Finite Group Databasebeta

← #25987357

Subgroups — #25987357

Order 11008.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149092C211yesmaximal, characteristic, complemented
2#19148420C211yesmaximal, characteristic, complemented
3#19147558C211yesmaximal, characteristic, complemented
4#19147552C211yesmaximal, characteristic, complemented
5#19147547C211yesmaximal, characteristic, complemented
6#19147536C211yesmaximal, characteristic, complemented
7#19147486C211yesmaximal, characteristic, complemented
8#19147472C211yesmaximal, characteristic, complemented
9#19147468C211yesmaximal, characteristic, complemented
10#19147457C211yesmaximal, characteristic, complemented
11#19147434C211yesmaximal, characteristic, complemented
12#19147428C211yesmaximal, characteristic, complemented
13#19147356C211yesmaximal, characteristic, complemented
14#19147342C211yesmaximal, characteristic, complemented
15#19147275C211yesmaximal, characteristic, complemented
16#19147260C211yesmaximal, characteristic, complemented
17#19147241C211yesmaximal, characteristic, complemented
18#19145886C211yesmaximal, characteristic, complemented
19#19145877C211yesmaximal, characteristic, complemented
20#19145870C211yesmaximal, characteristic, complemented
21#19145841C211yesmaximal, characteristic, complemented
22#19145761C211yesmaximal, characteristic, complemented
23#19145758C211yesmaximal, characteristic, complemented
24#19144878C211yesmaximal, characteristic, complemented
25#19144856C211yesmaximal, characteristic, complemented
26#19144815C211yesmaximal, characteristic, complemented
27#19144793C211yesmaximal, characteristic
28#19144612C211yesmaximal, characteristic, complemented
29#19144611C211yesmaximal, characteristic, complemented
30#19143695C211yesmaximal, characteristic, complemented
31C43×#3365C211yesmaximal, characteristic, complemented
32#14583652—21no—
33#14583649—21no—
34#14583635C2211yescharacteristic
35#14583628C2211yescharacteristic
36#14583627C2211yescharacteristic
37#14583625C2211yescharacteristic
38#14583625C2211yescharacteristic
39#14583625C2211yescharacteristic
40#14583618C2211yescharacteristic
41#14583618C2211yescharacteristic
42#14583610—21no—
43#14583610C2211yescharacteristic
44#14583609—21no—
45#14583609C2211yescharacteristic
46#14583608C2211yescharacteristic
47#14583606C2211yescharacteristic
48#14583605—21no—
49#14583605—21no—
50#14583605C2211yescharacteristic
51#14583605C2211yescharacteristic
52#14583589—21no—
53#14583586—21no—
54#14583529—21no—
55#14583529C2211yescharacteristic
56#14583526—21no—
57#14583526C2211yescharacteristic
58#14583518C2211yescharacteristic
59#14583517—21no—
60#14583514C2211yescharacteristic
61#14583513—21no—
62#14583507C2211yescharacteristic
63#14583503C2211yescharacteristic
64#14583493—21no—
65#14583491—21no—
66#14583453—21no—
67#14583453C2211yescharacteristic
68#14583431C2211yescharacteristic
69#14583428C2211yescharacteristic
70#125×D43—21no—
71#125×D43C2211yescharacteristic
72#14583381C2211yescharacteristic
73#14583381C2211yescharacteristic
74C4×#10621902C2211yescharacteristic
75#14583309C2211yescharacteristic
76#14583306C2211yescharacteristic
77#14583306C2211yescharacteristic
78#14583305C2211yescharacteristic
79#14583303C2211yescharacteristic
80#14583301C2211yescharacteristic
81#14583301C2211yescharacteristic
82#14583300C2211yescharacteristic
83#14583299C2211yescharacteristic
84#14583299C2211yescharacteristic
85#14583298C2211yescharacteristic
86#14583297C2211yescharacteristic
87#14583266C2211yescharacteristic
88#14583263C2211yescharacteristic
89#14583258C2211yescharacteristic
90#14583257C2211yescharacteristic
91#14583253C2211yescharacteristic
92#14583252C2211yescharacteristic
93#14583252C2211yescharacteristic
94#14583252C2211yescharacteristic
95#14583248C2211yescharacteristic
96#14583243C2211yescharacteristic
97#14583238C2211yescharacteristic
98#14583236C2211yescharacteristic
99#14583233C2211yescharacteristic
100#14583231C2211yescharacteristic
101#14583228C2211yescharacteristic
102#14583222C2211yescharacteristic
103#14583221C2211yescharacteristic
104#14583216C2211yescharacteristic
105#14583216C2211yescharacteristic
106#14583211C2211yescharacteristic
107#14583211C2211yescharacteristic
108#14583208C2211yescharacteristic
109#14583207C2211yescharacteristic
110#14583207C2211yescharacteristic
111#14583206C2211yescharacteristic
112#14583206C2211yescharacteristic
113#14583206C2211yescharacteristic
114#14583204C2211yescharacteristic
