Finite Group Databasebeta

← #15661432

Subgroups — #15661432

Order 2816.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2438 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083191C214yesmaximal, complemented
2#13083178C212yesmaximal, complemented
3#13083156C214yesmaximal, complemented
4#13083154C211yesmaximal, characteristic, complemented
5#13083147C211yesmaximal, characteristic, complemented
6#13083135C211yesmaximal, characteristic, complemented
7#13083129C212yesmaximal, complemented
8#13083086C212yesmaximal, complemented
9#13083052C212yesmaximal, complemented
10#13082980C212yesmaximal, complemented
11#13082942C212yesmaximal, complemented
12#13082847C212yesmaximal, complemented
13#13082832C212yesmaximal, complemented
14#13082807C212yesmaximal, complemented
15#13082803C212yesmaximal, complemented
16#13082756C212yesmaximal, complemented
17#13082753C212yesmaximal, complemented
18#13082225C212yesmaximal, complemented
19#13082221C212yesmaximal, complemented
20#13082206C212yesmaximal, complemented
21#13082100C214yesmaximal, complemented
22D4×#4341C212yesmaximal, complemented
23#13082036C212yesmaximal, complemented
24#13082029C212yesmaximal, complemented
25#13082027C214yesmaximal, complemented
26#13081998C212yesmaximal, complemented
27#13081942C212yesmaximal, complemented
28#13081910C211yesmaximal, characteristic, complemented
29D11×#532C211yesmaximal, characteristic, complemented
30C2×#10623211C211yesmaximal, characteristic, complemented
31C11×#3558C211yesmaximal, characteristic, complemented
32C2×#41×D11C2212yescomplemented
33C22×#4341C2214yescomplemented
34C11×#562C2212yescomplemented
35C11×H(3,𝔽4)C2212yescomplemented
36C11×#559C2212yescomplemented
37C11×#548C2212yescomplemented
38C11×#546C2214yescomplemented
39C11×#546C2212yescomplemented
40D42×C11C2212yescomplemented
41C11×#542C2212yescomplemented
42C11×#538C2214yescomplemented
43C11×#538C2212yescomplemented
44C11×#535C2212yescomplemented
45C11×#534C2212yescomplemented
46C11×#532C2211yescharacteristic, complemented
47C11×#529C2211yescharacteristic, complemented
48C2×C11×#124C2211yescharacteristic, complemented
49#10623365C2212yescomplemented
50#10623364C2212yescomplemented
51#10623363C2212yescomplemented
52#10623360C2212yescomplemented
53#41×Dic11C2212yescomplemented
54#10623355C2214yescomplemented
55#10623348C2212yescomplemented
56C2×#66999C2211yescharacteristic, complemented
57C2×Q8×Dic11C2211yescharacteristic, complemented
58#10623337C2214yescomplemented
59#10623336C2212yescomplemented
60#10623335C2214yescomplemented
61D4×C22⋊D11C2212yescomplemented
62D4×C22⋊D11C2212yescomplemented
63D4×C22⋊D11C2214yescomplemented
64D4×C22⋊D11C2212yescomplemented
65C2×#66991C2211yescharacteristic
66C2×D4×Dic11C2211yescharacteristic, complemented
67C2×D4×Dic11C2212yescomplemented
68#10623260C2212yescomplemented
69#10623256C2211yescharacteristic, complemented
70D11×C4⋊Q8C2211yescharacteristic, complemented
71#10623250C2212yescomplemented
72#10623250C2212yescomplemented
73#10623249C2212yescomplemented
74#10623248C2212yescomplemented
75#10623247C2211yescharacteristic, complemented
76#10623247C2212yescomplemented
77D11×#127C2211yescharacteristic, complemented
78#10623238C2214yescomplemented
79#10623238C2214yescomplemented
80#10623237C2212yescomplemented
81#10623237C2212yescomplemented
82#10623237C2214yescomplemented
83#10623235C2214yescomplemented
84#10623232C2214yescomplemented
85#10623230C2212yescomplemented
86#10623222C2211yescharacteristic, complemented
87#10623219C2211yescharacteristic, complemented
88#10623215C2212yescomplemented
89#10623215C2212yescomplemented
90#10623215C2212yescomplemented
91#10623215C2214yescomplemented
92#10623215C2214yescomplemented
93#10623214C2212yescomplemented
94#10623213C2212yescomplemented
95#10623213C2212yescomplemented
96#10623212C2214yescomplemented
97#10623212C2212yescomplemented
98#10623212C2212yescomplemented
99#10623211C2212yescomplemented
100#10623211C2212yescomplemented
101#10623211C2212yescomplemented
102#10623211C2212yescomplemented
103#10623211C2212yescomplemented
104#10623211C2212yescomplemented
105#10623211C2212yescomplemented
106#10623211C2212yescomplemented
107#10623211C2211yescharacteristic, complemented
108#10623211C2212yescomplemented
109#10623211C2214yescomplemented
110#10623211C2214yescomplemented
111#10623209C2214yescomplemented
112#10623209C2214yescomplemented
113#10623209C2214yescomplemented
114#10623208C2214yescomplemented
115#10623207C2212yescomplemented
116#10623207C2212yescomplemented
117#10623207C2214yescomplemented
118#10623205C2212yescomplemented
119D11×#124C2212yescomplemented
120#10623203C2212yescomplemented
121#10623203C2214yescomplemented
122#10623200C2214yescomplemented
123#10623199C2212yescomplemented
124#10623199C2211yescharacteristic, complemented
125#10623199C2214yescomplemented
126#10623198C2214yescomplemented
127#10623197C2214yescomplemented
128#10623194C2214yescomplemented
129#10623193C2214yescomplemented
130#10623191C2214yescomplemented
131#10623191C2214yescomplemented
132#10623190C2214yescomplemented
133#10623190C2214yescomplemented
134#10623189C2214yescomplemented
135#10623187C2212yescomplemented
136#10623187C2214yescomplemented
137#10623187C2214yescomplemented
138#10623187C2214yescomplemented
139#10623186C2214yescomplemented
140#10623186C2214yescomplemented
141#10623180C2212yescomplemented
142#10623180C2214yescomplemented
143#10623179C2214yescomplemented
144#10623179C2214yescomplemented
145#10623178C2214yescomplemented
146#10623177C2214yescomplemented
147#10623176C2212yescomplemented
148#10623172C2214yescomplemented
149#10623172C2212yescomplemented
150#10623171C2214yescomplemented
151#10623166C2212yescomplemented
152#10623165C2214yescomplemented
153#10623163C2214yescomplemented
154#10623160C2212yescomplemented
155#10623158C2211yescharacteristic, complemented
156#10623158C2214yescomplemented
157#10623155C2212yescomplemented
158#10623155C2214yescomplemented
159#10623153C2211yescharacteristic, complemented
160#10623151C2214yescomplemented
161#10623151C2214yescomplemented
162#10623150C2214yescomplemented
163#10623149C2212yescomplemented
164#10623149C2214yescomplemented
165#10623146C2214yescomplemented
166#10623145C2212yescomplemented
167#10623144C2214yescomplemented
168#10623144C2214yescomplemented
169#10623142C2212yescomplemented
170#10623142C2212yescomplemented
171#10623141C2214yescomplemented
172#10623141C2214yescomplemented
173#10623138C2212yescomplemented
174#10623137C2211yescharacteristic, complemented
175#10623137C2214yescomplemented
176#10623137C2214yescomplemented
177#10623136C2214yescomplemented
178D11×#121C2212yescomplemented
179D11×#121C2212yescomplemented
180#10623134C2214yescomplemented
181#10623133C2212yescomplemented
182#10623132C2214yescomplemented
183#10623131C2214yescomplemented
184#10623130C2214yescomplemented
185#10623129C2214yescomplemented
186#10623128C2212yescomplemented
187#10623128C2212yescomplemented
188#10623128C2214yescomplemented
189#10623127C2212yescomplemented
190#10623127C2212yescomplemented
191#10623127C2211yescharacteristic, complemented
192#10623127C2214yescomplemented
193#10623127C2212yescomplemented
194#10623127C2214yescomplemented
195#10623126C2214yescomplemented
196#10623126C2214yescomplemented
197#10623126C2214yescomplemented
198#10623124C2214yescomplemented
199#10623124C2214yescomplemented
200#10623124C2214yescomplemented
201#10623123C2214yescomplemented
202#10623123C2214yescomplemented
203#10623122C2214yescomplemented
204#10623122C2214yescomplemented
205#10623122C2214yescomplemented
206#10623121C2214yescomplemented
207#10623121C2214yescomplemented
