Finite Group Databasebeta

← #15661434

Subgroups — #15661434

Order 2816.

7280 conjugacy classes of subgroups.

The subgroup lattice has 2462 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083211C212yesmaximal, complemented
2#13083207C212yesmaximal, complemented
3#13083181C211yesmaximal, characteristic, complemented
4#13083171C214yesmaximal, complemented
5#13083153C212yesmaximal, complemented
6#13083138C212yesmaximal, complemented
7#13083135C211yesmaximal, characteristic, complemented
8#13083132C211yesmaximal, characteristic, complemented
9#13083076C212yesmaximal, complemented
10#13083059C212yesmaximal, complemented
11#13082985C212yesmaximal, complemented
12#13082948C212yesmaximal, complemented
13#13082848C212yesmaximal, complemented
14#13082842C212yesmaximal, complemented
15#13082809C214yesmaximal, complemented
16#13082757C212yesmaximal, complemented
17#13082753C212yesmaximal, complemented
18#13082219C214yesmaximal, complemented
19#13082208C212yesmaximal, complemented
20D4×#4343C212yesmaximal, complemented
21#13082105C212yesmaximal, complemented
22#13082100C212yesmaximal, complemented
23#13082036C214yesmaximal, complemented
24#13082028C212yesmaximal, complemented
25#13082027C212yesmaximal, complemented
26#13082003C212yesmaximal, complemented
27#13081948C212yesmaximal, complemented
28#13081913C211yesmaximal, characteristic, complemented
29C2×#10623199C211yesmaximal, characteristic, complemented
30D11×#529C211yesmaximal, characteristic, complemented
31C11×#3561C211yesmaximal, characteristic, complemented
32C2×#41×D11C2212yescomplemented
33C22×#4343C2211yescharacteristic, complemented
34C22×#4343C2212yescomplemented
35C22×#4341C2211yescharacteristic, complemented
36C11×#563C2212yescomplemented
37C11×#562C2212yescomplemented
38C11×#556C2212yescomplemented
39C11×#551C2214yescomplemented
40D4×Q8×C11C2212yescomplemented
41C11×#548C2212yescomplemented
42C11×#546C2212yescomplemented
43C11×#543C2212yescomplemented
44C11×#542C2214yescomplemented
45C11×#542C2212yescomplemented
46C11×#538C2212yescomplemented
47C11×#536C2212yescomplemented
48C11×#533C2211yescharacteristic, complemented
49C11×#529C2211yescharacteristic, complemented
50C2×C11×#124C2211yescharacteristic, complemented
51#10623365C2212yescomplemented
52#10623361C2212yescomplemented
53#10623355C2212yescomplemented
54#10623348C2212yescomplemented
55#10623348C2212yescomplemented
56#10623347C2212yescomplemented
57Q8×C22⋊D11C2212yescomplemented
58C2×#66997C2211yescharacteristic, complemented
59C2×#66993C2211yescharacteristic, complemented
60D4×C22⋊D11C2212yescomplemented
61#10623266C2214yescomplemented
62#10623264C2212yescomplemented
63#10623260C2214yescomplemented
64#10623259C2211yescharacteristic, complemented
65#10623259C2211yescharacteristic, complemented
66#10623257C2214yescomplemented
67#10623257C2212yescomplemented
68#10623256C2211yescharacteristic, complemented
69#10623256C2211yescharacteristic, complemented
70#10623256C2212yescomplemented
71#10623256C2214yescomplemented
72#10623255C2212yescomplemented
73#10623255C2212yescomplemented
74#10623252C2212yescomplemented
75#10623242C2214yescomplemented
76#10623242C2214yescomplemented
77#10623240C2214yescomplemented
78#10623240C2214yescomplemented
79#10623240C2214yescomplemented
80#10623240C2214yescomplemented
81#10623238C2214yescomplemented
82#10623238C2214yescomplemented
83#10623237C2212yescomplemented
84#10623237C2214yescomplemented
85#10623237C2214yescomplemented
86#10623237C2214yescomplemented
87#10623235C2214yescomplemented
88#10623235C2214yescomplemented
89D11×#126C2212yescomplemented
90#10623231C2212yescomplemented
91#10623231C2212yescomplemented
92#10623230C2212yescomplemented
93#10623222C2212yescomplemented
94#10623222C2211yescharacteristic, complemented
95#10623222C2212yescomplemented
96D11×#125C2211yescharacteristic, complemented
97#10623215C2212yescomplemented
98#10623214C2212yescomplemented
99#10623214C2212yescomplemented
100#10623213C2212yescomplemented
101#10623212C2212yescomplemented
102#10623212C2212yescomplemented
103#10623211C2211yescharacteristic, complemented
104#10623211C2214yescomplemented
105#10623210C2214yescomplemented
106#10623209C2214yescomplemented
107#10623209C2214yescomplemented
108#10623209C2214yescomplemented
109#10623209C2214yescomplemented
110#10623208C2212yescomplemented
111#10623207C2214yescomplemented
112#10623207C2212yescomplemented
113#10623205C2212yescomplemented
114#10623205C2212yescomplemented
115#10623205C2214yescomplemented
116D11×#124C2211yescharacteristic, complemented
117#10623199C2212yescomplemented
118#10623199C2212yescomplemented
119#10623199C2212yescomplemented
120#10623199C2212yescomplemented
121#10623199C2212yescomplemented
122#10623199C2212yescomplemented
123#10623199C2212yescomplemented
124#10623199C2212yescomplemented
125#10623199C2212yescomplemented
126#10623199C2214yescomplemented
127#10623198C2214yescomplemented
128#10623197C2214yescomplemented
129#10623197C2214yescomplemented
130#10623195C2214yescomplemented
131#10623194C2214yescomplemented
132#10623194C2214yescomplemented
133#10623191C2214yescomplemented
134#10623188C2214yescomplemented
135#10623187C2214yescomplemented
136#10623187C2214yescomplemented
137#10623187C2214yescomplemented
138#10623186C2214yescomplemented
139#10623185C2214yescomplemented
140#10623185C2214yescomplemented
141#10623184C2214yescomplemented
142#10623184C2214yescomplemented
143D11×#123C2212yescomplemented
144#10623180C2212yescomplemented
145#10623180C2214yescomplemented
146#10623178C2214yescomplemented
147#10623178C2214yescomplemented
148#10623178C2214yescomplemented
149#10623177C2214yescomplemented
150#10623176C2214yescomplemented
151#10623176C2214yescomplemented
152#10623176C2214yescomplemented
153#10623175C2214yescomplemented
154#10623175C2214yescomplemented
155#10623175C2212yescomplemented
156#10623175C2212yescomplemented
157#10623171C2214yescomplemented
158#10623171C2214yescomplemented
159#10623169C2214yescomplemented
160#10623167C2214yescomplemented
161#10623167C2214yescomplemented
162#10623165C2212yescomplemented
163#10623164C2214yescomplemented
164#10623163C2212yescomplemented
165#10623162C2214yescomplemented
166#10623162C2212yescomplemented
167#10623161C2214yescomplemented
168#10623161C2212yescomplemented
169#10623161C2212yescomplemented
170#10623161C2214yescomplemented
171#10623160C2214yescomplemented
172#10623160C2214yescomplemented
173#10623160C2214yescomplemented
174#10623158C2212yescomplemented
175#10623158C2212yescomplemented
176#10623158C2214yescomplemented
177#10623158C2214yescomplemented
178#10623158C2214yescomplemented
179#10623158C2214yescomplemented
180#10623158C2214yescomplemented
181#10623158C2212yescomplemented
182D11×C22⋊Q8C2211yescharacteristic, complemented
183#10623156C2212yescomplemented
184#10623155C2211yescharacteristic, complemented
185#10623155C2212yescomplemented
186#10623155C2212yescomplemented
187#10623155C2214yescomplemented
188#10623155C2214yescomplemented
189#10623151C2214yescomplemented
190#10623151C2214yescomplemented
191#10623150C2212yescomplemented
192#10623144C2214yescomplemented
193#10623141C2214yescomplemented
194#10623140C2214yescomplemented
195#10623140C2212yescomplemented
196#10623138C2214yescomplemented
197#10623137C2214yescomplemented
198#10623137C2212yescomplemented
199#10623136C2212yescomplemented
200D11×#121C2211yescharacteristic
201#10623131C2211yescharacteristic, complemented
202#10623130C2212yescomplemented
203#10623127C2214yescomplemented
204#10623121C2214yescomplemented
205#10623121C2214yescomplemented
206#10623120C2214yescomplemented
207#10623117C2214yescomplemented
208#10623116C2212yescomplemented
