Finite Group Databasebeta

← #25976106

Subgroups — #25976106

Order 11008.

1746 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148454C211yesmaximal, characteristic
2#19148450C211yesmaximal, characteristic
3#19147129C211yesmaximal, characteristic, complemented
4#19147128C211yesmaximal, characteristic, complemented
5#19147124C211yesmaximal, characteristic, complemented
6#19147122C211yesmaximal, characteristic, complemented
7#19147121C211yesmaximal, characteristic, complemented
8#19147120C211yesmaximal, characteristic, complemented
9#19147119C211yesmaximal, characteristic, complemented
10#19147057C211yesmaximal, characteristic, complemented
11#19147056C211yesmaximal, characteristic, complemented
12#19147055C211yesmaximal, characteristic, complemented
13#19147052C211yesmaximal, characteristic, complemented
14#19147051C211yesmaximal, characteristic, complemented
15#19147050C211yesmaximal, characteristic, complemented
16#19147048C211yesmaximal, characteristic, complemented
17#19147043C211yesmaximal, characteristic, complemented
18#19145116C211yesmaximal, characteristic, complemented
19#19144563C211yesmaximal, characteristic, complemented
20#19144561C211yesmaximal, characteristic, complemented
21#19144561C211yesmaximal, characteristic, complemented
22#19144559C211yesmaximal, characteristic, complemented
23#19144401C211yesmaximal, characteristic, complemented
24#19144398C211yesmaximal, characteristic, complemented
25#19144248C211yesmaximal, characteristic, complemented
26#19144245C211yesmaximal, characteristic, complemented
27#441×D43C211yesmaximal, characteristic, complemented
28#19143309C211yesmaximal, characteristic
29#19143189C211yesmaximal, characteristic, complemented
30#19143187C211yesmaximal, characteristic, complemented
31C43×#3349C211yesmaximal, characteristic, complemented
32C2×Q16×D43C2211yescharacteristic
33C2×#13063333C2211yescharacteristic
34C2×#13063331C2211yescharacteristic
35#14583633—21no—
36#14583631—21no—
37#14583626—21no—
38#14583625—21no—
39#14583623C2211yescharacteristic
40#14583620C2211yescharacteristic
41#14583617—21no—
42#14583617C2211yescharacteristic
43#14583616—21no—
44#14583616—21no—
45#14583616—21no—
46#14583609C2211yescharacteristic
47#14583607C2211yescharacteristic
48#14583606C2211yescharacteristic
49#14583604C2211yescharacteristic
50#14583591C2211yescharacteristic
51#14583591C2211yescharacteristic
52#14583590C2211yescharacteristic
53#14583589C2211yescharacteristic
54#14583588C2211yescharacteristic
55#14583588C2211yescharacteristic
56#14583587C2211yescharacteristic
57#14583497—21no—
58#14583492—21no—
59#14583490—21no—
60#14583490—21no—
61#14583472C2211yescharacteristic
62#14583472C2211yescharacteristic
63#14583472C2211yescharacteristic
64#14583472C2211yescharacteristic
65#14583455C2211yescharacteristic
66#14583454C2211yescharacteristic
67#14583446C2211yescharacteristic
68#14583436—21no—
69#14583432—21no—
70#14583428—21no—
71#14583427—21no—
72#14583380C2211yescharacteristic
73#14583379C2211yescharacteristic
74#14583379C2211yescharacteristic
75#14583379C2211yescharacteristic
76C4×Q8×D43C2211yescharacteristic
77C4×Q8×D43C2211yescharacteristic
78#14583309C2211yescharacteristic
79#14583308C2211yescharacteristic
80#14583307C2211yescharacteristic
81#14583307C2211yescharacteristic
82#14583306C2211yescharacteristic
83#14583306C2211yescharacteristic
84#14583305C2211yescharacteristic
85#14583243C2211yescharacteristic
86#14583243C2211yescharacteristic
87#14583242C2211yescharacteristic
88#14583242C2211yescharacteristic
89#14583241C2211yescharacteristic
90#14583240C2211yescharacteristic
91#14583240C2211yescharacteristic
92#14583240C2211yescharacteristic
93#14583239C2211yescharacteristic
94#14583239C2211yescharacteristic
95#14583238C2211yescharacteristic
96#14583238C2211yescharacteristic
97#14583237C2211yescharacteristic
98#14583236C2211yescharacteristic
99#14583236C2211yescharacteristic
100#14583236C2211yescharacteristic
101#14583235C2211yescharacteristic
102#14583233C2211yescharacteristic
103#14583232C2211yescharacteristic
104#14583232C2211yescharacteristic
105#14583231C2211yescharacteristic
106#14583230C2211yescharacteristic
107#14583230C2211yescharacteristic
108#14583229C2211yescharacteristic
109#14583228C2211yescharacteristic
110#14583228C2211yescharacteristic
111#14583228C2211yescharacteristic
112#14583227C2211yescharacteristic
113#14583207C2211yescharacteristic