115#14583204C2211yescharacteristic
116#14583204C2211yescharacteristic
117#14583204C2211yescharacteristic
118#14583203C2211yescharacteristic
119#14583203C2211yescharacteristic
120#14583202C2211yescharacteristic
121#14583201C2211yescharacteristic
122#14583201C2211yescharacteristic
123#14583201C2211yescharacteristic
124#14583200C2211yescharacteristic
125#14583200C2211yescharacteristic
126#14583199C2211yescharacteristic
127#14583198C2211yescharacteristic
128#14583197C2211yescharacteristic
129#14583197C2211yescharacteristic
130#14583195C2211yescharacteristic
131#14583194C2211yescharacteristic
132#14583191C2211yescharacteristic
133#14583188C2211yescharacteristic
134#14583187C2211yescharacteristic
135#14583187C2211yescharacteristic
136#14583182C2211yescharacteristic
137#14583182C2211yescharacteristic
138#14583180C2211yescharacteristic
139#14583179C2211yescharacteristic
140#14583177C2211yescharacteristic
141#14583119C2211yescharacteristic
142#14583119C2211yescharacteristic
143#14583113C2211yescharacteristic
144#14583113C2211yescharacteristic
145#14583111C2211yescharacteristic
146#14583111C2211yescharacteristic
147#14583107C2211yescharacteristic
148#14583103C2211yescharacteristic
149#14583091C2211yescharacteristic
150#14583064C2211yescharacteristic
151#14583060C2211yescharacteristic
152#14583043C2211yescharacteristic
153#14583043C2211yescharacteristic
154#14583030C2211yescharacteristic
155#14583029C2211yescharacteristic
156#14583028C2211yescharacteristic
157#14583028C2211yescharacteristic
158C8×Dic86C2211yescharacteristic
159C8×Dic86C2211yescharacteristic
160#14583023C2211yescharacteristic
161#14583009C2211yescharacteristic
162#14583008C2211yescharacteristic
163#14583004C2211yescharacteristic
164#14583004C2211yescharacteristic
165#14583002C2211yescharacteristic
166#14583000C2211yescharacteristic
167#14583000C2211yescharacteristic
168#14582997C2211yescharacteristic
169Q16×Dic43C2211yescharacteristic
170Q16×Dic43C2211yescharacteristic
171C4×#10621885C2211yescharacteristic
172C4×#10621873C2211yescharacteristic
173C4×#10621873C2211yescharacteristic
174C4×#10621873C2211yescharacteristic
175SD16×Dic43C2211yescharacteristic
176SD16×Dic43C2211yescharacteristic
177#14582984C2211yescharacteristic
178C4×#10621882C2211yescharacteristic
179#14582979C2211yescharacteristic
180#14582979C2211yescharacteristic
181#14582979C2211yescharacteristic
182#14582959C2211yescharacteristic
183#14582959C2211yescharacteristic
184#14582958C2211yescharacteristic
185#14582958C2211yescharacteristic
186#14582951C2211yescharacteristic
187#14582950C2211yescharacteristic
188C43×#559C2211yescharacteristic
189C43×#557C2211yescharacteristic
190C43×#488C2211yescharacteristic
191C43×#488C2211yescharacteristic
192C43×#486C2211yescharacteristic
193C43×#478C2211yescharacteristic
194C43×#478C2211yescharacteristic
195C43×#475C2211yescharacteristic
196C43×#464C2211yescharacteristic
197C43×#464C2211yescharacteristic
198C43×#460C2211yescharacteristic
199C8×Q8×C43C2211yescharacteristic
200C4×Q16×C43C2211yescharacteristic
201C4×SD16×C43C2211yescharacteristic
202C4×SD16×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621885C2311yescharacteristic
205C2×#10621873C2311yescharacteristic
206C2×#10621884C2311yescharacteristic
207C2×#10621882C2311yescharacteristic
208C2×#10621882C2311yescharacteristic
209#13063325—21no—
210#13063325C2311yescharacteristic
211#13063325C2311yescharacteristic
212#13063324—21no—
213#13063324—21no—
214#13063324—21no—
215#13063324—21no—
216#13063324D411yescharacteristic
217#13063324C2311yescharacteristic
218#13063324C2311yescharacteristic
219#13063324C2311yescharacteristic
220#13063323—21no—
221#13063323—21no—
222#13063323D411yescharacteristic
223#13063323C2311yescharacteristic
224#13063320—21no—
225#13063319—21no—
226#13063318—21no—
227#13063318—21no—
228#13063318—21no—
229#13063318—21no—
230#13063318—21no—
231#13063318—21no—
232#13063318—21no—
233#13063318—21no—
234#13063317—21no—
235#13063317—21no—
236#13063317—21no—
237#13063317—21no—
238#13063317C2311yescharacteristic
239#13063317C2311yescharacteristic
240#13063317C2311yescharacteristic
241#13063317C2311yescharacteristic
242#13063316—21no—
243#13063316—21no—
244#13063316—21no—
245#13063316—21no—
246#13063316—21no—
247#13063316C2311yescharacteristic
248#13063316C2311yescharacteristic
249#13063316C2311yescharacteristic
250#13063316C2311yescharacteristic
251#13063316C2311yescharacteristic
252#13063316C2311yescharacteristic