208#10623120C2214yescomplemented
209#10623120C2214yescomplemented
210#10623117C2214yescomplemented
211#10623117C2214yescomplemented
212#10623117C2214yescomplemented
213#10623117C2214yescomplemented
214#10623117C2214yescomplemented
215#10623113C2212yescomplemented
216#10623110C2212yescomplemented
217#10623110C2212yescomplemented
218#10623109C2211yescharacteristic, complemented
219C4×#4343C2211yescharacteristic, complemented
220C4×#4343C2212yescomplemented
221#10623100C2212yescomplemented
222#10623096C2212yescomplemented
223#10623096C2212yescomplemented
224#10623096C2214yescomplemented
225#10623095C2214yescomplemented
226#10623095C2214yescomplemented
227#10623095C2214yescomplemented
228#10623093C2212yescomplemented
229#10623089C2212yescomplemented
230#10623089C2214yescomplemented
231#10623089C2212yescomplemented
232#10623086C2212yescomplemented
233#10623085C2214yescomplemented
234#10623083C2214yescomplemented
235#10623079C2212yescomplemented
236#10623079C2212yescomplemented
237#10623079C2211yescharacteristic, complemented
238#10623078C2212yescomplemented
239C4×D4×D11C2212yescomplemented
240C4×D4×D11C2212yescomplemented
241C4×D4×D11C2214yescomplemented
242C4×D4×D11C2212yescomplemented
243#10623070C2212yescomplemented
244D4×Dic22C2212yescomplemented
245C4×#4341C2212yescomplemented
246C4×#4341C2211yescharacteristic, complemented
247C4×#4341C2214yescomplemented
248#10623066C2212yescomplemented
249#10623059C2212yescomplemented
250#10623053C2212yescomplemented
251#10623050C2212yescomplemented
252#10623026C2214yescomplemented
253#10623025C2214yescomplemented
254#10623025C2212yescomplemented
255#10623024C2212yescomplemented
256#10623021C2214yescomplemented
257#10623021C2214yescomplemented
258C2×#66936C2212yescomplemented
259C2×(C22⋊D11)⋊C4C2212yescomplemented
260C2×(C22⋊D11)⋊C4C2214yescomplemented
261C2×#66932C2212yescomplemented
262C2×#66930C2212yescomplemented
263#10623010C2211yescharacteristic, complemented
264#10623008C2211yescharacteristic, complemented
265C2×C42×D11C2211yescharacteristic, complemented
266C2×#66923C2211yescharacteristic, complemented
267C2×C11×#41C2312yes—
268C2×C11×#41C2312yes—
269C22×Q8×C11C2311yescharacteristic
270C22×D4×C11C2311yescharacteristic
271C22×D4×C11C2312yes—
272C22×D4×C11C2314yes—
273C22×C22⋊D11C2312yes—
274C22×C22⋊D11C2314yes—
275C22×C22⋊D11C2314yes—
276C22×C22⋊D11C2314yes—
277C23×Dic11C2312yes—
278C23×Dic11C2314yes—
279#41×D11—48no—
280C2×#4343C2312yes—
281C2×#4343C2312yes—
282C2×#4343C2311yescharacteristic
283C2×Q8×D11C2312yes—
284C2×#4341—416no—
285C2×#4341C2314yes—
286C2×#4341C2312yes—
287C2×#4341C2312yes—
288C2×#4341C2314yes—
289C2×#4341C2314yes—
290C2×#4341C2311yescharacteristic
291C2×#4341C2314yes—
292C2×#4341C2314yes—
293C2×#4341C2314yes—
294C2×#4341C2314yes—
295C2×D4×D11C2312yes—
296C2×D4×D11C2312yes—
297C2×D4×D11C2312yes—
298C2×D4×D11C2312yes—
299C2×D4×D11C2314yes—
300C2×D4×D11C2314yes—
301C2×#4339C2312yes—
302C2×#4339C2314yes—
303C2×#4339C2312yes—
304C22×C4×D11C2311yescharacteristic
305C22×C4×D11C2311yescharacteristic
306C22×C4×D11C2311yescharacteristic
307C22×C4×D11C2314yes—
308C22×C4×D11C2314yes—
309C22×Dic22C2314yes—
310C11×C4⋊Q8C2311yescharacteristic
311C11×#127C2311yescharacteristic
312C11×#127C2312yes—
313C11×#126C2314yes—
314C11×#126C2312yes—
315C11×#125C2311yescharacteristic
316C11×#124C2312yes—
317C11×#124C2312yes—
318C11×#124C2312yes—
319C11×#124C2312yes—
320C11×#124C2311yescharacteristic
321C11×#124C2312yes—
322C11×#124C2312yes—
323C11×#124C2314yes—
324C11×#124C2314yes—
325C11×#124C2314yes—
326C11×#123C2312yes—
327C11×#123C2314yes—
328C11×#123C2314yes—
329C11×#123C2314yes—
330C11×#123C2314yes—
331C11×C22⋊Q8C2311yescharacteristic
332C11×C22⋊Q8C2314yes—
333C11×C22⋊Q8C2312yes—
334C11×C22⋊Q8C2314yes—
335C11×#121C2311yescharacteristic
336C11×#121C2312yes—
337C11×#121C2314yes—
338C11×#121C2314yes—
339C11×#121C2312yes—
340C11×#121C2312yes—
341C11×#121C2314yes—
342C11×#121C2314yes—
343C11×#121C2314yes—
344C11×#120C2314yes—
345C11×#120C2314yes—
346C11×#120C2314yes—
347C11×#120C2314yes—
348C11×#120C2314yes—
349C4×Q8×C11C2312yes—
350C4×Q8×C11C2311yescharacteristic
351C4×D4×C11C2312yes—
352C4×D4×C11C2311yescharacteristic
353C4×D4×C11C2314yes—
354C4×D4×C11C2312yes—
355C4×D4×C11C2312yes—
356C4×D4×C11C2312yes—
357C4×D4×C11C2314yes—
358C11×#117C2312yes—
359C2×C11×C22⋊C4C2312yes—
360C2×C11×C22⋊C4C2312yes—
361C2×C11×C22⋊C4C2314yes—
362C2×C42×C11C2311yescharacteristic
363#67006C2314yes—
364#67006C2314yes—
365#67006C2314yes—
366#67006C2314yes—
367#67006C2314yes—
368C2×C22⋊Dic11C2312yes—
369C2×C22⋊Dic11C2312yes—
370C2×C22⋊Dic11C2314yes—
371#67000C2312yes—
372#67000C2312yes—
373#67000C2314yes—
374#66999C2314yes—
375#66999C2312yes—
376#66999C2312yes—
377#66999C2312yes—
378#66999C2312yes—
379#66999C2312yes—
380#66999C2314yes—
381#66999C2311yescharacteristic
382#66999C2314yes—
383Q8×Dic11C2312yes—
384Q8×Dic11C2312yes—
385Q8×Dic11C2312yes—
386Q8×Dic11C2312yes—
387Q8×Dic11C2312yes—
388Q8×Dic11C2311yescharacteristic
389#66997C2312yes—
390#66997C2314yes—
391#66997C2311yescharacteristic
392#66993C2312yes—
393#66993C2312yes—
394#66993C2312yes—
395#66993C2312yes—
396#66993C2314yes—
397#66993C2311yescharacteristic
398#66993C2314yes—
399#66993C2314yes—
400#66992C2314yes—
401#66992C2314yes—
402#66992C2314yes—
403#66992C2314yes—
404#66992C2314yes—
405#66992C2314yes—
406#66992C2314yes—
407#66992C2314yes—
408#66992C2314yes—
409#66992C2314yes—
410#66992C2312yes—
411#66992C2314yes—
412#66992C2314yes—
413#66992C2314yes—
414#66992C2314yes—
415#66992C2314yes—
416#66992C2314yes—
417#66992C2314yes—
418#66992C2314yes—
419#66991C2312yes—
420#66991C2312yes—
421#66991C2312yes—
422#66991C2312yes—
423#66991C2314yes—
424#66991C2312yes—
425#66991C2312yes—
426#66991C2314yes—
427#66991C2314yes—
428#66991C2312yes—
429#66991C2312yes—
430#66991C2312yes—
431#66991C2314yes—
432#66991C2311yescharacteristic
433#66991C2314yes—
434#66990C2314yes—
435#66990C2314yes—
436#66990C2312yes—
437#66990C2314yes—
438#66990C2314yes—
439#66990C2314yes—
440#66990C2314yes—
441#66990C2314yes—
442#66989C2314yes—
443#66989C2312yes—
444#66989C2314yes—
445#66988C2314yes—
446#66988C2314yes—
447#66988C2314yes—
448#66988C2314yes—
449#66988C2314yes—
450#66988C2314yes—
451#66988C2314yes—
452D4×Dic11C2312yes—
453D4×Dic11C2312yes—
454D4×Dic11C2314yes—
455D4×Dic11C2312yes—
456D4×Dic11C2312yes—
457D4×Dic11C2312yes—
458D4×Dic11C2312yes—
459D4×Dic11C2312yes—
460D4×Dic11C2314yes—
461D4×Dic11C2312yes—
462D4×Dic11C2311yescharacteristic
463D4×Dic11C2312yes—
464D4×Dic11C2314yes—
465D4×Dic11C2312yes—
466D4×Dic11C2314yes—
467D4×Dic11C2314yes—
468D4×Dic11C2314yes—
469#66983C2312yes—
470#66983C2312yes—
471#66983C2311yescharacteristic
472#66983C2314yes—
473#66983C2314yes—
474#66983C2314yes—
475#66983C2312yes—
476#66983C2312yes—
477#66983C2314yes—
478#66982C2312yes—
479#66982C2314yes—
480#66982C2314yes—
481#66982C2314yes—
482#66982C2314yes—
483C4×C22⋊D11C2312yes—
484C4×C22⋊D11C2314yes—
485C4×C22⋊D11C2314yes—
486C4×C22⋊D11C2314yes—
487C4×C22⋊D11C2314yes—
488C4×C22⋊D11C2314yes—
489C4×C22⋊D11C2312yes—
490C4×C22⋊D11C2312yes—
491C4×C22⋊D11C2314yes—
492C4×C22⋊D11C2314yes—
493C2×(C2×D11)⋊C4C2312yes—
494C2×(C2×D11)⋊C4C2314yes—
495#66979C2314yes—
496#66979C2312yes—
497C2×C4⋊Dic11C2311yescharacteristic
498C2×C4⋊Dic11C2311yescharacteristic
499C2×C4⋊Dic11C2312yes—
500C2×C4⋊Dic11C2312yes—
501#66977C2311yescharacteristic
502#66977C2314yes—
503#66977C2314yes—
504#66977C2314yes—
505C2×Dic11⋊C4C2312yes—
506C2×Dic11⋊C4C2312yes—
507C2×Dic11⋊C4C2312yes—
508C2×Dic11⋊C4C2314yes—
509C2×C4×Dic11C2311yescharacteristic
510C2×C4×Dic11C2311yescharacteristic
511C2×C4×Dic11C2311yescharacteristic
512C2×C4×Dic11C2312yes—
