Finite Group Databasebeta

← #25975965

Subgroups — #25975965

Order 11008.

1796 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148505C211yesmaximal, characteristic
2#19148454C211yesmaximal, characteristic, complemented
3#19147216C211yesmaximal, characteristic, complemented
4#19147214C211yesmaximal, characteristic, complemented
5#19147206C211yesmaximal, characteristic, complemented
6#19147203C211yesmaximal, characteristic, complemented
7#19147127C211yesmaximal, characteristic, complemented
8#19147125C211yesmaximal, characteristic, complemented
9#19147124C211yesmaximal, characteristic, complemented
10#19147122C211yesmaximal, characteristic, complemented
11#19147042C211yesmaximal, characteristic, complemented
12#19147040C211yesmaximal, characteristic, complemented
13#19147029C211yesmaximal, characteristic, complemented
14#19147006C211yesmaximal, characteristic, complemented
15#19147003C211yesmaximal, characteristic, complemented
16#19146985C211yesmaximal, characteristic, complemented
17#19146982C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19144570C211yesmaximal, characteristic, complemented
20#19144568C211yesmaximal, characteristic, complemented
21#19144563C211yesmaximal, characteristic, complemented
22#19144557C211yesmaximal, characteristic, complemented
23#19144380C211yesmaximal, characteristic, complemented
24#477×D43C211yesmaximal, characteristic, complemented
25#19144281C211yesmaximal, characteristic, complemented
26#19144279C211yesmaximal, characteristic, complemented
27#19143417C211yesmaximal, characteristic, complemented
28#19143336C211yesmaximal, characteristic, complemented
29#19143194C211yesmaximal, characteristic, complemented
30#19143191C211yesmaximal, characteristic, complemented
31C43×#3343C211yesmaximal, characteristic, complemented
32C2×#13063354C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×#13063331C2211yescharacteristic
35#14583633—21no—
36#14583626—21no—
37#14583623C2211yescharacteristic
38#14583620C2211yescharacteristic
39#14583619C2211yescharacteristic
40#14583617—21no—
41#14583617C2211yescharacteristic
42#14583616—21no—
43#14583613C2211yescharacteristic
44#14583613C2211yescharacteristic
45#14583607C2211yescharacteristic
46#14583604C2211yescharacteristic
47#14583604C2211yescharacteristic
48#14583604C2211yescharacteristic
49#14583594—21no—
50#14583594—21no—
51#14583590C2211yescharacteristic
52#14583589C2211yescharacteristic
53#14583587C2211yescharacteristic
54#14583559—21no—
55#14583556—21no—
56#14583554C2211yescharacteristic
57#14583517—21no—
58#14583517—21no—
59#14583497—21no—
60#14583492—21no—
61#14583478C2211yescharacteristic
62#14583478C2211yescharacteristic
63#14583472C2211yescharacteristic
64#14583472C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583451—21no—
67#14583446C2211yescharacteristic
68#14583445—21no—
69C4⋊Q8×D43C2211yescharacteristic
70#14583432—21no—
71#14583427—21no—
72#14583380C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583380C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×#10621900C2211yescharacteristic
77C4×Q8×D43C2211yescharacteristic
78#14583309C2211yescharacteristic
79#14583308C2211yescharacteristic
80#14583305C2211yescharacteristic
81#14583303C2211yescharacteristic
82#14583303C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583296C2211yescharacteristic
85#14583243C2211yescharacteristic
86#14583243C2211yescharacteristic
87#14583242C2211yescharacteristic
88#14583242C2211yescharacteristic
89#14583241C2211yescharacteristic
90#14583241C2211yescharacteristic
91#14583241C2211yescharacteristic
92#14583240C2211yescharacteristic
93#14583239C2211yescharacteristic
94#14583238C2211yescharacteristic
95#14583237C2211yescharacteristic
96#14583237C2211yescharacteristic
97#14583236C2211yescharacteristic
98#14583236C2211yescharacteristic
99#14583236C2211yescharacteristic
100#14583235C2211yescharacteristic
101#14583234C2211yescharacteristic
102#14583234C2211yescharacteristic
103#14583233C2211yescharacteristic
104#14583231C2211yescharacteristic
105#14583229C2211yescharacteristic
106#14583228C2211yescharacteristic
107#14583222C2211yescharacteristic
108#14583221C2211yescharacteristic