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063315—21no—
260#13063315D411yescharacteristic
261#13063315D411yescharacteristic
262#13063312—21no—
263#13063312C2311yescharacteristic
264#13063312C2311yescharacteristic
265#13063311—21no—
266#13063311—21no—
267#13063309—21no—
268#13063308—21no—
269#13063307—21no—
270#13063307—21no—
271#13063306—21no—
272#13063306—21no—
273#13063306—21no—
274#13063306—21no—
275#13063305—21no—
276#13063305—21no—
277#13063305—21no—
278#13063305—21no—
279#13063305D411yescharacteristic
280#13063305C2311yescharacteristic
281#13063304—21no—
282#13063304—21no—
283#13063304—21no—
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303D411yescharacteristic
293#13063303D411yescharacteristic
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063301—21no—
302#13063301—21no—
303#13063301—21no—
304#13063301—21no—
305#13063301D411yescharacteristic
306#13063301C2311yescharacteristic
307#13063297—21no—
308#13063297—21no—
309#13063296C2311yescharacteristic
310#13063296C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323C4×Dic86C2311yescharacteristic
324C4×Dic86C2311yescharacteristic
325C4×Dic86C2311yescharacteristic
326#13063290—21no—
327C4×D172—21no—
328C4×D172—21no—
329C4×D172—21no—
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333D4×Dic43—21no—
334D4×Dic43C2311yescharacteristic
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338#13063287—21no—
339#13063287—21no—
340#13063287—21no—
341#13063287C2311yescharacteristic
342#13063287C2311yescharacteristic
343#13063287C2311yescharacteristic
344C4×C22⋊D43—21no—
345(C22⋊D43)⋊C4—21no—
346#13063284—21no—
347#13063283—21no—
348#13063283C2311yescharacteristic
349#13063282—21no—
350#13063282—21no—
351#13063282C2311yescharacteristic
352#13063282C2311yescharacteristic
353#13063281—21no—
354#13063281—21no—
355#13063281—21no—
356C2×C4⋊Dic43—21no—
357C2×Dic43⋊C4—21no—
358C4⋊C4×D43—21no—
359C4⋊C4×D43—21no—
360C4⋊C4×D43—21no—
361C4⋊C4×D43—21no—
362C4⋊C4×D43—21no—
363C4⋊C4×D43—21no—
364C4⋊C4×D43—21no—
365C4⋊C4×D43—21no—
366C4⋊C4×D43C2311yescharacteristic
367C4⋊C4×D43C2311yescharacteristic
368C42×D43—21no—
369C42×D43C2311yescharacteristic
370#13063259C2311yescharacteristic
371#13063259C2311yescharacteristic
372#13063259C2311yescharacteristic
373#13063259C2311yescharacteristic
374#13063258C2311yescharacteristic
375#13063258C2311yescharacteristic
376#13063258C2311yescharacteristic
377#13063258C2311yescharacteristic
378#13063258C2311yescharacteristic
379#13063258C2311yescharacteristic
380#13063258C2311yescharacteristic
381#13063257C2311yescharacteristic
382#13063257C2311yescharacteristic
383#13063257C2311yescharacteristic
384#13063257C2311yescharacteristic
385#13063257C2311yescharacteristic
386#13063256C2311yescharacteristic
387#13063256C2311yescharacteristic
388#13063256C2311yescharacteristic
389#13063256C2311yescharacteristic
390#13063256C2311yescharacteristic
391C4⋊(C43⋊C8)C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393C4⋊(C43⋊C8)C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063248C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063247C2311yescharacteristic
414#13063247C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422(C2×D43)⋊C8C2311yescharacteristic
423(C2×D43)⋊C8C2311yescharacteristic
424(C2×D43)⋊C8C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426#13063236C2311yescharacteristic
427#13063236C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×Q16×C43C2311yescharacteristic
436C2×SD16×C43C2311yescharacteristic
437C2×SD16×C43C2311yescharacteristic
438C4⋊Q8×C43—21no—
439C4⋊Q8×C43C2311yescharacteristic
440#127×C43C2311yescharacteristic
441#125×C43—21no—
442#125×C43—21no—
443#125×C43C2311yescharacteristic
444#125×C43C2311yescharacteristic
445#124×C43—21no—
446#124×C43C2311yescharacteristic
447#124×C43C2311yescharacteristic
448#123×C43—21no—
449#123×C43—21no—
450C4×Q8×C43—21no—
451C4×Q8×C43C2311yescharacteristic
452C4×Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43—21no—
457C4×D4×C43C2311yescharacteristic
458C4×D4×C43C2311yescharacteristic
459#107×C43C2311yescharacteristic
460#106×C43C2311yescharacteristic
461#106×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465#103×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474#102×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43—21no—
479C2×Q8×C43C2×D411yescharacteristic
480C2×Q8×C43C2411yescharacteristic
481C2×Q8×C43C2411yescharacteristic
482C2×D4×C43—21no—
483C2×D4×C43—21no—
484C2×D4×C43C2411yescharacteristic
