Finite Group Databasebeta

← D11×#3545 #15661520

Subgroups — D11×#3545 #15661520

Order 2816.

7430 conjugacy classes of subgroups.

The subgroup lattice has 2234 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082974C211yesmaximal, characteristic, complemented
2#13082973C211yesmaximal, characteristic, complemented
3#13082972C214yesmaximal, complemented
4#13082971C211yesmaximal, characteristic, complemented
5#13082970C212yesmaximal, complemented
6#13082969C212yesmaximal, complemented
7#13082968C212yesmaximal, complemented
8#13082967C214yesmaximal, complemented
9#13082966C212yesmaximal, complemented
10#13082965C212yesmaximal, complemented
11#13082964C214yesmaximal, complemented
12#13082963C214yesmaximal, complemented
13#13082962C212yesmaximal, complemented
14D11×#563C211yesmaximal, characteristic, complemented
15D11×#562C212yesmaximal, complemented
16D11×H(3,𝔽4)C211yesmaximal, characteristic, complemented
17D11×#555C212yesmaximal, complemented
18D11×#551C212yesmaximal, complemented
19D11×#551C214yesmaximal, complemented
20D11×#546C214yesmaximal, complemented
21D11×#542C214yesmaximal, complemented
22D11×#538C214yesmaximal, complemented
23D11×#536C212yesmaximal, complemented
24D11×#534C212yesmaximal, complemented
25D11×#529C212yesmaximal, complemented
26C2×D11×#124C211yesmaximal, characteristic, complemented
27C11×#3545C211yesmaximal, characteristic, complemented
28C2×#41×D11C2212yes—
29C22×Q8×D11C2211yescharacteristic, complemented
30C22×D4×D11C2211yescharacteristic
31C22×D4×D11C2212yescomplemented
32C11×#563C2211yescharacteristic, complemented
33C11×#562C2212yescomplemented
34C11×H(3,𝔽4)C2211yescharacteristic, complemented
35C11×#555C2212yescomplemented
36C11×#551C2212yescomplemented
37C11×#551C2214yescomplemented
38C11×#546C2214yescomplemented
39C11×#542C2214yescomplemented
40C11×#538C2214yescomplemented
41C11×#536C2212yescomplemented
42C11×#534C2212yescomplemented
43C11×#529C2212yescomplemented
44C2×C11×#124C2211yescharacteristic, complemented
45#10623360C2214yescomplemented
46#10623356C2212yescomplemented
47#10623347C2212yescomplemented
48C2×#67000C2211yescharacteristic, complemented
49#10623337C2214yescomplemented
50#10623335C2212yescomplemented
51#10623335C2212yescomplemented
52C2×#66989C2211yescharacteristic, complemented
53#10623266C2212yescomplemented
54#10623265C2212yescomplemented
55#10623264C2214yescomplemented
56#10623255C2212yescomplemented
57#10623255C2212yescomplemented
58D11×C4⋊Q8C2212yescomplemented
59D11×C4⋊Q8C2212yescomplemented
60#10623243C2214yescomplemented
61#10623241C2214yescomplemented
62#10623241C2214yescomplemented
63#10623237C2214yescomplemented
64#10623236C2214yescomplemented
65#10623236C2214yescomplemented
66#10623236C2214yescomplemented
67#10623235C2214yescomplemented
68#10623235C2214yescomplemented
69D11×#126C2214yescomplemented
70D11×#126C2214yescomplemented
71D11×#126C2214yescomplemented
72#10623231C2212yescomplemented
73#10623230C2212yescomplemented
74#10623222C2212yescomplemented
75D11×#125C2212yescomplemented
76#10623215C2212yescomplemented
77#10623215C2212yescomplemented
78#10623214C2212yescomplemented
79#10623214C2212yescomplemented
80#10623214C2214yescomplemented
81#10623214C2211yescharacteristic, complemented
82#10623213C2214yescomplemented
83#10623211C2212yescomplemented
84#10623210C2212yescomplemented
85#10623210C2214yescomplemented
86#10623209C2214yescomplemented
87#10623209C2214yescomplemented
88#10623207C2214yescomplemented
89#10623206C2212yescomplemented
90#10623206C2212yescomplemented
91D11×#124C2211yescharacteristic
92D11×#124C2211yescharacteristic
93D11×#124C2211yescharacteristic, complemented
94D11×#124C2214yescomplemented
95D11×#124C2211yescharacteristic, complemented
96D11×#124C2212yescomplemented
97D11×#124C2212yescomplemented
98D11×#124C2214yescomplemented
99D11×#124C2212yescomplemented
100D11×#124C2214yescomplemented
101D11×#124C2211yescharacteristic, complemented
102D11×#124C2211yescharacteristic, complemented
103D11×#124C2214yescomplemented
104D11×#124C2211yescharacteristic, complemented
105D11×#124C2211yescharacteristic, complemented
106#10623203C2211yescharacteristic, complemented
107#10623201C2212yescomplemented
108#10623201C2214yescomplemented
109#10623201C2212yescomplemented
110#10623200C2214yescomplemented
111#10623200C2214yescomplemented
112#10623198C2214yescomplemented
113#10623198C2214yescomplemented
114#10623193C2214yescomplemented
115#10623193C2214yescomplemented
116#10623190C2212yescomplemented
117#10623190C2214yescomplemented
118#10623189C2214yescomplemented
119#10623189C2214yescomplemented
120#10623189C2214yescomplemented
121#10623188C2214yescomplemented
122#10623188C2214yescomplemented
123#10623185C2214yescomplemented
124#10623185C2214yescomplemented
125#10623184C2212yescomplemented
126#10623184C2212yescomplemented
127#10623184C2214yescomplemented
128D11×#123C2212yes—
129D11×#123C2214yescomplemented
130D11×#123C2212yescomplemented
131D11×#123C2214yescomplemented
132D11×#123C2214yescomplemented
133D11×#123C2214yescomplemented
134D11×#123C2214yescomplemented
135#10623182C2212yescomplemented
136#10623180C2214yescomplemented
137#10623179C2214yescomplemented
138#10623179C2214yescomplemented
139#10623178C2214yescomplemented
140#10623178C2214yescomplemented
141#10623177C2214yescomplemented
142#10623175C2214yescomplemented
143#10623174C2214yescomplemented
144#10623171C2214yescomplemented
145#10623171C2214yescomplemented
146#10623168C2214yescomplemented
147#10623168C2214yescomplemented
148#10623168C2214yescomplemented
149#10623161C2214yescomplemented
150#10623159C2214yescomplemented
151#10623159C2214yescomplemented
152D11×C22⋊Q8C2212yescomplemented
153D11×C22⋊Q8C2214yescomplemented
154D11×C22⋊Q8C2214yescomplemented
155D11×C22⋊Q8C2214yescomplemented
156D11×C22⋊Q8C2214yescomplemented
157#10623155C2212yescomplemented
158#10623152C2214yescomplemented
159#10623152C2214yescomplemented
160#10623148C2214yescomplemented
161#10623147C2214yescomplemented
162#10623147C2214yescomplemented
163#10623144C2214yescomplemented
164#10623144C2214yescomplemented
165#10623143C2214yescomplemented
166#10623141C2214yescomplemented
167#10623141C2214yescomplemented
168#10623136C2214yescomplemented
169#10623136C2214yescomplemented
170D11×#121C2212yes—
171D11×#121C2214yes—
172D11×#121C2214yescomplemented
173D11×#121C2214yescomplemented
174D11×#121C2214yescomplemented
175#10623134C2214yescomplemented
176#10623131C2212yescomplemented
177#10623125C2214yescomplemented
178#10623125C2212yescomplemented
179#10623124C2214yescomplemented
180#10623124C2214yescomplemented
181#10623122C2214yescomplemented
182#10623122C2214yescomplemented
183#10623120C2214yescomplemented
184#10623120C2212yescomplemented
185#10623120C2212yescomplemented
186D11×#120C2212yes—
187D11×#120C2214yes—
188D11×#120C2212yescomplemented
189D11×#120C2214yescomplemented
190#10623118C2212yescomplemented
191#10623118C2214yescomplemented
192#10623113C2214yescomplemented
193#10623111C2212yescomplemented
194C4×Q8×D11C2212yescomplemented
195#10623094C2214yescomplemented
196#10623092C2214yescomplemented
197#10623091C2214yescomplemented
198#10623091C2214yescomplemented
199#10623088C2212yescomplemented
200#10623087C2214yescomplemented
201#10623087C2214yescomplemented
202#10623087C2214yescomplemented
203#10623085C2214yescomplemented
204#10623081C2214yescomplemented
205C4×D4×D11C2212yescomplemented
206C4×D4×D11C2214yescomplemented
207C4×D4×D11C2214yescomplemented
208C4×D4×D11C2214yescomplemented
209#10623069C2214yescomplemented
210#10623065C2214yescomplemented
211#10623063C2214yescomplemented
212#10623063C2214yescomplemented
213#10623059C2214yescomplemented
214#10623058C2214yescomplemented
215#10623058C2214yescomplemented
216#10623058C2214yescomplemented
217#10623057C2212yescomplemented
218D11×#117C2214yescomplemented
219D11×#117C2214yescomplemented
220D11×#117C2212yescomplemented
221#10623026C2214yescomplemented
222#10623026C2214yescomplemented
223#10623026C2214yescomplemented
224#10623025C2214yescomplemented
225#10623024C2212yescomplemented
226C2×#66938C2214yescomplemented
227#10623021C2214yescomplemented
228#10623021C2214yescomplemented
229C2×C22⋊C4×D11C2214yescomplemented
230C2×C22⋊C4×D11C2212yescomplemented
231C2×C22⋊C4×D11C2214yescomplemented
232#10623010C2212yescomplemented
233C2×#66928C2211yescharacteristic, complemented
234C2×C42×D11C2211yescharacteristic, complemented
235C24×D11C2312yes—
236C24×D11C2312yes—
237C2×C11×#41C2312yes—
238C22×Q8×C11C2311yescharacteristic, complemented