114#14583206C2211yescharacteristic
115#14583205C2211yescharacteristic
116#14583205C2211yescharacteristic
117#14583204C2211yescharacteristic
118#14583204C2211yescharacteristic
119#14583203C2211yescharacteristic
120#14583193C2211yescharacteristic
121#14583192C2211yescharacteristic
122#14583191C2211yescharacteristic
123#14583185C2211yescharacteristic
124#14583184C2211yescharacteristic
125#14583183C2211yescharacteristic
126#14583182C2211yescharacteristic
127#14583158C2211yescharacteristic
128#14583157C2211yescharacteristic
129#14583156C2211yescharacteristic
130#14583156C2211yescharacteristic
131#14583155C2211yescharacteristic
132#14583155C2211yescharacteristic
133#14583154C2211yescharacteristic
134#14583141C2211yescharacteristic
135#14583140C2211yescharacteristic
136#14583139C2211yescharacteristic
137#14583139C2211yescharacteristic
138#14583138C2211yescharacteristic
139#14583138C2211yescharacteristic
140#14583137C2211yescharacteristic
141#14583007C2211yescharacteristic
142#14583006C2211yescharacteristic
143#14583005C2211yescharacteristic
144#14583004C2211yescharacteristic
145#14583004C2211yescharacteristic
146#14583003C2211yescharacteristic
147#14583003C2211yescharacteristic
148#14582973C2211yescharacteristic
149#14582972C2211yescharacteristic
150#14582971C2211yescharacteristic
151#14582970C2211yescharacteristic
152#14582969C2211yescharacteristic
153#14582968C2211yescharacteristic
154#14582967C2211yescharacteristic
155#14582942C2211yescharacteristic
156#14582942C2211yescharacteristic
157#14582941C2211yescharacteristic
158#14582940C2211yescharacteristic
159#14582940C2211yescharacteristic
160#14582940C2211yescharacteristic
161#14582940C2211yescharacteristic
162#14582940C2211yescharacteristic
163#14582940C2211yescharacteristic
164#14582938C2211yescharacteristic
165#14582938C2211yescharacteristic
166#14582936C2211yescharacteristic
167#14582936C2211yescharacteristic
168#14582936C2211yescharacteristic
169#14582935C2211yescharacteristic
170#14582934C2211yescharacteristic
171#14582934C2211yescharacteristic
172#14582934C2211yescharacteristic
173C2×#13063257C2211yescharacteristic
174C2×#13063256C2211yescharacteristic
175#106×D43C2211yescharacteristic
176#106×D43C2211yescharacteristic
177#106×D43C2211yescharacteristic
178#14582921C2211yescharacteristic
179#14582906C2211yescharacteristic
180#14582906C2211yescharacteristic
181#14582906C2211yescharacteristic
182#14582906C2211yescharacteristic
183#103×D43C2211yescharacteristic
184#103×D43C2211yescharacteristic
185#14582864C2211yescharacteristic
186#14582864C2211yescharacteristic
187#97×D43C2211yescharacteristic
188C43×#556C2211yescharacteristic
189C43×#552C2211yescharacteristic
190C43×#501C2211yescharacteristic
191C43×#485C2211yescharacteristic
192C43×#485C2211yescharacteristic
193C43×#485C2211yescharacteristic
194C43×#484C2211yescharacteristic
195C43×#479C2211yescharacteristic
196C43×#477C2211yescharacteristic
197C43×#470C2211yescharacteristic
198C43×#467C2211yescharacteristic
199C43×#441C2211yescharacteristic
200C43×#435C2211yescharacteristic
201C43×#428C2211yescharacteristic
202C43×#427C2211yescharacteristic
203C2×#10621898C2311yescharacteristic
204C2×#10621898C2311yescharacteristic
205C2×Q8×D43C2311yescharacteristic
206C2×Q8×D43C2311yescharacteristic
207C2×Dic172C2311yescharacteristic
208C2×#10621885C2311yescharacteristic
209C2×#10621885C2311yescharacteristic
210Q16×D43—24no—
211#13063333—24no—
212#13063331—24no—
213C2×#10621877C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223#13063325C2311yescharacteristic
224#13063324—21no—
225#13063324—21no—
226#13063324—21no—
227#13063324—21no—
228#13063324D411yescharacteristic
229#13063324C2311yescharacteristic
230#13063324C2311yescharacteristic
231#13063321D411yescharacteristic
232#13063320—21no—
233#13063320—21no—
234#13063320—21no—
235#13063320—21no—
236#13063320—21no—
237#13063320—21no—
238#13063319—21no—
239#13063319—21no—
240#13063318—21no—
241#13063318—21no—
242#13063318—21no—
243#13063318—21no—
244#13063318—21no—
245#13063317—21no—
246#13063317—21no—
247#13063317—21no—
248#13063317C2311yescharacteristic
249#13063316—21no—
250#13063316—21no—
251#13063316—21no—
252#13063316—21no—
253#13063316C2311yescharacteristic
254#13063316C2311yescharacteristic
255#13063315—21no—
256#13063315—21no—
257#13063315—21no—
258#13063315—21no—
259#13063314—21no—
260#13063311—21no—
261#13063311—21no—
262#13063311—21no—
263#13063311—21no—
