Finite Group Databasebeta

← #7689497

Subgroups — #7689497

Order 512.

9046 conjugacy classes of subgroups.

The subgroup lattice has 2074 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3498C211yesmaximal, characteristic, complemented
2C2×#3481C211yesmaximal, characteristic, complemented
3#59411C211yesmaximal, characteristic, complemented
4#59408C212yesmaximal, complemented
5#59143C211yesmaximal, characteristic, complemented
6#59110C212yesmaximal, complemented
7#59101C212yesmaximal, complemented
8#59039C211yesmaximal, characteristic, complemented
9#59030C212yesmaximal, complemented
10#58994C214yesmaximal, complemented
11#45386C212yesmaximal, complemented
12#44899C212yesmaximal, complemented
13#43905C214yesmaximal, complemented
14#43094C214yesmaximal, complemented
15#39470C211yesmaximal, characteristic, complemented
16#39464C212yesmaximal, complemented
17#38952C211yesmaximal, characteristic, complemented
18#38949C212yesmaximal, complemented
19#37786C212yesmaximal, complemented
20#37777C214yesmaximal, complemented
21#36410C211yesmaximal, characteristic, complemented
22#36289C211yesmaximal, characteristic, complemented
23#36275C211yesmaximal, characteristic, complemented
24#36258C211yesmaximal, characteristic, complemented
25#36236C212yesmaximal, complemented
26#36139C212yesmaximal, complemented
27#36121C211yesmaximal, characteristic, complemented
28D4×#123C212yesmaximal, complemented
29#35761C212yesmaximal, complemented
30#35750C212yesmaximal, complemented
31#34715C211yesmaximal, characteristic, complemented
32C2×#2445C212yesmaximal, complemented
33#34310C211yesmaximal, characteristic, complemented
34#34256C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2212yes—
37#3498—216no—
38#3481—216no—
39C2×#559C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic, complemented
41C2×#554C2211yescharacteristic, complemented
42C2×#553C2212yescomplemented
43C2×#553C2212yescomplemented
44C2×#551C2214yescomplemented
45C2×#550C2211yescharacteristic
46C2×#550C2211yescharacteristic
47C2×#550C2212yes—
48C2×#547C2211yescharacteristic
49C2×#546C2212yescomplemented
50C2×#546C2212yescomplemented
51C2×#546C2212yescomplemented
52C2×#546C2212yescomplemented
53C2×D42C2212yes—
54C2×D42C2212yes—
55C2×D42C2214yes—
56C2×D42C2211yescharacteristic
57C2×D42C2212yes—
58C2×D42C2211yescharacteristic
59C2×#535C2212yes—
60C2×#535C2214yes—
61C2×#532C2212yes—
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic, complemented
64C22×#127C2211yescharacteristic
65C22×#127C2212yes—
66C2×#529C2212yescomplemented
67C2×#529C2212yescomplemented
68C2×#525C2214yescomplemented
69C22×#123C2214yescomplemented
70C2×#518C2212yescomplemented
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic, complemented
73C2×C4×#41C2211yescharacteristic, complemented
74C22×C4×D4C2212yescomplemented
75C22×C4×D4C2212yescomplemented
76#2858C2211yescharacteristic, complemented
77#2857C2211yescharacteristic, complemented
78#2856C2211yescharacteristic, complemented
79#2855C2212yescomplemented
80#2854C2212yescomplemented
81#2854C2212yescomplemented
82#2850C2212yescomplemented
83#2849C2214yescomplemented
84#2715C2214yescomplemented
85#2710C2214yescomplemented
86#2709C2214yescomplemented
87#2709C2214yescomplemented
88#2709C2214yescomplemented
89#2703C2214yescomplemented
90#2701C2214yescomplemented
91#2701C2214yescomplemented
92#2700C2214yescomplemented
93#2699C2214yescomplemented
94#2697C2214yescomplemented
95#2691C2214yescomplemented
96#2686C2214yescomplemented
97#2685C2214yescomplemented
98#2685C2214yescomplemented
99#2681C2214yescomplemented
100#2678C2214yescomplemented
101#2673C2214yescomplemented
102#2673C2214yescomplemented
103#2672C2214yescomplemented
104#2672C2214yescomplemented
105#2620C2212yescomplemented
106#2617C2214yescomplemented
107#2616C2212yescomplemented
108#2613C2214yescomplemented
109#2582C2211yescharacteristic, complemented
110#2567C2211yescharacteristic, complemented
111#2563C2211yescharacteristic, complemented
112#2559C2214yescomplemented
113#2550C2212yescomplemented
114#2548C2211yescharacteristic, complemented
115#2548C2211yescharacteristic, complemented
116#2544C2212yescomplemented
117#2544C2212yescomplemented
118#2544C2212yescomplemented
119#2544C2212yescomplemented
120#2539C2214yescomplemented
121#2538C2211yescharacteristic, complemented
122#2537C2212yescomplemented
123#2534C2214yescomplemented
124#2521C2214yescomplemented
125#2504C2212yescomplemented
126#2501C2212yescomplemented
127#2490C2212yescomplemented
128#2490C2212yescomplemented
129#2490C2212yescomplemented
130#2487C2212yescomplemented
131#2486C2212yescomplemented
132#2476C2214yescomplemented
133#2476C2212yescomplemented
134#2476C2214yescomplemented
135#2474C2214yescomplemented
136#2474C2212yescomplemented
137#2472C2214yescomplemented
138#2472C2214yescomplemented
139#2468C2214yescomplemented
140#2466C2214yescomplemented
141#2464C2214yescomplemented
142#2459C2212yescomplemented
143#2456C2212yescomplemented