239C22×D4×C11C2311yescharacteristic
240C22×D4×C11C2312yescomplemented
241C22×C22⋊D11C2312yes—
242C22×C22⋊D11C2312yescomplemented
243C22×C22⋊D11C2312yescomplemented
244#41×D11—48no—
245C2×#4343C2312yes—
246C2×Q8×D11—44no—
247C2×Q8×D11C2312yes—
248C2×Q8×D11C2311yescharacteristic
249C2×Q8×D11C2312yes—
250C2×Q8×D11C2312yes—
251C2×Q8×D11C2311yescharacteristic
252C2×Q8×D11C2311yescharacteristic, complemented
253C2×Q8×D11C2312yescomplemented
254C2×Q8×D11C2311yescharacteristic, complemented
255C2×#4341C2314yes—
256C2×#4341C2312yes—
257C2×D4×D11—44no—
258C2×D4×D11—48no—
259C2×D4×D11C2314yes—
260C2×D4×D11C2314yes—
261C2×D4×D11C2314yes—
262C2×D4×D11C2312yes—
263C2×D4×D11C2311yescharacteristic
264C2×D4×D11C2312yes—
265C2×D4×D11C2312yes—
266C2×D4×D11C2311yescharacteristic
267C2×D4×D11C2312yes—
268C2×D4×D11C2314yes—
269C2×D4×D11C2311yescharacteristic
270C2×D4×D11C2311yescharacteristic
271C2×D4×D11C2314yescomplemented
272C2×D4×D11C2314yescomplemented
273C2×#4339C2312yes—
274C2×#4339C2314yes—
275C22×D44C2311yescharacteristic
276C22×D44C2312yescomplemented
277C22×C4×D11C2311yescharacteristic
278C22×C4×D11C2312yes—
279C22×C4×D11C2312yes—
280C22×C4×D11C2314yes—
281C22×C4×D11C2314yes—
282C22×C4×D11C2314yes—
283C22×C4×D11C2312yes—
284C22×Dic22C2311yescharacteristic, complemented
285C22×Dic22C2312yescomplemented
286C11×C4⋊Q8C2312yescomplemented
287C11×C4⋊Q8C2312yescomplemented
288C11×#126C2314yescomplemented
289C11×#126C2314yescomplemented
290C11×#126C2314yescomplemented
291C11×#125C2312yescomplemented
292C11×#124C2311yescharacteristic
293C11×#124C2311yescharacteristic
294C11×#124C2314yescomplemented
295C11×#124C2311yescharacteristic, complemented
296C11×#124C2311yescharacteristic, complemented
297C11×#124C2312yescomplemented
298C11×#124C2312yescomplemented
299C11×#124C2312yescomplemented
300C11×#124C2314yescomplemented
301C11×#124C2314yescomplemented
302C11×#123C2312yes—
303C11×#123C2314yescomplemented
304C11×#123C2312yescomplemented
305C11×#123C2314yescomplemented
306C11×#123C2314yescomplemented
307C11×#123C2314yescomplemented
308C11×#123C2314yescomplemented
309C11×C22⋊Q8C2312yescomplemented
310C11×C22⋊Q8C2314yescomplemented
311C11×C22⋊Q8C2314yescomplemented
312C11×C22⋊Q8C2314yescomplemented
313C11×C22⋊Q8C2314yescomplemented
314C11×#121C2312yes—
315C11×#121C2314yes—
316C11×#121C2314yescomplemented
317C11×#121C2314yescomplemented
318C11×#121C2314yescomplemented
319C11×#120C2314yes—
320C11×#120C2312yes—
321C11×#120C2312yescomplemented
322C11×#120C2314yescomplemented
323C4×Q8×C11C2312yescomplemented
324C4×D4×C11C2314yescomplemented
325C4×D4×C11C2314yescomplemented
326C4×D4×C11C2314yescomplemented
327C4×D4×C11C2312yescomplemented
328C11×#117C2312yescomplemented
329C11×#117C2314yescomplemented
330C11×#117C2314yescomplemented
331C2×C11×C22⋊C4C2314yescomplemented
332C2×C11×C22⋊C4C2314yescomplemented
333C2×C11×C22⋊C4C2312yescomplemented
334C2×C42×C11C2311yescharacteristic, complemented
335#67006C2314yes—
336#67006C2312yes—
337#67006C2314yescomplemented
338#67006C2312yescomplemented
339C2×C22⋊Dic11C2314yescomplemented
340C2×C22⋊Dic11C2312yescomplemented
341C2×C22⋊Dic11C2314yescomplemented
342#67000C2311yescharacteristic
343#67000C2311yescharacteristic
344#67000C2312yescomplemented
345#67000C2312yescomplemented
346#67000C2314yescomplemented
347#67000C2314yescomplemented
348#67000C2311yescharacteristic, complemented
349#67000C2311yescharacteristic, complemented
350#67000C2312yescomplemented
351#67000C2314yescomplemented
352#66999C2314yescomplemented
353#66999C2314yescomplemented
354#66999C2314yescomplemented
355#66999C2312yescomplemented
356#66999C2314yescomplemented
357Q8×Dic11C2312yescomplemented
358#66997C2312yescomplemented
359#66997C2312yescomplemented
360#66997C2312yescomplemented
361#66997C2312yescomplemented
362#66992C2314yes—
363#66992C2314yes—
364#66992C2314yes—
365#66992C2314yescomplemented
366#66992C2314yescomplemented
367#66992C2314yescomplemented
368#66992C2314yescomplemented
369#66992C2314yescomplemented
370#66992C2314yescomplemented
371#66991C2312yes—
372#66991C2314yes—
373#66991C2314yescomplemented
374#66991C2314yescomplemented
375#66991C2314yescomplemented
376#66990C2314yes—
377#66990C2312yes—
378#66990C2314yes—
379#66990C2314yes—
380#66990C2314yes—
381#66990C2312yescomplemented
382#66990C2314yescomplemented
383#66990C2314yescomplemented
384#66990C2314yescomplemented
385#66990C2314yescomplemented
386#66989C2311yescharacteristic
387#66989C2311yescharacteristic
388#66989C2314yescomplemented
389#66989C2311yescharacteristic, complemented
390#66989C2311yescharacteristic, complemented
391#66989C2314yescomplemented
392#66989C2312yescomplemented
393#66989C2314yescomplemented
394#66989C2312yescomplemented
395#66989C2312yescomplemented
396#66988C2312yes—
397#66988C2314yescomplemented
398#66988C2312yescomplemented
399#66988C2314yescomplemented
400#66988C2314yescomplemented
401#66988C2314yescomplemented
402#66988C2314yescomplemented
403D4×Dic11C2314yescomplemented
404D4×Dic11C2314yescomplemented
405D4×Dic11C2314yescomplemented
406D4×Dic11C2312yescomplemented
407#66983C2312yes—
408#66983C2314yes—
409#66983C2314yescomplemented
410#66983C2314yescomplemented
411#66983C2314yescomplemented
412#66982C2312yes—
413#66982C2314yescomplemented
414#66982C2314yescomplemented
415#66982C2314yescomplemented
416#66982C2314yescomplemented
417#66982C2314yescomplemented
418#66982C2312yescomplemented
419C4×C22⋊D11C2314yescomplemented
420C4×C22⋊D11C2314yescomplemented
421C4×C22⋊D11C2314yescomplemented
422C4×C22⋊D11C2314yescomplemented
423C4×C22⋊D11C2314yescomplemented
424C4×C22⋊D11C2314yescomplemented
425C4×C22⋊D11C2314yescomplemented
426C2×(C2×D11)⋊C4C2314yescomplemented
427C2×(C2×D11)⋊C4C2314yescomplemented
428C2×(C2×D11)⋊C4C2314yescomplemented
429C2×(C2×D11)⋊C4C2314yescomplemented
430C2×(C2×D11)⋊C4C2314yescomplemented
431#66979C2312yescomplemented
432#66979C2314yescomplemented
433#66979C2314yescomplemented
434#66977C2312yescomplemented
435#66977C2314yescomplemented
436#66977C2314yescomplemented
437#66977C2314yescomplemented
438#66977C2314yescomplemented
439C2×C4×Dic11C2312yescomplemented
440C2×C4×Dic11C2311yescharacteristic, complemented
441#66951C2314yescomplemented
442#66951C2314yescomplemented
443#66951C2314yescomplemented
444#66951C2314yescomplemented
445#66951C2314yescomplemented
446#66951C2314yescomplemented
447#66951C2314yescomplemented
448#66951C2314yescomplemented
449#66951C2314yescomplemented
450#66950C2312yescomplemented
451#66950C2314yescomplemented
452#66950C2314yescomplemented
453#66950C2314yescomplemented
454#66950C2314yescomplemented
455#66949C2314yescomplemented
456#66949C2314yescomplemented
457#66949C2314yescomplemented
458#66949C2314yescomplemented
459#66949C2314yescomplemented
460#66949C2314yescomplemented
461#66949C2314yescomplemented
462#66949C2314yescomplemented
463#66949C2314yescomplemented
464#66948C2314yes—
465#66948C2312yes—
466#66948C2314yescomplemented
467#66948C2314yescomplemented
468#66948C2314yescomplemented
469#66947C2314yes—
470#66947C2314yescomplemented
471#66947C2314yescomplemented
472#66947C2314yescomplemented
473#66947C2314yescomplemented
474#66947C2314yescomplemented
475#66947C2314yescomplemented
476#66947C2314yescomplemented
477#66947C2314yescomplemented
478#66947C2314yescomplemented
479#66947C2314yescomplemented
480#66947C2314yescomplemented
481#66946C2312yescomplemented
482#66946C2314yescomplemented
483#66946C2314yescomplemented
484#66946C2314yescomplemented
485#66945C2314yescomplemented
486#66945C2314yescomplemented
487#66945C2314yescomplemented
488#66945C2314yescomplemented
489#66945C2314yescomplemented
490C4⋊C4×D11C2314yes—
491C4⋊C4×D11C2314yes—
492C4⋊C4×D11C2312yes—
493C4⋊C4×D11C2314yes—
494C4⋊C4×D11C2314yes—
495C4⋊C4×D11C2314yes—
496C4⋊C4×D11C2314yes—
497C4⋊C4×D11C2314yes—
498C4⋊C4×D11C2312yes—
499#66943C2312yescomplemented
500#66943C2312yescomplemented
501#66942C2314yescomplemented
502#66942C2314yescomplemented
503#66941C2314yescomplemented
504#66941C2314yescomplemented
505#66941C2314yescomplemented
506#66941C2314yescomplemented
507#66940C2314yescomplemented
508#66940C2312yescomplemented
509#66939C2312yes—
510#66939C2312yescomplemented
511#66939C2314yescomplemented
512#66939C2314yescomplemented
513#66939C2314yescomplemented
514#66939C2314yescomplemented
515#66939C2314yescomplemented
516#66938C2314yes—
517#66938C2314yes—
518#66938C2314yescomplemented
519#66938C2314yescomplemented
520#66938C2314yescomplemented
521#66938C2314yescomplemented
522#66938C2314yescomplemented