485C2×D4×C43C2411yescharacteristic
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C2×C22⋊D43—21no—
489C2×C22⋊D43—21no—
490C22×Dic43—21no—
491C22×Dic43—21no—
492C22×Dic43—21no—
493C22×Dic43—21no—
494#10621902—22no—
495#10621902—22no—
496C2×D172—21no—
497C2×D172C2411yescharacteristic
498C2×C4×D43—21no—
499C2×C4×D43—21no—
500C2×C4×D43—21no—
501C2×C4×D43—21no—
502C2×C4×D43—21no—
503C2×C4×D43—21no—
504C2×C4×D43—21no—
505C2×C4×D43—21no—
506C2×C4×D43—21no—
507C2×C4×D43C2×D411yescharacteristic
508C2×C4×D43C2×D411yescharacteristic
509C2×C4×D43C2411yescharacteristic
510C2×Dic86—21no—
511C2×Dic86—21no—
512C2×Dic86—21no—
513C2×Dic86—21no—
514C2×Dic86—21no—
515C2×Dic86C2×D411yescharacteristic
516C2×Dic86C2×D411yescharacteristic
517C2×Dic86C2×D411yescharacteristic
518C2×Dic86C2411yescharacteristic
519Q16×C43—22no—
520SD16×C43—22no—
521SD16×C43—22no—
522C2×C8×C43C2411yescharacteristic
523C2×C8×C43C2411yescharacteristic
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
526C4⋊C4×C43—21no—
527C4⋊C4×C43—21no—
528C4⋊C4×C43—21no—
529C4⋊C4×C43—21no—
530C4⋊C4×C43—21no—
531C4⋊C4×C43—21no—
532C4⋊C4×C43—21no—
533C4⋊C4×C43—21no—
534C4⋊C4×C43—21no—
535C4⋊C4×C43C2×D411yescharacteristic
536C4⋊C4×C43C2×D411yescharacteristic
537C4⋊C4×C43C2×D411yescharacteristic
538C4⋊C4×C43C2411yescharacteristic
539C4⋊C4×C43C2411yescharacteristic
540C4⋊C4×C43C2411yescharacteristic
541C4⋊C4×C43C2411yescharacteristic
542C22⋊C4×C43—21no—
543C22⋊C4×C43—21no—
544C22⋊C4×C43—21no—
545C22⋊C4×C43—21no—
546C22⋊C4×C43—21no—
547C22⋊C4×C43—21no—
548C42×C43—21no—
549C42×C43—21no—
550C42×C43—21no—
551C42×C43—21no—
552C42×C43C2411yescharacteristic
553C42×C43C2411yescharacteristic
554C42×C43C2411yescharacteristic
555C22⋊Dic43—21no—
556C22⋊Dic43—21no—
557C22⋊Dic43—21no—
558C22⋊Dic43—21no—
559C22⋊Dic43—21no—
560C22⋊Dic43—21no—
561C22⋊Dic43—21no—
562C22⋊Dic43—21no—
563C22⋊Dic43—21no—
564C22⋊Dic43—21no—
565#10621885—22no—
566#10621884—22no—
567#10621882—22no—
568#10621882—22no—
569(C2×D43)⋊C4—21no—
570(C2×D43)⋊C4—21no—
571(C2×D43)⋊C4—21no—
572(C2×D43)⋊C4—21no—
573(C2×D43)⋊C4—21no—
574(C2×D43)⋊C4—21no—
575(C2×D43)⋊C4—21no—
576(C2×D43)⋊C4—21no—
577(C2×D43)⋊C4—21no—
578(C2×D43)⋊C4C2×D411yescharacteristic
579(C2×D43)⋊C4C2×D411yescharacteristic
580(C2×D43)⋊C4C2×D411yescharacteristic
581(C2×D43)⋊C4C2×D411yescharacteristic
582C4⋊Dic43—21no—
583C4⋊Dic43—21no—
584C4⋊Dic43—21no—
585C4⋊Dic43—21no—
586C4⋊Dic43—21no—
587C4⋊Dic43—21no—
588C4⋊Dic43—21no—
589C4⋊Dic43—21no—
590C4⋊Dic43—21no—
591C4⋊Dic43—21no—
592C4⋊Dic43—21no—
593C4⋊Dic43—21no—
594C4⋊Dic43—21no—
595C4⋊Dic43—21no—
596C4⋊Dic43C2×D411yescharacteristic
597C4⋊Dic43C2×D411yescharacteristic
598C4⋊Dic43C2×D411yescharacteristic
599C4⋊Dic43C2411yescharacteristic
600C4⋊Dic43C2411yescharacteristic
601C4⋊Dic43C2411yescharacteristic
602C4⋊Dic43C2411yescharacteristic
603C4⋊Dic43C2411yescharacteristic
604C4⋊Dic43C2411yescharacteristic
605Dic43⋊C4—21no—
606Dic43⋊C4—21no—
607Dic43⋊C4—21no—
608Dic43⋊C4—21no—
609Dic43⋊C4—21no—
610Dic43⋊C4—21no—
611Dic43⋊C4—21no—
612Dic43⋊C4—21no—
613Dic43⋊C4—21no—
614Dic43⋊C4—21no—
615Dic43⋊C4—21no—
616Dic43⋊C4—21no—
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4C2×D411yescharacteristic
631Dic43⋊C4C2×D411yescharacteristic
632Dic43⋊C4C2×D411yescharacteristic
633Dic43⋊C4C2×D411yescharacteristic
634Dic43⋊C4C2×D411yescharacteristic
635Dic43⋊C4C2×D411yescharacteristic
636Dic43⋊C4C2×D411yescharacteristic
637Dic43⋊C4C2×D411yescharacteristic
638Dic43⋊C4C2×D411yescharacteristic
639Dic43⋊C4C2×D411yescharacteristic
640C4×Dic43—21no—
641C4×Dic43—21no—
642C4×Dic43—21no—
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43C2×D411yescharacteristic
650C4×Dic43C2×D411yescharacteristic
651C4×Dic43C2411yescharacteristic
652C4×Dic43C2411yescharacteristic
653C4×Dic43C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658#10621873—22no—
659C23×C43—21no—
660C23×C43—21no—
661C22×D43—21no—
662C22×D43C22×D411yescharacteristic
663Q8×C43—21no—
664Q8×C43—21no—
665Q8×C43—21no—
666Q8×C43—41no—
667Q8×C43—81no—
668Q8×C432−1+412yes—
669D4×C43—21no—
670D4×C43—21no—
671D4×C43—21no—
672D4×C43—21no—
673D4×C43—81no—
674D4×C43—81no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—81no—
682C2×C4×C43—81no—
683C2×C4×C43C22×D411yescharacteristic
684C2×C4×C43C22×D411yescharacteristic
685C2×C4×C43C22×D411yescharacteristic
686C2×C4×C43C22×D411yescharacteristic
687C2×C4×C43C22×D411yescharacteristic
688C2×C4×C43C22×D411yescharacteristic
689C2×C4×C43C2511yescharacteristic
