Finite Group Databasebeta

← #25979416

Subgroups — #25979416

Order 11008.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148603C211yesmaximal, characteristic, complemented
2#19148560C211yesmaximal, characteristic, complemented
3#19147623C211yesmaximal, characteristic, complemented
4#19147506C211yesmaximal, characteristic, complemented
5#19147268C211yesmaximal, characteristic, complemented
6#19147239C211yesmaximal, characteristic, complemented
7#19147216C211yesmaximal, characteristic, complemented
8#19147131C211yesmaximal, characteristic, complemented
9#19147127C211yesmaximal, characteristic, complemented
10#19146516C211yesmaximal, characteristic, complemented
11#19146512C211yesmaximal, characteristic, complemented
12#19146505C211yesmaximal, characteristic, complemented
13#19146482C211yesmaximal, characteristic, complemented
14#19146475C211yesmaximal, characteristic, complemented
15#19146464C211yesmaximal, characteristic, complemented
16#19146235C211yesmaximal, characteristic, complemented
17#19146150C211yesmaximal, characteristic, complemented
18#19145260C211yesmaximal, characteristic, complemented
19#19145256C211yesmaximal, characteristic, complemented
20#19145176C211yesmaximal, characteristic, complemented
21#19144893C211yesmaximal, characteristic, complemented
22#19144889C211yesmaximal, characteristic, complemented
23#19144854C211yesmaximal, characteristic, complemented
24#19144850C211yesmaximal, characteristic, complemented
25#19144750C211yesmaximal, characteristic, complemented
26#19144750C211yesmaximal, characteristic, complemented
27#19143565C211yesmaximal, characteristic, complemented
28#19143439C211yesmaximal, characteristic, complemented
29#19143435C211yesmaximal, characteristic, complemented
30#135×Dic43C211yesmaximal, characteristic, complemented
31C43×#3269C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33Q8×Dic86C2211yescharacteristic
34#14583624C2211yescharacteristic
35#14583620—21no—
36#14583620C2211yescharacteristic
37#14583619—21no—
38#14583619C2211yescharacteristic
39#14583618—21no—
40#14583618C2211yescharacteristic
41#14583613—21no—
42#14583613C2211yescharacteristic
43#14583608C2211yescharacteristic
44#14583607C2211yescharacteristic
45#14583592—21no—
46#14583589C2211yescharacteristic
47#14583586—21no—
48#14583586—21no—
49#14583584—21no—
50#14583583C2211yescharacteristic
51Q8×C22⋊D43C2211yescharacteristic
52#14583556C2211yescharacteristic
53#14583548C2211yescharacteristic
54#14583548C2211yescharacteristic
55#14583518—21no—
56#14583518C2211yescharacteristic
57#14583516—21no—
58#14583516C2211yescharacteristic
59#14583510C2211yescharacteristic
60#14583509C2211yescharacteristic
61#14583494—21no—
62#14583493—21no—
63#14583451—21no—
64#14583451C2211yescharacteristic
65#14583451C2211yescharacteristic
66#14583429—21no—
67#14583429C2211yescharacteristic
68#14583426—21no—
69C2×#13063315—21no—
70#14583382C2211yescharacteristic
71#14583378C2211yescharacteristic
72#14583377C2211yescharacteristic
73#14583375C2211yescharacteristic
74#41×Dic43C2211yescharacteristic
75#41×Dic43C2211yescharacteristic
76#14583308C2211yescharacteristic
77#14583307C2211yescharacteristic
78#14583303C2211yescharacteristic
79#14583290C2211yescharacteristic
80#14583277C2211yescharacteristic
81#14583253C2211yescharacteristic
82#14583252C2211yescharacteristic
83#14583249C2211yescharacteristic
84#14583248C2211yescharacteristic
85#14583248C2211yescharacteristic
86#14583248C2211yescharacteristic
87#14583241C2211yescharacteristic
88#14583241C2211yescharacteristic
89#14583241C2211yescharacteristic
90#14583239C2211yescharacteristic
91#14583238C2211yescharacteristic
92#14583237C2211yescharacteristic
93#14583237C2211yescharacteristic
94#14583237C2211yescharacteristic
95#14583235C2211yescharacteristic
96#14583233C2211yescharacteristic
97#14583211C2211yescharacteristic
98#14583210C2211yescharacteristic
99#14583208C2211yescharacteristic
100#14583207C2211yescharacteristic
101#14583206C2211yescharacteristic
102#14583204C2211yescharacteristic
103#14583195C2211yescharacteristic
104#14583192C2211yescharacteristic
105#14583192C2211yescharacteristic
106#14583192C2211yescharacteristic
107#14583187C2211yescharacteristic
108#14583187C2211yescharacteristic
109#14583179C2211yescharacteristic
110#14583177C2211yescharacteristic