523#66938C2314yescomplemented
524#66938C2314yescomplemented
525#66938C2314yescomplemented
526#66938C2314yescomplemented
527#66938C2314yescomplemented
528#66938C2314yescomplemented
529#66938C2314yescomplemented
530#66938C2314yescomplemented
531#66938C2314yescomplemented
532#66938C2314yescomplemented
533#66938C2314yescomplemented
534#66938C2314yescomplemented
535#66938C2314yescomplemented
536#66938C2314yescomplemented
537#66938C2314yescomplemented
538#66937C2314yes—
539#66937C2314yes—
540#66937C2314yes—
541#66937C2314yescomplemented
542#66937C2314yescomplemented
543#66937C2314yescomplemented
544#66937C2314yescomplemented
545#66937C2314yescomplemented
546#66937C2314yescomplemented
547#66936C2314yes—
548#66936C2314yescomplemented
549#66936C2314yescomplemented
550#66936C2314yescomplemented
551#66936C2314yescomplemented
552#66936C2314yescomplemented
553#66936C2314yescomplemented
554#66936C2314yescomplemented
555#66936C2314yescomplemented
556#66936C2314yescomplemented
557#66936C2314yescomplemented
558#66936C2314yescomplemented
559#66935C2314yes—
560#66935C2312yes—
561#66935C2314yes—
562#66935C2314yes—
563#66935C2314yes—
564#66935C2312yescomplemented
565#66935C2314yescomplemented
566#66935C2314yescomplemented
567#66935C2314yescomplemented
568#66935C2314yescomplemented
569(C22⋊D11)⋊C4C2314yescomplemented
570(C22⋊D11)⋊C4C2314yescomplemented
571(C22⋊D11)⋊C4C2314yescomplemented
572(C22⋊D11)⋊C4C2314yescomplemented
573(C22⋊D11)⋊C4C2314yescomplemented
574(C22⋊D11)⋊C4C2314yescomplemented
575(C22⋊D11)⋊C4C2314yescomplemented
576C22⋊C4×D11C2314yes—
577C22⋊C4×D11C2312yes—
578C22⋊C4×D11C2312yes—
579C22⋊C4×D11C2314yes—
580C22⋊C4×D11C2314yes—
581C22⋊C4×D11C2314yes—
582C22⋊C4×D11C2314yes—
583C22⋊C4×D11C2314yes—
584C22⋊C4×D11C2314yes—
585C22⋊C4×D11C2314yes—
586C22⋊C4×D11C2314yes—
587C22⋊C4×D11C2314yes—
588C22⋊C4×D11C2314yes—
589C22⋊C4×D11C2314yes—
590C22⋊C4×D11C2314yes—
591C22⋊C4×D11C2314yescomplemented
592C22⋊C4×D11C2314yescomplemented
593C22⋊C4×D11C2312yescomplemented
594C22⋊C4×D11C2312yescomplemented
595C22⋊C4×D11C2314yescomplemented
596C22⋊C4×D11C2314yescomplemented
597C22⋊C4×D11C2314yescomplemented
598C22⋊C4×D11C2314yescomplemented
599C22⋊C4×D11C2314yescomplemented
600C22⋊C4×D11C2314yescomplemented
601C22⋊C4×D11C2314yescomplemented
602#66932C2314yescomplemented
603#66932C2314yescomplemented
604#66932C2314yescomplemented
605#66932C2314yescomplemented
606#66932C2314yescomplemented
607#66932C2314yescomplemented
608#66932C2314yescomplemented
609#66932C2314yescomplemented
610#66932C2314yescomplemented
611#66931C2314yescomplemented
612#66931C2314yescomplemented
613#66931C2314yescomplemented
614#66931C2314yescomplemented
615#66931C2314yescomplemented
616#66931C2314yescomplemented
617#66931C2314yescomplemented
618#66931C2314yescomplemented
619#66931C2314yescomplemented
620#66930C2314yescomplemented
621#66930C2314yescomplemented
622#66930C2314yescomplemented
623#66930C2314yescomplemented
624#66930C2314yescomplemented
625#66929C2314yescomplemented
626#66929C2314yescomplemented
627#66929C2314yescomplemented
628#66928C2311yescharacteristic
629#66928C2311yescharacteristic
630#66928C2312yescomplemented
631#66928C2314yescomplemented
632#66928C2314yescomplemented
633#66928C2312yescomplemented
634#66928C2311yescharacteristic, complemented
635#66928C2311yescharacteristic, complemented
636#66928C2314yescomplemented
637#66928C2312yescomplemented
638C4×D44C2312yescomplemented
639C4×D44C2314yescomplemented
640C4×D44C2314yescomplemented
641C4×D44C2314yescomplemented
642#66925C2312yescomplemented
643#66925C2314yescomplemented
644#66925C2314yescomplemented
645#66925C2312yescomplemented
646#66925C2314yescomplemented
647#66925C2314yescomplemented
648C42×D11C2312yes—
649C42×D11C2312yes—
650C42×D11C2314yes—
651C42×D11C2312yes—
652C42×D11C2311yescharacteristic
653C42×D11C2311yescharacteristic
654C42×D11C2312yescomplemented
655C42×D11C2311yescharacteristic, complemented
656C42×D11C2311yescharacteristic, complemented
657#66923C2312yescomplemented
658#66922C2312yescomplemented
659#66922C2312yescomplemented
660C4×Dic22C2312yescomplemented
661C4×Dic22C2314yescomplemented
662C2×#3545—111nomaximal, Sylow
663C24×C11C2412yes—
664C24×C11C2412yes—
665C23×D11—28no—
666C23×D11—44no—
667C23×D11—48no—
668C23×D11—48no—
669C23×D11C2412yes—
670C23×D11C2414yes—
671C23×D11C2412yes—
672C23×D11C2411yescharacteristic
673C23×D11C2412yes—
674C23×D11C2412yes—
675C23×D11C2412yes—
676C23×D11C2412yes—
677C23×D11C2414yes—
678C11×#41—44no—
679C2×Q8×C11—42no—
680C2×Q8×C11C2412yes—
681C2×Q8×C11C2411yescharacteristic
682C2×Q8×C11C2412yes—
683C2×Q8×C11C2412yes—
684C2×Q8×C11C2411yescharacteristic
685C2×D4×C11—42no—
686C2×D4×C11—44no—
687C2×D4×C11C2414yes—
688C2×D4×C11C2414yes—
689C2×D4×C11C2414yes—
690C2×D4×C11C2412yes—
691C2×D4×C11C2411yescharacteristic
692C2×D4×C11C2412yes—
693C2×D4×C11C2414yes—
694C2×D4×C11C2412yes—
695C2×D4×C11C2411yescharacteristic
696C22×C4×C11C2411yescharacteristic
697C22×C4×C11C2412yes—
698C22×C4×C11C2412yes—
699C22×C4×C11C2414yes—
700C22×C4×C11C2412yes—
701C22×C4×C11C2414yes—
702C22×C4×C11C2414yes—
703C2×C22⋊D11—44no—
704C2×C22⋊D11—44no—
705C2×C22⋊D11—44no—
706C2×C22⋊D11C2414yes—
707C2×C22⋊D11C2414yes—
708C2×C22⋊D11C2414yes—
709C2×C22⋊D11C2414yes—
710C2×C22⋊D11C2414yes—
711C2×C22⋊D11C2414yes—
712C2×C22⋊D11C2414yes—
713C2×C22⋊D11C2412yes—
714C2×C22⋊D11C2412yes—
715C2×C22⋊D11C2414yes—
716C2×C22⋊D11C2414yes—
717C2×C22⋊D11C2412yes—
718C2×C22⋊D11C2414yes—
719C2×C22⋊D11C2412yes—
720C22×Dic11C2412yes—
721C22×Dic11C2411yescharacteristic
722C22×Dic11C2414yes—
723C22×Dic11C2414yes—
724C22×Dic11C2412yes—
725C22×Dic11C2414yes—
726C22×Dic11C2412yes—
727#4343—44no—
728Q8×D11—42no—
729Q8×D11—44no—
730Q8×D11—42no—
731Q8×D11—42no—
732Q8×D11—44no—
733Q8×D11—42no—
734Q8×D11—44no—
735Q8×D11—44no—
736#4341—48no—
737#4341—44no—
738D4×D11—216no—
739D4×D11—48no—
740D4×D11—48no—
741D4×D11—42no—
742D4×D11—44no—
743D4×D11—42no—
744D4×D11—42no—
745D4×D11—44no—
746D4×D11—42no—
747D4×D11—48no—
748D4×D11—48no—
749D4×D11—44no—
750D4×D11—44no—
751D4×D11—48no—
752#4339—44no—
753#4339—48no—
754C2×D44—42no—
755C2×D44—44no—
756C2×D44C2414yes—
757C2×D44C2414yes—
758C2×D44C2412yes—
759C2×D44C2414yes—
760C2×D44C2411yescharacteristic
761C2×D44C2412yes—
762C2×D44C2412yes—
763C2×D44C2411yescharacteristic
764C2×D44C2414yes—
765C2×C4×D11—24no—
766C2×C4×D11—28no—
767C2×C4×D11—44no—
768C2×C4×D11—48no—
769C2×C4×D11—48no—
770C2×C4×D11—44no—
771C2×C4×D11—48no—
772C2×C4×D11C2412yes—
773C2×C4×D11C2412yes—
774C2×C4×D11C2414yes—
775C2×C4×D11C2412yes—
776C2×C4×D11C2411yescharacteristic
777C2×C4×D11C2411yescharacteristic
778C2×C4×D11C2414yes—
779C2×C4×D11C2414yes—
780C2×C4×D11C2411yescharacteristic
781C2×C4×D11C2411yescharacteristic
782C2×C4×D11C2412yes—
783C2×C4×D11C2412yes—
784C2×C4×D11C2412yes—
785C2×C4×D11C2412yes—
786C2×C4×D11C2412yes—
787C2×C4×D11C2414yes—
788C2×C4×D11C2414yes—
789C2×C4×D11C2414yes—
790C2×C4×D11C2414yes—
791C2×C4×D11C2414yes—
792C2×C4×D11C2414yes—
793C2×C4×D11C2414yes—
794C2×Dic22—42no—
795C2×Dic22—44no—
796C2×Dic22C2412yes—
797C2×Dic22C2414yes—
798C2×Dic22C2412yes—
799C2×Dic22C2412yes—
800C2×Dic22C2412yes—
801C2×Dic22C2411yescharacteristic
802C2×Dic22C2411yescharacteristic
803C2×Dic22C2412yes—
804C2×Dic22C2414yes—
805C2×Dic22C2412yes—
806C2×Dic22C2412yes—
807C11×C4⋊C4C2414yes—
808C11×C4⋊C4C2412yes—
809C11×C4⋊C4C2414yes—
810C11×C4⋊C4C2414yes—
811C11×C4⋊C4C2414yes—
812C11×C4⋊C4C2414yes—
813C11×C4⋊C4C2412yes—
814C11×C4⋊C4C2414yes—
815C11×C4⋊C4C2414yes—
816C11×C22⋊C4C2414yes—
817C11×C22⋊C4C2414yes—
818C11×C22⋊C4C2414yes—
819C11×C22⋊C4C2414yes—
820C11×C22⋊C4C2414yes—
821C11×C22⋊C4C2414yes—
822C11×C22⋊C4C2414yes—
823C11×C22⋊C4C2414yes—
824C11×C22⋊C4C2414yes—
825C11×C22⋊C4C2414yes—
826C11×C22⋊C4C2414yes—
827C11×C22⋊C4C2412yes—
828C11×C22⋊C4C2412yes—
829C11×C22⋊C4C2414yes—
830C11×C22⋊C4C2414yes—
831C42×C11C2412yes—
832C42×C11C2414yes—
833C42×C11C2412yes—
834C42×C11C2412yes—
835C42×C11C2411yescharacteristic
836C42×C11C2411yescharacteristic
837C22⋊Dic11C2414yes—
838C22⋊Dic11C2414yes—
839C22⋊Dic11C2414yes—
840C22⋊Dic11C2414yes—
841C22⋊Dic11C2414yes—
842C22⋊Dic11C2414yes—
843C22⋊Dic11C2414yes—
844C22⋊Dic11C2414yes—
845C22⋊Dic11C2414yes—
846C22⋊Dic11C2414yes—
847C22⋊Dic11C2414yes—
848C22⋊Dic11C2412yes—
849C22⋊Dic11C2412yes—
850C22⋊Dic11C2414yes—
851C22⋊Dic11C2414yes—
852(C2×D11)⋊C4C2414yes—
853(C2×D11)⋊C4C2414yes—
854(C2×D11)⋊C4C2414yes—
855(C2×D11)⋊C4C2414yes—
856(C2×D11)⋊C4C2414yes—
857(C2×D11)⋊C4C2414yes—
858(C2×D11)⋊C4C2414yes—
859(C2×D11)⋊C4C2414yes—
