no—
1779C42—28no—
1780C42—28no—
1781C42—24no—
1782C42—22no—
1783C42—22no—
1784C42—22no—
1785C42—22no—
1786C42—24no—
1787C42—24no—
1788C42—28no—
1789C42—42no—
1790C42—42no—
1791C42—42no—
1792C42—42no—
1793C42—44no—
1794C23—21no—
1795C23—21no—
1796C23—21no—
1797C23—21no—
1798C23—21no—
1799C23—22no—
1800C23—21no—
1801C23—22no—
1802C23—22no—
1803C23—22no—
1804C23—21no—
1805C23—22no—
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—21no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—21no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—21no—
1822C23—22no—
1823C23—24no—
1824C23—21no—
1825C23—22no—
1826C23—21no—
1827C23—24no—
1828C23—21no—
1829C23—24no—
1830C23—22no—
1831C23—21no—
1832C23—22no—
1833C23—24no—
1834C23—24no—
1835C23—21no—
1836C23—22no—
1837C23—24no—
1838C23—21no—
1839C23—22no—
1840C23—21no—
1841C23—22no—
1842C23—24no—
1843C23—48no—
1844C23—44no—
1845C23—48no—
1846C23—44no—
1847C23—44no—
1848C23—48no—
1849C23—416no—
1850C23—44no—
1851C23—48no—
1852C23—82no—
1853C23—82no—
1854C23—82no—
1855C23—84no—
1856C23—84no—
1857C23—84no—
1858C23—84no—
1859C23—88no—
1860C23—84no—
1861C23—84no—
1862C23—84no—
1863C23—84no—
1864C23—84no—
1865C23—88no—
1866C23—88no—
1867C23—88no—
1868C23—84no—
1869C23—164no—
1870C23—164no—
1871C23C23×D414yes—
1872C23C23×D414yes—
1873C23C23×D412yes—
1874C23C22×#4114yes—
1875C23C22×#4112yes—
1876C23C2×H(5,𝔽2)12yes—
1877C23C2×H(5,𝔽2)12yes—
1878C23C2611yescharacteristic
1879Q8—28no—
1880Q8—28no—
1881Q8—28no—
1882Q8—48no—
1883Q8—416no—
1884Q8—44no—
1885Q8—88no—
1886D4—216no—
1887D4—216no—
1888D4—216no—
1889D4—28no—
1890D4—28no—
1891D4—28no—
1892D4—416no—
1893D4—48no—
1894D4—416no—
1895D4—416no—
1896D4—48no—
1897D4—48no—
1898D4—416no—
1899D4—48no—
1900D4—48no—
1901D4—48no—
1902D4—48no—
1903D4—48no—
1904D4—48no—
1905D4—44no—
1906D4—88no—
1907D4—88no—
1908D4—84no—
1909D4—88no—
1910D4—84no—
1911D4—88no—
1912D4—88no—
1913D4—84no—
1914D4—164no—
1915D4—164no—
1916C2×C4—21no—
1917C2×C4—21no—
1918C2×C4—22no—
1919C2×C4—22no—
1920C2×C4—22no—
1921C2×C4—21no—
1922C2×C4—24no—
1923C2×C4—22no—
1924C2×C4—22no—
1925C2×C4—22no—
1926C2×C4—24no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—216no—
1931C2×C4—216no—
1932C2×C4—216no—
1933C2×C4—22no—
1934C2×C4—22no—
1935C2×C4—21no—
1936C2×C4—21no—
1937C2×C4—22no—
1938C2×C4—22no—
1939C2×C4—22no—
1940C2×C4—24no—
1941C2×C4—21no—
1942C2×C4—21no—
1943C2×C4—24no—
1944C2×C4—22no—
1945C2×C4—21no—
1946C2×C4—21no—
1947C2×C4—21no—
1948C2×C4—21no—
1949C2×C4—21no—
1950C2×C4—24no—
1951C2×C4—22no—
1952C2×C4—22no—
1953C2×C4—22no—
1954C2×C4—22no—
1955C2×C4—21no—
1956C2×C4—21no—
1957C2×C4—24no—
1958C2×C4—22no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—22no—
1962C2×C4—22no—
1963C2×C4—21no—
1964C2×C4—21no—
1965C2×C4—24no—
1966C2×C4—21no—
1967C2×C4—21no—
1968C2×C4—22no—
1969C2×C4—21no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—22no—
1973C2×C4—21no—
1974C2×C4—21no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—24no—
1978C2×C4—22no—
1979C2×C4—21no—
1980C2×C4—22no—
1981C2×C4—22no—
1982C2×C4—21no—