144#2454C2212yescomplemented
145#2454C2212yescomplemented
146#2453C2212yescomplemented
147#2451C2211yescharacteristic, complemented
148#2449C2214yescomplemented
149#2447C2212yescomplemented
150#2445C2212yescomplemented
151#2445C2212yescomplemented
152#2445C2212yescomplemented
153#2445C2212yescomplemented
154#2445C2212yescomplemented
155#2445C2212yescomplemented
156#2445C2212yescomplemented
157#2445C2212yescomplemented
158#2445C2212yescomplemented
159#2445C2214yescomplemented
160#2445C2214yescomplemented
161#2445C2214yescomplemented
162#2445C2211yescharacteristic, complemented
163#2445C2214yescomplemented
164#2445C2212yescomplemented
165#2444C2214yescomplemented
166#2444C2214yescomplemented
167#2443C2214yescomplemented
168#2443C2214yescomplemented
169#2441C2212yescomplemented
170#2439C2211yescharacteristic, complemented
171#2438C2214yescomplemented
172#2435C2212yescomplemented
173#2435C2212yescomplemented
174#2435C2212yescomplemented
175#2435C2212yescomplemented
176#2432C2212yescomplemented
177#2432C2212yescomplemented
178#2431C2212yescomplemented
179#2431C2212yescomplemented
180#2431C2211yescharacteristic, complemented
181#2430C2214yescomplemented
182#2430C2214yescomplemented
183#2428C2212yescomplemented
184#2428C2212yescomplemented
185#2428C2212yescomplemented
186#2427C2212yescomplemented
187#2426C2211yescharacteristic, complemented
188#2426C2212yescomplemented
189#2425C2214yescomplemented
190#2425C2214yescomplemented
191#2425C2214yescomplemented
192#2424C2214yescomplemented
193#2424C2214yescomplemented
194#2422C2212yescomplemented
195#2422C2212yescomplemented
196#2420C2212yescomplemented
197#2420C2212yescomplemented
198#2420C2211yescharacteristic, complemented
199#2418C2214yescomplemented
200#2418C2214yescomplemented
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2417C2212yescomplemented
204#2416C2212yescomplemented
205#2416C2214yescomplemented
206#2415C2212yescomplemented
207#2414C2211yescharacteristic, complemented
208#2414C2212yescomplemented
209#2414C2212yescomplemented
210#2412C2214yescomplemented
211#2412C2214yescomplemented
212#2411C2214yescomplemented
213#2411C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2408C2212yescomplemented
218#2408C2212yescomplemented
219#2408C2212yescomplemented
220#2407C2211yescharacteristic, complemented
221#2407C2212yescomplemented
222#2407C2212yescomplemented
223#2406C2214yescomplemented
224#2405C2214yescomplemented
225#2405C2214yescomplemented
226#2405C2214yescomplemented
227#2405C2214yescomplemented
228#2392C2212yescomplemented
229#2388C2212yescomplemented
230C2×#394C2214yescomplemented
231C2×#394C2214yescomplemented
232#2367C2212yescomplemented
233#2366C2211yescharacteristic, complemented
234#2365C2211yescharacteristic, complemented
235#2363C2212yescomplemented
236#2363C2212yescomplemented
237#2362C2211yescharacteristic, complemented
238#2362C2211yescharacteristic, complemented
239#2361C2212yescomplemented
240#2361C2212yescomplemented
241#2359C2214yescomplemented
242#2359C2212yescomplemented
243#2359C2212yescomplemented
244#2358C2214yescomplemented
245#2354C2211yescharacteristic, complemented
246#2354C2211yescharacteristic, complemented
247#2349C2212yescomplemented
248#2349C2212yescomplemented
249D4×C4⋊C4C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic, complemented
251D4×C4⋊C4C2212yescomplemented
252#2344C2212yescomplemented
253#2339C2211yescharacteristic
254#2339C2212yes—
255#2339C2212yescomplemented
256#2339C2214yescomplemented
257#2339C2211yescharacteristic, complemented
258#2339C2214yescomplemented
259#2339C2212yescomplemented
260D4×C22⋊C4C2212yescomplemented
261D4×C22⋊C4C2212yescomplemented
262D4×C22⋊C4C2212yescomplemented
263D4×C22⋊C4C2212yescomplemented
264D4×C22⋊C4C2214yescomplemented
265D4×C22⋊C4C2212yescomplemented
266D4×C22⋊C4C2212yescomplemented
267D4×C22⋊C4C2214yescomplemented
268D4×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2212yescomplemented
270D4×C22⋊C4C2212yescomplemented
271#2324C2212yescomplemented
272#2321C2214yescomplemented
273#2311C2212yescomplemented
274#2311C2212yescomplemented
275#2308C2214yescomplemented
276#2308C2214yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#123C2212yescomplemented
285C4×#123C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289#2297C2212yescomplemented
290#2297C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292C2×#390C2212yescomplemented
293C2×#390C2212yescomplemented
294C2×#390C2212yescomplemented
295C2×#389C2212yescomplemented
296C2×#386C2214yescomplemented
297C2×#386C2214yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2212yescomplemented
301C2×H(5,𝔽2)—216no—
302C2×H(5,𝔽2)—216no—
303C2×H(5,𝔽2)—48no—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2314yes—
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C22×#41C2312yes—
312C23×D4C2312yes—
313C23×D4C2314yes—
314C23×D4C2314yes—
315C23×D4C2314yes—
316C23×D4C2312yes—
317C23×D4C2312yes—
318C23×D4C2312yes—
319C23×D4C2312yes—