209#10623114C2212yescomplemented
210#10623113C2214yescomplemented
211#10623111C2211yescharacteristic, complemented
212#10623111C2212yescomplemented
213#10623111C2212yescomplemented
214#10623108C2212yescomplemented
215#10623107C2212yescomplemented
216C4×#4343C2212yescomplemented
217C4×#4343C2212yescomplemented
218C4×#4343C2212yescomplemented
219C4×Q8×D11C2211yescharacteristic, complemented
220#10623099C2212yescomplemented
221#10623099C2212yescomplemented
222#10623095C2214yescomplemented
223#10623093C2212yescomplemented
224#10623093C2214yescomplemented
225#10623088C2211yescharacteristic, complemented
226#10623085C2212yescomplemented
227#10623084C2212yescomplemented
228#10623083C2212yescomplemented
229#10623081C2214yescomplemented
230#10623081C2212yescomplemented
231D4×D44C2212yescomplemented
232D4×D44C2214yescomplemented
233C4×D4×D11C2212yescomplemented
234C4×D4×D11C2211yescharacteristic, complemented
235C4×D4×D11C2214yescomplemented
236C4×D4×D11C2214yescomplemented
237#10623071C2214yescomplemented
238#10623071C2214yescomplemented
239#10623069C2212yescomplemented
240C4×#4341C2212yescomplemented
241#10623066C2214yescomplemented
242#10623065C2212yescomplemented
243#10623061C2214yescomplemented
244#10623059C2212yescomplemented
245#10623058C2214yescomplemented
246#10623058C2214yescomplemented
247#10623056C2212yescomplemented
248#10623055C2212yescomplemented
249#10623053C2212yescomplemented
250#10623053C2214yescomplemented
251D11×#117C2212yescomplemented
252#10623025C2212yescomplemented
253#10623024C2214yescomplemented
254#10623024C2212yescomplemented
255#10623021C2214yescomplemented
256#10623021C2214yescomplemented
257#10623021C2214yescomplemented
258C2×#66937C2212yescomplemented
259C2×#66937C2212yescomplemented
260C2×(C22⋊D11)⋊C4C2212yescomplemented
261C2×(C22⋊D11)⋊C4C2212yescomplemented
262C2×(C22⋊D11)⋊C4C2214yescomplemented
263#10623010C2211yescharacteristic, complemented
264#10623008C2211yescharacteristic, complemented
265C2×#66928C2211yescharacteristic, complemented
266C2×C42×D11C2211yescharacteristic, complemented
267C2×C11×#41C2312yes—
268C22×Q8×C11C2311yescharacteristic
269C22×Q8×C11C2312yes—
270C22×D4×C11C2311yescharacteristic
271C22×C22⋊D11C2312yes—
272C22×C22⋊D11C2312yes—
273C22×C22⋊D11C2314yes—
274C22×C22⋊D11C2312yes—
275C23×Dic11C2312yes—
276#41×D11—48no—
277C2×#4343—44no—
278C2×#4343—48no—
279C2×#4343C2312yes—
280C2×#4343C2312yes—
281C2×#4343C2312yes—
282C2×#4343C2312yes—
283C2×#4343C2312yes—
284C2×#4343C2312yes—
285C2×#4343C2314yes—
286C2×#4343C2312yes—
287C2×#4343C2312yes—
288C2×#4343C2314yes—
289C2×Q8×D11C2312yes—
290C2×Q8×D11C2311yescharacteristic
291C2×#4341—44no—
292C2×#4341C2312yes—
293C2×#4341C2312yes—
294C2×#4341C2314yes—
295C2×#4341C2312yes—
296C2×#4341C2312yes—
297C2×D4×D11C2314yes—
298C2×D4×D11C2312yes—
299C2×D4×D11C2314yes—
300C2×D4×D11C2311yescharacteristic
301C2×D4×D11C2312yes—
302C2×D4×D11C2314yes—
303C2×#4339C2312yes—
304C2×#4339C2314yes—
305C2×#4339C2314yes—
306C2×#4339C2312yes—
307C22×D44C2311yescharacteristic
308C22×D44C2312yes—
309C22×D44C2312yes—
310C22×D44C2314yes—
311C22×C4×D11C2311yescharacteristic
312C22×C4×D11C2312yes—
313C22×C4×D11C2311yescharacteristic
314C22×C4×D11C2311yescharacteristic
315C22×C4×D11C2312yes—
316C22×C4×D11C2314yes—
317C22×C4×D11C2314yes—
318C22×Dic22C2311yescharacteristic
319C11×C4⋊Q8C2312yes—
320C11×C4⋊Q8C2311yescharacteristic
321C11×C4⋊Q8C2314yes—
322C11×C4⋊Q8C2311yescharacteristic
323C11×#126C2312yes—
324C11×#126C2314yes—
325C11×#126C2314yes—
326C11×#126C2314yes—
327C11×#125C2311yescharacteristic
328C11×#125C2312yes—
329C11×#124C2312yes—
330C11×#124C2312yes—
331C11×#124C2312yes—
332C11×#124C2312yes—
333C11×#124C2311yescharacteristic
334C11×#124C2312yes—
335C11×#124C2314yes—
336C11×#124C2314yes—
337C11×#123C2312yes—
338C11×#123C2314yes—
339C11×#123C2314yes—
340C11×#123C2314yes—
341C11×#123C2314yes—
342C11×C22⋊Q8C2311yescharacteristic
343C11×C22⋊Q8C2312yes—
344C11×C22⋊Q8C2312yes—
345C11×C22⋊Q8C2314yes—
346C11×C22⋊Q8C2314yes—
347C11×C22⋊Q8C2314yes—
348C11×C22⋊Q8C2312yes—
349C11×C22⋊Q8C2314yes—
350C11×C22⋊Q8C2314yes—
351C11×C22⋊Q8C2314yes—
352C11×C22⋊Q8C2314yes—
353C11×#121C2314yes—
354C11×#121C2312yes—
355C11×#121C2311yescharacteristic
356C11×#121C2314yes—
357C11×#120C2314yes—
358C4×Q8×C11C2312yes—
359C4×Q8×C11C2312yes—
360C4×Q8×C11C2311yescharacteristic
361C4×Q8×C11C2312yes—
362C4×D4×C11C2312yes—
363C4×D4×C11C2312yes—
364C4×D4×C11C2314yes—
365C4×D4×C11C2314yes—
366C4×D4×C11C2311yescharacteristic
367C11×#117C2312yes—
368C11×#117C2312yes—
369C11×#117C2314yes—
370C2×C11×C22⋊C4C2312yes—
371C2×C11×C22⋊C4C2312yes—
372C2×C11×C22⋊C4C2314yes—
373C2×C42×C11C2311yescharacteristic
374#67006C2314yes—
375#67000C2312yes—
376#67000C2312yes—
377#67000C2314yes—
378#67000C2312yes—
379#67000C2314yes—
380#67000C2312yes—
381#67000C2314yes—
382#67000C2311yescharacteristic
383#67000C2314yes—
384#66999C2312yes—
385#66999C2314yes—
386#66999C2312yes—
387#66999C2314yes—
388#66999C2312yes—
389#66999C2314yes—
390#66999C2314yes—
391#66999C2314yes—
392#66999C2314yes—
393#66999C2311yescharacteristic
394Q8×Dic11C2312yes—
395Q8×Dic11C2312yes—
396Q8×Dic11C2312yes—
397Q8×Dic11C2311yescharacteristic
398#66997C2312yes—
399#66997C2312yes—
400#66997C2312yes—
401#66997C2312yes—
402#66997C2314yes—
403#66997C2312yes—
404#66993C2312yes—
405#66993C2312yes—
406#66993C2312yes—
407#66993C2312yes—
408#66993C2312yes—
409#66993C2314yes—
410#66993C2314yes—
411#66992C2312yes—
412#66992C2314yes—
413#66992C2314yes—
414#66992C2314yes—
415#66992C2314yes—
416#66992C2314yes—
417#66991C2312yes—
418#66991C2311yescharacteristic
419#66991C2314yes—
420#66991C2314yes—
421#66990C2314yes—
422#66990C2314yes—
423#66990C2314yes—
424#66990C2314yes—
425#66990C2314yes—
426#66990C2314yes—
427#66989C2311yescharacteristic
428#66988C2312yes—
429#66988C2314yes—
430D4×Dic11C2312yes—
431D4×Dic11C2312yes—
432D4×Dic11C2314yes—
433D4×Dic11C2311yescharacteristic
434#66983C2312yes—
435#66983C2312yes—
436#66983C2311yescharacteristic
437#66983C2314yes—
438#66983C2314yes—
439#66983C2314yes—
440#66983C2314yes—
441#66983C2314yes—
442#66983C2314yes—
443#66983C2314yes—
444#66983C2312yes—
445#66983C2314yes—
446#66982C2312yes—
447#66982C2314yes—
448#66982C2314yes—
449#66982C2314yes—
450#66982C2314yes—
451C4×C22⋊D11C2312yes—
452C4×C22⋊D11C2314yes—
453C4×C22⋊D11C2314yes—
454C4×C22⋊D11C2314yes—
455C4×C22⋊D11C2312yes—
456C4×C22⋊D11C2312yes—
457C4×C22⋊D11C2314yes—
458C4×C22⋊D11C2314yes—
459C2×(C2×D11)⋊C4C2312yes—
460C2×(C2×D11)⋊C4C2312yes—
461C2×(C2×D11)⋊C4C2314yes—
462#66979C2312yes—
463#66977C2311yescharacteristic
464#66977C2312yes—
465#66977C2314yes—
466C2×Dic11⋊C4C2312yes—
467C2×Dic11⋊C4C2312yes—
468C2×Dic11⋊C4C2314yes—
469C2×C4×Dic11C2311yescharacteristic
470C2×C4×Dic11C2311yescharacteristic
471C2×C4×Dic11C2311yescharacteristic
472C2×C4×Dic11C2314yes—
473#66951C2312yes—
474#66951C2312yes—
475#66951C2312yes—
476#66951C2314yes—
477#66951C2314yes—
478#66951C2314yes—
479#66951C2314yes—
480#66951C2314yes—
481#66951C2314yes—
482#66951C2314yes—
483#66950C2312yes—
484#66950C2314yes—
485#66950C2312yes—
486#66950C2312yes—
487#66950C2311yescharacteristic
488#66949C2314yes—
489#66949C2314yes—
490#66949C2314yes—
491#66949C2312yes—
492#66949C2314yes—
493#66949C2314yes—
494#66949C2314yes—
495#66949C2314yes—
496#66949C2314yes—
497#66949C2314yes—
498#66948C2314yes—
499#66948C2314yes—
500#66948C2314yes—
501#66948C2314yes—
502#66948C2314yes—
503#66948C2314yes—
504#66948C2314yes—
505#66948C2311yescharacteristic
506#66948C2312yes—
507#66948C2314yes—
508#66948C2314yes—
509#66948C2312yes—
510#66948C2314yes—
511#66948C2312yes—
512#66948C2312yes—
513#66948C2314yes—
514#66948C2312yes—
515#66947C2312yes—