513C2×C4×Dic11C2314yes—
514C2×C4×Dic11C2312yes—
515#66951C2314yes—
516#66951C2314yes—
517#66951C2314yes—
518#66951C2312yes—
519#66951C2314yes—
520#66950C2314yes—
521#66950C2314yes—
522#66950C2311yescharacteristic
523#66949C2314yes—
524#66949C2312yes—
525#66949C2312yes—
526#66949C2314yes—
527#66949C2314yes—
528#66949C2312yes—
529#66949C2314yes—
530#66949C2314yes—
531#66949C2314yes—
532#66949C2314yes—
533#66948C2312yes—
534#66948C2314yes—
535#66948C2312yes—
536#66948C2311yescharacteristic
537#66947C2314yes—
538#66947C2312yes—
539#66947C2312yes—
540#66947C2314yes—
541#66947C2314yes—
542#66946C2312yes—
543#66946C2312yes—
544#66946C2312yes—
545#66946C2312yes—
546#66946C2312yes—
547#66946C2314yes—
548#66946C2311yescharacteristic
549#66945C2312yes—
550#66945C2314yes—
551#66945C2312yes—
552#66945C2312yes—
553#66945C2311yescharacteristic
554#66945C2311yescharacteristic
555#66945C2314yes—
556C4⋊C4×D11C2312yes—
557C4⋊C4×D11C2314yes—
558C4⋊C4×D11C2312yes—
559C4⋊C4×D11C2312yes—
560#66943C2314yes—
561#66943C2312yes—
562#66943C2314yes—
563#66942C2312yes—
564#66942C2314yes—
565#66942C2314yes—
566#66942C2312yes—
567#66941C2312yes—
568#66941C2312yes—
569#66941C2312yes—
570#66941C2314yes—
571#66941C2311yescharacteristic
572#66941C2314yes—
573#66941C2311yescharacteristic
574#66940C2314yes—
575#66940C2312yes—
576#66940C2312yes—
577#66940C2312yes—
578#66940C2311yescharacteristic
579#66939C2314yes—
580#66939C2314yes—
581#66939C2314yes—
582#66939C2314yes—
583#66939C2314yes—
584#66939C2314yes—
585#66939C2314yes—
586#66939C2314yes—
587#66938C2314yes—
588#66938C2312yes—
589#66938C2314yes—
590#66938C2312yes—
591#66938C2314yes—
592#66938C2314yes—
593#66938C2314yes—
594#66938C2314yes—
595#66938C2314yes—
596#66938C2314yes—
597#66938C2314yes—
598#66937C2314yes—
599#66937C2312yes—
600#66937C2314yes—
601#66937C2312yes—
602#66937C2314yes—
603#66937C2314yes—
604#66937C2314yes—
605#66937C2314yes—
606#66937C2314yes—
607#66937C2314yes—
608#66937C2312yes—
609#66937C2314yes—
610#66937C2314yes—
611#66937C2314yes—
612#66937C2314yes—
613#66937C2314yes—
614#66936C2314yes—
615#66936C2312yes—
616#66936C2312yes—
617#66936C2314yes—
618#66936C2314yes—
619#66936C2314yes—
620#66936C2314yes—
621#66936C2314yes—
622#66936C2314yes—
623#66936C2314yes—
624#66936C2314yes—
625#66936C2314yes—
626#66936C2314yes—
627#66936C2314yes—
628#66936C2314yes—
629#66936C2314yes—
630#66935C2314yes—
631#66935C2314yes—
632#66935C2314yes—
633#66935C2314yes—
634#66935C2312yes—
635#66935C2314yes—
636(C22⋊D11)⋊C4C2312yes—
637(C22⋊D11)⋊C4C2314yes—
638(C22⋊D11)⋊C4C2312yes—
639(C22⋊D11)⋊C4C2312yes—
640(C22⋊D11)⋊C4C2312yes—
641(C22⋊D11)⋊C4C2314yes—
642(C22⋊D11)⋊C4C2314yes—
643(C22⋊D11)⋊C4C2314yes—
644(C22⋊D11)⋊C4C2314yes—
645(C22⋊D11)⋊C4C2314yes—
646(C22⋊D11)⋊C4C2314yes—
647(C22⋊D11)⋊C4C2314yes—
648(C22⋊D11)⋊C4C2314yes—
649(C22⋊D11)⋊C4C2314yes—
650(C22⋊D11)⋊C4C2314yes—
651(C22⋊D11)⋊C4C2312yes—
652(C22⋊D11)⋊C4C2312yes—
653(C22⋊D11)⋊C4C2314yes—
654(C22⋊D11)⋊C4C2312yes—
655(C22⋊D11)⋊C4C2314yes—
656(C22⋊D11)⋊C4C2314yes—
657(C22⋊D11)⋊C4C2314yes—
658(C22⋊D11)⋊C4C2314yes—
659C22⋊C4×D11C2314yes—
660C22⋊C4×D11C2314yes—
661C22⋊C4×D11C2314yes—
662C22⋊C4×D11C2314yes—
663C22⋊C4×D11C2314yes—
664#66932C2314yes—
665#66932C2314yes—
666#66932C2314yes—
667#66932C2314yes—
668#66932C2314yes—
669#66932C2314yes—
670#66932C2314yes—
671#66932C2314yes—
672#66932C2312yes—
673#66932C2314yes—
674#66932C2314yes—
675#66932C2314yes—
676#66932C2314yes—
677#66931C2314yes—
678#66931C2314yes—
679#66931C2314yes—
680#66931C2314yes—
681#66931C2314yes—
682#66931C2314yes—
683#66931C2314yes—
684#66931C2314yes—
685#66931C2314yes—
686#66931C2312yes—
687#66931C2314yes—
688#66931C2314yes—
689#66930C2314yes—
690#66930C2314yes—
691#66930C2312yes—
692#66930C2312yes—
693#66930C2314yes—
694#66930C2314yes—
695#66930C2312yes—
696#66930C2314yes—
697#66929C2312yes—
698#66929C2314yes—
699#66928C2314yes—
700#66928C2312yes—
701#66928C2311yescharacteristic
702#66927C2311yescharacteristic
703C4×D44C2314yes—
704C4×D44C2312yes—
705C4×D44C2314yes—
706C4×D44C2312yes—
707C4×D44C2312yes—
708C4×D44C2312yes—
709C4×D44C2312yes—
710C4×D44C2311yescharacteristic
711#66925C2312yes—
712#66925C2312yes—
713C42×D11C2311yescharacteristic
714C42×D11C2311yescharacteristic
715C42×D11C2314yes—
716C42×D11C2311yescharacteristic
717C42×D11C2311yescharacteristic
718C42×D11C2312yes—
719C42×D11C2311yescharacteristic
720C42×D11C2311yescharacteristic
721C42×D11C2311yescharacteristic
722C42×D11C2311yescharacteristic
723#66923C2314yes—
724#66923C2312yes—
725#66923C2314yes—
726#66923C2312yes—
727#66923C2312yes—
728#66923C2312yes—
729#66923C2312yes—
730#66923C2311yescharacteristic
731#66922C2311yescharacteristic
732#66922C2312yes—
733C4×Dic22C2314yes—
734C4×Dic22C2312yes—
735C4×Dic22C2311yescharacteristic
736#62748—111nomaximal, Sylow
737C24×C11C2412yes—
738C24×C11C2414yes—
739C23×D11C2411yescharacteristic
740C23×D11C2414yes—
741C23×D11C2414yes—
742C11×#41—44no—
743C11×#41—44no—
744C2×Q8×C11—42no—
745C2×Q8×C11C2412yes—
746C2×Q8×C11C2412yes—
747C2×Q8×C11C2411yescharacteristic
748C2×Q8×C11C2412yes—
749C2×D4×C11—42no—
750C2×D4×C11—44no—
751C2×D4×C11—48no—
752C2×D4×C11C2412yes—
753C2×D4×C11C2412yes—
754C2×D4×C11C2414yes—
755C2×D4×C11C2412yes—
756C2×D4×C11C2414yes—
757C2×D4×C11C2412yes—
758C2×D4×C11C2414yes—
759C2×D4×C11C2412yes—
760C2×D4×C11C2414yes—
761C2×D4×C11C2411yescharacteristic
762C2×D4×C11C2412yes—
763C2×D4×C11C2414yes—
764C2×D4×C11C2414yes—
765C22×C4×C11C2411yescharacteristic
766C22×C4×C11C2411yescharacteristic
767C22×C4×C11C2412yes—
768C22×C4×C11C2411yescharacteristic
769C22×C4×C11C2412yes—
770C22×C4×C11C2414yes—
771C22×C4×C11C2414yes—
772C22×C4×C11C2414yes—
773C2×C22⋊D11—44no—
774C2×C22⋊D11—48no—
775C2×C22⋊D11—48no—
776C2×C22⋊D11—48no—
777C2×C22⋊D11C2414yes—
778C2×C22⋊D11C2412yes—
779C2×C22⋊D11C2412yes—
780C2×C22⋊D11C2412yes—
781C2×C22⋊D11C2414yes—
782C2×C22⋊D11C2414yes—
783C2×C22⋊D11C2414yes—
784C2×C22⋊D11C2414yes—
785C2×C22⋊D11C2412yes—
786C2×C22⋊D11C2414yes—
787C2×C22⋊D11C2412yes—
788C2×C22⋊D11C2414yes—
789C2×C22⋊D11C2414yes—
790C2×C22⋊D11C2414yes—
791C2×C22⋊D11C2414yes—
792C2×C22⋊D11C2414yes—
793C2×C22⋊D11C2414yes—
794C2×C22⋊D11C2414yes—
795C2×C22⋊D11C2414yes—
796C2×C22⋊D11C2414yes—
797C22×Dic11—28no—
798C22×Dic11—48no—
799C22×Dic11C2414yes—
800C22×Dic11C2414yes—
801C22×Dic11C2412yes—
802C22×Dic11C2414yes—
803C22×Dic11C2412yes—
804C22×Dic11C2412yes—
805C22×Dic11C2414yes—
806C22×Dic11C2414yes—
807C22×Dic11C2414yes—
808C22×Dic11C2411yescharacteristic
809C22×Dic11C2414yes—
810C22×Dic11C2411yescharacteristic
811C22×Dic11C2412yes—
812C22×Dic11C2411yescharacteristic
813#4343—44no—
814#4343—44no—
815#4343—42no—
816Q8×D11—44no—
817#4341—28no—
818#4341—216no—
819#4341—48no—
820#4341—48no—
821#4341—48no—
822#4341—48no—
823#4341—48no—
824#4341—48no—
825#4341—44no—
826#4341—42no—
827D4×D11—48no—
828D4×D11—44no—
829D4×D11—44no—
830D4×D11—44no—
831D4×D11—48no—
832D4×D11—44no—
833#4339—44no—
834#4339—44no—
835#4339—48no—
836C2×D44C2412yes—
837C2×D44C2412yes—
838C2×D44C2412yes—
839C2×D44C2411yescharacteristic
840C2×D44C2414yes—
841C2×D44C2412yes—
842C2×D44C2414yes—
843C2×D44C2412yes—
844C2×C4×D11—24no—
845C2×C4×D11—42no—
846C2×C4×D11—42no—
847C2×C4×D11—48no—
848C2×C4×D11—48no—
849C2×C4×D11C2411yescharacteristic
850C2×C4×D11C2411yescharacteristic
851C2×C4×D11C2411yescharacteristic
852C2×C4×D11C2411yescharacteristic
853C2×C4×D11C2411yescharacteristic
854C2×C4×D11C2411yescharacteristic
855C2×C4×D11C2411yescharacteristic
856C2×C4×D11C2411yescharacteristic
857C2×C4×D11C2412yes—
858C2×C4×D11C2414yes—
859C2×C4×D11C2412yes—
860C2×C4×D11C2411yescharacteristic
861C2×C4×D11C2411yescharacteristic
