Finite Group Databasebeta

← #25979581

Subgroups — #25979581

Order 11008.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148682C211yesmaximal, characteristic, complemented
2#19148673C211yesmaximal, characteristic
3#19147643C211yesmaximal, characteristic, complemented
4#19147522C211yesmaximal, characteristic, complemented
5#19147292C211yesmaximal, characteristic, complemented
6#19147270C211yesmaximal, characteristic, complemented
7#19147203C211yesmaximal, characteristic, complemented
8#19147033C211yesmaximal, characteristic, complemented
9#19147029C211yesmaximal, characteristic, complemented
10#19146529C211yesmaximal, characteristic, complemented
11#19146488C211yesmaximal, characteristic, complemented
12#19146484C211yesmaximal, characteristic, complemented
13#19146467C211yesmaximal, characteristic, complemented
14#19146456C211yesmaximal, characteristic, complemented
15#19146259C211yesmaximal, characteristic, complemented
16#19146166C211yesmaximal, characteristic, complemented
17#19146158C211yesmaximal, characteristic, complemented
18#19145270C211yesmaximal, characteristic, complemented
19#19145258C211yesmaximal, characteristic, complemented
20#19145149C211yesmaximal, characteristic, complemented
21#19144831C211yesmaximal, characteristic, complemented
22#19144817C211yesmaximal, characteristic, complemented
23#19144812C211yesmaximal, characteristic, complemented
24#19144806C211yesmaximal, characteristic, complemented
25#19144722C211yesmaximal, characteristic, complemented
26#19144712C211yesmaximal, characteristic, complemented
27#19143563C211yesmaximal, characteristic, complemented
28#19143432C211yesmaximal, characteristic, complemented
29#19143431C211yesmaximal, characteristic, complemented
30C2×#14582991C211yesmaximal, characteristic, complemented
31C43×#3298C211yesmaximal, characteristic, complemented
32C2×#13063356C2211yescharacteristic
33C2×#13063354C2211yescharacteristic
34C22×#10621885C2211yescharacteristic
35#14583633—21no—
36#14583632C2211yescharacteristic
37#14583629C2211yescharacteristic
38#14583625C2211yescharacteristic
39#14583624—21no—
40#14583624C2211yescharacteristic
41#14583620—21no—
42#14583620C2211yescharacteristic
43#14583604C2211yescharacteristic
44#14583603—21no—
45#14583591—21no—
46#14583591C2211yescharacteristic
47#14583589—21no—
48#14583589C2211yescharacteristic
49#14583567C2211yescharacteristic
50Q8×C22⋊D43C2211yescharacteristic
51Q8×C22⋊D43C2211yescharacteristic
52#14583558C2211yescharacteristic
53#14583555C2211yescharacteristic
54#14583550C2211yescharacteristic
55#14583548—21no—
56#14583547—21no—
57#14583523C2211yescharacteristic
58#14583519—21no—
59#14583517—21no—
60#14583516C2211yescharacteristic
61#14583510—21no—
62#14583510C2211yescharacteristic
63#14583509—21no—
64#14583509C2211yescharacteristic
65#14583451—21no—
66#14583451C2211yescharacteristic
67#14583445—21no—
68#14583444C2211yescharacteristic
69#14583429—21no—
70#14583429C2211yescharacteristic
71#14583426—21no—
72#14583380C2211yescharacteristic
73#14583378C2211yescharacteristic
74#14583377C2211yescharacteristic
75#14583375C2211yescharacteristic
76C2×Q8×Dic43C2211yescharacteristic
77C2×#13063290C2211yescharacteristic
78#14583306C2211yescharacteristic
79#14583305C2211yescharacteristic
80#14583296C2211yescharacteristic
81#14583291C2211yescharacteristic
82#14583290C2211yescharacteristic
83#14583270C2211yescharacteristic
84#14583254C2211yescharacteristic
85#14583252C2211yescharacteristic
86#14583248C2211yescharacteristic
87#14583248C2211yescharacteristic
88#14583244C2211yescharacteristic
89#14583243C2211yescharacteristic
90#14583241C2211yescharacteristic
91#14583234C2211yescharacteristic
92#14583233C2211yescharacteristic
93#14583229C2211yescharacteristic
94#14583228C2211yescharacteristic
95#14583225C2211yescharacteristic
96#14583220C2211yescharacteristic
97#14583213C2211yescharacteristic
98#14583210C2211yescharacteristic
99#14583209C2211yescharacteristic
100#14583207C2211yescharacteristic
101#14583199C2211yescharacteristic
102#14583198C2211yescharacteristic
103#14583192C2211yescharacteristic
104#14583192C2211yescharacteristic
105#14583192C2211yescharacteristic
106#14583191C2211yescharacteristic
107#14583183C2211yescharacteristic
108#14583183C2211yescharacteristic
109#14583182C2211yescharacteristic
110#14583156C2211yescharacteristic
111#14583155C2211yescharacteristic
112#14583148C2211yescharacteristic
113#14583143C2211yescharacteristic
114#14583140C2211yescharacteristic