320C23×D4C2314yes—
321C23×D4C2312yes—
322C23×D4C2312yes—
323C24×C4C2314yes—
324#559—28no—
325#554—28no—
326#554—28no—
327#553—216no—
328#553—216no—
329#551—232no—
330#550—28no—
331#550—216no—
332#550—28no—
333#547—28no—
334#546—216no—
335#546—216no—
336#546—48no—
337#546—48no—
338D42—216no—
339D42—216no—
340D42—216no—
341D42—232no—
342D42—28no—
343D42D4116yescomplemented
344#535—216no—
345#535—232no—
346#532—28no—
347#532—216no—
348#532—28no—
349C2×C4⋊Q8C2311yescharacteristic
350C2×C4⋊Q8C2311yescharacteristic
351C2×C4⋊Q8C2311yescharacteristic
352C2×#127—216no—
353C2×#127—28no—
354C2×#127C2311yescharacteristic
355C2×#127C2312yes—
356C2×#127C2311yescharacteristic
357C2×#127C2314yes—
358C2×#127C2314yes—
359C2×#127C2312yes—
360C2×#127C2312yes—
361C2×#127C2312yes—
362C2×#127C2312yes—
363C2×#127C2311yescharacteristic
364#529—216no—
365#529—216no—
366C2×#126C2314yes—
367C2×#126C2314yes—
368C2×#125C2312yes—
369C2×#125C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2314yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380#525—232no—
381C2×#123—416no—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2311yescharacteristic
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442#518—48no—
443C4×#41—28no—
444C4×#41—28no—
445C4×#41—28no—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×D4—216no—
453C2×C4×D4—216no—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2314yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2314yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2314yes—
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2312yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2314yes—
509C22×C22⋊C4C2314yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2314yes—
520C22×C42C2312yes—
521C22×C42C2312yes—
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525C22×C42C2312yes—
526#400C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#398C2314yes—
531#398C2312yes—
532#398C2314yes—
533#398C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2312yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2312yes—
545#396C2312yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2312yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2312yes—
564#394C2312yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2312yes—
578#394C2312yes—
579#394C2312yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#393C2314yes—
593#393C2312yes—
594#392C2312yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2312yes—
601#392C2312yes—
602#392C2312yes—
603#392C2314yes—
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2314yes—
608#391C2312yes—
609#391C2312yes—
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2312yes—
613#391C2312yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2314yes—
642#390C2312yes—
643#390C2314yes—
644#390C2311yescharacteristic
645#390C2312yes—
646#390C2314yes—
647#390C2314yes—
648#390C2311yescharacteristic
649#390C2312yes—
650#390C2311yescharacteristic
651#390C2314yes—
652#390C2314yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2311yescharacteristic
667#389C2314yes—
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2314yes—
671#389C2314yes—
672#389C2311yescharacteristic
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#388C2314yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2312yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2312yes—
752#386C2314yes—
753#386C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2312yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2312yes—
770#385C2314yes—
771#385C2312yes—
772#384C2311yescharacteristic
773#384C2311yescharacteristic
774#384C2312yes—
775#382C2312yes—
776#382C2311yescharacteristic
777#381C2312yes—
778#381C2314yes—
779#381C2314yes—
780#381C2314yes—
781#381C2312yes—
782#381C2314yes—
783#381C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2314yes—
800#380C2311yescharacteristic
801#379C2314yes—
802#379C2314yes—
803#379C2314yes—
804#379C2314yes—
805#379C2314yes—
806#379C2314yes—
807#379C2314yes—
808#379C2314yes—
809#379C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2312yes—
851C43C2311yescharacteristic
852C25C2414yes—
853C25C2414yes—
854C25C2414yes—
855H(5,𝔽2)—4128no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—216no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—28no—
870C2×#41—216no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—48no—
874C2×#41—42no—
875C2×#41—42no—
876C2×#41—44no—
877C2×#41—44no—
878C2×#41—82no—
879C2×#41#4118yescomplemented
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2411yescharacteristic
884C22×Q8C2412yes—
885C22×D4—28no—
886C22×D4—28no—
887C22×D4—216no—
888C22×D4—216no—
889C22×D4—216no—
890C22×D4—28no—
891C22×D4—216no—
892C22×D4—28no—
893C22×D4—216no—
894C22×D4—216no—
895C22×D4—28no—
896C22×D4—28no—
897C22×D4—28no—
898C22×D4—28no—
899C22×D4—28no—
900C22×D4—216no—
901C22×D4—28no—
902C22×D4—44no—
903C22×D4—44no—
904C22×D4—44no—
905C22×D4—48no—
906C22×D4—44no—