264#13063311—21no—
265#13063311—21no—
266#13063311D411yescharacteristic
267#13063311D411yescharacteristic
268#13063310—21no—
269#13063310—21no—
270#13063310—21no—
271#13063310—21no—
272#13063310—21no—
273#13063310—21no—
274#13063309—21no—
275#13063309—21no—
276#13063307—21no—
277#13063307—21no—
278#13063307—21no—
279#13063307—21no—
280#13063307—21no—
281#13063307—21no—
282#13063306—21no—
283#13063305—21no—
284#13063305—21no—
285#13063305C2311yescharacteristic
286#13063305C2311yescharacteristic
287#13063305C2311yescharacteristic
288#13063305C2311yescharacteristic
289#13063304—21no—
290#13063304C2311yescharacteristic
291#13063304C2311yescharacteristic
292#13063304C2311yescharacteristic
293#13063304C2311yescharacteristic
294#13063303—21no—
295#13063303—21no—
296#13063303—21no—
297#13063303—21no—
298#13063303—21no—
299#13063302—21no—
300#13063302—21no—
301#13063302—21no—
302#13063301—21no—
303#13063301C2311yescharacteristic
304#13063301C2311yescharacteristic
305#13063301C2311yescharacteristic
306#13063301C2311yescharacteristic
307#13063300D411yescharacteristic
308#13063298D411yescharacteristic
309#13063298D411yescharacteristic
310#13063296D411yescharacteristic
311Q8×Dic43—21no—
312Q8×Dic43—21no—
313Q8×Dic43C2311yescharacteristic
314Q8×Dic43C2311yescharacteristic
315C4×Dic86—21no—
316C4×Dic86—21no—
317C4×Dic86—21no—
318C4×Dic86—21no—
319C4×Dic86—21no—
320C4×Dic86—21no—
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290—21no—
324#13063290—21no—
325#13063290—21no—
326#13063290—21no—
327#13063290—21no—
328#13063290—21no—
329#13063290—21no—
330#13063290C2311yescharacteristic
331#13063290C2311yescharacteristic
332C4×D172—21no—
333C4×D172—21no—
334C4×D172—21no—
335C4×D172—21no—
336C4×D172C2311yescharacteristic
337D4×Dic43—21no—
338#13063287—21no—
339C4×C22⋊D43—21no—
340C4×C22⋊D43—21no—
341C4×C22⋊D43—21no—
342C4×C22⋊D43C2311yescharacteristic
343C4×C22⋊D43C2311yescharacteristic
344(C22⋊D43)⋊C4—21no—
345(C22⋊D43)⋊C4—21no—
346(C22⋊D43)⋊C4—21no—
347(C22⋊D43)⋊C4—21no—
348(C22⋊D43)⋊C4—21no—
349(C22⋊D43)⋊C4—21no—
350(C22⋊D43)⋊C4—21no—
351#13063284C2311yescharacteristic
352#13063283—21no—
353#13063283C2311yescharacteristic
354#13063283C2311yescharacteristic
355#13063283C2311yescharacteristic
356#13063283C2311yescharacteristic
357#13063283C2311yescharacteristic
358#13063283C2311yescharacteristic
359#13063283C2311yescharacteristic
360#13063283C2311yescharacteristic
361#13063282—21no—
362#13063282—21no—
363#13063282—21no—
364#13063281—21no—
365#13063281—21no—
366#13063281—21no—
367C2×C4⋊Dic43C2311yescharacteristic
368C2×C4⋊Dic43C2311yescharacteristic
369C2×C4⋊Dic43C2311yescharacteristic
370C4⋊C4×D43—21no—
371C4⋊C4×D43—21no—
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#13063258C2311yescharacteristic
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#13063257C2311yescharacteristic
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#13063250C2311yescharacteristic
415#13063250C2311yescharacteristic
416#13063250C2311yescharacteristic
417#13063249C2311yescharacteristic
418#13063249C2311yescharacteristic
419#13063249C2311yescharacteristic
420#13063249C2311yescharacteristic
421#13063249C2311yescharacteristic
422#13063249C2311yescharacteristic
423#13063248C2311yescharacteristic
424#13063248C2311yescharacteristic
425#13063248C2311yescharacteristic
426#13063248C2311yescharacteristic
427#13063248C2311yescharacteristic
428#13063248C2311yescharacteristic
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
436#13063235C2311yescharacteristic
437#13063235C2311yescharacteristic
438C2×Q16×C43C2311yescharacteristic
439C2×M16×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441C4⋊Q8×C43C2311yescharacteristic
442#126×C43—21no—
443#126×C43—21no—
444#126×C43—21no—
445#125×C43—21no—
446#125×C43C2311yescharacteristic
447#124×C43—21no—
448#123×C43—21no—
449C22⋊Q8×C43C2311yescharacteristic
450C22⋊Q8×C43C2311yescharacteristic
451C22⋊Q8×C43C2311yescharacteristic
452C22⋊Q8×C43C2311yescharacteristic
453C4×Q8×C43—21no—
454C4×Q8×C43C2311yescharacteristic
455C4×Q8×C43C2311yescharacteristic
456C4×D4×C43C2311yescharacteristic
457#117×C43—21no—
458#117×C43C2311yescharacteristic
459#117×C43C2311yescharacteristic
460#117×C43C2311yescharacteristic
461C2×C4⋊C4×C43C2311yescharacteristic
462#107×C43C2311yescharacteristic
463#107×C43C2311yescharacteristic
464#107×C43C2311yescharacteristic
465#107×C43C2311yescharacteristic
