Finite Group Databasebeta

← #25962839

Subgroups — #25962839

Order 11008.

1664 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148020C211yesmaximal, characteristic
2#19143763C211yesmaximal, characteristic, complemented
3#19143761C211yesmaximal, characteristic, complemented
4#19143761C211yesmaximal, characteristic, complemented
5#19143748C211yesmaximal, characteristic, complemented
6#19143742C211yesmaximal, characteristic, complemented
7#19143741C211yesmaximal, characteristic, complemented
8#19143739C211yesmaximal, characteristic, complemented
9#19143725C211yesmaximal, characteristic, complemented
10#19143707C211yesmaximal, characteristic, complemented
11#19143694C211yesmaximal, characteristic, complemented
12#19143692C211yesmaximal, characteristic, complemented
13#19143688C211yesmaximal, characteristic, complemented
14#19143687C211yesmaximal, characteristic, complemented
15#19143681C211yesmaximal, characteristic, complemented
16#19143604C211yesmaximal, characteristic, complemented
17#19143602C211yesmaximal, characteristic, complemented
18#19143597C211yesmaximal, characteristic, complemented
19#19143594C211yesmaximal, characteristic, complemented
20#19143591C211yesmaximal, characteristic, complemented
21#19143586C211yesmaximal, characteristic, complemented
22#19143578C211yesmaximal, characteristic, complemented
23#19143577C211yesmaximal, characteristic, complemented
24#19143565C211yesmaximal, characteristic, complemented
25#19143555C211yesmaximal, characteristic, complemented
26#19143547C211yesmaximal, characteristic, complemented
27#19143541C211yesmaximal, characteristic, complemented
28#19143532C211yesmaximal, characteristic, complemented
29#19143531C211yesmaximal, characteristic, complemented
30#19143528C211yesmaximal, characteristic, complemented
31C43×#2995C211yesmaximal, characteristic, complemented
32#14583529C411yescharacteristic
33#14583518C411yescharacteristic
34#14583517C411yescharacteristic
35#14583517C411yescharacteristic
36#14583516C411yescharacteristic
37#14583512C411yescharacteristic
38#14583509C411yescharacteristic
39#14583506C411yescharacteristic
40#14583506C411yescharacteristic
41#14583492C411yescharacteristic
42#14583492C411yescharacteristic
43#14583490C411yescharacteristic
44#14583490C411yescharacteristic
45#14583478C411yescharacteristic
46#14583472C411yescharacteristic
47#14583469C411yescharacteristic
48#14583456C2211yescharacteristic
49#14583453C2211yescharacteristic
50#14583452C2211yescharacteristic
51#14583452C2211yescharacteristic
52#14583431C2211yescharacteristic
53#14583431C2211yescharacteristic
54#14583431C2211yescharacteristic
55#14583429C2211yescharacteristic
56#14583429C2211yescharacteristic
57#14583427C2211yescharacteristic
58#14583427C2211yescharacteristic
59C4×#10621898C2211yescharacteristic
60C4×#10621900C2211yescharacteristic
61C4×Q8×D43C2211yescharacteristic
62#14583030C2211yescharacteristic
63#14583030C2211yescharacteristic
64#14583029C2211yescharacteristic
65#14583028C2211yescharacteristic
66#14583028C2211yescharacteristic
67#14583028C2211yescharacteristic
68#14583028C2211yescharacteristic
69#14583028C2211yescharacteristic
70#14583028C2211yescharacteristic
71#14583028C2211yescharacteristic
72#14583028C2211yescharacteristic
73#14583028C2211yescharacteristic
74#14583028C2211yescharacteristic
75#14583028C2211yescharacteristic
76#14583028C2211yescharacteristic
77#14583028C2211yescharacteristic
78#14583028C2211yescharacteristic
79#14583027C2211yescharacteristic
80#14583027C2211yescharacteristic
81#14583027C2211yescharacteristic
82#14583027C2211yescharacteristic
83#14583027C2211yescharacteristic
84#14583027C2211yescharacteristic
85#14583027C2211yescharacteristic
86#14583027C2211yescharacteristic
87#14583026C2211yescharacteristic
88#14583026C2211yescharacteristic
89#14583026C2211yescharacteristic
90C8×Dic86C2211yescharacteristic
91C8×Dic86C2211yescharacteristic
92C8×Dic86C2211yescharacteristic
93#14583023C2211yescharacteristic
94#14583023C2211yescharacteristic
95#14583023C2211yescharacteristic
96#14583023C2211yescharacteristic
97#14583023C2211yescharacteristic
98#14583023C2211yescharacteristic
99#14583023C2211yescharacteristic
100#14582976C2211yescharacteristic
101#14582976C2211yescharacteristic
102#14582975C2211yescharacteristic
103#14582975C2211yescharacteristic
104#14582975C2211yescharacteristic
105#14582975C2211yescharacteristic
106#14582975C2211yescharacteristic
107#14582975C2211yescharacteristic
108#14582975C2211yescharacteristic
109#14582974C2211yescharacteristic
110#14582974C2211yescharacteristic
111#14582974C2211yescharacteristic
112#14582973C2211yescharacteristic
113#14582971C2211yescharacteristic
114#14582971C2211yescharacteristic
115#14582971C2211yescharacteristic
116#14582971C2211yescharacteristic
117#14582970C2211yescharacteristic
118#14582970C2211yescharacteristic
119#14582970C2211yescharacteristic
120#14582969C2211yescharacteristic
121#14582969C2211yescharacteristic
122#14582968C2211yescharacteristic
123#14582967C2211yescharacteristic
124#14582967C2211yescharacteristic
125#14582967C2211yescharacteristic
126#14582967C2211yescharacteristic
127#14582967C2211yescharacteristic
128D4×C43⋊C8C2211yescharacteristic
129D4×C43⋊C8C2211yescharacteristic
130C8×C22⋊D43C2211yescharacteristic
131(C22⋊D43)⋊C8C2211yescharacteristic
132(C22⋊D43)⋊C8C2211yescharacteristic
133(C22⋊D43)⋊C8C2211yescharacteristic