109#14583220C2211yescharacteristic
110#14583211C2211yescharacteristic
111#14583211C2211yescharacteristic
112#14583210C2211yescharacteristic
113#14583207C2211yescharacteristic
114#14583203C2211yescharacteristic
115#14583199C2211yescharacteristic
116#14583195C2211yescharacteristic
117#14583194C2211yescharacteristic
118#14583193C2211yescharacteristic
119#14583193C2211yescharacteristic
120#14583193C2211yescharacteristic
121#14583192C2211yescharacteristic
122#14583192C2211yescharacteristic
123#14583191C2211yescharacteristic
124#14583187C2211yescharacteristic
125#14583183C2211yescharacteristic
126#14583177C2211yescharacteristic
127#14583158C2211yescharacteristic
128#14583157C2211yescharacteristic
129#14583156C2211yescharacteristic
130#14583155C2211yescharacteristic
131#14583144C2211yescharacteristic
132#14583143C2211yescharacteristic
133#14583142C2211yescharacteristic
134#14583141C2211yescharacteristic
135#14583140C2211yescharacteristic
136#14583139C2211yescharacteristic
137#14583138C2211yescharacteristic
138#14583127C2211yescharacteristic
139#14583126C2211yescharacteristic
140#14583125C2211yescharacteristic
141#14583007C2211yescharacteristic
142#14583004C2211yescharacteristic
143#14582999C2211yescharacteristic
144#14582993C2211yescharacteristic
145#14582991C2211yescharacteristic
146#14582990C2211yescharacteristic
147SD16×Dic43C2211yescharacteristic
148#14582975C2211yescharacteristic
149#14582974C2211yescharacteristic
150#14582972C2211yescharacteristic
151#14582971C2211yescharacteristic
152#14582969C2211yescharacteristic
153C8×C22⋊D43C2211yescharacteristic
154(C22⋊D43)⋊C8C2211yescharacteristic
155#14582941C2211yescharacteristic
156#14582940C2211yescharacteristic
157#14582940C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582939C2211yescharacteristic
163#14582939C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582937C2211yescharacteristic
168#14582936C2211yescharacteristic
169#14582936C2211yescharacteristic
170#14582935C2211yescharacteristic
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic
173C2×#13063258C2211yescharacteristic
174#107×D43C2211yescharacteristic
175#107×D43C2211yescharacteristic
176#107×D43C2211yescharacteristic
177#107×D43C2211yescharacteristic
178C4⋊C8×D43C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582897C2211yescharacteristic
181#14582892C2211yescharacteristic
182#14582892C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#552C2211yescharacteristic
189C43×#547C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#484C2211yescharacteristic
192C43×#483C2211yescharacteristic
193C43×#482C2211yescharacteristic
194C43×#480C2211yescharacteristic
195C43×#478C2211yescharacteristic
196C43×#477C2211yescharacteristic
197C43×#468C2211yescharacteristic
198C43×#465C2211yescharacteristic
199C43×#440C2211yescharacteristic
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C2×#107×C43C2211yescharacteristic
203C2×#10621898—21no—
204C2×#10621898C2311yescharacteristic
205C2×#10621898C2311yescharacteristic
206C2×#10621900C2311yescharacteristic
207C2×Q8×D43—21no—
208C2×Q8×D43C2311yescharacteristic
209#13063354—24no—
210C2×Dic172C2311yescharacteristic
211C2×#10621885C2311yescharacteristic
212C2×#10621883C2311yescharacteristic
213#13063333—24no—
214#13063331—24no—
215C2×#10621877C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C22×C43⋊C8C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225#13063325C2311yescharacteristic
226#13063324—21no—
227#13063324—21no—
228#13063324—21no—
229#13063324D411yescharacteristic
230#13063324C2311yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063323—21no—
235#13063321D411yescharacteristic
236#13063320—21no—
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063319—21no—
241#13063319—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063317C2311yescharacteristic
248#13063316—21no—
249#13063315—21no—
250#13063315—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063314—21no—
256#13063312—21no—
257#13063312—21no—
258#13063312—21no—
259#13063311—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311D411yescharacteristic
266#13063311D411yescharacteristic
267#13063310—21no—
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063307—21no—