907C22×D4—44no—
908C22×D4—44no—
909C22×D4—44no—
910C22×D4—44no—
911C22×D4—48no—
912C22×D4—48no—
913C22×D4—48no—
914C22×D4—82no—
915C22×D4—84no—
916C22×D4C2×D4116yes—
917C22×D4C2×D4116yes—
918C22×D4C2412yes—
919C22×D4C2411yescharacteristic
920C22×D4C2412yes—
921C22×D4C2414yes—
922C22×D4C2412yes—
923C22×D4C2411yescharacteristic
924C22×D4C2414yes—
925C22×D4C2412yes—
926C22×D4C2412yes—
927C22×D4C2412yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2412yes—
931C22×D4C2414yes—
932C22×D4C2412yes—
933C22×D4C2414yes—
934C22×D4C2412yes—
935C22×D4C2411yescharacteristic
936C22×D4C2412yes—
937C22×D4C2412yes—
938C22×D4C2414yes—
939C22×D4C2414yes—
940C22×D4C2412yes—
941C22×D4C2414yes—
942C22×D4C2414yes—
943C22×D4C2414yes—
944C22×D4C2412yes—
945C22×D4C2414yes—
946C22×D4C2414yes—
947C22×D4C2412yes—
948C22×D4C2411yescharacteristic
949C23×C4—216no—
950C23×C4—48no—
951C23×C4—84no—
952C23×C4C2412yes—
953C23×C4C2411yescharacteristic
954C23×C4C2411yescharacteristic
955C23×C4C2411yescharacteristic
956C23×C4C2412yes—
957C23×C4C2412yes—
958C23×C4C2412yes—
959C23×C4C2414yes—
960C23×C4C2412yes—
961C23×C4C2411yescharacteristic
962C23×C4C2412yes—
963C23×C4C2411yescharacteristic
964C23×C4C2414yes—
965C23×C4C2414yes—
966C23×C4C2412yes—
967C23×C4C2412yes—
968C23×C4C2412yes—
969C23×C4C2411yescharacteristic
970C23×C4C2414yes—
971C23×C4C2412yes—
972C23×C4C2414yes—
973C23×C4C2412yes—
974C23×C4C2414yes—
975C23×C4C2414yes—
976C23×C4C2414yes—
977C23×C4C2414yes—
978C4⋊Q8—24no—
979C4⋊Q8—24no—
980C4⋊Q8—24no—
981#127—24no—
982#127—28no—
983#127—216no—
984#127—28no—
985#127—216no—
986#127—28no—
987#127—28no—
988#127—28no—
989#127—24no—
990#127C2×D418yes—
991#126—216no—
992#126—216no—
993#125—28no—
994#125—28no—
995#124—28no—
996#124—28no—
997#124—28no—
998#124—28no—
999#124—216no—
1000#124—44no—
1001#124—44no—
1002#124—42no—
1003#124—44no—
1004#124—82no—
1005#123—216no—
1006#123—216no—
1007#123—216no—
1008#123—28no—
1009#123—28no—
1010#123—28no—
1011#123—216no—
1012#123—216no—
1013#123—48no—
1014#123—48no—
1015#123—48no—
1016#123—48no—
1017#123—48no—
1018#123—48no—
1019#123—48no—
1020#123—84no—
1021C22⋊Q8—24no—
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—24no—
1025C22⋊Q8—216no—
1026C22⋊Q8—216no—
1027C22⋊Q8—44no—
1028C22⋊Q8—42no—
1029C22⋊Q8—44no—
1030#121—216no—
1031#121—216no—
1032#121—24no—
1033#121—216no—
1034#121—28no—
1035#121—28no—
1036#121—28no—
1037#121—216no—
1038#121—216no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—24no—
1043#121—28no—
1044#121—28no—
1045#121—216no—
1046#121—216no—
1047#121—44no—
1048#121—48no—
1049#121—44no—
1050#121—42no—
1051#121—44no—
1052#121—48no—
1053#121—84no—
1054#121C2×D4116yes—
1055#121C2×D4116yes—
1056#120—216no—
1057#120—216no—
1058#120—216no—
1059#120—216no—
1060#120—216no—
1061#120—216no—
1062#120—48no—
1063#120—48no—
1064#120C2×D4132yes—
1065C4×Q8—24no—
1066C4×Q8—24no—
1067C4×Q8—24no—
1068C4×Q8—24no—
1069C4×Q8—24no—
1070C4×Q8—24no—
1071C4×D4—24no—
1072C4×D4—24no—
1073C4×D4—216no—
1074C4×D4—216no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—216no—
1080C4×D4—216no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—24no—
1084C4×D4—28no—
1085C4×D4—24no—
1086C4×D4—24no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—28no—
1092C4×D4—24no—
1093C4×D4—28no—
1094C4×D4—24no—
1095C4×D4—28no—
1096C4×D4—28no—
1097C4×D4—28no—
1098C4×D4—216no—
1099C4×D4—24no—
1100C4×D4—44no—
1101C4×D4—44no—
1102C4×D4—44no—
1103C4×D4—44no—
1104C4×D4—44no—
1105C4×D4—42no—
1106C4×D4—44no—
1107C4×D4—48no—
1108C4×D4—48no—
1109C4×D4C2×D418yes—
1110C4×D4C2×D418yes—
1111#117—24no—
1112#117—24no—
1113#117—24no—
1114#117—28no—
1115#117—28no—
1116#117—28no—
1117#117—216no—
1118#117—44no—
1119#117—44no—
1120C2×C4⋊C4—28no—
1121C2×C4⋊C4—28no—
1122C2×C4⋊C4—28no—
1123C2×C4⋊C4—28no—
1124C2×C4⋊C4—44no—
1125C2×C4⋊C4—48no—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2411yescharacteristic
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2411yescharacteristic
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2411yescharacteristic
1172C2×C4⋊C4C2411yescharacteristic
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C22⋊C4—216no—
1175C2×C22⋊C4—216no—
1176C2×C22⋊C4—48no—
1177C2×C22⋊C4—48no—
1178C2×C22⋊C4—48no—
1179C2×C22⋊C4—48no—
1180C2×C22⋊C4—48no—
1181C2×C22⋊C4—48no—
1182C2×C22⋊C4—48no—
1183C2×C22⋊C4—84no—
1184C2×C22⋊C4—84no—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2411yescharacteristic
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2411yescharacteristic
1245C2×C22⋊C4C2411yescharacteristic
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2414yes—
1262C2×C42—28no—
1263C2×C42—28no—
1264C2×C42—28no—
1265C2×C42—24no—
1266C2×C42—24no—
1267C2×C42—44no—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2412yes—
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279C2×C42C2411yescharacteristic
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285C2×C42C2411yescharacteristic
1286C2×C42C2411yescharacteristic
