Finite Group Databasebeta

← #25975948

Subgroups — #25975948

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#19148503C211yesmaximal, characteristic
2#19148454C211yesmaximal, characteristic, complemented
3#19147205C211yesmaximal, characteristic, complemented
4#19147203C211yesmaximal, characteristic, complemented
5#19147175C211yesmaximal, characteristic, complemented
6#19147172C211yesmaximal, characteristic, complemented
7#19147117C211yesmaximal, characteristic, complemented
8#19147112C211yesmaximal, characteristic, complemented
9#19147109C211yesmaximal, characteristic, complemented
10#19147104C211yesmaximal, characteristic, complemented
11#19147057C211yesmaximal, characteristic, complemented
12#19147055C211yesmaximal, characteristic, complemented
13#19147044C211yesmaximal, characteristic, complemented
14#19147022C211yesmaximal, characteristic, complemented
15#19147020C211yesmaximal, characteristic, complemented
16#19146948C211yesmaximal, characteristic, complemented
17#19146945C211yesmaximal, characteristic, complemented
18#19145140C211yesmaximal, characteristic, complemented
19#19144581C211yesmaximal, characteristic, complemented
20#19144579C211yesmaximal, characteristic, complemented
21#19144563C211yesmaximal, characteristic, complemented
22#19144557C211yesmaximal, characteristic, complemented
23#19144382C211yesmaximal, characteristic, complemented
24#475×D43C211yesmaximal, characteristic, complemented
25#19144285C211yesmaximal, characteristic, complemented
26#19144283C211yesmaximal, characteristic, complemented
27#19143411C211yesmaximal, characteristic, complemented
28#19143336C211yesmaximal, characteristic, complemented
29#19143189C211yesmaximal, characteristic, complemented
30#19143186C211yesmaximal, characteristic, complemented
31C43×#3344C211yesmaximal, characteristic, complemented
32C2×#13063357C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×#13063331C2211yescharacteristic
35#14583633—21no—
36#14583626—21no—
37#14583620C2211yescharacteristic
38#14583620C2211yescharacteristic
39#14583620C2211yescharacteristic
40#14583617—21no—
41#14583617C2211yescharacteristic
42#14583616—21no—
43#14583615C2211yescharacteristic
44#14583614C2211yescharacteristic
45#14583609C2211yescharacteristic
46#14583607C2211yescharacteristic
47#14583604C2211yescharacteristic
48#14583602—21no—
49#14583599—21no—
50#14583590C2211yescharacteristic
51#14583589C2211yescharacteristic
52#14583587C2211yescharacteristic
53#14583559—21no—
54#14583559—21no—
55#14583550C2211yescharacteristic
56#14583550C2211yescharacteristic
57#14583519—21no—
58#14583519—21no—
59#14583497—21no—
60#14583492—21no—
61#14583479C2211yescharacteristic
62#14583479C2211yescharacteristic
63#14583472C2211yescharacteristic
64#14583472C2211yescharacteristic
65#14583455—21no—
66#14583455C2211yescharacteristic
67#14583446—21no—
68#14583446C2211yescharacteristic
69C4⋊Q8×D43C2211yescharacteristic
70#14583432—21no—
71#14583427—21no—
72#14583380C2211yescharacteristic
73#14583380C2211yescharacteristic
74#14583380C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×#10621902C2211yescharacteristic
77C4×Q8×D43C2211yescharacteristic
78#14583309C2211yescharacteristic
79#14583308C2211yescharacteristic
80#14583305C2211yescharacteristic
81#14583303C2211yescharacteristic
82#14583303C2211yescharacteristic