466#107×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×C43C2411yescharacteristic
487C22×C4×C43C2411yescharacteristic
488C2×C22⋊D43C2×D411yescharacteristic
489C2×C22⋊D43C2×D411yescharacteristic
490C2×C22⋊D43C2×D411yescharacteristic
491C2×C22⋊D43C2×D411yescharacteristic
492C2×C22⋊D43C2×D411yescharacteristic
493C2×C22⋊D43C2×D411yescharacteristic
494C22×Dic43—21no—
495C22×Dic43—21no—
496C22×Dic43—21no—
497Q8×D43—22no—
498Q8×D43—22no—
499Q8×D43—22no—
500Q8×D43—22no—
501#10621898—22no—
502#10621898—22no—
503#10621898—22no—
504#10621898—22no—
505C2×D172C2×D411yescharacteristic
506C2×D172C2×D411yescharacteristic
507C2×D172C2×D411yescharacteristic
508C2×C4×D43—21no—
509C2×C4×D43—21no—
510C2×C4×D43—21no—
511C2×C4×D43—21no—
512C2×C4×D43—21no—
513C2×C4×D43—21no—
514C2×C4×D43—21no—
515C2×C4×D43—21no—
516C2×C4×D43C2×D411yescharacteristic
517C2×C4×D43C2×D411yescharacteristic
518C2×C4×D43C2411yescharacteristic
519C2×C4×D43C2411yescharacteristic
520C2×C4×D43C2411yescharacteristic
521C2×Dic86—21no—
522C2×Dic86—21no—
523C2×Dic86—21no—
524C2×Dic86—21no—
525C2×Dic86—21no—
526C2×Dic86C2×D411yescharacteristic
527C2×Dic86C2×D411yescharacteristic
528C2×Dic86C2411yescharacteristic
529C2×Dic86C2411yescharacteristic
530Q16×C43—22no—
531M16×C43—22no—
532C2×C8×C43—22no—
533C2×C8×C43C2411yescharacteristic
534C2×C8×C43C2411yescharacteristic
535C2×C8×C43C2411yescharacteristic
536C2×C8×C43C2411yescharacteristic
537C4⋊C4×C43—21no—
538C4⋊C4×C43—21no—
539C4⋊C4×C43—21no—
540C4⋊C4×C43—21no—
541C4⋊C4×C43—21no—
542C4⋊C4×C43—21no—
543C4⋊C4×C43—21no—
544C4⋊C4×C43—21no—
545C4⋊C4×C43—21no—
546C4⋊C4×C43—21no—
547C4⋊C4×C43C2×D411yescharacteristic
548C4⋊C4×C43C2411yescharacteristic
549C4⋊C4×C43C2411yescharacteristic
550C4⋊C4×C43C2411yescharacteristic
551C4⋊C4×C43C2411yescharacteristic
552C4⋊C4×C43C2411yescharacteristic
553C4⋊C4×C43C2411yescharacteristic
554C22⋊C4×C43—21no—
555C22⋊C4×C43—21no—
556C22⋊C4×C43—21no—
557C22⋊C4×C43—21no—
558C22⋊C4×C43—21no—
559C22⋊C4×C43—21no—
560C22⋊C4×C43—21no—
561C22⋊C4×C43C2×D411yescharacteristic
562C22⋊C4×C43C2×D411yescharacteristic
563C42×C43—21no—
564C42×C43—21no—
565C42×C43—21no—
566C42×C43—21no—
567C42×C43—21no—
568C42×C43C2411yescharacteristic
569C22⋊Dic43—21no—
570C22⋊Dic43—21no—
571C22⋊Dic43—21no—
572C22⋊Dic43—21no—
573C22⋊Dic43—21no—
574C22⋊Dic43C2×D411yescharacteristic
575C22⋊Dic43C2×D411yescharacteristic
576#10621885—22no—
577#10621885—22no—
578(C2×D43)⋊C4—21no—
579(C2×D43)⋊C4—21no—
580(C2×D43)⋊C4—21no—
581(C2×D43)⋊C4—21no—
582(C2×D43)⋊C4—21no—
583(C2×D43)⋊C4—21no—
584(C2×D43)⋊C4—21no—
585(C2×D43)⋊C4—21no—
586(C2×D43)⋊C4—21no—
587(C2×D43)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
595(C2×D43)⋊C4C2×D411yescharacteristic
596(C2×D43)⋊C4C2×D411yescharacteristic
597(C2×D43)⋊C4C2×D411yescharacteristic
598C4⋊Dic43—21no—
599C4⋊Dic43—21no—
600C4⋊Dic43—21no—
601C4⋊Dic43—21no—
602C4⋊Dic43—21no—
603C4⋊Dic43—21no—
604C4⋊Dic43—21no—
605C4⋊Dic43—21no—
606C4⋊Dic43—21no—
607C4⋊Dic43—21no—
608C4⋊Dic43—21no—
609C4⋊Dic43—21no—
610C4⋊Dic43C2×D411yescharacteristic
611C4⋊Dic43C2411yescharacteristic
612C4⋊Dic43C2411yescharacteristic
613C4⋊Dic43C2411yescharacteristic
614C4⋊Dic43C2411yescharacteristic
615C4⋊Dic43C2411yescharacteristic
616C4⋊Dic43C2411yescharacteristic
617Dic43⋊C4—21no—
618Dic43⋊C4—21no—
619Dic43⋊C4—21no—
620Dic43⋊C4—21no—
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⋊C4C2×D411yescharacteristic
642Dic43⋊C4C2×D411yescharacteristic
643C4×Dic43—21no—
644C4×Dic43—21no—
645C4×Dic43—21no—
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×Dic43C2×D411yescharacteristic
659C4×Dic43C2×D411yescharacteristic
660C4×Dic43C2411yescharacteristic
661#10621877—22no—
662C2×C43⋊C8—22no—
663C2×C43⋊C8C2411yescharacteristic
664C2×C43⋊C8C2411yescharacteristic
665C2×C43⋊C8C2411yescharacteristic
666C2×C43⋊C8C2411yescharacteristic
667Dic172—22no—
668#10621872—22no—
669#10621872—22no—
670#10621872—22no—
671#10621872—22no—
672C8×D43—22no—
673C8×D43—22no—
674C8×D43—22no—
675C8×D43#4114yes—
676C23×C43C22×D411yescharacteristic
677C23×C43C22×D411yescharacteristic
678C22×D43C22×D411yescharacteristic
679C22×D43C22×D411yescharacteristic
680C22×D43C22×D411yescharacteristic
681Q8×C43—21no—
682Q8×C43—21no—
683Q8×C43—21no—
684Q8×C43—21no—
685Q8×C43—42no—
686D4×C43—41no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
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—81no—
700C2×C4×C43C22×D411yescharacteristic
701C2×C4×C43C22×D411yescharacteristic
