Finite Group Databasebeta

← #7686262

Subgroups — #7686262

Order 512.

9227 conjugacy classes of subgroups.

The subgroup lattice has 2138 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3496C211yesmaximal, characteristic, complemented
3#59800C214yesmaximal, complemented
4#59650C212yesmaximal, complemented
5#59410C211yesmaximal, characteristic, complemented
6#59131C212yesmaximal, complemented
7#59049C211yesmaximal, characteristic, complemented
8#59040C211yesmaximal, characteristic, complemented
9#59004C212yesmaximal, complemented
10#58996C212yesmaximal, complemented
11#45018C212yesmaximal, complemented
12#44915C212yesmaximal, complemented
13#44022C214yesmaximal, complemented
14#43932C214yesmaximal, complemented
15#39471C211yesmaximal, characteristic, complemented
16#39467C212yesmaximal, complemented
17#39433C212yesmaximal, complemented
18#39430C214yesmaximal, complemented
19#38910C211yesmaximal, characteristic, complemented
20#38905C212yesmaximal, complemented
21#36424C212yesmaximal, complemented
22#36260C211yesmaximal, characteristic, complemented
23#36258C212yesmaximal, complemented
24#36150C211yesmaximal, characteristic, complemented
25D4×#124C211yesmaximal, characteristic, complemented
26#36096C212yesmaximal, complemented
27D4×C22⋊Q8C211yesmaximal, characteristic, complemented
28D4×#121C211yesmaximal, characteristic, complemented
29#35987C212yesmaximal, complemented
30#35680C212yesmaximal, complemented
31#34889C211yesmaximal, characteristic, complemented
32C2×#2540C212yesmaximal, complemented
33#34258C212yesmaximal, complemented
34C4×#547C211yesmaximal, characteristic, complemented
35C4×D42C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2212yes—
37#3520—216no—
38#3496—216no—
39C2×#556C2211yescharacteristic, complemented
40C2×#554C2212yescomplemented
41C2×#552C2212yescomplemented
42C2×#551C2214yescomplemented
43C2×D4×Q8C2211yescharacteristic, complemented
44C2×#548C2212yescomplemented
45C2×#547C2211yescharacteristic
46C2×#547C2211yescharacteristic, complemented
47C2×#547C2212yescomplemented
48C2×#547C2211yescharacteristic, complemented
49C2×#546C2212yes—
50C2×#546C2212yescomplemented
51C2×#546C2214yescomplemented
52C2×#546C2212yescomplemented
53C2×#546C2212yescomplemented
54C2×#546C2212yescomplemented
55C2×D42C2211yescharacteristic
56C2×D42C2211yescharacteristic
57C2×D42C2212yescomplemented
58C2×D42C2211yescharacteristic, complemented
59C2×D42C2212yescomplemented
60C2×#542C2212yescomplemented
61C2×#539C2214yescomplemented
62C2×#537C2212yescomplemented
63C2×#534C2214yescomplemented
64C2×#533C2211yescharacteristic, complemented
65C2×#532C2211yescharacteristic, complemented
66C2×#532C2211yescharacteristic, complemented
67C2×#529C2211yescharacteristic, complemented
68C22×#124C2212yescomplemented
69C2×#525C2212yescomplemented
70C22×C22⋊Q8C2212yescomplemented
71C22×C22⋊Q8C2212yescomplemented
72C22×#121C2212yescomplemented
73C22×#121C2212yescomplemented
74C22×#121C2212yescomplemented
75C2×#520C2212yescomplemented
76C2×C4×#41C2212yescomplemented
77C22×C4×D4C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic, complemented
79C22×C4×D4C2212yescomplemented
80#2858C2211yescharacteristic, complemented
81#2857C2211yescharacteristic, complemented
82#2856C2212yescomplemented
83#2856C2211yescharacteristic, complemented
84#2854C2214yescomplemented
85#2850C2212yescomplemented
86#2848C2212yescomplemented
87#2847C2212yescomplemented
88#2714C2214yescomplemented
89#2714C2214yescomplemented
90#2714C2214yescomplemented
91#2711C2214yescomplemented
92#2711C2214yescomplemented
93#2710C2214yescomplemented
94#2705C2214yescomplemented
95#2703C2214yescomplemented
96#2696C2214yescomplemented
97#2696C2214yescomplemented
98#2694C2214yescomplemented
99#2692C2214yescomplemented
100#2692C2214yescomplemented
101#2685C2214yescomplemented
102#2681C2214yescomplemented
103#2678C2214yescomplemented
104#2678C2214yescomplemented
105#2676C2214yescomplemented
106#2672C2214yescomplemented
107#2671C2214yescomplemented
108#2670C2214yescomplemented
109#2624C2212yescomplemented
110#2623C2214yescomplemented
111#2615C2212yescomplemented
112#2613C2214yescomplemented
113#2560C2214yescomplemented
114#2559C2212yescomplemented
115#2558C2214yescomplemented
116#2557C2212yescomplemented
117#2556C2214yescomplemented
118#2555C2214yescomplemented
119#2554C2214yescomplemented
120#2554C2214yescomplemented
121#2550C2211yescharacteristic, complemented
122#2548C2211yescharacteristic, complemented
123#2548C2212yescomplemented
124#2547C2211yescharacteristic, complemented
125#2544C2211yescharacteristic, complemented
126#2542C2211yescharacteristic, complemented
127#2541C2211yescharacteristic, complemented
128#2540C2212yescomplemented
129#2540C2214yescomplemented
130#2540C2214yescomplemented
131#2540C2212yescomplemented
132#2540C2212yescomplemented
133#2540C2212yescomplemented
134#2540C2211yescharacteristic, complemented
135#2540C2212yescomplemented
136#2540C2214yescomplemented
137#2540C2212yescomplemented
138#2540C2212yescomplemented
139#2540C2214yescomplemented
140#2540C2212yescomplemented
141#2539C2214yescomplemented
142#2539C2214yescomplemented
143#2538C2211yescharacteristic, complemented
144#2538C2212yescomplemented
145#2537C2211yescharacteristic, complemented
146#2535C2211yescharacteristic, complemented
147#2521C2212yescomplemented
148#2501C2212yescomplemented
149#2498C2214yescomplemented
150#2492C2212yescomplemented
151#2492C2211yescharacteristic, complemented
152#2491C2212yescomplemented
153#2491C2212yescomplemented
154#2490C2212yescomplemented
155#2490C2211yescharacteristic, complemented
156#2490C2212yescomplemented
157#2487C2212yescomplemented
158#2482C2214yescomplemented
159#2472C2214yescomplemented
160#2472C2214yescomplemented