115#14583139C2211yescharacteristic
116#14583131C2211yescharacteristic
117#14583130C2211yescharacteristic
118#14583128C2211yescharacteristic
119#14583126C2211yescharacteristic
120#14583122C2211yescharacteristic
121#14583121C2211yescharacteristic
122#14583119C2211yescharacteristic
123#14583119C2211yescharacteristic
124#14583108C2211yescharacteristic
125#14583108C2211yescharacteristic
126#14583108C2211yescharacteristic
127#14583106C2211yescharacteristic
128#14583103C2211yescharacteristic
129#14583097C2211yescharacteristic
130#14583097C2211yescharacteristic
131#14583063C2211yescharacteristic
132#14583059C2211yescharacteristic
133#14583058C2211yescharacteristic
134#14583058C2211yescharacteristic
135#14583057C2211yescharacteristic
136#14583056C2211yescharacteristic
137#14583055C2211yescharacteristic
138#14583054C2211yescharacteristic
139#14583039C2211yescharacteristic
140#14583038C2211yescharacteristic
141#14583028C2211yescharacteristic
142C8×Dic86C2211yescharacteristic
143#14583005C2211yescharacteristic
144#14583005C2211yescharacteristic
145#14583004C2211yescharacteristic
146#14583003C2211yescharacteristic
147#14583003C2211yescharacteristic
148#14583003C2211yescharacteristic
149#14583002C2211yescharacteristic
150#14583002C2211yescharacteristic
151#14583002C2211yescharacteristic
152#14583000C2211yescharacteristic
153#14583000C2211yescharacteristic
154#14582999C2211yescharacteristic
155C4×Dic172C2211yescharacteristic
156#14582991C2211yescharacteristic
157#14582991C2211yescharacteristic
158#14582991C2211yescharacteristic
159#14582991C2211yescharacteristic
160#14582991C2211yescharacteristic
161#14582991C2211yescharacteristic
162#14582991C2211yescharacteristic
163#14582991C2211yescharacteristic
164#14582991C2211yescharacteristic
165#14582990C2211yescharacteristic
166SD16×Dic43C2211yescharacteristic
167#14582986C2211yescharacteristic
168#14582984C2211yescharacteristic
169#14582984C2211yescharacteristic
170#14582974C2211yescharacteristic
171#14582971C2211yescharacteristic
172#14582967C2211yescharacteristic
173C8×C22⋊D43C2211yescharacteristic
174C8×C22⋊D43C2211yescharacteristic
175#14582959C2211yescharacteristic
176#14582957C2211yescharacteristic
177#14582953C2211yescharacteristic
178#14582939C2211yescharacteristic
179#14582938C2211yescharacteristic
180C2×#13063258C2211yescharacteristic
181#14582896C2211yescharacteristic
182#14582892C2211yescharacteristic
183C2×#13063250C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582854C2211yescharacteristic
186#14582853C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic
188D4×Q8×C43C2211yescharacteristic
189C43×#547C2211yescharacteristic
190C43×#487C2211yescharacteristic
191C43×#483C2211yescharacteristic
192C43×#483C2211yescharacteristic
193C43×#475C2211yescharacteristic
194C43×#465C2211yescharacteristic
195C43×#465C2211yescharacteristic
196C43×#461C2211yescharacteristic
197C43×#448C2211yescharacteristic
198C43×#448C2211yescharacteristic
199C4×SD16×C43C2211yescharacteristic
200C8×D4×C43C2211yescharacteristic
201C2×#103×C43C2211yescharacteristic
202C2×#103×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621900—21no—
206C2×#10621900C2311yescharacteristic
207C22×Dic86C2311yescharacteristic
208C2×Q8×D43C2311yescharacteristic
209#13063356—24no—
210#13063354—24no—
211C2×Dic172C2311yescharacteristic
212C2×Dic172C2311yescharacteristic
213C2×#10621885—24no—
214C2×#10621885C2311yescharacteristic
215C2×#10621885C2311yescharacteristic
216C2×#10621885C2311yescharacteristic
217C2×#10621885C2311yescharacteristic
218C2×#10621885C2311yescharacteristic
219C2×#10621885C2311yescharacteristic
220C2×#10621873C2311yescharacteristic
221C2×#10621883C2311yescharacteristic
222C2×#10621884C2311yescharacteristic
223C2×#10621884C2311yescharacteristic
224C2×#10621884C2311yescharacteristic
225C2×#10621877C2311yescharacteristic
226C2×#10621872C2311yescharacteristic
227C22×C43⋊C8C2311yescharacteristic
228C2×C8×D43C2311yescharacteristic
229#13063324—21no—
230#13063324—21no—
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323—21no—
235#13063323—21no—
236#13063323—21no—
237#13063323—21no—
238#13063323C2311yescharacteristic
239#13063323C2311yescharacteristic
240#13063321—21no—
241#13063321C2311yescharacteristic
242#13063320—21no—
243#13063320—21no—
244#13063320—21no—
245#13063320—21no—
246#13063320—21no—
247#13063320D411yescharacteristic
248#13063318—21no—
249#13063318—21no—
250#13063318—21no—
251#13063318—21no—
252#13063318—21no—
253#13063318D411yescharacteristic