272#13063307—21no—
273#13063307—21no—
274#13063307—21no—
275#13063306—21no—
276#13063305—21no—
277#13063305C2311yescharacteristic
278#13063305C2311yescharacteristic
279#13063305C2311yescharacteristic
280#13063305C2311yescharacteristic
281#13063304—21no—
282#13063304—21no—
283#13063304—21no—
284#13063304—21no—
285#13063304C2311yescharacteristic
286#13063304C2311yescharacteristic
287#13063304C2311yescharacteristic
288#13063304C2311yescharacteristic
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063303—21no—
294#13063302—21no—
295#13063302—21no—
296#13063302—21no—
297#13063301C2311yescharacteristic
298#13063301C2311yescharacteristic
299#13063300D411yescharacteristic
300#13063298—21no—
301#13063298—21no—
302#13063298D411yescharacteristic
303#13063298D411yescharacteristic
304#13063297—21no—
305#13063297—21no—
306#13063297—21no—
307#13063297—21no—
308#13063296—21no—
309#13063296—21no—
310#13063296D411yescharacteristic
311#13063296C2311yescharacteristic
312#13063296C2311yescharacteristic
313Q8×Dic43—21no—
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320#13063290—21no—
321#13063290—21no—
322#13063290—21no—
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290C2311yescharacteristic
329#13063290C2311yescharacteristic
330C4×D172—21no—
331C4×D172C2311yescharacteristic
332D4×Dic43C2311yescharacteristic
333#13063287—21no—
334#13063287—21no—
335#13063287—21no—
336C4×C22⋊D43—21no—
337C4×C22⋊D43—21no—
338C4×C22⋊D43—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43—21no—
343C4×C22⋊D43—21no—
344C4×C22⋊D43—21no—
345C4×C22⋊D43—21no—
346C4×C22⋊D43C2311yescharacteristic
347C4×C22⋊D43C2311yescharacteristic
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351(C22⋊D43)⋊C4—21no—
352#13063284C2311yescharacteristic
353#13063284C2311yescharacteristic
354#13063284C2311yescharacteristic
355#13063283—21no—
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063282—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367#13063281—21no—
368C2×C4⋊Dic43C2311yescharacteristic
369C4⋊C4×D43—21no—
370C4⋊C4×D43—21no—
371C4⋊C4×D43C2311yescharacteristic
372C4⋊C4×D43C2311yescharacteristic
373C4⋊C4×D43C2311yescharacteristic
374C4⋊C4×D43C2311yescharacteristic
375C4⋊C4×D43C2311yescharacteristic
376C4⋊C4×D43C2311yescharacteristic
377C4⋊C4×D43C2311yescharacteristic
378C2×C4×Dic43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063259C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063258C2311yescharacteristic
393#13063258C2311yescharacteristic
394#13063258C2311yescharacteristic
395#13063258C2311yescharacteristic
396#13063258C2311yescharacteristic
397#13063257C2311yescharacteristic
398#13063257C2311yescharacteristic
399#13063257C2311yescharacteristic
400#13063257C2311yescharacteristic
401#13063256C2311yescharacteristic
402#13063256C2311yescharacteristic
403#13063256C2311yescharacteristic
404#13063256C2311yescharacteristic
405#13063256C2311yescharacteristic
406#13063256C2311yescharacteristic
407#13063256C2311yescharacteristic
408C4⋊(C43⋊C8)C2311yescharacteristic
409Dic43⋊C8C2311yescharacteristic
410Dic43⋊C8C2311yescharacteristic
411#13063250C2311yescharacteristic
412#13063250C2311yescharacteristic
413#13063250C2311yescharacteristic
414#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063246C2311yescharacteristic
427#13063246C2311yescharacteristic
428#13063246C2311yescharacteristic
429C22⋊(C43⋊C8)C2311yescharacteristic
430C22⋊(C43⋊C8)C2311yescharacteristic
431(C2×D43)⋊C8C2311yescharacteristic
432(C2×D43)⋊C8C2311yescharacteristic
433(C2×D43)⋊C8C2311yescharacteristic
434(C2×D43)⋊C8C2311yescharacteristic
435#13063236C2311yescharacteristic
436C8×Dic43C2311yescharacteristic
437C8×Dic43C2311yescharacteristic
438C2×#41×C43—21no—
439C2×SD16×C43C2311yescharacteristic
440C2×M16×C43C2311yescharacteristic
441C22×C8×C43C2311yescharacteristic
442C4⋊Q8×C43C2311yescharacteristic
443#126×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447#123×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43—21no—
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452#121×C43C2311yescharacteristic
453#121×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459C2×C4⋊C4×C43C2311yescharacteristic