134#14582961C2211yescharacteristic
135#14582960C2211yescharacteristic
136#14582960C2211yescharacteristic
137#14582959C2211yescharacteristic
138#14582959C2211yescharacteristic
139#14582958C2211yescharacteristic
140#14582957C2211yescharacteristic
141#14582957C2211yescharacteristic
142#14582957C2211yescharacteristic
143#14582957C2211yescharacteristic
144#14582957C2211yescharacteristic
145#14582957C2211yescharacteristic
146#14582957C2211yescharacteristic
147#14582957C2211yescharacteristic
148#14582955C2211yescharacteristic
149#14582954C2211yescharacteristic
150#14582954C2211yescharacteristic
151#14582954C2211yescharacteristic
152#14582953C2211yescharacteristic
153#14582952C2211yescharacteristic
154#14582951C2211yescharacteristic
155#14582951C2211yescharacteristic
156#14582951C2211yescharacteristic
157#14582950C2211yescharacteristic
158#14582949C2211yescharacteristic
159#14582949C2211yescharacteristic
160#14582949C2211yescharacteristic
161#14582927C2211yescharacteristic
162#14582927C2211yescharacteristic
163#14582927C2211yescharacteristic
164#14582925C2211yescharacteristic
165#14582924C2211yescharacteristic
166#14582924C2211yescharacteristic
167#14582922C2211yescharacteristic
168#14582921C2211yescharacteristic
169#14582921C2211yescharacteristic
170#14582921C2211yescharacteristic
171#14582921C2211yescharacteristic
172C2×Dic43⋊C8C2211yescharacteristic
173#14582857C2211yescharacteristic
174#14582857C2211yescharacteristic
175#14582857C2211yescharacteristic
176#14582856C2211yescharacteristic
177#14582855C2211yescharacteristic
178#14582855C2211yescharacteristic
179#14582854C2211yescharacteristic
180#14582853C2211yescharacteristic
181#14582851C2211yescharacteristic
182#14582851C2211yescharacteristic
183M16×Dic43C2211yescharacteristic
184C4×#10621872C2211yescharacteristic
185C2×#13063236C2211yescharacteristic
186#97×D43C2211yescharacteristic
187C2×C8×Dic43C2211yescharacteristic
188C43×#529C2211yescharacteristic
189C43×#446C2211yescharacteristic
190C43×#446C2211yescharacteristic
191C43×#436C2211yescharacteristic
192C43×#436C2211yescharacteristic
193C43×#435C2211yescharacteristic
194C43×#435C2211yescharacteristic
195C43×#435C2211yescharacteristic
196C43×#435C2211yescharacteristic
197C43×#433C2211yescharacteristic
198C43×#433C2211yescharacteristic
199C43×#432C2211yescharacteristic
200C43×#424C2211yescharacteristic
201C43×#424C2211yescharacteristic
202C43×#423C2211yescharacteristic
203C2×#10621898C2×C411yescharacteristic
204C2×#10621900C2×C411yescharacteristic
205C2×Q8×D43C2×C411yescharacteristic
206C2×#10621877C2311yescharacteristic
207C2×#10621877C2311yescharacteristic
208C2×#10621872C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×#10621872C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C22×C43⋊C8C2311yescharacteristic
215C22×C43⋊C8C2311yescharacteristic
216C22×C43⋊C8C2311yescharacteristic
217C22×C43⋊C8C2311yescharacteristic
218C2×C8×D43C2311yescharacteristic
219C2×C8×D43C2311yescharacteristic
220#13063325C2×C411yescharacteristic
221#13063325C2×C411yescharacteristic
222#13063324C2×C411yescharacteristic
223#13063324C2×C411yescharacteristic
224#13063324C2×C411yescharacteristic
225#13063324C2×C411yescharacteristic
226#13063324C2×C411yescharacteristic
227#13063323C2×C411yescharacteristic
228#13063320C2×C411yescharacteristic
229#13063320C2×C411yescharacteristic
230#13063320C2×C411yescharacteristic
231#13063320C2×C411yescharacteristic
232#13063318C2×C411yescharacteristic
233#13063318C2×C411yescharacteristic
234#13063318C2×C411yescharacteristic
235#13063318C2×C411yescharacteristic
236#13063318C2×C411yescharacteristic
237#13063318C2×C411yescharacteristic
238#13063318C2×C411yescharacteristic
239#13063318C2×C411yescharacteristic
240#13063318C2×C411yescharacteristic
241#13063318C2×C411yescharacteristic
242#13063317C2×C411yescharacteristic
243#13063317C2×C411yescharacteristic
244#13063316C2×C411yescharacteristic
245#13063316C2×C411yescharacteristic
246#13063316C2×C411yescharacteristic
247#13063316C2×C411yescharacteristic
248#13063316C2×C411yescharacteristic
249#13063316C2×C411yescharacteristic
250#13063316C2×C411yescharacteristic
251#13063315C2×C411yescharacteristic
252#13063315C2×C411yescharacteristic
253#13063315C2×C411yescharacteristic
254#13063315C2×C411yescharacteristic
255#13063315C2×C411yescharacteristic
256#13063315C2×C411yescharacteristic
257#13063312C2×C411yescharacteristic
258#13063312C2×C411yescharacteristic
259#13063312C2×C411yescharacteristic
260#13063311C2×C411yescharacteristic
261#13063311C2×C411yescharacteristic
262#13063311C2×C411yescharacteristic
263#13063311C2×C411yescharacteristic
264#13063310C2×C411yescharacteristic
265#13063310C2×C411yescharacteristic
266#13063309C2×C411yescharacteristic
267#13063309C2×C411yescharacteristic
268#13063307C2×C411yescharacteristic
269#13063307C2×C411yescharacteristic
270#13063307C2×C411yescharacteristic
271#13063307C2×C411yescharacteristic
272#13063307C2×C411yescharacteristic
273#13063307C2×C411yescharacteristic
274#13063307C2×C411yescharacteristic
275#13063307C2×C411yescharacteristic
276#13063306C2×C411yescharacteristic
277#13063306C2×C411yescharacteristic
278#13063305C2×C411yescharacteristic
279#13063305C2×C411yescharacteristic
280#13063305C2×C411yescharacteristic
281#13063305C2×C411yescharacteristic
282#13063304C2×C411yescharacteristic
283#13063304C2×C411yescharacteristic
284#13063304C2×C411yescharacteristic