1287C2×C42C2412yes—
1288C2×C42C2411yescharacteristic
1289C2×C42C2411yescharacteristic
1290C2×C42C2414yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2412yes—
1293C2×C42C2412yes—
1294C2×C42C2411yescharacteristic
1295#95C2412yes—
1296#95C2411yescharacteristic
1297#95C2411yescharacteristic
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2411yescharacteristic
1316#95C2411yescharacteristic
1317#95C2411yescharacteristic
1318#95C2411yescharacteristic
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2414yes—
1325#95C2412yes—
1326#95C2414yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2412yes—
1335#95C2414yes—
1336#95C2412yes—
1337#95C2412yes—
1338#95C2414yes—
1339#95C2414yes—
1340#95C2414yes—
1341C24—28no—
1342C24—28no—
1343C24—28no—
1344C24—28no—
1345C24—28no—
1346C24—28no—
1347C24—28no—
1348C24—44no—
1349C24—44no—
1350C24—44no—
1351C24—44no—
1352C24—44no—
1353C24—44no—
1354C24—44no—
1355C24—44no—
1356C24—44no—
1357C24—44no—
1358C24—44no—
1359C24—44no—
1360C24—44no—
1361C24C22×D4116yes—
1362C24C2512yes—
1363C24C2514yes—
1364C24C2511yescharacteristic
1365C24C2512yes—
1366C24C2514yes—
1367C24C2511yescharacteristic
1368C24C2512yes—
1369#41—232no—
1370#41—432no—
1371#41—464no—
1372#41—432no—
1373#41—432no—
1374#41—416no—
1375#41—416no—
1376#41—816no—
1377C2×Q8—22no—
1378C2×Q8—22no—
1379C2×Q8—22no—
1380C2×Q8—24no—
1381C2×Q8—24no—
1382C2×Q8—22no—
1383C2×Q8—24no—
1384C2×Q8—22no—
1385C2×Q8—22no—
1386C2×Q8—22no—
1387C2×Q8—22no—
1388C2×Q8—42no—
1389C2×Q8—42no—
1390C2×Q8—42no—
1391C2×Q8C2×#4114yes—
1392C2×D4—24no—
1393C2×D4—28no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—264no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—28no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—28no—
1403C2×D4—28no—
1404C2×D4—28no—
1405C2×D4—28no—
1406C2×D4—24no—
1407C2×D4—22no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—28no—
1412C2×D4—24no—
1413C2×D4—28no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—28no—
1417C2×D4—28no—
1418C2×D4—24no—
1419C2×D4—22no—
1420C2×D4—24no—
1421C2×D4—24no—
1422C2×D4—28no—
1423C2×D4—24no—
1424C2×D4—24no—
1425C2×D4—28no—
1426C2×D4—28no—
1427C2×D4—24no—
1428C2×D4—28no—
1429C2×D4—24no—
1430C2×D4—24no—
1431C2×D4—22no—
1432C2×D4—28no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—22no—
1438C2×D4—22no—
1439C2×D4—22no—
1440C2×D4—24no—
1441C2×D4—24no—
1442C2×D4—22no—
1443C2×D4—432no—
1444C2×D4—432no—
1445C2×D4—42no—
1446C2×D4—41no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—42no—
1453C2×D4—44no—
1454C2×D4—44no—
1455C2×D4—42no—
1456C2×D4—44no—
1457C2×D4—42no—
1458C2×D4—42no—
1459C2×D4—42no—
1460C2×D4—464no—
1461C2×D4—42no—
1462C2×D4—44no—
1463C2×D4—42no—
1464C2×D4—42no—
1465C2×D4—42no—
1466C2×D4—44no—
1467C2×D4—44no—
1468C2×D4—44no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—42no—
1472C2×D4—44no—
1473C2×D4—44no—
1474C2×D4—44no—
1475C2×D4—44no—
1476C2×D4—44no—
1477C2×D4—44no—
1478C2×D4—44no—
1479C2×D4—464no—
1480C2×D4—464no—
1481C2×D4—432no—
1482C2×D4—816no—
1483C2×D4—816no—
1484C2×D4—816no—
1485C2×D4—832no—
1486C2×D4C22×D414yes—
1487C2×D4C22×D418yes—
1488C2×D4C22×D4116yes—
1489C2×D4C22×D418yes—
1490C2×D4C22×D4116yes—
1491C2×D4C22×D418yes—
1492C2×D4C22×D414yes—
1493C2×D4C2×#4118yes—
1494C2×D4C2×#4114yes—
1495C2×D4H(5,𝔽2)14yes—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—22no—
1499C22×C4—24no—
1500C22×C4—24no—
1501C22×C4—22no—
1502C22×C4—24no—
1503C22×C4—24no—
1504C22×C4—24no—
1505C22×C4—24no—
1506C22×C4—24no—
1507C22×C4—24no—
1508C22×C4—24no—
1509C22×C4—28no—
1510C22×C4—28no—
1511C22×C4—24no—
1512C22×C4—24no—
1513C22×C4—24no—
1514C22×C4—28no—
1515C22×C4—28no—
1516C22×C4—28no—
1517C22×C4—24no—
1518C22×C4—28no—
1519C22×C4—22no—
1520C22×C4—22no—
1521C22×C4—22no—
1522C22×C4—22no—
1523C22×C4—22no—
1524C22×C4—28no—
1525C22×C4—24no—
1526C22×C4—22no—
1527C22×C4—28no—
1528C22×C4—28no—
1529C22×C4—24no—
1530C22×C4—24no—
1531C22×C4—24no—
1532C22×C4—28no—
1533C22×C4—24no—
1534C22×C4—22no—
1535C22×C4—22no—
1536C22×C4—22no—
1537C22×C4—24no—
1538C22×C4—24no—
1539C22×C4—22no—
1540C22×C4—22no—
1541C22×C4—22no—
1542C22×C4—22no—
1543C22×C4—42no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—44no—
1547C22×C4—44no—
1548C22×C4—44no—
1549C22×C4—41no—
1550C22×C4—42no—
1551C22×C4—42no—
1552C22×C4—42no—
1553C22×C4—41no—
1554C22×C4—42no—
1555C22×C4—44no—
1556C22×C4—44no—
1557C22×C4—42no—
1558C22×C4—44no—
1559C22×C4—44no—
1560C22×C4—44no—
1561C22×C4—44no—
1562C22×C4—44no—
1563C22×C4—44no—
1564C22×C4—44no—
1565C22×C4—44no—
1566C22×C4—44no—
1567C22×C4—44no—
1568C22×C4—44no—
1569C22×C4—44no—
1570C22×C4—832no—
1571C22×C4C22×D418yes—
1572C22×C4C22×D418yes—
1573C22×C4C2×#4118yes—
1574C22×C4C2×#4114yes—
1575C22×C4C2511yescharacteristic
1576C22×C4C2512yes—
1577C22×C4C2512yes—
1578C22×C4C2511yescharacteristic
1579C22×C4C2512yes—
1580C22×C4C2511yescharacteristic
1581C22×C4C2511yescharacteristic
1582C22×C4C2511yescharacteristic
1583C22×C4C2512yes—
1584C22×C4C2512yes—