254#13063317—21no—
255#13063317C2311yescharacteristic
256#13063316—21no—
257#13063316—21no—
258#13063316—21no—
259#13063316—21no—
260#13063316C2311yescharacteristic
261#13063315—21no—
262#13063315—21no—
263#13063315—21no—
264#13063315—21no—
265#13063315—21no—
266#13063315—21no—
267#13063315—21no—
268#13063315—21no—
269#13063315D411yescharacteristic
270#13063314—21no—
271#13063313C2311yescharacteristic
272#13063312—21no—
273#13063312C2311yescharacteristic
274#13063311—21no—
275#13063311—21no—
276#13063311—21no—
277#13063311—21no—
278#13063311—21no—
279#13063311D411yescharacteristic
280#13063310—21no—
281#13063310—21no—
282#13063309—21no—
283#13063309D411yescharacteristic
284#13063308—21no—
285#13063308—21no—
286#13063307—21no—
287#13063306—21no—
288#13063306—21no—
289#13063306D411yescharacteristic
290#13063305C2311yescharacteristic
291#13063304—21no—
292#13063304—21no—
293#13063304—21no—
294#13063304C2311yescharacteristic
295#13063304C2311yescharacteristic
296#13063304C2311yescharacteristic
297#13063303—21no—
298#13063303—21no—
299#13063303—21no—
300#13063302—21no—
301#13063302—21no—
302#13063302—21no—
303#13063302D411yescharacteristic
304#13063301—21no—
305#13063301—21no—
306#13063301—21no—
307#13063301C2311yescharacteristic
308#13063301C2311yescharacteristic
309#13063300C2311yescharacteristic
310#13063299C2311yescharacteristic
311#13063298—21no—
312#13063297—21no—
313#13063297—21no—
314#13063297—21no—
315#13063297—21no—
316#13063297D411yescharacteristic
317Q8×Dic43—21no—
318Q8×Dic43—21no—
319Q8×Dic43—21no—
320Q8×Dic43—21no—
321Q8×Dic43C2311yescharacteristic
322Q8×Dic43C2311yescharacteristic
323Q8×Dic43C2311yescharacteristic
324Q8×Dic43C2311yescharacteristic
325Q8×Dic43C2311yescharacteristic
326Q8×Dic43C2311yescharacteristic
327Q8×Dic43C2311yescharacteristic
328C4×Dic86—21no—
329C4×Dic86—21no—
330C4×Dic86C2311yescharacteristic
331C4×Dic86C2311yescharacteristic
332C4×Dic86C2311yescharacteristic
333#13063290—21no—
334#13063290—21no—
335#13063290—21no—
336#13063290—21no—
337#13063290—21no—
338#13063290—21no—
339#13063290—21no—
340#13063290C2311yescharacteristic
341#13063290C2311yescharacteristic
342#13063290C2311yescharacteristic
343#13063290C2311yescharacteristic
344#13063290C2311yescharacteristic
345#13063290C2311yescharacteristic
346D4×Dic43—21no—
347D4×Dic43C2311yescharacteristic
348#13063287C2311yescharacteristic
349#13063287C2311yescharacteristic
350C4×C22⋊D43—21no—
351C4×C22⋊D43—21no—
352C4×C22⋊D43—21no—
353C4×C22⋊D43—21no—
354C4×C22⋊D43—21no—
355C4×C22⋊D43—21no—
356C4×C22⋊D43—21no—
357C4×C22⋊D43C2311yescharacteristic
358C4×C22⋊D43C2311yescharacteristic
359(C22⋊D43)⋊C4—21no—
360(C22⋊D43)⋊C4—21no—
361(C22⋊D43)⋊C4—21no—
362(C22⋊D43)⋊C4—21no—
363#13063284—21no—
364#13063284—21no—
365#13063284C2311yescharacteristic
366#13063284C2311yescharacteristic
367#13063283—21no—
368#13063283—21no—
369#13063283C2311yescharacteristic
370#13063282—21no—
371#13063282C2311yescharacteristic
372#13063281—21no—
373#13063281—21no—
374#13063281—21no—
375#13063281—21no—
376C2×C4⋊Dic43—21no—
377C2×C4⋊Dic43C2311yescharacteristic
378C2×Dic43⋊C4—21no—
379C2×Dic43⋊C4—21no—
380C4⋊C4×D43—21no—
381C4⋊C4×D43C2311yescharacteristic
382C2×C4×Dic43—21no—
383C2×C4×Dic43—21no—
384C2×C4×Dic43C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063259C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063256C2311yescharacteristic
395#13063256C2311yescharacteristic
396#13063256C2311yescharacteristic
397#13063256C2311yescharacteristic
398C4⋊(C43⋊C8)C2311yescharacteristic
399Dic43⋊C8C2311yescharacteristic
400Dic43⋊C8C2311yescharacteristic
401Dic43⋊C8C2311yescharacteristic
402Dic43⋊C8C2311yescharacteristic
403#13063250C2311yescharacteristic
404#13063250C2311yescharacteristic
405#13063250C2311yescharacteristic
406#13063250C2311yescharacteristic
407#13063250C2311yescharacteristic
408#13063250C2311yescharacteristic
409#13063250C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063248C2311yescharacteristic
414#13063248C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063248C2311yescharacteristic
418#13063247C2311yescharacteristic
419#13063247C2311yescharacteristic
420#13063247C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423#13063246C2311yescharacteristic
424#13063245C2311yescharacteristic
425C22⋊(C43⋊C8)C2311yescharacteristic
426C22⋊(C43⋊C8)C2311yescharacteristic
427(C2×D43)⋊C8C2311yescharacteristic
428(C2×D43)⋊C8C2311yescharacteristic
429#13063236C2311yescharacteristic
430#13063235C2311yescharacteristic