161#2472C2214yescomplemented
162#2472C2214yescomplemented
163#2471C2214yescomplemented
164#2467C2214yescomplemented
165#2464C2214yescomplemented
166#2464C2212yescomplemented
167#2464C2214yescomplemented
168#2456C2214yescomplemented
169#2454C2212yescomplemented
170#2452C2212yescomplemented
171#2449C2214yescomplemented
172#2448C2212yescomplemented
173#2448C2212yescomplemented
174#2443C2214yescomplemented
175#2443C2214yescomplemented
176#2440C2212yescomplemented
177#2437C2214yescomplemented
178#2437C2214yescomplemented
179#2436C2212yescomplemented
180#2435C2212yescomplemented
181#2435C2212yescomplemented
182#2433C2212yescomplemented
183#2431C2212yescomplemented
184#2431C2212yescomplemented
185#2431C2212yescomplemented
186#2430C2214yescomplemented
187#2428C2212yescomplemented
188#2428C2211yescharacteristic, complemented
189#2427C2212yescomplemented
190#2427C2211yescharacteristic, complemented
191#2427C2212yescomplemented
192#2426C2212yescomplemented
193#2426C2212yescomplemented
194#2426C2212yescomplemented
195#2426C2212yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2424C2214yescomplemented
200#2423C2212yescomplemented
201#2423C2212yescomplemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2214yescomplemented
205#2417C2212yescomplemented
206#2417C2212yescomplemented
207#2417C2212yescomplemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2214yescomplemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2414C2212yescomplemented
215#2414C2212yescomplemented
216#2411C2214yescomplemented
217#2411C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2410C2214yescomplemented
221#2409C2212yescomplemented
222#2408C2212yescomplemented
223#2408C2212yescomplemented
224#2408C2212yescomplemented
225#2408C2214yescomplemented
226#2407C2212yescomplemented
227#2407C2212yescomplemented
228#2407C2212yescomplemented
229#2404C2214yescomplemented
230#2403C2214yescomplemented
231#2403C2214yescomplemented
232#2395C2212yescomplemented
233C2×#399C2214yescomplemented
234#2388C2212yescomplemented
235C2×#392C2214yescomplemented
236#2367C2212yescomplemented
237#2366C2211yescharacteristic, complemented
238#2365C2211yescharacteristic, complemented
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2362C2212yescomplemented
242#2361C2211yescharacteristic, complemented
243#2361C2211yescharacteristic, complemented
244#2361C2212yescomplemented
245#2361C2212yescomplemented
246#2360C2212yescomplemented
247#2359C2214yescomplemented
248#2358C2214yescomplemented
249#2358C2212yescomplemented
250#2358C2212yescomplemented
251#2354C2211yescharacteristic, complemented
252#2352C2212yescomplemented
253D4×C4⋊C4C2211yescharacteristic, complemented
254D4×C4⋊C4C2211yescharacteristic, complemented
255D4×C4⋊C4C2211yescharacteristic, complemented
256D4×C4⋊C4C2212yescomplemented
257#2344C2212yescomplemented
258#2341C2212yescomplemented
259#2341C2212yescomplemented
260#2341C2212yescomplemented
261#2341C2212yescomplemented
262#2339C2212yescomplemented
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2211yescharacteristic
265D4×C22⋊C4C2214yescomplemented
266D4×C22⋊C4C2212yescomplemented
267D4×C22⋊C4C2212yescomplemented
268D4×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2211yescharacteristic, complemented
270D4×C22⋊C4C2214yescomplemented
271D4×C22⋊C4C2214yescomplemented
272D4×C22⋊C4C2212yescomplemented
273D4×C22⋊C4C2214yescomplemented
274#2311C2212yescomplemented
275#2311C2214yescomplemented
276#2309C2214yescomplemented
277#2309C2212yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2214yescomplemented
284C4×#121C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2211yescharacteristic, complemented
287C4×#121C2212yescomplemented
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yescomplemented
291C4×#120C2212yescomplemented
292#2297C2212yescomplemented
293#2297C2214yescomplemented
294C2×#390C2212yescomplemented
295C2×#390C2214yescomplemented
296C2×#390C2214yescomplemented
297C42×D4C2211yescharacteristic, complemented
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×#41C2312yes—
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2312yes—
310C23×Q8C2312yes—
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C23×D4C2314yes—
314C23×D4C2312yes—
315C23×D4C2314yes—
316C23×D4C2314yes—
317C23×D4C2311yescharacteristic
318C23×D4C2312yes—
319C23×D4C2312yes—
320C23×D4C2312yes—
321C23×D4C2314yes—
322C24×C4C2312yes—
323C24×C4C2312yes—
324#556—28no—
325#554—216no—
326#552—216no—
327#551—232no—
328D4×Q8—28no—
329#548—216no—
330#547—28no—
331#547—28no—
332#547—216no—
333#547D4116yescomplemented
334#546—216no—
335#546—216no—
336#546—232no—
337#546—216no—
338#546—48no—
339#546—48no—
340D42—28no—
341D42—216no—
342D42—28no—
343D42—28no—
344D42—48no—
345#542—216no—
346#539—232no—
347#537—216no—
348#534—232no—
349#533—28no—
350#532—28no—
351#532—28no—
352C2×C4⋊Q8C2311yescharacteristic
353C2×C4⋊Q8C2311yescharacteristic
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2311yescharacteristic
356C2×#127C2311yescharacteristic
357C2×#127C2311yescharacteristic
358C2×#127C2311yescharacteristic
359C2×#127C2312yes—
360#529—28no—
361C2×#126C2314yes—
362C2×#126C2312yes—
363C2×#126C2314yes—
364C2×#125C2311yescharacteristic
365C2×#125C2312yes—
366C2×#125C2314yes—
367C2×#124—48no—
368C2×#124C2312yes—
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2314yes—
380#525—216no—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×C22⋊Q8—216no—
392C2×C22⋊Q8—48no—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×#121—216no—
414C2×#121—216no—
415C2×#121—48no—
416C2×#121C2312yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2312yes—
426C2×#121C2311yescharacteristic
427C2×#121C2311yescharacteristic