860(C2×D11)⋊C4C2414yes—
861(C2×D11)⋊C4C2414yes—
862(C2×D11)⋊C4C2414yes—
863(C2×D11)⋊C4C2414yes—
864(C2×D11)⋊C4C2414yes—
865(C2×D11)⋊C4C2414yes—
866(C2×D11)⋊C4C2414yes—
867(C2×D11)⋊C4C2414yes—
868(C2×D11)⋊C4C2414yes—
869(C2×D11)⋊C4C2414yes—
870(C2×D11)⋊C4C2414yes—
871(C2×D11)⋊C4C2414yes—
872(C2×D11)⋊C4C2414yes—
873(C2×D11)⋊C4C2414yes—
874(C2×D11)⋊C4C2414yes—
875(C2×D11)⋊C4C2414yes—
876(C2×D11)⋊C4C2414yes—
877(C2×D11)⋊C4C2414yes—
878(C2×D11)⋊C4C2414yes—
879(C2×D11)⋊C4C2414yes—
880C4⋊Dic11C2414yes—
881C4⋊Dic11C2412yes—
882C4⋊Dic11C2414yes—
883C4⋊Dic11C2414yes—
884C4⋊Dic11C2414yes—
885C4⋊Dic11C2412yes—
886C4⋊Dic11C2414yes—
887C4⋊Dic11C2414yes—
888C4⋊Dic11C2414yes—
889Dic11⋊C4C2414yes—
890Dic11⋊C4C2414yes—
891Dic11⋊C4C2414yes—
892Dic11⋊C4C2414yes—
893Dic11⋊C4C2414yes—
894Dic11⋊C4C2414yes—
895Dic11⋊C4C2414yes—
896Dic11⋊C4C2414yes—
897Dic11⋊C4C2414yes—
898Dic11⋊C4C2414yes—
899Dic11⋊C4C2414yes—
900Dic11⋊C4C2414yes—
901Dic11⋊C4C2414yes—
902Dic11⋊C4C2414yes—
903Dic11⋊C4C2414yes—
904Dic11⋊C4C2414yes—
905C4×Dic11C2412yes—
906C4×Dic11C2414yes—
907C4×Dic11C2412yes—
908C4×Dic11C2411yescharacteristic
909C4×Dic11C2412yes—
910C4×Dic11C2412yes—
911C4×Dic11C2412yes—
912C4×Dic11C2411yescharacteristic
913C4×Dic11C2414yes—
914C4×Dic11C2412yes—
915C4×Dic11C2414yes—
916C4×Dic11C2412yes—
917C4×Dic11C2414yes—
918C4×Dic11C2414yes—
919#3545—111no—
920#3545—112no—
921#3545—111no—
922#3545—112no—
923#3545—112no—
924#3545—114no—
925#3545—114no—
926#3545—114no—
927#3545—114no—
928#3545—112no—
929#3545—112no—
930#3545—112no—
931#3545—111no—
932#3545D1111yescharacteristic, direct product factor
933C2×#563—111no—
934C2×#562—112no—
935C2×H(3,𝔽4)—111no—
936C2×#555—112no—
937C2×#551—114no—
938C2×#551—112no—
939C2×#546—114no—
940C2×#542—114no—
941C2×#538—114no—
942C2×#536—112no—
943C2×#534—112no—
944C2×#529—112no—
945C22×#124—111no—
946C23×C11—24no—
947C23×C11—42no—
948C23×C11—44no—
949C23×C11—44no—
950C23×C11C2512yes—
951C23×C11C2514yes—
952C23×C11C2512yes—
953C23×C11C2511yescharacteristic
954C22×D11—24no—
955C22×D11—24no—
956C22×D11—28no—
957C22×D11—24no—
958C22×D11—24no—
959C22×D11—28no—
960C22×D11—28no—
961C22×D11—28no—
962C22×D11—28no—
963C22×D11—24no—
964C22×D11—24no—
965C22×D11—42no—
966C22×D11—44no—
967C22×D11—44no—
968C22×D11—44no—
969C22×D11—44no—
970C22×D11—44no—
971C22×D11—44no—
972C22×D11—44no—
973C22×D11—816no—
974C22×D11—816no—
975C22×D11H(5,𝔽2)14yes—
976C22×D11C2512yes—
977C22×D11C2512yes—
978C22×D11C2514yes—
979C22×D11C2511yescharacteristic
980C22×D11C2511yescharacteristic
981Q8×C11—41no—
982Q8×C11—42no—
983Q8×C11—41no—
984Q8×C11—42no—
985Q8×C11—42no—
986D4×C11—28no—
987D4×C11—41no—
988D4×C11—42no—
989D4×C11—41no—
990D4×C11—44no—
991D4×C11—42no—
992D4×C11—44no—
993D4×C11—44no—
994D4×C11—42no—
995C2×C4×C11—22no—
996C2×C4×C11—24no—
997C2×C4×C11—42no—
998C2×C4×C11—44no—
999C2×C4×C11—44no—
1000C2×C4×C11—42no—
1001C2×C4×C11—44no—
1002C2×C4×C11C2512yes—
1003C2×C4×C11C2511yescharacteristic
1004C2×C4×C11C2511yescharacteristic
1005C2×C4×C11C2512yes—
1006C2×C4×C11C2514yes—
1007C2×C4×C11C2512yes—
1008C2×C4×C11C2514yes—
1009C2×C4×C11C2514yes—
1010C2×C4×C11C2512yes—
1011C22⋊D11—28no—
1012C22⋊D11—28no—
1013C22⋊D11—44no—
1014C22⋊D11—42no—
1015C22⋊D11—42no—
1016C22⋊D11—42no—
1017C22⋊D11—42no—
1018C22⋊D11—44no—
1019C22⋊D11—44no—
1020C22⋊D11—44no—
1021C22⋊D11—44no—
1022C22⋊D11—44no—
1023C22⋊D11—44no—
1024C22⋊D11—44no—
1025C2×Dic11—24no—
1026C2×Dic11—22no—
1027C2×Dic11—44no—
1028C2×Dic11—42no—
1029C2×Dic11—44no—
1030C2×Dic11—44no—
1031C2×Dic11—42no—
1032C2×Dic11C2512yes—
1033C2×Dic11C2512yes—
1034C2×Dic11C2514yes—
1035C2×Dic11C2511yescharacteristic
1036C2×Dic11C2511yescharacteristic
1037C2×Dic11C2512yes—
1038C2×Dic11C2514yes—
1039C2×Dic11C2514yes—
1040C2×Dic11C2512yes—
1041D44—28no—
1042D44—41no—
1043D44—42no—
1044D44—41no—
1045D44—44no—
1046D44—42no—
1047D44—44no—
1048D44—44no—
1049D44—42no—
1050C4×D11—24no—
1051C4×D11—24no—
1052C4×D11—22no—
1053C4×D11—22no—
1054C4×D11—22no—
1055C4×D11—22no—
1056C4×D11—24no—
1057C4×D11—24no—
1058C4×D11—28no—
1059C4×D11—24no—
1060C4×D11—28no—
1061C4×D11—24no—
1062C4×D11—28no—
1063C4×D11—42no—
1064C4×D11—44no—
1065C4×D11—44no—
1066C4×D11—42no—
1067C4×D11—44no—
1068C4×D11—44no—
1069C4×D11—44no—
1070C4×D11—44no—
1071C4×D11—44no—
1072Dic22—41no—
1073Dic22—42no—
1074Dic22—42no—
1075Dic22—42no—
1076Dic22—41no—
1077Dic22—42no—
1078Dic22—42no—
1079Dic22—44no—
1080Dic22—42no—
1081Dic22—42no—
1082Dic22—44no—
1083C22×#41—112no—
1084C23×Q8—111no—
1085C23×D4—111no—
1086C23×D4—112no—
1087#563—112no—
1088#563—114no—
1089#563—112no—
1090#563—111no—
1091#563—112no—
1092#563—114no—
1093#563C2×D1111yescharacteristic, complemented
1094#562—112no—
1095#562—112no—
1096#562—112no—
1097#562—114no—
1098#562—114no—
1099#562—114no—
1100#562—114no—
1101#562—114no—
1102#562—114no—
1103#562C2×D1112yescomplemented
1104H(3,𝔽4)—111no—
1105H(3,𝔽4)—114no—
1106H(3,𝔽4)—112no—
1107H(3,𝔽4)—112no—
1108H(3,𝔽4)—112no—
1109H(3,𝔽4)—114no—
1110H(3,𝔽4)C2×D1111yescharacteristic, complemented
1111#555—112no—
1112#555—112no—
1113#555—114no—
1114#555—112no—
1115#555—114no—
1116#555—114no—
1117#555—114no—
1118#555—114no—
1119#555—114no—
1120#555C2×D1112yescomplemented
1121#551—114no—
1122#551—114no—
1123#551—114no—
1124#551—112no—
1125#551—114no—
1126#551—112no—
1127#551—114no—
1128#551—114no—
1129#551—114no—
1130#551—114no—
1131#551—114no—
1132#551—114no—
1133#551—114no—
1134#551—114no—
1135#551—112no—
1136#551—114no—
1137#551—114no—
1138#551—114no—
1139#551—114no—
1140#551—114no—
1141#551—114no—
1142#551—114no—
1143#551—114no—
1144#551—114no—
1145#551C2×D1112yescomplemented
1146#551C2×D1114yescomplemented
1147#546—114no—
1148#546—114no—
1149#546—114no—
1150#546—114no—
1151#546—114no—
1152#546—114no—
1153#546—114no—
1154#546—114no—
1155#546—114no—
1156#546—114no—
1157#546—114no—
1158#546—114no—
1159#546—114no—
1160#546—114no—
1161#546—114no—
1162#546C2×D1114yescomplemented
1163#542—114no—
1164#542—114no—
1165#542—114no—
1166#542—114no—
1167#542—114no—
1168#542—114no—
1169#542—114no—
1170#542—114no—
1171#542—114no—
1172#542—114no—
1173#542—114no—
1174#542—114no—
1175#542—114no—
1176#542—114no—
1177#542—114no—
1178#542C2×D1114yescomplemented
1179#538—114no—
1180#538—114no—
1181#538—114no—
1182#538—114no—
1183#538—114no—
1184#538—114no—
1185#538—114no—
1186#538—114no—
1187#538—114no—
1188#538—114no—
1189#538—114no—
1190#538—114no—
1191#538—114no—
1192#538—114no—
1193#538—114no—
1194#538C2×D1114yescomplemented
1195#536—112no—
1196#536—112no—
1197#536—112no—
1198#536—112no—
1199#536—112no—
1200#536—112no—
1201#536—114no—
1202#536—114no—
1203#536—114no—
1204#536—114no—
1205#536—112no—
1206#536C2×D1112yescomplemented
1207#534—112no—
1208#534—112no—
1209#534—112no—
1210#534—112no—
1211#534—114no—
1212#534—114no—
1213#534—114no—
1214#534—112no—
1215#534—114no—
1216#534—112no—
1217#534—112no—
1218#534C2×D1112yescomplemented
1219C2×C4⋊Q8—112no—
1220C2×C4⋊Q8—112no—
1221#529—114no—
1222#529—112no—
1223#529—112no—
1224#529—114no—
1225#529—112no—
1226#529—112no—
1227#529—112no—
1228#529—114no—
1229#529—112no—
1230#529—114no—
1231#529—112no—
1232#529C2×D1112yescomplemented
1233C2×#126—114no—
1234C2×#126—114no—
1235C2×#126—114no—
1236C2×#125—112no—
1237C2×#124—111no—
1238C2×#124—111no—
1239C2×#124—111no—
1240C2×#124—111no—
1241C2×#124—111no—
1242C2×#124—111no—
1243C2×#124—114no—
1244C2×#124—111no—
1245C2×#124—111no—
1246C2×#124—114no—
1247C2×#124—111no—
1248C2×#124—111no—
1249C2×#124—112no—
1250C2×#124—112no—
1251C2×#124—112no—
1252C2×#124—114no—
1253C2×#124—114no—
1254C2×#124—114no—
1255C2×#124—111no—
1256C2×#124C2×D1111yescharacteristic, complemented
1257C2×#123—112no—
1258C2×#123—114no—
1259C2×#123—112no—
1260C2×#123—114no—
1261C2×#123—114no—
1262C2×#123—114no—
1263C2×#123—114no—
1264C2×C22⋊Q8—112no—
1265C2×C22⋊Q8—114no—
1266C2×C22⋊Q8—114no—
1267C2×C22⋊Q8—114no—
1268C2×C22⋊Q8—114no—
1269C2×#121—112no—
1270C2×#121—114no—
1271C2×#121—114no—
1272C2×#121—114no—
1273C2×#121—114no—
1274C2×#120—114no—
1275C2×#120—112no—
1276C2×#120—112no—
1277C2×#120—114no—
1278C2×C4×Q8—112no—
1279C2×C4×D4—112no—
1280C2×C4×D4—114no—
1281C2×C4×D4—114no—
1282C2×C4×D4—114no—
1283C2×#117—114no—
1284C2×#117—112no—
1285C2×#117—114no—
1286C22×C22⋊C4—114no—
1287C22×C22⋊C4—112no—
1288C22×C22⋊C4—114no—
1289C22×C42—111no—
1290C22×C11—22no—
1291C22×C11—24no—
1292C22×C11—22no—
1293C22×C11—22no—
1294C22×C11—24no—
1295C22×C11—24no—
1296C22×C11—24no—
1297C22×C11—24no—
1298C22×C11—84no—
1299C22×C11—84no—
1300C22×C11C2×H(5,𝔽2)12yes—
1301C22×C11C2611yescharacteristic
1302C2×D11—22no—