285#13063304C2×C411yescharacteristic
286#13063303C2×C411yescharacteristic
287#13063303C2×C411yescharacteristic
288#13063303C2×C411yescharacteristic
289#13063303C2×C411yescharacteristic
290#13063302C2×C411yescharacteristic
291#13063302C2×C411yescharacteristic
292#13063302C2×C411yescharacteristic
293#13063302C2×C411yescharacteristic
294#13063302C2×C411yescharacteristic
295#13063302C2×C411yescharacteristic
296#13063302C2×C411yescharacteristic
297#13063302C2×C411yescharacteristic
298#13063302C2×C411yescharacteristic
299#13063302C2×C411yescharacteristic
300#13063301C2×C411yescharacteristic
301#13063298C2×C411yescharacteristic
302#13063298C2×C411yescharacteristic
303#13063297C2×C411yescharacteristic
304#13063297C2×C411yescharacteristic
305#13063296C2×C411yescharacteristic
306#13063296C2×C411yescharacteristic
307#13063296C2×C411yescharacteristic
308Q8×Dic43C2×C411yescharacteristic
309C4×Dic86C2×C411yescharacteristic
310C4×Dic86C2311yescharacteristic
311C4×Dic86C2311yescharacteristic
312C4×Dic86C2311yescharacteristic
313C4×Dic86C2311yescharacteristic
314C4×Dic86C2311yescharacteristic
315C4×Dic86C2311yescharacteristic
316C4×Dic86C2311yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319#13063290C2×C411yescharacteristic
320#13063290C2×C411yescharacteristic
321#13063290C2×C411yescharacteristic
322#13063290C2×C411yescharacteristic
323C4×D172C2×C411yescharacteristic
324C4×D172C2311yescharacteristic
325D4×Dic43C2×C411yescharacteristic
326C4×C22⋊D43C2×C411yescharacteristic
327C4×C22⋊D43C2×C411yescharacteristic
328C4×C22⋊D43C2311yescharacteristic
329C4×C22⋊D43C2311yescharacteristic
330C4×C22⋊D43C2311yescharacteristic
331C4×C22⋊D43C2311yescharacteristic
332C4×C22⋊D43C2311yescharacteristic
333C4×C22⋊D43C2311yescharacteristic
334(C22⋊D43)⋊C4C2×C411yescharacteristic
335(C22⋊D43)⋊C4C2×C411yescharacteristic
336#13063284C2×C411yescharacteristic
337#13063284C2311yescharacteristic
338#13063284C2311yescharacteristic
339#13063284C2311yescharacteristic
340#13063284C2311yescharacteristic
341#13063283C2×C411yescharacteristic
342#13063282C2×C411yescharacteristic
343#13063282C2×C411yescharacteristic
344#13063282C2311yescharacteristic
345#13063282C2311yescharacteristic
346#13063281C2×C411yescharacteristic
347#13063281C2×C411yescharacteristic
348C4⋊C4×D43C2×C411yescharacteristic
349C4⋊C4×D43C2×C411yescharacteristic
350C4⋊C4×D43C2×C411yescharacteristic
351C2×C4×Dic43C2311yescharacteristic
352C2×C4×Dic43C2311yescharacteristic
353C42×D43C2311yescharacteristic
354C42×D43C2311yescharacteristic
355C42×D43C2311yescharacteristic
356C42×D43C2311yescharacteristic
357C4⋊(C43⋊C8)C2311yescharacteristic
358C4⋊(C43⋊C8)C2311yescharacteristic
359C4⋊(C43⋊C8)C2311yescharacteristic
360C4⋊(C43⋊C8)C2311yescharacteristic
361C4⋊(C43⋊C8)C2311yescharacteristic
362C4⋊(C43⋊C8)C2311yescharacteristic
363Dic43⋊C8C2311yescharacteristic
364Dic43⋊C8C2311yescharacteristic
365Dic43⋊C8C2311yescharacteristic
366Dic43⋊C8C2311yescharacteristic
367Dic43⋊C8C2311yescharacteristic
368Dic43⋊C8C2311yescharacteristic
369Dic43⋊C8C2311yescharacteristic
370Dic43⋊C8C2311yescharacteristic
371Dic43⋊C8C2311yescharacteristic
372Dic43⋊C8C2311yescharacteristic
373Dic43⋊C8C2311yescharacteristic
374Dic43⋊C8C2311yescharacteristic
375Dic43⋊C8C2311yescharacteristic
376Dic43⋊C8C2311yescharacteristic
377Dic43⋊C8C2311yescharacteristic
378Dic43⋊C8C2311yescharacteristic
379Dic43⋊C8C2311yescharacteristic
380Dic43⋊C8C2311yescharacteristic
381Dic43⋊C8C2311yescharacteristic
382Dic43⋊C8C2311yescharacteristic
383Dic43⋊C8C2311yescharacteristic
384Dic43⋊C8C2311yescharacteristic
385Dic43⋊C8C2311yescharacteristic
386Dic43⋊C8C2311yescharacteristic
387C22⋊(C43⋊C8)C2311yescharacteristic
388C22⋊(C43⋊C8)C2311yescharacteristic
389C22⋊(C43⋊C8)C2311yescharacteristic
390C22⋊(C43⋊C8)C2311yescharacteristic
391C22⋊(C43⋊C8)C2311yescharacteristic
392C22⋊(C43⋊C8)C2311yescharacteristic
393(C2×D43)⋊C8C2311yescharacteristic
394(C2×D43)⋊C8C2311yescharacteristic
395(C2×D43)⋊C8C2311yescharacteristic
396(C2×D43)⋊C8C2311yescharacteristic
397(C2×D43)⋊C8C2311yescharacteristic
398(C2×D43)⋊C8C2311yescharacteristic
399(C2×D43)⋊C8C2311yescharacteristic
400(C2×D43)⋊C8C2311yescharacteristic
401#13063236C2311yescharacteristic
402#13063236C2311yescharacteristic
403#13063236C2311yescharacteristic
404#13063236C2311yescharacteristic
405#13063236C2311yescharacteristic
406#13063236C2311yescharacteristic
407#13063235C2311yescharacteristic
408#13063235C2311yescharacteristic
409#13063235C2311yescharacteristic
410#13063235C2311yescharacteristic
411#13063235C2311yescharacteristic
412#13063235C2311yescharacteristic
413#13063235C2311yescharacteristic
414#13063235C2311yescharacteristic
415#13063235C2311yescharacteristic
416#13063235C2311yescharacteristic
417C4×C43⋊C8C2311yescharacteristic
418C4×C43⋊C8C2311yescharacteristic
419C4×C43⋊C8C2311yescharacteristic
420C4×C43⋊C8C2311yescharacteristic
421C8×Dic43C2311yescharacteristic
422C8×Dic43C2311yescharacteristic
423C8×Dic43C2311yescharacteristic
424C8×Dic43C2311yescharacteristic
425C8×Dic43C2311yescharacteristic
426C8×Dic43C2311yescharacteristic
427C8×Dic43C2311yescharacteristic
428C8×Dic43C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C2×M16×C43C2311yescharacteristic
436C2×M16×C43C2311yescharacteristic
437C2×M16×C43C2311yescharacteristic
438C2×M16×C43C2311yescharacteristic
439C22×C8×C43C2311yescharacteristic
440C22×C8×C43C2311yescharacteristic