83#14583296C2211yescharacteristic
84#14583296C2211yescharacteristic
85#14583243C2211yescharacteristic
86#14583242C2211yescharacteristic
87#14583241C2211yescharacteristic
88#14583241C2211yescharacteristic
89#14583239C2211yescharacteristic
90#14583239C2211yescharacteristic
91#14583238C2211yescharacteristic
92#14583238C2211yescharacteristic
93#14583237C2211yescharacteristic
94#14583237C2211yescharacteristic
95#14583237C2211yescharacteristic
96#14583236C2211yescharacteristic
97#14583234C2211yescharacteristic
98#14583233C2211yescharacteristic
99#14583231C2211yescharacteristic
100#14583229C2211yescharacteristic
101#14583228C2211yescharacteristic
102#14583228C2211yescharacteristic
103#14583228C2211yescharacteristic
104#14583227C2211yescharacteristic
105#14583226C2211yescharacteristic
106#14583225C2211yescharacteristic
107#14583224C2211yescharacteristic
108#14583223C2211yescharacteristic
109#14583219C2211yescharacteristic
110#14583219C2211yescharacteristic
111#14583218C2211yescharacteristic
112#14583217C2211yescharacteristic
113#14583206C2211yescharacteristic
114#14583200C2211yescharacteristic
115#14583196C2211yescharacteristic
116#14583192C2211yescharacteristic
117#14583188C2211yescharacteristic
118#14583185C2211yescharacteristic
119#14583184C2211yescharacteristic
120#14583183C2211yescharacteristic
121#14583183C2211yescharacteristic
122#14583182C2211yescharacteristic
123#14583182C2211yescharacteristic
124#14583182C2211yescharacteristic
125#14583181C2211yescharacteristic
126#14583178C2211yescharacteristic
127#14583156C2211yescharacteristic
128#14583155C2211yescharacteristic
129#14583154C2211yescharacteristic
130#14583148C2211yescharacteristic
131#14583147C2211yescharacteristic
132#14583146C2211yescharacteristic
133#14583145C2211yescharacteristic
134#14583139C2211yescharacteristic
135#14583138C2211yescharacteristic
136#14583137C2211yescharacteristic
137#14583131C2211yescharacteristic
138#14583130C2211yescharacteristic
139#14583129C2211yescharacteristic
140#14583128C2211yescharacteristic
141#14583004C2211yescharacteristic
142#14583001C2211yescharacteristic
143#14582997C2211yescharacteristic
144Q16×Dic43C2211yescharacteristic
145#14582991C2211yescharacteristic
146#14582986C2211yescharacteristic
147#14582984C2211yescharacteristic
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#14582939C2211yescharacteristic
160#14582939C2211yescharacteristic
161#14582938C2211yescharacteristic
162#14582938C2211yescharacteristic
163#14582938C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582938C2211yescharacteristic
167#14582937C2211yescharacteristic
168#14582936C2211yescharacteristic
169#14582936C2211yescharacteristic
170#14582935C2211yescharacteristic
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic
173C2×#13063256C2211yescharacteristic
174#106×D43C2211yescharacteristic
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic
178C4⋊C8×D43C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582899C2211yescharacteristic
181#14582894C2211yescharacteristic
182#14582894C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#14582851C2211yescharacteristic
188C43×#554C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#484C2211yescharacteristic
193C43×#483C2211yescharacteristic
194C43×#483C2211yescharacteristic
