Finite Group Databasebeta

← #25988587

Subgroups — #25988587

Order 11008.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19149081C211yesmaximal, characteristic, complemented
2#19148446C211yesmaximal, characteristic, complemented
3#19147677C211yesmaximal, characteristic, complemented
4#19147673C211yesmaximal, characteristic, complemented
5#19147667C211yesmaximal, characteristic, complemented
6#19147656C211yesmaximal, characteristic, complemented
7#19147651C211yesmaximal, characteristic, complemented
8#19147647C211yesmaximal, characteristic, complemented
9#19147619C211yesmaximal, characteristic, complemented
10#19147612C211yesmaximal, characteristic, complemented
11#19147441C211yesmaximal, characteristic, complemented
12#19147436C211yesmaximal, characteristic, complemented
13#19147414C211yesmaximal, characteristic, complemented
14#19147406C211yesmaximal, characteristic, complemented
15#19147352C211yesmaximal, characteristic, complemented
16#19147341C211yesmaximal, characteristic, complemented
17#19147329C211yesmaximal, characteristic, complemented
18#19147319C211yesmaximal, characteristic, complemented
19#19145685C211yesmaximal, characteristic, complemented
20#19145667C211yesmaximal, characteristic, complemented
21#19145663C211yesmaximal, characteristic, complemented
22#19145630C211yesmaximal, characteristic, complemented
23#19145603C211yesmaximal, characteristic, complemented
24#19144851C211yesmaximal, characteristic, complemented
25#19144850C211yesmaximal, characteristic, complemented
26#19144811C211yesmaximal, characteristic, complemented
27#19144802C211yesmaximal, characteristic, complemented
28#19144728C211yesmaximal, characteristic, complemented
29#19144689C211yesmaximal, characteristic, complemented
30#19143699C211yesmaximal, characteristic, complemented
31C43×#3224C211yesmaximal, characteristic, complemented
32#14583652—21no—
33#14583649—21no—
34#14583635C2211yescharacteristic
35#14583635C2211yescharacteristic
36#14583631C2211yescharacteristic
37#14583631C2211yescharacteristic
38#14583629C2211yescharacteristic, complemented
39#14583627C2211yescharacteristic, complemented
40#14583625C2211yescharacteristic, complemented
41#14583624C2211yescharacteristic, complemented
42#14583619C2211yescharacteristic, complemented
43#14583618—21no—
44#14583618C2211yescharacteristic
45#14583618C2211yescharacteristic
46#14583618C2211yescharacteristic, complemented
47#14583618C2211yescharacteristic, complemented
48#14583613—21no—
49#14583608C2211yescharacteristic, complemented
50#14583601—21no—
51#14583596—21no—
52#14583586—21no—
53#14583569C2211yescharacteristic
54#14583569C2211yescharacteristic
55#14583549—21no—
56#14583528—21no—
57#14583516C2211yescharacteristic
58#14583511C2211yescharacteristic
59#14583509—21no—
60#14583509C2211yescharacteristic
61#14583506—21no—
62#14583506—21no—
63#14583484—21no—
64#14583484—21no—
65#14583466C2211yescharacteristic
66#14583452C2211yescharacteristic
67#14583451C2211yescharacteristic
68#14583445C2211yescharacteristic
69#14583430C2211yescharacteristic
70#14583405—21no—
71#14583405—21no—
72#14583382C2211yescharacteristic
73#14583379C2211yescharacteristic
74C2×D4×Dic43C2211yescharacteristic
75#14583294C2211yescharacteristic
76#14583292C2211yescharacteristic, complemented
77#14583290C2211yescharacteristic
78#14583290C2211yescharacteristic, complemented
79#14583290C2211yescharacteristic, complemented
80#14583287C2211yescharacteristic
81#14583287C2211yescharacteristic, complemented
82#14583282C2211yescharacteristic
83#14583271C2211yescharacteristic
84#14583270C2211yescharacteristic
85#14583266C2211yescharacteristic, complemented
86#14583263C2211yescharacteristic
87#14583262C2211yescharacteristic
88#14583262C2211yescharacteristic, complemented
89#14583260C2211yescharacteristic, complemented
90#14583257C2211yescharacteristic
91#14583257C2211yescharacteristic, complemented
92#14583253C2211yescharacteristic
93#14583252C2211yescharacteristic
94#14583244C2211yescharacteristic
95#14583235C2211yescharacteristic
96#14583232C2211yescharacteristic
97#14583230C2211yescharacteristic
98#14583210C2211yescharacteristic
99#14583207C2211yescharacteristic, complemented
100#14583204C2211yescharacteristic, complemented
101#14583201C2211yescharacteristic
102#14583201C2211yescharacteristic
103#14583201C2211yescharacteristic, complemented
104#14583200C2211yescharacteristic, complemented
105#14583192C2211yescharacteristic, complemented
106#14583191C2211yescharacteristic, complemented
107#14583177C2211yescharacteristic
108#14583177C2211yescharacteristic
109#14583177C2211yescharacteristic, complemented
110#14583176C2211yescharacteristic, complemented
111#14583124C2211yescharacteristic, complemented