431#13063235C2311yescharacteristic
432#13063235C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C22×Q8×C43C2311yescharacteristic
440C22×Q8×C43C2311yescharacteristic
441C2×SD16×C43C2311yescharacteristic
442C2×SD16×C43C2311yescharacteristic
443C2×SD16×C43C2311yescharacteristic
444C22×C8×C43C2311yescharacteristic
445C22×C8×C43C2311yescharacteristic
446C4⋊Q8×C43—21no—
447C4⋊Q8×C43C2311yescharacteristic
448C4⋊Q8×C43C2311yescharacteristic
449#123×C43—21no—
450#123×C43—21no—
451C22⋊Q8×C43—21no—
452C22⋊Q8×C43—21no—
453C22⋊Q8×C43—21no—
454C22⋊Q8×C43C2311yescharacteristic
455C22⋊Q8×C43C2311yescharacteristic
456#121×C43C2311yescharacteristic
457#121×C43C2311yescharacteristic
458C4×Q8×C43C2311yescharacteristic
459C4×D4×C43—21no—
460C4×D4×C43C2311yescharacteristic
461C4×D4×C43C2311yescharacteristic
462C2×C4⋊C4×C43C2311yescharacteristic
463C2×C4⋊C4×C43C2311yescharacteristic
464#106×C43C2311yescharacteristic
465#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467C4⋊C8×C43C2311yescharacteristic
468#103×C43C2311yescharacteristic
469#103×C43C2311yescharacteristic
470#103×C43C2311yescharacteristic
471#103×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480C4×C8×C43C2311yescharacteristic
481#41×C43—82no—
482C2×Q8×C43—21no—
483C2×Q8×C43—21no—
484C2×Q8×C43—21no—
485C2×Q8×C43—22no—
486C2×Q8×C43—22no—
487C2×Q8×C43—41no—
488C2×Q8×C43—41no—
489C2×Q8×C43C2411yescharacteristic
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×D4×C43—21no—
493C2×D4×C43—21no—
494C2×D4×C43C2×D411yescharacteristic
495C2×D4×C43C2411yescharacteristic
496C22×C4×C43—21no—
497C22×C4×C43—21no—
498C22×C4×C43—21no—
499C22×C4×C43—21no—
500C22×C4×C43—21no—
501C22×C4×C43C2411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C2×C22⋊D43—21no—
504C2×C22⋊D43—21no—
505C2×C22⋊D43—21no—
506C2×C22⋊D43—21no—
507C2×C22⋊D43—21no—
508C2×C22⋊D43C2×D411yescharacteristic
509C2×C22⋊D43C2×D411yescharacteristic
510C22×Dic43—21no—
511C22×Dic43—21no—
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43C2×D411yescharacteristic
515C22×Dic43C2×D411yescharacteristic
516Q8×D43—22no—
517Q8×D43—41no—
518#10621900—22no—
519#10621900—41no—
520#10621900—82no—
521#10621898—22no—
522#10621898—41no—
523#10621898—82no—
524C2×D172—21no—
525C2×D172C2411yescharacteristic
526C2×C4×D43—21no—
527C2×C4×D43—21no—
528C2×C4×D43—21no—
529C2×C4×D43—21no—
530C2×C4×D43—21no—
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—22no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—41no—
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542C2×Dic86C2411yescharacteristic
543SD16×C43—22no—
544SD16×C43—41no—
545SD16×C43—41no—
546C2×C8×C43—41no—
547C2×C8×C43—41no—
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C2×C8×C43C2411yescharacteristic
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43—21no—
558C4⋊C4×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43C2×D411yescharacteristic
561C4⋊C4×C43C2411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43—21no—
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43C2×D411yescharacteristic
571C22⋊C4×C43C2×D411yescharacteristic
572C42×C43—21no—
573C42×C43C2411yescharacteristic
574C22⋊Dic43—21no—
575C22⋊Dic43—21no—
576C22⋊Dic43—21no—
577C22⋊Dic43—21no—
578C22⋊Dic43—21no—
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43C2×D411yescharacteristic
582C22⋊Dic43C2×D411yescharacteristic
583C22⋊Dic43C2×D411yescharacteristic
584C22⋊Dic43C2×D411yescharacteristic
585#10621885—22no—
586#10621885—22no—
587#10621885—22no—
588#10621885—22no—
589#10621885—41no—
590#10621885#4114yescomplemented
591#10621884—22no—
592#10621884—22no—
593#10621884—41no—
594#10621883—22no—
595(C2×D43)⋊C4—21no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4—21no—
601(C2×D43)⋊C4—21no—
602(C2×D43)⋊C4—21no—
603(C2×D43)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43—21no—
618C4⋊Dic43—21no—
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⋊C4—21no—
649Dic43⋊C4—21no—
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×Dic43—21no—
669C4×Dic43—21no—
670C4×Dic43—21no—
671C4×Dic43—21no—
672C4×Dic43—21no—
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2×D411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C4×Dic43C2411yescharacteristic
678#10621877—22no—
679C2×C43⋊C8—22no—
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683C2×C43⋊C8C2411yescharacteristic
684Dic172—22no—
685Dic172—41no—
686#10621873—41no—
687#10621872—22no—
688C8×D43—41no—
689C23×C43—21no—
690C23×C43C22×D411yescharacteristic