690C22⋊D43—81no—
691C22⋊D43—81no—
692C2×Dic43—21no—
693C2×Dic43—21no—
694C2×Dic43—21no—
695C2×Dic43—21no—
696C2×Dic43—21no—
697C2×Dic43—21no—
698C2×Dic43—21no—
699C2×Dic43—81no—
700C2×Dic43—81no—
701C2×Dic43—81no—
702C2×Dic43—81no—
703C2×Dic43C22×D411yescharacteristic
704C2×Dic43C22×D411yescharacteristic
705C2×Dic43C22×D411yescharacteristic
706C2×Dic43C22×D411yescharacteristic
707C2×Dic43C22×D411yescharacteristic
708C2×Dic43C22×D411yescharacteristic
709C2×Dic43C22×D411yescharacteristic
710D172—24no—
711D172—21no—
712D1722−1+412yes—
713C4×D43—24no—
714C4×D43—21no—
715C4×D43—21no—
716C4×D43—41no—
717C4×D43—41no—
718C4×D43—81no—
719C4×D43—81no—
720C4×D43—81no—
721C4×D43—81no—
722C4×D43—81no—
723C4×D43—81no—
724C4×D43—81no—
725C4×D43—81no—
726Dic86—21no—
727Dic86—21no—
728Dic86—41no—
729Dic86—41no—
730Dic86—41no—
731Dic86—81no—
732Dic86—81no—
733Dic86—81no—
734Dic86—81no—
735Dic86—81no—
736C8×C43—21no—
737C8×C43—21no—
738C8×C43—21no—
739C8×C43—21no—
740C43⋊C8—21no—
741C43⋊C8—21no—
742C43⋊C8—21no—
743C43⋊C8—21no—
744#61867—431nomaximal, Sylow
745C22×C43—41no—
746C22×C43—41no—
747C22×C43—41no—
748C22×C43—41no—
749C22×C43—41no—
750C22×C43—41no—
751C22×C43C23×D411yescharacteristic
752C2×D43—21no—
753C2×D43—21no—
754C2×D43—22no—
755C2×D43—21no—
756C2×D43—41no—
757C2×D43—41no—
758C4×C43—21no—
759C4×C43—21no—
760C4×C43—21no—
761C4×C43—21no—
762C4×C43—21no—
763C4×C43—21no—
764C4×C43—22no—
765C4×C43—41no—
766C4×C43—41no—
767C4×C43—41no—
768C4×C43—41no—
769C4×C43—41no—
770C4×C43C2×2−1+411yescharacteristic
771C4×C43C2×2−1+411yescharacteristic
772Dic43—21no—
773Dic43—21no—
774Dic43—21no—
775Dic43—21no—
776Dic43—21no—
777Dic43—21no—
778Dic43—21no—
779Dic43—41no—
780Dic43—41no—
781Dic43—41no—
782Dic43—41no—
783Dic43—41no—
784Dic43—41no—
785Dic43—41no—
786#3557—431no—
787#3504—431no—
788#3390—431no—
789#3389—431no—
790#3388—431no—
791#3388—431no—
792#3383—431no—
793#3381—431no—
794#3381—431no—
795#3380—431no—
796#3377—431no—
797#3376—431no—
798#3371—431no—
799#3370—431no—
800#3365D4311yescharacteristic, complemented
801#3364—431no—
802#3361—431no—
803#3360—431no—
804#3244—431no—
805#3243—431no—
806#3242—431no—
807#3241—431no—
808#3232—431no—
809#3232—431no—
810#3125—431no—
811#3124—431no—
812#3120—431no—
813#3119—431no—
814#3102—431no—
815#3102—431no—
816#2986—431no—
817C2×C43—81no—
818C2×C43—81no—
819C2×C43#348611yescharacteristic
820C2×C43#358411yescharacteristic
821C2×C43#358411yescharacteristic
822D43—41no—
823D43—42no—
824#563—861no—
825#563—861no—
826#559—431no—
827#559C2×D4311yescharacteristic
828#557—431no—
829#557—431no—
830#557—431no—
831#557—431no—
832#557—431no—
833#557C2×D4311yescharacteristic
834#556—431no—
835#556—431no—
836#554—431no—
837#554—431no—
838#554—431no—
839#554—431no—
840#554—431no—
841#554—431no—
842#554—861no—
843#554—861no—
844#554—861no—
845#554—861no—
846#552—861no—
847#552—861no—
848#544—431no—
849#544—431no—
850#544—861no—
851#544—861no—
852#542—431no—
853#542—431no—
854#542—861no—
855#542—861no—
856#541—431no—
857#540—431no—
858#539—861no—
859#539—861no—
860#533—431no—
861#533—861no—
862#529—431no—
863#529—431no—
864C2×#125—431no—
865C2×#125—861no—
866#520—431no—
867#520—431no—
868C4×#41—431no—
869#501—431no—
870#501—431no—
871#501—431no—
872#501—431no—
873#500—431no—
874#499—431no—
875#499—431no—
876#499—431no—
877#499—431no—
878#499—431no—
879#499—431no—
880#498—431no—
881#491—431no—
882#490—431no—
883#489—431no—
884#489—431no—
885#488—431no—
886#488—431no—
887#488—431no—
888#488—431no—
889#488C2×D4311yescharacteristic
890#488C2×D4311yescharacteristic
891#487—431no—
892#486C2×D4311yescharacteristic
893#485—431no—
894#485—431no—
895#484—431no—
896#484—431no—
897#483—431no—
898#483—431no—
899#482—431no—
900#482—431no—
901#481—431no—
902#481—431no—
903#480—431no—
904#480—431no—
905#479—431no—
906#479—431no—
907#479—431no—
908#479—431no—
909#479—431no—
910#479—431no—
911#479—431no—
912#479—431no—
913#479—431no—
914#479—431no—
915#479—431no—
916#479—431no—
917#478—431no—
918#478—431no—
919#478—431no—
920#478—431no—
921#478—431no—
922#478—431no—
923#478—431no—
924#478—431no—
925#478—431no—
926#478—431no—
927#478C2×D4311yescharacteristic
928#478C2×D4311yescharacteristic
929#477—431no—
930#477—431no—
931#477—431no—
932#476—431no—
933#476—431no—
934#476—431no—
935#475—431no—
936#475—431no—
937#475C2×D4311yescharacteristic
938#474—431no—
939#474—431no—
940#474—431no—
941#464—431no—
942#464—431no—
943#464C2×D4311yescharacteristic