1585C22×C4C2514yes—
1586C22×C4C2512yes—
1587C22×C4C2512yes—
1588C22×C4C2512yes—
1589C22×C4C2512yes—
1590C22×C4C2514yes—
1591C22×C4C2511yescharacteristic
1592C22×C4C2512yes—
1593C22×C4C2512yes—
1594C22×C4C2511yescharacteristic
1595C22×C4C2512yes—
1596C22×C4C2511yescharacteristic
1597C22×C4C2512yes—
1598C22×C4C2511yescharacteristic
1599C22×C4C2511yescharacteristic
1600C22×C4C2511yescharacteristic
1601C22×C4C2511yescharacteristic
1602C22×C4C2511yescharacteristic
1603C4⋊C4—22no—
1604C4⋊C4—22no—
1605C4⋊C4—24no—
1606C4⋊C4—24no—
1607C4⋊C4—28no—
1608C4⋊C4—28no—
1609C4⋊C4—24no—
1610C4⋊C4—24no—
1611C4⋊C4—22no—
1612C4⋊C4—24no—
1613C4⋊C4—24no—
1614C4⋊C4—24no—
1615C4⋊C4—24no—
1616C4⋊C4—28no—
1617C4⋊C4—28no—
1618C4⋊C4—24no—
1619C4⋊C4—22no—
1620C4⋊C4—22no—
1621C4⋊C4—24no—
1622C4⋊C4—24no—
1623C4⋊C4—24no—
1624C4⋊C4—22no—
1625C4⋊C4—24no—
1626C4⋊C4—24no—
1627C4⋊C4—24no—
1628C4⋊C4—24no—
1629C4⋊C4—24no—
1630C4⋊C4—28no—
1631C4⋊C4—22no—
1632C4⋊C4—24no—
1633C4⋊C4—22no—
1634C4⋊C4—24no—
1635C4⋊C4—22no—
1636C4⋊C4—44no—
1637C4⋊C4—44no—
1638C4⋊C4—44no—
1639C4⋊C4—42no—
1640C4⋊C4—42no—
1641C4⋊C4—41no—
1642C4⋊C4—42no—
1643C4⋊C4—42no—
1644C4⋊C4—44no—
1645C4⋊C4—44no—
1646C4⋊C4—42no—
1647C4⋊C4—42no—
1648C4⋊C4C22×D414yes—
1649C4⋊C4C22×D414yes—
1650C4⋊C4H(5,𝔽2)14yescomplemented
1651C22⋊C4—24no—
1652C22⋊C4—24no—
1653C22⋊C4—28no—
1654C22⋊C4—28no—
1655C22⋊C4—28no—
1656C22⋊C4—28no—
1657C22⋊C4—28no—
1658C22⋊C4—28no—
1659C22⋊C4—24no—
1660C22⋊C4—28no—
1661C22⋊C4—28no—
1662C22⋊C4—24no—
1663C22⋊C4—24no—
1664C22⋊C4—22no—
1665C22⋊C4—24no—
1666C22⋊C4—24no—
1667C22⋊C4—28no—
1668C22⋊C4—24no—
1669C22⋊C4—24no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—28no—
1673C22⋊C4—28no—
1674C22⋊C4—24no—
1675C22⋊C4—22no—
1676C22⋊C4—24no—
1677C22⋊C4—22no—
1678C22⋊C4—28no—
1679C22⋊C4—24no—
1680C22⋊C4—24no—
1681C22⋊C4—24no—
1682C22⋊C4—28no—
1683C22⋊C4—28no—
1684C22⋊C4—22no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—44no—
1688C22⋊C4—42no—
1689C22⋊C4—44no—
1690C22⋊C4—44no—
1691C22⋊C4—44no—
1692C22⋊C4—44no—
1693C22⋊C4—44no—
1694C22⋊C4—44no—
1695C22⋊C4—44no—
1696C22⋊C4—44no—
1697C22⋊C4—44no—
1698C22⋊C4—44no—
1699C22⋊C4—44no—
1700C22⋊C4—44no—
1701C22⋊C4—44no—
1702C22⋊C4—42no—
1703C22⋊C4—44no—
1704C22⋊C4—42no—
1705C22⋊C4—42no—
1706C22⋊C4—44no—
1707C22⋊C4—44no—
1708C22⋊C4—44no—
1709C22⋊C4—41no—
1710C22⋊C4—41no—
1711C22⋊C4—44no—
1712C22⋊C4—44no—
1713C22⋊C4—42no—
1714C22⋊C4—44no—
1715C22⋊C4—44no—
1716C22⋊C4—42no—
1717C22⋊C4—42no—
1718C22⋊C4—42no—
1719C22⋊C4—42no—
1720C22⋊C4—44no—
1721C22⋊C4—44no—
1722C22⋊C4—44no—
1723C22⋊C4—42no—
1724C22⋊C4—42no—
1725C22⋊C4C22×D418yes—
1726C22⋊C4C22×D418yes—
1727C22⋊C4C22×D4116yes—
1728C42—22no—
1729C42—22no—
1730C42—22no—
1731C42—22no—
1732C42—24no—
1733C42—24no—
1734C42—24no—
1735C42—24no—
1736C42—24no—
1737C42—22no—
1738C42—24no—
1739C42—24no—
1740C42—24no—
1741C42—22no—
1742C42—24no—
1743C42—22no—
1744C42—22no—
1745C42—24no—
1746C42—22no—
1747C42—22no—
1748C42—24no—
1749C42—22no—
1750C42—42no—
1751C42—42no—
1752C42—44no—
1753C42—41no—
1754C42C22×D414yes—
1755C23—22no—
1756C23—22no—
1757C23—22no—
1758C23—22no—
1759C23—21no—
1760C23—22no—
1761C23—24no—
1762C23—21no—
1763C23—22no—
1764C23—24no—
1765C23—22no—
1766C23—24no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—24no—
1771C23—24no—
1772C23—22no—
1773C23—22no—
1774C23—21no—
1775C23—22no—
1776C23—24no—
1777C23—232no—
1778C23—21no—
1779C23—24no—
1780C23—22no—
1781C23—21no—
1782C23—22no—
1783C23—24no—
1784C23—22no—
1785C23—24no—
1786C23—21no—
1787C23—22no—
1788C23—24no—
1789C23—21no—
1790C23—22no—
1791C23—24no—
1792C23—21no—
1793C23—24no—
1794C23—22no—
1795C23—21no—
1796C23—24no—
1797C23—22no—
1798C23—21no—
1799C23—416no—
1800C23—416no—
1801C23—416no—
1802C23—416no—
1803C23—88no—
1804C23—88no—
1805C23—88no—
1806C23—88no—
1807C23—88no—
1808C23—88no—
1809C23—88no—
1810C23—88no—
1811C23—88no—
1812C23—88no—
1813C23—88no—
1814C23—88no—
1815C23—88no—
1816C23—88no—
1817C23—164no—
1818C23—164no—
1819C23C23×D418yes—
1820C23C23×D414yes—
1821C23C23×D414yes—
1822C23C22×#4112yes—
1823C23C22×#4114yes—
1824C23C2×H(5,𝔽2)14yes—
1825C23C2611yescharacteristic
1826Q8—28no—
1827Q8—48no—
1828Q8—44no—
1829Q8—44no—
1830Q8—84no—
1831D4—232no—
1832D4—216no—
1833D4—216no—
1834D4—28no—
1835D4—216no—
1836D4—416no—
1837D4—48no—
1838D4—44no—
1839D4—48no—
1840D4—416no—
1841D4—416no—
1842D4—416no—
1843D4—48no—
1844D4—48no—
1845D4—416no—
1846D4—48no—
1847D4—48no—
1848D4—416no—
1849D4—48no—
1850D4—48no—
1851D4—44no—
1852D4—48no—
1853D4—84no—
1854D4—88no—
1855D4—88no—
1856D4—88no—
1857D4—88no—
1858D4—88no—
1859D4—84no—
1860D4—164no—
1861D4#546116yescomplemented
1862C2×C4—21no—
1863C2×C4—21no—
1864C2×C4—21no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—22no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—22no—
1874C2×C4—22no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—216no—
1879C2×C4—216no—
1880C2×C4—28no—
1881C2×C4—216no—
1882C2×C4—21no—
1883C2×C4—21no—
1884C2×C4—22no—
1885C2×C4—22no—
1886C2×C4—22no—