112#14583120C2211yescharacteristic
113#14583120C2211yescharacteristic
114#14583120C2211yescharacteristic, complemented
115#14583119C2211yescharacteristic
116#14583119C2211yescharacteristic, complemented
117#14583118C2211yescharacteristic
118#14583118C2211yescharacteristic
119#14583118C2211yescharacteristic, complemented
120#14583116C2211yescharacteristic, complemented
121#14583112C2211yescharacteristic
122#14583112C2211yescharacteristic
123#14583112C2211yescharacteristic
124#14583112C2211yescharacteristic, complemented
125#14583112C2211yescharacteristic, complemented
126#14583111C2211yescharacteristic, complemented
127#14583110C2211yescharacteristic, complemented
128#14583108C2211yescharacteristic, complemented
129#14583107C2211yescharacteristic, complemented
130#14583107C2211yescharacteristic, complemented
131#14583105C2211yescharacteristic, complemented
132#14583102C2211yescharacteristic
133#14583102C2211yescharacteristic
134#14583102C2211yescharacteristic, complemented
135#14583098C2211yescharacteristic
136#14583098C2211yescharacteristic
137#14583098C2211yescharacteristic, complemented
138#14583097C2211yescharacteristic
139#14583097C2211yescharacteristic, complemented
140#14583096C2211yescharacteristic
141#14583096C2211yescharacteristic
142#14583092C2211yescharacteristic
143#14583063C2211yescharacteristic
144#14583063C2211yescharacteristic
145#14583061C2211yescharacteristic
146#14583061C2211yescharacteristic
147#14583059C2211yescharacteristic
148#14583050C2211yescharacteristic
149#14583050C2211yescharacteristic
150#14583042C2211yescharacteristic
151#14583029C2211yescharacteristic, complemented
152#14583029C2211yescharacteristic, complemented
153#14583028C2211yescharacteristic, complemented
154#14583028C2211yescharacteristic, complemented
155#14583027C2211yescharacteristic, complemented
156#14583027C2211yescharacteristic, complemented
157#14583026C2211yescharacteristic, complemented
158#14583026C2211yescharacteristic, complemented
159#14583011C2211yescharacteristic
160#14583011C2211yescharacteristic
161#14583007C2211yescharacteristic, complemented
162#14583006C2211yescharacteristic, complemented
163#14583001C2211yescharacteristic, complemented
164#14583000C2211yescharacteristic
165#14583000C2211yescharacteristic
166#14583000C2211yescharacteristic, complemented
167#14582999C2211yescharacteristic, complemented
168#14582997C2211yescharacteristic, complemented
169#14582996C2211yescharacteristic
170#14582996C2211yescharacteristic
171#14582996C2211yescharacteristic
172#14582996C2211yescharacteristic
173#14582996C2211yescharacteristic, complemented
174#14582996C2211yescharacteristic, complemented
175C4×Dic172C2211yescharacteristic, complemented
176C4×#10621885C2211yescharacteristic, complemented
177#14582991C2211yescharacteristic, complemented
178#14582991C2211yescharacteristic, complemented
179C4×#10621873C2211yescharacteristic, complemented
180SD16×Dic43C2211yescharacteristic, complemented
181D8×Dic43C2211yescharacteristic, complemented
182C4×#10621882C2211yescharacteristic, complemented
183#14582960C2211yescharacteristic
184#14582957C2211yescharacteristic
185#14582957C2211yescharacteristic
186#14582953C2211yescharacteristic
187#14582953C2211yescharacteristic
188C43×#542C2211yescharacteristic
189C43×#535C2211yescharacteristic
190C43×#496C2211yescharacteristic
191C43×#495C2211yescharacteristic
192C43×#489C2211yescharacteristic
193C43×#486C2211yescharacteristic
194C43×#464C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#460C2211yescharacteristic
197C43×#459C2211yescharacteristic
198C43×#452C2211yescharacteristic
199C43×#450C2211yescharacteristic
200C43×#449C2211yescharacteristic
201C43×#447C2211yescharacteristic
202C43×#433C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621900—21no—
205C2×#10621900—21no—
206C23×Dic43—21no—
207C2×Dic172C2311yescharacteristic
208C2×Dic172C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621873C2311yescharacteristic
214C2×#10621883C2311yescharacteristic
215C2×#10621883C2311yescharacteristic
216C2×#10621883C2311yescharacteristic
217C2×#10621883C2311yescharacteristic
218C2×#10621883C2311yescharacteristic
219C2×#10621883C2311yescharacteristic
220C2×#10621883C2311yescharacteristic
221C2×#10621884C2311yescharacteristic
222C2×#10621882C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063324—21no—
225#13063324—21no—
226#13063324D411yescharacteristic
227#13063324D411yescharacteristic
228#13063324C2311yescharacteristic
229#13063324C2311yescharacteristic
230#13063323—21no—
231#13063323—21no—
232#13063323—21no—
233#13063323C2311yescharacteristic
234#13063323C2311yescharacteristic
235#13063323C2311yescharacteristic
236#13063321C2311yescharacteristic