691C23×C43C22×D411yescharacteristic
692C22×D43—21no—
693C22×D43C22×D411yescharacteristic
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—21no—
699Q8×C43—42no—
700Q8×C43—42no—
701Q8×C43—81no—
702Q8×C43C2×#4112yes—
703D4×C43—22no—
704D4×C43—21no—
705D4×C43—21no—
706D4×C43—42no—
707D4×C43—81no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
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—21no—
718C2×C4×C43—21no—
719C2×C4×C43—42no—
720C2×C4×C43—42no—
721C2×C4×C43—42no—
722C2×C4×C43—81no—
723C2×C4×C43—81no—
724C2×C4×C43C22×D411yescharacteristic
725C2×C4×C43C22×D411yescharacteristic
726C2×C4×C43C22×D411yescharacteristic
727C2×C4×C43C22×D411yescharacteristic
728C2×C4×C43C2511yescharacteristic
729C22⋊D43—22no—
730C22⋊D43—22no—
731C22⋊D43—42no—
732C22⋊D43—42no—
733C22⋊D43—42no—
734C22⋊D43—42no—
735C22⋊D43—81no—
736C2×Dic43—22no—
737C2×Dic43—21no—
738C2×Dic43—22no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—42no—
746C2×Dic43—42no—
747C2×Dic43—42no—
748C2×Dic43—81no—
749C2×Dic43C22×D411yescharacteristic
750C2×Dic43C22×D411yescharacteristic
751C2×Dic43C22×D411yescharacteristic
752C2×Dic43C22×D411yescharacteristic
753C2×Dic43C22×D411yescharacteristic
754C2×Dic43C22×D411yescharacteristic
755C2×Dic43C22×D411yescharacteristic
756D172—21no—
757D172—21no—
758D172—81no—
759C4×D43—21no—
760C4×D43—21no—
761C4×D43—42no—
762C4×D43—42no—
763C4×D43—81no—
764C4×D43—81no—
765C4×D43—81no—
766Dic86—21no—
767Dic86—22no—
768Dic86—21no—
769Dic86—21no—
770Dic86—21no—
771Dic86—21no—
772Dic86—42no—
773Dic86—42no—
774Dic86—42no—
775Dic86—81no—
776Dic86—81no—
777Dic86C2×#4112yes—
778C8×C43—21no—
779C8×C43—21no—
780C8×C43—21no—
781C8×C43—21no—
782C43⋊C8—21no—
783C43⋊C8—21no—
784C43⋊C8—21no—
785C43⋊C8C2×#4112yes—
786#61499—431nomaximal, Sylow
787C22×C43—21no—
788C22×C43—21no—
789C22×C43—21no—
790C22×C43—21no—
791C22×C43—21no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43#57712yes—
796C22×C43C23×D411yescharacteristic
797C2×D43—21no—
798C2×D43—21no—
799C2×D43—21no—
800C2×D43—41no—
801C2×D43—41no—
802C2×D43—41no—
803C4×C43—21no—
804C4×C43—22no—
805C4×C43—21no—
806C4×C43—21no—
807C4×C43—21no—
808C4×C43—41no—
809C4×C43—41no—
810C4×C43—41no—
811C4×C43—41no—
812C4×C43—41no—
813C4×C43—41no—
814C4×C43C22×#4111yescharacteristic
815C4×C43#58511yescharacteristic
816Dic43—22no—
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#57812yes—
830#3523—431no—
831#3522—431no—
832#3400—431no—
833#3387—431no—
834#3365—431no—
835#3363—431no—
836#3356—431no—
837#3343—431no—
838#3343—431no—
839#3304—431no—
840#3300—431no—
841#3300—431no—
842#3299—431no—
843#3298—431no—
844#3298D4311yescharacteristic, complemented
845#3278—431no—
846#3270—431no—
847#3270—431no—
848#3178—431no—
849#3178—431no—
850#3167—431no—
851#3121—431no—
852#3121—431no—
853#3120—431no—
854#3120—431no—
855#3113—431no—
856#3112—431no—
857#2966—431no—
858#2947—431no—
859#2947—431no—
860C2×C4×Q16—431no—
861C2×C43—22no—
862C2×C43—41no—
863C2×C43—81no—
864C2×C43D4×#4111yescharacteristic
865C2×C43C2×#57711yescharacteristic
866C2×C43C2×#57811yescharacteristic
867D43—41no—
868D43—81no—
869C2×#137—431no—
870C2×#137—431no—
871C22×Q16—431no—
872#559—431no—
873#559—861no—
874Q82—431no—
875#557—431no—
876#557—431no—
877#557—861no—
878#556—431no—
879#556—861no—
880#554—431no—
881#554—861no—
882#552—431no—
883#552—431no—
884#552—861no—
885#552—861no—
886#550—431no—
887D4×Q8—431no—
888D4×Q8—431no—
889D4×Q8C2×D4311yescharacteristic
890#548—431no—
891#548—431no—
892#547—431no—
893#547—861no—
894#547—861no—
895#547C2×D4311yescharacteristic
896#542—431no—
897#542—431no—
898#542—861no—
899#542—861no—
900#541—431no—
901#541—431no—
902#541—861no—
903#541—861no—
904#533—431no—
905#533—861no—
906#532—431no—
907#532—861no—
908#529—431no—
909#529—861no—
910#529—861no—
911#520—431no—
912#520—431no—
913#519—431no—
914#519—431no—
915C2×C4×Q8—431no—
916C2×C4×Q8—431no—
917#501—431no—
918#501—431no—
919#498—431no—
920#497—431no—
921#497—431no—
922#492—431no—
923#488—431no—
924#488—431no—
925#487—431no—
926#487—431no—
927#487C2×D4311yescharacteristic
928#486—431no—
929#485—431no—
930#485—431no—
931#484—431no—
932#484—431no—
933#483—431no—
934#483—431no—
935#483C2×D4311yescharacteristic
936#483C2×D4311yescharacteristic
937#482—431no—
938#482—431no—
939#480—431no—
940#480—431no—
941#479—431no—
942#479—431no—
943#478—431no—
944#478—431no—
945#477—431no—
946#477—431no—
947#477—431no—
948#477—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#475C2×D4311yescharacteristic