1887C2×C4—21no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—22no—
1891C2×C4—24no—
1892C2×C4—21no—
1893C2×C4—22no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—21no—
1898C2×C4—22no—
1899C2×C4—21no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—22no—
1903C2×C4—24no—
1904C2×C4—22no—
1905C2×C4—24no—
1906C2×C4—24no—
1907C2×C4—22no—
1908C2×C4—22no—
1909C2×C4—21no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—21no—
1915C2×C4—22no—
1916C2×C4—22no—
1917C2×C4—21no—
1918C2×C4—21no—
1919C2×C4—21no—
1920C2×C4—22no—
1921C2×C4—22no—
1922C2×C4—21no—
1923C2×C4—22no—
1924C2×C4—24no—
1925C2×C4—22no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—21no—
1930C2×C4—22no—
1931C2×C4—22no—
1932C2×C4—22no—
1933C2×C4—22no—
1934C2×C4—24no—
1935C2×C4—22no—
1936C2×C4—416no—
1937C2×C4—44no—
1938C2×C4—44no—
1939C2×C4—48no—
1940C2×C4—48no—
1941C2×C4—48no—
1942C2×C4—416no—
1943C2×C4—416no—
1944C2×C4—48no—
1945C2×C4—48no—
1946C2×C4—48no—
1947C2×C4—48no—
1948C2×C4—44no—
1949C2×C4—44no—
1950C2×C4—44no—
1951C2×C4—88no—
1952C2×C4—84no—
1953C2×C4—88no—
1954C2×C4—88no—
1955C2×C4—88no—
1956C2×C4—164no—
1957C2×C4—164no—
1958C2×C4C23×D414yes—
1959C2×C4C23×D412yes—
1960C2×C4C23×D414yes—
1961C2×C4C23×D412yes—
1962C2×C4C23×D412yes—
1963C2×C4C22×#4114yes—
1964C2×C4C22×#4112yes—
1965C2×C4C22×#4112yes—
1966C2×C4C2×H(5,𝔽2)12yes—
1967C2×C4C2×H(5,𝔽2)12yes—
1968C2×C4C2×H(5,𝔽2)12yes—
1969C2×C4C2×H(5,𝔽2)12yes—
1970C2×C4#58512yes—
1971C2×C4#58512yes—
1972C22—24no—
1973C22—24no—
1974C22—24no—
1975C22—24no—
1976C22—24no—
1977C22—24no—
1978C22—24no—
1979C22—28no—
1980C22—22no—
1981C22—24no—
1982C22—28no—
1983C22—22no—
1984C22—22no—
1985C22—24no—
1986C22—28no—
1987C22—41no—
1988C22—42no—
1989C22—44no—
1990C22—44no—
1991C22—42no—
1992C22—41no—
1993C22—41no—
1994C22—42no—
1995C22—44no—
1996C22—44no—
1997C22—42no—
1998C22—41no—
1999C22—41no—
2000C22—44no—
2001C22—42no—
2002C22—41no—
2003C22—42no—
2004C22—44no—
2005C22—41no—
2006C22—44no—
2007C22—42no—
2008C22—41no—
2009C22—42no—
2010C22—44no—
2011C22—41no—
2012C22—42no—
2013C22—44no—
2014C22—41no—
2015C22—42no—
2016C22—44no—
2017C22—44no—
2018C22—42no—
2019C22—41no—
2020C22—832no—
2021C22—1616no—
2022C22—1616no—
2023C22C2×#54618yes—
2024C22C24×D411yescharacteristic
2025C22C23×#4111yescharacteristic
2026C22C22×H(5,𝔽2)11yescharacteristic
2027C22C22×H(5,𝔽2)11yescharacteristic
2028C22C2×#58511yescharacteristic
2029C22C2×#58511yescharacteristic
2030C22H(7,𝔽2)11yescharacteristic
2031C4—22no—
2032C4—22no—
2033C4—22no—
2034C4—24no—
2035C4—22no—
2036C4—22no—
2037C4—24no—
2038C4—24no—
2039C4—42no—
2040C4—42no—
2041C4—44no—
2042C4—42no—
2043C4—41no—
2044C4—42no—
2045C4—44no—
2046C4—41no—
2047C4—41no—
2048C4—42no—
2049C4—41no—
2050C4—42no—
2051C4—41no—
2052C4—42no—
2053C4—42no—
2054C4—41no—
2055C4—42no—
2056C4—42no—
2057C4C2×#54614yes—
2058C4#348514yes—
2059C2—28no—
2060C2—44no—
2061C2—48no—
2062C2—42no—
2063C2—81no—
2064C2—84no—
2065C2—82no—
2066C2C22×#54611yescharacteristic
2067C2C2×#348511yescharacteristic
2068C2#6280011yescharacteristic
2069C2#6292011yescharacteristic
2070C2D4×H(5,𝔽2)11yescharacteristic
2071C2#6301011yescharacteristic
2072C2#6301411yescharacteristic
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×#3498C2semidirect
2. C2×#3481C2semidirect
3. #59411C2semidirect
4. #59408C2semidirect
5. #59143C2semidirect
6. #59110C2semidirect
7. #59101C2semidirect
8. #59039C2semidirect
9. #59030C2semidirect
10. #58994C2semidirect
11. #45386C2semidirect
12. #44899C2semidirect
13. #43905C2semidirect
14. #43094C2semidirect
15. #39470C2semidirect
16. #39464C2semidirect
17. #38952C2semidirect
18. #38949C2semidirect
19. #37786C2semidirect
20. #37777C2semidirect
21. #36410C2semidirect
22. #36289C2semidirect
23. #36275C2semidirect
24. #36258C2semidirect
25. #36236C2semidirect
26. #36139C2semidirect
27. #36121C2semidirect
28. D4×#123C2semidirect
29. #35761C2semidirect
30. #35750C2semidirect
31. #34715C2semidirect
32. C2×#2445C2semidirect
33. #34310C2semidirect
34. #34256C2semidirect
35. C4×#547C2semidirect
39. C2×#559C22semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
42. C2×#553C22semidirect
43. C2×#553C22semidirect
44. C2×#551C22semidirect
49. C2×#546C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
63. C2×#532C22semidirect
66. C2×#529C22semidirect
67. C2×#529C22semidirect
68. C2×#525C22semidirect
69. C22×#123C22semidirect
70. C2×#518C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
76. #2858C22semidirect
77. #2857C22semidirect
78. #2856C22semidirect
79. #2855C22semidirect
80. #2854C22semidirect
81. #2854C22semidirect
82. #2850C22semidirect
83. #2849C22semidirect
84. #2715C22semidirect
85. #2710C22semidirect
86. #2709C22semidirect
87. #2709C22semidirect
88. #2709C22semidirect
89. #2703C22semidirect
90. #2701C22semidirect
91. #2701C22semidirect
92. #2700C22semidirect
93. #2699C22semidirect
94. #2697C22semidirect
95. #2691C22semidirect
96. #2686C22semidirect
97. #2685C22semidirect
98. #2685C22semidirect