1303C2×D11—28no—
1304C2×D11—22no—
1305C2×D11—22no—
1306C2×D11—24no—
1307C2×D11—24no—
1308C2×D11—24no—
1309C2×D11—24no—
1310C2×D11—24no—
1311C2×D11—416no—
1312C2×D11—48no—
1313C2×D11—48no—
1314C2×D11—84no—
1315C2×D11—84no—
1316C2×D11—84no—
1317C2×D11—84no—
1318C2×D11—88no—
1319C2×D11C2×H(5,𝔽2)12yes—
1320C2×D11C2×H(5,𝔽2)12yes—
1321C2×D11#58514yes—
1322C4×C11—22no—
1323C4×C11—21no—
1324C4×C11—21no—
1325C4×C11—22no—
1326C4×C11—24no—
1327C4×C11—22no—
1328C4×C11—24no—
1329C4×C11—22no—
1330C4×C11—24no—
1331Dic11—22no—
1332Dic11—22no—
1333Dic11—21no—
1334Dic11—21no—
1335Dic11—24no—
1336Dic11—22no—
1337Dic11—24no—
1338Dic11—22no—
1339Dic11—24no—
1340C25—112no—
1341C25—112no—
1342C2×#41—112no—
1343C2×#41—114no—
1344C2×#41—112no—
1345C2×#41—114no—
1346C2×#41—112no—
1347C2×#41—448no—
1348C2×#41C22×D1112yes—
1349C22×Q8—112no—
1350C22×Q8—111no—
1351C22×Q8—112no—
1352C22×Q8—112no—
1353C22×Q8—111no—
1354C22×Q8—111no—
1355C22×Q8—112no—
1356C22×Q8—111no—
1357C22×Q8—112no—
1358C22×Q8—111no—
1359C22×Q8—444no—
1360C22×Q8C22×D1111yescharacteristic, complemented
1361C22×D4—112no—
1362C22×D4—112no—
1363C22×D4—112no—
1364C22×D4—114no—
1365C22×D4—114no—
1366C22×D4—114no—
1367C22×D4—112no—
1368C22×D4—112no—
1369C22×D4—111no—
1370C22×D4—112no—
1371C22×D4—114no—
1372C22×D4—111no—
1373C22×D4—112no—
1374C22×D4—111no—
1375C22×D4—111no—
1376C22×D4—114no—
1377C22×D4—114no—
1378C22×D4—111no—
1379C22×D4—112no—
1380C22×D4—444no—
1381C22×D4—448no—
1382C22×D4C22×D1111yescharacteristic
1383C22×D4C22×D1112yescomplemented
1384C23×C4—112no—
1385C23×C4—111no—
1386C23×C4—112no—
1387C23×C4—114no—
1388C23×C4—114no—
1389C23×C4—114no—
1390C23×C4—112no—
1391C4⋊Q8—112no—
1392C4⋊Q8—112no—
1393C4⋊Q8—112no—
1394C4⋊Q8—112no—
1395C4⋊Q8—114no—
1396C4⋊Q8—114no—
1397C4⋊Q8—114no—
1398C4⋊Q8—114no—
1399C4⋊Q8—112no—
1400C4⋊Q8—112no—
1401C4⋊Q8C22×D1112yescomplemented
1402C4⋊Q8C22×D1112yescomplemented
1403#126—114no—
1404#126—114no—
1405#126—114no—
1406#126—114no—
1407#126—114no—
1408#126—114no—
1409#126—114no—
1410#126—114no—
1411#126—114no—
1412#126—114no—
1413#126—114no—
1414#126—114no—
1415#126—114no—
1416#126—114no—
1417#126—114no—
1418#126—114no—
1419#126—114no—
1420#126—114no—
1421#126—114no—
1422#126—114no—
1423#126—114no—
1424#126C22×D1114yescomplemented
1425#126C22×D1114yescomplemented
1426#126C22×D1114yescomplemented
1427#125—114no—
1428#125—114no—
1429#125—112no—
1430#125—112no—
1431#125—112no—
1432#125C22×D1112yescomplemented
1433#124—114no—
1434#124—111no—
1435#124—111no—
1436#124—111no—
1437#124—111no—
1438#124—112no—
1439#124—112no—
1440#124—112no—
1441#124—114no—
1442#124—114no—
1443#124—114no—
1444#124—111no—
1445#124—111no—
1446#124—111no—
1447#124—111no—
1448#124—112no—
1449#124—112no—
1450#124—112no—
1451#124—114no—
1452#124—114no—
1453#124—114no—
1454#124—114no—
1455#124—114no—
1456#124—114no—
1457#124—114no—
1458#124—114no—
1459#124—114no—
1460#124—114no—
1461#124—114no—
1462#124—114no—
1463#124—114no—
1464#124—114no—
1465#124—114no—
1466#124—114no—
1467#124—114no—
1468#124—114no—
1469#124—114no—
1470#124—114no—
1471#124—114no—
1472#124—114no—
1473#124—114no—
1474#124—114no—
1475#124—114no—
1476#124—111no—
1477#124—111no—
1478#124—111no—
1479#124—111no—
1480#124—112no—
1481#124—112no—
1482#124—112no—
1483#124—114no—
1484#124—114no—
1485#124C22×D1111yescharacteristic
1486#124C22×D1111yescharacteristic
1487#124C22×D1114yescomplemented
1488#124C22×D1111yescharacteristic, complemented
1489#124C22×D1111yescharacteristic, complemented
1490#124C22×D1112yescomplemented
1491#124C22×D1112yescomplemented
1492#124C22×D1112yescomplemented
1493#124C22×D1114yescomplemented
1494#124C22×D1114yescomplemented
1495#123—114no—
1496#123—112no—
1497#123—112no—
1498#123—114no—
1499#123—114no—
1500#123—114no—
1501#123—114no—
1502#123—114no—
1503#123—112no—
1504#123—112no—
1505#123—114no—
1506#123—114no—
1507#123—114no—
1508#123—114no—
1509#123—114no—
1510#123—114no—
1511#123—114no—
1512#123—114no—
1513#123—114no—
1514#123—114no—
1515#123—114no—
1516#123—114no—
1517#123—114no—
1518#123—114no—
1519#123—114no—
1520#123—114no—
1521#123—114no—
1522#123—114no—
1523#123—114no—
1524#123—114no—
1525#123—112no—
1526#123—114no—
1527#123—112no—
1528#123—114no—
1529#123—114no—
1530#123—114no—
1531#123—114no—
1532#123—114no—
1533#123—114no—
1534#123—114no—
1535#123—114no—
1536#123—114no—
1537#123—114no—
1538#123—114no—
1539#123—114no—
1540#123C22×D1112yes—
1541#123C22×D1114yescomplemented
1542#123C22×D1112yescomplemented
1543#123C22×D1114yescomplemented
1544#123C22×D1114yescomplemented
1545#123C22×D1114yescomplemented
1546#123C22×D1114yescomplemented
1547C22⋊Q8—112no—
1548C22⋊Q8—114no—
1549C22⋊Q8—114no—
1550C22⋊Q8—114no—
1551C22⋊Q8—114no—
1552C22⋊Q8—112no—
1553C22⋊Q8—114no—
1554C22⋊Q8—114no—
1555C22⋊Q8—114no—
1556C22⋊Q8—114no—
1557C22⋊Q8—114no—
1558C22⋊Q8—112no—
1559C22⋊Q8—114no—
1560C22⋊Q8—114no—
1561C22⋊Q8—114no—
1562C22⋊Q8—114no—
1563C22⋊Q8—114no—
1564C22⋊Q8—114no—
1565C22⋊Q8—114no—
1566C22⋊Q8—114no—
1567C22⋊Q8—114no—
1568C22⋊Q8—114no—
1569C22⋊Q8—114no—
1570C22⋊Q8—114no—
1571C22⋊Q8—114no—
1572C22⋊Q8—114no—
1573C22⋊Q8—114no—
1574C22⋊Q8—114no—
1575C22⋊Q8—114no—
1576C22⋊Q8—114no—
1577C22⋊Q8—114no—
1578C22⋊Q8—114no—
1579C22⋊Q8—114no—
1580C22⋊Q8C22×D1112yescomplemented
1581C22⋊Q8C22×D1114yescomplemented
1582C22⋊Q8C22×D1114yescomplemented
1583C22⋊Q8C22×D1114yescomplemented
1584C22⋊Q8C22×D1114yescomplemented
1585#121—112no—
1586#121—114no—
1587#121—114no—
1588#121—114no—
1589#121—114no—
1590#121—114no—
1591#121—114no—
1592#121—114no—
1593#121—114no—
1594#121—114no—
1595#121—114no—
1596#121—114no—
1597#121—114no—
1598#121—114no—
1599#121—112no—
1600#121—114no—
1601#121—114no—
1602#121—114no—
1603#121—114no—
1604#121—112no—
1605#121—114no—
1606#121—114no—
1607#121—114no—
1608#121—114no—
1609#121—114no—
1610#121—114no—
1611#121—114no—
1612#121—114no—
1613#121—114no—
1614#121—114no—
1615#121—114no—
1616#121—114no—
1617#121—114no—
1618#121C22×D1112yes—
1619#121C22×D1114yes—
1620#121C22×D1114yescomplemented
1621#121C22×D1114yescomplemented
1622#121C22×D1114yescomplemented
1623#120—112no—
1624#120—114no—
1625#120—112no—
1626#120—114no—
1627#120—112no—
1628#120—114no—
1629#120—114no—
1630#120—114no—
1631#120—114no—
1632#120—112no—
1633#120—114no—
1634#120—114no—
1635#120—114no—
1636#120—114no—
1637#120—114no—
1638#120—112no—
1639#120—114no—
1640#120—114no—
1641#120—114no—
1642#120—114no—
1643#120—112no—
1644#120—114no—
1645#120—114no—
1646#120—114no—
1647#120C22×D1114yes—
1648#120C22×D1112yes—
1649#120C22×D1112yescomplemented
1650#120C22×D1114yescomplemented
1651C4×Q8—112no—
1652C4×Q8—114no—
1653C4×Q8—112no—
1654C4×Q8—114no—
1655C4×Q8—112no—
1656C4×Q8C22×D1112yescomplemented
1657C4×D4—112no—
1658C4×D4—114no—
1659C4×D4—114no—
1660C4×D4—114no—
1661C4×D4—114no—
1662C4×D4—114no—
1663C4×D4—114no—
1664C4×D4—114no—
1665C4×D4—114no—
1666C4×D4—114no—
1667C4×D4—114no—
1668C4×D4—112no—
1669C4×D4—114no—
1670C4×D4—114no—
1671C4×D4—114no—
1672C4×D4—114no—
1673C4×D4—114no—
1674C4×D4—114no—
1675C4×D4—114no—
1676C4×D4—114no—
1677C4×D4—114no—
1678C4×D4—114no—
1679C4×D4—112no—
1680C4×D4—114no—
1681C4×D4—114no—
1682C4×D4—114no—
1683C4×D4C22×D1112yescomplemented
1684C4×D4C22×D1114yescomplemented
1685C4×D4C22×D1114yescomplemented
1686C4×D4C22×D1114yescomplemented
1687#117—114no—
1688#117—112no—
1689#117—114no—
1690#117—114no—
1691#117—114no—
1692#117—114no—
1693#117—114no—
1694#117—114no—
1695#117—114no—
1696#117—114no—
1697#117—114no—
1698#117—114no—
1699#117—114no—
1700#117—114no—
1701#117—114no—
1702#117—112no—
1703#117—112no—
1704#117—114no—
1705#117—114no—
1706#117C22×D1114yescomplemented
1707#117C22×D1112yescomplemented
1708#117C22×D1114yescomplemented
1709C2×C4⋊C4—114no—
1710C2×C4⋊C4—114no—
1711C2×C4⋊C4—114no—
1712C2×C4⋊C4—114no—
1713C2×C4⋊C4—114no—
1714C2×C4⋊C4—114no—
1715C2×C4⋊C4—112no—
1716C2×C4⋊C4—112no—
1717C2×C4⋊C4—114no—
1718C2×C22⋊C4—114no—
1719C2×C22⋊C4—112no—
1720C2×C22⋊C4—114no—
1721C2×C22⋊C4—114no—
1722C2×C22⋊C4—114no—
1723C2×C22⋊C4—114no—
1724C2×C22⋊C4—114no—
1725C2×C22⋊C4—114no—
1726C2×C22⋊C4—114no—
1727C2×C22⋊C4—114no—
1728C2×C22⋊C4—114no—
1729C2×C22⋊C4—114no—
1730C2×C22⋊C4—114no—
1731C2×C22⋊C4—114no—
1732C2×C22⋊C4—112no—
1733C2×C22⋊C4—112no—
1734C2×C22⋊C4—114no—
1735C2×C22⋊C4—114no—
1736C2×C22⋊C4—114no—
1737C2×C22⋊C4—114no—
1738C2×C22⋊C4—114no—
1739C2×C22⋊C4—114no—
1740C2×C22⋊C4—114no—
1741C2×C22⋊C4—112no—
1742C2×C22⋊C4—112no—
1743C2×C22⋊C4—114no—
1744C2×C22⋊C4—114no—
1745C2×C22⋊C4—114no—
1746C2×C22⋊C4—114no—
1747C2×C22⋊C4—114no—
1748C2×C22⋊C4—114no—