195C43×#479C2211yescharacteristic
196C43×#475C2211yescharacteristic
197C43×#470C2211yescharacteristic
198C43×#467C2211yescharacteristic
199C43×#441C2211yescharacteristic
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C2×#106×C43C2211yescharacteristic
203C2×#10621902C2311yescharacteristic
204C2×#10621898—21no—
205C2×#10621898—21no—
206C2×#10621898C2311yescharacteristic
207C2×#10621898C2311yescharacteristic
208C2×Q8×D43—21no—
209C2×Q8×D43C2311yescharacteristic
210#13063357—24no—
211C2×#10621885C2311yescharacteristic
212C2×#10621873C2311yescharacteristic
213C2×#10621884C2311yescharacteristic
214#13063333—24no—
215#13063331—24no—
216C2×#10621877C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C2×#10621872C2311yescharacteristic
219C2×#10621872C2311yescharacteristic
220C2×#10621872C2311yescharacteristic
221C22×C43⋊C8C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063325C2311yescharacteristic
227#13063324—21no—
228#13063324—21no—
229#13063324—21no—
230#13063324D411yescharacteristic
231#13063324C2311yescharacteristic
232#13063324C2311yescharacteristic
233#13063324C2311yescharacteristic
234#13063324C2311yescharacteristic
235#13063323—21no—
236#13063321D411yescharacteristic
237#13063320—21no—
238#13063320—21no—
239#13063320—21no—
240#13063320—21no—
241#13063319—21no—
242#13063319—21no—
243#13063318—21no—
244#13063318—21no—
245#13063318—21no—
246#13063318—21no—
247#13063318—21no—
248#13063317—21no—
249#13063317C2311yescharacteristic
250#13063316—21no—
251#13063315—21no—
252#13063315—21no—
253#13063315—21no—
254#13063315—21no—
255#13063314—21no—
256#13063314—21no—
257#13063311—21no—
258#13063311—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#13063310—21no—
272#13063310—21no—
273#13063308—21no—
274#13063308—21no—
275#13063307—21no—
276#13063307—21no—
277#13063306—21no—
278#13063305—21no—
279#13063305C2311yescharacteristic
280#13063305C2311yescharacteristic
281#13063304—21no—
282#13063304C2311yescharacteristic
283#13063304C2311yescharacteristic
284#13063303—21no—
285#13063303—21no—
286#13063303—21no—
287#13063303—21no—
288#13063303—21no—
289#13063303—21no—
290#13063303—21no—
291#13063303—21no—
292#13063303—21no—
293#13063302—21no—
294#13063301C2311yescharacteristic
295#13063301C2311yescharacteristic
296#13063301C2311yescharacteristic
297#13063301C2311yescharacteristic
298#13063300—21no—
299#13063300—21no—
300#13063300—21no—
301#13063300D411yescharacteristic
302#13063300C2311yescharacteristic
303#13063300C2311yescharacteristic
304#13063299C2311yescharacteristic
305#13063299C2311yescharacteristic
306#13063298—21no—
307#13063298—21no—
308#13063298—21no—
309#13063298—21no—
310#13063298D411yescharacteristic
311#13063298D411yescharacteristic
312#13063296—21no—
313#13063296D411yescharacteristic
314Q8×Dic43C2311yescharacteristic
315Q8×Dic43C2311yescharacteristic
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
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#13063290—21no—
329#13063290C2311yescharacteristic
330C4×D172—21no—
331C4×D172—21no—
332C4×D172—21no—
333C4×D172C2311yescharacteristic
334C4×D172C2311yescharacteristic
335#13063287—21no—
336#13063287—21no—
337#13063287—21no—
338#13063287—21no—
339#13063287C2311yescharacteristic
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⋊D43—21no—
347C4×C22⋊D43C2311yescharacteristic