99. #2681C22semidirect
100. #2678C22semidirect
101. #2673C22semidirect
102. #2673C22semidirect
103. #2672C22semidirect
104. #2672C22semidirect
105. #2620C22semidirect
106. #2617C22semidirect
107. #2616C22semidirect
108. #2613C22semidirect
109. #2582C22semidirect
110. #2567C22semidirect
111. #2563C22semidirect
112. #2559C22semidirect
113. #2550C22semidirect
114. #2548C22semidirect
115. #2548C22semidirect
116. #2544C22semidirect
117. #2544C22semidirect
118. #2544C22semidirect
119. #2544C22semidirect
120. #2539C22semidirect
121. #2538C22semidirect
122. #2537C22semidirect
123. #2534C22semidirect
124. #2521C22semidirect
125. #2504C22semidirect
126. #2501C22semidirect
127. #2490C22semidirect
128. #2490C22semidirect
129. #2490C22semidirect
130. #2487C22semidirect
131. #2486C22semidirect
132. #2476C22semidirect
133. #2476C22semidirect
134. #2476C22semidirect
135. #2474C22semidirect
136. #2474C22semidirect
137. #2472C22semidirect
138. #2472C22semidirect
139. #2468C22semidirect
140. #2466C22semidirect
141. #2464C22semidirect
142. #2459C22semidirect
143. #2456C22semidirect
144. #2454C22semidirect
145. #2454C22semidirect
146. #2453C22semidirect
147. #2451C22semidirect
148. #2449C22semidirect
149. #2447C22semidirect
150. #2445C22semidirect
151. #2445C22semidirect
152. #2445C22semidirect
153. #2445C22semidirect
154. #2445C22semidirect
155. #2445C22semidirect
156. #2445C22semidirect
157. #2445C22semidirect
158. #2445C22semidirect
159. #2445C22semidirect
160. #2445C22semidirect
161. #2445C22semidirect
162. #2445C22semidirect
163. #2445C22semidirect
164. #2445C22semidirect
165. #2444C22semidirect
166. #2444C22semidirect
167. #2443C22semidirect
168. #2443C22semidirect
169. #2441C22semidirect
170. #2439C22semidirect
171. #2438C22semidirect
172. #2435C22semidirect
173. #2435C22semidirect
174. #2435C22semidirect
175. #2435C22semidirect
176. #2432C22semidirect
177. #2432C22semidirect
178. #2431C22semidirect
179. #2431C22semidirect
180. #2431C22semidirect
181. #2430C22semidirect
182. #2430C22semidirect
183. #2428C22semidirect
184. #2428C22semidirect
185. #2428C22semidirect
186. #2427C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2425C22semidirect
190. #2425C22semidirect
191. #2425C22semidirect
192. #2424C22semidirect
193. #2424C22semidirect
194. #2422C22semidirect
195. #2422C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
198. #2420C22semidirect
199. #2418C22semidirect
200. #2418C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
203. #2417C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
206. #2415C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2414C22semidirect
210. #2412C22semidirect
211. #2412C22semidirect
212. #2411C22semidirect
213. #2411C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2407C22semidirect
223. #2406C22semidirect
224. #2405C22semidirect
225. #2405C22semidirect
226. #2405C22semidirect
227. #2405C22semidirect
228. #2392C22semidirect
229. #2388C22semidirect
230. C2×#394C22semidirect
231. C2×#394C22semidirect
232. #2367C22semidirect
233. #2366C22semidirect
234. #2365C22semidirect
235. #2363C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2361C22semidirect
240. #2361C22semidirect
241. #2359C22semidirect
242. #2359C22semidirect
243. #2359C22semidirect
244. #2358C22semidirect
245. #2354C22semidirect
246. #2354C22semidirect
247. #2349C22semidirect
248. #2349C22semidirect
249. D4×C4⋊C4C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. #2344C22semidirect
255. #2339C22semidirect
256. #2339C22semidirect
257. #2339C22semidirect
258. #2339C22semidirect
259. #2339C22semidirect
260. D4×C22⋊C4C22semidirect
261. D4×C22⋊C4C22semidirect
262. D4×C22⋊C4C22semidirect
263. D4×C22⋊C4C22semidirect
264. D4×C22⋊C4C22semidirect
265. D4×C22⋊C4C22semidirect
266. D4×C22⋊C4C22semidirect
267. D4×C22⋊C4C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
271. #2324C22semidirect
272. #2321C22semidirect
273. #2311C22semidirect
274. #2311C22semidirect
275. #2308C22semidirect
276. #2308C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×#127C22semidirect
279. C4×#124C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
285. C4×#123C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. #2297C22semidirect
290. #2297C22semidirect
291. #2293C22semidirect
292. C2×#390C22semidirect
293. C2×#390C22semidirect
294. C2×#390C22semidirect
295. C2×#389C22semidirect
296. C2×#386C22semidirect
297. C2×#386C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C4⋊C4C22semidirect
343. D42D4semidirect
879. C2×#41#41semidirect
1650. C4⋊C4H(5,𝔽2)semidirect
1861. D4#546semidirect

Maximal subgroups

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

subgroupindex
C2×#34982
C2×#34812
#594112
#594082
#591432
#591102
#591012
#590392
#590302
#589942
#453862
#448992
#439052
#430942
#394702
#394642
#389522
#389492
#377862
#377772
#364102
#362892
#362752
#362582
#362362
#361392
#361212
D4×#1232
#357612
#357502
#347152
C2×#24452
#343102
#342562
C4×#5472