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2314yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2314yes—
450C2×#121C2314yes—
451C2×#121C2312yes—
452C2×#120C2312yes—
453C2×#120C2312yes—
454C2×#120C2314yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C2×#120C2314yes—
458C2×#120C2314yes—
459C2×#120C2314yes—
460C2×#120C2314yes—
461C2×#120C2314yes—
462C2×#120C2314yes—
463C2×#120C2314yes—
464#520—216no—
465C4×#41—48no—
466C2×C4×Q8C2312yes—
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2312yes—
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2312yes—
472C2×C4×D4—28no—
473C2×C4×D4—28no—
474C2×C4×D4—48no—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2314yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2311yescharacteristic
499C2×C4×D4C2312yes—
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2311yescharacteristic
502C2×C4×D4C2312yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2314yes—
505C2×C4×D4C2311yescharacteristic
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2312yes—
512C2×C4×D4C2312yes—
513C2×C4×D4C2311yescharacteristic
514C2×C4×D4C2311yescharacteristic
515C2×#117C2312yes—
516C2×#117C2314yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2314yes—
520C2×#117C2312yes—
521C22×C4⋊C4C2314yes—
522C22×C4⋊C4C2312yes—
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2311yescharacteristic
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2312yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2314yes—
529C22×C4⋊C4C2312yes—
530C22×C22⋊C4C2312yes—
531C22×C22⋊C4C2312yes—
532C22×C22⋊C4C2314yes—
533C22×C22⋊C4C2314yes—
534C22×C22⋊C4C2314yes—
535C22×C22⋊C4C2312yes—
536C22×C22⋊C4C2314yes—
537C22×C22⋊C4C2314yes—
538C22×C22⋊C4C2314yes—
539C22×C22⋊C4C2314yes—
540C22×C22⋊C4C2314yes—
541C22×C22⋊C4C2312yes—
542C22×C22⋊C4C2314yes—
543C22×C42C2312yes—
544C22×C42C2311yescharacteristic
545C22×C42C2311yescharacteristic
546C22×C42C2314yes—
547C22×C42C2312yes—
548#400C2312yes—
549#400C2314yes—
550#399C2314yes—
551#399C2314yes—
552#399C2312yes—
553#399C2314yes—
554#399C2314yes—
555#399C2314yes—
556#399C2314yes—
557#399C2314yes—
558#399C2314yes—
559#399C2314yes—
560#398C2314yes—
561#398C2314yes—
562#398C2314yes—
563#398C2312yes—
564#397C2314yes—
565#397C2314yes—
566#397C2314yes—
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#397C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#395C2312yes—
579#395C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2312yes—
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#393C2314yes—
603#393C2312yes—
604#393C2314yes—
605#393C2314yes—
606#393C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2312yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#392C2312yes—
621#392C2312yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#391C2312yes—
627#391C2312yes—
628#391C2312yes—
629#391C2314yes—
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2311yescharacteristic
634#391C2311yescharacteristic
635#390C2314yes—
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2312yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2314yes—
642#390C2312yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2312yes—
647#390C2312yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2312yes—
652#390C2314yes—
653#390C2312yes—
654#390C2312yes—
655#390C2312yes—
656#390C2314yes—
657#390C2314yes—
658#390C2314yes—
659#390C2314yes—
660#390C2312yes—
661#390C2311yescharacteristic
662#390C2312yes—
663#390C2312yes—
664#390C2312yes—
665#390C2314yes—
666#390C2312yes—
667#390C2314yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2311yescharacteristic
674#390C2314yes—
675#390C2314yes—
676#390C2314yes—
677#390C2311yescharacteristic
678#390C2314yes—
679#390C2314yes—
680#390C2314yes—
681#390C2312yes—
682#390C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2314yes—
687#389C2312yes—
688#389C2312yes—
689#389C2312yes—
690#389C2311yescharacteristic
691#389C2312yes—
692#389C2311yescharacteristic
693#389C2312yes—
694#389C2312yes—
695#389C2311yescharacteristic
696#389C2311yescharacteristic
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2312yes—
716#388C2314yes—
717#388C2314yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2312yes—
727#386C2314yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2312yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2312yes—
756#386C2312yes—
757#386C2312yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2312yes—
763#386C2314yes—
764#386C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2312yes—
770#385C2312yes—
771#385C2312yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2312yes—
778#385C2312yes—
779#385C2314yes—
780#385C2312yes—
781#384C2311yescharacteristic
782#384C2311yescharacteristic
783#384C2312yes—
784#382C2311yescharacteristic
785#381C2314yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2314yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2312yes—
797#380C2311yescharacteristic
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806#379C2312yes—
807#379C2314yes—
808#379C2314yes—
809#379C2314yes—
810#379C2314yes—
811#379C2314yes—
812#379C2312yes—
813#379C2314yes—
814#379C2314yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2311yescharacteristic
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2311yescharacteristic
852C4×C22⋊C4C2311yescharacteristic
853C4×C22⋊C4C2312yes—
854C2×#95C2314yes—
855C43C2311yescharacteristic
856C25C2412yes—
857C25C2414yes—
858C25C2414yes—
859C25C2412yes—
860H(5,𝔽2)—4128no—
861C2×#41—28no—
862C2×#41—28no—
863C2×#41—28no—
864C2×#41—28no—
865C2×#41—216no—
866C2×#41—28no—
867C2×#41—28no—
868C2×#41—28no—
869C2×#41—216no—
870C2×#41—28no—
871C2×#41—28no—
872C2×#41—44no—
873C2×#41—48no—
874C2×#41—44no—
875C2×#41—44no—