460C2×C4⋊C4×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×C43C2311yescharacteristic
467#107×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#102×C43C2311yescharacteristic
476#102×C43C2311yescharacteristic
477#102×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481#41×C43—82no—
482C2×Q8×C43—21no—
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43—21no—
485C2×D4×C43—21no—
486C2×D4×C43C2×D411yescharacteristic
487C2×D4×C43C2411yescharacteristic
488C22×C4×C43—21no—
489C22×C4×C43—21no—
490C22×C4×C43—21no—
491C22×C4×C43—21no—
492C22×C4×C43C2411yescharacteristic
493C22×C4×C43C2411yescharacteristic
494C2×C22⋊D43—21no—
495C2×C22⋊D43—21no—
496C2×C22⋊D43—21no—
497C2×C22⋊D43C2×D411yescharacteristic
498C2×C22⋊D43C2×D411yescharacteristic
499C2×C22⋊D43C2×D411yescharacteristic
500C2×C22⋊D43C2×D411yescharacteristic
501C2×C22⋊D43C2×D411yescharacteristic
502C2×C22⋊D43C2×D411yescharacteristic
503C22×Dic43—21no—
504C22×Dic43—21no—
505C22×Dic43—21no—
506Q8×D43—22no—
507Q8×D43—22no—
508Q8×D43—82no—
509#10621900—22no—
510#10621900—22no—
511#10621898—22no—
512#10621898—22no—
513#10621898—22no—
514#10621898—22no—
515#10621898—82no—
516C2×D172C2×D411yescharacteristic
517C2×D172C2×D411yescharacteristic
518C2×D172C2×D411yescharacteristic
519C2×C4×D43—21no—
520C2×C4×D43—21no—
521C2×C4×D43—21no—
522C2×C4×D43—21no—
523C2×C4×D43—21no—
524C2×C4×D43—21no—
525C2×C4×D43—21no—
526C2×C4×D43—21no—
527C2×C4×D43C2×D411yescharacteristic
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×Dic86—21no—
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86C2×D411yescharacteristic
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2411yescharacteristic
541C2×Dic86C2411yescharacteristic
542SD16×C43—22no—
543M16×C43—22no—
544C2×C8×C43—22no—
545C2×C8×C43C2411yescharacteristic
546C2×C8×C43C2411yescharacteristic
547C2×C8×C43C2411yescharacteristic
548C2×C8×C43C2411yescharacteristic
549C4⋊C4×C43—21no—
550C4⋊C4×C43—21no—
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×C43—21no—
558C4⋊C4×C43C2×D411yescharacteristic
559C4⋊C4×C43C2411yescharacteristic
560C4⋊C4×C43C2411yescharacteristic
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×C43—21no—
571C22⋊C4×C43C2×D411yescharacteristic
572C22⋊C4×C43C2×D411yescharacteristic
573C42×C43—21no—
574C42×C43—21no—
575C42×C43C2411yescharacteristic
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
588#10621885—22no—
589#10621883—22no—
590(C2×D43)⋊C4—21no—
591(C2×D43)⋊C4—21no—
592(C2×D43)⋊C4—21no—
593(C2×D43)⋊C4—21no—
594(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
604(C2×D43)⋊C4C2×D411yescharacteristic
605(C2×D43)⋊C4C2×D411yescharacteristic
606(C2×D43)⋊C4C2×D411yescharacteristic
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43—21no—
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43C2×D411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617C4⋊Dic43C2411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621Dic43⋊C4—21no—
622Dic43⋊C4—21no—
623Dic43⋊C4—21no—
624Dic43⋊C4—21no—
625Dic43⋊C4—21no—
626Dic43⋊C4—21no—
627Dic43⋊C4—21no—
628Dic43⋊C4—21no—
629Dic43⋊C4—21no—
630Dic43⋊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⋊C4C2×D411yescharacteristic
645Dic43⋊C4C2×D411yescharacteristic
646C4×Dic43—21no—
647C4×Dic43—21no—
648C4×Dic43—21no—
649C4×Dic43—21no—
650C4×Dic43—21no—
651C4×Dic43—21no—
652C4×Dic43—21no—
653C4×Dic43—21no—
654C4×Dic43—21no—
655C4×Dic43—21no—
656C4×Dic43—21no—
657C4×Dic43—21no—
658C4×Dic43—21no—
659C4×Dic43—21no—
660C4×Dic43—21no—
661C4×Dic43C2×D411yescharacteristic
662C4×Dic43C2×D411yescharacteristic
663C4×Dic43C2411yescharacteristic
664#10621877—22no—
665C2×C43⋊C8—22no—
666C2×C43⋊C8C2411yescharacteristic
667C2×C43⋊C8C2411yescharacteristic
668C2×C43⋊C8C2411yescharacteristic
669C2×C43⋊C8C2411yescharacteristic
670Dic172—22no—
671#10621872—22no—
672#10621872—22no—
673#10621872—22no—
674#10621872#4114yescomplemented
675C8×D43—22no—
676C8×D43—22no—
677C8×D43—22no—
678C8×D43—22no—
679C23×C43—21no—
680C23×C43C22×D411yescharacteristic
681C23×C43C22×D411yescharacteristic
682C22×D43C22×D411yescharacteristic
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—42no—
688D4×C43—21no—