862C2×C4×D11C2411yescharacteristic
863C2×C4×D11C2411yescharacteristic
864C2×C4×D11C2412yes—
865C2×C4×D11C2414yes—
866C2×C4×D11C2414yes—
867C2×C4×D11C2414yes—
868C2×C4×D11C2414yes—
869C2×C4×D11C2414yes—
870C2×C4×D11C2414yes—
871C2×Dic22—48no—
872C2×Dic22C2414yes—
873C2×Dic22C2412yes—
874C2×Dic22C2411yescharacteristic
875C2×Dic22C2412yes—
876C2×Dic22C2414yes—
877C2×Dic22C2414yes—
878C2×Dic22C2412yes—
879C11×C4⋊C4C2412yes—
880C11×C4⋊C4C2411yescharacteristic
881C11×C4⋊C4C2412yes—
882C11×C4⋊C4C2414yes—
883C11×C4⋊C4C2412yes—
884C11×C4⋊C4C2412yes—
885C11×C4⋊C4C2412yes—
886C11×C4⋊C4C2414yes—
887C11×C4⋊C4C2411yescharacteristic
888C11×C4⋊C4C2412yes—
889C11×C22⋊C4C2414yes—
890C11×C22⋊C4C2414yes—
891C11×C22⋊C4C2412yes—
892C11×C22⋊C4C2414yes—
893C11×C22⋊C4C2412yes—
894C11×C22⋊C4C2412yes—
895C11×C22⋊C4C2414yes—
896C11×C22⋊C4C2414yes—
897C11×C22⋊C4C2412yes—
898C11×C22⋊C4C2412yes—
899C11×C22⋊C4C2414yes—
900C11×C22⋊C4C2414yes—
901C11×C22⋊C4C2414yes—
902C11×C22⋊C4C2414yes—
903C11×C22⋊C4C2414yes—
904C11×C22⋊C4C2414yes—
905C42×C11C2412yes—
906C42×C11C2411yescharacteristic
907C42×C11C2414yes—
908C42×C11C2411yescharacteristic
909C42×C11C2411yescharacteristic
910C42×C11C2411yescharacteristic
911C22⋊Dic11C2414yes—
912C22⋊Dic11C2414yes—
913C22⋊Dic11C2412yes—
914C22⋊Dic11C2412yes—
915C22⋊Dic11C2412yes—
916C22⋊Dic11C2414yes—
917C22⋊Dic11C2414yes—
918C22⋊Dic11C2414yes—
919C22⋊Dic11C2414yes—
920C22⋊Dic11C2414yes—
921C22⋊Dic11C2414yes—
922C22⋊Dic11C2414yes—
923C22⋊Dic11C2414yes—
924C22⋊Dic11C2414yes—
925C22⋊Dic11C2414yes—
926C22⋊Dic11C2414yes—
927(C2×D11)⋊C4C2412yes—
928(C2×D11)⋊C4C2412yes—
929(C2×D11)⋊C4C2412yes—
930(C2×D11)⋊C4C2412yes—
931(C2×D11)⋊C4C2414yes—
932(C2×D11)⋊C4C2414yes—
933(C2×D11)⋊C4C2414yes—
934(C2×D11)⋊C4C2412yes—
935(C2×D11)⋊C4C2412yes—
936(C2×D11)⋊C4C2414yes—
937(C2×D11)⋊C4C2414yes—
938(C2×D11)⋊C4C2414yes—
939(C2×D11)⋊C4C2414yes—
940(C2×D11)⋊C4C2412yes—
941(C2×D11)⋊C4C2414yes—
942(C2×D11)⋊C4C2412yes—
943(C2×D11)⋊C4C2414yes—
944(C2×D11)⋊C4C2414yes—
945(C2×D11)⋊C4C2414yes—
946(C2×D11)⋊C4C2414yes—
947(C2×D11)⋊C4C2412yes—
948(C2×D11)⋊C4C2414yes—
949(C2×D11)⋊C4C2414yes—
950(C2×D11)⋊C4C2412yes—
951C4⋊Dic11C2411yescharacteristic
952C4⋊Dic11C2414yes—
953C4⋊Dic11C2412yes—
954C4⋊Dic11C2412yes—
955C4⋊Dic11C2412yes—
956C4⋊Dic11C2414yes—
957C4⋊Dic11C2412yes—
958C4⋊Dic11C2412yes—
959C4⋊Dic11C2412yes—
960C4⋊Dic11C2412yes—
961C4⋊Dic11C2412yes—
962C4⋊Dic11C2411yescharacteristic
963C4⋊Dic11C2414yes—
964C4⋊Dic11C2414yes—
965C4⋊Dic11C2414yes—
966C4⋊Dic11C2414yes—
967Dic11⋊C4C2412yes—
968Dic11⋊C4C2412yes—
969Dic11⋊C4C2414yes—
970Dic11⋊C4C2412yes—
971Dic11⋊C4C2414yes—
972Dic11⋊C4C2414yes—
973Dic11⋊C4C2414yes—
974Dic11⋊C4C2414yes—
975Dic11⋊C4C2412yes—
976Dic11⋊C4C2412yes—
977Dic11⋊C4C2414yes—
978Dic11⋊C4C2414yes—
979Dic11⋊C4C2414yes—
980Dic11⋊C4C2414yes—
981Dic11⋊C4C2414yes—
982Dic11⋊C4C2414yes—
983Dic11⋊C4C2414yes—
984Dic11⋊C4C2412yes—
985Dic11⋊C4C2412yes—
986Dic11⋊C4C2412yes—
987Dic11⋊C4C2414yes—
988Dic11⋊C4C2414yes—
989Dic11⋊C4C2412yes—
990Dic11⋊C4C2412yes—
991C4×Dic11C2411yescharacteristic
992C4×Dic11C2412yes—
993C4×Dic11C2414yes—
994C4×Dic11C2414yes—
995C4×Dic11C2411yescharacteristic
996C4×Dic11C2412yes—
997C4×Dic11C2411yescharacteristic
998C4×Dic11C2411yescharacteristic
999C4×Dic11C2411yescharacteristic
1000C4×Dic11C2411yescharacteristic
1001C4×Dic11C2411yescharacteristic
1002C4×Dic11C2411yescharacteristic
1003C4×Dic11C2411yescharacteristic
1004C4×Dic11C2411yescharacteristic
1005C4×Dic11C2411yescharacteristic
1006C4×Dic11C2411yescharacteristic
1007C4×Dic11C2414yes—
1008C4×Dic11C2414yes—
1009C4×Dic11C2412yes—
1010C4×Dic11C2412yes—
1011C4×Dic11C2412yes—
1012C4×Dic11C2414yes—
1013#3562—114no—
1014#3561—112no—
1015#3560—114no—
1016#3559—111no—
1017#3559—111no—
1018#3558—112no—
1019#3558—111no—
1020#3558D1111yescharacteristic, complemented
1021#3554—112no—
1022#3552—112no—
1023#3546—112no—
1024#3543—112no—
1025#3537—112no—
1026#3536—112no—
1027#3534—112no—
1028#3534—112no—
1029#3529—112no—
1030#3529—112no—
1031#3481—112no—
1032#3481—112no—
1033#3480—112no—
1034D4×#41—114no—
1035D4×#41—112no—
1036#3460—112no—
1037#3460—112no—
1038#3459—114no—
1039#3455—112no—
1040#3449—112no—
1041#3444—111no—
1042C2×#532—111no—
1043C2×#529—111no—
1044C23×C11—24no—
1045C23×C11—44no—
1046C23×C11—42no—
1047C23×C11—44no—
1048C23×C11—42no—
1049C23×C11—44no—
1050C23×C11C2514yes—
1051C23×C11C2514yes—
1052C23×C11C2512yes—
1053C23×C11C2511yescharacteristic
1054C22×D11—22no—
1055C22×D11—22no—
1056C22×D11—28no—
1057C22×D11—41no—
1058C22×D11—44no—
1059C22×D11—44no—
1060C22×D11—44no—
1061C22×D11—44no—
1062C22×D11—44no—
1063C22×D11C2514yes—
1064C22×D11C2512yes—
1065C22×D11C2511yescharacteristic
1066C22×D11C2511yescharacteristic
1067Q8×C11—24no—
1068Q8×C11—42no—
1069Q8×C11—41no—
1070Q8×C11—42no—
1071D4×C11—28no—
1072D4×C11—24no—
1073D4×C11—24no—
1074D4×C11—24no—
1075D4×C11—42no—
1076D4×C11—42no—
1077D4×C11—44no—
1078D4×C11—44no—
1079D4×C11—44no—
1080D4×C11—41no—
1081D4×C11—44no—
1082D4×C11—42no—
1083D4×C11—44no—
1084C2×C4×C11—22no—
1085C2×C4×C11—22no—
1086C2×C4×C11—24no—
1087C2×C4×C11—44no—
1088C2×C4×C11—44no—
1089C2×C4×C11—41no—
1090C2×C4×C11—42no—
1091C2×C4×C11—44no—
1092C2×C4×C11C2512yes—
1093C2×C4×C11C2514yes—
1094C2×C4×C11C2511yescharacteristic
1095C2×C4×C11C2511yescharacteristic
1096C2×C4×C11C2511yescharacteristic
1097C2×C4×C11C2511yescharacteristic
1098C2×C4×C11C2511yescharacteristic
1099C2×C4×C11C2512yes—
1100C2×C4×C11C2514yes—
1101C2×C4×C11C2512yes—
1102C2×C4×C11C2511yescharacteristic
1103C22⋊D11—28no—
1104C22⋊D11—24no—
1105C22⋊D11—28no—
1106C22⋊D11—24no—
1107C22⋊D11—28no—
1108C22⋊D11—24no—
1109C22⋊D11—44no—
1110C22⋊D11—42no—
1111C22⋊D11—42no—
1112C22⋊D11—44no—
1113C22⋊D11—44no—
1114C22⋊D11—44no—
1115C22⋊D11—44no—
1116C22⋊D11—44no—
1117C22⋊D11—44no—
1118C22⋊D11—44no—
1119C22⋊D11—44no—
1120C22⋊D11—44no—
1121C22⋊D11—44no—
1122C22⋊D11—44no—
1123C2×Dic11—24no—
1124C2×Dic11—28no—
1125C2×Dic11—28no—
1126C2×Dic11—28no—
1127C2×Dic11—24no—
1128C2×Dic11—44no—
1129C2×Dic11—41no—
1130C2×Dic11—41no—
1131C2×Dic11—44no—
1132C2×Dic11—44no—
1133C2×Dic11—42no—
1134C2×Dic11—44no—
1135C2×Dic11—42no—
1136C2×Dic11H(5,𝔽2)14yes—
1137C2×Dic11C2511yescharacteristic
1138C2×Dic11C2511yescharacteristic
1139C2×Dic11C2512yes—
1140C2×Dic11C2511yescharacteristic
1141C2×Dic11C2514yes—
1142C2×Dic11C2512yes—
1143C2×Dic11C2511yescharacteristic
1144C2×Dic11C2512yes—
1145C2×Dic11C2514yes—
1146C2×Dic11C2514yes—
1147C2×Dic11C2511yescharacteristic
1148C2×Dic11C2511yescharacteristic
1149D44—24no—
1150D44—24no—
1151D44—42no—
1152D44—42no—
1153D44—44no—
1154D44—42no—
1155D44—44no—
1156D44—41no—
1157C4×D11—22no—
1158C4×D11—22no—
1159C4×D11—22no—
1160C4×D11—22no—
1161C4×D11—24no—
1162C4×D11—22no—
1163C4×D11—22no—
1164C4×D11—22no—
1165C4×D11—22no—
1166C4×D11—24no—
1167C4×D11—28no—
1168C4×D11—41no—
1169C4×D11—41no—
1170C4×D11—41no—
1171C4×D11—41no—
1172C4×D11—44no—
1173C4×D11—44no—
1174C4×D11—44no—
1175C4×D11—44no—
1176C4×D11—44no—
1177C4×D11—44no—
1178C4×D11—42no—
1179Dic22—24no—
1180Dic22—28no—
1181Dic22—44no—
1182Dic22—44no—
1183Dic22—42no—
1184Dic22—42no—
1185Dic22—41no—
1186C22×#41—112no—
1187C22×#41—114no—
1188#563—112no—
1189#563—114no—
1190#563—112no—
1191#563—114no—
1192#562—114no—
1193#562—114no—
1194#562—112no—
1195#562—112no—
1196#562—112no—
1197#562—114no—
1198#562—114no—
1199#562C2×D1112yescomplemented
1200H(3,𝔽4)—112no—
1201H(3,𝔽4)C2×D1112yescomplemented
1202#560—114no—
1203#560—114no—
1204#560—114no—
1205#560—114no—
1206#560—114no—
1207#560—114no—
1208#559—112no—
1209#559—114no—
1210#559—112no—
1211#559C2×D1112yescomplemented
1212#557—112no—
1213#556—112no—
1214#556—114no—
1215#554—112no—
1216#554—112no—