1749C2×C22⋊C4—114no—
1750C2×C22⋊C4—114no—
1751C2×C22⋊C4—114no—
1752C2×C22⋊C4C22×D1114yescomplemented
1753C2×C22⋊C4C22×D1112yescomplemented
1754C2×C22⋊C4C22×D1114yescomplemented
1755C2×C42—112no—
1756C2×C42—111no—
1757C2×C42—111no—
1758C2×C42—112no—
1759C2×C42—114no—
1760C2×C42—112no—
1761C2×C42—112no—
1762C2×C42—111no—
1763C2×C42—111no—
1764C2×C42—112no—
1765C2×C42—111no—
1766C2×C42C22×D1111yescharacteristic, complemented
1767C2×C11—22no—
1768C2×C11—42no—
1769C2×C11—42no—
1770C2×C11—44no—
1771C2×C11C22×H(5,𝔽2)11yescharacteristic
1772C2×C11C2×#58512yes—
1773D11—22no—
1774D11—42no—
1775D11—44no—
1776D11—42no—
1777D11#354514yesdirect product factor
1778C24—111no—
1779C24—112no—
1780C24—114no—
1781C24—112no—
1782C24—112no—
1783C24—112no—
1784C24—112no—
1785C24—114no—
1786C24—112no—
1787C24—228no—
1788C24—444no—
1789C24—448no—
1790C24—448no—
1791C24C23×D1112yes—
1792C24C23×D1112yes—
1793#41—44no—
1794#41—444no—
1795#41—448no—
1796#41—448no—
1797#41—444no—
1798#41—444no—
1799C2×Q8—42no—
1800C2×Q8—112no—
1801C2×Q8—114no—
1802C2×Q8—112no—
1803C2×Q8—111no—
1804C2×Q8—112no—
1805C2×Q8—112no—
1806C2×Q8—112no—
1807C2×Q8—114no—
1808C2×Q8—112no—
1809C2×Q8—111no—
1810C2×Q8—112no—
1811C2×Q8—442no—
1812C2×Q8—444no—
1813C2×Q8—442no—
1814C2×Q8—444no—
1815C2×Q8—442no—
1816C2×Q8—442no—
1817C2×Q8—444no—
1818C2×Q8—442no—
1819C2×Q8—444no—
1820C2×Q8—444no—
1821C2×Q8C23×D1112yes—
1822C2×Q8C23×D1111yescharacteristic
1823C2×Q8C23×D1112yes—
1824C2×Q8C23×D1112yes—
1825C2×Q8C23×D1111yescharacteristic
1826C2×D4—42no—
1827C2×D4—44no—
1828C2×D4—114no—
1829C2×D4—114no—
1830C2×D4—114no—
1831C2×D4—114no—
1832C2×D4—114no—
1833C2×D4—114no—
1834C2×D4—114no—
1835C2×D4—114no—
1836C2×D4—112no—
1837C2×D4—112no—
1838C2×D4—112no—
1839C2×D4—114no—
1840C2×D4—114no—
1841C2×D4—112no—
1842C2×D4—114no—
1843C2×D4—114no—
1844C2×D4—114no—
1845C2×D4—112no—
1846C2×D4—112no—
1847C2×D4—111no—
1848C2×D4—112no—
1849C2×D4—114no—
1850C2×D4—111no—
1851C2×D4—2216no—
1852C2×D4—442no—
1853C2×D4—444no—
1854C2×D4—442no—
1855C2×D4—444no—
1856C2×D4—442no—
1857C2×D4—442no—
1858C2×D4—444no—
1859C2×D4—442no—
1860C2×D4—448no—
1861C2×D4—444no—
1862C2×D4—448no—
1863C2×D4—448no—
1864C2×D4—444no—
1865C2×D4—444no—
1866C2×D4—448no—
1867C2×D4—448no—
1868C2×D4—444no—
1869C2×D4—444no—
1870C2×D4C23×D1114yes—
1871C2×D4C23×D1114yes—
1872C2×D4C23×D1114yes—
1873C2×D4C23×D1112yes—
1874C2×D4C23×D1111yescharacteristic
1875C2×D4C23×D1112yes—
1876C2×D4C23×D1112yes—
1877C2×D4C23×D1114yes—
1878C2×D4C23×D1111yescharacteristic
1879C22×C4—111no—
1880C22×C4—112no—
1881C22×C4—112no—
1882C22×C4—114no—
1883C22×C4—114no—
1884C22×C4—114no—
1885C22×C4—112no—
1886C22×C4—112no—
1887C22×C4—114no—
1888C22×C4—112no—
1889C22×C4—112no—
1890C22×C4—111no—
1891C22×C4—111no—
1892C22×C4—111no—
1893C22×C4—111no—
1894C22×C4—114no—
1895C22×C4—114no—
1896C22×C4—112no—
1897C22×C4—112no—
1898C22×C4—112no—
1899C22×C4—112no—
1900C22×C4—112no—
1901C22×C4—114no—
1902C22×C4—114no—
1903C22×C4—114no—
1904C22×C4—114no—
1905C22×C4—114no—
1906C22×C4—114no—
1907C22×C4—114no—
1908C22×C4—224no—
1909C22×C4—228no—
1910C22×C4—444no—
1911C22×C4—448no—
1912C22×C4—448no—
1913C22×C4—444no—
1914C22×C4—448no—
1915C22×C4C23×D1111yescharacteristic
1916C22×C4C23×D1112yes—
1917C22×C4C23×D1112yes—
1918C22×C4C23×D1114yes—
1919C22×C4C23×D1114yes—
1920C22×C4C23×D1114yes—
1921C22×C4C23×D1112yes—
1922C4⋊C4—114no—
1923C4⋊C4—114no—
1924C4⋊C4—114no—
1925C4⋊C4—114no—
1926C4⋊C4—114no—
1927C4⋊C4—114no—
1928C4⋊C4—114no—
1929C4⋊C4—114no—
1930C4⋊C4—114no—
1931C4⋊C4—114no—
1932C4⋊C4—114no—
1933C4⋊C4—114no—
1934C4⋊C4—114no—
1935C4⋊C4—114no—
1936C4⋊C4—114no—
1937C4⋊C4—114no—
1938C4⋊C4—114no—
1939C4⋊C4—114no—
1940C4⋊C4—114no—
1941C4⋊C4—112no—
1942C4⋊C4—114no—
1943C4⋊C4—112no—
1944C4⋊C4—114no—
1945C4⋊C4—114no—
1946C4⋊C4—114no—
1947C4⋊C4C23×D1114yes—
1948C4⋊C4C23×D1114yes—
1949C4⋊C4C23×D1114yes—
1950C4⋊C4C23×D1114yes—
1951C4⋊C4C23×D1114yes—
1952C4⋊C4C23×D1114yes—
1953C4⋊C4C23×D1112yes—
1954C4⋊C4C23×D1112yes—
1955C4⋊C4C23×D1114yes—
1956C22⋊C4—114no—
1957C22⋊C4—114no—
1958C22⋊C4—114no—
1959C22⋊C4—114no—
1960C22⋊C4—114no—
1961C22⋊C4—114no—
1962C22⋊C4—112no—
1963C22⋊C4—112no—
1964C22⋊C4—114no—
1965C22⋊C4—114no—
1966C22⋊C4—114no—
1967C22⋊C4—114no—
1968C22⋊C4—114no—
1969C22⋊C4—114no—
1970C22⋊C4—114no—
1971C22⋊C4—114no—
1972C22⋊C4—114no—
1973C22⋊C4—114no—
1974C22⋊C4—114no—
1975C22⋊C4—114no—
1976C22⋊C4—114no—
1977C22⋊C4—114no—
1978C22⋊C4—114no—
1979C22⋊C4—114no—
1980C22⋊C4—114no—
1981C22⋊C4—114no—
1982C22⋊C4—114no—
1983C22⋊C4—114no—
1984C22⋊C4—114no—
1985C22⋊C4—114no—
1986C22⋊C4—114no—
1987C22⋊C4—114no—
1988C22⋊C4—114no—
1989C22⋊C4—114no—
1990C22⋊C4—114no—
1991C22⋊C4—114no—
1992C22⋊C4—114no—
1993C22⋊C4—114no—
1994C22⋊C4—114no—
1995C22⋊C4—114no—
1996C22⋊C4—114no—
1997C22⋊C4—114no—
1998C22⋊C4—114no—
1999C22⋊C4C23×D1114yes—
2000C22⋊C4C23×D1114yes—
2001C22⋊C4C23×D1114yes—
2002C22⋊C4C23×D1114yes—
2003C22⋊C4C23×D1114yes—
2004C22⋊C4C23×D1112yes—
2005C22⋊C4C23×D1114yes—
2006C22⋊C4C23×D1112yes—
2007C22⋊C4C23×D1114yes—
2008C22⋊C4C23×D1114yes—
2009C22⋊C4C23×D1114yes—
2010C22⋊C4C23×D1114yes—
2011C22⋊C4C23×D1114yes—
2012C22⋊C4C23×D1114yes—
2013C22⋊C4C23×D1114yes—
2014C42—111no—
2015C42—112no—
2016C42—112no—
2017C42—112no—
2018C42—112no—
2019C42—111no—
2020C42—112no—
2021C42—112no—
2022C42—114no—
2023C42—114no—
2024C42—114no—
2025C42—114no—
2026C42—114no—
2027C42—112no—
2028C42C23×D1111yescharacteristic
2029C42C23×D1112yes—
2030C42C23×D1111yescharacteristic
2031C42C23×D1112yes—
2032C42C23×D1114yes—
2033C42C23×D1112yes—
2034C11C2×#354511yescharacteristic, complemented, Sylow
2035C23—24no—
2036C23—42no—
2037C23—44no—
2038C23—44no—
2039C23—111no—
2040C23—114no—
2041C23—111no—
2042C23—112no—
2043C23—114no—
2044C23—112no—
2045C23—224no—
2046C23—228no—
2047C23—224no—
2048C23—228no—
2049C23—228no—
2050C23—224no—
2051C23—228no—
2052C23—228no—
2053C23—224no—
2054C23—224no—
2055C23—224no—
2056C23—444no—
2057C23—442no—
2058C23—444no—
2059C23—444no—
2060C23—444no—
2061C23—444no—
2062C23—444no—
2063C23—444no—
2064C23—8816no—
2065C23—8816no—
2066C23C24×D1112yes—
2067C23C24×D1114yes—
2068C23C24×D1112yes—
2069C23C24×D1111yescharacteristic
2070Q8—41no—
2071Q8—42no—
2072Q8—41no—
2073Q8—42no—
2074Q8—42no—
2075Q8—442no—
2076Q8—442no—
2077Q8—441no—
2078Q8—442no—
2079Q8—441no—
2080Q8—442no—
2081Q8—442no—
2082Q8—442no—
2083Q8—444no—
2084Q8—442no—
2085Q8—444no—
2086D4—28no—
2087D4—41no—
2088D4—42no—
2089D4—41no—
2090D4—44no—
2091D4—44no—
2092D4—44no—
2093D4—42no—
2094D4—42no—
2095D4—228no—
2096D4—228no—
2097D4—228no—
2098D4—441no—
2099D4—442no—
2100D4—441no—
2101D4—444no—
2102D4—442no—
2103D4—444no—
2104D4—444no—
2105D4—442no—
2106D4—442no—
2107D4—442no—
2108D4—442no—
2109D4—442no—
2110D4—444no—
2111D4—444no—
2112D4—444no—
2113D4—444no—
2114D4—444no—
2115D4—444no—
2116D4—444no—
2117D4—444no—
2118C2×C4—22no—
2119C2×C4—24no—
2120C2×C4—44no—
2121C2×C4—42no—
2122C2×C4—44no—
2123C2×C4—42no—
2124C2×C4—44no—
2125C2×C4—112no—
2126C2×C4—112no—
2127C2×C4—114no—
2128C2×C4—112no—
2129C2×C4—111no—
2130C2×C4—111no—
2131C2×C4—114no—
2132C2×C4—114no—
2133C2×C4—112no—
2134C2×C4—224no—
2135C2×C4—222no—
2136C2×C4—222no—
2137C2×C4—222no—
2138C2×C4—222no—
2139C2×C4—224no—
2140C2×C4—224no—
2141C2×C4—224no—
2142C2×C4—224no—
2143C2×C4—228no—
2144C2×C4—228no—
2145C2×C4—228no—
2146C2×C4—224no—
2147C2×C4—222no—
2148C2×C4—224no—
2149C2×C4—444no—
2150C2×C4—444no—
2151C2×C4—444no—
2152C2×C4—444no—
2153C2×C4—442no—
2154C2×C4—444no—
2155C2×C4—444no—
2156C2×C4—442no—
2157C2×C4—444no—
2158C2×C4—442no—
2159C2×C4—444no—
2160C2×C4—444no—
2161C2×C4—442no—
2162C2×C4—444no—
2163C2×C4C24×D1112yes—
2164C2×C4C24×D1112yes—
2165C2×C4C24×D1114yes—
2166C2×C4C24×D1112yes—
2167C2×C4C24×D1111yescharacteristic
2168C2×C4C24×D1111yescharacteristic
2169C2×C4C24×D1114yes—
2170C2×C4C24×D1114yes—
2171C2×C4C24×D1112yes—
2172C22—22no—
2173C22—24no—
2174C22—22no—
2175C22—22no—
2176C22—24no—
2177C22—24no—
2178C22—24no—
2179C22—24no—
2180C22—84no—
2181C22—84no—
2182C22—112no—
2183C22—114no—
2184C22—112no—
2185C22—228no—
2186C22—222no—
2187C22—224no—
2188C22—222no—
2189C22—222no—
2190C22—224no—
2191C22—224no—
2192C22—224no—
2193C22—224no—
2194C22—448no—
2195C22—4416no—
2196C22—448no—
2197C22—884no—
2198C22—884no—
2199C22—884no—
2200C22—884no—
2201C22—888no—
2202C22D11×H(5,𝔽2)12yes—
2203C22C25×D1111yescharacteristic
2204C4—22no—
2205C4—21no—
2206C4—21no—
2207C4—22no—
2208C4—24no—
2209C4—22no—
2210C4—24no—
2211C4—22no—
2212C4—24no—
2213C4—222no—
2214C4—221no—
2215C4—221no—
2216C4—222no—
2217C4—224no—
2218C4—222no—
2219C4—224no—
2220C4—222no—