689D4×C43—21no—
690D4×C43—41no—
691D4×C43—81no—
692D4×C43—81no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—42no—
705C2×C4×C43—81no—
706C2×C4×C43—81no—
707C2×C4×C43—81no—
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C22×D411yescharacteristic
711C2×C4×C43C22×D411yescharacteristic
712C2×C4×C43C2511yescharacteristic
713C22⋊D43—22no—
714C22⋊D43—22no—
715C22⋊D43—22no—
716C22⋊D43—22no—
717C22⋊D43—22no—
718C22⋊D43—22no—
719C22⋊D43—42no—
720C22⋊D43—81no—
721C22⋊D43—81no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—21no—
727C2×Dic43—21no—
728C2×Dic43—21no—
729C2×Dic43—21no—
730C2×Dic43—42no—
731C2×Dic43—42no—
732C2×Dic43—81no—
733C2×Dic43C22×D411yescharacteristic
734C2×Dic43C22×D411yescharacteristic
735C2×Dic43C22×D411yescharacteristic
736C2×Dic43C22×D411yescharacteristic
737C2×Dic43C22×D411yescharacteristic
738D172—22no—
739D172—22no—
740D172—41no—
741C4×D43—21no—
742C4×D43—21no—
743C4×D43—21no—
744C4×D43—21no—
745C4×D43—22no—
746C4×D43—41no—
747C4×D43—42no—
748C4×D43—81no—
749C4×D43—81no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43C2×#4112yes—
756C4×D432−1+412yes—
757Dic86—22no—
758Dic86—22no—
759Dic86—21no—
760Dic86—21no—
761Dic86—21no—
762Dic86—21no—
763Dic86—42no—
764Dic86—42no—
765Dic86—42no—
766Dic86—81no—
767Dic86—81no—
768Dic86—81no—
769C8×C43—21no—
770C8×C43—21no—
771C8×C43—21no—
772C8×C43C2×#4112yes—
773C43⋊C8—21no—
774C43⋊C8—21no—
775C43⋊C8—21no—
776C43⋊C8C2×#4112yes—
777#61282—431nomaximal, Sylow
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43—21no—
784C22×C43—41no—
785C22×C43—41no—
786C22×C43—41no—
787C22×C43C23×D411yescharacteristic
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—21no—
794C2×D43—21no—
795C2×D43—21no—
796C2×D43#54712yes—
797C4×C43—21no—
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×C43—41no—
807C4×C43—41no—
808C4×C43C22×#4111yescharacteristic
809C4×C43C2×2−1+411yescharacteristic
810Dic43—21no—
811Dic43—21no—
812Dic43—21no—
813Dic43—41no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43#54712yes—
822Dic43#57812yes—
823#3511—431no—
824#3507—431no—
825#3357—431no—
826#3357—431no—
827#3356—431no—
828#3356—431no—
829#3349—431no—
830#3349—431no—
831#3349—431no—
832#3349—431no—
833#3343—431no—
834#3343—431no—
835#3343—431no—
836#3343D4311yescharacteristic, complemented
837#3340—431no—
838#3340—431no—
839#3338—431no—
840#3338—431no—
841#3165—431no—
842#3098—431no—
843#3098—431no—
844#3097—431no—
845#3097—431no—
846#3076—431no—
847C2×#477—431no—
848#3063—431no—
849#3063—431no—
850C4×#137—431no—
851#2935—431no—
852#2913—431no—
853#2913—431no—
854C2×C43—41no—
855C2×C43—41no—
856C2×C43—81no—
857C2×C43C2×#54711yescharacteristic
858C2×C43C2×#57811yescharacteristic
859C2×C43#358511yescharacteristic
860D43—22no—
861D43—41no—
862D43—41no—
863C2×#137—431no—
864C2×#131—431no—
865C2×#131—431no—
866#559—861no—
867#557—861no—
868#556—431no—
869#556—431no—
870#556—431no—
871#556—431no—
872#556—861no—
873#556—861no—
874#555—431no—
875#555—431no—
876#554—431no—
877#554—431no—
878#554—431no—
879#554—431no—
880#553—861no—
881#553—861no—
882#552—431no—
883#552—431no—
884#552—431no—
885#552C2×D4311yescharacteristic
886#548—861no—
887#548—861no—
888#547—431no—
889#547C2×D4311yescharacteristic
890#542—861no—
891#542—861no—
892#539—861no—
893#539—861no—
894#537—431no—
895#537—431no—
896#536—431no—
897#536—431no—
898#533—431no—
899#533—861no—
900#532—431no—
901#532—861no—
902C2×C4⋊Q8—431no—
903#529—861no—
904#529—861no—
905#520—431no—
906#520—431no—
907#520—431no—
908#520—431no—
909C4×#41—431no—
910C2×C4×Q8—431no—
911#501—431no—
912#501—431no—
913#501—431no—
914#501C2×D4311yescharacteristic
915#500—431no—
916#500—431no—
917#498—431no—
918#498—431no—
919#485—431no—
920#485—431no—
921#485—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#485—431no—
931#484—431no—
932#484—431no—
933#484—431no—
934#484—431no—
935#484—431no—
936#484—431no—
937#484—431no—
938#484C2×D4311yescharacteristic
939#483—431no—
940#483—431no—
941#483—431no—
942#483C2×D4311yescharacteristic
943#482—431no—
944#482—431no—
945#482—431no—
946#482C2×D4311yescharacteristic
947#480—431no—
948#480—431no—
949#480—431no—
950#480C2×D4311yescharacteristic