237#13063321C2311yescharacteristic
238#13063321C2311yescharacteristic
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318—21no—
254#13063318—21no—
255#13063317—21no—
256#13063317—21no—
257#13063317C2311yescharacteristic
258#13063316—21no—
259#13063316—21no—
260#13063316D411yescharacteristic
261#13063316D411yescharacteristic
262#13063316C2311yescharacteristic
263#13063316C2311yescharacteristic
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315—21no—
270#13063315—21no—
271#13063315—21no—
272#13063314C2311yescharacteristic
273#13063312—21no—
274#13063312—21no—
275#13063312—21no—
276#13063312C2311yescharacteristic
277#13063312C2311yescharacteristic
278#13063312C2311yescharacteristic
279#13063312C2311yescharacteristic
280#13063312C2311yescharacteristic
281#13063311—21no—
282#13063311—21no—
283#13063309—21no—
284#13063309—21no—
285#13063307—21no—
286#13063307—21no—
287#13063306—21no—
288#13063306—21no—
289#13063306—21no—
290#13063306—21no—
291#13063306—21no—
292#13063306—21no—
293#13063304—21no—
294#13063304—21no—
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063302—21no—
298#13063302—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302—21no—
304#13063302—21no—
305#13063302D411yescharacteristic
306#13063302D411yescharacteristic
307#13063302D411yescharacteristic
308#13063302D411yescharacteristic
309#13063297—21no—
310#13063297—21no—
311#13063297—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063296—21no—
316#13063296—21no—
317#13063296—21no—
318#13063296—21no—
319#13063294—21no—
320#13063294—21no—
321Q8×Dic43—21no—
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326C4×Dic86—21no—
327C4×Dic86—21no—
328C4×Dic86C2311yescharacteristic
329C4×Dic86C2311yescharacteristic
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333C4×Dic86C2311yescharacteristic
334C4×Dic86C2311yescharacteristic
335C4×Dic86C2311yescharacteristic
336#13063290—21no—
337#13063290—21no—
338#13063290C2311yescharacteristic
339#13063290C2311yescharacteristic
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342C4×D172C2311yescharacteristic
343C4×D172C2311yescharacteristic
344D4×Dic43—21no—
345D4×Dic43—21no—
346D4×Dic43—21no—
347D4×Dic43—21no—
348D4×Dic43—21no—
349D4×Dic43—21no—
350D4×Dic43—21no—
351D4×Dic43C2311yescharacteristic
352D4×Dic43C2311yescharacteristic
353D4×Dic43C2311yescharacteristic
354D4×Dic43C2311yescharacteristic
355D4×Dic43C2311yescharacteristic
356D4×Dic43C2311yescharacteristic
357D4×Dic43C2311yescharacteristic
358D4×Dic43C2311yescharacteristic
359C4×C22⋊D43—21no—
360C4×C22⋊D43—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363(C22⋊D43)⋊C4—21no—
364(C22⋊D43)⋊C4—21no—
365#13063284—21no—
366#13063284—21no—
367#13063284C2311yescharacteristic
368#13063283—21no—
369#13063281—21no—
370#13063281—21no—
371#13063281—21no—
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375C2×C4⋊Dic43—21no—
376C2×C4⋊Dic43C2311yescharacteristic
377C2×Dic43⋊C4—21no—
378C4⋊C4×D43—21no—
379C2×C22⋊Dic43—21no—
380C2×C4×Dic43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389C4⋊(C43⋊C8)C2311yescharacteristic
390C4⋊(C43⋊C8)C2311yescharacteristic
391Dic43⋊C8C2311yescharacteristic
392Dic43⋊C8C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397Dic43⋊C8C2311yescharacteristic
398Dic43⋊C8C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063248C2311yescharacteristic
410#13063248C2311yescharacteristic
411#13063247C2311yescharacteristic
412#13063247C2311yescharacteristic
413#13063246C2311yescharacteristic
414#13063246C2311yescharacteristic
415#13063246C2311yescharacteristic
416#13063246C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063245C2311yescharacteristic
422#13063245C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425#13063236C2311yescharacteristic
426#13063235C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432C4×C43⋊C8C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×#41×C43C2311yescharacteristic
436C22×D4×C43C2311yescharacteristic
437C2×Q16×C43C2311yescharacteristic
438C2×SD16×C43C2311yescharacteristic
439C2×SD16×C43C2311yescharacteristic
440C2×SD16×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×D8×C43C2311yescharacteristic
443C2×D8×C43C2311yescharacteristic
444C2×D8×C43C2311yescharacteristic
445C4⋊Q8×C43C2311yescharacteristic
446#127×C43C2311yescharacteristic
447#127×C43C2311yescharacteristic
448#126×C43—21no—
449#124×C43—21no—
450#124×C43C2311yescharacteristic
451#124×C43C2311yescharacteristic
452#124×C43C2311yescharacteristic
453#123×C43—21no—
454C22⋊Q8×C43—21no—
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43—21no—
457#121×C43—21no—
458#121×C43C2311yescharacteristic
459#120×C43—21no—
460#120×C43—21no—
461C4×Q8×C43C2311yescharacteristic
462C4×D4×C43C2311yescharacteristic