111#14583157C2211yescharacteristic
112#14583154C2211yescharacteristic
113#14583142C2211yescharacteristic
114#14583140C2211yescharacteristic
115#14583138C2211yescharacteristic
116#14583138C2211yescharacteristic
117#14583138C2211yescharacteristic
118#14583137C2211yescharacteristic
119#14583126C2211yescharacteristic
120#14583125C2211yescharacteristic
121#14583119C2211yescharacteristic
122#14583118C2211yescharacteristic
123#14583112C2211yescharacteristic
124#14583107C2211yescharacteristic
125#14583107C2211yescharacteristic
126#14583107C2211yescharacteristic
127#14583107C2211yescharacteristic
128#14583106C2211yescharacteristic
129#14583102C2211yescharacteristic
130#14583102C2211yescharacteristic
131#14583061C2211yescharacteristic
132#14583061C2211yescharacteristic
133#14583061C2211yescharacteristic
134#14583058C2211yescharacteristic
135#14583055C2211yescharacteristic
136#14583053C2211yescharacteristic
137#14583053C2211yescharacteristic
138#14583041C2211yescharacteristic
139#14583027C2211yescharacteristic
140#14583023C2211yescharacteristic
141#14583007C2211yescharacteristic
142#14583006C2211yescharacteristic
143#14583006C2211yescharacteristic
144#14583006C2211yescharacteristic
145#14583003C2211yescharacteristic
146#14583003C2211yescharacteristic
147#14583000C2211yescharacteristic
148#14583000C2211yescharacteristic
149#14583000C2211yescharacteristic
150#14582996C2211yescharacteristic
151#14582996C2211yescharacteristic
152Q16×Dic43C2211yescharacteristic
153Q16×Dic43C2211yescharacteristic
154Q16×Dic43C2211yescharacteristic
155Q16×Dic43C2211yescharacteristic
156#14582993C2211yescharacteristic
157C4×#10621885C2211yescharacteristic
158#14582991C2211yescharacteristic
159#14582991C2211yescharacteristic
160SD16×Dic43C2211yescharacteristic
161SD16×Dic43C2211yescharacteristic
162SD16×Dic43C2211yescharacteristic
163SD16×Dic43C2211yescharacteristic
164SD16×Dic43C2211yescharacteristic
165C4×#10621883C2211yescharacteristic
166D8×Dic43C2211yescharacteristic
167D8×Dic43C2211yescharacteristic
168#14582975C2211yescharacteristic
169#14582970C2211yescharacteristic
170D4×C43⋊C8C2211yescharacteristic
171(C22⋊D43)⋊C8C2211yescharacteristic
172(C22⋊D43)⋊C8C2211yescharacteristic
173#14582959C2211yescharacteristic
174#14582957C2211yescharacteristic
175#14582953C2211yescharacteristic
176#14582941C2211yescharacteristic
177#14582940C2211yescharacteristic
178#14582937C2211yescharacteristic
179#14582895C2211yescharacteristic
180#14582895C2211yescharacteristic
181#14582895C2211yescharacteristic
182#14582892C2211yescharacteristic
183C2×#13063249C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582857C2211yescharacteristic
186#14582856C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic
188C2×#137×C43C2211yescharacteristic
189C2×#135×C43C2211yescharacteristic
190C43×#548C2211yescharacteristic
191C43×#547C2211yescharacteristic
192C43×#497C2211yescharacteristic
193C43×#468C2211yescharacteristic
194C43×#467C2211yescharacteristic
195C43×#463C2211yescharacteristic
196C43×#462C2211yescharacteristic
197C43×#452C2211yescharacteristic
198C43×#452C2211yescharacteristic
199C43×#451C2211yescharacteristic
200C43×#449C2211yescharacteristic
201C43×#440C2211yescharacteristic
202C43×#435C2211yescharacteristic
203C2×#10621900C2311yescharacteristic
204C2×Q8×D43C2311yescharacteristic
205#13063354—24no—
206C2×Dic172C2311yescharacteristic
207C2×#10621885C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210C2×#10621885C2311yescharacteristic
211C2×#10621883C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C22×C43⋊C8C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216C2×C8×D43C2311yescharacteristic
217#13063325—21no—
218#13063325C2311yescharacteristic
219#13063324—21no—
220#13063324—21no—
221#13063324C2311yescharacteristic
222#13063324C2311yescharacteristic
223#13063324C2311yescharacteristic
224#13063323—21no—
225#13063323C2311yescharacteristic
226#13063323C2311yescharacteristic
227#13063323C2311yescharacteristic
228#13063320—21no—
229#13063320—21no—
230#13063320—21no—
231#13063320D411yescharacteristic
232#13063318—21no—
233#13063318—21no—
234#13063318—21no—
235#13063318—21no—
236#13063318—21no—
237#13063318—21no—
238#13063318—21no—
239#13063318—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318D411yescharacteristic
244#13063317C2311yescharacteristic