348C4×C22⋊D43C2311yescharacteristic
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#13063283—21no—
357#13063283—21no—
358#13063283—21no—
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063283C2311yescharacteristic
362#13063283C2311yescharacteristic
363#13063283C2311yescharacteristic
364#13063283C2311yescharacteristic
365#13063283C2311yescharacteristic
366#13063282—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
378C42×D43—21no—
379C42×D43—21no—
380C42×D43C2311yescharacteristic
381#13063259C2311yescharacteristic
382#13063259C2311yescharacteristic
383#13063259C2311yescharacteristic
384#13063259C2311yescharacteristic
385#13063258C2311yescharacteristic
386#13063258C2311yescharacteristic
387#13063258C2311yescharacteristic
388#13063258C2311yescharacteristic
389#13063258C2311yescharacteristic
390#13063258C2311yescharacteristic
391#13063258C2311yescharacteristic
392#13063257C2311yescharacteristic
393#13063257C2311yescharacteristic
394#13063257C2311yescharacteristic
395#13063257C2311yescharacteristic
396#13063257C2311yescharacteristic
397#13063256C2311yescharacteristic
398#13063256C2311yescharacteristic
399#13063256C2311yescharacteristic
400#13063256C2311yescharacteristic
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#13063249C2311yescharacteristic
415#13063249C2311yescharacteristic
416#13063249C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063248C2311yescharacteristic
421#13063248C2311yescharacteristic
422#13063248C2311yescharacteristic
423#13063247C2311yescharacteristic
424#13063247C2311yescharacteristic
425#13063247C2311yescharacteristic
426#13063245C2311yescharacteristic
427#13063245C2311yescharacteristic
428#13063245C2311yescharacteristic
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×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#125×C43—21no—
444#125×C43—21no—
445#125×C43C2311yescharacteristic
446#123×C43—21no—
447C22⋊Q8×C43—21no—
448C22⋊Q8×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43C2311yescharacteristic
454C4×Q8×C43C2311yescharacteristic
455C4×D4×C43—21no—
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#106×C43C2311yescharacteristic
466#106×C43C2311yescharacteristic
467#106×C43C2311yescharacteristic
468#106×C43C2311yescharacteristic
469#106×C43C2311yescharacteristic
470#106×C43C2311yescharacteristic
471C4⋊C8×C43C2311yescharacteristic
472#103×C43C2311yescharacteristic
473#103×C43C2311yescharacteristic
474#103×C43C2311yescharacteristic
475#103×C43C2311yescharacteristic
476#103×C43C2311yescharacteristic
477#103×C43C2311yescharacteristic
478C22⋊C8×C43C2311yescharacteristic
479C22⋊C8×C43C2311yescharacteristic
480#97×C43C2311yescharacteristic
481C2×Q8×C43—21no—
482C2×Q8×C43C2411yescharacteristic
483C2×Q8×C43C2411yescharacteristic
484C2×D4×C43C2×D411yescharacteristic
485C22×C4×C43—21no—
486C22×C4×C43—21no—
487C22×C4×C43—21no—
488C22×C4×C43C2411yescharacteristic
489C22×C4×C43C2411yescharacteristic
490C2×C22⋊D43—21no—
491C2×C22⋊D43—21no—
492C2×C22⋊D43C2×D411yescharacteristic
493C2×C22⋊D43C2×D411yescharacteristic
494C2×C22⋊D43C2×D411yescharacteristic
495C2×C22⋊D43C2×D411yescharacteristic
496C2×C22⋊D43C2×D411yescharacteristic
497C2×C22⋊D43C2×D411yescharacteristic
498C22×Dic43—21no—
499#10621902—22no—
500#10621902—22no—
501Q8×D43—22no—
502Q8×D43—22no—
503Q8×D43—82no—