876C2×#41—44no—
877C2×#41—44no—
878C2×#41C2×D4116yes—
879C22×Q8—28no—
880C22×Q8—44no—
881C22×Q8—44no—
882C22×Q8C2411yescharacteristic
883C22×Q8C2412yes—
884C22×Q8C2412yes—
885C22×Q8C2412yes—
886C22×Q8C2414yes—
887C22×D4—24no—
888C22×D4—24no—
889C22×D4—28no—
890C22×D4—216no—
891C22×D4—216no—
892C22×D4—24no—
893C22×D4—216no—
894C22×D4—216no—
895C22×D4—28no—
896C22×D4—24no—
897C22×D4—28no—
898C22×D4—216no—
899C22×D4—28no—
900C22×D4—24no—
901C22×D4—28no—
902C22×D4—28no—
903C22×D4—216no—
904C22×D4—28no—
905C22×D4—28no—
906C22×D4—44no—
907C22×D4—44no—
908C22×D4—44no—
909C22×D4—48no—
910C22×D4—44no—
911C22×D4—44no—
912C22×D4—44no—
913C22×D4—48no—
914C22×D4—48no—
915C22×D4—44no—
916C22×D4—48no—
917C22×D4—48no—
918C22×D4—48no—
919C22×D4#4118yescomplemented
920C22×D4C2411yescharacteristic
921C22×D4C2412yes—
922C22×D4C2411yescharacteristic
923C22×D4C2411yescharacteristic
924C22×D4C2412yes—
925C22×D4C2414yes—
926C22×D4C2412yes—
927C22×D4C2412yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2412yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C22×D4C2412yes—
934C22×D4C2414yes—
935C22×D4C2412yes—
936C22×D4C2412yes—
937C22×D4C2414yes—
938C22×D4C2411yescharacteristic
939C22×D4C2412yes—
940C22×D4C2411yescharacteristic
941C22×D4C2412yes—
942C22×D4C2412yes—
943C22×D4C2412yes—
944C22×D4C2412yes—
945C22×D4C2414yes—
946C22×D4C2414yes—
947C22×D4C2414yes—
948C22×D4C2414yes—
949C22×D4C2414yes—
950C22×D4C2414yes—
951C22×D4C2414yes—
952C22×D4C2411yescharacteristic
953C23×C4—28no—
954C23×C4—28no—
955C23×C4—44no—
956C23×C4—44no—
957C23×C4—44no—
958C23×C4—44no—
959C23×C4C2411yescharacteristic
960C23×C4C2412yes—
961C23×C4C2412yes—
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2414yes—
967C23×C4C2412yes—
968C23×C4C2411yescharacteristic
969C23×C4C2414yes—
970C23×C4C2414yes—
971C23×C4C2414yes—
972C23×C4C2412yes—
973C23×C4C2412yes—
974C23×C4C2411yescharacteristic
975C23×C4C2414yes—
976C23×C4C2412yes—
977C23×C4C2412yes—
978C23×C4C2414yes—
979C23×C4C2412yes—
980C23×C4C2412yes—
981C23×C4C2412yes—
982C23×C4C2411yescharacteristic
983C23×C4C2412yes—
984C23×C4C2412yes—
985C23×C4C2412yes—
986C4⋊Q8—24no—
987C4⋊Q8—28no—
988C4⋊Q8—24no—
989C4⋊Q8C2×D418yescomplemented
990#127—24no—
991#127—24no—
992#127—24no—
993#127—44no—
994#126—216no—
995#126—216no—
996#126—28no—
997#125—24no—
998#125—28no—
999#125—216no—
1000#124—28no—
1001#124—28no—
1002#124—24no—
1003#124—28no—
1004#124—216no—
1005#124—24no—
1006#124—28no—
1007#124—48no—
1008#124—48no—
1009#124—44no—
1010#124—44no—
1011#124—44no—
1012#123—216no—
1013#123—216no—
1014#123—216no—
1015#123—216no—
1016#123—216no—
1017#123—28no—
1018#123—216no—
1019#123—48no—
1020#123—48no—
1021#123C2×D4132yescomplemented
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—28no—
1025C22⋊Q8—24no—
1026C22⋊Q8—28no—
1027C22⋊Q8—216no—
1028C22⋊Q8—28no—
1029C22⋊Q8—28no—
1030C22⋊Q8—216no—
1031C22⋊Q8—216no—
1032C22⋊Q8—24no—
1033C22⋊Q8—28no—
1034C22⋊Q8—216no—
1035C22⋊Q8—216no—
1036C22⋊Q8—48no—
1037C22⋊Q8—48no—
1038C22⋊Q8—44no—
1039C22⋊Q8—44no—
1040C22⋊Q8—44no—
1041C22⋊Q8C2×D4116yescomplemented
1042#121—24no—
1043#121—216no—
1044#121—24no—
1045#121—216no—
1046#121—24no—
1047#121—28no—
1048#121—28no—
1049#121—28no—
1050#121—28no—
1051#121—24no—
1052#121—28no—
1053#121—24no—
1054#121—216no—
1055#121—28no—
1056#121—28no—
1057#121—216no—
1058#121—28no—
1059#121—28no—
1060#121—24no—
1061#121—28no—
1062#121—216no—
1063#121—28no—
1064#121—216no—
1065#121—48no—
1066#121—48no—
1067#121—48no—
1068#121—44no—
1069#121—44no—
1070#121—44no—
1071#121—44no—
1072#121—44no—
1073#121—44no—
1074#121—48no—
1075#121—44no—
1076#121—48no—
1077#121C2×D4116yescomplemented
1078#120—28no—
1079#120—216no—
1080#120—216no—
1081#120—28no—
1082#120—216no—
1083#120—216no—
1084#120—216no—
1085#120—48no—
1086#120—48no—
1087#120—48no—
1088#120—48no—
1089#120—48no—
1090C4×Q8—28no—
1091C4×Q8—28no—
1092C4×Q8—28no—
1093C4×Q8—24no—
1094C4×Q8—44no—
1095C4×Q8—44no—
1096C4×D4—24no—
1097C4×D4—24no—
1098C4×D4—216no—
1099C4×D4—28no—
1100C4×D4—216no—
1101C4×D4—24no—
1102C4×D4—24no—
1103C4×D4—28no—
1104C4×D4—28no—
1105C4×D4—28no—
1106C4×D4—28no—
1107C4×D4—28no—
1108C4×D4—24no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—28no—
1112C4×D4—28no—
1113C4×D4—24no—
1114C4×D4—28no—
1115C4×D4—28no—
1116C4×D4—216no—
1117C4×D4—24no—
1118C4×D4—24no—
1119C4×D4—24no—
1120C4×D4—24no—
1121C4×D4—28no—
1122C4×D4—24no—
1123C4×D4—44no—
1124C4×D4—44no—
1125C4×D4—44no—
1126C4×D4—44no—
1127C4×D4—44no—
1128C4×D4—44no—
1129C4×D4—44no—
1130C4×D4—44no—
1131C4×D4—42no—
1132C4×D4—48no—
1133C4×D4—48no—
1134C4×D4C2×D418yes—
1135C4×D4C2×D418yescomplemented
1136#117—28no—
1137#117—216no—
1138#117—28no—
1139#117—28no—
1140#117—48no—
1141#117—44no—
1142C2×C4⋊C4—216no—
1143C2×C4⋊C4—28no—
1144C2×C4⋊C4—24no—
1145C2×C4⋊C4—24no—
1146C2×C4⋊C4—28no—
1147C2×C4⋊C4—28no—
1148C2×C4⋊C4—44no—
1149C2×C4⋊C4—48no—
1150C2×C4⋊C4C2×D4116yescomplemented
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2411yescharacteristic
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2411yescharacteristic
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C4⋊C4C2412yes—
1172C2×C4⋊C4C2412yes—
1173C2×C4⋊C4C2411yescharacteristic
1174C2×C4⋊C4C2411yescharacteristic
1175C2×C4⋊C4C2411yescharacteristic
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2414yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2414yes—
1187C2×C4⋊C4C2412yes—
1188C2×C4⋊C4C2412yes—
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2414yes—
1191C2×C4⋊C4C2412yes—
1192C2×C4⋊C4C2412yes—
1193C2×C4⋊C4C2412yes—
1194C2×C4⋊C4C2411yescharacteristic
1195C2×C4⋊C4C2411yescharacteristic
1196C2×C4⋊C4C2414yes—
1197C2×C4⋊C4C2412yes—
1198C2×C4⋊C4C2411yescharacteristic
1199C2×C22⋊C4—216no—
1200C2×C22⋊C4—216no—
1201C2×C22⋊C4—28no—