441#126×C43C2×C411yescharacteristic
442#126×C43C2×C411yescharacteristic
443#125×C43C2×C411yescharacteristic
444#124×C43C2×C411yescharacteristic
445#123×C43C2×C411yescharacteristic
446#123×C43C2×C411yescharacteristic
447C22⋊Q8×C43C2×C411yescharacteristic
448#121×C43C2×C411yescharacteristic
449C4×Q8×C43C2311yescharacteristic
450C4×D4×C43C2311yescharacteristic
451C4×D4×C43C2311yescharacteristic
452C4×D4×C43C2311yescharacteristic
453#117×C43C2311yescharacteristic
454#117×C43C2311yescharacteristic
455C2×C42×C43C2311yescharacteristic
456C4⋊C8×C43C2311yescharacteristic
457C4⋊C8×C43C2311yescharacteristic
458C4⋊C8×C43C2311yescharacteristic
459C4⋊C8×C43C2311yescharacteristic
460C4⋊C8×C43C2311yescharacteristic
461C4⋊C8×C43C2311yescharacteristic
462C4⋊C8×C43C2311yescharacteristic
463C4⋊C8×C43C2311yescharacteristic
464C4⋊C8×C43C2311yescharacteristic
465C4⋊C8×C43C2311yescharacteristic
466C22⋊C8×C43C2311yescharacteristic
467C22⋊C8×C43C2311yescharacteristic
468C22⋊C8×C43C2311yescharacteristic
469C22⋊C8×C43C2311yescharacteristic
470C22⋊C8×C43C2311yescharacteristic
471C22⋊C8×C43C2311yescharacteristic
472#97×C43C2311yescharacteristic
473#97×C43C2311yescharacteristic
474#97×C43C2311yescharacteristic
475#97×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43C22×C411yescharacteristic
479C2×D4×C43C22×C411yescharacteristic
480C2×D4×C43C22×C411yescharacteristic
481C2×D4×C43C22×C411yescharacteristic
482C22×C4×C43C22×C411yescharacteristic
483C22×C4×C43C22×C411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C22×C4×C43C2411yescharacteristic
486C22×C4×C43C2411yescharacteristic
487C2×C22⋊D43C22×C411yescharacteristic
488C2×C22⋊D43C22×C411yescharacteristic
489C2×C22⋊D43C22×C411yescharacteristic
490C2×C22⋊D43C22×C411yescharacteristic
491C2×C22⋊D43C22×C411yescharacteristic
492C2×C22⋊D43C22×C411yescharacteristic
493C22×Dic43C22×C411yescharacteristic
494C22×Dic43C22×C411yescharacteristic
495C22×Dic43C22×C411yescharacteristic
496C22×Dic43C22×C411yescharacteristic
497Q8×D43—42no—
498#10621900—42no—
499#10621898—42no—
500C2×D172C22×C411yescharacteristic
501C2×C4×D43C22×C411yescharacteristic
502C2×C4×D43C22×C411yescharacteristic
503C2×C4×D43C22×C411yescharacteristic
504C2×C4×D43C22×C411yescharacteristic
505C2×C4×D43C22×C411yescharacteristic
506C2×C4×D43C22×C411yescharacteristic
507C2×C4×D43C22×C411yescharacteristic
508C2×C4×D43C22×C411yescharacteristic
509C2×C4×D43C2411yescharacteristic
510C2×C4×D43C2411yescharacteristic
511C2×Dic86C22×C411yescharacteristic
512C2×Dic86C22×C411yescharacteristic
513C2×Dic86C22×C411yescharacteristic
514C2×Dic86C22×C411yescharacteristic
515C2×Dic86C22×C411yescharacteristic
516C2×Dic86C22×C411yescharacteristic
517C2×Dic86C22×C411yescharacteristic
518C2×Dic86C22×C411yescharacteristic
519C2×Dic86C22×C411yescharacteristic
520M16×C43—41no—
521M16×C43—41no—
522M16×C43—41no—
523M16×C43—41no—
524C2×C8×C43—41no—
525C2×C8×C43—41no—
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C2×C8×C43C2411yescharacteristic
529C2×C8×C43C2411yescharacteristic
530C2×C8×C43C2411yescharacteristic
531C2×C8×C43C2411yescharacteristic
532C2×C8×C43C2411yescharacteristic
533C2×C8×C43C2411yescharacteristic
534C4⋊C4×C43C22×C411yescharacteristic
535C4⋊C4×C43C22×C411yescharacteristic
536C4⋊C4×C43C22×C411yescharacteristic
537C4⋊C4×C43C22×C411yescharacteristic
538C4⋊C4×C43C22×C411yescharacteristic
539C4⋊C4×C43C22×C411yescharacteristic
540C4⋊C4×C43C22×C411yescharacteristic
541C4⋊C4×C43C22×C411yescharacteristic
542C4⋊C4×C43C22×C411yescharacteristic
543C4⋊C4×C43C22×C411yescharacteristic
544C22⋊C4×C43C22×C411yescharacteristic
545C22⋊C4×C43C22×C411yescharacteristic
546C22⋊C4×C43C22×C411yescharacteristic
547C22⋊C4×C43C22×C411yescharacteristic
548C22⋊C4×C43C22×C411yescharacteristic
549C22⋊C4×C43C22×C411yescharacteristic
550C22⋊C4×C43C22×C411yescharacteristic
551C22⋊C4×C43C22×C411yescharacteristic
552C22⋊C4×C43C22×C411yescharacteristic
553C22⋊C4×C43C22×C411yescharacteristic
554C42×C43C22×C411yescharacteristic
555C42×C43C22×C411yescharacteristic
556C42×C43C2411yescharacteristic
557C42×C43C2411yescharacteristic
558C42×C43C2411yescharacteristic
559C42×C43C2411yescharacteristic
560C22⋊Dic43C22×C411yescharacteristic
561C22⋊Dic43C22×C411yescharacteristic
562C22⋊Dic43C22×C411yescharacteristic
563C22⋊Dic43C22×C411yescharacteristic
564C22⋊Dic43C22×C411yescharacteristic
565C22⋊Dic43C22×C411yescharacteristic
566C22⋊Dic43C22×C411yescharacteristic
567C22⋊Dic43C22×C411yescharacteristic
568C22⋊Dic43C22×C411yescharacteristic
569C22⋊Dic43C22×C411yescharacteristic
570C22⋊Dic43C22×C411yescharacteristic
571C22⋊Dic43C22×C411yescharacteristic
572C22⋊Dic43C22×C411yescharacteristic
573C22⋊Dic43C22×C411yescharacteristic
574(C2×D43)⋊C4C22×C411yescharacteristic
575(C2×D43)⋊C4C22×C411yescharacteristic
576(C2×D43)⋊C4C22×C411yescharacteristic
577(C2×D43)⋊C4C22×C411yescharacteristic
578(C2×D43)⋊C4C22×C411yescharacteristic
579(C2×D43)⋊C4C22×C411yescharacteristic
580(C2×D43)⋊C4C22×C411yescharacteristic
581(C2×D43)⋊C4C22×C411yescharacteristic
582(C2×D43)⋊C4C22×C411yescharacteristic
583(C2×D43)⋊C4C22×C411yescharacteristic
584(C2×D43)⋊C4C22×C411yescharacteristic
585(C2×D43)⋊C4C22×C411yescharacteristic
586C4⋊Dic43C22×C411yescharacteristic
587C4⋊Dic43C22×C411yescharacteristic
588C4⋊Dic43C22×C411yescharacteristic
589C4⋊Dic43C22×C411yescharacteristic
590C4⋊Dic43C22×C411yescharacteristic
591C4⋊Dic43C22×C411yescharacteristic