504#10621898—22no—
505#10621898—22no—
506#10621898—22no—
507#10621898—22no—
508#10621898—82no—
509#10621898—82no—
510C2×D172—21no—
511C2×D172—21no—
512C2×D172—21no—
513C2×D172C2×D411yescharacteristic
514C2×D172C2×D411yescharacteristic
515C2×D172C2×D411yescharacteristic
516C2×D172C2411yescharacteristic
517C2×C4×D43—21no—
518C2×C4×D43—21no—
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×D43—21no—
528C2×C4×D43C2×D411yescharacteristic
529C2×C4×D43C2×D411yescharacteristic
530C2×C4×D43C2411yescharacteristic
531C2×C4×D43C2411yescharacteristic
532C2×C4×D43C2411yescharacteristic
533C2×Dic86—21no—
534C2×Dic86—21no—
535C2×Dic86—21no—
536C2×Dic86—21no—
537C2×Dic86—21no—
538C2×Dic86—21no—
539C2×Dic86C2×D411yescharacteristic
540C2×Dic86C2×D411yescharacteristic
541C2×Dic86C2411yescharacteristic
542Q16×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×C43—21no—
559C4⋊C4×C43—21no—
560C4⋊C4×C43—21no—
561C4⋊C4×C43C2×D411yescharacteristic
562C4⋊C4×C43C2411yescharacteristic
563C4⋊C4×C43C2411yescharacteristic
564C4⋊C4×C43C2411yescharacteristic
565C4⋊C4×C43C2411yescharacteristic
566C4⋊C4×C43C2411yescharacteristic
567C4⋊C4×C43C2411yescharacteristic
568C22⋊C4×C43—21no—
569C22⋊C4×C43—21no—
570C22⋊C4×C43—21no—
571C22⋊C4×C43—21no—
572C22⋊C4×C43—21no—
573C22⋊C4×C43C2×D411yescharacteristic
574C22⋊C4×C43C2×D411yescharacteristic
575C42×C43—21no—
576C42×C43—21no—
577C42×C43—21no—
578C42×C43C2411yescharacteristic
579C22⋊Dic43—21no—
580C22⋊Dic43—21no—
581C22⋊Dic43—21no—
582C22⋊Dic43—21no—
583C22⋊Dic43—21no—
584C22⋊Dic43C2×D411yescharacteristic
585C22⋊Dic43C2×D411yescharacteristic
586#10621885—22no—
587#10621884—22no—
588(C2×D43)⋊C4—21no—
589(C2×D43)⋊C4—21no—
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)⋊C4—21no—
604(C2×D43)⋊C4—21no—
605(C2×D43)⋊C4—21no—
606(C2×D43)⋊C4—21no—
607(C2×D43)⋊C4C2×D411yescharacteristic
608(C2×D43)⋊C4C2×D411yescharacteristic
609(C2×D43)⋊C4C2×D411yescharacteristic
610(C2×D43)⋊C4C2×D411yescharacteristic
611C4⋊Dic43—21no—
612C4⋊Dic43—21no—
613C4⋊Dic43—21no—
614C4⋊Dic43—21no—
615C4⋊Dic43—21no—
616C4⋊Dic43—21no—
617C4⋊Dic43C2×D411yescharacteristic
618C4⋊Dic43C2411yescharacteristic
619C4⋊Dic43C2411yescharacteristic
620C4⋊Dic43C2411yescharacteristic
621C4⋊Dic43C2411yescharacteristic
622C4⋊Dic43C2411yescharacteristic
623C4⋊Dic43C2411yescharacteristic
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⋊C4—21no—
645Dic43⋊C4C2×D411yescharacteristic
646Dic43⋊C4C2×D411yescharacteristic
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
670#10621873—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×C43C22×D411yescharacteristic
680C23×C43C22×D411yescharacteristic
681C22×D43—21no—
682C22×D43C22×D411yescharacteristic
683C22×D43C22×D411yescharacteristic
684C22×D43C22×D411yescharacteristic
685Q8×C43—21no—
686Q8×C43—21no—
687Q8×C43—21no—
688Q8×C43—21no—
689Q8×C43—81no—
690D4×C43—41no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
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—81no—
704C2×C4×C43—81no—
705C2×C4×C43—81no—
706C2×C4×C43C22×D411yescharacteristic
707C2×C4×C43C22×D411yescharacteristic
708C2×C4×C43C22×D411yescharacteristic
709C2×C4×C43C22×D411yescharacteristic
710C2×C4×C43C2511yescharacteristic
711C22⋊D43—22no—
712C22⋊D43—22no—
713C22⋊D43—22no—
714C22⋊D43—22no—
715C22⋊D43—22no—
716C22⋊D43—22no—
717C22⋊D43—81no—