245#13063316—21no—
246#13063316—21no—
247#13063316C2311yescharacteristic
248#13063315—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315D411yescharacteristic
259#13063312—21no—
260#13063312—21no—
261#13063312—21no—
262#13063312—21no—
263#13063312C2311yescharacteristic
264#13063311—21no—
265#13063311—21no—
266#13063311—21no—
267#13063311D411yescharacteristic
268#13063309—21no—
269#13063309D411yescharacteristic
270#13063308—21no—
271#13063308—21no—
272#13063307—21no—
273#13063306—21no—
274#13063306—21no—
275#13063306—21no—
276#13063306—21no—
277#13063306D411yescharacteristic
278#13063305—21no—
279#13063304—21no—
280#13063304—21no—
281#13063304—21no—
282#13063304C2311yescharacteristic
283#13063304C2311yescharacteristic
284#13063304C2311yescharacteristic
285#13063304C2311yescharacteristic
286#13063302—21no—
287#13063302—21no—
288#13063302—21no—
289#13063302—21no—
290#13063302—21no—
291#13063302—21no—
292#13063302—21no—
293#13063302—21no—
294#13063302D411yescharacteristic
295#13063301—21no—
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298#13063301C2311yescharacteristic
299#13063297—21no—
300#13063297—21no—
301#13063297—21no—
302#13063297D411yescharacteristic
303#13063296—21no—
304#13063296C2311yescharacteristic
305Q8×Dic43—21no—
306Q8×Dic43—21no—
307Q8×Dic43C2311yescharacteristic
308Q8×Dic43C2311yescharacteristic
309Q8×Dic43C2311yescharacteristic
310Q8×Dic43C2311yescharacteristic
311Q8×Dic43C2311yescharacteristic
312Q8×Dic43C2311yescharacteristic
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290C2311yescharacteristic
328#13063290C2311yescharacteristic
329D4×Dic43—21no—
330D4×Dic43—21no—
331D4×Dic43—21no—
332D4×Dic43—21no—
333D4×Dic43—21no—
334D4×Dic43—21no—
335D4×Dic43C2311yescharacteristic
336D4×Dic43C2311yescharacteristic
337D4×Dic43C2311yescharacteristic
338D4×Dic43C2311yescharacteristic
339D4×Dic43C2311yescharacteristic
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43C2311yescharacteristic
344C4×C22⋊D43C2311yescharacteristic
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347#13063284—21no—
348#13063284—21no—
349#13063284—21no—
350#13063284—21no—
351#13063284—21no—
352#13063284C2311yescharacteristic
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063284C2311yescharacteristic
356#13063283—21no—
357#13063283—21no—
358#13063283C2311yescharacteristic
359#13063282—21no—
360#13063282C2311yescharacteristic
361#13063281—21no—
362#13063281—21no—
363#13063281—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367C2×C4⋊Dic43—21no—
368C2×C4⋊Dic43C2311yescharacteristic
369C2×Dic43⋊C4—21no—
370C2×Dic43⋊C4—21no—
371C2×Dic43⋊C4—21no—
372C2×Dic43⋊C4—21no—
373C4⋊C4×D43C2311yescharacteristic
374C2×C4×Dic43—21no—
375C2×C4×Dic43—21no—
376C2×C4×Dic43C2311yescharacteristic
377#13063259C2311yescharacteristic
378#13063259C2311yescharacteristic
379#13063259C2311yescharacteristic
380#13063259C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063258C2311yescharacteristic
383#13063258C2311yescharacteristic
384#13063258C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063257C2311yescharacteristic
387#13063257C2311yescharacteristic
388#13063257C2311yescharacteristic
389#13063257C2311yescharacteristic
390#13063256C2311yescharacteristic
391#13063256C2311yescharacteristic
392C4⋊(C43⋊C8)C2311yescharacteristic
393Dic43⋊C8C2311yescharacteristic
394Dic43⋊C8C2311yescharacteristic
395Dic43⋊C8C2311yescharacteristic
396Dic43⋊C8C2311yescharacteristic
397#13063250C2311yescharacteristic
398#13063250C2311yescharacteristic
399#13063250C2311yescharacteristic
400#13063250C2311yescharacteristic
401#13063250C2311yescharacteristic
402#13063250C2311yescharacteristic
403#13063249C2311yescharacteristic
404#13063249C2311yescharacteristic
405#13063249C2311yescharacteristic
406#13063249C2311yescharacteristic
407#13063249C2311yescharacteristic
408#13063249C2311yescharacteristic
409#13063249C2311yescharacteristic
410#13063249C2311yescharacteristic
411#13063249C2311yescharacteristic
412#13063249C2311yescharacteristic
413#13063249C2311yescharacteristic
414#13063249C2311yescharacteristic
415#13063248C2311yescharacteristic
416#13063248C2311yescharacteristic
417#13063246C2311yescharacteristic
418#13063246C2311yescharacteristic
419#13063246C2311yescharacteristic
420#13063246C2311yescharacteristic