2221C4—224no—
2222C2—22no—
2223C2—42no—
2224C2—44no—
2225C2—42no—
2226C2—114no—
2227C2—222no—
2228C2—442no—
2229C2—444no—
2230C2—442no—
2231C2C2×D11×H(5,𝔽2)11yescharacteristic
2232C2D11×#58512yes—
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3545C2
hypercenter#3545D11
hypocenterC11C2×#3545
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3545

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #13082974C2semidirect
2. #13082973C2semidirect
3. #13082972C2semidirect
4. #13082971C2semidirect
5. #13082970C2semidirect
6. #13082969C2semidirect
7. #13082968C2semidirect
8. #13082967C2semidirect
9. #13082966C2semidirect
10. #13082965C2semidirect
11. #13082964C2semidirect
12. #13082963C2semidirect
13. #13082962C2semidirect
14. D11×#563C2semidirect
15. D11×#562C2semidirect
16. D11×H(3,𝔽4)C2semidirect
17. D11×#555C2semidirect
18. D11×#551C2semidirect
19. D11×#551C2semidirect
20. D11×#546C2semidirect
21. D11×#542C2semidirect
22. D11×#538C2semidirect
23. D11×#536C2semidirect
24. D11×#534C2semidirect
25. D11×#529C2semidirect
26. C2×D11×#124C2semidirect
27. C11×#3545C2semidirect
29. C22×Q8×D11C22semidirect
31. C22×D4×D11C22semidirect
32. C11×#563C22semidirect
33. C11×#562C22semidirect
34. C11×H(3,𝔽4)C22semidirect
35. C11×#555C22semidirect
36. C11×#551C22semidirect
37. C11×#551C22semidirect
38. C11×#546C22semidirect
39. C11×#542C22semidirect
40. C11×#538C22semidirect
41. C11×#536C22semidirect
42. C11×#534C22semidirect
43. C11×#529C22semidirect
44. C2×C11×#124C22semidirect
45. #10623360C22semidirect
46. #10623356C22semidirect
47. #10623347C22semidirect
48. C2×#67000C22semidirect
49. #10623337C22semidirect
50. #10623335C22semidirect
51. #10623335C22semidirect
52. C2×#66989C22semidirect
53. #10623266C22semidirect
54. #10623265C22semidirect
55. #10623264C22semidirect
56. #10623255C22semidirect
57. #10623255C22semidirect
58. D11×C4⋊Q8C22semidirect
59. D11×C4⋊Q8C22semidirect
60. #10623243C22semidirect
61. #10623241C22semidirect
62. #10623241C22semidirect
63. #10623237C22semidirect
64. #10623236C22semidirect
65. #10623236C22semidirect
66. #10623236C22semidirect
67. #10623235C22semidirect
68. #10623235C22semidirect
69. D11×#126C22semidirect
70. D11×#126C22semidirect
71. D11×#126C22semidirect
72. #10623231C22semidirect
73. #10623230C22semidirect
74. #10623222C22semidirect
75. D11×#125C22semidirect
76. #10623215C22semidirect
77. #10623215C22semidirect
78. #10623214C22semidirect
79. #10623214C22semidirect
80. #10623214C22semidirect
81. #10623214C22semidirect
82. #10623213C22semidirect
83. #10623211C22semidirect
84. #10623210C22semidirect
85. #10623210C22semidirect
86. #10623209C22semidirect
87. #10623209C22semidirect
88. #10623207C22semidirect
89. #10623206C22semidirect
90. #10623206C22semidirect
93. D11×#124C22semidirect
94. D11×#124C22semidirect
95. D11×#124C22semidirect
96. D11×#124C22semidirect
97. D11×#124C22semidirect
98. D11×#124C22semidirect
99. D11×#124C22semidirect
100. D11×#124C22semidirect
101. D11×#124C22semidirect
102. D11×#124C22semidirect
103. D11×#124C22semidirect
104. D11×#124C22semidirect
105. D11×#124C22semidirect
106. #10623203C22semidirect
107. #10623201C22semidirect
108. #10623201C22semidirect
109. #10623201C22semidirect
110. #10623200C22semidirect
111. #10623200C22semidirect
112. #10623198C22semidirect
113. #10623198C22semidirect
114. #10623193C22semidirect
115. #10623193C22semidirect
116. #10623190C22semidirect
117. #10623190C22semidirect
118. #10623189C22semidirect
119. #10623189C22semidirect
120. #10623189C22semidirect
121. #10623188C22semidirect
122. #10623188C22semidirect
123. #10623185C22semidirect
124. #10623185C22semidirect
125. #10623184C22semidirect
126. #10623184C22semidirect
127. #10623184C22semidirect
129. D11×#123C22semidirect
130. D11×#123C22semidirect
131. D11×#123C22semidirect
132. D11×#123C22semidirect
133. D11×#123C22semidirect
134. D11×#123C22semidirect
135. #10623182C22semidirect
136. #10623180C22semidirect
137. #10623179C22semidirect
138. #10623179C22semidirect
139. #10623178C22semidirect
140. #10623178C22semidirect
141. #10623177C22semidirect
142. #10623175C22semidirect
143. #10623174C22semidirect
144. #10623171C22semidirect
145. #10623171C22semidirect
146. #10623168C22semidirect
147. #10623168C22semidirect
148. #10623168C22semidirect
149. #10623161C22semidirect
150. #10623159C22semidirect
151. #10623159C22semidirect
152. D11×C22⋊Q8C22semidirect
153. D11×C22⋊Q8C22semidirect
154. D11×C22⋊Q8C22semidirect
155. D11×C22⋊Q8C22semidirect
156. D11×C22⋊Q8C22semidirect
157. #10623155C22semidirect
158. #10623152C22semidirect
159. #10623152C22semidirect
160. #10623148C22semidirect
161. #10623147C22semidirect
162. #10623147C22semidirect
163. #10623144C22semidirect
164. #10623144C22semidirect
165. #10623143C22semidirect
166. #10623141C22semidirect
167. #10623141C22semidirect
168. #10623136C22semidirect
169. #10623136C22semidirect
172. D11×#121C22semidirect
173. D11×#121C22semidirect
174. D11×#121C22semidirect
175. #10623134C22semidirect
176. #10623131C22semidirect
177. #10623125C22semidirect
178. #10623125C22semidirect
179. #10623124C22semidirect
180. #10623124C22semidirect
181. #10623122C22semidirect
182. #10623122C22semidirect
183. #10623120C22semidirect
184. #10623120C22semidirect
185. #10623120C22semidirect
188. D11×#120C22semidirect
189. D11×#120C22semidirect
190. #10623118C22semidirect
191. #10623118C22semidirect
192. #10623113C22semidirect
193. #10623111C22semidirect
194. C4×Q8×D11C22semidirect
195. #10623094C22semidirect
196. #10623092C22semidirect
197. #10623091C22semidirect
198. #10623091C22semidirect
199. #10623088C22semidirect
200. #10623087C22semidirect
201. #10623087C22semidirect
202. #10623087C22semidirect
203. #10623085C22semidirect
204. #10623081C22semidirect
205. C4×D4×D11C22semidirect
206. C4×D4×D11C22semidirect
207. C4×D4×D11C22semidirect
208. C4×D4×D11C22semidirect
209. #10623069C22semidirect
210. #10623065C22semidirect
211. #10623063C22semidirect
212. #10623063C22semidirect
213. #10623059C22semidirect
214. #10623058C22semidirect
215. #10623058C22semidirect
216. #10623058C22semidirect
217. #10623057C22semidirect
218. D11×#117C22semidirect
219. D11×#117C22semidirect
220. D11×#117C22semidirect
221. #10623026C22semidirect
222. #10623026C22semidirect
223. #10623026C22semidirect
224. #10623025C22semidirect
225. #10623024C22semidirect
226. C2×#66938C22semidirect
227. #10623021C22semidirect
228. #10623021C22semidirect
229. C2×C22⋊C4×D11C22semidirect
230. C2×C22⋊C4×D11C22semidirect
231. C2×C22⋊C4×D11C22semidirect
232. #10623010C22semidirect
233. C2×#66928C22semidirect
234. C2×C42×D11C22semidirect
238. C22×Q8×C11C23semidirect
240. C22×D4×C11C23semidirect
242. C22×C22⋊D11C23semidirect
243. C22×C22⋊D11C23semidirect
252. C2×Q8×D11C23semidirect
253. C2×Q8×D11C23semidirect
254. C2×Q8×D11C23semidirect
271. C2×D4×D11C23semidirect
272. C2×D4×D11C23semidirect
276. C22×D44C23semidirect
284. C22×Dic22C23semidirect
285. C22×Dic22C23semidirect
286. C11×C4⋊Q8C23semidirect
287. C11×C4⋊Q8C23semidirect
288. C11×#126C23semidirect
289. C11×#126C23semidirect
290. C11×#126C23semidirect
291. C11×#125C23semidirect
294. C11×#124C23semidirect
295. C11×#124C23semidirect
296. C11×#124C23semidirect
297. C11×#124C23semidirect
298. C11×#124C23semidirect
299. C11×#124C23semidirect
300. C11×#124C23semidirect
301. C11×#124C23semidirect
303. C11×#123C23semidirect
304. C11×#123C23semidirect
305. C11×#123C23semidirect
306. C11×#123C23semidirect
307. C11×#123C23semidirect
308. C11×#123C23semidirect
309. C11×C22⋊Q8C23semidirect
310. C11×C22⋊Q8C23semidirect
311. C11×C22⋊Q8C23semidirect
312. C11×C22⋊Q8C23semidirect
313. C11×C22⋊Q8C23semidirect
316. C11×#121C23semidirect
317. C11×#121C23semidirect
318. C11×#121C23semidirect
321. C11×#120C23semidirect
322. C11×#120C23semidirect
323. C4×Q8×C11C23semidirect
324. C4×D4×C11C23semidirect
325. C4×D4×C11C23semidirect
326. C4×D4×C11C23semidirect
327. C4×D4×C11C23semidirect
328. C11×#117C23semidirect
329. C11×#117C23semidirect
330. C11×#117C23semidirect
331. C2×C11×C22⋊C4C23semidirect
332. C2×C11×C22⋊C4C23semidirect
333. C2×C11×C22⋊C4C23semidirect
334. C2×C42×C11C23semidirect
337. #67006C23semidirect
338. #67006C23semidirect
339. C2×C22⋊Dic11C23semidirect
340. C2×C22⋊Dic11C23semidirect
341. C2×C22⋊Dic11C23semidirect
344. #67000C23semidirect
345. #67000C23semidirect
346. #67000C23semidirect
347. #67000C23semidirect
348. #67000C23semidirect
349. #67000C23semidirect
350. #67000C23semidirect
351. #67000C23semidirect
352. #66999C23semidirect