702C2×C4×C43C22×D411yescharacteristic
703C2×C4×C43C22×D411yescharacteristic
704C2×C4×C43C2511yescharacteristic
705C22⋊D43—22no—
706C22⋊D43—22no—
707C22⋊D43—22no—
708C22⋊D43—22no—
709C22⋊D43—41no—
710C22⋊D43—41no—
711C2×Dic43—21no—
712C2×Dic43—21no—
713C2×Dic43—21no—
714C2×Dic43—21no—
715C2×Dic43—21no—
716C2×Dic43—21no—
717C2×Dic43—21no—
718C2×Dic43—21no—
719C2×Dic43—81no—
720C2×Dic43—81no—
721C2×Dic43—81no—
722C2×Dic43C22×D411yescharacteristic
723C2×Dic43C22×D411yescharacteristic
724C2×Dic43C22×D411yescharacteristic
725C2×Dic43C22×D411yescharacteristic
726C2×Dic43C22×D411yescharacteristic
727D172—22no—
728D172—22no—
729D172—41no—
730C4×D43—21no—
731C4×D43—21no—
732C4×D43—21no—
733C4×D43—21no—
734C4×D43—41no—
735C4×D43—41no—
736C4×D43—42no—
737C4×D43—42no—
738C4×D43—81no—
739C4×D43—81no—
740C4×D43—81no—
741C4×D43—81no—
742C4×D43—81no—
743C4×D43—81no—
744C4×D43C2×#4112yes—
745C4×D432−1+412yes—
746Dic86—22no—
747Dic86—22no—
748Dic86—21no—
749Dic86—21no—
750Dic86—21no—
751Dic86—21no—
752Dic86—42no—
753Dic86—42no—
754Dic86—42no—
755Dic86—81no—
756Dic86—81no—
757C8×C43—21no—
758C8×C43—21no—
759C8×C43—21no—
760C8×C43C2×#4112yes—
761C43⋊C8—21no—
762C43⋊C8—21no—
763C43⋊C8—21no—
764C43⋊C8C2×#4112yes—
765#61292—431nomaximal, Sylow
766C22×C43—21no—
767C22×C43—21no—
768C22×C43—21no—
769C22×C43—21no—
770C22×C43—21no—
771C22×C43—21no—
772C22×C43C23×D411yescharacteristic
773C2×D43—21no—
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—21no—
778C2×D43—21no—
779C2×D43—21no—
780C2×D43—21no—
781C2×D43#54712yes—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—41no—
787C4×C43—41no—
788C4×C43—41no—
789C4×C43—41no—
790C4×C43—41no—
791C4×C43—41no—
792C4×C43—41no—
793C4×C43—41no—
794C4×C43C22×#4111yescharacteristic
795C4×C43C2×2−1+411yescharacteristic
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—41no—
801Dic43—41no—
802Dic43—41no—
803Dic43—41no—
804Dic43—41no—
805Dic43—41no—
806Dic43—41no—
807Dic43—41no—
808Dic43#54712yes—
809#3507—431no—
810#3507—431no—
811#3349—431no—
812#3349—431no—
813#3349—431no—
814#3349—431no—
815#3349—431no—
816#3349—431no—
817#3349—431no—
818#3349D4311yescharacteristic, complemented
819#3344—431no—
820#3344—431no—
821#3344—431no—
822#3344—431no—
823#3344—431no—
824#3344—431no—
825#3344—431no—
826#3344—431no—
827#3162—431no—
828#3097—431no—
829#3097—431no—
830#3097—431no—
831#3097—431no—
832#3078—431no—
833#3078—431no—
834#3059—431no—
835#3059—431no—
836C2×#441—431no—
837#2932—431no—
838#2912—431no—
839#2912—431no—
840C2×C43—41no—
841C2×C43—41no—
842C2×C43C2×#54711yescharacteristic
843C2×C43#358611yescharacteristic
844C2×C43#358611yescharacteristic
845D43—22no—
846D43—41no—
847D43—41no—
848C22×Q16—431no—
849C2×#131—431no—
850C2×#131—431no—
851#559—861no—
852#559—861no—
853#557—861no—
854#557—861no—
855#556—431no—
856#556—431no—
857#556—431no—
858#556—861no—
859#556—861no—
860#556—861no—
861#556—861no—
862#556C2×D4311yescharacteristic
863#554—431no—
864#554—431no—
865#554—431no—
866#554—431no—
867#552—431no—
868#552—431no—
869#552—431no—
870#552—431no—
871#552—431no—
872#552—431no—
873#552—431no—
874#552C2×D4311yescharacteristic
875#539—861no—
876#539—861no—
877#539—861no—
878#539—861no—
879#536—431no—
880#536—431no—
881#536—431no—
882#536—431no—
883#533—431no—
884#533—431no—
885#532—431no—
886#529—861no—
887#529—861no—
888#529—861no—
889#529—861no—
890#520—431no—
891#520—431no—
892#520—431no—
893#520—431no—
894C2×C4×Q8—431no—
895C2×C4×Q8—431no—
896#501—431no—
897#501—431no—
898#501—431no—
899#501—431no—
900#501—431no—
901#501—431no—
902#501—431no—
903#501C2×D4311yescharacteristic
904#485—431no—
905#485—431no—
906#485—431no—
907#485—431no—
908#485—431no—
909#485—431no—
910#485—431no—
911#485—431no—
912#485—431no—
913#485—431no—
914#485—431no—
915#485—431no—
916#485—431no—
917#485C2×D4311yescharacteristic
918#485C2×D4311yescharacteristic
919#485C2×D4311yescharacteristic
920#484—431no—
921#484—431no—
922#484—431no—
923#484—431no—
924#484—431no—
925#484—431no—
926#484—431no—
927#484C2×D4311yescharacteristic
928#483—431no—
929#483—431no—
930#483—431no—
931#483—431no—
932#483—431no—
933#483—431no—
934#483—431no—
935#483—431no—
936#479—431no—
937#479—431no—
938#479—431no—
939#479—431no—
940#479—431no—
941#479—431no—
942#479—431no—
943#479C2×D4311yescharacteristic
944#477—431no—
945#477—431no—
946#477—431no—
947#477C2×D4311yescharacteristic
948#475—431no—
949#475—431no—