516#66947C2314yes—
517#66947C2314yes—
518#66947C2314yes—
519#66947C2314yes—
520#66947C2314yes—
521#66947C2314yes—
522#66947C2312yes—
523#66947C2314yes—
524#66947C2314yes—
525#66947C2314yes—
526#66947C2314yes—
527#66947C2314yes—
528#66947C2314yes—
529#66947C2314yes—
530#66947C2314yes—
531#66947C2314yes—
532#66947C2314yes—
533#66946C2314yes—
534#66946C2314yes—
535#66946C2312yes—
536#66946C2314yes—
537#66946C2312yes—
538#66946C2314yes—
539#66946C2314yes—
540#66946C2314yes—
541#66946C2312yes—
542#66946C2312yes—
543#66946C2314yes—
544#66946C2312yes—
545#66946C2312yes—
546#66946C2311yescharacteristic
547#66945C2312yes—
548#66945C2312yes—
549#66945C2314yes—
550#66945C2314yes—
551#66945C2312yes—
552#66945C2312yes—
553#66945C2314yes—
554C4⋊C4×D11C2312yes—
555C4⋊C4×D11C2312yes—
556C4⋊C4×D11C2312yes—
557C4⋊C4×D11C2312yes—
558C4⋊C4×D11C2314yes—
559C4⋊C4×D11C2311yescharacteristic
560C4⋊C4×D11C2314yes—
561C4⋊C4×D11C2311yescharacteristic
562#66943C2311yescharacteristic
563#66943C2314yes—
564#66943C2314yes—
565#66943C2312yes—
566#66943C2312yes—
567#66943C2311yescharacteristic
568#66942C2314yes—
569#66942C2314yes—
570#66942C2312yes—
571#66942C2314yes—
572#66942C2312yes—
573#66942C2314yes—
574#66941C2314yes—
575#66940C2311yescharacteristic
576#66940C2312yes—
577#66940C2312yes—
578#66940C2314yes—
579#66940C2312yes—
580#66940C2312yes—
581#66939C2314yes—
582#66939C2314yes—
583#66939C2314yes—
584#66939C2314yes—
585#66939C2312yes—
586#66939C2314yes—
587#66939C2314yes—
588#66938C2314yes—
589#66938C2314yes—
590#66938C2314yes—
591#66938C2314yes—
592#66938C2314yes—
593#66938C2312yes—
594#66938C2312yes—
595#66938C2314yes—
596#66937C2314yes—
597#66937C2314yes—
598#66937C2314yes—
599#66937C2314yes—
600#66937C2314yes—
601#66937C2312yes—
602#66937C2314yes—
603#66937C2314yes—
604#66937C2314yes—
605#66937C2314yes—
606#66937C2314yes—
607#66937C2314yes—
608#66937C2314yes—
609#66937C2314yes—
610#66937C2314yes—
611#66937C2314yes—
612#66937C2314yes—
613#66937C2314yes—
614#66937C2314yes—
615#66937C2314yes—
616#66937C2314yes—
617#66937C2314yes—
618#66937C2314yes—
619#66937C2314yes—
620#66936C2314yes—
621#66936C2314yes—
622#66936C2314yes—
623#66936C2314yes—
624#66936C2314yes—
625#66936C2312yes—
626#66936C2314yes—
627#66936C2314yes—
628#66936C2312yes—
629#66936C2314yes—
630#66935C2314yes—
631#66935C2314yes—
632#66935C2314yes—
633#66935C2314yes—
634#66935C2314yes—
635#66935C2314yes—
636#66935C2314yes—
637#66935C2314yes—
638#66935C2314yes—
639#66935C2314yes—
640#66935C2314yes—
641#66935C2314yes—
642#66935C2314yes—
643#66935C2314yes—
644#66935C2314yes—
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)⋊C4C2314yes—
655(C22⋊D11)⋊C4C2314yes—
656(C22⋊D11)⋊C4C2314yes—
657(C22⋊D11)⋊C4C2314yes—
658(C22⋊D11)⋊C4C2314yes—
659(C22⋊D11)⋊C4C2314yes—
660(C22⋊D11)⋊C4C2314yes—
661(C22⋊D11)⋊C4C2312yes—
662(C22⋊D11)⋊C4C2314yes—
663(C22⋊D11)⋊C4C2314yes—
664(C22⋊D11)⋊C4C2314yes—
665(C22⋊D11)⋊C4C2314yes—
666(C22⋊D11)⋊C4C2314yes—
667(C22⋊D11)⋊C4C2314yes—
668(C22⋊D11)⋊C4C2314yes—
669C22⋊C4×D11C2312yes—
670C22⋊C4×D11C2312yes—
671C22⋊C4×D11C2312yes—
672C22⋊C4×D11C2314yes—
673C22⋊C4×D11C2314yes—
674C22⋊C4×D11C2312yes—
675C22⋊C4×D11C2314yes—
676C22⋊C4×D11C2312yes—
677C22⋊C4×D11C2314yes—
678#66932C2312yes—
679#66932C2312yes—
680#66932C2312yes—
681#66932C2314yes—
682#66932C2314yes—
683#66932C2314yes—
684#66931C2314yes—
685#66931C2314yes—
686#66931C2312yes—
687#66931C2314yes—
688#66930C2314yes—
689#66930C2312yes—
690#66930C2312yes—
691#66929C2312yes—
692#66929C2314yes—
693#66929C2314yes—
694#66929C2314yes—
695#66928C2312yes—
696#66928C2314yes—
697#66928C2312yes—
698#66928C2312yes—
699#66928C2312yes—
700#66928C2312yes—
701#66928C2312yes—
702#66928C2311yescharacteristic
703#66927C2314yes—
704#66927C2311yescharacteristic
705#66927C2312yes—
706C4×D44C2312yes—
707C4×D44C2314yes—
708C4×D44C2314yes—
709C4×D44C2314yes—
710C4×D44C2314yes—
711C4×D44C2314yes—
712C4×D44C2312yes—
713C4×D44C2312yes—
714C4×D44C2312yes—
715C4×D44C2311yescharacteristic
716#66925C2314yes—
717#66925C2314yes—
718#66925C2314yes—
719#66925C2312yes—
720#66925C2312yes—
721C42×D11C2311yescharacteristic
722C42×D11C2314yes—
723C42×D11C2311yescharacteristic
724C42×D11C2314yes—
725C42×D11C2311yescharacteristic
726C42×D11C2311yescharacteristic
727C42×D11C2312yes—
728C42×D11C2311yescharacteristic
729C42×D11C2311yescharacteristic
730C42×D11C2311yescharacteristic
731C42×D11C2311yescharacteristic
732#66923C2314yes—
733#66923C2311yescharacteristic
734#66922C2311yescharacteristic
735C4×Dic22C2312yes—
736C4×Dic22C2312yes—
737C4×Dic22C2311yescharacteristic
738#62748—111nomaximal, Sylow
739C24×C11C2412yes—
740C23×D11C2411yescharacteristic
741C23×D11C2412yes—
742C23×D11C2412yes—
743C23×D11C2414yes—
744C23×D11C2414yes—
745C11×#41—44no—
746C2×Q8×C11—42no—
747C2×Q8×C11—44no—
748C2×Q8×C11C2412yes—
749C2×Q8×C11C2412yes—
750C2×Q8×C11C2412yes—
751C2×Q8×C11C2414yes—
752C2×Q8×C11C2412yes—
753C2×Q8×C11C2411yescharacteristic
754C2×D4×C11—42no—
755C2×D4×C11C2412yes—
756C2×D4×C11C2412yes—
757C2×D4×C11C2411yescharacteristic
758C2×D4×C11C2414yes—
759C2×D4×C11C2414yes—
760C2×D4×C11C2412yes—
761C22×C4×C11C2411yescharacteristic
762C22×C4×C11C2411yescharacteristic
763C22×C4×C11C2412yes—
764C22×C4×C11C2411yescharacteristic
765C22×C4×C11C2414yes—
766C22×C4×C11C2412yes—
767C22×C4×C11C2414yes—
768C22×C4×C11C2414yes—
769C2×C22⋊D11—44no—
770C2×C22⋊D11—44no—
771C2×C22⋊D11—48no—
772C2×C22⋊D11—44no—
773C2×C22⋊D11C2412yes—
774C2×C22⋊D11C2414yes—
775C2×C22⋊D11C2414yes—
776C2×C22⋊D11C2414yes—
777C2×C22⋊D11C2412yes—
778C2×C22⋊D11C2414yes—
779C2×C22⋊D11C2414yes—
780C2×C22⋊D11C2414yes—
781C2×C22⋊D11C2414yes—
782C2×C22⋊D11C2414yes—
783C2×C22⋊D11C2414yes—
784C2×C22⋊D11C2412yes—
785C2×C22⋊D11C2414yes—
786C2×C22⋊D11C2414yes—
787C2×C22⋊D11C2414yes—
788C2×C22⋊D11C2414yes—
789C22×Dic11—44no—
790C22×Dic11C2412yes—
791C22×Dic11C2414yes—
792C22×Dic11C2411yescharacteristic
793C22×Dic11C2411yescharacteristic
794C22×Dic11C2411yescharacteristic
795C22×Dic11C2412yes—
796C22×Dic11C2414yes—
797C22×Dic11C2414yes—
798#4343—28no—
799#4343—28no—
800#4343—44no—
801#4343—44no—
802#4343—44no—
803#4343—48no—
804#4343—44no—
805#4343—44no—
806#4343—48no—
807#4343—44no—
808Q8×D11—44no—
809Q8×D11—42no—
810#4341—28no—
811#4341—44no—
812#4341—44no—
813#4341—48no—
814#4341—44no—
815D4×D11—44no—
816D4×D11—48no—
817D4×D11—44no—
818D4×D11—48no—
819D4×D11—42no—
820D4×D11—48no—
821#4339—44no—
822#4339—44no—
823#4339—48no—
824#4339—48no—
825C2×D44—42no—
826C2×D44—44no—
827C2×D44—44no—
828C2×D44—48no—
829C2×D44C2412yes—
830C2×D44C2412yes—
831C2×D44C2414yes—
832C2×D44C2414yes—
833C2×D44C2412yes—
834C2×D44C2414yes—
835C2×D44C2412yes—
836C2×D44C2414yes—
837C2×D44C2414yes—
838C2×D44C2411yescharacteristic
839C2×D44C2412yes—
840C2×D44C2414yes—
841C2×D44C2414yes—
842C2×D44C2414yes—
843C2×D44C2412yes—
844C2×D44C2414yes—
845C2×D44C2414yes—
846C2×C4×D11—24no—
847C2×C4×D11—28no—
848C2×C4×D11—42no—
849C2×C4×D11—42no—
850C2×C4×D11—48no—
851C2×C4×D11—44no—
852C2×C4×D11—48no—
853C2×C4×D11C2411yescharacteristic
854C2×C4×D11C2411yescharacteristic
855C2×C4×D11C2411yescharacteristic
856C2×C4×D11C2411yescharacteristic
857C2×C4×D11C2411yescharacteristic
858C2×C4×D11C2414yes—
859C2×C4×D11C2414yes—
860C2×C4×D11C2414yes—
861C2×C4×D11C2412yes—
862C2×C4×D11C2412yes—
863C2×C4×D11C2412yes—
864C2×C4×D11C2411yescharacteristic
865C2×C4×D11C2411yescharacteristic
866C2×C4×D11C2411yescharacteristic
867C2×C4×D11C2411yescharacteristic
868C2×C4×D11C2411yescharacteristic
869C2×C4×D11C2411yescharacteristic
870C2×C4×D11C2414yes—
871C2×C4×D11C2414yes—
872C2×C4×D11C2412yes—
873C2×C4×D11C2414yes—
874C2×C4×D11C2412yes—
875C2×C4×D11C2414yes—
876C2×C4×D11C2414yes—
877C2×C4×D11C2414yes—