944#464C2×D4311yescharacteristic
945#463—431no—
946#463—431no—
947#463—431no—
948#463—431no—
949#462—431no—
950#461—431no—
951#460C2×D4311yescharacteristic
952#459—431no—
953#452—431no—
954#452—431no—
955#449—431no—
956#449—431no—
957#446—431no—
958#446—431no—
959#446—431no—
960#446—431no—
961C8×Q8—431no—
962C8×Q8—431no—
963C8×Q8—431no—
964C8×Q8C2×D4311yescharacteristic
965#442—431no—
966#442—431no—
967#441—431no—
968#441—431no—
969#440—431no—
970#440—431no—
971#440—431no—
972#440—431no—
973C4×Q16—431no—
974C4×Q16—431no—
975C4×Q16—431no—
976C4×Q16C2×D4311yescharacteristic
977C4×SD16—431no—
978C4×SD16—431no—
979C4×SD16—431no—
980C4×SD16—431no—
981C4×SD16—431no—
982C4×SD16—431no—
983C4×SD16C2×D4311yescharacteristic
984C4×SD16C2×D4311yescharacteristic
985C4×D8—431no—
986C4×D8—431no—
987C4×D8—431no—
988C4×D8—431no—
989#433—431no—
990#433—431no—
991#433—431no—
992#433—431no—
993#431—431no—
994#431—431no—
995C43#6186711yescharacteristic, complemented, Sylow
996C2×#41—431no—
997C2×Q16—431no—
998C2×Q16C22×D4311yescharacteristic
999C2×SD16—431no—
1000C2×SD16—431no—
1001C2×SD16C22×D4311yescharacteristic
1002C2×SD16C22×D4311yescharacteristic
1003C2×D8—431no—
1004C2×D8—431no—
1005C4⋊Q8—21no—
1006C4⋊Q8—431no—
1007C4⋊Q8—431no—
1008C4⋊Q8—431no—
1009C4⋊Q8—431no—
1010C4⋊Q8—431no—
1011C4⋊Q8—431no—
1012C4⋊Q8—431no—
1013C4⋊Q8—431no—
1014C4⋊Q8—861no—
1015C4⋊Q8—861no—
1016C4⋊Q8—861no—
1017C4⋊Q8—861no—
1018C4⋊Q8—861no—
1019C4⋊Q8—861no—
1020C4⋊Q8—861no—
1021C4⋊Q8C22×D4311yescharacteristic
1022#127C22×D4311yescharacteristic
1023#126—861no—
1024#126—861no—
1025#126—861no—
1026#126—861no—
1027#126—861no—
1028#126—861no—
1029#126—861no—
1030#126—861no—
1031#126—861no—
1032#126—861no—
1033#125—21no—
1034#125—21no—
1035#125—431no—
1036#125—431no—
1037#125—431no—
1038#125—431no—
1039#125—431no—
1040#125—431no—
1041#125—431no—
1042#125—431no—
1043#125—431no—
1044#125—431no—
1045#125—431no—
1046#125—431no—
1047#125—861no—
1048#125—861no—
1049#125—861no—
1050#125—861no—
1051#125—861no—
1052#125—861no—
1053#125—861no—
1054#125—861no—
1055#125—861no—
1056#125—861no—
1057#125—861no—
1058#125—861no—
1059#125—861no—
1060#125—861no—
1061#125—861no—
1062#125—861no—
1063#125C22×D4311yescharacteristic
1064#125C22×D4311yescharacteristic
1065#124—21no—
1066#124—431no—
1067#124—431no—
1068#124—861no—
1069#124—861no—
1070#124—861no—
1071#124C22×D4311yescharacteristic
1072#124C22×D4311yescharacteristic
1073#123—21no—
1074#123—21no—
1075#123—861no—
1076#123—861no—
1077#123—861no—
1078#123—861no—
1079#123—861no—
1080#123—861no—
1081#123—861no—
1082#123—861no—
1083C22⋊Q8—431no—
1084C22⋊Q8—431no—
1085C22⋊Q8—431no—
1086C22⋊Q8—431no—
1087C22⋊Q8—431no—
1088C22⋊Q8—431no—
1089C22⋊Q8—861no—
1090C22⋊Q8—861no—
1091C22⋊Q8—861no—
1092C22⋊Q8—861no—
1093C22⋊Q8—861no—
1094C22⋊Q8—861no—
1095C22⋊Q8—861no—
1096C22⋊Q8—861no—
1097C22⋊Q8—861no—
1098C22⋊Q8—861no—
1099C22⋊Q8—861no—
1100C22⋊Q8—861no—
1101C22⋊Q8—861no—
1102C22⋊Q8—861no—
1103C22⋊Q8—861no—
1104C22⋊Q8—861no—
1105C22⋊Q8—861no—
1106C22⋊Q8—861no—
1107C22⋊Q8—861no—
1108C22⋊Q8—861no—
1109C22⋊Q8—861no—
1110C22⋊Q8—861no—
1111C22⋊Q8—861no—
1112C22⋊Q8—861no—
1113C22⋊Q8—861no—
1114C22⋊Q8—861no—
1115#121—431no—
1116#121—431no—
1117#121—861no—
1118#121—861no—
1119C4×Q8—21no—
1120C4×Q8—431no—
1121C4×Q8—431no—
1122C4×Q8—431no—
1123C4×Q8—431no—
1124C4×Q8—431no—
1125C4×Q8—431no—
1126C4×Q8—431no—
1127C4×Q8—431no—
1128C4×Q8—431no—
1129C4×Q8—431no—
1130C4×Q8—431no—
1131C4×Q8—861no—
1132C4×Q8—861no—
1133C4×Q8—861no—
1134C4×Q8—861no—
1135C4×Q8—861no—
1136C4×Q8C22×D4311yescharacteristic
1137C4×Q8C22×D4311yescharacteristic
1138C4×Q8C22×D4311yescharacteristic
1139C4×Q8C22×D4311yescharacteristic
1140C4×Q8C22×D4311yescharacteristic
1141C4×D4—21no—
1142C4×D4—431no—
1143C4×D4—431no—
1144C4×D4—431no—
1145C4×D4—431no—
1146C4×D4—431no—
1147C4×D4—431no—
1148C4×D4—431no—
1149C4×D4—431no—
1150C4×D4—431no—
1151C4×D4—431no—
1152C4×D4—861no—
1153C4×D4—861no—
1154C4×D4—861no—
1155C4×D4—861no—
1156C4×D4—861no—
1157C4×D4—861no—
1158C4×D4—861no—
1159C4×D4—861no—
1160C4×D4—861no—
1161C4×D4C22×D4311yescharacteristic
1162C4×D4C22×D4311yescharacteristic
1163#117—431no—
1164#117—431no—
1165#117—431no—
1166#117—861no—
1167#117—861no—
1168#117—861no—
1169#117—861no—
1170#117—861no—
1171#117—861no—
1172#117—861no—
1173C2×C4⋊C4—431no—
1174C2×C4⋊C4—431no—
1175C2×C4⋊C4—861no—
1176C2×C4⋊C4—861no—
1177C2×C4⋊C4—861no—
1178C2×C4⋊C4—861no—
1179C2×C4⋊C4—861no—
1180C2×C4⋊C4—861no—
1181C2×C4⋊C4—861no—
1182C2×C4⋊C4—861no—