1983C2×C4—21no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—48no—
1988C2×C4—48no—
1989C2×C4—416no—
1990C2×C4—44no—
1991C2×C4—48no—
1992C2×C4—44no—
1993C2×C4—48no—
1994C2×C4—48no—
1995C2×C4—44no—
1996C2×C4—48no—
1997C2×C4—44no—
1998C2×C4—44no—
1999C2×C4—44no—
2000C2×C4—44no—
2001C2×C4—44no—
2002C2×C4—48no—
2003C2×C4—84no—
2004C2×C4—84no—
2005C2×C4—88no—
2006C2×C4—88no—
2007C2×C4—84no—
2008C2×C4—82no—
2009C2×C4—84no—
2010C2×C4—88no—
2011C2×C4—84no—
2012C2×C4—84no—
2013C2×C4#546116yescomplemented
2014C2×C4C23×D414yes—
2015C2×C4C23×D414yes—
2016C2×C4C23×D418yes—
2017C2×C4C23×D412yes—
2018C2×C4C23×D412yes—
2019C2×C4C22×#4114yes—
2020C2×C4C22×#4112yes—
2021C2×C4C22×#4112yes—
2022C2×C4C2×H(5,𝔽2)12yes—
2023C2×C4C2×H(5,𝔽2)12yes—
2024C2×C4C2×H(5,𝔽2)12yes—
2025C2×C4C2×H(5,𝔽2)12yes—
2026C2×C4#58512yes—
2027C22—22no—
2028C22—22no—
2029C22—22no—
2030C22—22no—
2031C22—22no—
2032C22—22no—
2033C22—24no—
2034C22—24no—
2035C22—22no—
2036C22—24no—
2037C22—24no—
2038C22—24no—
2039C22—22no—
2040C22—24no—
2041C22—22no—
2042C22—24no—
2043C22—24no—
2044C22—24no—
2045C22—42no—
2046C22—41no—
2047C22—42no—
2048C22—42no—
2049C22—42no—
2050C22—42no—
2051C22—42no—
2052C22—41no—
2053C22—42no—
2054C22—42no—
2055C22—42no—
2056C22—42no—
2057C22—42no—
2058C22—41no—
2059C22—42no—
2060C22—41no—
2061C22—42no—
2062C22—44no—
2063C22—41no—
2064C22—42no—
2065C22—41no—
2066C22—44no—
2067C22—42no—
2068C22—41no—
2069C22—44no—
2070C22—42no—
2071C22—41no—
2072C22—44no—
2073C22—42no—
2074C22—44no—
2075C22—41no—
2076C22—41no—
2077C22—42no—
2078C22—44no—
2079C22—41no—
2080C22—44no—
2081C22—42no—
2082C22—88no—
2083C22—816no—
2084C22—168no—
2085C22—1616no—
2086C22C2×#54614yes—
2087C22C24×D411yescharacteristic
2088C22C23×#4111yescharacteristic
2089C22C22×H(5,𝔽2)11yescharacteristic
2090C22C22×H(5,𝔽2)11yescharacteristic
2091C22C2×#58511yescharacteristic
2092C22H(7,𝔽2)11yescharacteristic
2093C222−1+611yescharacteristic
2094C4—22no—
2095C4—28no—
2096C4—22no—
2097C4—22no—
2098C4—24no—
2099C4—24no—
2100C4—24no—
2101C4—42no—
2102C4—41no—
2103C4—42no—
2104C4—44no—
2105C4—42no—
2106C4—41no—
2107C4—42no—
2108C4—44no—
2109C4—41no—
2110C4—42no—
2111C4—42no—
2112C4—41no—
2113C4—41no—
2114C4—42no—
2115C4—42no—
2116C4—41no—
2117C4—41no—
2118C4—42no—
2119C4C2×#54614yes—
2120C4C2×#54614yes—
2121C2—24no—
2122C2—44no—
2123C2—42no—
2124C2—44no—
2125C2—44no—
2126C2—82no—
2127C2—81no—
2128C2—84no—
2129C2C22×#54611yescharacteristic
2130C2#6280011yescharacteristic
2131C2#6285711yescharacteristic
2132C2#6291411yescharacteristic
2133C2#6293011yescharacteristic
2134C2D4×H(5,𝔽2)11yescharacteristic
2135C2#6300211yescharacteristic
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×#3511C2semidirect
2. C2×#3488C2semidirect
3. #59810C2semidirect
4. #59808C2semidirect
5. #59755C2semidirect
6. #59650C2semidirect
7. #59406C2semidirect
8. #59131C2semidirect
9. #45417C2semidirect
10. #45404C2semidirect
11. #44930C2semidirect
12. #44929C2semidirect
13. #43102C2semidirect
14. #43101C2semidirect
15. #39438C2semidirect
16. #39433C2semidirect
17. #37782C2semidirect