592C4⋊Dic43C22×C411yescharacteristic
593C4⋊Dic43C22×C411yescharacteristic
594C4⋊Dic43C22×C411yescharacteristic
595C4⋊Dic43C22×C411yescharacteristic
596C4⋊Dic43C22×C411yescharacteristic
597C4⋊Dic43C22×C411yescharacteristic
598C4⋊Dic43C22×C411yescharacteristic
599C4⋊Dic43C22×C411yescharacteristic
600C4⋊Dic43C22×C411yescharacteristic
601C4⋊Dic43C22×C411yescharacteristic
602C4⋊Dic43C22×C411yescharacteristic
603C4⋊Dic43C22×C411yescharacteristic
604Dic43⋊C4C22×C411yescharacteristic
605Dic43⋊C4C22×C411yescharacteristic
606Dic43⋊C4C22×C411yescharacteristic
607Dic43⋊C4C22×C411yescharacteristic
608Dic43⋊C4C22×C411yescharacteristic
609Dic43⋊C4C22×C411yescharacteristic
610Dic43⋊C4C22×C411yescharacteristic
611Dic43⋊C4C22×C411yescharacteristic
612Dic43⋊C4C22×C411yescharacteristic
613Dic43⋊C4C22×C411yescharacteristic
614Dic43⋊C4C22×C411yescharacteristic
615Dic43⋊C4C22×C411yescharacteristic
616Dic43⋊C4C22×C411yescharacteristic
617Dic43⋊C4C22×C411yescharacteristic
618Dic43⋊C4C22×C411yescharacteristic
619Dic43⋊C4C22×C411yescharacteristic
620Dic43⋊C4C22×C411yescharacteristic
621Dic43⋊C4C22×C411yescharacteristic
622Dic43⋊C4C22×C411yescharacteristic
623Dic43⋊C4C22×C411yescharacteristic
624Dic43⋊C4C22×C411yescharacteristic
625Dic43⋊C4C22×C411yescharacteristic
626Dic43⋊C4C22×C411yescharacteristic
627Dic43⋊C4C22×C411yescharacteristic
628Dic43⋊C4C22×C411yescharacteristic
629Dic43⋊C4C22×C411yescharacteristic
630Dic43⋊C4C22×C411yescharacteristic
631Dic43⋊C4C22×C411yescharacteristic
632C4×Dic43C22×C411yescharacteristic
633C4×Dic43C22×C411yescharacteristic
634C4×Dic43C22×C411yescharacteristic
635C4×Dic43C22×C411yescharacteristic
636C4×Dic43C22×C411yescharacteristic
637C4×Dic43C22×C411yescharacteristic
638C4×Dic43C22×C411yescharacteristic
639C4×Dic43C22×C411yescharacteristic
640C4×Dic43C22×C411yescharacteristic
641C4×Dic43C22×C411yescharacteristic
642C4×Dic43C22×C411yescharacteristic
643C4×Dic43C22×C411yescharacteristic
644C4×Dic43C2411yescharacteristic
645C4×Dic43C2411yescharacteristic
646C4×Dic43C2411yescharacteristic
647C4×Dic43C2411yescharacteristic
648C4×Dic43C2411yescharacteristic
649C4×Dic43C2411yescharacteristic
650#10621877—22no—
651#10621877—41no—
652C2×C43⋊C8—22no—
653C2×C43⋊C8—22no—
654C2×C43⋊C8—41no—
655C2×C43⋊C8—41no—
656C2×C43⋊C8C2411yescharacteristic
657C2×C43⋊C8C2411yescharacteristic
658C2×C43⋊C8C2411yescharacteristic
659C2×C43⋊C8C2411yescharacteristic
660C2×C43⋊C8C2411yescharacteristic
661C2×C43⋊C8C2411yescharacteristic
662C2×C43⋊C8C2411yescharacteristic
663C2×C43⋊C8C2411yescharacteristic
664#10621872—22no—
665#10621872—41no—
666#10621872—41no—
667#10621872—41no—
668#10621872—41no—
669#10621872—41no—
670C8×D43—22no—
671C8×D43—41no—
672C23×C43C23×C411yescharacteristic
673C23×C43C23×C411yescharacteristic
674C23×C43C23×C411yescharacteristic
675C22×D43C23×C411yescharacteristic
676C22×D43C23×C411yescharacteristic
677Q8×C43—41no—
678D4×C43—41no—
679D4×C43—41no—
680D4×C43—41no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—41no—
688C2×C4×C43—41no—
689C2×C4×C43C23×C411yescharacteristic
690C2×C4×C43C23×C411yescharacteristic
691C2×C4×C43C23×C411yescharacteristic
692C2×C4×C43C23×C411yescharacteristic
693C2×C4×C43C23×C411yescharacteristic
694C2×C4×C43C23×C411yescharacteristic
695C2×C4×C43C23×C411yescharacteristic
696C2×C4×C43C23×C411yescharacteristic
697C2×C4×C43C23×C411yescharacteristic
698C2×C4×C43C23×C411yescharacteristic
699C2×C4×C43C23×C411yescharacteristic
700C2×C4×C43C2511yescharacteristic
701C22⋊D43—22no—
702C22⋊D43—41no—
703C22⋊D43—41no—
704C22⋊D43—41no—
705C22⋊D43—41no—
706C22⋊D43—41no—
707C2×Dic43—22no—
708C2×Dic43—22no—
709C2×Dic43—41no—
710C2×Dic43—41no—
711C2×Dic43C23×C411yescharacteristic
712C2×Dic43C23×C411yescharacteristic
713C2×Dic43C23×C411yescharacteristic
714C2×Dic43C23×C411yescharacteristic
715C2×Dic43C23×C411yescharacteristic
716C2×Dic43C23×C411yescharacteristic
717C2×Dic43C23×C411yescharacteristic
718C2×Dic43C23×C411yescharacteristic
719C2×Dic43C23×C411yescharacteristic
720C2×Dic43C23×C411yescharacteristic
721C2×Dic43C23×C411yescharacteristic
722C2×Dic43C23×C411yescharacteristic
723C2×Dic43C23×C411yescharacteristic
724C2×Dic43C23×C411yescharacteristic
725D172—41no—
726C4×D43—21no—
727C4×D43—21no—
728C4×D43—21no—
729C4×D43—21no—
730C4×D43—22no—
731C4×D43—41no—
732C4×D43—41no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—41no—
736C4×D43—41no—
737C4×D43—41no—
738Dic86—22no—
739Dic86—22no—
740Dic86—22no—
741Dic86—41no—
742Dic86—41no—
743Dic86—41no—
744Dic86—41no—
745Dic86—41no—
746Dic86—41no—
747C8×C43—21no—
748C8×C43—21no—
749C8×C43—21no—
750C8×C43—21no—
751C8×C43—21no—
752C8×C43—21no—
753C8×C43—21no—
754C8×C43—21no—
755C43⋊C8—21no—
756C43⋊C8—21no—
757C43⋊C8—21no—
758C43⋊C8—21no—
759C43⋊C8—21no—
760C43⋊C8—21no—
761C43⋊C8—21no—
762C43⋊C82−1+412yes—
763#60344—431nomaximal, Sylow
764C22×C43—21no—
765C22×C43—21no—
766C22×C43—21no—
767C22×C43—21no—
768C22×C43—21no—
769C22×C43—21no—
770C22×C43—21no—
771C22×C43—21no—
772C22×C43—21no—
773C22×C43C24×C411yescharacteristic
774C2×D43—21no—
775C2×D43—21no—
776C2×D43—21no—
777C2×D43—21no—
778C2×D43—21no—
779C2×D43—21no—
780C4×C43—21no—
781C4×C43—21no—
782C4×C43—21no—
783C4×C43—21no—
784C4×C43—21no—
785C4×C43—21no—
786C4×C43—21no—
787C4×C43—21no—
788C4×C43—21no—
789C4×C43—21no—
790C4×C43—21no—
791C4×C43C2×2−1+411yescharacteristic
792C4×C43#58511yescharacteristic
793Dic43—21no—
794Dic43—21no—
795Dic43—21no—
796Dic43—21no—