1202C2×C22⋊C4—28no—
1203C2×C22⋊C4—216no—
1204C2×C22⋊C4—44no—
1205C2×C22⋊C4—44no—
1206C2×C22⋊C4—48no—
1207C2×C22⋊C4—48no—
1208C2×C22⋊C4—48no—
1209C2×C22⋊C4—48no—
1210C2×C22⋊C4—48no—
1211C2×C22⋊C4—48no—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2411yescharacteristic
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2412yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2411yescharacteristic
1252C2×C22⋊C4C2411yescharacteristic
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2411yescharacteristic
1255C2×C22⋊C4C2412yes—
1256C2×C22⋊C4C2412yes—
1257C2×C22⋊C4C2412yes—
1258C2×C22⋊C4C2412yes—
1259C2×C22⋊C4C2412yes—
1260C2×C22⋊C4C2412yes—
1261C2×C22⋊C4C2412yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2414yes—
1272C2×C22⋊C4C2414yes—
1273C2×C22⋊C4C2414yes—
1274C2×C22⋊C4C2412yes—
1275C2×C22⋊C4C2412yes—
1276C2×C22⋊C4C2412yes—
1277C2×C22⋊C4C2411yescharacteristic
1278C2×C22⋊C4C2414yes—
1279C2×C22⋊C4C2414yes—
1280C2×C22⋊C4C2414yes—
1281C2×C22⋊C4C2414yes—
1282C2×C22⋊C4C2414yes—
1283C2×C22⋊C4C2414yes—
1284C2×C22⋊C4C2414yes—
1285C2×C22⋊C4C2412yes—
1286C2×C22⋊C4C2412yes—
1287C2×C22⋊C4C2412yes—
1288C2×C22⋊C4C2412yes—
1289C2×C22⋊C4C2414yes—
1290C2×C22⋊C4C2412yes—
1291C2×C22⋊C4C2412yes—
1292C2×C22⋊C4C2412yes—
1293C2×C22⋊C4C2414yes—
1294C2×C22⋊C4C2412yes—
1295C2×C42—24no—
1296C2×C42—24no—
1297C2×C42—28no—
1298C2×C42—44no—
1299C2×C42—48no—
1300C2×C42C2411yescharacteristic
1301C2×C42C2414yes—
1302C2×C42C2414yes—
1303C2×C42C2412yes—
1304C2×C42C2411yescharacteristic
1305C2×C42C2411yescharacteristic
1306C2×C42C2411yescharacteristic
1307C2×C42C2411yescharacteristic
1308C2×C42C2411yescharacteristic
1309C2×C42C2412yes—
1310C2×C42C2412yes—
1311C2×C42C2412yes—
1312C2×C42C2412yes—
1313C2×C42C2411yescharacteristic
1314C2×C42C2411yescharacteristic
1315C2×C42C2411yescharacteristic
1316C2×C42C2412yes—
1317C2×C42C2414yes—
1318C2×C42C2414yes—
1319C2×C42C2414yes—
1320C2×C42C2411yescharacteristic
1321C2×C42C2411yescharacteristic
1322C2×C42C2412yes—
1323C2×C42C2411yescharacteristic
1324C2×C42C2411yescharacteristic
1325#95C2412yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2411yescharacteristic
1330#95C2412yes—
1331#95C2412yes—
1332#95C2412yes—
1333#95C2412yes—
1334#95C2411yescharacteristic
1335#95C2411yescharacteristic
1336#95C2412yes—
1337#95C2412yes—
1338#95C2412yes—
1339#95C2412yes—
1340#95C2411yescharacteristic
1341#95C2411yescharacteristic
1342#95C2411yescharacteristic
1343#95C2412yes—
1344#95C2414yes—
1345#95C2412yes—
1346#95C2412yes—
1347#95C2414yes—
1348#95C2412yes—
1349#95C2414yes—
1350#95C2414yes—
1351#95C2412yes—
1352#95C2412yes—
1353#95C2412yes—
1354#95C2414yes—
1355#95C2412yes—
1356#95C2412yes—
1357#95C2412yes—
1358#95C2414yes—
1359#95C2412yes—
1360#95C2414yes—
1361#95C2414yes—
1362#95C2414yes—
1363C24—24no—
1364C24—24no—
1365C24—24no—
1366C24—24no—
1367C24—24no—
1368C24—24no—
1369C24—28no—
1370C24—28no—
1371C24—28no—
1372C24—28no—
1373C24—28no—
1374C24—42no—
1375C24—42no—
1376C24—42no—
1377C24—42no—
1378C24—42no—
1379C24—42no—
1380C24—42no—
1381C24—44no—
1382C24—44no—
1383C24—44no—
1384C24—44no—
1385C24—44no—
1386C24—44no—
1387C24—44no—
1388C24—44no—
1389C24—44no—
1390C24C2×#4118yes—
1391C24C2512yes—
1392C24C2514yes—
1393C24C2512yes—
1394C24C2512yes—
1395C24C2512yes—
1396C24C2511yescharacteristic
1397C24C2511yescharacteristic
1398C24C2512yes—
1399#41—264no—
1400#41—432no—
1401#41—464no—
1402#41—432no—
1403#41—432no—
1404#41—816no—
1405C2×Q8—22no—
1406C2×Q8—24no—
1407C2×Q8—24no—
1408C2×Q8—28no—
1409C2×Q8—24no—
1410C2×Q8—24no—
1411C2×Q8—24no—
1412C2×Q8—22no—
1413C2×Q8—24no—
1414C2×Q8—24no—
1415C2×Q8—22no—
1416C2×Q8—42no—
1417C2×Q8—44no—
1418C2×Q8—44no—
1419C2×Q8—816no—
1420C2×Q8C22×D418yes—
1421C2×D4—24no—
1422C2×D4—22no—
1423C2×D4—28no—
1424C2×D4—28no—
1425C2×D4—24no—
1426C2×D4—22no—
1427C2×D4—232no—
1428C2×D4—24no—
1429C2×D4—24no—
1430C2×D4—28no—
1431C2×D4—24no—
1432C2×D4—24no—
1433C2×D4—24no—
1434C2×D4—24no—
1435C2×D4—24no—
1436C2×D4—24no—
1437C2×D4—28no—
1438C2×D4—28no—
1439C2×D4—24no—
1440C2×D4—28no—
1441C2×D4—24no—
1442C2×D4—28no—
1443C2×D4—24no—
1444C2×D4—28no—
1445C2×D4—24no—
1446C2×D4—24no—
1447C2×D4—24no—
1448C2×D4—24no—
1449C2×D4—28no—
1450C2×D4—28no—
1451C2×D4—24no—
1452C2×D4—28no—
1453C2×D4—22no—
1454C2×D4—22no—
1455C2×D4—24no—
1456C2×D4—22no—
1457C2×D4—28no—
1458C2×D4—28no—
1459C2×D4—28no—
1460C2×D4—24no—
1461C2×D4—24no—
1462C2×D4—24no—
1463C2×D4—28no—
1464C2×D4—22no—
1465C2×D4—24no—
1466C2×D4—24no—
1467C2×D4—22no—
1468C2×D4—22no—
1469C2×D4—22no—
1470C2×D4—22no—
1471C2×D4—24no—
1472C2×D4—24no—
1473C2×D4—22no—
1474C2×D4—24no—
1475C2×D4—22no—
1476C2×D4—24no—
1477C2×D4—24no—
1478C2×D4—22no—
1479C2×D4—28no—
1480C2×D4—432no—
1481C2×D4—42no—
1482C2×D4—42no—
1483C2×D4—42no—
1484C2×D4—42no—
1485C2×D4—44no—
1486C2×D4—44no—
1487C2×D4—44no—
1488C2×D4—42no—
1489C2×D4—42no—
1490C2×D4—42no—
1491C2×D4—42no—
1492C2×D4—42no—
1493C2×D4—464no—
1494C2×D4—42no—
1495C2×D4—44no—
1496C2×D4—44no—
1497C2×D4—44no—
1498C2×D4—44no—
1499C2×D4—44no—
1500C2×D4—44no—
1501C2×D4—44no—
1502C2×D4—44no—
1503C2×D4—44no—
1504C2×D4—44no—
1505C2×D4—42no—
1506C2×D4—42no—
1507C2×D4—44no—
1508C2×D4—44no—
1509C2×D4—44no—
1510C2×D4—42no—
1511C2×D4—42no—
1512C2×D4—42no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—464no—
1517C2×D4—464no—
1518C2×D4—432no—
1519C2×D4—416no—
1520C2×D4—432no—
1521C2×D4—816no—
1522C2×D4—816no—
1523C2×D4—832no—
1524C2×D4C22×D4116yes—
1525C2×D4C22×D414yes—
1526C2×D4C22×D414yes—
1527C2×D4C2×#4118yes—
1528C2×D4C2×#4114yes—
1529C2×D4C2×#4114yes—
1530C2×D4H(5,𝔽2)14yes—
1531C22×C4—28no—
1532C22×C4—28no—
1533C22×C4—22no—
1534C22×C4—24no—
1535C22×C4—24no—
1536C22×C4—24no—
1537C22×C4—24no—
1538C22×C4—22no—
1539C22×C4—24no—
1540C22×C4—28no—
1541C22×C4—24no—
1542C22×C4—28no—