18. #37781C2semidirect
19. #37669C2semidirect
20. #37664C2semidirect
21. #36148C2semidirect
22. #36123C2semidirect
23. #35574C2semidirect
24. #35563C2semidirect
25. #35516C2semidirect
26. #35513C2semidirect
27. #35256C2semidirect
28. #35254C2semidirect
29. #35251C2semidirect
30. C2×#2491C2semidirect
31. #34743C2semidirect
32. #34274C2semidirect
33. #34258C2semidirect
34. C22⋊C4×#41C2semidirect
35. C4×#537C2semidirect
40. C2×#556C22semidirect
41. C2×#555C22semidirect
42. C2×#554C22semidirect
43. C2×#553C22semidirect
46. C2×#548C22semidirect
47. C2×#547C22semidirect
50. C2×#546C22semidirect
53. C2×#542C22semidirect
54. C2×#542C22semidirect
58. C2×#537C22semidirect
61. C2×#535C22semidirect
62. C2×#533C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
65. C22×C4⋊Q8C22semidirect
66. C22×#124C22semidirect
69. C2×#525C22semidirect
73. C2×#520C22semidirect
74. C2×#520C22semidirect
75. C2×C4×#41C22semidirect
76. C2×C4×#41C22semidirect
77. C2×C4×#41C22semidirect
78. #2856C22semidirect
79. #2854C22semidirect
80. #2854C22semidirect
81. #2850C22semidirect
82. #2848C22semidirect
83. #2847C22semidirect
84. #2714C22semidirect
85. #2712C22semidirect
86. #2711C22semidirect
87. #2709C22semidirect
88. #2705C22semidirect
89. #2704C22semidirect
90. #2701C22semidirect
91. #2700C22semidirect
92. #2696C22semidirect
93. #2692C22semidirect
94. #2691C22semidirect
95. #2686C22semidirect
96. #2685C22semidirect
97. #2684C22semidirect
98. #2681C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2673C22semidirect
103. #2672C22semidirect
104. #2672C22semidirect
105. #2671C22semidirect
106. #2670C22semidirect
107. #2670C22semidirect
108. #2624C22semidirect
109. #2624C22semidirect
110. #2620C22semidirect
111. #2619C22semidirect
112. #2616C22semidirect
113. #2615C22semidirect
114. #2579C22semidirect
115. #2560C22semidirect
116. #2558C22semidirect
117. #2555C22semidirect
118. #2555C22semidirect
119. #2544C22semidirect
120. #2543C22semidirect
121. #2540C22semidirect
122. #2534C22semidirect
123. #2534C22semidirect
124. #2521C22semidirect
125. #2491C22semidirect
126. #2491C22semidirect
127. #2491C22semidirect
128. #2491C22semidirect
129. #2491C22semidirect
130. #2491C22semidirect
131. #2491C22semidirect
132. #2491C22semidirect
133. #2487C22semidirect
134. #2486C22semidirect
135. #2485C22semidirect
136. #2485C22semidirect
137. #2480C22semidirect
138. #2476C22semidirect
139. #2476C22semidirect
140. #2472C22semidirect
141. #2472C22semidirect
142. #2472C22semidirect
143. #2467C22semidirect
144. #2465C22semidirect
145. #2464C22semidirect
146. #2464C22semidirect
147. #2460C22semidirect
148. #2459C22semidirect
149. #2459C22semidirect
150. #2458C22semidirect
151. #2457C22semidirect
152. #2452C22semidirect
153. #2452C22semidirect
154. #2451C22semidirect
155. #2451C22semidirect
156. #2450C22semidirect
157. #2448C22semidirect
158. #2448C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2440C22semidirect
162. #2440C22semidirect
163. #2439C22semidirect
164. #2439C22semidirect
165. #2437C22semidirect
166. #2435C22semidirect