463#117×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466#103×C43C2311yescharacteristic
467#103×C43C2311yescharacteristic
468#102×C43C2311yescharacteristic
469#102×C43C2311yescharacteristic
470#102×C43C2311yescharacteristic
471#102×C43C2311yescharacteristic
472#102×C43C2311yescharacteristic
473#102×C43C2311yescharacteristic
474C22⋊C8×C43C2311yescharacteristic
475C22⋊C8×C43C2311yescharacteristic
476#97×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C24×C43—21no—
479#41×C43—41no—
480#41×C43—41no—
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43—21no—
487C2×D4×C43—21no—
488C2×D4×C43—21no—
489C2×D4×C43—21no—
490C2×D4×C43—21no—
491C2×D4×C43—41no—
492C2×D4×C43—41no—
493C2×D4×C43C2411yescharacteristic
494C2×D4×C43C2411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C2×D4×C43C2411yescharacteristic
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43C2411yescharacteristic
500C2×C22⋊D43—21no—
501C2×C22⋊D43—21no—
502C2×C22⋊D43—21no—
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C22×Dic43—21no—
508C22×Dic43—21no—
509C22×Dic43—21no—
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—82no—
517C22×Dic43C2×D411yescharacteristic
518C22×Dic43C2×D411yescharacteristic
519#10621900—82no—
520#10621900—82no—
521#10621898—41no—
522#10621898—41no—
523C2×D172C2411yescharacteristic
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×Dic86—21no—
528C2×Dic86—21no—
529C2×Dic86C2×D411yescharacteristic
530C2×Dic86C2×D411yescharacteristic
531C2×Dic86C2×D411yescharacteristic
532C2×Dic86C2×D411yescharacteristic
533C2×Dic86C2411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—41no—
537SD16×C43—41no—
538SD16×C43—41no—
539SD16×C43—41no—
540SD16×C43—41no—
541D8×C43—41no—
542D8×C43—41no—
543D8×C43—41no—
544C2×C8×C43C2411yescharacteristic
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C4⋊C4×C43—21no—
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
551C4⋊C4×C43C2×D411yescharacteristic
552C4⋊C4×C43C2×D411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C4⋊C4×C43C2411yescharacteristic
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43C2×D411yescharacteristic
565C22⋊C4×C43C2×D411yescharacteristic
566C42×C43—21no—
567C42×C43C2411yescharacteristic
568C42×C43C2411yescharacteristic
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43—21no—
585C22⋊Dic43—21no—
586C22⋊Dic43—21no—
587C22⋊Dic43—21no—
588C22⋊Dic43—21no—
589C22⋊Dic43C2×D411yescharacteristic
590C22⋊Dic43C2×D411yescharacteristic
591#10621885—41no—
592#10621885—41no—
593#10621885—41no—
594#10621884—41no—
595#10621883—41no—
596#10621883—41no—
597#10621883—41no—
598#10621883—41no—
599#10621883—41no—
600#10621883—41no—
601#10621883—41no—
602#10621882—41no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43C2×D411yescharacteristic
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2×D411yescharacteristic
619C4⋊Dic43C2×D411yescharacteristic
620C4⋊Dic43C2×D411yescharacteristic
621C4⋊Dic43C2×D411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625C4⋊Dic43C2411yescharacteristic
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊C4—21no—
631Dic43⋊C4—21no—
632Dic43⋊C4—21no—
633Dic43⋊C4—21no—
634Dic43⋊C4—21no—
635Dic43⋊C4—21no—
636Dic43⋊C4—21no—
637Dic43⋊C4—21no—
638Dic43⋊C4—21no—
639Dic43⋊C4—21no—
640Dic43⋊C4—21no—
641Dic43⋊C4—21no—
642Dic43⋊C4—21no—
643Dic43⋊C4—21no—
644Dic43⋊C4—21no—
645Dic43⋊C4—21no—
646Dic43⋊C4—21no—
647Dic43⋊C4—21no—
648Dic43⋊C4C2×D411yescharacteristic
649Dic43⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655Dic43⋊C4C2×D411yescharacteristic
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43—21no—
662C4×Dic43—21no—
663C4×Dic43—21no—
664C4×Dic43—21no—
665C4×Dic43—21no—
666C4×Dic43—21no—
667C4×Dic43—21no—
668C4×Dic43C2×D411yescharacteristic
669C4×Dic43C2×D411yescharacteristic
670C4×Dic43C2411yescharacteristic
671C4×Dic43C2411yescharacteristic
672C4×Dic43C2411yescharacteristic
673C4×Dic43C2411yescharacteristic
674C2×C43⋊C8C2411yescharacteristic
675C2×C43⋊C8C2411yescharacteristic
676C2×C43⋊C8C2411yescharacteristic
677C2×C43⋊C8C2411yescharacteristic
678Dic172—41no—
679Dic172—41no—
680#10621873—41no—
681#10621873—41no—
682C23×C43—21no—
683C23×C43—21no—
684C23×C43—21no—
685C23×C43—21no—
686C23×C43—42no—
687C23×C43—81no—
688C23×C43—81no—
689C23×C43C22×D411yescharacteristic
690C22×D43—21no—
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—81no—
696D4×C43—21no—
697D4×C43—21no—
698D4×C43—21no—
699D4×C43—21no—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—21no—
704D4×C43—42no—
705D4×C43—42no—
706D4×C43—81no—
707D4×C43—81no—
708D4×C43—81no—
709D4×C43—81no—
710D4×C43—81no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—42no—
718C2×C4×C43—81no—
719C2×C4×C43C22×D411yescharacteristic