953#470—431no—
954#470—431no—
955#468—431no—
956#468—431no—
957#467—431no—
958#467—431no—
959#465—431no—
960#465—431no—
961#465—431no—
962#465—431no—
963#465C2×D4311yescharacteristic
964#465C2×D4311yescharacteristic
965#464—431no—
966#464—431no—
967#464—431no—
968#464—431no—
969#462—431no—
970#462—431no—
971#462—431no—
972#462—431no—
973#461—431no—
974#461C2×D4311yescharacteristic
975#460—431no—
976#460—431no—
977#452—431no—
978#452—431no—
979#452—431no—
980#452—431no—
981#451—431no—
982#451—431no—
983#451—431no—
984#451—431no—
985#448—431no—
986#448—431no—
987#448C2×D4311yescharacteristic
988#448C2×D4311yescharacteristic
989#446—431no—
990C8×Q8—431no—
991#441—431no—
992#441—431no—
993#441—431no—
994#441—431no—
995#441—431no—
996#441—431no—
997#440—431no—
998#440—431no—
999#440—431no—
1000#440—431no—
1001#440—431no—
1002#440—431no—
1003C4×Q16—431no—
1004C4×Q16—431no—
1005C4×Q16—431no—
1006C4×Q16—431no—
1007C4×Q16—431no—
1008C4×Q16—431no—
1009C4×Q16—431no—
1010C4×Q16—431no—
1011C4×Q16—431no—
1012C4×Q16—431no—
1013C4×SD16—431no—
1014C4×SD16—431no—
1015C4×SD16—431no—
1016C4×SD16—431no—
1017C4×SD16—431no—
1018C4×SD16C2×D4311yescharacteristic
1019#436—431no—
1020#435—431no—
1021#435—431no—
1022C8×D4—431no—
1023C8×D4—431no—
1024C8×D4C2×D4311yescharacteristic
1025#433—431no—
1026#433—431no—
1027#432—431no—
1028#428—431no—
1029#428—431no—
1030C2×#107—431no—
1031#416—431no—
1032#416—431no—
1033C2×#103—431no—
1034C2×#103—431no—
1035C2×#103C2×D4311yescharacteristic
1036C2×#103C2×D4311yescharacteristic
1037#405—431no—
1038#405—431no—
1039C2×C4×C8—431no—
1040C43#6149911yescharacteristic, complemented, Sylow
1041C2×#41—21no—
1042C2×#41—431no—
1043C2×#41—431no—
1044C2×#41—861no—
1045C2×#41—861no—
1046C22×Q8—431no—
1047C22×Q8—431no—
1048C22×Q8C22×D4311yescharacteristic
1049C22×Q8C22×D4311yescharacteristic
1050#137—864no—
1051#137—864no—
1052C2×Q16—431no—
1053C2×Q16—431no—
1054C2×Q16—431no—
1055C2×Q16—431no—
1056C2×Q16—431no—
1057C2×Q16—431no—
1058C2×Q16—431no—
1059C2×Q16—431no—
1060C2×Q16—864no—
1061C2×SD16—431no—
1062C2×SD16—431no—
1063C2×SD16—431no—
1064C2×SD16—431no—
1065C2×SD16—431no—
1066C2×SD16C22×D4311yescharacteristic
1067C2×SD16C22×D4311yescharacteristic
1068C2×SD16C22×D4311yescharacteristic
1069C2×M16—431no—
1070C2×M16—431no—
1071C22×C8—431no—
1072C22×C8—431no—
1073C22×C8C22×D4311yescharacteristic
1074C22×C8C22×D4311yescharacteristic
1075C4⋊Q8—21no—
1076C4⋊Q8—431no—
1077C4⋊Q8—431no—
1078C4⋊Q8—431no—
1079C4⋊Q8—431no—
1080C4⋊Q8—431no—
1081C4⋊Q8—861no—
1082C4⋊Q8—861no—
1083C4⋊Q8—861no—
1084C4⋊Q8—861no—
1085C4⋊Q8—861no—
1086C4⋊Q8—861no—
1087C4⋊Q8C22×D4311yescharacteristic
1088C4⋊Q8C22×D4311yescharacteristic
1089#127—431no—
1090#127—861no—
1091#126—431no—
1092#126—431no—
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#125—431no—
1104#125—431no—
1105#125—431no—
1106#125—861no—
1107#125—861no—
1108#125—861no—
1109#125—861no—
1110#125—861no—
1111#125—861no—
1112#125—861no—
1113#125—861no—
1114#125—861no—
1115#125—861no—
1116#125—861no—
1117#125—861no—
1118#125—861no—
1119#124—431no—
1120#124—431no—
1121#124—431no—
1122#124—861no—
1123#124—861no—
1124#124—861no—
1125#124—861no—
1126#124—861no—
1127#124—861no—
1128#124—861no—
1129#123—21no—
1130#123—21no—
1131#123—431no—
1132#123—431no—
1133#123—861no—
1134#123—861no—
1135#123—861no—
1136#123—861no—
1137#123—861no—
1138#123—861no—
1139#123—861no—
1140#123—861no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—431no—
1145C22⋊Q8—431no—
1146C22⋊Q8—431no—
1147C22⋊Q8—431no—
1148C22⋊Q8—431no—
1149C22⋊Q8—431no—
1150C22⋊Q8—431no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8—861no—
1154C22⋊Q8—861no—
1155C22⋊Q8—861no—
1156C22⋊Q8—861no—
1157C22⋊Q8—861no—
1158C22⋊Q8—861no—
1159C22⋊Q8—861no—
1160C22⋊Q8—861no—
1161C22⋊Q8—861no—
1162C22⋊Q8—861no—
1163C22⋊Q8C22×D4311yescharacteristic
1164C22⋊Q8C22×D4311yescharacteristic
1165#121—431no—
1166#121—431no—
1167#121—431no—
1168#121—861no—
1169#121—861no—
1170#121—861no—
1171#121—861no—
1172#121—861no—
1173#121C22×D4311yescharacteristic
1174#121C22×D4311yescharacteristic
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—431no—
1180C4×Q8—431no—
1181C4×Q8—431no—
1182C4×Q8—431no—
1183C4×Q8—431no—
1184C4×Q8—431no—
1185C4×Q8—431no—
1186C4×Q8—431no—
1187C4×Q8—431no—
1188C4×Q8—431no—
1189C4×Q8—431no—
1190C4×Q8—431no—
1191C4×Q8—861no—
1192C4×Q8—861no—
1193C4×Q8—861no—
1194C4×Q8—861no—
1195C4×Q8—861no—
1196C4×Q8—861no—
1197C4×Q8—861no—
1198C4×Q8—861no—
1199C4×Q8—861no—
1200C4×Q8—861no—