718C22⋊D43—81no—
719C2×Dic43—21no—
720C2×Dic43—21no—
721C2×Dic43—21no—
722C2×Dic43—21no—
723C2×Dic43—21no—
724C2×Dic43—21no—
725C2×Dic43—21no—
726C2×Dic43—81no—
727C2×Dic43C22×D411yescharacteristic
728C2×Dic43C22×D411yescharacteristic
729C2×Dic43C22×D411yescharacteristic
730C2×Dic43C22×D411yescharacteristic
731C2×Dic43C22×D411yescharacteristic
732D172—22no—
733D172—22no—
734D172—21no—
735D172—21no—
736D172—41no—
737D172—42no—
738D172—81no—
739D172—81no—
740C4×D43—21no—
741C4×D43—21no—
742C4×D43—21no—
743C4×D43—21no—
744C4×D43—22no—
745C4×D43—41no—
746C4×D43—42no—
747C4×D43—42no—
748C4×D43—42no—
749C4×D43—42no—
750C4×D43—81no—
751C4×D43—81no—
752C4×D43—81no—
753C4×D43—81no—
754C4×D43—81no—
755C4×D43—81no—
756C4×D43—81no—
757C4×D43C2×#4112yes—
758C4×D432−1+412yes—
759Dic86—22no—
760Dic86—22no—
761Dic86—21no—
762Dic86—21no—
763Dic86—42no—
764Dic86—42no—
765Dic86—42no—
766Dic86—42no—
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#61281—431nomaximal, Sylow
778C22×C43—21no—
779C22×C43—21no—
780C22×C43—21no—
781C22×C43—21no—
782C22×C43—21no—
783C22×C43—21no—
784C22×C43C23×D411yescharacteristic
785C2×D43—21no—
786C2×D43—21no—
787C2×D43—21no—
788C2×D43—21no—
789C2×D43—21no—
790C2×D43—21no—
791C2×D43—21no—
792C2×D43—21no—
793C2×D43—41no—
794C2×D43—41no—
795C2×D43—41no—
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×C43—41no—
809C4×C43C22×#4111yescharacteristic
810C4×C43C2×2−1+411yescharacteristic
811Dic43—21no—
812Dic43—21no—
813Dic43—21no—
814Dic43—41no—
815Dic43—41no—
816Dic43—41no—
817Dic43—41no—
818Dic43—41no—
819Dic43—41no—
820Dic43—41no—
821Dic43#54712yes—
822Dic43#57712yes—
823#3511—431no—
824#3507—431no—
825#3356—431no—
826#3356—431no—
827#3353—431no—
828#3353—431no—
829#3348—431no—
830#3348—431no—
831#3348—431no—
832#3348—431no—
833#3344—431no—
834#3344—431no—
835#3344—431no—
836#3344D4311yescharacteristic, complemented
837#3342—431no—
838#3342—431no—
839#3335—431no—
840#3335—431no—
841#3165—431no—
842#3099—431no—
843#3099—431no—
844#3097—431no—
845#3097—431no—
846#3076—431no—
847C2×#475—431no—
848#3063—431no—
849#3063—431no—
850C4×#137—431no—
851#2935—431no—
852#2912—431no—
853#2912—431no—
854C2×C43—41no—
855C2×C43—41no—
856C2×C43C2×#54711yescharacteristic
857C2×C43C2×#57711yescharacteristic
858C2×C43#358611yescharacteristic
859D43—22no—
860D43—41no—
861D43—41no—
862D43—81no—
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#554C2×D4311yescharacteristic
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#547—431no—
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#485C2×D4311yescharacteristic
931#484—431no—
932#484—431no—
933#484—431no—
934#484C2×D4311yescharacteristic
935#483—431no—
936#483—431no—
937#483—431no—
938#483—431no—
939#483—431no—
940#483—431no—
941#483C2×D4311yescharacteristic
942#483C2×D4311yescharacteristic
943#482—431no—
944#482—431no—
945#482—431no—
946#482—431no—
947#481—431no—
948#481—431no—
949#481—431no—
950#481—431no—
951#479—431no—
952#479C2×D4311yescharacteristic
953#478—431no—
954#478—431no—
955#477—431no—
956#476—431no—
957#475—431no—
958#475—431no—
959#475—431no—
960#475—431no—
961#475—431no—
962#475—431no—
963#475—431no—
964#475—431no—
965#475C2×D4311yescharacteristic
966#474—431no—
967#470—431no—
968#470—431no—
969#470—431no—
970#470C2×D4311yescharacteristic