878C2×C4×D11C2414yes—
879C2×C4×D11C2414yes—
880C2×C4×D11C2411yescharacteristic
881C2×Dic22—42no—
882C2×Dic22C2412yes—
883C2×Dic22C2412yes—
884C2×Dic22C2411yescharacteristic
885C2×Dic22C2412yes—
886C2×Dic22C2412yes—
887C2×Dic22C2414yes—
888C11×C4⋊C4C2411yescharacteristic
889C11×C4⋊C4C2412yes—
890C11×C4⋊C4C2414yes—
891C11×C4⋊C4C2412yes—
892C11×C4⋊C4C2412yes—
893C11×C4⋊C4C2412yes—
894C11×C4⋊C4C2414yes—
895C11×C4⋊C4C2414yes—
896C11×C4⋊C4C2414yes—
897C11×C4⋊C4C2412yes—
898C11×C4⋊C4C2412yes—
899C11×C4⋊C4C2414yes—
900C11×C4⋊C4C2411yescharacteristic
901C11×C4⋊C4C2412yes—
902C11×C4⋊C4C2412yes—
903C11×C4⋊C4C2414yes—
904C11×C22⋊C4C2412yes—
905C11×C22⋊C4C2412yes—
906C11×C22⋊C4C2414yes—
907C11×C22⋊C4C2412yes—
908C11×C22⋊C4C2414yes—
909C11×C22⋊C4C2414yes—
910C11×C22⋊C4C2414yes—
911C11×C22⋊C4C2414yes—
912C11×C22⋊C4C2412yes—
913C11×C22⋊C4C2412yes—
914C11×C22⋊C4C2414yes—
915C11×C22⋊C4C2414yes—
916C11×C22⋊C4C2414yes—
917C11×C22⋊C4C2414yes—
918C11×C22⋊C4C2414yes—
919C42×C11C2412yes—
920C42×C11C2411yescharacteristic
921C42×C11C2411yescharacteristic
922C42×C11C2411yescharacteristic
923C42×C11C2414yes—
924C42×C11C2411yescharacteristic
925C42×C11C2414yes—
926C22⋊Dic11C2412yes—
927C22⋊Dic11C2412yes—
928C22⋊Dic11C2414yes—
929C22⋊Dic11C2412yes—
930C22⋊Dic11C2414yes—
931C22⋊Dic11C2412yes—
932C22⋊Dic11C2412yes—
933C22⋊Dic11C2414yes—
934(C2×D11)⋊C4C2414yes—
935(C2×D11)⋊C4C2414yes—
936(C2×D11)⋊C4C2414yes—
937(C2×D11)⋊C4C2412yes—
938(C2×D11)⋊C4C2412yes—
939(C2×D11)⋊C4C2412yes—
940(C2×D11)⋊C4C2412yes—
941(C2×D11)⋊C4C2414yes—
942(C2×D11)⋊C4C2414yes—
943(C2×D11)⋊C4C2414yes—
944(C2×D11)⋊C4C2412yes—
945(C2×D11)⋊C4C2414yes—
946(C2×D11)⋊C4C2414yes—
947(C2×D11)⋊C4C2414yes—
948(C2×D11)⋊C4C2414yes—
949(C2×D11)⋊C4C2414yes—
950(C2×D11)⋊C4C2414yes—
951(C2×D11)⋊C4C2412yes—
952(C2×D11)⋊C4C2412yes—
953(C2×D11)⋊C4C2414yes—
954(C2×D11)⋊C4C2414yes—
955(C2×D11)⋊C4C2414yes—
956(C2×D11)⋊C4C2414yes—
957(C2×D11)⋊C4C2414yes—
958(C2×D11)⋊C4C2414yes—
959(C2×D11)⋊C4C2412yes—
960(C2×D11)⋊C4C2414yes—
961(C2×D11)⋊C4C2414yes—
962(C2×D11)⋊C4C2414yes—
963(C2×D11)⋊C4C2414yes—
964(C2×D11)⋊C4C2414yes—
965(C2×D11)⋊C4C2412yes—
966(C2×D11)⋊C4C2414yes—
967(C2×D11)⋊C4C2412yes—
968C4⋊Dic11C2412yes—
969C4⋊Dic11C2411yescharacteristic
970C4⋊Dic11C2412yes—
971C4⋊Dic11C2412yes—
972C4⋊Dic11C2414yes—
973C4⋊Dic11C2414yes—
974C4⋊Dic11C2411yescharacteristic
975C4⋊Dic11C2412yes—
976C4⋊Dic11C2414yes—
977C4⋊Dic11C2414yes—
978C4⋊Dic11C2412yes—
979C4⋊Dic11C2412yes—
980Dic11⋊C4C2414yes—
981Dic11⋊C4C2412yes—
982Dic11⋊C4C2412yes—
983Dic11⋊C4C2412yes—
984Dic11⋊C4C2412yes—
985Dic11⋊C4C2412yes—
986Dic11⋊C4C2412yes—
987Dic11⋊C4C2414yes—
988Dic11⋊C4C2414yes—
989Dic11⋊C4C2412yes—
990Dic11⋊C4C2414yes—
991Dic11⋊C4C2412yes—
992Dic11⋊C4C2414yes—
993Dic11⋊C4C2414yes—
994Dic11⋊C4C2414yes—
995Dic11⋊C4C2414yes—
996Dic11⋊C4C2414yes—
997Dic11⋊C4C2414yes—
998Dic11⋊C4C2414yes—
999Dic11⋊C4C2412yes—
1000Dic11⋊C4C2412yes—
1001Dic11⋊C4C2414yes—
1002C4×Dic11C2411yescharacteristic
1003C4×Dic11C2412yes—
1004C4×Dic11C2414yes—
1005C4×Dic11C2411yescharacteristic
1006C4×Dic11C2412yes—
1007C4×Dic11C2411yescharacteristic
1008C4×Dic11C2411yescharacteristic
1009C4×Dic11C2411yescharacteristic
1010C4×Dic11C2411yescharacteristic
1011C4×Dic11C2414yes—
1012C4×Dic11C2411yescharacteristic
1013C4×Dic11C2411yescharacteristic
1014C4×Dic11C2411yescharacteristic
1015C4×Dic11C2411yescharacteristic
1016C4×Dic11C2411yescharacteristic
1017C4×Dic11C2411yescharacteristic
1018C4×Dic11C2412yes—
1019C4×Dic11C2414yes—
1020C4×Dic11C2414yes—
1021C4×Dic11C2414yes—
1022#3562—112no—
1023#3562—112no—
1024#3561—111no—
1025#3561D1111yescharacteristic, complemented
1026#3560—114no—
1027#3559—112no—
1028#3558—112no—
1029#3558—111no—
1030#3558—111no—
1031#3554—112no—
1032#3552—112no—
1033#3546—112no—
1034#3543—112no—
1035#3537—112no—
1036#3536—112no—
1037#3534—114no—
1038#3529—112no—
1039#3529—112no—
1040#3481—114no—
1041#3480—112no—
1042D4×#41—112no—
1043D4×#41—112no—
1044D4×#41—112no—
1045#3460—114no—
1046#3459—112no—
1047#3459—112no—
1048#3455—112no—
1049#3449—112no—
1050#3444—111no—
1051C2×#532—111no—
1052C2×#529—111no—
1053C23×C11—24no—
1054C23×C11—42no—
1055C23×C11—42no—
1056C23×C11C2512yes—
1057C23×C11C2514yes—
1058C23×C11C2511yescharacteristic
1059C22×D11—22no—
1060C22×D11—24no—
1061C22×D11—22no—
1062C22×D11—24no—
1063C22×D11—41no—
1064C22×D11—42no—
1065C22×D11—44no—
1066C22×D11—44no—
1067C22×D11—42no—
1068C22×D11—42no—
1069C22×D11—44no—
1070C22×D11—44no—
1071C22×D11—44no—
1072C22×D11—44no—
1073C22×D11—42no—
1074C22×D11C2512yes—
1075C22×D11C2514yes—
1076C22×D11C2514yes—
1077C22×D11C2511yescharacteristic
1078C22×D11C2511yescharacteristic
1079Q8×C11—24no—
1080Q8×C11—24no—
1081Q8×C11—41no—
1082Q8×C11—44no—
1083Q8×C11—42no—
1084Q8×C11—42no—
1085D4×C11—24no—
1086D4×C11—24no—
1087D4×C11—44no—
1088D4×C11—41no—
1089D4×C11—44no—
1090D4×C11—42no—
1091C2×C4×C11—22no—
1092C2×C4×C11—22no—
1093C2×C4×C11—24no—
1094C2×C4×C11—44no—
1095C2×C4×C11—42no—
1096C2×C4×C11—44no—
1097C2×C4×C11—41no—
1098C2×C4×C11—44no—
1099C2×C4×C11C2512yes—
1100C2×C4×C11C2511yescharacteristic
1101C2×C4×C11C2514yes—
1102C2×C4×C11C2511yescharacteristic
1103C2×C4×C11C2511yescharacteristic
1104C2×C4×C11C2511yescharacteristic
1105C2×C4×C11C2511yescharacteristic
1106C2×C4×C11C2512yes—
1107C2×C4×C11C2514yes—
1108C2×C4×C11C2514yes—
1109C2×C4×C11C2512yes—
1110C2×C4×C11C2511yescharacteristic
1111C22⋊D11—28no—
1112C22⋊D11—24no—
1113C22⋊D11—28no—
1114C22⋊D11—28no—
1115C22⋊D11—24no—
1116C22⋊D11—44no—
1117C22⋊D11—44no—
1118C22⋊D11—44no—
1119C22⋊D11—44no—
1120C22⋊D11—42no—
1121C22⋊D11—44no—
1122C22⋊D11—44no—
1123C22⋊D11—44no—
1124C22⋊D11—44no—
1125C22⋊D11—44no—
1126C22⋊D11—44no—
1127C2×Dic11—22no—
1128C2×Dic11—24no—
1129C2×Dic11—22no—
1130C2×Dic11—28no—
1131C2×Dic11—22no—
1132C2×Dic11—42no—
1133C2×Dic11—44no—
1134C2×Dic11—44no—
1135C2×Dic11C2511yescharacteristic
1136C2×Dic11C2512yes—
1137C2×Dic11C2512yes—
1138C2×Dic11C2511yescharacteristic
1139C2×Dic11C2511yescharacteristic
1140C2×Dic11C2511yescharacteristic
1141C2×Dic11C2514yes—
1142C2×Dic11C2514yes—
1143C2×Dic11C2512yes—
1144C2×Dic11C2511yescharacteristic
1145C2×Dic11C2511yescharacteristic
1146D44—28no—
1147D44—28no—
1148D44—24no—
1149D44—24no—
1150D44—44no—
1151D44—42no—
1152D44—44no—
1153D44—44no—
1154D44—44no—
1155D44—42no—
1156D44—44no—
1157D44—41no—
1158D44—44no—
1159D44—44no—
1160D44—42no—
1161D44—44no—
1162D44—42no—
1163C4×D11—24no—
1164C4×D11—22no—
1165C4×D11—24no—
1166C4×D11—22no—
1167C4×D11—24no—
1168C4×D11—22no—
1169C4×D11—28no—
1170C4×D11—28no—
1171C4×D11—22no—
1172C4×D11—22no—
1173C4×D11—28no—
1174C4×D11—41no—
1175C4×D11—41no—
1176C4×D11—41no—
1177C4×D11—41no—
1178C4×D11—41no—
1179C4×D11—41no—
1180C4×D11—44no—
1181C4×D11—44no—
1182C4×D11—44no—
1183C4×D11—44no—
1184C4×D11—44no—
1185C4×D11—44no—
1186C4×D11—44no—
1187C4×D11—44no—
1188C4×D11—42no—
1189C4×D11—42no—
1190C4×D11H(5,𝔽2)14yes—
1191Dic22—24no—
1192Dic22—24no—
1193Dic22—42no—
1194Dic22—42no—
1195Dic22—44no—
1196Dic22—41no—
1197C22×#41—112no—
1198C22×#41—111no—
1199C22×#41—112no—
1200C22×#41—111no—
1201#563—114no—
1202#563—112no—
1203#563—114no—
1204#563C2×D1112yescomplemented
1205#562—112no—
1206#562—112no—
1207#562—112no—
1208#562—114no—
1209#562—114no—
1210#562—114no—
1211#562—114no—
1212#562C2×D1112yescomplemented
1213H(3,𝔽4)—112no—
1214H(3,𝔽4)—112no—
1215#560—114no—
1216#560—114no—
1217#560—114no—
1218#560—114no—
1219#560—114no—
1220#560—114no—
1221#559—112no—
1222#559—112no—
1223#559—114no—
1224#559—112no—
1225#557—112no—
1226#556—112no—
1227#556—112no—
1228#556C2×D1112yescomplemented
1229#554—114no—
1230#554—114no—
1231#553—114no—
1232#553—114no—
1233#553—114no—
1234#553—114no—
1235#553—114no—
1236#553—114no—
1237#553—114no—