720C2×C4×C43C22×D411yescharacteristic
721C2×C4×C43C22×D411yescharacteristic
722C2×C4×C43C22×D411yescharacteristic
723C2×C4×C43C22×D411yescharacteristic
724C2×C4×C43C2511yescharacteristic
725C22⋊D43—42no—
726C22⋊D43—42no—
727C22⋊D43—81no—
728C22⋊D43—81no—
729C22⋊D43—81no—
730C22⋊D43—81no—
731C22⋊D43—81no—
732C2×Dic43—21no—
733C2×Dic43—21no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—41no—
740C2×Dic43—41no—
741C2×Dic43—42no—
742C2×Dic43—42no—
743C2×Dic43—42no—
744C2×Dic43—81no—
745C2×Dic43—81no—
746C2×Dic43—81no—
747C2×Dic43—81no—
748C2×Dic43—81no—
749C2×Dic43—81no—
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756C2×Dic43C22×D411yescharacteristic
757C2×Dic43C22×D411yescharacteristic
758D172—21no—
759D172—21no—
760C4×D43—42no—
761C4×D43—81no—
762C4×D43—81no—
763Dic86—21no—
764Dic86—21no—
765Dic86—21no—
766Dic86—21no—
767Dic86—21no—
768Dic86—21no—
769Dic86—41no—
770Dic86—41no—
771Dic86—41no—
772Dic86—41no—
773Dic86—81no—
774Dic86—81no—
775C8×C43—21no—
776C8×C43—21no—
777C8×C43—21no—
778C8×C43—21no—
779C43⋊C8—21no—
780C43⋊C8—21no—
781C43⋊C8—21no—
782C43⋊C8—21no—
783#61939—431nomaximal, Sylow
784C22×C43—21no—
785C22×C43—21no—
786C22×C43—21no—
787C22×C43—41no—
788C22×C43—41no—
789C22×C43—41no—
790C22×C43—41no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—84no—
800C22×C43C23×D411yescharacteristic
801C2×D43—41no—
802C2×D43—41no—
803C2×D43—41no—
804C4×C43—21no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—21no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43#58511yescharacteristic
814C4×C43#58511yescharacteristic
815Dic43—21no—
816Dic43—21no—
817Dic43—21no—
818Dic43—21no—
819Dic43—21no—
820Dic43—21no—
821Dic43—21no—
822Dic43—21no—
823Dic43—41no—
824Dic43—41no—
825Dic43—41no—
826Dic43—41no—
827Dic43—41no—
828Dic43—41no—
829Dic43—41no—
830#3555—431no—
831#3506—431no—
832#3402—431no—
833#3402—431no—
834#3401—431no—
835#3401—431no—
836#3400—431no—
837#3400—431no—
838#3397—431no—
839#3397—431no—
840#3377—431no—
841#3377—431no—
842#3375—431no—
843#3375—431no—
844#3370—431no—
845#3370—431no—
846#3368—431no—
847#3368—431no—
848#3224—431no—
849#3224D4311yescharacteristic, complemented
850#3222—431no—
851#3222—431no—
852#3219—431no—
853#3216—431no—
854#3124—431no—
855#3124—431no—
856#3120—431no—
857#3120—431no—
858#3114—431no—
859#3110—431no—
860#2987—431no—
861C2×C43—41no—
862C2×C43—81no—
863C2×C43—81no—
864C2×C43—81no—
865C2×C43—81no—
866C2×C43#348711yescharacteristic
867C2×C43#358511yescharacteristic
868C2×C43#358611yescharacteristic
869D43—81no—
870#563—861no—
871#563—861no—
872#559—431no—
873#559—431no—
874#559—431no—
875#559—431no—
876Q82—431no—
877#557—431no—
878#557—431no—
879#557—431no—
880#556—431no—
881#556—431no—
882#556—431no—
883#556—431no—
884#556—431no—
885#556—861no—
886#555—861no—
887#554—431no—
888#553—861no—
889#553—861no—
890#552—861no—
891#550—431no—
892#550—431no—
893#547—861no—
894#544—861no—
895#542—431no—
896#542C2×D4311yescharacteristic
897#541—431no—
898#541—431no—
899#541—861no—
900#541—861no—
901#541—861no—
902#538—861no—
903#538—861no—
904#535—431no—
905#535C2×D4311yescharacteristic
906#533—431no—
907#533—431no—
908#532—431no—
909#529—431no—
910#525—861no—
911#525—861no—
912#520—431no—
913#520—431no—
914C2×C4×D4—431no—
915#497—431no—
916#497—431no—
917#497—431no—
918#497—431no—
919#497—431no—
920#496—431no—
921#496—431no—
922#496C2×D4311yescharacteristic
923#495—431no—
924#495C2×D4311yescharacteristic
925#492—431no—
926#492—431no—
927#491—431no—
928#490—431no—
929#490—431no—
930#490—431no—
931#489—431no—
932#489—431no—
933#489—431no—
934#489C2×D4311yescharacteristic
935#488—431no—
936#488—431no—
937#486—431no—
938#486C2×D4311yescharacteristic
939#484—431no—
940#484—431no—
941#483—431no—
942#480—431no—
943#479—431no—
944#479—431no—
945#478—431no—
946#478—431no—
947#478—431no—
948#478—431no—
949#477—431no—
950#477—431no—
951#474—431no—
952#474—431no—
953#474—431no—
954#474—431no—
955#464—431no—
956#464—431no—
957#464—431no—
958#464—431no—
959#464—431no—
960#464—431no—
961#464—431no—
962#464—431no—
963#464—431no—
964#464C2×D4311yescharacteristic
965#463—431no—
966#463—431no—
967#463—431no—
968#463—431no—
969#463—431no—
970#463—431no—
971#463—431no—
972#463C2×D4311yescharacteristic
973#462—431no—
974#462—431no—
975#462—431no—
976#462—431no—
977#461—431no—
978#461—431no—
979#461—431no—
980#461—431no—
981#460—431no—
982#460—431no—
983#460—431no—
984#460—431no—
985#460—431no—
986#460—431no—
987#460—431no—
988#460C2×D4311yescharacteristic
989#459—431no—
990#459C2×D4311yescharacteristic
991#452—431no—
992#452—431no—
993#452—431no—
994#452—431no—
995#452—431no—
996#452C2×D4311yescharacteristic
997#450—431no—
998#450—431no—
999#450C2×D4311yescharacteristic