1217#554—112no—
1218#554—112no—
1219#553—114no—
1220#553—112no—
1221#553—114no—
1222#553—112no—
1223#553—112no—
1224#553—112no—
1225#553—114no—
1226#553—114no—
1227#553—112no—
1228#553—112no—
1229#551—114no—
1230#551—114no—
1231#551—114no—
1232#551—114no—
1233#550—112no—
1234#550—112no—
1235#550—114no—
1236D4×Q8—114no—
1237D4×Q8—112no—
1238#548—112no—
1239#548—114no—
1240#548—114no—
1241#548—114no—
1242#548C2×D1112yescomplemented
1243#547—114no—
1244#547—114no—
1245#547—114no—
1246#547—112no—
1247#547—112no—
1248#547—112no—
1249#546—112no—
1250#546—114no—
1251#546—114no—
1252#546—112no—
1253#546—112no—
1254#546—114no—
1255#546—114no—
1256#546—114no—
1257#546—114no—
1258#546—114no—
1259#546—114no—
1260#546—114no—
1261#546—114no—
1262#546C2×D1114yescomplemented
1263#546C2×D1112yescomplemented
1264D42—114no—
1265D42—112no—
1266D42—112no—
1267D42—112no—
1268D42—112no—
1269D42—114no—
1270D42—114no—
1271D42C2×D1112yescomplemented
1272#544—112no—
1273#544—112no—
1274#543—114no—
1275#542—114no—
1276#542—112no—
1277#542—112no—
1278#542—114no—
1279#542—114no—
1280#542—114no—
1281#542—112no—
1282#542C2×D1112yescomplemented
1283#541—114no—
1284#540—112no—
1285#540—112no—
1286#540—114no—
1287#540—114no—
1288#540—114no—
1289#540—112no—
1290#540—112no—
1291#539—114no—
1292#539—114no—
1293#539—114no—
1294#539—114no—
1295#539—112no—
1296#539—112no—
1297#539—114no—
1298#539—114no—
1299#539—114no—
1300#538—114no—
1301#538—114no—
1302#538—114no—
1303#538—114no—
1304#538—114no—
1305#538—114no—
1306#538—114no—
1307#538—114no—
1308#538—114no—
1309#538—112no—
1310#538—114no—
1311#538C2×D1112yescomplemented
1312#538C2×D1114yescomplemented
1313#537—112no—
1314#537—112no—
1315#537—112no—
1316#537—112no—
1317#537—114no—
1318#536—114no—
1319#536—114no—
1320#535—112no—
1321#535—112no—
1322#535—112no—
1323#535—114no—
1324#535—114no—
1325#535C2×D1112yescomplemented
1326#534—114no—
1327#534—114no—
1328#534—114no—
1329#534—114no—
1330#534—112no—
1331#534C2×D1112yescomplemented
1332#533—111no—
1333#533—111no—
1334#533—111no—
1335#532—112no—
1336#532—111no—
1337#532—111no—
1338#532—112no—
1339#532—112no—
1340#532—111no—
1341#532—114no—
1342#532—112no—
1343#532—112no—
1344#532—111no—
1345#532—114no—
1346#532—112no—
1347#532—114no—
1348#532—112no—
1349#532—112no—
1350#532—111no—
1351#532—111no—
1352#532C2×D1111yescharacteristic, complemented
1353C2×C4⋊Q8—111no—
1354C2×#127—111no—
1355#529—112no—
1356#529—112no—
1357#529—114no—
1358#529—111no—
1359#529—112no—
1360#529—112no—
1361#529—112no—
1362#529—112no—
1363#529—112no—
1364#529—112no—
1365#529—112no—
1366#529—112no—
1367#529—111no—
1368#529—114no—
1369#529—114no—
1370#529—112no—
1371#529—112no—
1372#529—114no—
1373#529—114no—
1374#529—112no—
1375#529—114no—
1376#529—112no—
1377#529—111no—
1378#529C2×D1111yescharacteristic, complemented
1379C2×#126—112no—
1380C2×#125—111no—
1381C2×#124—112no—
1382C2×#124C2×D1111yescharacteristic, complemented
1383#525—112no—
1384#525—114no—
1385#525—114no—
1386#525—114no—
1387#525—111no—
1388#525—114no—
1389#525—111no—
1390#525—114no—
1391#525—114no—
1392#525—114no—
1393#525—114no—
1394#525—114no—
1395#525—114no—
1396#525—114no—
1397#525—112no—
1398C2×#123—112no—
1399C2×C22⋊Q8—111no—
1400C2×#121—111no—
1401C2×#121—112no—
1402C2×#121—112no—
1403C4×#41—112no—
1404C4×#41—111no—
1405C4×#41—112no—
1406C4×#41—112no—
1407C4×#41—111no—
1408C4×#41—114no—
1409C4×#41—112no—
1410C2×C4×Q8—111no—
1411C2×C4×D4—111no—
1412C2×C4×D4—112no—
1413C2×C4×D4—112no—
1414C2×C4×D4—112no—
1415C2×C4×D4—114no—
1416C2×C4×D4—112no—
1417C2×C4×D4—112no—
1418C2×C4×D4—114no—
1419C2×#117—112no—
1420C22×C42—111no—
1421C22×C11—21no—
1422C22×C11—21no—
1423C22×C11—24no—
1424C22×C11—24no—
1425C22×C11—22no—
1426C22×C11—22no—
1427C22×C11—24no—
1428C22×C11—24no—
1429C22×C11—24no—
1430C22×C11—24no—
1431C22×C11—22no—
1432C22×C11—84no—
1433C22×C11—88no—
1434C22×C11C2×H(5,𝔽2)12yes—
1435C22×C11C2611yescharacteristic
1436C2×D11—21no—
1437C2×D11—21no—
1438C2×D11—21no—
1439C2×D11—24no—
1440C2×D11—22no—
1441C2×D11—24no—
1442C2×D11—21no—
1443C2×D11—22no—
1444C2×D11—22no—
1445C2×D11—24no—
1446C2×D11—21no—
1447C2×D11—44no—
1448C2×D11—88no—
1449C2×D11—88no—
1450C2×D11#58512yes—
1451C4×C11—21no—
1452C4×C11—21no—
1453C4×C11—22no—
1454C4×C11—24no—
1455C4×C11—22no—
1456C4×C11—21no—
1457C4×C11—24no—
1458C4×C11—21no—
1459C4×C11—21no—
1460C4×C11—22no—
1461C4×C11#58512yes—
1462Dic11—24no—
1463Dic11—22no—
1464Dic11—24no—
1465Dic11—21no—
1466Dic11—22no—
1467Dic11—22no—
1468Dic11—21no—
1469Dic11—21no—
1470Dic11—21no—
1471Dic11—24no—
1472Dic11C2×H(5,𝔽2)12yes—
1473Dic11C2×H(5,𝔽2)12yes—
1474C2×#41—111no—
1475C2×#41—112no—
1476C2×#41—112no—
1477C2×#41—112no—
1478C2×#41—114no—
1479C2×#41—111no—
1480C2×#41—114no—
1481C2×#41—114no—
1482C2×#41—112no—
1483C2×#41—114no—
1484C2×#41—114no—
1485C2×#41—114no—
1486C2×#41—114no—
1487C2×#41—112no—
1488C2×#41—112no—
1489C2×#41—114no—
1490C2×#41—4416no—
1491C2×#41—448no—
1492C2×#41C22×D1112yes—
1493C2×#41C22×D1112yes—
1494C22×Q8—112no—
1495C22×Q8—114no—
1496C22×Q8C22×D1111yescharacteristic
1497C22×D4—112no—
1498C22×D4—114no—
1499C22×D4—114no—
1500C22×D4—114no—
1501C22×D4—112no—
1502C22×D4—112no—
1503C22×D4—114no—
1504C22×D4—112no—
1505C22×D4—114no—
1506C22×D4—112no—
1507C22×D4C22×D1111yescharacteristic
1508C22×D4C22×D1112yes—
1509C22×D4C22×D1114yes—
1510C23×C4—112no—
1511C23×C4—114no—
1512C23×C4—111no—
1513C23×C4—114no—
1514C23×C4—114no—
1515C23×C4—111no—
1516C23×C4—111no—
1517C4⋊Q8—112no—
1518C4⋊Q8—111no—
1519C4⋊Q8—114no—
1520C4⋊Q8—112no—
1521C4⋊Q8—112no—
1522C4⋊Q8—111no—
1523C4⋊Q8—111no—
1524C4⋊Q8—114no—
1525C4⋊Q8—112no—
1526C4⋊Q8—114no—
1527C4⋊Q8—111no—
1528C4⋊Q8—112no—
1529C4⋊Q8C22×D1111yescharacteristic
1530#127—112no—
1531#127—112no—
1532#127—112no—
1533#127—111no—
1534#127—114no—
1535#127—112no—
1536#127—114no—
1537#127—114no—
1538#127—111no—
1539#127C22×D1111yescharacteristic
1540#127C22×D1112yes—
1541#126—112no—
1542#126—114no—
1543#126—114no—
1544#126—114no—
1545#126—114no—
1546#126—114no—
1547#126—114no—
1548#126—114no—
1549#126—114no—
1550#126—112no—
1551#126—114no—
1552#126—114no—
1553#126—114no—
1554#126—114no—
1555#126—114no—
1556#126—114no—
1557#126—114no—
1558#126—114no—
1559#126—112no—
1560#126—114no—
1561#126C22×D1112yes—
1562#126C22×D1114yes—
1563#125—112no—
1564#125—112no—
1565#125—114no—
1566#125—114no—
1567#125—114no—
1568#125—114no—
1569#125—112no—
1570#125—112no—
1571#125—112no—
1572#125—112no—
1573#125—112no—
1574#125—111no—
1575#125—114no—
1576#125—114no—
1577#125—112no—
1578#125C22×D1111yescharacteristic
1579#124—112no—
1580#124—112no—
1581#124—114no—
1582#124—112no—
1583#124—114no—
1584#124—114no—
1585#124—114no—
1586#124—114no—
1587#124—112no—
1588#124—112no—
1589#124—114no—
1590#124—114no—
1591#124—114no—
1592#124—114no—
1593#124—114no—
1594#124—114no—
1595#124—114no—
1596#124—112no—
1597#124—111no—
1598#124—114no—
1599#124C22×D1112yes—
1600#124C22×D1112yes—
1601#124C22×D1112yes—
1602#124C22×D1112yes—
1603#124C22×D1112yes—
1604#124C22×D1111yescharacteristic
1605#124C22×D1112yes—
1606#124C22×D1114yes—
1607#124C22×D1114yes—
1608#124C22×D1114yes—
1609#123—114no—
1610#123—114no—
1611#123—114no—
1612#123—114no—
1613#123—114no—
1614#123—114no—
1615#123—114no—
1616#123—112no—
1617#123—114no—
1618#123—114no—
1619#123—114no—
1620#123—114no—
1621#123—112no—
1622#123—112no—
1623#123—114no—
1624#123—114no—
1625#123—114no—
1626#123—114no—
1627#123—114no—
1628#123—114no—
1629#123—114no—
1630#123—112no—
1631#123—112no—
1632#123—114no—
1633#123—114no—
1634#123—114no—
1635#123—114no—
1636#123—114no—
1637#123—114no—
1638#123—114no—
1639#123—114no—
1640#123—114no—
1641#123—114no—
1642#123—114no—