1238#551—114no—
1239#551—114no—
1240#551—114no—
1241#551C2×D1114yescomplemented
1242#550—112no—
1243#550—112no—
1244#550—112no—
1245#550—112no—
1246D4×Q8—112no—
1247D4×Q8—112no—
1248D4×Q8C2×D1112yescomplemented
1249#548—112no—
1250#548—112no—
1251#548—112no—
1252#548—114no—
1253#548—112no—
1254#548—112no—
1255#548C2×D1112yescomplemented
1256#547—112no—
1257#547—112no—
1258#547—114no—
1259#547—114no—
1260#547—114no—
1261#547—112no—
1262#546—114no—
1263#546—112no—
1264#546—114no—
1265#546—114no—
1266#546—114no—
1267#546—112no—
1268#546—112no—
1269#546—114no—
1270#546—114no—
1271#546—114no—
1272#546—112no—
1273#546—112no—
1274#546—114no—
1275#546—114no—
1276#546—114no—
1277#546C2×D1112yescomplemented
1278D42—112no—
1279D42—114no—
1280D42—112no—
1281D42—114no—
1282D42—114no—
1283D42—114no—
1284D42—112no—
1285#544—114no—
1286#543—112no—
1287#543C2×D1112yescomplemented
1288#542—112no—
1289#542—112no—
1290#542—114no—
1291#542—114no—
1292#542—114no—
1293#542—112no—
1294#542C2×D1112yescomplemented
1295#542C2×D1114yescomplemented
1296#541—112no—
1297#541—112no—
1298#540—114no—
1299#540—114no—
1300#540—112no—
1301#540—112no—
1302#540—114no—
1303#540—114no—
1304#539—114no—
1305#539—114no—
1306#539—114no—
1307#539—114no—
1308#539—114no—
1309#539—114no—
1310#539—114no—
1311#539—114no—
1312#538—114no—
1313#538—114no—
1314#538—114no—
1315#538—114no—
1316#538—114no—
1317#538—114no—
1318#538—114no—
1319#538—112no—
1320#538—112no—
1321#538—114no—
1322#538—114no—
1323#538—114no—
1324#538—112no—
1325#538C2×D1112yescomplemented
1326#537—114no—
1327#537—114no—
1328#537—114no—
1329#536—112no—
1330#536—112no—
1331#536—112no—
1332#536C2×D1112yescomplemented
1333#535—112no—
1334#535—112no—
1335#535—112no—
1336#535—114no—
1337#535—114no—
1338#535—112no—
1339#534—114no—
1340#534—114no—
1341#534—112no—
1342#534—114no—
1343#534—114no—
1344#534—112no—
1345#533—111no—
1346#533—111no—
1347#533C2×D1111yescharacteristic, complemented
1348#532—111no—
1349#532—111no—
1350#532—112no—
1351#532—114no—
1352#532—112no—
1353#532—112no—
1354#532—112no—
1355#532—112no—
1356#532—112no—
1357#532—112no—
1358#532—112no—
1359#532—112no—
1360#532—112no—
1361#532—114no—
1362#532—114no—
1363#532—111no—
1364C2×C4⋊Q8—111no—
1365C2×#127—111no—
1366#529—112no—
1367#529—114no—
1368#529—114no—
1369#529—114no—
1370#529—111no—
1371#529—112no—
1372#529—112no—
1373#529—111no—
1374#529—114no—
1375#529—112no—
1376#529—114no—
1377#529—111no—
1378#529—112no—
1379#529—112no—
1380#529—114no—
1381#529—114no—
1382#529—111no—
1383#529—111no—
1384#529—112no—
1385#529—112no—
1386#529—112no—
1387#529—111no—
1388#529—112no—
1389#529—111no—
1390#529C2×D1111yescharacteristic, complemented
1391C2×#126—112no—
1392C2×#125—111no—
1393C2×#124—111no—
1394C2×#124—111no—
1395C2×#124C2×D1111yescharacteristic, complemented
1396#525—114no—
1397#525—114no—
1398#525—114no—
1399#525—112no—
1400#525—112no—
1401#525—114no—
1402#525—114no—
1403#525—112no—
1404#525—114no—
1405#525—114no—
1406#525—114no—
1407#525—112no—
1408#525—114no—
1409#525—114no—
1410#525—112no—
1411C2×#123—112no—
1412C2×C22⋊Q8—111no—
1413C2×#121—111no—
1414C2×#121—112no—
1415C2×#121—112no—
1416C4×#41—112no—
1417C4×#41—112no—
1418C4×#41—112no—
1419C4×#41—112no—
1420C4×#41—112no—
1421C4×#41—114no—
1422C2×C4×Q8—111no—
1423C2×C4×D4—112no—
1424C2×C4×D4—111no—
1425C2×C4×D4—114no—
1426C2×C4×D4—114no—
1427C2×C4×D4—112no—
1428C2×C4×D4—112no—
1429C2×C4×D4—114no—
1430C2×#117—112no—
1431C22×C42—111no—
1432C22×C11—21no—
1433C22×C11—21no—
1434C22×C11—22no—
1435C22×C11—24no—
1436C22×C11—24no—
1437C22×C11—22no—
1438C22×C11—22no—
1439C22×C11—24no—
1440C22×C11—84no—
1441C22×C11#58512yes—
1442C22×C11C2611yescharacteristic
1443C2×D11—21no—
1444C2×D11—21no—
1445C2×D11—22no—
1446C2×D11—21no—
1447C2×D11—24no—
1448C2×D11—24no—
1449C2×D11—24no—
1450C2×D11—21no—
1451C2×D11—22no—
1452C2×D11—22no—
1453C2×D11—24no—
1454C2×D11—24no—
1455C2×D11—24no—
1456C2×D11—21no—
1457C2×D11—44no—
1458C2×D11—84no—
1459C2×D11—84no—
1460C2×D11—88no—
1461C2×D11—88no—
1462C2×D11C2×H(5,𝔽2)12yes—
1463C4×C11—22no—
1464C4×C11—21no—
1465C4×C11—24no—
1466C4×C11—24no—
1467C4×C11—21no—
1468C4×C11—21no—
1469C4×C11—22no—
1470C4×C11—21no—
1471C4×C11—24no—
1472C4×C11—21no—
1473C4×C11—22no—
1474C4×C11C2×H(5,𝔽2)12yes—
1475Dic11—24no—
1476Dic11—22no—
1477Dic11—21no—
1478Dic11—22no—
1479Dic11—24no—
1480Dic11—21no—
1481Dic11—21no—
1482Dic11—21no—
1483Dic11—22no—
1484Dic11C2×H(5,𝔽2)12yes—
1485Dic11#58512yes—
1486C2×#41—112no—
1487C2×#41—112no—
1488C2×#41—112no—
1489C2×#41—114no—
1490C2×#41—112no—
1491C2×#41—112no—
1492C2×#41—112no—
1493C2×#41—112no—
1494C2×#41—112no—
1495C2×#41—114no—
1496C2×#41—112no—
1497C2×#41—114no—
1498C2×#41—112no—
1499C2×#41—112no—
1500C2×#41—112no—
1501C2×#41—112no—
1502C2×#41—114no—
1503C2×#41—112no—
1504C2×#41—114no—
1505C2×#41—444no—
1506C2×#41—444no—
1507C2×#41—448no—
1508C2×#41—448no—
1509C2×#41C22×D1112yes—
1510C22×Q8—111no—
1511C22×Q8—112no—
1512C22×Q8—111no—
1513C22×Q8C22×D1111yescharacteristic
1514C22×Q8C22×D1112yes—
1515C22×D4—112no—
1516C22×D4—112no—
1517C22×D4—114no—
1518C22×D4—112no—
1519C22×D4—112no—
1520C22×D4—111no—
1521C22×D4—114no—
1522C22×D4—114no—
1523C22×D4—114no—
1524C22×D4—112no—
1525C22×D4—112no—
1526C22×D4—111no—
1527C22×D4—114no—
1528C22×D4—112no—
1529C22×D4C22×D1111yescharacteristic
1530C23×C4—112no—
1531C23×C4—112no—
1532C23×C4—111no—
1533C23×C4—112no—
1534C23×C4—114no—
1535C23×C4—114no—
1536C23×C4—111no—
1537C23×C4—111no—
1538C4⋊Q8—112no—
1539C4⋊Q8—112no—
1540C4⋊Q8—112no—
1541C4⋊Q8—112no—
1542C4⋊Q8—112no—
1543C4⋊Q8—114no—
1544C4⋊Q8—114no—
1545C4⋊Q8—111no—
1546C4⋊Q8C22×D1111yescharacteristic
1547C4⋊Q8C22×D1111yescharacteristic
1548C4⋊Q8C22×D1112yes—
1549C4⋊Q8C22×D1114yes—
1550#127—112no—
1551#127—112no—
1552#127—112no—
1553#127—112no—
1554#127—112no—
1555#127—114no—
1556#127—114no—
1557#127—111no—
1558#127—112no—
1559#127—114no—
1560#126—112no—
1561#126—112no—
1562#126—112no—
1563#126—114no—
1564#126—114no—
1565#126—114no—
1566#126—114no—
1567#126—114no—
1568#126—114no—
1569#126—114no—
1570#126—112no—
1571#126—112no—
1572#126—112no—
1573#126—114no—
1574#126—114no—
1575#126—114no—
1576#126—112no—
1577#126—114no—
1578#126—114no—
1579#126—114no—
1580#126C22×D1112yes—
1581#126C22×D1114yes—
1582#126C22×D1114yes—
1583#126C22×D1114yes—
1584#125—111no—
1585#125—111no—
1586#125—112no—
1587#125—112no—
1588#125—112no—
1589#125—112no—
1590#125—114no—
1591#125—114no—
1592#125—114no—
1593#125—114no—
1594#125—114no—
1595#125—114no—
1596#125—111no—
1597#125—114no—
1598#125C22×D1111yescharacteristic
1599#125C22×D1112yes—
1600#124—111no—
1601#124—112no—
1602#124—112no—
1603#124—114no—
1604#124—114no—
1605#124—112no—
1606#124—112no—
1607#124—114no—
1608#124—114no—
1609#124—111no—
1610#124—112no—
1611#124—112no—
1612#124—114no—
1613#124—114no—
1614#124—114no—
1615#124—114no—
1616#124—114no—
1617#124—114no—
1618#124—111no—
1619#124—112no—
1620#124—112no—
1621#124—112no—
1622#124—112no—
1623#124—112no—
1624#124—112no—
1625#124—114no—
1626#124C22×D1111yescharacteristic
1627#124C22×D1112yes—
1628#124C22×D1112yes—
1629#124C22×D1112yes—
1630#124C22×D1112yes—
1631#124C22×D1114yes—
1632#124C22×D1112yes—
1633#124C22×D1114yes—
1634#123—112no—
1635#123—114no—
1636#123—112no—
1637#123—114no—
1638#123—114no—
1639#123—114no—
1640#123—114no—
1641#123—112no—
1642#123—112no—
1643#123—114no—
1644#123—114no—
1645#123—114no—
1646#123—114no—
1647#123—114no—
1648#123—114no—
1649#123—114no—
1650#123—114no—
1651#123—114no—
1652#123—114no—
1653#123—114no—
1654#123—114no—
1655#123—114no—
1656#123—114no—
1657#123—114no—
1658#123—114no—
1659#123—112no—
1660#123—112no—
1661#123—112no—
1662#123—114no—
1663#123—114no—
1664#123—114no—