1543C22×C4—22no—
1544C22×C4—24no—
1545C22×C4—28no—
1546C22×C4—24no—
1547C22×C4—28no—
1548C22×C4—22no—
1549C22×C4—22no—
1550C22×C4—22no—
1551C22×C4—22no—
1552C22×C4—28no—
1553C22×C4—24no—
1554C22×C4—24no—
1555C22×C4—28no—
1556C22×C4—24no—
1557C22×C4—22no—
1558C22×C4—28no—
1559C22×C4—24no—
1560C22×C4—24no—
1561C22×C4—24no—
1562C22×C4—28no—
1563C22×C4—22no—
1564C22×C4—22no—
1565C22×C4—24no—
1566C22×C4—24no—
1567C22×C4—22no—
1568C22×C4—24no—
1569C22×C4—24no—
1570C22×C4—24no—
1571C22×C4—22no—
1572C22×C4—22no—
1573C22×C4—22no—
1574C22×C4—24no—
1575C22×C4—24no—
1576C22×C4—24no—
1577C22×C4—24no—
1578C22×C4—24no—
1579C22×C4—24no—
1580C22×C4—42no—
1581C22×C4—41no—
1582C22×C4—42no—
1583C22×C4—44no—
1584C22×C4—44no—
1585C22×C4—44no—
1586C22×C4—42no—
1587C22×C4—42no—
1588C22×C4—42no—
1589C22×C4—44no—
1590C22×C4—42no—
1591C22×C4—42no—
1592C22×C4—44no—
1593C22×C4—44no—
1594C22×C4—44no—
1595C22×C4—42no—
1596C22×C4—42no—
1597C22×C4—42no—
1598C22×C4—42no—
1599C22×C4—42no—
1600C22×C4—41no—
1601C22×C4—42no—
1602C22×C4—42no—
1603C22×C4—42no—
1604C22×C4—42no—
1605C22×C4—42no—
1606C22×C4—42no—
1607C22×C4—41no—
1608C22×C4—816no—
1609C22×C4—816no—
1610C22×C4C22×D4116yes—
1611C22×C4C22×D418yes—
1612C22×C4C22×D418yes—
1613C22×C4C2×#4114yes—
1614C22×C4C2511yescharacteristic
1615C22×C4C2512yes—
1616C22×C4C2512yes—
1617C22×C4C2511yescharacteristic
1618C22×C4C2512yes—
1619C22×C4C2514yes—
1620C22×C4C2511yescharacteristic
1621C22×C4C2512yes—
1622C22×C4C2511yescharacteristic
1623C22×C4C2512yes—
1624C22×C4C2511yescharacteristic
1625C22×C4C2511yescharacteristic
1626C22×C4C2511yescharacteristic
1627C22×C4C2512yes—
1628C22×C4C2512yes—
1629C22×C4C2514yes—
1630C22×C4C2512yes—
1631C22×C4C2511yescharacteristic
1632C22×C4C2512yes—
1633C22×C4C2514yes—
1634C22×C4C2512yes—
1635C22×C4C2511yescharacteristic
1636C22×C4C2511yescharacteristic
1637C22×C4C2512yes—
1638C22×C4C2511yescharacteristic
1639C22×C4C2511yescharacteristic
1640C22×C4C2511yescharacteristic
1641C4⋊C4—22no—
1642C4⋊C4—24no—
1643C4⋊C4—28no—
1644C4⋊C4—22no—
1645C4⋊C4—24no—
1646C4⋊C4—22no—
1647C4⋊C4—24no—
1648C4⋊C4—24no—
1649C4⋊C4—28no—
1650C4⋊C4—28no—
1651C4⋊C4—28no—
1652C4⋊C4—24no—
1653C4⋊C4—22no—
1654C4⋊C4—24no—
1655C4⋊C4—24no—
1656C4⋊C4—28no—
1657C4⋊C4—24no—
1658C4⋊C4—28no—
1659C4⋊C4—24no—
1660C4⋊C4—22no—
1661C4⋊C4—22no—
1662C4⋊C4—28no—
1663C4⋊C4—24no—
1664C4⋊C4—22no—
1665C4⋊C4—24no—
1666C4⋊C4—24no—
1667C4⋊C4—28no—
1668C4⋊C4—22no—
1669C4⋊C4—24no—
1670C4⋊C4—22no—
1671C4⋊C4—42no—
1672C4⋊C4—42no—
1673C4⋊C4—44no—
1674C4⋊C4—44no—
1675C4⋊C4—44no—
1676C4⋊C4—44no—
1677C4⋊C4—41no—
1678C4⋊C4—42no—
1679C4⋊C4—42no—
1680C4⋊C4—42no—
1681C4⋊C4—42no—
1682C4⋊C4—44no—
1683C4⋊C4C22×D414yes—
1684C4⋊C4C22×D418yes—
1685C4⋊C4C22×D414yes—
1686C4⋊C4C22×D4116yes—
1687C4⋊C4C22×D418yes—
1688C4⋊C4H(5,𝔽2)14yescomplemented
1689C22⋊C4—24no—
1690C22⋊C4—24no—
1691C22⋊C4—24no—
1692C22⋊C4—28no—
1693C22⋊C4—24no—
1694C22⋊C4—24no—
1695C22⋊C4—24no—
1696C22⋊C4—22no—
1697C22⋊C4—24no—
1698C22⋊C4—24no—
1699C22⋊C4—24no—
1700C22⋊C4—28no—
1701C22⋊C4—22no—
1702C22⋊C4—28no—
1703C22⋊C4—24no—
1704C22⋊C4—24no—
1705C22⋊C4—28no—
1706C22⋊C4—24no—
1707C22⋊C4—24no—
1708C22⋊C4—24no—
1709C22⋊C4—24no—
1710C22⋊C4—28no—
1711C22⋊C4—28no—
1712C22⋊C4—28no—
1713C22⋊C4—28no—
1714C22⋊C4—28no—
1715C22⋊C4—28no—
1716C22⋊C4—28no—
1717C22⋊C4—24no—
1718C22⋊C4—22no—
1719C22⋊C4—24no—
1720C22⋊C4—24no—
1721C22⋊C4—22no—
1722C22⋊C4—22no—
1723C22⋊C4—28no—
1724C22⋊C4—24no—
1725C22⋊C4—28no—
1726C22⋊C4—28no—
1727C22⋊C4—24no—
1728C22⋊C4—24no—
1729C22⋊C4—24no—
1730C22⋊C4—24no—
1731C22⋊C4—28no—
1732C22⋊C4—24no—
1733C22⋊C4—24no—
1734C22⋊C4—42no—
1735C22⋊C4—42no—
1736C22⋊C4—42no—
1737C22⋊C4—42no—
1738C22⋊C4—42no—
1739C22⋊C4—44no—
1740C22⋊C4—44no—
1741C22⋊C4—44no—
1742C22⋊C4—44no—
1743C22⋊C4—44no—
1744C22⋊C4—44no—
1745C22⋊C4—44no—
1746C22⋊C4—44no—
1747C22⋊C4—44no—
1748C22⋊C4—44no—
1749C22⋊C4—44no—
1750C22⋊C4—42no—
1751C22⋊C4—42no—
1752C22⋊C4—44no—
1753C22⋊C4—42no—
1754C22⋊C4—42no—
1755C22⋊C4—42no—
1756C22⋊C4—44no—
1757C22⋊C4—41no—
1758C22⋊C4—42no—
1759C22⋊C4—42no—
1760C22⋊C4—42no—
1761C22⋊C4—44no—
1762C22⋊C4—44no—
1763C22⋊C4—44no—
1764C22⋊C4—44no—
1765C22⋊C4—44no—
1766C22⋊C4—44no—
1767C22⋊C4—42no—
1768C22⋊C4—44no—
1769C22⋊C4C22×D418yes—
1770C22⋊C4C22×D4116yes—
1771C22⋊C4C22×D418yes—
1772C42—22no—
1773C42—22no—
1774C42—22no—
1775C42—22no—
1776C42—22no—
1777C42—22no—
1778C42—28no—
1779C42—28no—
1780C42—24no—
1781C42—22no—
1782C42—24no—
1783C42—24no—
1784C42—24no—
1785C42—22no—
1786C42—24no—
1787C42—22no—
1788C42—42no—
1789C42—42no—
1790C42—44no—
1791C42—44no—
1792C42—44no—
1793C42—41no—
1794C42—41no—
1795C42C22×D414yes—
1796C42H(5,𝔽2)14yescomplemented
1797C23—22no—
1798C23—22no—
1799C23—22no—
1800C23—22no—
1801C23—21no—
1802C23—22no—
1803C23—21no—
1804C23—21no—
1805C23—22no—
1806C23—21no—
1807C23—22no—
1808C23—22no—
1809C23—21no—
1810C23—21no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—21no—
1815C23—21no—
1816C23—21no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—21no—
1821C23—21no—
1822C23—22no—
1823C23—21no—
1824C23—22no—
1825C23—216no—
1826C23—22no—
1827C23—24no—
1828C23—22no—
1829C23—22no—
1830C23—24no—
1831C23—22no—
1832C23—22no—
1833C23—24no—
1834C23—24no—
1835C23—22no—
1836C23—22no—
1837C23—22no—
1838C23—22no—
1839C23—22no—
1840C23—24no—
1841C23—24no—
1842C23—22no—
1843C23—22no—
1844C23—22no—
1845C23—22no—
1846C23—24no—
1847C23—48no—
1848C23—48no—
1849C23—48no—
1850C23—48no—
1851C23—48no—
1852C23—416no—
1853C23—48no—
1854C23—416no—
1855C23—84no—
1856C23—84no—
1857C23—84no—
1858C23—84no—
1859C23—84no—
1860C23—84no—
1861C23—84no—
1862C23—88no—
1863C23—88no—
1864C23—88no—
1865C23—88no—
1866C23—88no—
1867C23—88no—
1868C23—88no—
1869C23—88no—
1870C23—88no—
1871C23—88no—
1872C23—164no—
1873C23—164no—
1874C23C23×D414yes—