1643#123—114no—
1644#123—114no—
1645#123—114no—
1646#123—114no—
1647#123—114no—
1648#123—114no—
1649#123—114no—
1650#123C22×D1112yes—
1651#123C22×D1114yes—
1652#123C22×D1114yes—
1653#123C22×D1114yes—
1654#123C22×D1114yes—
1655C22⋊Q8—112no—
1656C22⋊Q8—112no—
1657C22⋊Q8—112no—
1658C22⋊Q8—112no—
1659C22⋊Q8—111no—
1660C22⋊Q8—114no—
1661C22⋊Q8—112no—
1662C22⋊Q8—114no—
1663C22⋊Q8—114no—
1664C22⋊Q8—111no—
1665C22⋊Q8—114no—
1666C22⋊Q8—114no—
1667C22⋊Q8—114no—
1668C22⋊Q8—112no—
1669C22⋊Q8—112no—
1670C22⋊Q8—112no—
1671C22⋊Q8—111no—
1672C22⋊Q8—114no—
1673C22⋊Q8—114no—
1674C22⋊Q8—114no—
1675C22⋊Q8—114no—
1676C22⋊Q8—114no—
1677C22⋊Q8—114no—
1678C22⋊Q8—114no—
1679C22⋊Q8—114no—
1680C22⋊Q8—114no—
1681C22⋊Q8—112no—
1682C22⋊Q8—114no—
1683C22⋊Q8—114no—
1684C22⋊Q8—114no—
1685C22⋊Q8—114no—
1686C22⋊Q8—114no—
1687C22⋊Q8—114no—
1688C22⋊Q8—114no—
1689C22⋊Q8—114no—
1690C22⋊Q8—114no—
1691C22⋊Q8—114no—
1692C22⋊Q8—114no—
1693C22⋊Q8C22×D1111yescharacteristic
1694C22⋊Q8C22×D1114yes—
1695C22⋊Q8C22×D1112yes—
1696C22⋊Q8C22×D1114yes—
1697#121—112no—
1698#121—112no—
1699#121—112no—
1700#121—112no—
1701#121—114no—
1702#121—112no—
1703#121—112no—
1704#121—114no—
1705#121—112no—
1706#121—111no—
1707#121—114no—
1708#121—114no—
1709#121—114no—
1710#121—114no—
1711#121—114no—
1712#121—114no—
1713#121—114no—
1714#121—114no—
1715#121—114no—
1716#121—114no—
1717#121—114no—
1718#121—114no—
1719#121—114no—
1720#121—112no—
1721#121—114no—
1722#121—114no—
1723#121—114no—
1724#121—114no—
1725#121—112no—
1726#121—112no—
1727#121—114no—
1728#121—114no—
1729#121—114no—
1730#121—114no—
1731#121—112no—
1732#121—112no—
1733#121—111no—
1734#121—114no—
1735#121—114no—
1736#121—112no—
1737#121—114no—
1738#121—112no—
1739#121—114no—
1740#121—112no—
1741#121—112no—
1742#121—111no—
1743#121—114no—
1744#121—114no—
1745#121—114no—
1746#121—112no—
1747#121—112no—
1748#121—112no—
1749#121—114no—
1750#121—114no—
1751#121—114no—
1752#121—114no—
1753#121—114no—
1754#121—114no—
1755#121—114no—
1756#121—114no—
1757#121—114no—
1758#121—114no—
1759#121—114no—
1760#121C22×D1112yes—
1761#121C22×D1112yes—
1762#121C22×D1111yescharacteristic
1763#121C22×D1114yes—
1764#121C22×D1114yes—
1765#121C22×D1114yes—
1766#121C22×D1114yes—
1767#121C22×D1112yes—
1768#121C22×D1114yes—
1769#120—114no—
1770#120—114no—
1771#120—114no—
1772#120—114no—
1773#120—114no—
1774#120—112no—
1775#120—114no—
1776#120—114no—
1777#120—114no—
1778#120—114no—
1779#120—114no—
1780#120—114no—
1781#120—114no—
1782#120—112no—
1783#120—114no—
1784#120—114no—
1785#120—114no—
1786#120—114no—
1787#120—114no—
1788#120C22×D1114yes—
1789#120C22×D1114yes—
1790#120C22×D1114yes—
1791#120C22×D1114yes—
1792#120C22×D1114yes—
1793C4×Q8—112no—
1794C4×Q8—112no—
1795C4×Q8—112no—
1796C4×Q8—112no—
1797C4×Q8—111no—
1798C4×Q8—112no—
1799C4×Q8—111no—
1800C4×Q8—112no—
1801C4×Q8—112no—
1802C4×Q8—112no—
1803C4×Q8—114no—
1804C4×Q8—112no—
1805C4×Q8—111no—
1806C4×Q8—114no—
1807C4×Q8C22×D1111yescharacteristic
1808C4×Q8C22×D1112yes—
1809C4×D4—112no—
1810C4×D4—112no—
1811C4×D4—112no—
1812C4×D4—114no—
1813C4×D4—114no—
1814C4×D4—112no—
1815C4×D4—112no—
1816C4×D4—112no—
1817C4×D4—112no—
1818C4×D4—112no—
1819C4×D4—114no—
1820C4×D4—114no—
1821C4×D4—111no—
1822C4×D4—112no—
1823C4×D4—114no—
1824C4×D4—114no—
1825C4×D4—112no—
1826C4×D4—114no—
1827C4×D4—114no—
1828C4×D4—114no—
1829C4×D4—114no—
1830C4×D4—114no—
1831C4×D4—112no—
1832C4×D4—112no—
1833C4×D4—112no—
1834C4×D4—114no—
1835C4×D4—114no—
1836C4×D4—112no—
1837C4×D4—112no—
1838C4×D4—112no—
1839C4×D4—111no—
1840C4×D4—114no—
1841C4×D4—112no—
1842C4×D4—112no—
1843C4×D4—114no—
1844C4×D4—112no—
1845C4×D4—114no—
1846C4×D4—114no—
1847C4×D4—114no—
1848C4×D4—114no—
1849C4×D4—114no—
1850C4×D4—114no—
1851C4×D4—114no—
1852C4×D4—114no—
1853C4×D4—114no—
1854C4×D4—114no—
1855C4×D4—114no—
1856C4×D4—114no—
1857C4×D4—114no—
1858C4×D4—112no—
1859C4×D4—112no—
1860C4×D4—112no—
1861C4×D4—112no—
1862C4×D4—112no—
1863C4×D4—112no—
1864C4×D4—114no—
1865C4×D4—114no—
1866C4×D4—112no—
1867C4×D4—112no—
1868C4×D4—114no—
1869C4×D4—112no—
1870C4×D4—112no—
1871C4×D4—111no—
1872C4×D4—114no—
1873C4×D4—112no—
1874C4×D4C22×D1112yes—
1875C4×D4C22×D1112yes—
1876C4×D4C22×D1114yes—
1877C4×D4C22×D1112yes—
1878C4×D4C22×D1112yes—
1879C4×D4C22×D1111yescharacteristic
1880C4×D4C22×D1114yes—
1881#117—112no—
1882#117—114no—
1883#117—114no—
1884#117—112no—
1885#117—111no—
1886#117—111no—
1887#117—112no—
1888#117—112no—
1889#117—114no—
1890#117—114no—
1891#117—114no—
1892#117—114no—
1893#117—114no—
1894#117—112no—
1895#117—114no—
1896#117—112no—
1897#117—112no—
1898#117—112no—
1899#117—112no—
1900#117C22×D1112yes—
1901C2×C4⋊C4—112no—
1902C2×C4⋊C4—112no—
1903C2×C4⋊C4—111no—
1904C2×C4⋊C4—112no—
1905C2×C4⋊C4—112no—
1906C2×C4⋊C4—114no—
1907C2×C4⋊C4—111no—
1908C2×C4⋊C4—112no—
1909C2×C4⋊C4—112no—
1910C2×C4⋊C4—112no—
1911C2×C4⋊C4—112no—
1912C2×C4⋊C4—114no—
1913C2×C22⋊C4—112no—
1914C2×C22⋊C4—112no—
1915C2×C22⋊C4—114no—
1916C2×C22⋊C4—112no—
1917C2×C22⋊C4—114no—
1918C2×C22⋊C4—114no—
1919C2×C22⋊C4—114no—
1920C2×C22⋊C4—114no—
1921C2×C22⋊C4—114no—
1922C2×C22⋊C4—114no—
1923C2×C22⋊C4C22×D1112yes—
1924C2×C22⋊C4C22×D1112yes—
1925C2×C22⋊C4C22×D1114yes—
1926C2×C42—111no—
1927C2×C42—112no—
1928C2×C42—111no—
1929C2×C42—112no—
1930C2×C42—114no—
1931C2×C42—111no—
1932C2×C42—111no—
1933C2×C42—111no—
1934C2×C42—112no—
1935C2×C42—114no—
1936C2×C42—111no—
1937C2×C42—111no—
1938C2×C42—111no—
1939C2×C42—111no—
1940C2×C42—111no—
1941C2×C42—111no—
1942C2×C42C22×D1111yescharacteristic
1943C2×C11—22no—
1944C2×C11—44no—
1945C2×C11—44no—
1946C2×C11—42no—
1947C2×C11C22×H(5,𝔽2)11yescharacteristic
1948C2×C11C2×#58511yescharacteristic
1949C2×C11C2×#58511yescharacteristic
1950D11—22no—
1951D11—41no—
1952D11—44no—
1953D11—42no—
1954C24—111no—
1955C24—114no—
1956C24—114no—
1957C24C23×D1112yes—
1958C24C23×D1114yes—
1959#41—44no—
1960#41—44no—
1961#41—228no—
1962#41—2216no—
1963#41—444no—
1964#41—444no—
1965#41—448no—
1966#41—444no—
1967#41—448no—
1968#41—448no—
1969#41—444no—
1970#41—448no—
1971#41—448no—
1972#41—442no—
1973#41—448no—
1974#41—448no—
1975#41—442no—
1976#41—444no—
1977C2×Q8—42no—
1978C2×Q8—112no—
1979C2×Q8—114no—
1980C2×Q8—112no—
1981C2×Q8—111no—
1982C2×Q8—114no—
1983C2×Q8—114no—
1984C2×Q8—112no—
1985C2×Q8—448no—
1986C2×Q8—444no—
1987C2×Q8C23×D1112yes—
1988C2×Q8C23×D1112yes—
1989C2×Q8C23×D1111yescharacteristic
1990C2×Q8C23×D1112yes—
1991C2×D4—42no—
1992C2×D4—44no—
1993C2×D4—48no—
1994C2×D4—112no—
1995C2×D4—114no—
1996C2×D4—112no—
1997C2×D4—114no—
1998C2×D4—114no—
1999C2×D4—112no—
2000C2×D4—112no—
2001C2×D4—114no—
2002C2×D4—114no—
2003C2×D4—112no—
2004C2×D4—114no—
2005C2×D4—114no—
2006C2×D4—114no—
2007C2×D4—114no—
2008C2×D4—114no—
2009C2×D4—114no—
2010C2×D4—114no—
2011C2×D4—114no—
2012C2×D4—114no—
2013C2×D4—114no—
2014C2×D4—112no—
2015C2×D4—112no—
2016C2×D4—114no—
2017C2×D4—111no—
2018C2×D4—112no—
2019C2×D4—112no—
2020C2×D4—112no—
2021C2×D4—114no—
2022C2×D4—444no—
2023C2×D4—444no—
2024C2×D4—444no—
2025C2×D4—444no—
2026C2×D4—448no—
2027C2×D4—448no—
2028C2×D4—448no—
2029C2×D4—448no—
2030C2×D4—444no—
2031C2×D4—448no—
2032C2×D4C23×D1112yes—
2033C2×D4C23×D1112yes—
2034C2×D4C23×D1112yes—
2035C2×D4C23×D1114yes—
2036C2×D4C23×D1112yes—
2037C2×D4C23×D1114yes—
2038C2×D4C23×D1114yes—
2039C2×D4C23×D1111yescharacteristic
2040C2×D4C23×D1114yes—
2041C2×D4C23×D1112yes—
2042C2×D4C23×D1114yes—
2043C2×D4C23×D1114yes—
2044C2×D4C23×D1112yes—
2045C22×C4—111no—
2046C22×C4—114no—
2047C22×C4—112no—
2048C22×C4—112no—
2049C22×C4—114no—
2050C22×C4—114no—
2051C22×C4—111no—
2052C22×C4—111no—
2053C22×C4—112no—
2054C22×C4—112no—
2055C22×C4—114no—
2056C22×C4—114no—
2057C22×C4—114no—
2058C22×C4—114no—
2059C22×C4—111no—
2060C22×C4—111no—