797Dic43—21no—
798Dic43—21no—
799Dic43—21no—
800Dic43—21no—
801Dic43—21no—
802Dic43—21no—
803Dic43—21no—
804Dic43—21no—
805Dic43—21no—
806Dic43#56812yes—
807#3461—431no—
808#2995—431no—
809#2995—431no—
810#2995—431no—
811#2995D4311yescharacteristic, complemented
812#2994—431no—
813#2993—431no—
814#2993—431no—
815#2993—431no—
816#2991—431no—
817#2989—431no—
818#2986—431no—
819#2985—431no—
820#2985—431no—
821#2985—431no—
822#2984—431no—
823#2970—431no—
824#2969—431no—
825#2969—431no—
826#2969—431no—
827#2968—431no—
828#2968—431no—
829#2967—431no—
830#2967—431no—
831#2966—431no—
832#2965—431no—
833Q8×M16—431no—
834#2962—431no—
835#2961—431no—
836#2961—431no—
837#2960—431no—
838C2×C43—41no—
839C2×C43—41no—
840C2×C43—41no—
841C2×C43C4×2−1+411yescharacteristic
842C2×C43C2×#56811yescharacteristic
843C2×C43#357311yescharacteristic
844D43—41no—
845D43—41no—
846#544—431no—
847#542—431no—
848#542—431no—
849#542—431no—
850#542—431no—
851#541—431no—
852#541—431no—
853#541—431no—
854#541—431no—
855#539—431no—
856#539—431no—
857#539—431no—
858#539—431no—
859#537—431no—
860#536—431no—
861#536—431no—
862#533—431no—
863#533—431no—
864#533—431no—
865#533—431no—
866#529—431no—
867#529—431no—
868#529—431no—
869#529—431no—
870#529—431no—
871#529—431no—
872#529—431no—
873#529C2×D4311yescharacteristic
874C4×#41—431no—
875C4×#41—431no—
876C2×C4×Q8—431no—
877#446—431no—
878#446—431no—
879#446—431no—
880#446—431no—
881#446—431no—
882#446—431no—
883#446—431no—
884#446—431no—
885#446—431no—
886#446—431no—
887#446—431no—
888#446—431no—
889#446—431no—
890#446—431no—
891#446—431no—
892#446—431no—
893#446—431no—
894#446—431no—
895#446—431no—
896#446—431no—
897#446—431no—
898#446—431no—
899#446—431no—
900#446—431no—
901#446—431no—
902#446—431no—
903#446—431no—
904#446—431no—
905#446C2×D4311yescharacteristic
906#446C2×D4311yescharacteristic
907C8×Q8—431no—
908C8×Q8—431no—
909C8×Q8—431no—
910C8×Q8—431no—
911C8×Q8—431no—
912C8×Q8—431no—
913C8×Q8—431no—
914C8×Q8—431no—
915C8×Q8—431no—
916C8×Q8—431no—
917#436—431no—
918#436—431no—
919#436—431no—
920#436—431no—
921#436—431no—
922#436—431no—
923#436—431no—
924#436—431no—
925#436—431no—
926#436—431no—
927#436—431no—
928#436—431no—
929#436C2×D4311yescharacteristic
930#436C2×D4311yescharacteristic
931#435—431no—
932#435—431no—
933#435—431no—
934#435—431no—
935#435—431no—
936#435—431no—
937#435—431no—
938#435—431no—
939#435—431no—
940#435—431no—
941#435—431no—
942#435—431no—
943#435—431no—
944#435—431no—
945#435—431no—
946#435—431no—
947#435C2×D4311yescharacteristic
948#435C2×D4311yescharacteristic
949#435C2×D4311yescharacteristic
950#435C2×D4311yescharacteristic
951C8×D4—431no—
952C8×D4—431no—
953C8×D4—431no—
954C8×D4—431no—
955C8×D4—431no—
956C8×D4—431no—
957#433—431no—
958#433—431no—
959#433—431no—
960#433—431no—
961#433—431no—
962#433—431no—
963#433—431no—
964#433—431no—
965#433—431no—
966#433—431no—
967#433—431no—
968#433—431no—
969#433—431no—
970#433—431no—
971#433C2×D4311yescharacteristic
972#433C2×D4311yescharacteristic
973#432—431no—
974#432—431no—
975#432—431no—
976#432—431no—
977#432—431no—
978#432C2×D4311yescharacteristic
979#431—431no—
980#431—431no—
981#431—431no—
982#431—431no—
983#431—431no—
984#431—431no—
985#431—431no—
986#431—431no—
987#424—431no—
988#424—431no—
989#424—431no—
990#424—431no—
991#424—431no—
992#424—431no—
993#424C2×D4311yescharacteristic
994#424C2×D4311yescharacteristic
995#423—431no—
996#423—431no—
997#423—431no—
998#423—431no—
999#423—431no—
1000#423C2×D4311yescharacteristic
1001C2×C4⋊C8—431no—
1002#405—431no—
1003#405—431no—
1004#405—431no—
1005#405—431no—
1006#405—431no—
1007#405—431no—
1008#405—431no—
1009#405—431no—
1010C4×M16—431no—
1011C4×M16—431no—
1012C4×M16—431no—
1013C4×M16—431no—
1014C2×#97—431no—
1015C2×#97—431no—
1016C2×C4×C8—431no—
1017C43#6034411yescharacteristic, complemented, Sylow
1018C2×#41—431no—
1019C2×#41—431no—
1020C22×Q8—431no—
1021C2×M16—431no—
1022C2×M16—431no—
1023C2×M16—431no—
1024C2×M16—431no—
1025C2×M16—431no—
1026C2×M16—431no—
1027C2×M16—431no—
1028C2×M16—431no—
1029C2×M16C22×D4311yescharacteristic
1030C2×M16C22×D4311yescharacteristic
1031C2×M16C22×D4311yescharacteristic
1032C2×M16C22×D4311yescharacteristic
1033C22×C8—431no—
1034C22×C8—431no—
1035C22×C8—431no—
1036C22×C8—431no—
1037C22×C8—431no—
1038C22×C8—431no—
1039C22×C8C22×D4311yescharacteristic
1040C22×C8C22×D4311yescharacteristic
1041C4⋊Q8—431no—
1042C4⋊Q8—431no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8—431no—
1048C4⋊Q8—431no—
1049#126—431no—
1050#126—431no—
1051#126—431no—
1052#126—431no—
1053#126—431no—
1054#126—431no—
1055#126—431no—
1056#126—431no—
1057#126—431no—
1058#126—431no—
1059#126—431no—
1060#126—431no—
1061#126—431no—
1062#126—431no—
1063#126C4×D4311yescharacteristic
1064#126C4×D4311yescharacteristic
1065#125—431no—
1066#125—431no—
1067#125—431no—
1068#125—431no—
1069#125—431no—
1070#125—431no—
1071#125—431no—
1072#125—431no—
1073#125—431no—
1074#125—431no—
1075#125—431no—
1076#125—431no—
1077#125—431no—
1078#125—431no—
1079#125—431no—
1080#125C4×D4311yescharacteristic
1081#124—431no—
1082#124—431no—
1083#124—431no—
1084#124—431no—
1085#124—431no—
1086#124—431no—
1087#124—431no—
1088#124C4×D4311yescharacteristic
1089#123—431no—
1090#123—431no—
1091#123—431no—
1092#123—431no—
1093#123—431no—
1094#123—431no—
1095#123—431no—
1096#123—431no—
1097#123—431no—
1098#123—431no—
1099#123—431no—