1875C23C23×D414yes—
1876C23C22×#4114yes—
1877C23C22×#4112yes—
1878C23C22×#4114yes—
1879C23C2×H(5,𝔽2)14yes—
1880C23#58512yes—
1881C23C2611yescharacteristic
1882Q8—216no—
1883Q8—48no—
1884Q8—44no—
1885Q8—48no—
1886Q8—88no—
1887D4—28no—
1888D4—216no—
1889D4—232no—
1890D4—28no—
1891D4—28no—
1892D4—48no—
1893D4—48no—
1894D4—416no—
1895D4—48no—
1896D4—416no—
1897D4—416no—
1898D4—48no—
1899D4—48no—
1900D4—48no—
1901D4—48no—
1902D4—48no—
1903D4—48no—
1904D4—416no—
1905D4—44no—
1906D4—48no—
1907D4—44no—
1908D4—48no—
1909D4—84no—
1910D4—88no—
1911D4—88no—
1912D4—84no—
1913D4—84no—
1914D4—88no—
1915D4—88no—
1916D4—88no—
1917D4—88no—
1918D4—164no—
1919D4#546116yescomplemented
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—22no—
1923C2×C4—24no—
1924C2×C4—22no—
1925C2×C4—21no—
1926C2×C4—22no—
1927C2×C4—22no—
1928C2×C4—24no—
1929C2×C4—22no—
1930C2×C4—21no—
1931C2×C4—21no—
1932C2×C4—21no—
1933C2×C4—22no—
1934C2×C4—21no—
1935C2×C4—21no—
1936C2×C4—232no—
1937C2×C4—216no—
1938C2×C4—28no—
1939C2×C4—216no—
1940C2×C4—21no—
1941C2×C4—22no—
1942C2×C4—21no—
1943C2×C4—21no—
1944C2×C4—21no—
1945C2×C4—21no—
1946C2×C4—22no—
1947C2×C4—22no—
1948C2×C4—24no—
1949C2×C4—22no—
1950C2×C4—22no—
1951C2×C4—21no—
1952C2×C4—22no—
1953C2×C4—21no—
1954C2×C4—22no—
1955C2×C4—22no—
1956C2×C4—22no—
1957C2×C4—21no—
1958C2×C4—22no—
1959C2×C4—21no—
1960C2×C4—21no—
1961C2×C4—22no—
1962C2×C4—24no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—24no—
1967C2×C4—22no—
1968C2×C4—22no—
1969C2×C4—24no—
1970C2×C4—21no—
1971C2×C4—21no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—21no—
1975C2×C4—24no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—21no—
1979C2×C4—21no—
1980C2×C4—21no—
1981C2×C4—21no—
1982C2×C4—22no—
1983C2×C4—22no—
1984C2×C4—24no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—21no—
1990C2×C4—22no—
1991C2×C4—416no—
1992C2×C4—44no—
1993C2×C4—48no—
1994C2×C4—48no—
1995C2×C4—416no—
1996C2×C4—416no—
1997C2×C4—44no—
1998C2×C4—48no—
1999C2×C4—44no—
2000C2×C4—44no—
2001C2×C4—48no—
2002C2×C4—48no—
2003C2×C4—82no—
2004C2×C4—84no—
2005C2×C4—84no—
2006C2×C4—84no—
2007C2×C4—84no—
2008C2×C4—84no—
2009C2×C4—84no—
2010C2×C4—84no—
2011C2×C4—84no—
2012C2×C4—88no—
2013C2×C4—88no—
2014C2×C4C23×D412yes—
2015C2×C4C23×D418yes—
2016C2×C4C23×D414yes—
2017C2×C4C23×D414yes—
2018C2×C4C23×D412yes—
2019C2×C4C23×D412yes—
2020C2×C4C22×#4112yes—
2021C2×C4C22×#4112yes—
2022C2×C4C2×H(5,𝔽2)12yes—
2023C2×C4C2×H(5,𝔽2)12yes—
2024C2×C4C2×H(5,𝔽2)14yes—
2025C2×C4C2×H(5,𝔽2)12yes—
2026C2×C4C2×H(5,𝔽2)12yes—
2027C2×C4C2×H(5,𝔽2)12yes—
2028C22—24no—
2029C22—24no—
2030C22—24no—
2031C22—24no—
2032C22—24no—
2033C22—24no—
2034C22—24no—
2035C22—22no—
2036C22—22no—
2037C22—24no—
2038C22—22no—
2039C22—22no—
2040C22—22no—
2041C22—24no—
2042C22—24no—
2043C22—24no—
2044C22—22no—
2045C22—24no—
2046C22—41no—
2047C22—42no—
2048C22—41no—
2049C22—42no—
2050C22—42no—
2051C22—41no—
2052C22—42no—
2053C22—42no—
2054C22—41no—
2055C22—41no—
2056C22—42no—
2057C22—42no—
2058C22—41no—
2059C22—41no—
2060C22—42no—
2061C22—41no—
2062C22—42no—
2063C22—44no—
2064C22—42no—
2065C22—44no—
2066C22—42no—
2067C22—42no—
2068C22—42no—
2069C22—42no—
2070C22—44no—
2071C22—42no—
2072C22—42no—
2073C22—44no—
2074C22—42no—
2075C22—42no—
2076C22—44no—
2077C22—42no—
2078C22—44no—
2079C22—42no—
2080C22—44no—
2081C22—42no—
2082C22—42no—
2083C22—816no—
2084C22—816no—
2085C22—1616no—
2086C22—1616no—
2087C22C2×#54618yes—
2088C22C24×D411yescharacteristic
2089C22C23×#4111yescharacteristic
2090C22C22×H(5,𝔽2)11yescharacteristic
2091C22C22×H(5,𝔽2)11yescharacteristic
2092C22C22×H(5,𝔽2)11yescharacteristic
2093C22C2×#58511yescharacteristic
2094C222−1+611yescharacteristic
2095C4—22no—
2096C4—24no—
2097C4—22no—
2098C4—24no—
2099C4—22no—
2100C4—24no—
2101C4—22no—
2102C4—28no—
2103C4—41no—
2104C4—41no—
2105C4—41no—
2106C4—42no—
2107C4—44no—
2108C4—41no—
2109C4—42no—
2110C4—41no—
2111C4—41no—
2112C4—42no—
2113C4—42no—
2114C4—44no—
2115C4—42no—
2116C4—42no—
2117C4—42no—
2118C4—42no—
2119C4—41no—
2120C4C2×#54614yes—
2121C4#349814yes—
2122C2—28no—
2123C2—42no—
2124C2—42no—
2125C2—44no—
2126C2—44no—
2127C2—82no—
2128C2—82no—
2129C2—84no—
2130C2C22×#54611yescharacteristic
2131C2#6277311yescharacteristic
2132C2C2×#349811yescharacteristic
2133C2#6291411yescharacteristic
2134C2#6298411yescharacteristic
2135C2#6300211yescharacteristic
2136C2#6301211yescharacteristic
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×#3520C2semidirect
2. C2×#3496C2semidirect
3. #59800C2semidirect
4. #59650C2semidirect
5. #59410C2semidirect
6. #59131C2semidirect
7. #59049C2semidirect
8. #59040C2semidirect
9. #59004C2semidirect
10. #58996C2semidirect
11. #45018C2semidirect
12. #44915C2semidirect
13. #44022C2semidirect
14. #43932C2semidirect
15. #39471C2semidirect
16. #39467C2semidirect
17. #39433C2semidirect
18. #39430C2semidirect
19. #38910C2semidirect
20. #38905C2semidirect
21. #36424C2semidirect
22. #36260C2semidirect
23. #36258C2semidirect
24. #36150C2semidirect
25. D4×#124C2semidirect
26. #36096C2semidirect
27. D4×C22⋊Q8C2semidirect
28. D4×#121C2semidirect
29. #35987C2semidirect
30. #35680C2semidirect
31. #34889C2semidirect
32. C2×#2540C2semidirect
33. #34258C2semidirect
34. C4×#547C2semidirect
35. C4×D42C2semidirect
39. C2×#556C22semidirect
40. C2×#554C22semidirect
41. C2×#552C22semidirect
42. C2×#551C22semidirect
43. C2×D4×Q8C22semidirect
44. C2×#548C22semidirect
46. C2×#547C22semidirect
47. C2×#547C22semidirect
48. C2×#547C22semidirect
50. C2×#546C22semidirect
51. C2×#546C22semidirect
52. C2×#546C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
57. C2×D42C22semidirect
58. C2×D42C22semidirect
59. C2×D42C22semidirect
60. C2×#542C22semidirect
61. C2×#539C22semidirect
62. C2×#537C22semidirect
63. C2×#534C22semidirect