950#475—431no—
951#475—431no—
952#470—431no—
953#470—431no—
954#470—431no—
955#470—431no—
956#470—431no—
957#470—431no—
958#470—431no—
959#470C2×D4311yescharacteristic
960#467—431no—
961#467—431no—
962#467—431no—
963#467—431no—
964#467—431no—
965#467—431no—
966#467—431no—
967#467C2×D4311yescharacteristic
968#441—431no—
969#441—431no—
970#441—431no—
971#441—431no—
972#441—431no—
973#441—431no—
974#441—431no—
975#441C2×D4311yescharacteristic
976#435—431no—
977#435—431no—
978#435—431no—
979#435—431no—
980#435—431no—
981#435—431no—
982#435—431no—
983#435C2×D4311yescharacteristic
984#428—431no—
985#428—431no—
986#428—431no—
987#428—431no—
988#428—431no—
989#428—431no—
990#428—431no—
991#428—431no—
992#428—431no—
993#428—431no—
994#428—431no—
995#428C2×D4311yescharacteristic
996#427—431no—
997#427—431no—
998#427—431no—
999#427—431no—
1000#427—431no—
1001#427—431no—
1002#427—431no—
1003#427C2×D4311yescharacteristic
1004C2×#106—431no—
1005C2×#106—431no—
1006C2×#106—431no—
1007C2×#106—431no—
1008C2×#106—431no—
1009#423—431no—
1010#419—431no—
1011#419—431no—
1012#419—431no—
1013#419—431no—
1014C2×#103—431no—
1015C2×#103—431no—
1016#408—431no—
1017#408—431no—
1018C2×#97—431no—
1019C43#6129211yescharacteristic, complemented, Sylow
1020C2×#41—431no—
1021C2×#41—431no—
1022C22×Q8—431no—
1023C22×Q8—431no—
1024C2×Q16—431no—
1025C2×Q16—431no—
1026C2×Q16—431no—
1027C2×Q16—864no—
1028C2×Q16C22×D4311yescharacteristic
1029#131—864no—
1030#131—864no—
1031C2×M16—431no—
1032C2×M16—431no—
1033C2×M16—431no—
1034C2×M16—431no—
1035C2×M16—431no—
1036C2×M16C22×D4311yescharacteristic
1037C22×C8—431no—
1038C22×C8—431no—
1039C22×C8—431no—
1040C22×C8—431no—
1041C22×C8—431no—
1042C22×C8C22×D4311yescharacteristic
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8—861no—
1048C4⋊Q8—861no—
1049C4⋊Q8—861no—
1050C4⋊Q8—861no—
1051C4⋊Q8C22×D4311yescharacteristic
1052#127—431no—
1053#126—21no—
1054#126—21no—
1055#126—21no—
1056#126—861no—
1057#126—861no—
1058#126—861no—
1059#126—861no—
1060#126—861no—
1061#126—861no—
1062#126—861no—
1063#126—861no—
1064#126—861no—
1065#126—861no—
1066#126—861no—
1067#126—861no—
1068#126—861no—
1069#125—21no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—861no—
1074#125—861no—
1075#125—861no—
1076#125—861no—
1077#125—861no—
1078#125—861no—
1079#125—861no—
1080#125—861no—
1081#125—861no—
1082#125—861no—
1083#125—861no—
1084#125C22×D4311yescharacteristic
1085#124—21no—
1086#124—431no—
1087#124—431no—
1088#124—861no—
1089#124—861no—
1090#124—861no—
1091#124—861no—
1092#124—861no—
1093#124—861no—
1094#124—861no—
1095#123—21no—
1096#123—861no—
1097#123—861no—
1098#123—861no—
1099#123—861no—
1100#123—861no—
1101#123—861no—
1102#123—861no—
1103#123—861no—
1104#123—861no—
1105#123—861no—
1106#123—861no—
1107#123—861no—
1108#123—861no—
1109#123—861no—
1110#123—861no—
1111C22⋊Q8—431no—
1112C22⋊Q8—431no—
1113C22⋊Q8—431no—
1114C22⋊Q8—431no—
1115C22⋊Q8—431no—
1116C22⋊Q8—431no—
1117C22⋊Q8—431no—
1118C22⋊Q8—431no—
1119C22⋊Q8—431no—
1120C22⋊Q8—431no—
1121C22⋊Q8—431no—
1122C22⋊Q8—431no—
1123C22⋊Q8—861no—
1124C22⋊Q8—861no—
1125C22⋊Q8—861no—
1126C22⋊Q8—861no—
1127C22⋊Q8—861no—
1128C22⋊Q8—861no—
1129C22⋊Q8—861no—
1130C22⋊Q8—861no—
1131C22⋊Q8—861no—
1132C22⋊Q8—861no—
1133C22⋊Q8—861no—
1134C22⋊Q8—861no—
1135C22⋊Q8C22×D4311yescharacteristic
1136C22⋊Q8C22×D4311yescharacteristic
1137C22⋊Q8C22×D4311yescharacteristic
1138C22⋊Q8C22×D4311yescharacteristic
1139#121—431no—
1140#121—431no—
1141#121—431no—
1142#121—431no—
1143C4×Q8—21no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8—431no—
1150C4×Q8—861no—
1151C4×Q8—861no—
1152C4×Q8—861no—
1153C4×Q8—861no—
1154C4×Q8—861no—
1155C4×Q8—861no—
1156C4×Q8—861no—
1157C4×Q8—861no—
1158C4×Q8—861no—
1159C4×Q8—861no—
1160C4×Q8—861no—
1161C4×Q8—861no—
1162C4×Q8—861no—
1163C4×Q8—861no—
1164C4×Q8—861no—
1165C4×Q8C22×D4311yescharacteristic
1166C4×Q8C22×D4311yescharacteristic
1167C4×D4—431no—
1168C4×D4—431no—
1169C4×D4—431no—
1170C4×D4—861no—
1171C4×D4—861no—
1172C4×D4—861no—
1173C4×D4—861no—
1174C4×D4—861no—
1175C4×D4—861no—
1176C4×D4—861no—
1177C4×D4—861no—
1178C4×D4—861no—
1179C4×D4—861no—
1180C4×D4—861no—
1181C4×D4—861no—
1182C4×D4—861no—
1183C4×D4—861no—
1184C4×D4—861no—
1185C4×D4—861no—
1186C4×D4C22×D4311yescharacteristic
1187#117—21no—
1188#117—431no—
1189#117—431no—
1190#117—431no—
1191#117—431no—
1192#117—431no—
1193#117—431no—
1194#117—431no—
1195#117—431no—
1196#117—431no—
1197#117—861no—