951#479—431no—
952#479—431no—
953#478—431no—
954#478C2×D4311yescharacteristic
955#477—431no—
956#477—431no—
957#477—431no—
958#477—431no—
959#477—431no—
960#477—431no—
961#477—431no—
962#477—431no—
963#477C2×D4311yescharacteristic
964#476—431no—
965#475—431no—
966#474—431no—
967#470—431no—
968#470—431no—
969#470—431no—
970#470—431no—
971#468—431no—
972#468—431no—
973#468—431no—
974#468C2×D4311yescharacteristic
975#467—431no—
976#467—431no—
977#467—431no—
978#467—431no—
979#465—431no—
980#465—431no—
981#465—431no—
982#465C2×D4311yescharacteristic
983#441—431no—
984#441—431no—
985#440—431no—
986#440C2×D4311yescharacteristic
987C4×Q16—431no—
988C4×Q16—431no—
989C4×SD16—431no—
990C4×SD16—431no—
991#436—431no—
992#436—431no—
993#435—431no—
994#435—431no—
995#435—431no—
996#435C2×D4311yescharacteristic
997C8×D4—431no—
998C8×D4—431no—
999#428—431no—
1000#428—431no—
1001#428—431no—
1002#428—431no—
1003#428—431no—
1004#428—431no—
1005#428—431no—
1006#428—431no—
1007#428—431no—
1008#428—431no—
1009#428—431no—
1010#428—431no—
1011#428C2×D4311yescharacteristic
1012#427—431no—
1013#427—431no—
1014#427—431no—
1015#427—431no—
1016#427—431no—
1017#427—431no—
1018C2×#107—431no—
1019C2×#107—431no—
1020C2×#107—431no—
1021C2×#107—431no—
1022C2×#107—431no—
1023C2×#107C2×D4311yescharacteristic
1024C2×C4⋊C8—431no—
1025#419—431no—
1026#417—431no—
1027#416—431no—
1028#416—431no—
1029C2×#103—431no—
1030C2×#103—431no—
1031#408—431no—
1032#408—431no—
1033C4×M16—431no—
1034C43#6128211yescharacteristic, complemented, Sylow
1035C2×#41—21no—
1036C2×#41—431no—
1037C2×#41—431no—
1038C2×#41—431no—
1039C2×#41—861no—
1040C22×Q8—431no—
1041C22×Q8—861no—
1042#137—864no—
1043C2×Q16—431no—
1044C2×Q16—431no—
1045C2×SD16—431no—
1046C2×SD16C22×D4311yescharacteristic
1047#131—864no—
1048#131—864no—
1049C2×M16—431no—
1050C2×M16—431no—
1051C2×M16—431no—
1052C2×M16—431no—
1053C2×M16—431no—
1054C2×M16C22×D4311yescharacteristic
1055C22×C8—431no—
1056C22×C8—431no—
1057C22×C8—431no—
1058C22×C8—431no—
1059C22×C8—431no—
1060C22×C8C22×D4311yescharacteristic
1061C4⋊Q8—431no—
1062C4⋊Q8—431no—
1063C4⋊Q8—431no—
1064C4⋊Q8—431no—
1065C4⋊Q8—431no—
1066C4⋊Q8—431no—
1067C4⋊Q8—861no—
1068C4⋊Q8—861no—
1069C4⋊Q8—861no—
1070C4⋊Q8—861no—
1071C4⋊Q8C22×D4311yescharacteristic
1072#127—431no—
1073#126—21no—
1074#126—861no—
1075#126—861no—
1076#126—861no—
1077#126—861no—
1078#126—861no—
1079#126—861no—
1080#126—861no—
1081#126—861no—
1082#126—861no—
1083#126—861no—
1084#126—861no—
1085#125—21no—
1086#125—431no—
1087#125—861no—
1088#125—861no—
1089#125—861no—
1090#125—861no—
1091#125—861no—
1092#125—861no—
1093#125—861no—
1094#125C22×D4311yescharacteristic
1095#124—431no—
1096#124—431no—
1097#124—861no—
1098#124—861no—
1099#124—861no—
1100#124—861no—
1101#124—861no—
1102#124—861no—
1103#124—861no—
1104#124—861no—
1105#124—861no—
1106#124—861no—
1107#123—21no—
1108#123—21no—
1109#123—21no—
1110#123—861no—
1111#123—861no—
1112#123—861no—
1113#123—861no—
1114#123—861no—
1115#123—861no—
1116#123—861no—
1117#123—861no—
1118#123—861no—
1119C22⋊Q8—21no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—431no—
1123C22⋊Q8—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8—431no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8—431no—
1129C22⋊Q8—431no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8—861no—
1136C22⋊Q8—861no—
1137C22⋊Q8—861no—
1138C22⋊Q8—861no—
1139C22⋊Q8—861no—
1140C22⋊Q8—861no—
1141C22⋊Q8—861no—
1142C22⋊Q8—861no—
1143C22⋊Q8C22×D4311yescharacteristic
1144C22⋊Q8C22×D4311yescharacteristic
1145#121—431no—
1146#121—431no—
1147#121—431no—
1148#121—431no—
1149#121—431no—
1150#121—431no—
1151#121—861no—
1152#121—861no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121C22×D4311yescharacteristic
1160#121C22×D4311yescharacteristic
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—431no—
1166C4×Q8—861no—
1167C4×Q8—861no—
1168C4×Q8—861no—
1169C4×Q8—861no—
1170C4×Q8—861no—
1171C4×Q8—861no—
1172C4×Q8—861no—
1173C4×Q8—861no—
1174C4×Q8—861no—
1175C4×Q8—861no—
1176C4×Q8—861no—
1177C4×Q8—861no—
1178C4×Q8C22×D4311yescharacteristic
1179C4×D4—431no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4—861no—
1187C4×D4—861no—