1100#123—431no—
1101#123—431no—
1102#123—431no—
1103#123C4×D4311yescharacteristic
1104#123C4×D4311yescharacteristic
1105C22⋊Q8—431no—
1106C22⋊Q8—431no—
1107C22⋊Q8—431no—
1108C22⋊Q8—431no—
1109C22⋊Q8—431no—
1110C22⋊Q8—431no—
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—431no—
1124C22⋊Q8—431no—
1125C22⋊Q8—431no—
1126C22⋊Q8—431no—
1127C22⋊Q8—431no—
1128C22⋊Q8C4×D4311yescharacteristic
1129#121—431no—
1130#121—431no—
1131#121—431no—
1132#121—431no—
1133#121—431no—
1134#121—431no—
1135#121—431no—
1136#121C4×D4311yescharacteristic
1137C4×Q8—431no—
1138C4×Q8—431no—
1139C4×Q8—431no—
1140C4×Q8—431no—
1141C4×Q8—431no—
1142C4×Q8—431no—
1143C4×Q8—431no—
1144C4×Q8—431no—
1145C4×Q8—431no—
1146C4×Q8—431no—
1147C4×Q8—431no—
1148C4×Q8—431no—
1149C4×Q8—431no—
1150C4×Q8—431no—
1151C4×Q8—431no—
1152C4×Q8C22×D4311yescharacteristic
1153C4×D4—431no—
1154C4×D4—431no—
1155C4×D4—431no—
1156C4×D4—431no—
1157C4×D4—431no—
1158C4×D4—431no—
1159C4×D4—431no—
1160C4×D4—431no—
1161C4×D4—431no—
1162C4×D4—431no—
1163C4×D4—431no—
1164C4×D4—431no—
1165C4×D4—431no—
1166C4×D4C22×D4311yescharacteristic
1167C4×D4C22×D4311yescharacteristic
1168C4×D4C22×D4311yescharacteristic
1169#117—431no—
1170#117—431no—
1171#117—431no—
1172#117—431no—
1173#117—431no—
1174#117—431no—
1175#117—431no—
1176#117—431no—
1177#117—431no—
1178#117—431no—
1179#117—431no—
1180#117—431no—
1181#117C22×D4311yescharacteristic
1182#117C22×D4311yescharacteristic
1183C2×C4⋊C4—431no—
1184C2×C4⋊C4—431no—
1185C2×C4⋊C4—431no—
1186C2×C42—431no—
1187C2×C42—431no—
1188C2×C42—431no—
1189C2×C42—431no—
1190C2×C42—431no—
1191C2×C42—431no—
1192C2×C42C22×D4311yescharacteristic
1193C4⋊C8—431no—
1194C4⋊C8—431no—
1195C4⋊C8—431no—
1196C4⋊C8—431no—
1197C4⋊C8—431no—
1198C4⋊C8—431no—
1199C4⋊C8—431no—
1200C4⋊C8—431no—
1201C4⋊C8—431no—
1202C4⋊C8—431no—
1203C4⋊C8—431no—
1204C4⋊C8—431no—
1205C4⋊C8—431no—
1206C4⋊C8—431no—
1207C4⋊C8—431no—
1208C4⋊C8—431no—
1209C4⋊C8—431no—
1210C4⋊C8—431no—
1211C4⋊C8—431no—
1212C4⋊C8—431no—
1213C4⋊C8—431no—
1214C4⋊C8—431no—
1215C4⋊C8—431no—
1216C4⋊C8—431no—
1217C4⋊C8—431no—
1218C4⋊C8—431no—
1219C4⋊C8—431no—
1220C4⋊C8—431no—
1221C4⋊C8—431no—
1222C4⋊C8—431no—
1223C4⋊C8C22×D4311yescharacteristic
1224C4⋊C8C22×D4311yescharacteristic
1225C4⋊C8C22×D4311yescharacteristic
1226C4⋊C8C22×D4311yescharacteristic
1227C4⋊C8C22×D4311yescharacteristic
1228C4⋊C8C22×D4311yescharacteristic
1229C4⋊C8C22×D4311yescharacteristic
1230C4⋊C8C22×D4311yescharacteristic
1231C4⋊C8C22×D4311yescharacteristic
1232C4⋊C8C22×D4311yescharacteristic
1233C22⋊C8—431no—
1234C22⋊C8—431no—
1235C22⋊C8—431no—
1236C22⋊C8—431no—
1237C22⋊C8—431no—
1238C22⋊C8—431no—
1239C22⋊C8—431no—
1240C22⋊C8—431no—
1241C22⋊C8—431no—
1242C22⋊C8—431no—
1243C22⋊C8—431no—
1244C22⋊C8—431no—
1245C22⋊C8—431no—
1246C22⋊C8—431no—
1247C22⋊C8C22×D4311yescharacteristic
1248C22⋊C8C22×D4311yescharacteristic
1249C22⋊C8C22×D4311yescharacteristic
1250C22⋊C8C22×D4311yescharacteristic
1251C22⋊C8C22×D4311yescharacteristic
1252C22⋊C8C22×D4311yescharacteristic
1253#97—431no—
1254#97—431no—
1255#97—431no—
1256#97—431no—
1257#97—431no—
1258#97—431no—
1259#97—431no—
1260#97—431no—
1261#97—431no—
1262#97—431no—
1263#97—431no—
1264#97—431no—
1265#97—431no—
1266#97—431no—
1267#97—431no—
1268#97—431no—
1269#97C22×D4311yescharacteristic
1270#97C22×D4311yescharacteristic
1271#97C22×D4311yescharacteristic
1272#97C22×D4311yescharacteristic
1273C4×C8—431no—
1274C4×C8—431no—
1275C4×C8—431no—
1276C4×C8—431no—
1277C4×C8—431no—
1278C4×C8—431no—
1279C4×C8—431no—
1280C4×C8—431no—
1281C4×C8—431no—
1282C4×C8—431no—
1283C4×C8—431no—
1284C4×C8—431no—
1285C4×C8—431no—
1286C4×C8—431no—
1287C4×C8—431no—
1288C4×C8—431no—
1289C4×C8—431no—
1290C4×C8—431no—
1291C4×C8C22×D4311yescharacteristic
1292C4×C8C22×D4311yescharacteristic
1293#41—1722no—
1294#41—1722no—
1295C2×Q8—431no—
1296C2×Q8—431no—
1297C2×Q8—431no—
1298C2×Q8—431no—
1299C2×Q8—431no—
1300C2×Q8—431no—
1301C2×Q8—431no—
1302C2×Q8—431no—
1303C2×Q8—431no—
1304C2×Q8—1722no—
1305C2×Q8C2×C4×D4311yescharacteristic
1306C2×D4—431no—
1307C2×D4—431no—
1308C2×D4—431no—
1309C2×D4—431no—
1310C2×D4—431no—
1311C2×D4—431no—
1312C2×D4—431no—
1313C2×D4C2×C4×D4311yescharacteristic
1314C2×D4C2×C4×D4311yescharacteristic
1315C2×D4C2×C4×D4311yescharacteristic
1316C22×C4—431no—
1317C22×C4—431no—
1318C22×C4—431no—
1319C22×C4—431no—
1320C22×C4—431no—
1321C22×C4—431no—
1322C22×C4—431no—
1323C22×C4—431no—
1324C22×C4—431no—
1325C22×C4—431no—
1326C22×C4—431no—
1327C22×C4—431no—
1328C22×C4—431no—
1329C22×C4—431no—
1330C22×C4C2×C4×D4311yescharacteristic
1331C22×C4C2×C4×D4311yescharacteristic
1332C22×C4C23×D4311yescharacteristic
1333C22×C4C23×D4311yescharacteristic
1334C22×C4C23×D4311yescharacteristic
1335M16—41no—
1336M16—41no—
1337M16—41no—
1338M16—41no—
1339M16—862no—
1340M16—862no—
1341M16—1721no—
1342M16—1721no—
1343M16—1721no—
1344M16—1721no—
1345M16—1721no—
1346M16—1721no—
1347C2×C8—41no—
1348C2×C8—41no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—431no—
1352C2×C8—431no—
1353C2×C8—431no—
1354C2×C8—431no—
1355C2×C8—431no—
1356C2×C8—431no—
1357C2×C8—862no—
1358C2×C8—862no—
1359C2×C8—862no—
1360C2×C8—1721no—
1361C2×C8—1721no—
1362C2×C8—1721no—
1363C2×C8C23×D4311yescharacteristic
1364C2×C8C23×D4311yescharacteristic
1365C2×C8C23×D4311yescharacteristic
1366C2×C8C23×D4311yescharacteristic
1367C2×C8C23×D4311yescharacteristic
1368C2×C8C23×D4311yescharacteristic
1369C2×C8C23×D4311yescharacteristic