421#13063246C2311yescharacteristic
422#13063246C2311yescharacteristic
423C22⋊(C43⋊C8)C2311yescharacteristic
424C22⋊(C43⋊C8)C2311yescharacteristic
425(C2×D43)⋊C8C2311yescharacteristic
426(C2×D43)⋊C8C2311yescharacteristic
427#13063235C2311yescharacteristic
428#13063235C2311yescharacteristic
429#13063235C2311yescharacteristic
430C4×C43⋊C8C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C8×Dic43C2311yescharacteristic
436C2×#41×C43C2311yescharacteristic
437C2×#41×C43C2311yescharacteristic
438C2×#41×C43C2311yescharacteristic
439C22×Q8×C43C2311yescharacteristic
440#137×C43—24no—
441#135×C43—24no—
442C2×Q16×C43C2311yescharacteristic
443C2×Q16×C43C2311yescharacteristic
444C2×Q16×C43C2311yescharacteristic
445C2×Q16×C43C2311yescharacteristic
446C2×SD16×C43C2311yescharacteristic
447C2×SD16×C43C2311yescharacteristic
448C2×SD16×C43C2311yescharacteristic
449C2×SD16×C43C2311yescharacteristic
450C2×D8×C43C2311yescharacteristic
451C2×M16×C43C2311yescharacteristic
452C22×C8×C43C2311yescharacteristic
453C4⋊Q8×C43C2311yescharacteristic
454#124×C43—21no—
455#124×C43C2311yescharacteristic
456#123×C43—21no—
457#123×C43—21no—
458C22⋊Q8×C43—21no—
459C22⋊Q8×C43C2311yescharacteristic
460C22⋊Q8×C43C2311yescharacteristic
461C22⋊Q8×C43C2311yescharacteristic
462#121×C43—21no—
463#121×C43—21no—
464#121×C43C2311yescharacteristic
465C4×Q8×C43C2311yescharacteristic
466C4×D4×C43—21no—
467C4×D4×C43C2311yescharacteristic
468C4×D4×C43C2311yescharacteristic
469C2×C4⋊C4×C43—21no—
470#107×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#41×C43—22no—
482#41×C43—22no—
483#41×C43—22no—
484#41×C43—41no—
485#41×C43—41no—
486#41×C43—41no—
487C2×Q8×C43—21no—
488C2×Q8×C43—22no—
489C2×Q8×C43—41no—
490C2×Q8×C43C2411yescharacteristic
491C2×Q8×C43C2411yescharacteristic
492C2×Q8×C43C2411yescharacteristic
493C2×Q8×C43C2411yescharacteristic
494C2×D4×C43—21no—
495C2×D4×C43—21no—
496C2×D4×C43—21no—
497C2×D4×C43—21no—
498C2×D4×C43C2×D411yescharacteristic
499C2×D4×C43C2411yescharacteristic
500C2×D4×C43C2411yescharacteristic
501C22×C4×C43—21no—
502C22×C4×C43—21no—
503C22×C4×C43—21no—
504C22×C4×C43—21no—
505C22×C4×C43—21no—
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
508C2×C22⋊D43—21no—
509C2×C22⋊D43—21no—
510C2×C22⋊D43C2×D411yescharacteristic
511C2×C22⋊D43C2×D411yescharacteristic
512C22×Dic43—21no—
513C22×Dic43—21no—
514C22×Dic43—21no—
515C22×Dic43—21no—
516C22×Dic43—21no—
517C22×Dic43—21no—
518C22×Dic43—21no—
519C22×Dic43C2×D411yescharacteristic
520C22×Dic43C2×D411yescharacteristic
521Q8×D43—22no—
522Q8×D43—41no—
523#10621900—22no—
524#10621900—41no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43C2411yescharacteristic
528C2×Dic86—21no—
529C2×Dic86—21no—
530C2×Dic86—21no—
531C2×Dic86—21no—
532C2×Dic86—21no—
533C2×Dic86C2×D411yescharacteristic
534C2×Dic86C2411yescharacteristic
535C2×Dic86C2411yescharacteristic
536Q16×C43—22no—
537Q16×C43—22no—
538Q16×C43—22no—
539Q16×C43—41no—
540SD16×C43—22no—
541SD16×C43—22no—
542SD16×C43—41no—
543SD16×C43#4114yes—
544D8×C43—22no—
545M16×C43—22no—
546C2×C8×C43—22no—
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C2×C8×C43C2411yescharacteristic
550C2×C8×C43C2411yescharacteristic
551C4⋊C4×C43—21no—
552C4⋊C4×C43—21no—
553C4⋊C4×C43—21no—
554C4⋊C4×C43—21no—
555C4⋊C4×C43—21no—
556C4⋊C4×C43—21no—
557C4⋊C4×C43C2×D411yescharacteristic
558C4⋊C4×C43C2411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C22⋊C4×C43—21no—
561C22⋊C4×C43—21no—
562C22⋊C4×C43—21no—
563C22⋊C4×C43—21no—
564C22⋊C4×C43—21no—
565C22⋊C4×C43—21no—
566C22⋊C4×C43—21no—
567C22⋊C4×C43C2×D411yescharacteristic
568C22⋊C4×C43C2×D411yescharacteristic
569C42×C43—21no—
570C42×C43C2411yescharacteristic
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⋊Dic43C2×D411yescharacteristic
587C22⋊Dic43C2×D411yescharacteristic
588C22⋊Dic43C2×D411yescharacteristic
589C22⋊Dic43C2×D411yescharacteristic
590#10621885—22no—
591#10621885—41no—
592#10621885—41no—
593#10621885—41no—
594#10621883—22no—
595#10621883—41no—
596(C2×D43)⋊C4—21no—
597(C2×D43)⋊C4—21no—
598(C2×D43)⋊C4—21no—
599(C2×D43)⋊C4—21no—
600(C2×D43)⋊C4C2×D411yescharacteristic
601(C2×D43)⋊C4C2×D411yescharacteristic
602(C2×D43)⋊C4C2×D411yescharacteristic
603(C2×D43)⋊C4C2×D411yescharacteristic
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—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⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