1188C4×D4—861no—
1189C4×D4—861no—
1190C4×D4—861no—
1191C4×D4—861no—
1192C4×D4—861no—
1193C4×D4—861no—
1194C4×D4—861no—
1195C4×D4—861no—
1196C4×D4—861no—
1197C4×D4—861no—
1198C4×D4—861no—
1199C4×D4—861no—
1200C4×D4—861no—
1201C4×D4C22×D4311yescharacteristic
1202C4×D4C22×D4311yescharacteristic
1203#117—21no—
1204#117—431no—
1205#117—431no—
1206#117—431no—
1207#117—431no—
1208#117—431no—
1209#117—431no—
1210#117—431no—
1211#117—431no—
1212#117—431no—
1213#117—431no—
1214#117—861no—
1215#117—861no—
1216#117—861no—
1217#117—861no—
1218#117—861no—
1219#117—861no—
1220#117C22×D4311yescharacteristic
1221C2×C4⋊C4—431no—
1222C2×C4⋊C4—431no—
1223C2×C4⋊C4—431no—
1224C2×C4⋊C4—431no—
1225C2×C4⋊C4—431no—
1226C2×C4⋊C4—431no—
1227C2×C4⋊C4—431no—
1228C2×C4⋊C4—431no—
1229C2×C4⋊C4—861no—
1230C2×C4⋊C4—861no—
1231C2×C4⋊C4C22×D4311yescharacteristic
1232C2×C4⋊C4C22×D4311yescharacteristic
1233C2×C4⋊C4C22×D4311yescharacteristic
1234C2×C42—431no—
1235C2×C42—861no—
1236C2×C42—861no—
1237#107—431no—
1238#107—431no—
1239#107—431no—
1240#107—431no—
1241#107—431no—
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#107—431no—
1252#107—431no—
1253#107C22×D4311yescharacteristic
1254#107C22×D4311yescharacteristic
1255#107C22×D4311yescharacteristic
1256#107C22×D4311yescharacteristic
1257#107C22×D4311yescharacteristic
1258#107C22×D4311yescharacteristic
1259#106—431no—
1260#106—431no—
1261#106—431no—
1262#106—431no—
1263#106—431no—
1264#106—431no—
1265#106—431no—
1266#106—431no—
1267#106—431no—
1268#106—431no—
1269#106—431no—
1270#106C22×D4311yescharacteristic
1271#106C22×D4311yescharacteristic
1272#106C22×D4311yescharacteristic
1273C4⋊C8—431no—
1274C4⋊C8—431no—
1275C4⋊C8—431no—
1276C4⋊C8C22×D4311yescharacteristic
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#103—431no—
1287#103—431no—
1288#103—431no—
1289#103—431no—
1290#103—431no—
1291#103—431no—
1292#103C22×D4311yescharacteristic
1293#103C22×D4311yescharacteristic
1294#103C22×D4311yescharacteristic
1295#102—431no—
1296#102—431no—
1297#102—431no—
1298#102C22×D4311yescharacteristic
1299#102C22×D4311yescharacteristic
1300#102C22×D4311yescharacteristic
1301C22⋊C8—431no—
1302C22⋊C8—431no—
1303C22⋊C8—431no—
1304C22⋊C8—431no—
1305C22⋊C8—431no—
1306C22⋊C8—431no—
1307C22⋊C8C22×D4311yescharacteristic
1308C22⋊C8C22×D4311yescharacteristic
1309#97—431no—
1310#97C22×D4311yescharacteristic
1311C4×C8—431no—
1312C4×C8—431no—
1313#41—82no—
1314#41—862no—
1315#41—862no—
1316#41—862no—
1317#41—862no—
1318#41—862no—
1319#41—862no—
1320#41—3442no—
1321C2×Q8—21no—
1322C2×Q8—431no—
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—862no—
1333C2×Q8—861no—
1334C2×Q8—3442no—
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—431no—
1339C2×D4—431no—
1340C2×D4—431no—
1341C2×D4—431no—
1342C2×D4—431no—
1343C2×D4—431no—
1344C2×D4—431no—
1345C2×D4—431no—
1346C2×D4—431no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4D4×D4311yescharacteristic
1351C2×D4C23×D4311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—431no—
1357C22×C4—431no—
1358C22×C4—431no—
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×C4C23×D4311yescharacteristic
1373C22×C4C23×D4311yescharacteristic
1374Q16—862no—
1375Q16—862no—
1376SD16—22no—
1377SD16—862no—
1378M16—22no—
1379M16—434no—
1380M16—862no—
1381M16—862no—
1382M16—862no—
1383M16—862no—
1384C2×C8—22no—
1385C2×C8—431no—
1386C2×C8—431no—
1387C2×C8—431no—
1388C2×C8—431no—
1389C2×C8—862no—
1390C2×C8—862no—
1391C2×C8—862no—
1392C2×C8—862no—
1393C2×C8—862no—
1394C2×C8C23×D4311yescharacteristic
1395C2×C8C23×D4311yescharacteristic
1396C2×C8C23×D4311yescharacteristic
1397C2×C8C23×D4311yescharacteristic
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
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—861no—
1417C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1447C4⋊C4C23×D4311yescharacteristic
1448C4⋊C4C23×D4311yescharacteristic
1449C4⋊C4C23×D4311yescharacteristic
1450C4⋊C4C23×D4311yescharacteristic
1451C4⋊C4C23×D4311yescharacteristic
1452C4⋊C4C23×D4311yescharacteristic
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—431no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4—861no—
1468C22⋊C4—861no—
1469C22⋊C4—861no—