971#468—431no—
972#468—431no—
973#468—431no—
974#468—431no—
975#467—431no—
976#467—431no—
977#467—431no—
978#467C2×D4311yescharacteristic
979#465—431no—
980#465—431no—
981#465—431no—
982#465—431no—
983#441—431no—
984#441C2×D4311yescharacteristic
985#440—431no—
986#440—431no—
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×#106—431no—
1019C2×#106—431no—
1020C2×#106—431no—
1021C2×#106—431no—
1022C2×#106—431no—
1023C2×#106C2×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#6128111yescharacteristic, complemented, Sylow
1035C2×#41—431no—
1036C2×#41—431no—
1037C2×#41—431no—
1038C2×#41—861no—
1039C2×#41—861no—
1040C22×Q8—431no—
1041C22×Q8—861no—
1042#137—864no—
1043C2×Q16—431no—
1044C2×Q16C22×D4311yescharacteristic
1045C2×SD16—431no—
1046C2×SD16—431no—
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—21no—
1087#125—431no—
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—861no—
1109#123—861no—
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—21no—
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—861no—
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⋊Q8C22×D4311yescharacteristic
1142C22⋊Q8C22×D4311yescharacteristic
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—431no—
1152#121—431no—
1153#121—861no—
1154#121—861no—
1155#121—861no—
1156#121—861no—
1157#121—861no—
1158#121—861no—
1159#121—861no—
1160#121—861no—
1161C4×Q8—431no—
1162C4×Q8—431no—
1163C4×Q8—431no—
1164C4×Q8—431no—
1165C4×Q8—861no—
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×Q8C22×D4311yescharacteristic
1178C4×Q8C22×D4311yescharacteristic
1179C4×D4—21no—
1180C4×D4—431no—
1181C4×D4—431no—
1182C4×D4—431no—
1183C4×D4—431no—
1184C4×D4—431no—
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×D4—861no—
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#107C22×D4311yescharacteristic
1249#107C22×D4311yescharacteristic
1250#107C22×D4311yescharacteristic
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106—431no—
1255#106—431no—
1256#106—431no—
1257#106—431no—
1258#106—431no—
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#106C22×D4311yescharacteristic
1268#106C22×D4311yescharacteristic
1269#106C22×D4311yescharacteristic
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#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—
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—862no—
1314#41—862no—
1315#41—862no—
1316#41—862no—
1317#41—862no—
1318#41—862no—
1319#41—3442no—
1320#41—3442no—
1321C2×Q8—21no—
1322C2×Q8—431no—
1323C2×Q8—431no—
1324C2×Q8—431no—
1325C2×Q8—861no—
1326C2×Q8—861no—
1327C2×Q8—861no—
1328C2×Q8—861no—
1329C2×Q8—861no—
1330C2×Q8—862no—
1331C2×Q8—862no—
1332C2×Q8—861no—
1333C2×Q8—3442no—
1334C2×Q8C23×D4311yescharacteristic
1335C2×Q8C23×D4311yescharacteristic
1336C2×D4—431no—
1337C2×D4—431no—
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—861no—
1347C2×D4—861no—
1348C2×D4—861no—
1349C2×D4—861no—
1350C2×D4—861no—
1351C2×D4D4×D4311yescharacteristic
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—431no—
1356C22×C4—431no—
1357C22×C4—431no—
1358C22×C4—431no—
1359C22×C4—431no—
1360C22×C4—861no—
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—22no—
1375Q16—862no—
1376SD16—862no—
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—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4—431no—