624C4⋊Dic43C2411yescharacteristic
625Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
650Dic43⋊C4C2×D411yescharacteristic
651Dic43⋊C4C2×D411yescharacteristic
652Dic43⋊C4C2×D411yescharacteristic
653Dic43⋊C4C2×D411yescharacteristic
654Dic43⋊C4C2×D411yescharacteristic
655C4×Dic43—21no—
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×Dic43C2×D411yescharacteristic
673C4×Dic43C2×D411yescharacteristic
674C4×Dic43C2411yescharacteristic
675C4×Dic43C2411yescharacteristic
676C4×Dic43C2411yescharacteristic
677C2×C43⋊C8—41no—
678C2×C43⋊C8—41no—
679C2×C43⋊C8C2411yescharacteristic
680C2×C43⋊C8C2411yescharacteristic
681C2×C43⋊C8C2411yescharacteristic
682C2×C43⋊C8C2411yescharacteristic
683Dic172—22no—
684#10621872—22no—
685C8×D43—41no—
686C23×C43—21no—
687C23×C43—21no—
688C23×C43C22×D411yescharacteristic
689C23×C43C22×D411yescharacteristic
690C22×D43C22×D411yescharacteristic
691Q8×C43—21no—
692Q8×C43—21no—
693Q8×C43—21no—
694Q8×C43—21no—
695Q8×C43—21no—
696Q8×C43—21no—
697Q8×C43—21no—
698Q8×C43—42no—
699Q8×C43C2×#4112yes—
700D4×C43—21no—
701D4×C43—21no—
702D4×C43—21no—
703D4×C43—41no—
704D4×C43—42no—
705D4×C43—42no—
706D4×C43—42no—
707D4×C43—81no—
708D4×C43C2×#4112yes—
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—42no—
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—41no—
731C22⋊D43—42no—
732C22⋊D43—81no—
733C2×Dic43—22no—
734C2×Dic43—21no—
735C2×Dic43—21no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—21no—
741C2×Dic43—21no—
742C2×Dic43—41no—
743C2×Dic43—42no—
744C2×Dic43—42no—
745C2×Dic43—42no—
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
757C4×D43—21no—
758C4×D43—21no—
759C4×D43—42no—
760C4×D43—81no—
761Dic86—22no—
762Dic86—21no—
763Dic86—21no—
764Dic86—21no—
765Dic86—21no—
766Dic86—42no—
767Dic86—81no—
768Dic86—81no—
769Dic86—81no—
770Dic86—81no—
771C8×C43—21no—
772C8×C43—21no—
773C8×C43—21no—
774C8×C43C2×#4112yes—
775C43⋊C8—21no—
776C43⋊C8—21no—
777C43⋊C8—21no—
778C43⋊C8—21no—
779#61492—431nomaximal, Sylow
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—22no—
783C22×C43—21no—
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×C43C23×D411yescharacteristic
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C4×C43—21no—
797C4×C43—22no—
798C4×C43—21no—
799C4×C43—21no—
800C4×C43—21no—
801C4×C43—41no—
802C4×C43—41no—
803C4×C43—41no—
804C4×C43—41no—
805C4×C43—41no—
806C4×C43C22×#4111yescharacteristic
807C4×C43#58511yescharacteristic
808Dic43—21no—
809Dic43—21no—
810Dic43—21no—
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43—41no—
822Dic43#57812yes—
823#3518—431no—
824#3515—431no—
825#3398—431no—
826#3385—431no—
827#3363—431no—
828#3360—431no—
829#3357—431no—
830#3349—431no—
831#3349—431no—
832#3303—431no—
833#3302—431no—
834#3302—431no—
835#3300—431no—
836#3300—431no—
837#3299—431no—
838#3276—431no—
839#3269—431no—
840#3269D4311yescharacteristic, complemented
841#3178—431no—
842#3178—431no—
843#3170—431no—
844#3127—431no—
845#3127—431no—
846#3124—431no—
847#3124—431no—
848#3116—431no—
849#3116—431no—
850#2966—431no—
851#2947—431no—
852#2947—431no—
853C4×#135—431no—
854C2×C43—41no—
855C2×C43—41no—
856C2×C43—42no—
857C2×C43—81no—
858C2×C43D4×#4111yescharacteristic
859C2×C43C2×#57811yescharacteristic
860C2×C43#358411yescharacteristic
861D43—41no—
862C2×#137—431no—
863C2×#137C2×D4311yescharacteristic
864C2×#135C2×D4311yescharacteristic
865Q82—431no—
866#557—431no—
867#556—431no—
868#556—431no—
869#556—431no—
870#556—861no—
871#556—861no—
872#556—861no—
873#555—431no—
874#555—861no—
875#554—431no—
876#554—431no—
877#553—861no—
878#552—431no—
879#552—431no—
880#552—861no—
881#552—861no—
882#552—861no—
883D4×Q8—431no—
884#548—431no—
885#548C2×D4311yescharacteristic
886#547—431no—
887#547—431no—
888#547C2×D4311yescharacteristic
889#542—431no—
890#542—431no—
891#542—861no—
892#542—861no—
893#541—431no—
894#541—431no—
895#539—861no—
896#539—861no—
897#533—431no—
898#533—431no—
899#533—861no—
900#529—431no—
901#529—861no—
902#529—861no—
903C2×#125—861no—
904#520—431no—
905#520—431no—
906#519—431no—
907#519—431no—
908C4×#41—431no—
909C4×#41—431no—
910#501—431no—
911#501—431no—
912#500—431no—
913#497—431no—
914#497C2×D4311yescharacteristic
915#494—431no—
916#488—431no—
917#488—431no—
918#487—431no—
919#487—431no—