1183C2×C4⋊C4—861no—
1184C2×C4⋊C4—861no—
1185C2×C42—431no—
1186C2×C42—861no—
1187#107—431no—
1188#107—431no—
1189#107—431no—
1190#107—431no—
1191#107—431no—
1192#107—431no—
1193#107—431no—
1194#107—431no—
1195#107—431no—
1196#107—431no—
1197#107—431no—
1198#107C22×D4311yescharacteristic
1199#106—431no—
1200#106—431no—
1201#106—431no—
1202#106—431no—
1203#106—431no—
1204#106—431no—
1205#106—431no—
1206#106—431no—
1207#106—431no—
1208#106—431no—
1209#106C22×D4311yescharacteristic
1210#106C22×D4311yescharacteristic
1211C4⋊C8—431no—
1212C4⋊C8—431no—
1213C4⋊C8—431no—
1214C4⋊C8—431no—
1215C4⋊C8—431no—
1216C4⋊C8—431no—
1217C4⋊C8—431no—
1218C4⋊C8—431no—
1219C4⋊C8—431no—
1220C4⋊C8C22×D4311yescharacteristic
1221C4⋊C8C22×D4311yescharacteristic
1222C4⋊C8C22×D4311yescharacteristic
1223#103—431no—
1224#103—431no—
1225#103—431no—
1226#103—431no—
1227#103—431no—
1228#103—431no—
1229#103—431no—
1230#103—431no—
1231#103—431no—
1232#103—431no—
1233#103—431no—
1234#103—431no—
1235#103C22×D4311yescharacteristic
1236#103C22×D4311yescharacteristic
1237#103C22×D4311yescharacteristic
1238#103C22×D4311yescharacteristic
1239#102—431no—
1240#102—431no—
1241#102—431no—
1242#102—431no—
1243#102—431no—
1244#102—431no—
1245#102—431no—
1246#102—431no—
1247#102—431no—
1248#102—431no—
1249#102C22×D4311yescharacteristic
1250#102C22×D4311yescharacteristic
1251#102C22×D4311yescharacteristic
1252#102C22×D4311yescharacteristic
1253#102C22×D4311yescharacteristic
1254#102C22×D4311yescharacteristic
1255C22⋊C8—431no—
1256C22⋊C8—431no—
1257C22⋊C8—431no—
1258C22⋊C8—431no—
1259#97—431no—
1260#97—431no—
1261#97—431no—
1262#97—431no—
1263C4×C8—431no—
1264C4×C8—431no—
1265C4×C8—431no—
1266C4×C8—431no—
1267C4×C8—431no—
1268C4×C8C22×D4311yescharacteristic
1269C4×C8C22×D4311yescharacteristic
1270C4×C8C22×D4311yescharacteristic
1271#41—862no—
1272#41—862no—
1273C2×Q8—21no—
1274C2×Q8—431no—
1275C2×Q8—431no—
1276C2×Q8—431no—
1277C2×Q8—431no—
1278C2×Q8—861no—
1279C2×Q8—861no—
1280C2×Q8—861no—
1281C2×Q8—861no—
1282C2×Q8—861no—
1283C2×Q8D4×D4311yescharacteristic
1284C2×Q8C23×D4311yescharacteristic
1285C2×Q8C23×D4311yescharacteristic
1286C2×D4—21no—
1287C2×D4—21no—
1288C2×D4—431no—
1289C2×D4—861no—
1290C2×D4—861no—
1291C2×D4—861no—
1292C2×D4C23×D4311yescharacteristic
1293C2×D4C23×D4311yescharacteristic
1294C22×C4—21no—
1295C22×C4—21no—
1296C22×C4—431no—
1297C22×C4—431no—
1298C22×C4—431no—
1299C22×C4—861no—
1300C22×C4—861no—
1301C22×C4—861no—
1302C22×C4—861no—
1303C22×C4—861no—
1304C22×C4—861no—
1305C22×C4—861no—
1306C22×C4—861no—
1307C22×C4—861no—
1308C22×C4—861no—
1309C22×C4—861no—
1310C22×C4—861no—
1311C22×C4—861no—
1312Q16—22no—
1313Q16—862no—
1314SD16—22no—
1315SD16—22no—
1316SD16—862no—
1317SD16—862no—
1318D8—862no—
1319D8—862no—
1320C2×C8—431no—
1321C2×C8—431no—
1322C2×C8—431no—
1323C2×C8—431no—
1324C2×C8C23×D4311yescharacteristic
1325C2×C8C23×D4311yescharacteristic
1326C2×C8C23×D4311yescharacteristic
1327C2×C8C23×D4311yescharacteristic
1328C4⋊C4—21no—
1329C4⋊C4—21no—
1330C4⋊C4—21no—
1331C4⋊C4—21no—
1332C4⋊C4—21no—
1333C4⋊C4—21no—
1334C4⋊C4—21no—
1335C4⋊C4—21no—
1336C4⋊C4—21no—
1337C4⋊C4—431no—
1338C4⋊C4—431no—
1339C4⋊C4—431no—
1340C4⋊C4—431no—
1341C4⋊C4—431no—
1342C4⋊C4—431no—
1343C4⋊C4—431no—
1344C4⋊C4—431no—
1345C4⋊C4—431no—
1346C4⋊C4—431no—
1347C4⋊C4—431no—
1348C4⋊C4—431no—
1349C4⋊C4—431no—
1350C4⋊C4—431no—
1351C4⋊C4—431no—
1352C4⋊C4—431no—
1353C4⋊C4—431no—
1354C4⋊C4—431no—
1355C4⋊C4—431no—
1356C4⋊C4—861no—
1357C4⋊C4—861no—
1358C4⋊C4—861no—
1359C4⋊C4—861no—
1360C4⋊C4—861no—
1361C4⋊C4—861no—
1362C4⋊C4—861no—
1363C4⋊C4—861no—
1364C4⋊C4—861no—
1365C4⋊C4—861no—
1366C4⋊C4—861no—
1367C4⋊C4—861no—
1368C4⋊C4—861no—
1369C4⋊C4—861no—
1370C4⋊C4—861no—
1371C4⋊C4—861no—
1372C4⋊C4—861no—
1373C4⋊C4—861no—
1374C4⋊C4—861no—
1375C4⋊C4—861no—
1376C4⋊C4—861no—
1377C4⋊C4—861no—
1378C4⋊C4—861no—
1379C4⋊C4—861no—
1380C4⋊C4—861no—
1381C4⋊C4—861no—
1382C4⋊C4—861no—
1383C4⋊C4—861no—
1384C4⋊C4—861no—
1385C4⋊C4—861no—
1386C4⋊C4—861no—
1387C4⋊C4—861no—
1388C4⋊C4—861no—
1389C4⋊C4—861no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4D4×D4311yescharacteristic
1396C4⋊C4D4×D4311yescharacteristic
1397C4⋊C4D4×D4311yescharacteristic
1398C4⋊C4C23×D4311yescharacteristic
1399C4⋊C4C23×D4311yescharacteristic
1400C4⋊C4C23×D4311yescharacteristic
1401C4⋊C4C23×D4311yescharacteristic
1402C22⋊C4—21no—
1403C22⋊C4—21no—
1404C22⋊C4—21no—
1405C22⋊C4—21no—
1406C22⋊C4—21no—
1407C22⋊C4—21no—
1408C22⋊C4—431no—
1409C22⋊C4—431no—
1410C22⋊C4—431no—