1000#449—431no—
1001#449C2×D4311yescharacteristic
1002#447C2×D4311yescharacteristic
1003#446—431no—
1004#446—431no—
1005#446—431no—
1006#446—431no—
1007#446—431no—
1008#446—431no—
1009#446—431no—
1010#446—431no—
1011#442—431no—
1012#442—431no—
1013#441—431no—
1014#441—431no—
1015#440—431no—
1016#440—431no—
1017#440—431no—
1018#440—431no—
1019#440—431no—
1020#440—431no—
1021#440—431no—
1022#440—431no—
1023#440—431no—
1024#440—431no—
1025#440—431no—
1026#440—431no—
1027C4×Q16—431no—
1028C4×Q16—431no—
1029C4×Q16—431no—
1030C4×Q16—431no—
1031C4×SD16—431no—
1032C4×SD16—431no—
1033C4×D8—431no—
1034C4×D8—431no—
1035#433—431no—
1036#433—431no—
1037#433—431no—
1038#433C2×D4311yescharacteristic
1039#432—431no—
1040#432—431no—
1041C43#6193911yescharacteristic, complemented, Sylow
1042C2×#41—431no—
1043C2×#41—861no—
1044C2×#41—861no—
1045C2×#41C22×D4311yescharacteristic
1046C22×D4C22×D4311yescharacteristic
1047C23×C4—861no—
1048C2×Q16—431no—
1049C2×Q16—431no—
1050C2×Q16—431no—
1051C2×Q16—431no—
1052C2×Q16—431no—
1053C2×Q16C22×D4311yescharacteristic
1054C2×SD16—431no—
1055C2×SD16—431no—
1056C2×SD16—431no—
1057C2×SD16—431no—
1058C2×SD16—431no—
1059C2×SD16—431no—
1060C2×SD16—431no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16C22×D4311yescharacteristic
1065C2×SD16C22×D4311yescharacteristic
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×D8—431no—
1069C2×D8C22×D4311yescharacteristic
1070C2×D8C22×D4311yescharacteristic
1071C2×D8C22×D4311yescharacteristic
1072C4⋊Q8—431no—
1073C4⋊Q8—431no—
1074C4⋊Q8—431no—
1075C4⋊Q8—431no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—861no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8C22×D4311yescharacteristic
1086#127—431no—
1087#127—431no—
1088#127—431no—
1089#127C22×D4311yescharacteristic
1090#127C22×D4311yescharacteristic
1091#126—21no—
1092#126—861no—
1093#126—861no—
1094#126—861no—
1095#126—861no—
1096#126—861no—
1097#126—861no—
1098#126—861no—
1099#126—861no—
1100#126—861no—
1101#126—861no—
1102#126—861no—
1103#126—861no—
1104#126—861no—
1105#126—861no—
1106#126—861no—
1107#126—861no—
1108#125—431no—
1109#125—431no—
1110#125—431no—
1111#125—431no—
1112#125—431no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#125—861no—
1120#125—861no—
1121#125—861no—
1122#125—861no—
1123#125—861no—
1124#125—861no—
1125#124—21no—
1126#124—431no—
1127#124—431no—
1128#124—431no—
1129#124—431no—
1130#124—431no—
1131#124—431no—
1132#124—861no—
1133#124—861no—
1134#124—861no—
1135#124—861no—
1136#124—861no—
1137#124C22×D4311yescharacteristic
1138#124C22×D4311yescharacteristic
1139#124C22×D4311yescharacteristic
1140#123—21no—
1141#123—861no—
1142#123—861no—
1143#123—861no—
1144#123—861no—
1145#123—861no—
1146#123—861no—
1147#123—861no—
1148#123—861no—
1149#123—861no—
1150#123—861no—
1151C22⋊Q8—21no—
1152C22⋊Q8—431no—
1153C22⋊Q8—431no—
1154C22⋊Q8—431no—
1155C22⋊Q8—431no—
1156C22⋊Q8—431no—
1157C22⋊Q8—431no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8—861no—
1164C22⋊Q8—861no—
1165C22⋊Q8—861no—
1166C22⋊Q8—861no—
1167C22⋊Q8—861no—
1168C22⋊Q8C22×D4311yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—861no—
1172#121—861no—
1173#121—861no—
1174#121—861no—
1175#121—861no—
1176#121—861no—
1177#121—861no—
1178#121—861no—
1179#121—861no—
1180#121—861no—
1181#121C22×D4311yescharacteristic
1182#120—21no—
1183#120—21no—
1184#120—861no—
1185#120—861no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—431no—
1192C4×Q8—431no—
1193C4×Q8—431no—
1194C4×Q8—431no—
1195C4×Q8—431no—
1196C4×Q8—431no—
1197C4×Q8—431no—
1198C4×Q8—431no—
1199C4×Q8—431no—
1200C4×Q8—431no—
1201C4×Q8—431no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8—861no—
1205C4×Q8—861no—
1206C4×Q8—861no—
1207C4×Q8C22×D4311yescharacteristic
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—431no—
1212C4×D4—431no—
1213C4×D4—431no—
1214C4×D4—431no—
1215C4×D4—431no—
1216C4×D4—431no—
1217C4×D4—431no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4—861no—
1224C4×D4—861no—
1225C4×D4—861no—
1226C4×D4—861no—
1227C4×D4—861no—
1228C4×D4—861no—
1229C4×D4—861no—
1230C4×D4—861no—
1231C4×D4C22×D4311yescharacteristic
1232#117—431no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238#117—861no—
1239#117—861no—
1240#117—861no—
1241#117—861no—
1242#117C22×D4311yescharacteristic
1243C2×C4⋊C4—431no—
1244C2×C4⋊C4—861no—
1245C2×C4⋊C4—861no—
1246C2×C4⋊C4—861no—
1247C2×C22⋊C4—861no—
1248C2×C42—431no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#106—431no—
1256#106—431no—
1257C4⋊C8—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8—431no—
1264C4⋊C8—431no—
1265C4⋊C8—431no—
1266C4⋊C8—431no—
1267C4⋊C8C22×D4311yescharacteristic
1268C4⋊C8C22×D4311yescharacteristic
1269#103—431no—
1270#103—431no—
1271#103—431no—