920#487—431no—
921#487—431no—
922#485—431no—
923#485—431no—
924#485—431no—
925#485—431no—
926#485—431no—
927#485—431no—
928#485—431no—
929#485—431no—
930#484—431no—
931#484—431no—
932#480—431no—
933#480—431no—
934#479—431no—
935#479—431no—
936#479—431no—
937#479—431no—
938#477—431no—
939#477—431no—
940#477—431no—
941#477—431no—
942#476—431no—
943#476—431no—
944#474—431no—
945#474—431no—
946#470—431no—
947#470—431no—
948#468—431no—
949#468C2×D4311yescharacteristic
950#467—431no—
951#467—431no—
952#467—431no—
953#467—431no—
954#467—431no—
955#467C2×D4311yescharacteristic
956#465—431no—
957#465—431no—
958#464—431no—
959#464—431no—
960#463—431no—
961#463C2×D4311yescharacteristic
962#462—431no—
963#462—431no—
964#462—431no—
965#462—431no—
966#462—431no—
967#462C2×D4311yescharacteristic
968#461—431no—
969#461—431no—
970#452—431no—
971#452—431no—
972#452—431no—
973#452—431no—
974#452C2×D4311yescharacteristic
975#452C2×D4311yescharacteristic
976#451—431no—
977#451—431no—
978#451—431no—
979#451C2×D4311yescharacteristic
980#449—431no—
981#449C2×D4311yescharacteristic
982#446—431no—
983C8×Q8—431no—
984#441—431no—
985#441—431no—
986#441—431no—
987#441—431no—
988#441—431no—
989#441—431no—
990#440—431no—
991#440—431no—
992#440—431no—
993#440—431no—
994#440—431no—
995#440C2×D4311yescharacteristic
996C4×Q16—431no—
997C4×Q16—431no—
998C4×Q16—431no—
999C4×Q16—431no—
1000C4×Q16—431no—
1001C4×Q16—431no—
1002C4×Q16—431no—
1003C4×Q16—431no—
1004C4×SD16—431no—
1005C4×SD16—431no—
1006C4×SD16—431no—
1007C4×SD16—431no—
1008C4×SD16—431no—
1009C4×SD16—431no—
1010C4×D8—431no—
1011C4×D8—431no—
1012#436—431no—
1013#435—431no—
1014#435C2×D4311yescharacteristic
1015C8×D4—431no—
1016C8×D4—431no—
1017C8×D4—431no—
1018#433—431no—
1019#433—431no—
1020#432—431no—
1021#428—431no—
1022#428—431no—
1023#427—431no—
1024#416—431no—
1025#416—431no—
1026#416—431no—
1027#416—431no—
1028C2×#103—431no—
1029C2×#103—431no—
1030#405—431no—
1031#405—431no—
1032C2×C4×C8—431no—
1033C43#6149211yescharacteristic, complemented, Sylow
1034C2×#41—431no—
1035C2×#41C22×D4311yescharacteristic
1036C2×#41C22×D4311yescharacteristic
1037C2×#41C22×D4311yescharacteristic
1038C22×Q8—431no—
1039C22×Q8C22×D4311yescharacteristic
1040#137—24no—
1041#137—864no—
1042#135—24no—
1043C2×Q16—431no—
1044C2×Q16—431no—
1045C2×Q16—431no—
1046C2×Q16—431no—
1047C2×Q16—431no—
1048C2×Q16C22×D4311yescharacteristic
1049C2×Q16C22×D4311yescharacteristic
1050C2×Q16C22×D4311yescharacteristic
1051C2×Q16C22×D4311yescharacteristic
1052C2×SD16—431no—
1053C2×SD16—431no—
1054C2×SD16C22×D4311yescharacteristic
1055C2×SD16C22×D4311yescharacteristic
1056C2×SD16C22×D4311yescharacteristic
1057C2×SD16C22×D4311yescharacteristic
1058C2×D8C22×D4311yescharacteristic
1059C2×M16—431no—
1060C2×M16C22×D4311yescharacteristic
1061C22×C8—431no—
1062C22×C8—431no—
1063C22×C8—431no—
1064C22×C8C22×D4311yescharacteristic
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—431no—
1068C4⋊Q8—431no—
1069C4⋊Q8—431no—
1070C4⋊Q8—431no—
1071C4⋊Q8—431no—
1072C4⋊Q8—861no—
1073C4⋊Q8—861no—
1074C4⋊Q8—861no—
1075C4⋊Q8—861no—
1076C4⋊Q8C22×D4311yescharacteristic
1077#126—431no—
1078#126—431no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#126—861no—
1086#126—861no—
1087#126—861no—
1088#126—861no—
1089#126—861no—
1090#126—861no—
1091#126—861no—
1092#126—861no—
1093#125—431no—
1094#125—431no—
1095#125—431no—
1096#125—861no—
1097#125—861no—
1098#125—861no—
1099#125—861no—
1100#125—861no—
1101#125—861no—
1102#125—861no—
1103#125—861no—
1104#125—861no—
1105#125—861no—
1106#125—861no—
1107#125—861no—
1108#124—21no—
1109#124—431no—
1110#124—431no—
1111#124—861no—
1112#124—861no—
1113#124—861no—
1114#124—861no—
1115#124—861no—
1116#124—861no—
1117#124—861no—
1118#124C22×D4311yescharacteristic
1119#123—21no—
1120#123—21no—
1121#123—431no—
1122#123—431no—
1123#123—861no—
1124#123—861no—
1125#123—861no—
1126#123—861no—
1127#123—861no—
1128#123—861no—
1129#123—861no—
1130#123—861no—
1131C22⋊Q8—21no—
1132C22⋊Q8—431no—
1133C22⋊Q8—431no—
1134C22⋊Q8—431no—
1135C22⋊Q8—431no—
1136C22⋊Q8—431no—
1137C22⋊Q8—431no—
1138C22⋊Q8—431no—
1139C22⋊Q8—431no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8—861no—
1144C22⋊Q8—861no—
1145C22⋊Q8—861no—
1146C22⋊Q8—861no—
1147C22⋊Q8—861no—
1148C22⋊Q8—861no—
1149C22⋊Q8—861no—
1150C22⋊Q8—861no—