64. C2×#533C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
67. C2×#529C22semidirect
68. C22×#124C22semidirect
69. C2×#525C22semidirect
70. C22×C22⋊Q8C22semidirect
71. C22×C22⋊Q8C22semidirect
72. C22×#121C22semidirect
73. C22×#121C22semidirect
74. C22×#121C22semidirect
75. C2×#520C22semidirect
76. C2×C4×#41C22semidirect
78. C22×C4×D4C22semidirect
79. C22×C4×D4C22semidirect
80. #2858C22semidirect
81. #2857C22semidirect
82. #2856C22semidirect
83. #2856C22semidirect
84. #2854C22semidirect
85. #2850C22semidirect
86. #2848C22semidirect
87. #2847C22semidirect
88. #2714C22semidirect
89. #2714C22semidirect
90. #2714C22semidirect
91. #2711C22semidirect
92. #2711C22semidirect
93. #2710C22semidirect
94. #2705C22semidirect
95. #2703C22semidirect
96. #2696C22semidirect
97. #2696C22semidirect
98. #2694C22semidirect
99. #2692C22semidirect
100. #2692C22semidirect
101. #2685C22semidirect
102. #2681C22semidirect
103. #2678C22semidirect
104. #2678C22semidirect
105. #2676C22semidirect
106. #2672C22semidirect
107. #2671C22semidirect
108. #2670C22semidirect
109. #2624C22semidirect
110. #2623C22semidirect
111. #2615C22semidirect
112. #2613C22semidirect
113. #2560C22semidirect
114. #2559C22semidirect
115. #2558C22semidirect
116. #2557C22semidirect
117. #2556C22semidirect
118. #2555C22semidirect
119. #2554C22semidirect
120. #2554C22semidirect
121. #2550C22semidirect
122. #2548C22semidirect
123. #2548C22semidirect
124. #2547C22semidirect
125. #2544C22semidirect
126. #2542C22semidirect
127. #2541C22semidirect
128. #2540C22semidirect
129. #2540C22semidirect
130. #2540C22semidirect
131. #2540C22semidirect
132. #2540C22semidirect
133. #2540C22semidirect
134. #2540C22semidirect
135. #2540C22semidirect
136. #2540C22semidirect
137. #2540C22semidirect
138. #2540C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2539C22semidirect
142. #2539C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2537C22semidirect
146. #2535C22semidirect
147. #2521C22semidirect
148. #2501C22semidirect
149. #2498C22semidirect
150. #2492C22semidirect
151. #2492C22semidirect
152. #2491C22semidirect
153. #2491C22semidirect
154. #2490C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
157. #2487C22semidirect
158. #2482C22semidirect
159. #2472C22semidirect
160. #2472C22semidirect
161. #2472C22semidirect
162. #2472C22semidirect
163. #2471C22semidirect
164. #2467C22semidirect
165. #2464C22semidirect
166. #2464C22semidirect
167. #2464C22semidirect
168. #2456C22semidirect
169. #2454C22semidirect
170. #2452C22semidirect
171. #2449C22semidirect
172. #2448C22semidirect
173. #2448C22semidirect
174. #2443C22semidirect
175. #2443C22semidirect
176. #2440C22semidirect
177. #2437C22semidirect
178. #2437C22semidirect
179. #2436C22semidirect
180. #2435C22semidirect
181. #2435C22semidirect
182. #2433C22semidirect
183. #2431C22semidirect
184. #2431C22semidirect
185. #2431C22semidirect
186. #2430C22semidirect
187. #2428C22semidirect
188. #2428C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2427C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2426C22semidirect
195. #2426C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2424C22semidirect
200. #2423C22semidirect
201. #2423C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2417C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2414C22semidirect
215. #2414C22semidirect
216. #2411C22semidirect
217. #2411C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2410C22semidirect
221. #2409C22semidirect
222. #2408C22semidirect
223. #2408C22semidirect
224. #2408C22semidirect
225. #2408C22semidirect
226. #2407C22semidirect
227. #2407C22semidirect
228. #2407C22semidirect
229. #2404C22semidirect
230. #2403C22semidirect
231. #2403C22semidirect
232. #2395C22semidirect
233. C2×#399C22semidirect
234. #2388C22semidirect
235. C2×#392C22semidirect
236. #2367C22semidirect
237. #2366C22semidirect
238. #2365C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2362C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
244. #2361C22semidirect
245. #2361C22semidirect
246. #2360C22semidirect
247. #2359C22semidirect
248. #2358C22semidirect
249. #2358C22semidirect
250. #2358C22semidirect
251. #2354C22semidirect
252. #2352C22semidirect
253. D4×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
255. D4×C4⋊C4C22semidirect
256. D4×C4⋊C4C22semidirect
257. #2344C22semidirect
258. #2341C22semidirect
259. #2341C22semidirect
260. #2341C22semidirect
261. #2341C22semidirect
262. #2339C22semidirect
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. D4×C22⋊C4C22semidirect
272. D4×C22⋊C4C22semidirect
273. D4×C22⋊C4C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. #2309C22semidirect
277. #2309C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#127C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
284. C4×#121C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#120C22semidirect
291. C4×#120C22semidirect
292. #2297C22semidirect
293. #2297C22semidirect
294. C2×#390C22semidirect
295. C2×#390C22semidirect
296. C2×#390C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C4⋊C4C22semidirect
333. #547D4semidirect
919. C22×D4#41semidirect
989. C4⋊Q8C2×D4semidirect
1021. #123C2×D4semidirect
1041. C22⋊Q8C2×D4semidirect
1077. #121C2×D4semidirect
1135. C4×D4C2×D4semidirect
1150. C2×C4⋊C4C2×D4semidirect
1688. C4⋊C4H(5,𝔽2)semidirect
1796. C42H(5,𝔽2)semidirect
1919. D4#546semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#34962
#598002
#596502
#594102
#591312
#590492
#590402
#590042
#589962
#450182
#449152
#440222
#439322
#394712
#394672
#394332
#394302
#389102
#389052
#364242
#362602
#362582
#361502
D4×#1242
#360962
D4×C22⋊Q82
D4×#1212
#359872
#356802
#348892
C2×#25402
#342582
C4×#5472
C4×D422