167. #2435C22semidirect
168. #2433C22semidirect
169. #2432C22semidirect
170. #2431C22semidirect
171. #2431C22semidirect
172. #2430C22semidirect
173. #2430C22semidirect
174. #2429C22semidirect
175. #2429C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2428C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2426C22semidirect
186. #2426C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2423C22semidirect
200. #2422C22semidirect
201. #2421C22semidirect
202. #2420C22semidirect
203. #2419C22semidirect
204. #2418C22semidirect
205. #2418C22semidirect
206. #2418C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2411C22semidirect
212. #2410C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2409C22semidirect
217. #2409C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2405C22semidirect
227. #2404C22semidirect
228. #2392C22semidirect
229. #2392C22semidirect
230. C2×#394C22semidirect
231. C2×#393C22semidirect
232. #2367C22semidirect
233. #2363C22semidirect
234. #2363C22semidirect
235. #2362C22semidirect
236. #2362C22semidirect
237. #2361C22semidirect
238. #2361C22semidirect
239. #2360C22semidirect
240. #2360C22semidirect
241. #2359C22semidirect
242. #2358C22semidirect
243. #2341C22semidirect
244. #2341C22semidirect
245. #2341C22semidirect
246. #2341C22semidirect
247. Q8×C22⋊C4C22semidirect
248. Q8×C22⋊C4C22semidirect
249. #2339C22semidirect
250. #2339C22semidirect
251. #2339C22semidirect
252. #2339C22semidirect
253. D4×C22⋊C4C22semidirect
254. D4×C22⋊C4C22semidirect
255. D4×C22⋊C4C22semidirect
256. D4×C22⋊C4C22semidirect
257. D4×C22⋊C4C22semidirect
258. D4×C22⋊C4C22semidirect
259. D4×C22⋊C4C22semidirect
260. D4×C22⋊C4C22semidirect
261. #2325C22semidirect
262. #2325C22semidirect
263. #2324C22semidirect
264. #2324C22semidirect
265. #2323C22semidirect
266. #2323C22semidirect
267. #2317C22semidirect
268. #2316C22semidirect
269. #2316C22semidirect
271. #2311C22semidirect
272. #2311C22semidirect
273. #2311C22semidirect
274. #2309C22semidirect
275. #2309C22semidirect
276. C4×C22⋊Q8C22semidirect
277. C4×C22⋊Q8C22semidirect
278. C4×#121C22semidirect
279. C4×#121C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
286. #2297C22semidirect
287. #2297C22semidirect
288. #2297C22semidirect
289. #2297C22semidirect
290. #2296C22semidirect
291. C2×#390C22semidirect
292. C2×#390C22semidirect
293. C2×#390C22semidirect
294. C2×#388C22semidirect
295. #2280C22semidirect
296. #2280C22semidirect
297. C2×#380C22semidirect
298. C2×C4×C4⋊C4C22semidirect
299. C2×C4×C22⋊C4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
348. #537D4semidirect
894. C2×#41#41semidirect
1770. C22⋊C4H(5,𝔽2)semidirect
2013. C2×C4#546semidirect

Maximal subgroups

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

subgroupindex
C2×#35112
C2×#34882
#598102
#598082
#597552
#596502
#594062
#591312
#454172
#454042
#449302
#449292
#431022
#431012
#394382
#394332
#377822
#377812
#376692
#376642
#361482
#361232
#355742
#355632
#355162
#355132
#352562
#352542
#352512
C2×#24912
#347432
#342742
#342582
C22⋊C4×#412
C4×#5372