1151C22⋊Q8—861no—
1152C22⋊Q8—861no—
1153C22⋊Q8C22×D4311yescharacteristic
1154C22⋊Q8C22×D4311yescharacteristic
1155C22⋊Q8C22×D4311yescharacteristic
1156#121—21no—
1157#121—21no—
1158#121—431no—
1159#121—431no—
1160#121—861no—
1161#121—861no—
1162#121—861no—
1163#121—861no—
1164#121C22×D4311yescharacteristic
1165C4×Q8—431no—
1166C4×Q8—431no—
1167C4×Q8—431no—
1168C4×Q8—431no—
1169C4×Q8—431no—
1170C4×Q8—431no—
1171C4×Q8—431no—
1172C4×Q8—431no—
1173C4×Q8—431no—
1174C4×Q8—431no—
1175C4×Q8—431no—
1176C4×Q8—431no—
1177C4×Q8—431no—
1178C4×Q8—431no—
1179C4×Q8—861no—
1180C4×Q8—861no—
1181C4×Q8—861no—
1182C4×Q8—861no—
1183C4×Q8—861no—
1184C4×Q8—861no—
1185C4×Q8—861no—
1186C4×Q8—861no—
1187C4×Q8—861no—
1188C4×Q8—861no—
1189C4×Q8C22×D4311yescharacteristic
1190C4×D4—21no—
1191C4×D4—431no—
1192C4×D4—431no—
1193C4×D4—431no—
1194C4×D4—431no—
1195C4×D4—431no—
1196C4×D4—431no—
1197C4×D4—431no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4—861no—
1202C4×D4—861no—
1203C4×D4—861no—
1204C4×D4—861no—
1205C4×D4—861no—
1206C4×D4—861no—
1207C4×D4—861no—
1208C4×D4—861no—
1209C4×D4C22×D4311yescharacteristic
1210C4×D4C22×D4311yescharacteristic
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—431no—
1215#117—431no—
1216#117—431no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117—861no—
1221#117—861no—
1222#117—861no—
1223#117—861no—
1224#117—861no—
1225#117—861no—
1226#117—861no—
1227#117—861no—
1228#117—861no—
1229#117—861no—
1230#117—861no—
1231C2×C4⋊C4—21no—
1232C2×C4⋊C4—431no—
1233C2×C4⋊C4—431no—
1234C2×C4⋊C4—861no—
1235C2×C4⋊C4—861no—
1236C2×C4⋊C4—861no—
1237C2×C4⋊C4—861no—
1238C2×C4⋊C4—861no—
1239C2×C42—431no—
1240C2×C42—861no—
1241C2×C42—861no—
1242#107—431no—
1243#107—431no—
1244#107—431no—
1245#107—431no—
1246#107—431no—
1247#107—431no—
1248#107—431no—
1249#107—431no—
1250#107—431no—
1251#107C22×D4311yescharacteristic
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8—431no—
1262C4⋊C8—431no—
1263C4⋊C8C22×D4311yescharacteristic
1264#103—431no—
1265#103—431no—
1266#103—431no—
1267#103—431no—
1268#103—431no—
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#103—431no—
1282#103—431no—
1283#103—431no—
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286#103C22×D4311yescharacteristic
1287#103C22×D4311yescharacteristic
1288#102—431no—
1289#102—431no—
1290#102—431no—
1291#102—431no—
1292#102—431no—
1293#102—431no—
1294#102C22×D4311yescharacteristic
1295#102C22×D4311yescharacteristic
1296C22⋊C8—431no—
1297C22⋊C8—431no—
1298C22⋊C8—431no—
1299C22⋊C8—431no—
1300C22⋊C8C22×D4311yescharacteristic
1301C22⋊C8C22×D4311yescharacteristic
1302#97—431no—
1303#97—431no—
1304#97—431no—
1305#97C22×D4311yescharacteristic
1306C4×C8—431no—
1307C4×C8—431no—
1308C4×C8—431no—
1309C4×C8—431no—
1310C4×C8—431no—
1311C4×C8—431no—
1312#41—22no—
1313#41—22no—
1314#41—22no—
1315#41—41no—
1316#41—41no—
1317#41—41no—
1318#41—862no—
1319#41—1721no—
1320C2×Q8—21no—
1321C2×Q8—22no—
1322C2×Q8—41no—
1323C2×Q8—431no—
1324C2×Q8—431no—
1325C2×Q8—431no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×Q8—861no—
1330C2×Q8—861no—
1331C2×Q8—862no—
1332C2×Q8—1721no—
1333C2×Q8C23×D4311yescharacteristic
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×Q8C23×D4311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—21no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—861no—
1344C2×D4—861no—
1345C2×D4D4×D4311yescharacteristic
1346C2×D4C23×D4311yescharacteristic
1347C2×D4C23×D4311yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—431no—
1354C22×C4—431no—
1355C22×C4—431no—
1356C22×C4—861no—
1357C22×C4—861no—
1358C22×C4—861no—
1359C22×C4—861no—
1360C22×C4—861no—
1361C22×C4—861no—
1362C22×C4—861no—
1363C22×C4—861no—
1364C22×C4—861no—
1365C22×C4C23×D4311yescharacteristic
1366C22×C4C23×D4311yescharacteristic
1367Q16—22no—
1368Q16—22no—
1369Q16—22no—
1370Q16—41no—
1371Q16—862no—
1372Q16—862no—
1373Q16—1721no—
1374Q16—1721no—
1375Q16—1721no—
1376SD16—22no—
1377SD16—22no—
1378SD16—41no—
1379SD16—862no—
1380SD16—1721no—
1381SD16#1062190014yes—
1382D8—22no—
1383M16—22no—
1384M16—862no—
1385C2×C8—22no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—431no—
1390C2×C8—1721no—
1391C2×C8—1721no—
1392C2×C8—1721no—
1393C2×C8C23×D4311yescharacteristic
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C2×C8C23×D4311yescharacteristic