1665#123—114no—
1666#123—114no—
1667#123—114no—
1668#123—114no—
1669#123—114no—
1670#123—114no—
1671#123—114no—
1672#123—114no—
1673#123—114no—
1674#123—114no—
1675#123—114no—
1676#123C22×D1112yes—
1677#123C22×D1114yes—
1678#123C22×D1114yes—
1679#123C22×D1114yes—
1680#123C22×D1114yes—
1681C22⋊Q8—111no—
1682C22⋊Q8—112no—
1683C22⋊Q8—112no—
1684C22⋊Q8—114no—
1685C22⋊Q8—114no—
1686C22⋊Q8—114no—
1687C22⋊Q8—114no—
1688C22⋊Q8—114no—
1689C22⋊Q8—112no—
1690C22⋊Q8—114no—
1691C22⋊Q8—111no—
1692C22⋊Q8—114no—
1693C22⋊Q8—112no—
1694C22⋊Q8—112no—
1695C22⋊Q8—111no—
1696C22⋊Q8—112no—
1697C22⋊Q8—112no—
1698C22⋊Q8—114no—
1699C22⋊Q8—114no—
1700C22⋊Q8—114no—
1701C22⋊Q8—114no—
1702C22⋊Q8—114no—
1703C22⋊Q8—114no—
1704C22⋊Q8—112no—
1705C22⋊Q8—114no—
1706C22⋊Q8—114no—
1707C22⋊Q8—114no—
1708C22⋊Q8—114no—
1709C22⋊Q8—112no—
1710C22⋊Q8—114no—
1711C22⋊Q8—114no—
1712C22⋊Q8—114no—
1713C22⋊Q8C22×D1111yescharacteristic
1714C22⋊Q8C22×D1112yes—
1715C22⋊Q8C22×D1112yes—
1716C22⋊Q8C22×D1114yes—
1717C22⋊Q8C22×D1114yes—
1718C22⋊Q8C22×D1114yes—
1719C22⋊Q8C22×D1114yes—
1720C22⋊Q8C22×D1112yes—
1721C22⋊Q8C22×D1114yes—
1722C22⋊Q8C22×D1114yes—
1723C22⋊Q8C22×D1114yes—
1724#121—112no—
1725#121—111no—
1726#121—114no—
1727#121—114no—
1728#121—114no—
1729#121—112no—
1730#121—114no—
1731#121—114no—
1732#121—114no—
1733#121—114no—
1734#121—111no—
1735#121—112no—
1736#121—112no—
1737#121—114no—
1738#121—114no—
1739#121—114no—
1740#121—114no—
1741#121—114no—
1742#121—112no—
1743#121—114no—
1744#121—114no—
1745#121—114no—
1746#121—111no—
1747#121—112no—
1748#121—112no—
1749#121—112no—
1750#121—112no—
1751#121—114no—
1752#121—114no—
1753#121—114no—
1754#121—114no—
1755#121—114no—
1756#121—112no—
1757#121—114no—
1758#121—114no—
1759#121—114no—
1760#121—114no—
1761#121—114no—
1762#121—114no—
1763#121—112no—
1764#121—114no—
1765#121—114no—
1766#121—114no—
1767#121—114no—
1768#121—114no—
1769#121—114no—
1770#121—114no—
1771#121—114no—
1772#121—114no—
1773#121—114no—
1774#121—114no—
1775#121—114no—
1776#121—114no—
1777#121—114no—
1778#121—114no—
1779#121—114no—
1780#121—114no—
1781#121—114no—
1782#121—114no—
1783#121—114no—
1784#121—114no—
1785#121—114no—
1786#121—114no—
1787#121C22×D1111yescharacteristic
1788#121C22×D1114yes—
1789#121C22×D1112yes—
1790#121C22×D1114yes—
1791#120—114no—
1792#120—114no—
1793#120—114no—
1794#120—114no—
1795#120—114no—
1796#120—114no—
1797#120—114no—
1798#120—114no—
1799#120—114no—
1800#120—114no—
1801#120—114no—
1802#120—114no—
1803#120—114no—
1804#120—114no—
1805#120—114no—
1806#120—114no—
1807#120—114no—
1808#120—114no—
1809#120—114no—
1810#120—114no—
1811#120—114no—
1812#120—114no—
1813#120C22×D1114yes—
1814C4×Q8—111no—
1815C4×Q8—112no—
1816C4×Q8—112no—
1817C4×Q8—112no—
1818C4×Q8—112no—
1819C4×Q8—111no—
1820C4×Q8—112no—
1821C4×Q8—112no—
1822C4×Q8—112no—
1823C4×Q8—114no—
1824C4×Q8—112no—
1825C4×Q8—111no—
1826C4×Q8—112no—
1827C4×Q8C22×D1111yescharacteristic
1828C4×Q8C22×D1112yes—
1829C4×Q8C22×D1112yes—
1830C4×Q8C22×D1112yes—
1831C4×D4—112no—
1832C4×D4—111no—
1833C4×D4—114no—
1834C4×D4—112no—
1835C4×D4—112no—
1836C4×D4—112no—
1837C4×D4—112no—
1838C4×D4—114no—
1839C4×D4—114no—
1840C4×D4—114no—
1841C4×D4—114no—
1842C4×D4—114no—
1843C4×D4—111no—
1844C4×D4—114no—
1845C4×D4—112no—
1846C4×D4—114no—
1847C4×D4—112no—
1848C4×D4—112no—
1849C4×D4—114no—
1850C4×D4—114no—
1851C4×D4—114no—
1852C4×D4—112no—
1853C4×D4—112no—
1854C4×D4—114no—
1855C4×D4—114no—
1856C4×D4—112no—
1857C4×D4—112no—
1858C4×D4—112no—
1859C4×D4—114no—
1860C4×D4—114no—
1861C4×D4—114no—
1862C4×D4—114no—
1863C4×D4—114no—
1864C4×D4—114no—
1865C4×D4—114no—
1866C4×D4—114no—
1867C4×D4—112no—
1868C4×D4—114no—
1869C4×D4—114no—
1870C4×D4—114no—
1871C4×D4—114no—
1872C4×D4—114no—
1873C4×D4—114no—
1874C4×D4—114no—
1875C4×D4—114no—
1876C4×D4—114no—
1877C4×D4—114no—
1878C4×D4—114no—
1879C4×D4—114no—
1880C4×D4—114no—
1881C4×D4—111no—
1882C4×D4—112no—
1883C4×D4—114no—
1884C4×D4—114no—
1885C4×D4—114no—
1886C4×D4—114no—
1887C4×D4—112no—
1888C4×D4—112no—
1889C4×D4—114no—
1890C4×D4—112no—
1891C4×D4C22×D1112yes—
1892C4×D4C22×D1111yescharacteristic
1893C4×D4C22×D1114yes—
1894C4×D4C22×D1114yes—
1895C4×D4C22×D1112yes—
1896#117—112no—
1897#117—112no—
1898#117—112no—
1899#117—112no—
1900#117—114no—
1901#117—114no—
1902#117—112no—
1903#117—114no—
1904#117—112no—
1905#117—112no—
1906#117—114no—
1907#117—112no—
1908#117—112no—
1909#117—114no—
1910#117—114no—
1911#117—114no—
1912#117C22×D1112yes—
1913#117C22×D1112yes—
1914#117C22×D1114yes—
1915C2×C4⋊C4—112no—
1916C2×C4⋊C4—112no—
1917C2×C4⋊C4—114no—
1918C2×C4⋊C4—112no—
1919C2×C4⋊C4—112no—
1920C2×C4⋊C4—111no—
1921C2×C4⋊C4—112no—
1922C2×C4⋊C4—114no—
1923C2×C4⋊C4—114no—
1924C2×C4⋊C4—111no—
1925C2×C4⋊C4—112no—
1926C2×C22⋊C4—112no—
1927C2×C22⋊C4—112no—
1928C2×C22⋊C4—114no—
1929C2×C22⋊C4—112no—
1930C2×C22⋊C4—112no—
1931C2×C22⋊C4—112no—
1932C2×C22⋊C4—112no—
1933C2×C22⋊C4—112no—
1934C2×C22⋊C4—114no—
1935C2×C22⋊C4—114no—
1936C2×C22⋊C4—114no—
1937C2×C22⋊C4—114no—
1938C2×C22⋊C4C22×D1112yes—
1939C2×C22⋊C4C22×D1112yes—
1940C2×C22⋊C4C22×D1114yes—
1941C2×C42—111no—
1942C2×C42—111no—
1943C2×C42—114no—
1944C2×C42—111no—
1945C2×C42—111no—
1946C2×C42—112no—
1947C2×C42—111no—
1948C2×C42—114no—
1949C2×C42—114no—
1950C2×C42—111no—
1951C2×C42—111no—
1952C2×C42—111no—
1953C2×C42—111no—
1954C2×C42—111no—
1955C2×C42—111no—
1956C2×C42C22×D1111yescharacteristic
1957C2×C11—22no—
1958C2×C11—42no—
1959C2×C11—44no—
1960C2×C11C22×H(5,𝔽2)11yescharacteristic
1961C2×C11C2×#58511yescharacteristic
1962C2×C11C2×#58511yescharacteristic
1963D11—22no—
1964D11—41no—
1965D11—44no—
1966D11—44no—
1967D11—42no—
1968C24—111no—
1969C24—112no—
1970C24—112no—
1971C24—114no—
1972C24—114no—
1973C24C23×D1112yes—
1974#41—44no—
1975#41—228no—
1976#41—228no—
1977#41—228no—
1978#41—444no—
1979#41—444no—
1980#41—448no—
1981#41—448no—
1982#41—444no—
1983#41—448no—
1984#41—448no—
1985#41—444no—
1986#41—444no—
1987#41—444no—
1988#41—444no—
1989#41—444no—
1990#41—448no—
1991#41—444no—
1992#41—444no—
1993#41—444no—
1994C2×Q8—42no—
1995C2×Q8—44no—
1996C2×Q8—112no—
1997C2×Q8—112no—
1998C2×Q8—111no—
1999C2×Q8—112no—
2000C2×Q8—114no—
2001C2×Q8—112no—
2002C2×Q8—442no—
2003C2×Q8—444no—
2004C2×Q8—442no—
2005C2×Q8C23×D1112yes—
2006C2×Q8C23×D1112yes—
2007C2×Q8C23×D1112yes—
2008C2×Q8C23×D1111yescharacteristic
2009C2×Q8C23×D1114yes—
2010C2×Q8C23×D1112yes—
2011C2×D4—42no—
2012C2×D4—114no—
2013C2×D4—112no—
2014C2×D4—112no—
2015C2×D4—114no—
2016C2×D4—114no—
2017C2×D4—114no—
2018C2×D4—114no—
2019C2×D4—114no—
2020C2×D4—114no—
2021C2×D4—114no—
2022C2×D4—114no—
2023C2×D4—114no—
2024C2×D4—112no—
2025C2×D4—114no—
2026C2×D4—114no—
2027C2×D4—114no—
2028C2×D4—114no—
2029C2×D4—114no—
2030C2×D4—112no—
2031C2×D4—112no—
2032C2×D4—111no—
2033C2×D4—114no—
2034C2×D4—112no—
2035C2×D4—112no—
2036C2×D4—114no—
2037C2×D4—114no—
2038C2×D4—112no—
2039C2×D4—114no—
2040C2×D4—114no—
2041C2×D4—114no—
2042C2×D4—114no—
2043C2×D4—112no—
2044C2×D4—114no—
2045C2×D4—442no—
2046C2×D4—444no—
2047C2×D4—444no—
2048C2×D4—448no—
2049C2×D4—444no—
2050C2×D4—442no—
2051C2×D4—448no—
2052C2×D4—444no—
2053C2×D4—444no—
2054C2×D4—444no—
2055C2×D4—448no—
2056C2×D4—448no—
2057C2×D4—448no—
2058C2×D4—444no—
2059C2×D4C23×D1112yes—
2060C2×D4C23×D1112yes—
2061C2×D4C23×D1111yescharacteristic
2062C2×D4C23×D1114yes—
2063C2×D4C23×D1114yes—
2064C2×D4C23×D1112yes—
2065C22×C4—111no—
2066C22×C4—111no—
2067C22×C4—111no—
2068C22×C4—111no—
2069C22×C4—114no—
2070C22×C4—112no—
2071C22×C4—114no—
2072C22×C4—112no—
2073C22×C4—114no—
2074C22×C4—111no—
2075C22×C4—111no—
2076C22×C4—111no—
2077C22×C4—111no—
2078C22×C4—111no—
2079C22×C4—114no—
2080C22×C4—114no—
2081C22×C4—114no—
2082C22×C4—112no—
2083C22×C4—112no—
2084C22×C4—112no—
2085C22×C4—111no—