1272#103—431no—
1273#103—431no—
1274#103—431no—
1275#103—431no—
1276#103—431no—
1277#103—431no—
1278#103—431no—
1279#103—431no—
1280#103—431no—
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#102—431no—
1284#102—431no—
1285#102—431no—
1286#102—431no—
1287#102—431no—
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102—431no—
1295#102C22×D4311yescharacteristic
1296#102C22×D4311yescharacteristic
1297#102C22×D4311yescharacteristic
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8C22×D4311yescharacteristic
1304C22⋊C8C22×D4311yescharacteristic
1305#97—431no—
1306#97—431no—
1307#97—431no—
1308#97—431no—
1309#97—431no—
1310#97—431no—
1311#97—431no—
1312#97C22×D4311yescharacteristic
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8C22×D4311yescharacteristic
1317C24—21no—
1318#41—41no—
1319#41—41no—
1320#41—3442no—
1321#41—3442no—
1322#41—1721no—
1323#41—1721no—
1324C2×Q8—21no—
1325C2×Q8—431no—
1326C2×Q8—431no—
1327C2×Q8—431no—
1328C2×Q8—431no—
1329C2×Q8—431no—
1330C2×Q8—431no—
1331C2×Q8—431no—
1332C2×Q8—861no—
1333C2×Q8—861no—
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—21no—
1342C2×D4—21no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—431no—
1346C2×D4—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4—861no—
1352C2×D4—861no—
1353C2×D4C23×D4311yescharacteristic
1354C2×D4C23×D4311yescharacteristic
1355C2×D4C23×D4311yescharacteristic
1356C2×D4C23×D4311yescharacteristic
1357C22×C4—21no—
1358C22×C4—21no—
1359C22×C4—431no—
1360C22×C4—431no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4—861no—
1366C22×C4—861no—
1367C22×C4—861no—
1368C22×C4—861no—
1369C22×C4—861no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—3442no—
1374C22×C4C23×D4311yescharacteristic
1375Q16—41no—
1376Q16—1721no—
1377Q16—1721no—
1378Q16—1721no—
1379Q16—1721no—
1380Q16—1721no—
1381SD16—41no—
1382SD16—41no—
1383SD16—41no—
1384SD16—41no—
1385SD16—1721no—
1386SD16—1721no—
1387SD16—1721no—
1388SD16—1721no—
1389SD16—1721no—
1390SD16—1721no—
1391SD16—1721no—
1392SD16—1721no—
1393SD16—1721no—
1394SD16—1721no—
1395D8—41no—
1396D8—41no—
1397D8—41no—
1398D8—1721no—
1399C2×C8—431no—
1400C2×C8—431no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8C23×D4311yescharacteristic
1404C2×C8C23×D4311yescharacteristic
1405C2×C8C23×D4311yescharacteristic
1406C2×C8C23×D4311yescharacteristic
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—431no—
1420C4⋊C4—431no—
1421C4⋊C4—431no—
1422C4⋊C4—431no—
1423C4⋊C4—431no—
1424C4⋊C4—431no—
1425C4⋊C4—431no—
1426C4⋊C4—431no—
1427C4⋊C4—431no—
1428C4⋊C4—861no—
1429C4⋊C4—861no—
1430C4⋊C4—861no—
1431C4⋊C4—861no—
1432C4⋊C4—861no—
1433C4⋊C4—861no—
1434C4⋊C4—861no—
1435C4⋊C4—861no—
1436C4⋊C4—861no—
1437C4⋊C4—861no—
1438C4⋊C4—861no—
1439C4⋊C4—861no—
1440C4⋊C4—861no—
1441C4⋊C4—861no—
1442C4⋊C4—861no—
1443C4⋊C4—861no—
1444C4⋊C4—861no—
1445C4⋊C4—861no—
1446C4⋊C4—861no—
1447C4⋊C4—861no—
1448C4⋊C4—861no—
1449C4⋊C4—861no—
1450C4⋊C4—861no—
1451C4⋊C4—861no—
1452C4⋊C4—861no—
1453C4⋊C4—861no—
1454C4⋊C4—861no—
1455C4⋊C4—861no—
1456C4⋊C4—861no—
1457C4⋊C4—861no—
1458C4⋊C4—861no—
1459C4⋊C4D4×D4311yescharacteristic
1460C4⋊C4D4×D4311yescharacteristic
1461C4⋊C4C23×D4311yescharacteristic
1462C4⋊C4C23×D4311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—431no—
1473C22⋊C4—431no—
1474C22⋊C4—861no—
1475C22⋊C4—861no—
1476C22⋊C4—861no—
1477C22⋊C4—861no—
1478C22⋊C4—861no—
1479C22⋊C4—861no—
1480C22⋊C4—861no—
1481C22⋊C4—861no—
1482C22⋊C4—861no—
1483C22⋊C4—861no—
1484C22⋊C4—861no—
1485C22⋊C4—861no—
1486C22⋊C4—861no—
1487C22⋊C4—861no—
1488C22⋊C4—861no—
1489C22⋊C4—861no—
1490C22⋊C4—861no—
1491C22⋊C4—861no—
1492C22⋊C4—861no—
1493C22⋊C4—861no—
1494C22⋊C4—861no—
1495C22⋊C4—861no—
1496C22⋊C4—861no—
1497C22⋊C4—861no—
1498C22⋊C4D4×D4311yescharacteristic
1499C22⋊C4D4×D4311yescharacteristic
1500C42—21no—
1501C42—431no—
1502C42—431no—
1503C42—431no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42C23×D4311yescharacteristic
1520C42C23×D4311yescharacteristic
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—42no—
1526C23—81no—
1527C23—81no—
1528C23—861no—
1529C23C2×D4×D4311yescharacteristic
1530Q8—21no—
1531Q8—21no—
1532Q8—21no—
1533Q8—21no—
1534Q8—81no—
1535Q8—861no—
1536Q8—861no—
1537Q8—861no—
1538Q8—861no—
1539Q8—861no—
1540Q8—861no—
1541Q8—3441no—
1542Q8—3441no—
1543Q8—1721no—
1544Q8—1721no—
1545Q8—1721no—
1546Q8—1721no—
1547D4—21no—
1548D4—21no—
1549D4—21no—
1550D4—21no—
1551D4—21no—
1552D4—21no—
1553D4—21no—
1554D4—21no—
1555D4—42no—
1556D4—42no—
1557D4—81no—
1558D4—81no—
1559D4—81no—
1560D4—81no—
1561D4—81no—
1562D4—861no—
1563D4—861no—
1564D4—3441no—
1565D4—3441no—
1566D4—3441no—
1567D4—3441no—
1568D4—3441no—
1569D4—1722no—
1570D4—1722no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—42no—