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
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—861no—
1419C4⋊C4—861no—
1420C4⋊C4—861no—
1421C4⋊C4—861no—
1422C4⋊C4—861no—
1423C4⋊C4—861no—
1424C4⋊C4—861no—
1425C4⋊C4—861no—
1426C4⋊C4—861no—
1427C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1455C4⋊C4C23×D4311yescharacteristic
1456C4⋊C4C23×D4311yescharacteristic
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—431no—
1465C22⋊C4—431no—
1466C22⋊C4—431no—
1467C22⋊C4—431no—
1468C22⋊C4—431no—
1469C22⋊C4—431no—
1470C22⋊C4—431no—
1471C22⋊C4—431no—
1472C22⋊C4—861no—
1473C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1492C22⋊C4D4×D4311yescharacteristic
1493C42—21no—
1494C42—431no—
1495C42—431no—
1496C42—431no—
1497C42—431no—
1498C42—431no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42—861no—
1511C42—861no—
1512C42—861no—
1513C42—861no—
1514C42—861no—
1515C42—861no—
1516C42C23×D4311yescharacteristic
1517C23—21no—
1518C23—21no—
1519C23—431no—
1520C23C2×D4×D4311yescharacteristic
1521C23C2×D4×D4311yescharacteristic
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—42no—
1530Q8—862no—
1531Q8—861no—
1532Q8—861no—
1533Q8—861no—
1534Q8—861no—
1535Q8—3441no—
1536Q8—3441no—
1537Q8—3441no—
1538Q8—3441no—
1539Q8—1722no—
1540Q8C2×#1062190012yes—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—41no—
1545D4—42no—
1546D4—42no—
1547D4—42no—
1548D4—81no—
1549D4—862no—
1550D4—3441no—
1551D4—1721no—
1552D4—1722no—
1553D4C2×#1062190012yes—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—42no—
1565C2×C4—42no—
1566C2×C4—42no—
1567C2×C4—42no—
1568C2×C4—81no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—431no—
1572C2×C4—431no—
1573C2×C4—431no—
1574C2×C4—431no—
1575C2×C4—431no—
1576C2×C4—862no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—861no—
1585C2×C4—861no—
1586C2×C4—861no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—1722no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4—1721no—
1596C2×C4—1722no—
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C2×D4×D4311yescharacteristic
1601C2×C4C24×D4311yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8—861no—
1609C8C2×#1062190012yes—
1610C22—21no—
1611C22—21no—
1612C22—22no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—861no—
1623C22—861no—
1624C22—861no—
1625C22C22×D4×D4311yescharacteristic
1626C4—21no—
1627C4—21no—
1628C4—22no—
1629C4—21no—
1630C4—21no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—432no—
1637C4—861no—
1638C4—861no—
1639C4—861no—
1640C4—861no—
1641C4—861no—
1642C4—861no—
1643C4—1721no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4C22×#1062190011yescharacteristic
1652C4#1458373411yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—42no—
1656C2—81no—
1657C2—1721no—
1658C2D4×#1062190011yescharacteristic
1659C2#578×D4311yescharacteristic
1660C2#1914936811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3269C2
socleC22×C43C23×D4
hypercenter#3269D43
hypocenterC43#61492
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #19148603C2semidirect
2. #19148560C2semidirect
3. #19147623C2semidirect
4. #19147506C2semidirect
5. #19147268C2semidirect
6. #19147239C2semidirect
7. #19147216C2semidirect
8. #19147131C2semidirect
9. #19147127C2semidirect
10. #19146516C2semidirect
11. #19146512C2semidirect
12. #19146505C2semidirect
13. #19146482C2semidirect
14. #19146475C2semidirect
15. #19146464C2semidirect
16. #19146235C2semidirect
17. #19146150C2semidirect
18. #19145260C2semidirect
19. #19145256C2semidirect
20. #19145176C2semidirect
21. #19144893C2semidirect
22. #19144889C2semidirect
23. #19144854C2semidirect
24. #19144850C2semidirect
25. #19144750C2semidirect
26. #19144750C2semidirect
27. #19143565C2semidirect
28. #19143439C2semidirect
29. #19143435C2semidirect
30. #135×Dic43C2semidirect
31. C43×#3269C2semidirect
840. #3269D43semidirect
1033. C43#61492semidirect

Maximal subgroups

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

subgroupindex
#191486032
#191485602
#191476232
#191475062
#191472682
#191472392
#191472162
#191471312
#191471272
#191465162
#191465122
#191465052
#191464822
#191464752
#191464642
#191462352
#191461502
#191452602
#191452562
#191451762
#191448932
#191448892
#191448542
#191448502
#191447502
#191435652
#191434392
#191434352
#135×Dic432
C43×#32692
#6149243