1201C4×Q8—861no—
1202C4×Q8—861no—
1203C4×Q8—861no—
1204C4×Q8C22×D4311yescharacteristic
1205C4×D4—21no—
1206C4×D4—431no—
1207C4×D4—431no—
1208C4×D4—431no—
1209C4×D4—431no—
1210C4×D4—431no—
1211C4×D4—861no—
1212C4×D4—861no—
1213C4×D4—861no—
1214C4×D4—861no—
1215C4×D4—861no—
1216C4×D4—861no—
1217C4×D4—861no—
1218C4×D4—861no—
1219C4×D4—861no—
1220C4×D4—861no—
1221C4×D4—861no—
1222C4×D4—861no—
1223C4×D4C22×D4311yescharacteristic
1224C4×D4C22×D4311yescharacteristic
1225#117—431no—
1226#117—431no—
1227#117—431no—
1228#117—431no—
1229#117—861no—
1230#117—861no—
1231#117—861no—
1232#117—861no—
1233#117—861no—
1234#117—861no—
1235#117—861no—
1236#117—861no—
1237#117—861no—
1238C2×C4⋊C4—431no—
1239C2×C4⋊C4—431no—
1240C2×C4⋊C4—861no—
1241C2×C4⋊C4—861no—
1242C2×C4⋊C4—861no—
1243C2×C4⋊C4—861no—
1244C2×C4⋊C4C22×D4311yescharacteristic
1245C2×C4⋊C4C22×D4311yescharacteristic
1246C2×C42—431no—
1247C2×C42—861no—
1248C2×C42—861no—
1249#107—431no—
1250#107—431no—
1251#107—431no—
1252#107—431no—
1253#107—431no—
1254#107—431no—
1255#107—431no—
1256#107—431no—
1257#106—431no—
1258#106—431no—
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106C22×D4311yescharacteristic
1263#106C22×D4311yescharacteristic
1264#106C22×D4311yescharacteristic
1265C4⋊C8—431no—
1266C4⋊C8—431no—
1267C4⋊C8—431no—
1268C4⋊C8—431no—
1269C4⋊C8—431no—
1270C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1282#103—431no—
1283#103—431no—
1284#103—431no—
1285#103—431no—
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#103C22×D4311yescharacteristic
1289#103C22×D4311yescharacteristic
1290#103C22×D4311yescharacteristic
1291#103C22×D4311yescharacteristic
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102—431no—
1299#102—431no—
1300#102—431no—
1301#102—431no—
1302#102C22×D4311yescharacteristic
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8C22×D4311yescharacteristic
1308C22⋊C8C22×D4311yescharacteristic
1309#97—431no—
1310#97—431no—
1311#97—431no—
1312#97—431no—
1313C4×C8—431no—
1314C4×C8—431no—
1315C4×C8—431no—
1316C4×C8—431no—
1317C4×C8—431no—
1318C4×C8C22×D4311yescharacteristic
1319#41—82no—
1320#41—862no—
1321#41—862no—
1322#41—3442no—
1323#41—3442no—
1324#41—1721no—
1325#41—1721no—
1326C2×Q8—21no—
1327C2×Q8—21no—
1328C2×Q8—21no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—41no—
1332C2×Q8—41no—
1333C2×Q8—431no—
1334C2×Q8—431no—
1335C2×Q8—431no—
1336C2×Q8—431no—
1337C2×Q8—861no—
1338C2×Q8—861no—
1339C2×Q8—861no—
1340C2×Q8—861no—
1341C2×Q8—862no—
1342C2×Q8—861no—
1343C2×Q8—862no—
1344C2×Q8—1721no—
1345C2×Q8—1721no—
1346C2×Q8C23×D4311yescharacteristic
1347C2×Q8C23×D4311yescharacteristic
1348C2×Q8C23×D4311yescharacteristic
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—431no—
1352C2×D4—431no—
1353C2×D4—431no—
1354C2×D4—861no—
1355C2×D4—861no—
1356C2×D4—861no—
1357C2×D4—861no—
1358C2×D4—861no—
1359C2×D4—861no—
1360C2×D4D4×D4311yescharacteristic
1361C2×D4C23×D4311yescharacteristic
1362C22×C4—21no—
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—21no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—861no—
1371C22×C4—861no—
1372C22×C4—861no—
1373C22×C4—861no—
1374C22×C4—861no—
1375C22×C4—861no—
1376C22×C4—861no—
1377C22×C4—861no—
1378C22×C4—861no—
1379C22×C4C23×D4311yescharacteristic
1380C22×C4C23×D4311yescharacteristic
1381Q16—434no—
1382Q16—862no—
1383Q16—862no—
1384Q16—862no—
1385Q16—862no—
1386Q16—862no—
1387Q16—1721no—
1388Q16—1721no—
1389SD16—22no—
1390SD16—41no—
1391SD16—41no—
1392SD16—862no—
1393SD16—862no—
1394SD16—862no—
1395SD16—1721no—
1396SD16—1721no—
1397M16—862no—
1398M16—862no—
1399C2×C8—41no—
1400C2×C8—41no—
1401C2×C8—431no—
1402C2×C8—431no—
1403C2×C8—431no—
1404C2×C8—431no—
1405C2×C8—862no—
1406C2×C8—1721no—
1407C2×C8C23×D4311yescharacteristic
1408C2×C8C23×D4311yescharacteristic
1409C2×C8C23×D4311yescharacteristic
1410C2×C8C23×D4311yescharacteristic
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
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—431no—
1429C4⋊C4—431no—
1430C4⋊C4—431no—
1431C4⋊C4—431no—
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⋊C4—861no—
1460C4⋊C4—861no—
1461C4⋊C4—861no—
1462C4⋊C4—861no—
1463C4⋊C4—861no—
1464C4⋊C4—861no—
1465C4⋊C4—861no—
1466C4⋊C4D4×D4311yescharacteristic
1467C4⋊C4C23×D4311yescharacteristic
1468C4⋊C4C23×D4311yescharacteristic
1469C4⋊C4C23×D4311yescharacteristic
1470C4⋊C4C23×D4311yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—431no—
1477C22⋊C4—431no—
1478C22⋊C4—431no—
1479C22⋊C4—431no—
1480C22⋊C4—431no—
1481C22⋊C4—431no—