1578C2×C4—81no—
1579C2×C4—431no—
1580C2×C4—431no—
1581C2×C4—431no—
1582C2×C4—431no—
1583C2×C4—431no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—861no—
1588C2×C4—861no—
1589C2×C4—861no—
1590C2×C4—861no—
1591C2×C4—861no—
1592C2×C4—861no—
1593C2×C4—861no—
1594C2×C4—3441no—
1595C2×C4—3441no—
1596C2×C4—3441no—
1597C2×C4—3441no—
1598C2×C4—3441no—
1599C2×C4—3441no—
1600C2×C4—3441no—
1601C2×C4—3441no—
1602C2×C4—1722no—
1603C2×C4—1721no—
1604C2×C4—1721no—
1605C2×C4—1722no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4C2×D4×D4311yescharacteristic
1609C2×C4C2×D4×D4311yescharacteristic
1610C2×C4C2×D4×D4311yescharacteristic
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C24×D4311yescharacteristic
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—861no—
1619C8—861no—
1620C8—861no—
1621C8—861no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—84no—
1638C22—1721no—
1639C22—1721no—
1640C22—1721no—
1641C22C22×D4×D4311yescharacteristic
1642C4—21no—
1643C4—21no—
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—861no—
1652C4—861no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—861no—
1659C4—1721no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4—1721no—
1666C4#1458373411yescharacteristic
1667C4#1458373411yescharacteristic
1668C2—41no—
1669C2—81no—
1670C2—81no—
1671C2—81no—
1672C2—81no—
1673C2—3441no—
1674C2#1914825111yescharacteristic
1675C2#1914937011yescharacteristic
1676C2#1914937711yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3224C2
socleC22×C43C23×D4
hypercenter#3224D43
hypocenterC43#61939
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #19149081C2semidirect
2. #19148446C2semidirect
3. #19147677C2semidirect
4. #19147673C2semidirect
5. #19147667C2semidirect
6. #19147656C2semidirect
7. #19147651C2semidirect
8. #19147647C2semidirect
9. #19147619C2semidirect
10. #19147612C2semidirect
11. #19147441C2semidirect
12. #19147436C2semidirect
13. #19147414C2semidirect
14. #19147406C2semidirect
15. #19147352C2semidirect
16. #19147341C2semidirect
17. #19147329C2semidirect
18. #19147319C2semidirect
19. #19145685C2semidirect
20. #19145667C2semidirect
21. #19145663C2semidirect
22. #19145630C2semidirect
23. #19145603C2semidirect
24. #19144851C2semidirect
25. #19144850C2semidirect
26. #19144811C2semidirect
27. #19144802C2semidirect
28. #19144728C2semidirect
29. #19144689C2semidirect
30. #19143699C2semidirect
31. C43×#3224C2semidirect
38. #14583629C22semidirect
39. #14583627C22semidirect
40. #14583625C22semidirect
41. #14583624C22semidirect
42. #14583619C22semidirect
46. #14583618C22semidirect
47. #14583618C22semidirect
49. #14583608C22semidirect
76. #14583292C22semidirect
78. #14583290C22semidirect
79. #14583290C22semidirect
81. #14583287C22semidirect
85. #14583266C22semidirect
88. #14583262C22semidirect
89. #14583260C22semidirect
91. #14583257C22semidirect
99. #14583207C22semidirect
100. #14583204C22semidirect
103. #14583201C22semidirect
104. #14583200C22semidirect
105. #14583192C22semidirect
106. #14583191C22semidirect
109. #14583177C22semidirect
110. #14583176C22semidirect
111. #14583124C22semidirect
114. #14583120C22semidirect
116. #14583119C22semidirect
119. #14583118C22semidirect
120. #14583116C22semidirect
124. #14583112C22semidirect
125. #14583112C22semidirect
126. #14583111C22semidirect
127. #14583110C22semidirect
128. #14583108C22semidirect
129. #14583107C22semidirect
130. #14583107C22semidirect
131. #14583105C22semidirect
134. #14583102C22semidirect
137. #14583098C22semidirect
139. #14583097C22semidirect
151. #14583029C22semidirect
152. #14583029C22semidirect
153. #14583028C22semidirect
154. #14583028C22semidirect
155. #14583027C22semidirect
156. #14583027C22semidirect
157. #14583026C22semidirect
158. #14583026C22semidirect
161. #14583007C22semidirect
162. #14583006C22semidirect
163. #14583001C22semidirect
166. #14583000C22semidirect
167. #14582999C22semidirect
168. #14582997C22semidirect
173. #14582996C22semidirect
174. #14582996C22semidirect
175. C4×Dic172C22semidirect
176. C4×#10621885C22semidirect
177. #14582991C22semidirect
178. #14582991C22semidirect
179. C4×#10621873C22semidirect
180. SD16×Dic43C22semidirect
181. D8×Dic43C22semidirect
182. C4×#10621882C22semidirect
849. #3224D43semidirect
1041. C43#61939semidirect

Maximal subgroups

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

subgroupindex
#191490812
#191484462
#191476772
#191476732
#191476672
#191476562
#191476512
#191476472
#191476192
#191476122
#191474412
#191474362
#191474142
#191474062
#191473522
#191473412
#191473292
#191473192
#191456852
#191456672
#191456632
#191456302
#191456032
#191448512
#191448502
#191448112
#191448022
#191447282
#191446892
#191436992
C43×#32242
#6193943