2086C22×C4—111no—
2087C22×C4—111no—
2088C22×C4—111no—
2089C22×C4—111no—
2090C22×C4—111no—
2091C22×C4—112no—
2092C22×C4—114no—
2093C22×C4—114no—
2094C22×C4—112no—
2095C22×C4—114no—
2096C22×C4—114no—
2097C22×C4—114no—
2098C22×C4—114no—
2099C22×C4—114no—
2100C22×C4—114no—
2101C22×C4—224no—
2102C22×C4—228no—
2103C22×C4—442no—
2104C22×C4—444no—
2105C22×C4—448no—
2106C22×C4—448no—
2107C22×C4—442no—
2108C22×C4—444no—
2109C22×C4C23×D1111yescharacteristic
2110C22×C4C23×D1111yescharacteristic
2111C22×C4C23×D1112yes—
2112C22×C4C23×D1111yescharacteristic
2113C22×C4C23×D1114yes—
2114C22×C4C23×D1112yes—
2115C22×C4C23×D1114yes—
2116C22×C4C23×D1114yes—
2117C4⋊C4—112no—
2118C4⋊C4—112no—
2119C4⋊C4—112no—
2120C4⋊C4—114no—
2121C4⋊C4—114no—
2122C4⋊C4—112no—
2123C4⋊C4—112no—
2124C4⋊C4—112no—
2125C4⋊C4—112no—
2126C4⋊C4—112no—
2127C4⋊C4—112no—
2128C4⋊C4—112no—
2129C4⋊C4—112no—
2130C4⋊C4—114no—
2131C4⋊C4—114no—
2132C4⋊C4—114no—
2133C4⋊C4—114no—
2134C4⋊C4—112no—
2135C4⋊C4—114no—
2136C4⋊C4—114no—
2137C4⋊C4—114no—
2138C4⋊C4—111no—
2139C4⋊C4—112no—
2140C4⋊C4—112no—
2141C4⋊C4—111no—
2142C4⋊C4—112no—
2143C4⋊C4—114no—
2144C4⋊C4—114no—
2145C4⋊C4—114no—
2146C4⋊C4—114no—
2147C4⋊C4—114no—
2148C4⋊C4—114no—
2149C4⋊C4—114no—
2150C4⋊C4—112no—
2151C4⋊C4C23×D1112yes—
2152C4⋊C4C23×D1112yes—
2153C4⋊C4C23×D1112yes—
2154C4⋊C4C23×D1112yes—
2155C4⋊C4C23×D1114yes—
2156C4⋊C4C23×D1114yes—
2157C4⋊C4C23×D1111yescharacteristic
2158C4⋊C4C23×D1111yescharacteristic
2159C4⋊C4C23×D1112yes—
2160C4⋊C4C23×D1114yes—
2161C4⋊C4C23×D1114yes—
2162C4⋊C4C23×D1114yes—
2163C4⋊C4C23×D1112yes—
2164C4⋊C4C23×D1112yes—
2165C4⋊C4C23×D1114yes—
2166C4⋊C4C23×D1112yes—
2167C22⋊C4—112no—
2168C22⋊C4—112no—
2169C22⋊C4—112no—
2170C22⋊C4—112no—
2171C22⋊C4—112no—
2172C22⋊C4—114no—
2173C22⋊C4—114no—
2174C22⋊C4—114no—
2175C22⋊C4—112no—
2176C22⋊C4—112no—
2177C22⋊C4—114no—
2178C22⋊C4—114no—
2179C22⋊C4—112no—
2180C22⋊C4—112no—
2181C22⋊C4—112no—
2182C22⋊C4—112no—
2183C22⋊C4—112no—
2184C22⋊C4—114no—
2185C22⋊C4—114no—
2186C22⋊C4—112no—
2187C22⋊C4—114no—
2188C22⋊C4—114no—
2189C22⋊C4—114no—
2190C22⋊C4—114no—
2191C22⋊C4—114no—
2192C22⋊C4—114no—
2193C22⋊C4—114no—
2194C22⋊C4—114no—
2195C22⋊C4—112no—
2196C22⋊C4—112no—
2197C22⋊C4—114no—
2198C22⋊C4—114no—
2199C22⋊C4—114no—
2200C22⋊C4—114no—
2201C22⋊C4—114no—
2202C22⋊C4—114no—
2203C22⋊C4—114no—
2204C22⋊C4—114no—
2205C22⋊C4—114no—
2206C22⋊C4—114no—
2207C22⋊C4—114no—
2208C22⋊C4—114no—
2209C22⋊C4C23×D1112yes—
2210C22⋊C4C23×D1112yes—
2211C22⋊C4C23×D1114yes—
2212C22⋊C4C23×D1114yes—
2213C22⋊C4C23×D1112yes—
2214C22⋊C4C23×D1112yes—
2215C22⋊C4C23×D1114yes—
2216C22⋊C4C23×D1112yes—
2217C22⋊C4C23×D1114yes—
2218C22⋊C4C23×D1114yes—
2219C22⋊C4C23×D1114yes—
2220C22⋊C4C23×D1114yes—
2221C22⋊C4C23×D1114yes—
2222C22⋊C4C23×D1114yes—
2223C22⋊C4C23×D1114yes—
2224C42—111no—
2225C42—112no—
2226C42—114no—
2227C42—112no—
2228C42—111no—
2229C42—111no—
2230C42—111no—
2231C42—111no—
2232C42—111no—
2233C42—111no—
2234C42—111no—
2235C42—111no—
2236C42—111no—
2237C42—111no—
2238C42—111no—
2239C42—114no—
2240C42—112no—
2241C42—114no—
2242C42—114no—
2243C42—114no—
2244C42C23×D1111yescharacteristic
2245C42C23×D1111yescharacteristic
2246C42C23×D1111yescharacteristic
2247C42C23×D1111yescharacteristic
2248C42C23×D1114yes—
2249C42C23×D1112yes—
2250C42C23×D1114yes—
2251C11#6274811yescharacteristic, complemented, Sylow
2252C23—24no—
2253C23—42no—
2254C23—42no—
2255C23—111no—
2256C23—112no—
2257C23—114no—
2258C23—114no—
2259C23—111no—
2260C23—222no—
2261C23—224no—
2262C23—222no—
2263C23—224no—
2264C23—441no—
2265C23—442no—
2266C23—444no—
2267C23—444no—
2268C23—442no—
2269C23—444no—
2270C23—442no—
2271C23—444no—
2272C23—444no—
2273C23—442no—
2274C23—444no—
2275C23C24×D1112yes—
2276C23C24×D1114yes—
2277C23C24×D1111yescharacteristic
2278Q8—24no—
2279Q8—24no—
2280Q8—44no—
2281Q8—42no—
2282Q8—41no—
2283Q8—42no—
2284Q8—224no—
2285Q8—224no—
2286Q8—442no—
2287Q8—444no—
2288Q8—441no—
2289Q8—442no—
2290D4—24no—
2291D4—24no—
2292D4—42no—
2293D4—44no—
2294D4—41no—
2295D4—44no—
2296D4—228no—
2297D4—228no—
2298D4—224no—
2299D4—228no—
2300D4—228no—
2301D4—224no—
2302D4—228no—
2303D4—224no—
2304D4—224no—
2305D4—444no—
2306D4—442no—
2307D4—444no—
2308D4—444no—
2309D4—444no—
2310D4—444no—
2311D4—441no—
2312D4—442no—
2313D4—444no—
2314D4—444no—
2315D4—444no—
2316D4—442no—
2317D4—442no—
2318D4—444no—
2319D4—444no—
2320D4—444no—
2321D4—444no—
2322D4—444no—
2323D4—444no—
2324D4—444no—
2325D4—442no—
2326D4—444no—
2327D4—444no—
2328D4—444no—
2329C2×C4—22no—
2330C2×C4—22no—
2331C2×C4—24no—
2332C2×C4—41no—
2333C2×C4—44no—
2334C2×C4—42no—
2335C2×C4—44no—
2336C2×C4—44no—
2337C2×C4—111no—
2338C2×C4—111no—
2339C2×C4—114no—
2340C2×C4—112no—
2341C2×C4—114no—
2342C2×C4—111no—
2343C2×C4—111no—
2344C2×C4—111no—
2345C2×C4—112no—
2346C2×C4—111no—
2347C2×C4—114no—
2348C2×C4—112no—
2349C2×C4—224no—
2350C2×C4—222no—
2351C2×C4—228no—
2352C2×C4—228no—
2353C2×C4—222no—
2354C2×C4—222no—
2355C2×C4—228no—
2356C2×C4—224no—
2357C2×C4—222no—
2358C2×C4—222no—
2359C2×C4—224no—
2360C2×C4—228no—
2361C2×C4—222no—
2362C2×C4—222no—
2363C2×C4—224no—
2364C2×C4—222no—
2365C2×C4—444no—
2366C2×C4—444no—
2367C2×C4—444no—
2368C2×C4—444no—
2369C2×C4—444no—
2370C2×C4—441no—
2371C2×C4—441no—
2372C2×C4—441no—
2373C2×C4—441no—
2374C2×C4—441no—
2375C2×C4—441no—
2376C2×C4—442no—
2377C2×C4—444no—
2378C2×C4—442no—
2379C2×C4—444no—
2380C2×C4—444no—
2381C2×C4—442no—
2382C2×C4—444no—
2383C2×C4—444no—
2384C2×C4C24×D1112yes—
2385C2×C4C24×D1111yescharacteristic
2386C2×C4C24×D1111yescharacteristic
2387C2×C4C24×D1111yescharacteristic
2388C2×C4C24×D1111yescharacteristic
2389C2×C4C24×D1114yes—
2390C2×C4C24×D1111yescharacteristic
2391C2×C4C24×D1112yes—
2392C2×C4C24×D1114yes—
2393C2×C4C24×D1114yes—
2394C2×C4C24×D1112yes—
2395C2×C4C24×D1111yescharacteristic
2396C22—21no—
2397C22—21no—
2398C22—22no—
2399C22—24no—
2400C22—24no—
2401C22—22no—
2402C22—24no—
2403C22—22no—
2404C22—84no—
2405C22—112no—
2406C22—221no—
2407C22—221no—
2408C22—222no—
2409C22—221no—
2410C22—224no—
2411C22—224no—
2412C22—221no—
2413C22—224no—
2414C22—224no—
2415C22—222no—
2416C22—221no—
2417C22—224no—
2418C22—224no—
2419C22—222no—
2420C22—444no—
2421C22—884no—
2422C22—884no—
2423C22—888no—
2424C22—888no—
2425C22#1062345712yes—
2426C22C25×D1111yescharacteristic
2427C4—22no—
2428C4—21no—
2429C4—24no—
2430C4—24no—
2431C4—22no—
2432C4—24no—
2433C4—21no—
2434C4—21no—
2435C4—21no—
2436C4—21no—
2437C4—22no—
2438C4—112no—
2439C4—112no—
2440C4—221no—
2441C4—222no—
2442C4—224no—
2443C4—221no—
2444C4—222no—
2445C4—221no—
2446C4—221no—
2447C4—222no—
2448C4—224no—
2449C4D11×H(5,𝔽2)12yes—
2450C2—22no—
2451C2—44no—
2452C2—42no—
2453C2—222no—
2454C2—441no—
2455C2—442no—
2456C2—444no—
2457C2—444no—
2458C2C2×D11×H(5,𝔽2)11yescharacteristic
2459C2D11×#58511yescharacteristic
2460C2C2×#1062345711yescharacteristic
subgroupG/H
center, FrattiniC22C25×D11
commutator, socle, cosocleC22×C11C26
FittingC11×#3561C2
hypercenter#3561D11
hypocenterC11#62748
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #3561

Complements

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

NH ≅ G/Ntype
1. #13083211C2semidirect
2. #13083207C2semidirect
3. #13083181C2semidirect
4. #13083171C2semidirect
5. #13083153C2semidirect
6. #13083138C2semidirect
7. #13083135C2semidirect
8. #13083132C2semidirect
9. #13083076C2semidirect
10. #13083059C2semidirect
11. #13082985C2semidirect
12. #13082948C2semidirect
13. #13082848C2semidirect
14. #13082842C2semidirect
15. #13082809C2semidirect
16. #13082757C2semidirect
17. #13082753C2semidirect
18. #13082219C2semidirect
19. #13082208C2semidirect
20. D4×#4343C2semidirect
21. #13082105C2semidirect
22. #13082100C2semidirect
23. #13082036C2semidirect