353. #66999C23semidirect
354. #66999C23semidirect
355. #66999C23semidirect
356. #66999C23semidirect
357. Q8×Dic11C23semidirect
358. #66997C23semidirect
359. #66997C23semidirect
360. #66997C23semidirect
361. #66997C23semidirect
365. #66992C23semidirect
366. #66992C23semidirect
367. #66992C23semidirect
368. #66992C23semidirect
369. #66992C23semidirect
370. #66992C23semidirect
373. #66991C23semidirect
374. #66991C23semidirect
375. #66991C23semidirect
381. #66990C23semidirect
382. #66990C23semidirect
383. #66990C23semidirect
384. #66990C23semidirect
385. #66990C23semidirect
388. #66989C23semidirect
389. #66989C23semidirect
390. #66989C23semidirect
391. #66989C23semidirect
392. #66989C23semidirect
393. #66989C23semidirect
394. #66989C23semidirect
395. #66989C23semidirect
397. #66988C23semidirect
398. #66988C23semidirect
399. #66988C23semidirect
400. #66988C23semidirect
401. #66988C23semidirect
402. #66988C23semidirect
403. D4×Dic11C23semidirect
404. D4×Dic11C23semidirect
405. D4×Dic11C23semidirect
406. D4×Dic11C23semidirect
409. #66983C23semidirect
410. #66983C23semidirect
411. #66983C23semidirect
413. #66982C23semidirect
414. #66982C23semidirect
415. #66982C23semidirect
416. #66982C23semidirect
417. #66982C23semidirect
418. #66982C23semidirect
419. C4×C22⋊D11C23semidirect
420. C4×C22⋊D11C23semidirect
421. C4×C22⋊D11C23semidirect
422. C4×C22⋊D11C23semidirect
423. C4×C22⋊D11C23semidirect
424. C4×C22⋊D11C23semidirect
425. C4×C22⋊D11C23semidirect
426. C2×(C2×D11)⋊C4C23semidirect
427. C2×(C2×D11)⋊C4C23semidirect
428. C2×(C2×D11)⋊C4C23semidirect
429. C2×(C2×D11)⋊C4C23semidirect
430. C2×(C2×D11)⋊C4C23semidirect
431. #66979C23semidirect
432. #66979C23semidirect
433. #66979C23semidirect
434. #66977C23semidirect
435. #66977C23semidirect
436. #66977C23semidirect
437. #66977C23semidirect
438. #66977C23semidirect
439. C2×C4×Dic11C23semidirect
440. C2×C4×Dic11C23semidirect
441. #66951C23semidirect
442. #66951C23semidirect
443. #66951C23semidirect
444. #66951C23semidirect
445. #66951C23semidirect
446. #66951C23semidirect
447. #66951C23semidirect
448. #66951C23semidirect
449. #66951C23semidirect
450. #66950C23semidirect
451. #66950C23semidirect
452. #66950C23semidirect
453. #66950C23semidirect
454. #66950C23semidirect
455. #66949C23semidirect
456. #66949C23semidirect
457. #66949C23semidirect
458. #66949C23semidirect
459. #66949C23semidirect
460. #66949C23semidirect
461. #66949C23semidirect
462. #66949C23semidirect
463. #66949C23semidirect
466. #66948C23semidirect
467. #66948C23semidirect
468. #66948C23semidirect
470. #66947C23semidirect
471. #66947C23semidirect
472. #66947C23semidirect
473. #66947C23semidirect
474. #66947C23semidirect
475. #66947C23semidirect
476. #66947C23semidirect
477. #66947C23semidirect
478. #66947C23semidirect
479. #66947C23semidirect
480. #66947C23semidirect
481. #66946C23semidirect
482. #66946C23semidirect
483. #66946C23semidirect
484. #66946C23semidirect
485. #66945C23semidirect
486. #66945C23semidirect
487. #66945C23semidirect
488. #66945C23semidirect
489. #66945C23semidirect
499. #66943C23semidirect
500. #66943C23semidirect
501. #66942C23semidirect
502. #66942C23semidirect
503. #66941C23semidirect
504. #66941C23semidirect
505. #66941C23semidirect
506. #66941C23semidirect
507. #66940C23semidirect
508. #66940C23semidirect
510. #66939C23semidirect
511. #66939C23semidirect
512. #66939C23semidirect
513. #66939C23semidirect
514. #66939C23semidirect
515. #66939C23semidirect
518. #66938C23semidirect
519. #66938C23semidirect
520. #66938C23semidirect
521. #66938C23semidirect
522. #66938C23semidirect
523. #66938C23semidirect
524. #66938C23semidirect
525. #66938C23semidirect
526. #66938C23semidirect
527. #66938C23semidirect
528. #66938C23semidirect
529. #66938C23semidirect
530. #66938C23semidirect
531. #66938C23semidirect
532. #66938C23semidirect
533. #66938C23semidirect
534. #66938C23semidirect
535. #66938C23semidirect
536. #66938C23semidirect
537. #66938C23semidirect
541. #66937C23semidirect
542. #66937C23semidirect
543. #66937C23semidirect
544. #66937C23semidirect
545. #66937C23semidirect
546. #66937C23semidirect
548. #66936C23semidirect
549. #66936C23semidirect
550. #66936C23semidirect
551. #66936C23semidirect
552. #66936C23semidirect
553. #66936C23semidirect
554. #66936C23semidirect
555. #66936C23semidirect
556. #66936C23semidirect
557. #66936C23semidirect
558. #66936C23semidirect
564. #66935C23semidirect
565. #66935C23semidirect
566. #66935C23semidirect
567. #66935C23semidirect
568. #66935C23semidirect
569. (C22⋊D11)⋊C4C23semidirect
570. (C22⋊D11)⋊C4C23semidirect
571. (C22⋊D11)⋊C4C23semidirect
572. (C22⋊D11)⋊C4C23semidirect
573. (C22⋊D11)⋊C4C23semidirect
574. (C22⋊D11)⋊C4C23semidirect
575. (C22⋊D11)⋊C4C23semidirect
591. C22⋊C4×D11C23semidirect
592. C22⋊C4×D11C23semidirect
593. C22⋊C4×D11C23semidirect
594. C22⋊C4×D11C23semidirect
595. C22⋊C4×D11C23semidirect
596. C22⋊C4×D11C23semidirect
597. C22⋊C4×D11C23semidirect
598. C22⋊C4×D11C23semidirect
599. C22⋊C4×D11C23semidirect
600. C22⋊C4×D11C23semidirect
601. C22⋊C4×D11C23semidirect
602. #66932C23semidirect
603. #66932C23semidirect
604. #66932C23semidirect
605. #66932C23semidirect
606. #66932C23semidirect
607. #66932C23semidirect
608. #66932C23semidirect
609. #66932C23semidirect
610. #66932C23semidirect
611. #66931C23semidirect
612. #66931C23semidirect
613. #66931C23semidirect
614. #66931C23semidirect
615. #66931C23semidirect
616. #66931C23semidirect
617. #66931C23semidirect
618. #66931C23semidirect
619. #66931C23semidirect
620. #66930C23semidirect
621. #66930C23semidirect
622. #66930C23semidirect
623. #66930C23semidirect
624. #66930C23semidirect
625. #66929C23semidirect
626. #66929C23semidirect
627. #66929C23semidirect
630. #66928C23semidirect
631. #66928C23semidirect
632. #66928C23semidirect
633. #66928C23semidirect
634. #66928C23semidirect
635. #66928C23semidirect
636. #66928C23semidirect
637. #66928C23semidirect
638. C4×D44C23semidirect
639. C4×D44C23semidirect
640. C4×D44C23semidirect
641. C4×D44C23semidirect
642. #66925C23semidirect
643. #66925C23semidirect
644. #66925C23semidirect
645. #66925C23semidirect
646. #66925C23semidirect
647. #66925C23semidirect
654. C42×D11C23semidirect
655. C42×D11C23semidirect
656. C42×D11C23semidirect
657. #66923C23semidirect
658. #66922C23semidirect
659. #66922C23semidirect
660. C4×Dic22C23semidirect
661. C4×Dic22C23semidirect
932. #3545D11direct (N × H)
1093. #563C2×D11semidirect
1103. #562C2×D11semidirect
1110. H(3,𝔽4)C2×D11semidirect
1120. #555C2×D11semidirect
1145. #551C2×D11semidirect
1146. #551C2×D11semidirect
1162. #546C2×D11semidirect
1178. #542C2×D11semidirect
1194. #538C2×D11semidirect
1206. #536C2×D11semidirect
1218. #534C2×D11semidirect
1232. #529C2×D11semidirect
1256. C2×#124C2×D11semidirect
1360. C22×Q8C22×D11semidirect
1383. C22×D4C22×D11semidirect
1401. C4⋊Q8C22×D11semidirect
1402. C4⋊Q8C22×D11semidirect
1424. #126C22×D11semidirect
1425. #126C22×D11semidirect
1426. #126C22×D11semidirect
1432. #125C22×D11semidirect
1487. #124C22×D11semidirect
1488. #124C22×D11semidirect
1489. #124C22×D11semidirect
1490. #124C22×D11semidirect
1491. #124C22×D11semidirect
1492. #124C22×D11semidirect
1493. #124C22×D11semidirect
1494. #124C22×D11semidirect
1541. #123C22×D11semidirect
1542. #123C22×D11semidirect
1543. #123C22×D11semidirect
1544. #123C22×D11semidirect
1545. #123C22×D11semidirect
1546. #123C22×D11semidirect
1580. C22⋊Q8C22×D11semidirect
1581. C22⋊Q8C22×D11semidirect
1582. C22⋊Q8C22×D11semidirect
1583. C22⋊Q8C22×D11semidirect
1584. C22⋊Q8C22×D11semidirect
1620. #121C22×D11semidirect
1621. #121C22×D11semidirect
1622. #121C22×D11semidirect
1649. #120C22×D11semidirect
1650. #120C22×D11semidirect
1656. C4×Q8C22×D11semidirect
1683. C4×D4C22×D11semidirect
1684. C4×D4C22×D11semidirect
1685. C4×D4C22×D11semidirect
1686. C4×D4C22×D11semidirect
1706. #117C22×D11semidirect
1707. #117C22×D11semidirect
1708. #117C22×D11semidirect
1752. C2×C22⋊C4C22×D11semidirect
1753. C2×C22⋊C4C22×D11semidirect
1754. C2×C22⋊C4C22×D11semidirect
1766. C2×C42C22×D11semidirect
1777. D11#3545direct (N × H)
2034. C11C2×#3545semidirect

Maximal subgroups

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

subgroupindex
#130829742
#130829732
#130829722
#130829712
#130829702
#130829692
#130829682
#130829672
#130829662
#130829652
#130829642
#130829632
#130829622
D11×#5632
D11×#5622
D11×H(3,𝔽4)2
D11×#5552
D11×#5512
D11×#5462
D11×#5422
D11×#5382
D11×#5362
D11×#5342
D11×#5292
C2×D11×#1242
C11×#35452
C2×#354511