1470C22⋊C4—861no—
1471C22⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1489C22⋊C4D4×D4311yescharacteristic
1490C42—21no—
1491C42—21no—
1492C42—431no—
1493C42—431no—
1494C42—431no—
1495C42—861no—
1496C42—861no—
1497C42—861no—
1498C42—861no—
1499C42—861no—
1500C42—861no—
1501C42—861no—
1502C42—861no—
1503C42—861no—
1504C42—861no—
1505C42—861no—
1506C42—861no—
1507C42—861no—
1508C42—861no—
1509C42—861no—
1510C42C23×D4311yescharacteristic
1511C23—21no—
1512C23—431no—
1513C23—431no—
1514C23—431no—
1515C23C2×D4×D4311yescharacteristic
1516C23C2×D4×D4311yescharacteristic
1517Q8—21no—
1518Q8—21no—
1519Q8—42no—
1520Q8—862no—
1521Q8—862no—
1522Q8—861no—
1523Q8—861no—
1524Q8—861no—
1525Q8—861no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—3441no—
1529Q8—1722no—
1530Q8—1722no—
1531Q8—1722no—
1532D4—21no—
1533D4—21no—
1534D4—41no—
1535D4—81no—
1536D4—81no—
1537D4—862no—
1538D4—862no—
1539D4—862no—
1540D4—862no—
1541D4—862no—
1542D4—862no—
1543D4—862no—
1544D4—862no—
1545D4—3441no—
1546D4—3441no—
1547D4—1721no—
1548D4—1722no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—42no—
1561C2×C4—81no—
1562C2×C4—81no—
1563C2×C4—81no—
1564C2×C4—431no—
1565C2×C4—431no—
1566C2×C4—432no—
1567C2×C4—432no—
1568C2×C4—431no—
1569C2×C4—431no—
1570C2×C4—431no—
1571C2×C4—862no—
1572C2×C4—861no—
1573C2×C4—861no—
1574C2×C4—861no—
1575C2×C4—861no—
1576C2×C4—861no—
1577C2×C4—861no—
1578C2×C4—861no—
1579C2×C4—861no—
1580C2×C4—861no—
1581C2×C4—861no—
1582C2×C4—861no—
1583C2×C4—861no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—3441no—
1592C2×C4—1721no—
1593C2×C4—1722no—
1594C2×C4—1722no—
1595C2×C4—1722no—
1596C2×C4C2×D4×D4311yescharacteristic
1597C2×C4C2×D4×D4311yescharacteristic
1598C2×C4C2×D4×D4311yescharacteristic
1599C2×C4C2×D4×D4311yescharacteristic
1600C2×C4C24×D4311yescharacteristic
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—432no—
1605C8—861no—
1606C8—861no—
1607C8—861no—
1608C8#41×D4312yes—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—432no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—861no—
1625C22—861no—
1626C22—861no—
1627C22C22×D4×D4311yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—432no—
1640C4—432no—
1641C4—861no—
1642C4—861no—
1643C4—861no—
1644C4—1721no—
1645C4—1721no—
1646C4—1721no—
1647C4—1721no—
1648C4—1721no—
1649C4—1721no—
1650C4—1721no—
1651C4—1721no—
1652C4C2×#41×D4311yescharacteristic
1653C42−1+4×D4311yescharacteristic
1654C2—41no—
1655C2—41no—
1656C2—81no—
1657C2—862no—
1658C2—1721no—
1659C2—1721no—
1660C2#547×D4311yescharacteristic
1661C2#578×D4311yescharacteristic
1662C2#1914937111yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3343C2
socleC22×C43C23×D4
prime radical#19148505C2
hypercenter#3343D43
hypocenterC43#61282
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3343

Complements

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

NH ≅ G/Ntype
2. #19148454C2semidirect
3. #19147216C2semidirect
4. #19147214C2semidirect
5. #19147206C2semidirect
6. #19147203C2semidirect
7. #19147127C2semidirect
8. #19147125C2semidirect
9. #19147124C2semidirect
10. #19147122C2semidirect
11. #19147042C2semidirect
12. #19147040C2semidirect
13. #19147029C2semidirect
14. #19147006C2semidirect
15. #19147003C2semidirect
16. #19146985C2semidirect
17. #19146982C2semidirect
18. #19145140C2semidirect
19. #19144570C2semidirect
20. #19144568C2semidirect
21. #19144563C2semidirect
22. #19144557C2semidirect
23. #19144380C2semidirect
24. #477×D43C2semidirect
25. #19144281C2semidirect
26. #19144279C2semidirect
27. #19143417C2semidirect
28. #19143336C2semidirect
29. #19143194C2semidirect
30. #19143191C2semidirect
31. C43×#3343C2semidirect
674. #10621872#41semidirect
836. #3343D43semidirect
1034. C43#61282semidirect

Maximal subgroups

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

subgroupindex
#191485052
#191484542
#191472162
#191472142
#191472062
#191472032
#191471272
#191471252
#191471242
#191471222
#191470422
#191470402
#191470292
#191470062
#191470032
#191469852
#191469822
#191451402
#191445702
#191445682
#191445632
#191445572
#191443802
#477×D432
#191442812
#191442792
#191434172
#191433362
#191431942
#191431912
C43×#33432
#6128243