1198#117—861no—
1199#117—861no—
1200#117—861no—
1201#117—861no—
1202#117—861no—
1203#117—861no—
1204#117C22×D4311yescharacteristic
1205#117C22×D4311yescharacteristic
1206#117C22×D4311yescharacteristic
1207C2×C4⋊C4—431no—
1208C2×C4⋊C4—431no—
1209C2×C4⋊C4—431no—
1210C2×C4⋊C4—431no—
1211C2×C4⋊C4—431no—
1212C2×C4⋊C4—431no—
1213C2×C4⋊C4—431no—
1214C2×C4⋊C4—431no—
1215C2×C4⋊C4—431no—
1216C2×C4⋊C4—861no—
1217C2×C4⋊C4—861no—
1218C2×C4⋊C4C22×D4311yescharacteristic
1219C2×C42—431no—
1220C2×C42—861no—
1221C2×C42—861no—
1222#107—431no—
1223#107—431no—
1224#107—431no—
1225#107—431no—
1226#107—431no—
1227#107—431no—
1228#107—431no—
1229#107—431no—
1230#107—431no—
1231#107—431no—
1232#107—431no—
1233#107C22×D4311yescharacteristic
1234#107C22×D4311yescharacteristic
1235#107C22×D4311yescharacteristic
1236#107C22×D4311yescharacteristic
1237#107C22×D4311yescharacteristic
1238#106—431no—
1239#106—431no—
1240#106—431no—
1241#106—431no—
1242#106—431no—
1243#106—431no—
1244#106—431no—
1245#106—431no—
1246#106—431no—
1247#106—431no—
1248#106—431no—
1249#106—431no—
1250#106—431no—
1251#106—431no—
1252#106—431no—
1253#106—431no—
1254#106C22×D4311yescharacteristic
1255#106C22×D4311yescharacteristic
1256#106C22×D4311yescharacteristic
1257#106C22×D4311yescharacteristic
1258C4⋊C8—431no—
1259C4⋊C8—431no—
1260C4⋊C8—431no—
1261C4⋊C8C22×D4311yescharacteristic
1262#103—431no—
1263#103—431no—
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#103C22×D4311yescharacteristic
1281#103C22×D4311yescharacteristic
1282#103C22×D4311yescharacteristic
1283#103C22×D4311yescharacteristic
1284#103C22×D4311yescharacteristic
1285#103C22×D4311yescharacteristic
1286C22⋊C8—431no—
1287C22⋊C8—431no—
1288C22⋊C8—431no—
1289C22⋊C8—431no—
1290C22⋊C8—431no—
1291C22⋊C8—431no—
1292C22⋊C8C22×D4311yescharacteristic
1293C22⋊C8C22×D4311yescharacteristic
1294#97—431no—
1295#97—431no—
1296#97—431no—
1297#97C22×D4311yescharacteristic
1298#41—862no—
1299#41—862no—
1300#41—862no—
1301#41—862no—
1302C2×Q8—21no—
1303C2×Q8—431no—
1304C2×Q8—431no—
1305C2×Q8—431no—
1306C2×Q8—431no—
1307C2×Q8—861no—
1308C2×Q8—861no—
1309C2×Q8—861no—
1310C2×Q8—861no—
1311C2×Q8—862no—
1312C2×Q8—862no—
1313C2×Q8—862no—
1314C2×Q8—862no—
1315C2×Q8—861no—
1316C2×Q8C23×D4311yescharacteristic
1317C2×Q8C23×D4311yescharacteristic
1318C2×D4—431no—
1319C2×D4—431no—
1320C2×D4—431no—
1321C2×D4—431no—
1322C2×D4—431no—
1323C2×D4—431no—
1324C2×D4—431no—
1325C2×D4—431no—
1326C2×D4—431no—
1327C2×D4D4×D4311yescharacteristic
1328C22×C4—21no—
1329C22×C4—431no—
1330C22×C4—431no—
1331C22×C4—431no—
1332C22×C4—431no—
1333C22×C4—431no—
1334C22×C4—861no—
1335C22×C4—861no—
1336C22×C4—861no—
1337C22×C4—861no—
1338C22×C4—861no—
1339C22×C4—861no—
1340C22×C4—861no—
1341C22×C4—861no—
1342C22×C4—861no—
1343C22×C4—861no—
1344C22×C4—861no—
1345C22×C4C23×D4311yescharacteristic
1346C22×C4C23×D4311yescharacteristic
1347Q16—22no—
1348Q16—862no—
1349Q16—862no—
1350Q16—862no—
1351M16—22no—
1352M16—862no—
1353M16—862no—
1354M16—862no—
1355M16—862no—
1356M16—862no—
1357C2×C8—22no—
1358C2×C8—431no—
1359C2×C8—434no—
1360C2×C8—431no—
1361C2×C8—431no—
1362C2×C8—431no—
1363C2×C8—862no—
1364C2×C8—862no—
1365C2×C8—862no—
1366C2×C8—862no—
1367C2×C8C23×D4311yescharacteristic
1368C2×C8C23×D4311yescharacteristic
1369C2×C8C23×D4311yescharacteristic
1370C2×C8C23×D4311yescharacteristic
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—431no—
1382C4⋊C4—431no—
1383C4⋊C4—431no—
1384C4⋊C4—431no—
1385C4⋊C4—431no—
1386C4⋊C4—431no—
1387C4⋊C4—431no—
1388C4⋊C4—431no—
1389C4⋊C4—431no—
1390C4⋊C4—861no—
1391C4⋊C4—861no—
1392C4⋊C4—861no—
1393C4⋊C4—861no—
1394C4⋊C4—861no—
1395C4⋊C4—861no—
1396C4⋊C4—861no—
1397C4⋊C4—861no—
1398C4⋊C4—861no—
1399C4⋊C4—861no—
1400C4⋊C4—861no—
1401C4⋊C4—861no—
1402C4⋊C4—861no—
1403C4⋊C4—861no—
1404C4⋊C4—861no—
1405C4⋊C4—861no—
1406C4⋊C4—861no—
1407C4⋊C4—861no—
1408C4⋊C4—861no—
1409C4⋊C4—861no—
1410C4⋊C4—861no—
1411C4⋊C4—861no—
1412C4⋊C4—861no—
1413C4⋊C4—861no—
1414C4⋊C4—861no—
1415C4⋊C4—861no—
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⋊C4D4×D4311yescharacteristic
1427C4⋊C4C23×D4311yescharacteristic
1428C4⋊C4C23×D4311yescharacteristic
1429C4⋊C4C23×D4311yescharacteristic
1430C4⋊C4C23×D4311yescharacteristic
1431C4⋊C4C23×D4311yescharacteristic
1432C4⋊C4C23×D4311yescharacteristic
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—431no—
1441C22⋊C4—431no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—861no—