24. #13082028C2semidirect
25. #13082027C2semidirect
26. #13082003C2semidirect
27. #13081948C2semidirect
28. #13081913C2semidirect
29. C2×#10623199C2semidirect
30. D11×#529C2semidirect
31. C11×#3561C2semidirect
32. C2×#41×D11C22semidirect
33. C22×#4343C22semidirect
34. C22×#4343C22semidirect
35. C22×#4341C22semidirect
36. C11×#563C22semidirect
37. C11×#562C22semidirect
38. C11×#556C22semidirect
39. C11×#551C22semidirect
40. D4×Q8×C11C22semidirect
41. C11×#548C22semidirect
42. C11×#546C22semidirect
43. C11×#543C22semidirect
44. C11×#542C22semidirect
45. C11×#542C22semidirect
46. C11×#538C22semidirect
47. C11×#536C22semidirect
48. C11×#533C22semidirect
49. C11×#529C22semidirect
50. C2×C11×#124C22semidirect
51. #10623365C22semidirect
52. #10623361C22semidirect
53. #10623355C22semidirect
54. #10623348C22semidirect
55. #10623348C22semidirect
56. #10623347C22semidirect
57. Q8×C22⋊D11C22semidirect
58. C2×#66997C22semidirect
59. C2×#66993C22semidirect
60. D4×C22⋊D11C22semidirect
61. #10623266C22semidirect
62. #10623264C22semidirect
63. #10623260C22semidirect
64. #10623259C22semidirect
65. #10623259C22semidirect
66. #10623257C22semidirect
67. #10623257C22semidirect
68. #10623256C22semidirect
69. #10623256C22semidirect
70. #10623256C22semidirect
71. #10623256C22semidirect
72. #10623255C22semidirect
73. #10623255C22semidirect
74. #10623252C22semidirect
75. #10623242C22semidirect
76. #10623242C22semidirect
77. #10623240C22semidirect
78. #10623240C22semidirect
79. #10623240C22semidirect
80. #10623240C22semidirect
81. #10623238C22semidirect
82. #10623238C22semidirect
83. #10623237C22semidirect
84. #10623237C22semidirect
85. #10623237C22semidirect
86. #10623237C22semidirect
87. #10623235C22semidirect
88. #10623235C22semidirect
89. D11×#126C22semidirect
90. #10623231C22semidirect
91. #10623231C22semidirect
92. #10623230C22semidirect
93. #10623222C22semidirect
94. #10623222C22semidirect
95. #10623222C22semidirect
96. D11×#125C22semidirect
97. #10623215C22semidirect
98. #10623214C22semidirect
99. #10623214C22semidirect
100. #10623213C22semidirect
101. #10623212C22semidirect
102. #10623212C22semidirect
103. #10623211C22semidirect
104. #10623211C22semidirect
105. #10623210C22semidirect
106. #10623209C22semidirect
107. #10623209C22semidirect
108. #10623209C22semidirect
109. #10623209C22semidirect
110. #10623208C22semidirect
111. #10623207C22semidirect
112. #10623207C22semidirect
113. #10623205C22semidirect
114. #10623205C22semidirect
115. #10623205C22semidirect
116. D11×#124C22semidirect
117. #10623199C22semidirect
118. #10623199C22semidirect
119. #10623199C22semidirect
120. #10623199C22semidirect
121. #10623199C22semidirect
122. #10623199C22semidirect
123. #10623199C22semidirect
124. #10623199C22semidirect
125. #10623199C22semidirect
126. #10623199C22semidirect
127. #10623198C22semidirect
128. #10623197C22semidirect
129. #10623197C22semidirect
130. #10623195C22semidirect
131. #10623194C22semidirect
132. #10623194C22semidirect
133. #10623191C22semidirect
134. #10623188C22semidirect
135. #10623187C22semidirect
136. #10623187C22semidirect
137. #10623187C22semidirect
138. #10623186C22semidirect
139. #10623185C22semidirect
140. #10623185C22semidirect
141. #10623184C22semidirect
142. #10623184C22semidirect
143. D11×#123C22semidirect
144. #10623180C22semidirect
145. #10623180C22semidirect
146. #10623178C22semidirect
147. #10623178C22semidirect
148. #10623178C22semidirect
149. #10623177C22semidirect
150. #10623176C22semidirect
151. #10623176C22semidirect
152. #10623176C22semidirect
153. #10623175C22semidirect
154. #10623175C22semidirect
155. #10623175C22semidirect
156. #10623175C22semidirect
157. #10623171C22semidirect
158. #10623171C22semidirect
159. #10623169C22semidirect
160. #10623167C22semidirect
161. #10623167C22semidirect
162. #10623165C22semidirect
163. #10623164C22semidirect
164. #10623163C22semidirect
165. #10623162C22semidirect
166. #10623162C22semidirect
167. #10623161C22semidirect
168. #10623161C22semidirect
169. #10623161C22semidirect
170. #10623161C22semidirect
171. #10623160C22semidirect
172. #10623160C22semidirect
173. #10623160C22semidirect
174. #10623158C22semidirect
175. #10623158C22semidirect
176. #10623158C22semidirect
177. #10623158C22semidirect
178. #10623158C22semidirect
179. #10623158C22semidirect
180. #10623158C22semidirect
181. #10623158C22semidirect
182. D11×C22⋊Q8C22semidirect
183. #10623156C22semidirect
184. #10623155C22semidirect
185. #10623155C22semidirect
186. #10623155C22semidirect
187. #10623155C22semidirect
188. #10623155C22semidirect
189. #10623151C22semidirect
190. #10623151C22semidirect
191. #10623150C22semidirect
192. #10623144C22semidirect
193. #10623141C22semidirect
194. #10623140C22semidirect
195. #10623140C22semidirect
196. #10623138C22semidirect
197. #10623137C22semidirect
198. #10623137C22semidirect
199. #10623136C22semidirect
201. #10623131C22semidirect
202. #10623130C22semidirect
203. #10623127C22semidirect
204. #10623121C22semidirect
205. #10623121C22semidirect
206. #10623120C22semidirect
207. #10623117C22semidirect
208. #10623116C22semidirect
209. #10623114C22semidirect
210. #10623113C22semidirect
211. #10623111C22semidirect
212. #10623111C22semidirect
213. #10623111C22semidirect
214. #10623108C22semidirect
215. #10623107C22semidirect
216. C4×#4343C22semidirect
217. C4×#4343C22semidirect
218. C4×#4343C22semidirect
219. C4×Q8×D11C22semidirect
220. #10623099C22semidirect
221. #10623099C22semidirect
222. #10623095C22semidirect
223. #10623093C22semidirect
224. #10623093C22semidirect
225. #10623088C22semidirect
226. #10623085C22semidirect
227. #10623084C22semidirect
228. #10623083C22semidirect
229. #10623081C22semidirect
230. #10623081C22semidirect
231. D4×D44C22semidirect
232. D4×D44C22semidirect
233. C4×D4×D11C22semidirect
234. C4×D4×D11C22semidirect
235. C4×D4×D11C22semidirect
236. C4×D4×D11C22semidirect
237. #10623071C22semidirect
238. #10623071C22semidirect
239. #10623069C22semidirect
240. C4×#4341C22semidirect
241. #10623066C22semidirect
242. #10623065C22semidirect
243. #10623061C22semidirect
244. #10623059C22semidirect
245. #10623058C22semidirect
246. #10623058C22semidirect
247. #10623056C22semidirect
248. #10623055C22semidirect
249. #10623053C22semidirect
250. #10623053C22semidirect
251. D11×#117C22semidirect
252. #10623025C22semidirect
253. #10623024C22semidirect
254. #10623024C22semidirect
255. #10623021C22semidirect
256. #10623021C22semidirect
257. #10623021C22semidirect
258. C2×#66937C22semidirect
259. C2×#66937C22semidirect
260. C2×(C22⋊D11)⋊C4C22semidirect
261. C2×(C22⋊D11)⋊C4C22semidirect
262. C2×(C22⋊D11)⋊C4C22semidirect
263. #10623010C22semidirect
264. #10623008C22semidirect
265. C2×#66928C22semidirect
266. C2×C42×D11C22semidirect
1025. #3561D11semidirect
1204. #563C2×D11semidirect
1212. #562C2×D11semidirect
1228. #556C2×D11semidirect
1241. #551C2×D11semidirect
1248. D4×Q8C2×D11semidirect
1255. #548C2×D11semidirect
1277. #546C2×D11semidirect
1287. #543C2×D11semidirect
1294. #542C2×D11semidirect
1295. #542C2×D11semidirect
1325. #538C2×D11semidirect
1332. #536C2×D11semidirect
1347. #533C2×D11semidirect
1390. #529C2×D11semidirect
1395. C2×#124C2×D11semidirect
2251. C11#62748semidirect

Maximal subgroups

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

subgroupindex
#130832112
#130832072
#130831812
#130831712
#130831532
#130831382
#130831352
#130831322
#130830762
#130830592
#130829852
#130829482
#130828482
#130828422
#130828092
#130827572
#130827532
#130822192
#130822082
D4×#43432
#130821052
#130821002
#130820362
#130820282
#130820272
#130820032
#130819482
#130819132
C2×#106231992
D11×#5292
C11×#35612
#6274811