2061C22×C4—111no—
2062C22×C4—111no—
2063C22×C4—111no—
2064C22×C4—111no—
2065C22×C4—111no—
2066C22×C4—111no—
2067C22×C4—112no—
2068C22×C4—112no—
2069C22×C4—114no—
2070C22×C4—111no—
2071C22×C4—111no—
2072C22×C4—111no—
2073C22×C4—111no—
2074C22×C4—112no—
2075C22×C4—114no—
2076C22×C4—114no—
2077C22×C4—114no—
2078C22×C4—114no—
2079C22×C4—114no—
2080C22×C4—114no—
2081C22×C4—224no—
2082C22×C4—228no—
2083C22×C4—442no—
2084C22×C4—448no—
2085C22×C4—448no—
2086C22×C4—442no—
2087C22×C4—448no—
2088C22×C4C23×D1111yescharacteristic
2089C22×C4C23×D1111yescharacteristic
2090C22×C4C23×D1112yes—
2091C22×C4C23×D1111yescharacteristic
2092C22×C4C23×D1112yes—
2093C22×C4C23×D1114yes—
2094C22×C4C23×D1114yes—
2095C22×C4C23×D1114yes—
2096C4⋊C4—112no—
2097C4⋊C4—114no—
2098C4⋊C4—112no—
2099C4⋊C4—112no—
2100C4⋊C4—112no—
2101C4⋊C4—114no—
2102C4⋊C4—114no—
2103C4⋊C4—114no—
2104C4⋊C4—114no—
2105C4⋊C4—114no—
2106C4⋊C4—114no—
2107C4⋊C4—114no—
2108C4⋊C4—114no—
2109C4⋊C4—114no—
2110C4⋊C4—114no—
2111C4⋊C4—112no—
2112C4⋊C4—114no—
2113C4⋊C4—114no—
2114C4⋊C4—114no—
2115C4⋊C4—114no—
2116C4⋊C4—112no—
2117C4⋊C4—114no—
2118C4⋊C4—112no—
2119C4⋊C4—112no—
2120C4⋊C4—112no—
2121C4⋊C4—114no—
2122C4⋊C4—112no—
2123C4⋊C4—112no—
2124C4⋊C4—114no—
2125C4⋊C4—112no—
2126C4⋊C4—114no—
2127C4⋊C4—112no—
2128C4⋊C4—112no—
2129C4⋊C4—112no—
2130C4⋊C4—112no—
2131C4⋊C4—112no—
2132C4⋊C4—114no—
2133C4⋊C4—111no—
2134C4⋊C4—112no—
2135C4⋊C4—111no—
2136C4⋊C4C23×D1112yes—
2137C4⋊C4C23×D1112yes—
2138C4⋊C4C23×D1112yes—
2139C4⋊C4C23×D1111yescharacteristic
2140C4⋊C4C23×D1114yes—
2141C4⋊C4C23×D1114yes—
2142C4⋊C4C23×D1111yescharacteristic
2143C4⋊C4C23×D1112yes—
2144C4⋊C4C23×D1112yes—
2145C4⋊C4C23×D1112yes—
2146C22⋊C4—114no—
2147C22⋊C4—114no—
2148C22⋊C4—114no—
2149C22⋊C4—114no—
2150C22⋊C4—114no—
2151C22⋊C4—114no—
2152C22⋊C4—114no—
2153C22⋊C4—114no—
2154C22⋊C4—114no—
2155C22⋊C4—114no—
2156C22⋊C4—112no—
2157C22⋊C4—114no—
2158C22⋊C4—114no—
2159C22⋊C4—112no—
2160C22⋊C4—114no—
2161C22⋊C4—112no—
2162C22⋊C4—114no—
2163C22⋊C4—112no—
2164C22⋊C4—112no—
2165C22⋊C4—112no—
2166C22⋊C4—114no—
2167C22⋊C4—114no—
2168C22⋊C4—114no—
2169C22⋊C4—114no—
2170C22⋊C4—114no—
2171C22⋊C4—114no—
2172C22⋊C4—114no—
2173C22⋊C4—114no—
2174C22⋊C4—114no—
2175C22⋊C4—112no—
2176C22⋊C4—114no—
2177C22⋊C4—114no—
2178C22⋊C4—112no—
2179C22⋊C4—112no—
2180C22⋊C4—112no—
2181C22⋊C4—114no—
2182C22⋊C4—114no—
2183C22⋊C4—112no—
2184C22⋊C4—112no—
2185C22⋊C4—112no—
2186C22⋊C4C23×D1114yes—
2187C22⋊C4C23×D1114yes—
2188C22⋊C4C23×D1114yes—
2189C22⋊C4C23×D1114yes—
2190C22⋊C4C23×D1114yes—
2191C22⋊C4C23×D1112yes—
2192C22⋊C4C23×D1114yes—
2193C22⋊C4C23×D1114yes—
2194C22⋊C4C23×D1114yes—
2195C22⋊C4C23×D1114yes—
2196C22⋊C4C23×D1114yes—
2197C22⋊C4C23×D1112yes—
2198C22⋊C4C23×D1114yes—
2199C22⋊C4C23×D1112yes—
2200C22⋊C4C23×D1112yes—
2201C22⋊C4C23×D1112yes—
2202C42—111no—
2203C42—111no—
2204C42—112no—
2205C42—112no—
2206C42—114no—
2207C42—111no—
2208C42—111no—
2209C42—111no—
2210C42—111no—
2211C42—111no—
2212C42—111no—
2213C42—111no—
2214C42—111no—
2215C42—111no—
2216C42—111no—
2217C42—112no—
2218C42—112no—
2219C42—112no—
2220C42—114no—
2221C42—114no—
2222C42—114no—
2223C42—114no—
2224C42C23×D1111yescharacteristic
2225C42C23×D1111yescharacteristic
2226C42C23×D1111yescharacteristic
2227C42C23×D1111yescharacteristic
2228C42C23×D1112yes—
2229C42C23×D1114yes—
2230C11#6274811yescharacteristic, complemented, Sylow
2231C23—24no—
2232C23—44no—
2233C23—42no—
2234C23—44no—
2235C23—42no—
2236C23—44no—
2237C23—111no—
2238C23—112no—
2239C23—114no—
2240C23—111no—
2241C23—222no—
2242C23—228no—
2243C23—222no—
2244C23—441no—
2245C23—444no—
2246C23—444no—
2247C23—444no—
2248C23—444no—
2249C23—444no—
2250C23C24×D1114yes—
2251C23C24×D1114yes—
2252C23C24×D1112yes—
2253C23C24×D1111yescharacteristic
2254Q8—24no—
2255Q8—42no—
2256Q8—42no—
2257Q8—41no—
2258Q8—224no—
2259Q8—228no—
2260Q8—442no—
2261Q8—444no—
2262Q8—444no—
2263Q8—441no—
2264Q8—442no—
2265D4—24no—
2266D4—28no—
2267D4—24no—
2268D4—24no—
2269D4—44no—
2270D4—42no—
2271D4—44no—
2272D4—44no—
2273D4—42no—
2274D4—44no—
2275D4—42no—
2276D4—44no—
2277D4—41no—
2278D4—224no—
2279D4—228no—
2280D4—224no—
2281D4—228no—
2282D4—224no—
2283D4—228no—
2284D4—224no—
2285D4—224no—
2286D4—442no—
2287D4—444no—
2288D4—442no—
2289D4—441no—
2290D4—442no—
2291D4—444no—
2292D4—444no—
2293D4—444no—
2294D4—444no—
2295D4—444no—
2296D4—444no—
2297D4—444no—
2298D4—444no—
2299D4—444no—
2300D4—444no—
2301D4—444no—
2302D4—444no—
2303D4—444no—
2304D4—442no—
2305D4—442no—
2306C2×C4—22no—
2307C2×C4—22no—
2308C2×C4—24no—
2309C2×C4—41no—
2310C2×C4—44no—
2311C2×C4—44no—
2312C2×C4—42no—
2313C2×C4—44no—
2314C2×C4—114no—
2315C2×C4—111no—
2316C2×C4—111no—
2317C2×C4—111no—
2318C2×C4—111no—
2319C2×C4—112no—
2320C2×C4—112no—
2321C2×C4—111no—
2322C2×C4—114no—
2323C2×C4—111no—
2324C2×C4—112no—
2325C2×C4—114no—
2326C2×C4—114no—
2327C2×C4—222no—
2328C2×C4—222no—
2329C2×C4—222no—
2330C2×C4—222no—
2331C2×C4—224no—
2332C2×C4—228no—
2333C2×C4—222no—
2334C2×C4—222no—
2335C2×C4—228no—
2336C2×C4—228no—
2337C2×C4—228no—
2338C2×C4—224no—
2339C2×C4—224no—
2340C2×C4—222no—
2341C2×C4—222no—
2342C2×C4—224no—
2343C2×C4—444no—
2344C2×C4—444no—
2345C2×C4—444no—
2346C2×C4—444no—
2347C2×C4—441no—
2348C2×C4—441no—
2349C2×C4—441no—
2350C2×C4—441no—
2351C2×C4—444no—
2352C2×C4—442no—
2353C2×C4—444no—
2354C2×C4—444no—
2355C2×C4—444no—
2356C2×C4—444no—
2357C2×C4—441no—
2358C2×C4—441no—
2359C2×C4—442no—
2360C2×C4—444no—
2361C2×C4—442no—
2362C2×C4C24×D1112yes—
2363C2×C4C24×D1114yes—
2364C2×C4C24×D1111yescharacteristic
2365C2×C4C24×D1111yescharacteristic
2366C2×C4C24×D1111yescharacteristic
2367C2×C4C24×D1111yescharacteristic
2368C2×C4C24×D1111yescharacteristic
2369C2×C4C24×D1112yes—
2370C2×C4C24×D1112yes—
2371C2×C4C24×D1114yes—
2372C2×C4C24×D1111yescharacteristic
2373C22—21no—
2374C22—21no—
2375C22—24no—
2376C22—24no—
2377C22—22no—
2378C22—24no—
2379C22—22no—
2380C22—24no—
2381C22—22no—
2382C22—24no—
2383C22—24no—
2384C22—84no—
2385C22—88no—
2386C22—112no—
2387C22—221no—
2388C22—221no—
2389C22—221no—
2390C22—224no—
2391C22—222no—
2392C22—221no—
2393C22—222no—
2394C22—224no—
2395C22—221no—
2396C22—222no—
2397C22—224no—
2398C22—444no—
2399C22—888no—
2400C22—888no—
2401C22D11×H(5,𝔽2)12yes—
2402C22C25×D1111yescharacteristic
2403C4—21no—
2404C4—21no—
2405C4—22no—
2406C4—24no—
2407C4—21no—
2408C4—21no—
2409C4—22no—
2410C4—22no—
2411C4—21no—
2412C4—24no—
2413C4—112no—
2414C4—112no—
2415C4—224no—
2416C4—224no—
2417C4—222no—
2418C4—221no—
2419C4—221no—
2420C4—224no—
2421C4—222no—
2422C4—221no—
2423C4—222no—
2424C4—221no—
2425C4#1062345512yes—
2426C2—22no—
2427C2—44no—
2428C2—42no—
2429C2—44no—
2430C2—222no—
2431C2—441no—
2432C2—442no—
2433C2—444no—
2434C2C2×D11×H(5,𝔽2)11yescharacteristic
2435C2D11×#58511yescharacteristic
2436C2C2×#1062345511yescharacteristic
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3558C2
hypercenter#3558D11
hypocenterC11#62748
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3558

Complements

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

NH ≅ G/Ntype
1. #13083191C2semidirect
2. #13083178C2semidirect
3. #13083156C2semidirect
4. #13083154C2semidirect
5. #13083147C2semidirect
6. #13083135C2semidirect
7. #13083129C2semidirect
8. #13083086C2semidirect
9. #13083052C2semidirect
10. #13082980C2semidirect
11. #13082942C2semidirect
12. #13082847C2semidirect
13. #13082832C2semidirect
14. #13082807C2semidirect
15. #13082803C2semidirect
16. #13082756C2semidirect
17. #13082753C2semidirect
18. #13082225C2semidirect
19. #13082221C2semidirect
20. #13082206C2semidirect
21. #13082100C2semidirect
22. D4×#4341C2semidirect
23. #13082036C2semidirect
24. #13082029C2semidirect