1447C22⋊C4—861no—
1448C22⋊C4—861no—
1449C22⋊C4—861no—
1450C22⋊C4—861no—
1451C22⋊C4—861no—
1452C22⋊C4—861no—
1453C22⋊C4—861no—
1454C22⋊C4—861no—
1455C22⋊C4—861no—
1456C22⋊C4—861no—
1457C22⋊C4—861no—
1458C22⋊C4—861no—
1459C22⋊C4—861no—
1460C22⋊C4—861no—
1461C22⋊C4—861no—
1462C22⋊C4—861no—
1463C22⋊C4—861no—
1464C22⋊C4—861no—
1465C22⋊C4—861no—
1466C22⋊C4—861no—
1467C22⋊C4D4×D4311yescharacteristic
1468C22⋊C4D4×D4311yescharacteristic
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42—21no—
1474C42—431no—
1475C42—431no—
1476C42—431no—
1477C42—861no—
1478C42—861no—
1479C42—861no—
1480C42—861no—
1481C42—861no—
1482C42—861no—
1483C42—861no—
1484C42—861no—
1485C42—861no—
1486C42—861no—
1487C42—861no—
1488C42—861no—
1489C42—861no—
1490C42—861no—
1491C42—861no—
1492C42C23×D4311yescharacteristic
1493C23—431no—
1494C23—431no—
1495C23—431no—
1496C23C2×D4×D4311yescharacteristic
1497C23C2×D4×D4311yescharacteristic
1498Q8—21no—
1499Q8—21no—
1500Q8—21no—
1501Q8—21no—
1502Q8—42no—
1503Q8—862no—
1504Q8—862no—
1505Q8—861no—
1506Q8—861no—
1507Q8—861no—
1508Q8—861no—
1509Q8—3441no—
1510Q8—3441no—
1511Q8—1722no—
1512Q8—1722no—
1513Q8—1722no—
1514D4—41no—
1515D4—862no—
1516D4—862no—
1517D4—862no—
1518D4—862no—
1519D4—862no—
1520D4—862no—
1521D4—1721no—
1522D4—1721no—
1523D4—1721no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—81no—
1537C2×C4—431no—
1538C2×C4—432no—
1539C2×C4—432no—
1540C2×C4—431no—
1541C2×C4—431no—
1542C2×C4—431no—
1543C2×C4—431no—
1544C2×C4—861no—
1545C2×C4—861no—
1546C2×C4—861no—
1547C2×C4—861no—
1548C2×C4—861no—
1549C2×C4—861no—
1550C2×C4—861no—
1551C2×C4—861no—
1552C2×C4—861no—
1553C2×C4—861no—
1554C2×C4—861no—
1555C2×C4—861no—
1556C2×C4—3441no—
1557C2×C4—3441no—
1558C2×C4—3441no—
1559C2×C4—3441no—
1560C2×C4—3441no—
1561C2×C4—3441no—
1562C2×C4—3441no—
1563C2×C4—3441no—
1564C2×C4—3441no—
1565C2×C4—1721no—
1566C2×C4—1721no—
1567C2×C4—1722no—
1568C2×C4—1722no—
1569C2×C4C2×D4×D4311yescharacteristic
1570C2×C4C2×D4×D4311yescharacteristic
1571C2×C4C2×D4×D4311yescharacteristic
1572C2×C4C2×D4×D4311yescharacteristic
1573C2×C4C24×D4311yescharacteristic
1574C8—21no—
1575C8—21no—
1576C8—21no—
1577C8—432no—
1578C8—861no—
1579C8—861no—
1580C8—861no—
1581C8#41×D4312yes—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—21no—
1587C22—21no—
1588C22—432no—
1589C22—861no—
1590C22—861no—
1591C22—861no—
1592C22—861no—
1593C22—861no—
1594C22—861no—
1595C22—861no—
1596C22—861no—
1597C22C22×D4×D4311yescharacteristic
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—432no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—1721no—
1616C4—1721no—
1617C4—1721no—
1618C4—1721no—
1619C4—1721no—
1620C4—1721no—
1621C4—1721no—
1622C4—1721no—
1623C4C2×#41×D4311yescharacteristic
1624C42−1+4×D4311yescharacteristic
1625C2—41no—
1626C2—41no—
1627C2—862no—
1628C2—1721no—
1629C2—1721no—
1630C2#547×D4311yescharacteristic
1631C2#1914937911yescharacteristic
1632C2#1914938011yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3349C2
socleC22×C43C23×D4
prime radical#14583446C22
hypercenter#3349D43
hypocenterC43#61292
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3349

Complements

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

NH ≅ G/Ntype
3. #19147129C2semidirect
4. #19147128C2semidirect
5. #19147124C2semidirect
6. #19147122C2semidirect
7. #19147121C2semidirect
8. #19147120C2semidirect
9. #19147119C2semidirect
10. #19147057C2semidirect
11. #19147056C2semidirect
12. #19147055C2semidirect
13. #19147052C2semidirect
14. #19147051C2semidirect
15. #19147050C2semidirect
16. #19147048C2semidirect
17. #19147043C2semidirect
18. #19145116C2semidirect
19. #19144563C2semidirect
20. #19144561C2semidirect
21. #19144561C2semidirect
22. #19144559C2semidirect
23. #19144401C2semidirect
24. #19144398C2semidirect
25. #19144248C2semidirect
26. #19144245C2semidirect
27. #441×D43C2semidirect
29. #19143189C2semidirect
30. #19143187C2semidirect
31. C43×#3349C2semidirect
818. #3349D43semidirect
1019. C43#61292semidirect

Maximal subgroups

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

subgroupindex
#191484542
#191484502
#191471292
#191471282
#191471242
#191471222
#191471212
#191471202
#191471192
#191470572
#191470562
#191470552
#191470522
#191470512
#191470502
#191470482
#191470432
#191451162
#191445632
#191445612
#191445592
#191444012
#191443982
#191442482
#191442452
#441×D432
#191433092
#191431892
#191431872
C43×#33492
#6129243