1411C22⋊C4—431no—
1412C22⋊C4—861no—
1413C22⋊C4—861no—
1414C22⋊C4—861no—
1415C22⋊C4—861no—
1416C22⋊C4—861no—
1417C22⋊C4—861no—
1418C22⋊C4—861no—
1419C22⋊C4—861no—
1420C22⋊C4—861no—
1421C22⋊C4—861no—
1422C22⋊C4—861no—
1423C22⋊C4—861no—
1424C22⋊C4—861no—
1425C22⋊C4—861no—
1426C22⋊C4—861no—
1427C22⋊C4—861no—
1428C22⋊C4—861no—
1429C22⋊C4—861no—
1430C22⋊C4—861no—
1431C42—21no—
1432C42—21no—
1433C42—21no—
1434C42—21no—
1435C42—431no—
1436C42—431no—
1437C42—431no—
1438C42—431no—
1439C42—431no—
1440C42—861no—
1441C42—861no—
1442C42—861no—
1443C42—861no—
1444C42—861no—
1445C42—861no—
1446C42—861no—
1447C42—861no—
1448C42—861no—
1449C42C23×D4311yescharacteristic
1450C42C23×D4311yescharacteristic
1451C42C23×D4311yescharacteristic
1452C23—21no—
1453C23—21no—
1454C23—431no—
1455C23—861no—
1456Q8—21no—
1457Q8—21no—
1458Q8—21no—
1459Q8—41no—
1460Q8—81no—
1461Q8—861no—
1462Q8—861no—
1463Q8—3441no—
1464Q8—3441no—
1465Q8—3441no—
1466Q8—3441no—
1467Q8—3441no—
1468Q8—1721no—
1469Q8—1721no—
1470Q8—1721no—
1471Q8#1306337212yes—
1472D4—21no—
1473D4—21no—
1474D4—21no—
1475D4—21no—
1476D4—81no—
1477D4—81no—
1478D4—432no—
1479D4—864no—
1480D4—861no—
1481D4—3441no—
1482D4—3441no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—81no—
1490C2×C4—81no—
1491C2×C4—431no—
1492C2×C4—431no—
1493C2×C4—431no—
1494C2×C4—431no—
1495C2×C4—431no—
1496C2×C4—431no—
1497C2×C4—431no—
1498C2×C4—864no—
1499C2×C4—861no—
1500C2×C4—861no—
1501C2×C4—861no—
1502C2×C4—861no—
1503C2×C4—861no—
1504C2×C4—861no—
1505C2×C4—861no—
1506C2×C4—861no—
1507C2×C4—861no—
1508C2×C4—3441no—
1509C2×C4—3441no—
1510C2×C4—3441no—
1511C2×C4—3441no—
1512C2×C4—3441no—
1513C2×C4—3441no—
1514C2×C4—3441no—
1515C2×C4—3441no—
1516C2×C4—3441no—
1517C2×C4—3441no—
1518C2×C4—3441no—
1519C2×C4—3441no—
1520C2×C4—1721no—
1521C2×C4—1721no—
1522C2×C4C2×D4×D4311yescharacteristic
1523C2×C4C2×D4×D4311yescharacteristic
1524C2×C4C2×D4×D4311yescharacteristic
1525C2×C4C2×D4×D4311yescharacteristic
1526C2×C4C2×D4×D4311yescharacteristic
1527C2×C4C2×D4×D4311yescharacteristic
1528C2×C4C24×D4311yescharacteristic
1529C8—21no—
1530C8—21no—
1531C8—21no—
1532C8—21no—
1533C8—861no—
1534C8—861no—
1535C8—861no—
1536C8—861no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—861no—
1544C22—861no—
1545C22—862no—
1546C22—861no—
1547C22—1721no—
1548C22—1721no—
1549C22C22×D4×D4311yescharacteristic
1550C4—21no—
1551C4—21no—
1552C4—21no—
1553C4—21no—
1554C4—21no—
1555C4—21no—
1556C4—22no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—861no—
1563C4—861no—
1564C4—861no—
1565C4—861no—
1566C4—861no—
1567C4—861no—
1568C4—861no—
1569C4—1721no—
1570C4—1721no—
1571C4—1721no—
1572C4—1721no—
1573C4—1721no—
1574C4—1721no—
1575C4—1721no—
1576C42−1+4×D4311yescharacteristic
1577C4C2×#1306337211yescharacteristic
1578C2—81no—
1579C2—81no—
1580C2—1721no—
1581C2—1722no—
1582C2#1914824111yescharacteristic
1583C2#1914936411yescharacteristic
1584C2#1914936711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3365C2
socleC22×C43C23×D4
prime radical#19144793C2
hypercenter#3365D43
hypocenterC43#61867
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3365

Complements

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

NH ≅ G/Ntype
1. #19149092C2semidirect
2. #19148420C2semidirect
3. #19147558C2semidirect
4. #19147552C2semidirect
5. #19147547C2semidirect
6. #19147536C2semidirect
7. #19147486C2semidirect
8. #19147472C2semidirect
9. #19147468C2semidirect
10. #19147457C2semidirect
11. #19147434C2semidirect
12. #19147428C2semidirect
13. #19147356C2semidirect
14. #19147342C2semidirect
15. #19147275C2semidirect
16. #19147260C2semidirect
17. #19147241C2semidirect
18. #19145886C2semidirect
19. #19145877C2semidirect
20. #19145870C2semidirect
21. #19145841C2semidirect
22. #19145761C2semidirect
23. #19145758C2semidirect
24. #19144878C2semidirect
25. #19144856C2semidirect
26. #19144815C2semidirect
28. #19144612C2semidirect
29. #19144611C2semidirect
30. #19143695C2semidirect
31. C43×#3365C2semidirect
800. #3365D43semidirect
995. C43#61867semidirect

Maximal subgroups

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

subgroupindex
#191490922
#191484202
#191475582
#191475522
#191475472
#191475362
#191474862
#191474722
#191474682
#191474572
#191474342
#191474282
#191473562
#191473422
#191472752
#191472602
#191472412
#191458862
#191458772
#191458702
#191458412
#191457612
#191457582
#191448782
#191448562
#191448152
#191447932
#191446122
#191446112
#191436952
C43×#33652
#6186743