25. #13082027C2semidirect
26. #13081998C2semidirect
27. #13081942C2semidirect
28. #13081910C2semidirect
29. D11×#532C2semidirect
30. C2×#10623211C2semidirect
31. C11×#3558C2semidirect
32. C2×#41×D11C22semidirect
33. C22×#4341C22semidirect
34. C11×#562C22semidirect
35. C11×H(3,𝔽4)C22semidirect
36. C11×#559C22semidirect
37. C11×#548C22semidirect
38. C11×#546C22semidirect
39. C11×#546C22semidirect
40. D42×C11C22semidirect
41. C11×#542C22semidirect
42. C11×#538C22semidirect
43. C11×#538C22semidirect
44. C11×#535C22semidirect
45. C11×#534C22semidirect
46. C11×#532C22semidirect
47. C11×#529C22semidirect
48. C2×C11×#124C22semidirect
49. #10623365C22semidirect
50. #10623364C22semidirect
51. #10623363C22semidirect
52. #10623360C22semidirect
53. #41×Dic11C22semidirect
54. #10623355C22semidirect
55. #10623348C22semidirect
56. C2×#66999C22semidirect
57. C2×Q8×Dic11C22semidirect
58. #10623337C22semidirect
59. #10623336C22semidirect
60. #10623335C22semidirect
61. D4×C22⋊D11C22semidirect
62. D4×C22⋊D11C22semidirect
63. D4×C22⋊D11C22semidirect
64. D4×C22⋊D11C22semidirect
66. C2×D4×Dic11C22semidirect
67. C2×D4×Dic11C22semidirect
68. #10623260C22semidirect
69. #10623256C22semidirect
70. D11×C4⋊Q8C22semidirect
71. #10623250C22semidirect
72. #10623250C22semidirect
73. #10623249C22semidirect
74. #10623248C22semidirect
75. #10623247C22semidirect
76. #10623247C22semidirect
77. D11×#127C22semidirect
78. #10623238C22semidirect
79. #10623238C22semidirect
80. #10623237C22semidirect
81. #10623237C22semidirect
82. #10623237C22semidirect
83. #10623235C22semidirect
84. #10623232C22semidirect
85. #10623230C22semidirect
86. #10623222C22semidirect
87. #10623219C22semidirect
88. #10623215C22semidirect
89. #10623215C22semidirect
90. #10623215C22semidirect
91. #10623215C22semidirect
92. #10623215C22semidirect
93. #10623214C22semidirect
94. #10623213C22semidirect
95. #10623213C22semidirect
96. #10623212C22semidirect
97. #10623212C22semidirect
98. #10623212C22semidirect
99. #10623211C22semidirect
100. #10623211C22semidirect
101. #10623211C22semidirect
102. #10623211C22semidirect
103. #10623211C22semidirect
104. #10623211C22semidirect
105. #10623211C22semidirect
106. #10623211C22semidirect
107. #10623211C22semidirect
108. #10623211C22semidirect
109. #10623211C22semidirect
110. #10623211C22semidirect
111. #10623209C22semidirect
112. #10623209C22semidirect
113. #10623209C22semidirect
114. #10623208C22semidirect
115. #10623207C22semidirect
116. #10623207C22semidirect
117. #10623207C22semidirect
118. #10623205C22semidirect
119. D11×#124C22semidirect
120. #10623203C22semidirect
121. #10623203C22semidirect
122. #10623200C22semidirect
123. #10623199C22semidirect
124. #10623199C22semidirect
125. #10623199C22semidirect
126. #10623198C22semidirect
127. #10623197C22semidirect
128. #10623194C22semidirect
129. #10623193C22semidirect
130. #10623191C22semidirect
131. #10623191C22semidirect
132. #10623190C22semidirect
133. #10623190C22semidirect
134. #10623189C22semidirect
135. #10623187C22semidirect
136. #10623187C22semidirect
137. #10623187C22semidirect
138. #10623187C22semidirect
139. #10623186C22semidirect
140. #10623186C22semidirect
141. #10623180C22semidirect
142. #10623180C22semidirect
143. #10623179C22semidirect
144. #10623179C22semidirect
145. #10623178C22semidirect
146. #10623177C22semidirect
147. #10623176C22semidirect
148. #10623172C22semidirect
149. #10623172C22semidirect
150. #10623171C22semidirect
151. #10623166C22semidirect
152. #10623165C22semidirect
153. #10623163C22semidirect
154. #10623160C22semidirect
155. #10623158C22semidirect
156. #10623158C22semidirect
157. #10623155C22semidirect
158. #10623155C22semidirect
159. #10623153C22semidirect
160. #10623151C22semidirect
161. #10623151C22semidirect
162. #10623150C22semidirect
163. #10623149C22semidirect
164. #10623149C22semidirect
165. #10623146C22semidirect
166. #10623145C22semidirect
167. #10623144C22semidirect
168. #10623144C22semidirect
169. #10623142C22semidirect
170. #10623142C22semidirect
171. #10623141C22semidirect
172. #10623141C22semidirect
173. #10623138C22semidirect
174. #10623137C22semidirect
175. #10623137C22semidirect
176. #10623137C22semidirect
177. #10623136C22semidirect
178. D11×#121C22semidirect
179. D11×#121C22semidirect
180. #10623134C22semidirect
181. #10623133C22semidirect
182. #10623132C22semidirect
183. #10623131C22semidirect
184. #10623130C22semidirect
185. #10623129C22semidirect
186. #10623128C22semidirect
187. #10623128C22semidirect
188. #10623128C22semidirect
189. #10623127C22semidirect
190. #10623127C22semidirect
191. #10623127C22semidirect
192. #10623127C22semidirect
193. #10623127C22semidirect
194. #10623127C22semidirect
195. #10623126C22semidirect
196. #10623126C22semidirect
197. #10623126C22semidirect
198. #10623124C22semidirect
199. #10623124C22semidirect
200. #10623124C22semidirect
201. #10623123C22semidirect
202. #10623123C22semidirect
203. #10623122C22semidirect
204. #10623122C22semidirect
205. #10623122C22semidirect
206. #10623121C22semidirect
207. #10623121C22semidirect
208. #10623120C22semidirect
209. #10623120C22semidirect
210. #10623117C22semidirect
211. #10623117C22semidirect
212. #10623117C22semidirect
213. #10623117C22semidirect
214. #10623117C22semidirect
215. #10623113C22semidirect
216. #10623110C22semidirect
217. #10623110C22semidirect
218. #10623109C22semidirect
219. C4×#4343C22semidirect
220. C4×#4343C22semidirect
221. #10623100C22semidirect
222. #10623096C22semidirect
223. #10623096C22semidirect
224. #10623096C22semidirect
225. #10623095C22semidirect
226. #10623095C22semidirect
227. #10623095C22semidirect
228. #10623093C22semidirect
229. #10623089C22semidirect
230. #10623089C22semidirect
231. #10623089C22semidirect
232. #10623086C22semidirect
233. #10623085C22semidirect
234. #10623083C22semidirect
235. #10623079C22semidirect
236. #10623079C22semidirect
237. #10623079C22semidirect
238. #10623078C22semidirect
239. C4×D4×D11C22semidirect
240. C4×D4×D11C22semidirect
241. C4×D4×D11C22semidirect
242. C4×D4×D11C22semidirect
243. #10623070C22semidirect
244. D4×Dic22C22semidirect
245. C4×#4341C22semidirect
246. C4×#4341C22semidirect
247. C4×#4341C22semidirect
248. #10623066C22semidirect
249. #10623059C22semidirect
250. #10623053C22semidirect
251. #10623050C22semidirect
252. #10623026C22semidirect
253. #10623025C22semidirect
254. #10623025C22semidirect
255. #10623024C22semidirect
256. #10623021C22semidirect
257. #10623021C22semidirect
258. C2×#66936C22semidirect
259. C2×(C22⋊D11)⋊C4C22semidirect
260. C2×(C22⋊D11)⋊C4C22semidirect
261. C2×#66932C22semidirect
262. C2×#66930C22semidirect
263. #10623010C22semidirect
264. #10623008C22semidirect
265. C2×C42×D11C22semidirect
266. C2×#66923C22semidirect
1020. #3558D11semidirect
1199. #562C2×D11semidirect
1201. H(3,𝔽4)C2×D11semidirect
1211. #559C2×D11semidirect
1242. #548C2×D11semidirect
1262. #546C2×D11semidirect
1263. #546C2×D11semidirect
1271. D42C2×D11semidirect
1282. #542C2×D11semidirect
1311. #538C2×D11semidirect
1312. #538C2×D11semidirect
1325. #535C2×D11semidirect
1331. #534C2×D11semidirect
1352. #532C2×D11semidirect
1378. #529C2×D11semidirect
1382. C2×#124C2×D11semidirect
2230. C11#62748semidirect

Maximal subgroups

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

subgroupindex
#130831912
#130831782
#130831562
#130831542
#130831472
#130831352
#130831292
#130830862
#130830522
#130829802
#130829422
#130828472
#130828322
#130828072
#130828032
#130827562
#130827532
#130822252
#130822212
#130822062
#130821002
D4×#43412
#130820362
#130820292
#130820272
#130819982
#130819422
#130819102
D11×#5322
C2×#106232112
C11×#35582
#6274811