1482C22⋊C4—431no—
1483C22⋊C4—431no—
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⋊C4—861no—
1499C22⋊C4—861no—
1500C22⋊C4—861no—
1501C22⋊C4D4×D4311yescharacteristic
1502C22⋊C4D4×D4311yescharacteristic
1503C42—21no—
1504C42—431no—
1505C42—431no—
1506C42—431no—
1507C42—431no—
1508C42—431no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42—861no—
1517C42—861no—
1518C42—861no—
1519C42—861no—
1520C42—861no—
1521C42—861no—
1522C42—861no—
1523C42—861no—
1524C42—861no—
1525C42—861no—
1526C42C23×D4311yescharacteristic
1527C23—21no—
1528C23—431no—
1529C23—861no—
1530C23C2×D4×D4311yescharacteristic
1531C23C2×D4×D4311yescharacteristic
1532Q8—21no—
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—42no—
1538Q8—42no—
1539Q8—81no—
1540Q8—432no—
1541Q8—862no—
1542Q8—861no—
1543Q8—861no—
1544Q8—861no—
1545Q8—861no—
1546Q8—861no—
1547Q8—3441no—
1548Q8—3441no—
1549Q8—1722no—
1550Q8—1722no—
1551Q8—1722no—
1552Q8#41×D4312yes—
1553D4—22no—
1554D4—21no—
1555D4—21no—
1556D4—42no—
1557D4—81no—
1558D4—862no—
1559D4—862no—
1560D4—861no—
1561D4—861no—
1562D4—3441no—
1563D4—3441no—
1564D4—1722no—
1565D4—1722no—
1566D4—1722no—
1567D4—1722no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—42no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—81no—
1583C2×C4—81no—
1584C2×C4—431no—
1585C2×C4—431no—
1586C2×C4—431no—
1587C2×C4—431no—
1588C2×C4—431no—
1589C2×C4—431no—
1590C2×C4—431no—
1591C2×C4—862no—
1592C2×C4—862no—
1593C2×C4—861no—
1594C2×C4—861no—
1595C2×C4—861no—
1596C2×C4—861no—
1597C2×C4—861no—
1598C2×C4—861no—
1599C2×C4—861no—
1600C2×C4—861no—
1601C2×C4—861no—
1602C2×C4—3441no—
1603C2×C4—3441no—
1604C2×C4—3441no—
1605C2×C4—3441no—
1606C2×C4—1722no—
1607C2×C4—1722no—
1608C2×C4—1722no—
1609C2×C4—1722no—
1610C2×C4—1722no—
1611C2×C4C2×D4×D4311yescharacteristic
1612C2×C4C2×D4×D4311yescharacteristic
1613C2×C4C2×D4×D4311yescharacteristic
1614C2×C4C2×D4×D4311yescharacteristic
1615C2×C4C24×D4311yescharacteristic
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—21no—
1620C8—432no—
1621C8—861no—
1622C8—861no—
1623C8—861no—
1624C22—21no—
1625C22—21no—
1626C22—21no—
1627C22—21no—
1628C22—21no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—861no—
1633C22—861no—
1634C22—861no—
1635C22—1721no—
1636C22—1721no—
1637C22—1721no—
1638C22#1458370512yes—
1639C22C22×D4×D4311yescharacteristic
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—21no—
1644C4—22no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—432no—
1652C4—861no—
1653C4—861no—
1654C4—861no—
1655C4—861no—
1656C4—861no—
1657C4—861no—
1658C4—862no—
1659C4—1721no—
1660C4—1721no—
1661C4—1721no—
1662C4—1721no—
1663C4—1721no—
1664C4—1721no—
1665C4C2×#41×D4311yescharacteristic
1666C4#1458373411yescharacteristic
1667C2—22no—
1668C2—41no—
1669C2—81no—
1670C2—3441no—
1671C2—1721no—
1672C2#1914807911yescharacteristic
1673C2C2×#1458370511yescharacteristic
1674C2#578×D4311yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3298C2
socleC22×C43C23×D4
prime radical#19148673C2
hypercenter#3298D43
hypocenterC43#61499
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3298

Complements

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

NH ≅ G/Ntype
1. #19148682C2semidirect
3. #19147643C2semidirect
4. #19147522C2semidirect
5. #19147292C2semidirect
6. #19147270C2semidirect
7. #19147203C2semidirect
8. #19147033C2semidirect
9. #19147029C2semidirect
10. #19146529C2semidirect
11. #19146488C2semidirect
12. #19146484C2semidirect
13. #19146467C2semidirect
14. #19146456C2semidirect
15. #19146259C2semidirect
16. #19146166C2semidirect
17. #19146158C2semidirect
18. #19145270C2semidirect
19. #19145258C2semidirect
20. #19145149C2semidirect
21. #19144831C2semidirect
22. #19144817C2semidirect
23. #19144812C2semidirect
24. #19144806C2semidirect
25. #19144722C2semidirect
26. #19144712C2semidirect
27. #19143563C2semidirect
28. #19143432C2semidirect
29. #19143431C2semidirect
30. C2×#14582991C2semidirect
31. C43×#3298C2semidirect
590. #10621885#41semidirect
844. #3298D43semidirect
1040. C43#61499semidirect

Maximal subgroups

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

subgroupindex
#191486822
#191486732
#191476432
#191475222
#191472922
#191472702
#191472032
#191470332
#191470292
#191465292
#191464882
#191464842
#191464672
#191464562
#191462592
#191461662
#191461582
#191452702
#191452582
#191451492
#191448312
#191448172
#191448122
#191448062
#191447222
#191447122
#191435632
#191434322
#191434312
C2×#145829912
C43×#32982
#6149943