1418C4⋊C4—431no—
1419C4⋊C4—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—431no—
1459C22⋊C4—431no—
1460C22⋊C4—431no—
1461C22⋊C4—431no—
1462C22⋊C4—431no—
1463C22⋊C4—431no—
1464C22⋊C4—861no—
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—21no—
1493C42—431no—
1494C42—431no—
1495C42—431no—
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—431no—
1512C23—431no—
1513C23—431no—
1514C23—861no—
1515C23C2×D4×D4311yescharacteristic
1516C23C2×D4×D4311yescharacteristic
1517Q8—21no—
1518Q8—21no—
1519Q8—21no—
1520Q8—21no—
1521Q8—81no—
1522Q8—862no—
1523Q8—862no—
1524Q8—861no—
1525Q8—861no—
1526Q8—3441no—
1527Q8—3441no—
1528Q8—1722no—
1529Q8—1722no—
1530Q8—1722no—
1531Q8—1722no—
1532D4—41no—
1533D4—862no—
1534D4—862no—
1535D4—862no—
1536D4—862no—
1537D4—862no—
1538D4—862no—
1539D4—862no—
1540D4—862no—
1541D4—861no—
1542D4—861no—
1543D4—3441no—
1544D4—3441no—
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—21no—
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—3441no—
1584C2×C4—3441no—
1585C2×C4—3441no—
1586C2×C4—3441no—
1587C2×C4—3441no—
1588C2×C4—3441no—
1589C2×C4—3441no—
1590C2×C4—3441no—
1591C2×C4—1721no—
1592C2×C4—1722no—
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—432no—
1616C22—861no—
1617C22—861no—
1618C22—861no—
1619C22—861no—
1620C22—861no—
1621C22—861no—
1622C22—861no—
1623C22—861no—
1624C22—1721no—
1625C22—1721no—
1626C22—1721no—
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—41no—
1640C4—432no—
1641C4—432no—
1642C4—861no—
1643C4—861no—
1644C4—861no—
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—862no—
1657C2—3441no—
1658C2—1721no—
1659C2—1721no—
1660C2#547×D4311yescharacteristic
1661C2#577×D4311yescharacteristic
1662C2#1914937811yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3344C2
socleC22×C43C23×D4
prime radical#19148503C2
hypercenter#3344D43
hypocenterC43#61281
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3344

Complements

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

NH ≅ G/Ntype
2. #19148454C2semidirect
3. #19147205C2semidirect
4. #19147203C2semidirect
5. #19147175C2semidirect
6. #19147172C2semidirect
7. #19147117C2semidirect
8. #19147112C2semidirect
9. #19147109C2semidirect
10. #19147104C2semidirect
11. #19147057C2semidirect
12. #19147055C2semidirect
13. #19147044C2semidirect
14. #19147022C2semidirect
15. #19147020C2semidirect
16. #19146948C2semidirect
17. #19146945C2semidirect
18. #19145140C2semidirect
19. #19144581C2semidirect
20. #19144579C2semidirect
21. #19144563C2semidirect
22. #19144557C2semidirect
23. #19144382C2semidirect
24. #475×D43C2semidirect
25. #19144285C2semidirect
26. #19144283C2semidirect
27. #19143411C2semidirect
28. #19143336C2semidirect
29. #19143189C2semidirect
30. #19143186C2semidirect
31. C43×#3344C2semidirect
674. #10621872#41semidirect
836. #3344D43semidirect
1034. C43#61281semidirect

Maximal subgroups

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

subgroupindex
#191485032
#191484542
#191472052
#191472032
#191471752
#191471722
#191471172
#191471122
#191471092
#191471042
#191470572
#191470552
#191470442
#191470222
#191470202
#191469482
#191469452
#191451402
#191445812
#191445792
#191445632
#191445572
#191443822
#475×D432
#191442852
#191442832
#191434112
#191433362
#191431892
#191431862
C43×#33442
#6128143