1370C2×C8C23×D4311yescharacteristic
1371C4⋊C4—431no—
1372C4⋊C4—431no—
1373C4⋊C4—431no—
1374C4⋊C4—431no—
1375C4⋊C4—431no—
1376C4⋊C4—431no—
1377C4⋊C4—431no—
1378C4⋊C4—431no—
1379C4⋊C4—431no—
1380C4⋊C4—431no—
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—431no—
1391C4⋊C4—431no—
1392C4⋊C4—431no—
1393C4⋊C4—431no—
1394C4⋊C4—431no—
1395C4⋊C4—431no—
1396C4⋊C4—431no—
1397C4⋊C4—431no—
1398C4⋊C4—431no—
1399C4⋊C4—431no—
1400C4⋊C4—431no—
1401C4⋊C4—431no—
1402C4⋊C4—431no—
1403C4⋊C4—431no—
1404C4⋊C4—431no—
1405C4⋊C4—431no—
1406C4⋊C4—431no—
1407C4⋊C4—431no—
1408C4⋊C4—431no—
1409C4⋊C4—431no—
1410C4⋊C4—431no—
1411C4⋊C4—431no—
1412C4⋊C4—431no—
1413C4⋊C4—431no—
1414C4⋊C4—431no—
1415C4⋊C4—431no—
1416C4⋊C4—431no—
1417C4⋊C4C2×C4×D4311yescharacteristic
1418C4⋊C4C2×C4×D4311yescharacteristic
1419C4⋊C4C2×C4×D4311yescharacteristic
1420C4⋊C4C2×C4×D4311yescharacteristic
1421C4⋊C4C2×C4×D4311yescharacteristic
1422C4⋊C4C2×C4×D4311yescharacteristic
1423C4⋊C4C2×C4×D4311yescharacteristic
1424C4⋊C4C2×C4×D4311yescharacteristic
1425C4⋊C4C2×C4×D4311yescharacteristic
1426C4⋊C4C2×C4×D4311yescharacteristic
1427C22⋊C4—431no—
1428C22⋊C4—431no—
1429C22⋊C4—431no—
1430C22⋊C4—431no—
1431C22⋊C4—431no—
1432C22⋊C4—431no—
1433C22⋊C4—431no—
1434C22⋊C4—431no—
1435C22⋊C4—431no—
1436C22⋊C4—431no—
1437C22⋊C4—431no—
1438C22⋊C4—431no—
1439C22⋊C4—431no—
1440C22⋊C4—431no—
1441C22⋊C4—431no—
1442C22⋊C4—431no—
1443C22⋊C4—431no—
1444C22⋊C4—431no—
1445C22⋊C4—431no—
1446C22⋊C4—431no—
1447C22⋊C4—431no—
1448C22⋊C4—431no—
1449C22⋊C4—431no—
1450C22⋊C4—431no—
1451C22⋊C4—431no—
1452C22⋊C4—431no—
1453C22⋊C4C2×C4×D4311yescharacteristic
1454C22⋊C4C2×C4×D4311yescharacteristic
1455C22⋊C4C2×C4×D4311yescharacteristic
1456C22⋊C4C2×C4×D4311yescharacteristic
1457C22⋊C4C2×C4×D4311yescharacteristic
1458C22⋊C4C2×C4×D4311yescharacteristic
1459C22⋊C4C2×C4×D4311yescharacteristic
1460C22⋊C4C2×C4×D4311yescharacteristic
1461C22⋊C4C2×C4×D4311yescharacteristic
1462C22⋊C4C2×C4×D4311yescharacteristic
1463C42—431no—
1464C42—431no—
1465C42—431no—
1466C42—431no—
1467C42—431no—
1468C42—431no—
1469C42—431no—
1470C42—431no—
1471C42—431no—
1472C42—431no—
1473C42—431no—
1474C42—431no—
1475C42—431no—
1476C42—431no—
1477C42—431no—
1478C42—431no—
1479C42—431no—
1480C42—431no—
1481C42C2×C4×D4311yescharacteristic
1482C42C2×C4×D4311yescharacteristic
1483C42C23×D4311yescharacteristic
1484C42C23×D4311yescharacteristic
1485C42C23×D4311yescharacteristic
1486C42C23×D4311yescharacteristic
1487C23—431no—
1488C23—431no—
1489C23C22×C4×D4311yescharacteristic
1490C23C22×C4×D4311yescharacteristic
1491C23C22×C4×D4311yescharacteristic
1492Q8—41no—
1493Q8—862no—
1494Q8—862no—
1495Q8—862no—
1496Q8—1721no—
1497Q8—1721no—
1498Q8—1721no—
1499Q8—1721no—
1500Q8—1721no—
1501Q8—1721no—
1502D4—41no—
1503D4—41no—
1504D4—41no—
1505D4—862no—
1506D4—1721no—
1507D4—1721no—
1508D4—1721no—
1509D4—1721no—
1510D4—1721no—
1511D4—1721no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—431no—
1521C2×C4—431no—
1522C2×C4—431no—
1523C2×C4—431no—
1524C2×C4—431no—
1525C2×C4—431no—
1526C2×C4—431no—
1527C2×C4—431no—
1528C2×C4—431no—
1529C2×C4—431no—
1530C2×C4—431no—
1531C2×C4—431no—
1532C2×C4—431no—
1533C2×C4—431no—
1534C2×C4—862no—
1535C2×C4—862no—
1536C2×C4—862no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—861no—
1540C2×C4—861no—
1541C2×C4—1721no—
1542C2×C4—1721no—
1543C2×C4—1721no—
1544C2×C4—1721no—
1545C2×C4—1721no—
1546C2×C4—1721no—
1547C2×C4—1721no—
1548C2×C4—1721no—
1549C2×C4—1721no—
1550C2×C4C22×C4×D4311yescharacteristic
1551C2×C4C22×C4×D4311yescharacteristic
1552C2×C4C22×C4×D4311yescharacteristic
1553C2×C4C22×C4×D4311yescharacteristic
1554C2×C4C22×C4×D4311yescharacteristic
1555C2×C4C22×C4×D4311yescharacteristic
1556C2×C4C22×C4×D4311yescharacteristic
1557C2×C4C22×C4×D4311yescharacteristic
1558C2×C4C22×C4×D4311yescharacteristic
1559C2×C4C22×C4×D4311yescharacteristic
1560C2×C4C22×C4×D4311yescharacteristic
1561C2×C4C24×D4311yescharacteristic
1562C8—21no—
1563C8—21no—
1564C8—21no—
1565C8—21no—
1566C8—21no—
1567C8—21no—
1568C8—21no—
1569C8—21no—
1570C8—432no—
1571C8—861no—
1572C8—861no—
1573C8—861no—
1574C8—861no—
1575C8—861no—
1576C8—861no—
1577C8—861no—
1578C22—21no—
1579C22—21no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—21no—
1587C22—861no—
1588C22—861no—
1589C22—861no—
1590C22—861no—
1591C22—861no—
1592C22—861no—
1593C22C23×C4×D4311yescharacteristic
1594C4—21no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—432no—
1606C4—861no—
1607C4—861no—
1608C4—861no—
1609C4—861no—
1610C4—861no—
1611C4—861no—
1612C4—861no—
1613C4—861no—
1614C4—861no—
1615C4—861no—
1616C4—861no—
1617C4—861no—
1618C4—861no—
1619C42−1+4×D4311yescharacteristic
1620C4#1458373411yescharacteristic
1621C2—41no—
1622C2—41no—
1623C2—41no—
1624C2—1721no—
1625C2—1721no—
1626C2#1914780611yescharacteristic
1627C2#568×D4311yescharacteristic
1628C2#1914930811yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2995C2
prime radical#14583478C4
cosocleC2×C4×C43C25
hypercenter#2995D43
hypocenterC43#60344
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2995

Complements

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

NH ≅ G/Ntype
2. #19143763C2semidirect
3. #19143761C2semidirect
4. #19143761C2semidirect
5. #19143748C2semidirect
6. #19143742C2semidirect
7. #19143741C2semidirect
8. #19143739C2semidirect
9. #19143725C2semidirect
10. #19143707C2semidirect
11. #19143694C2semidirect
12. #19143692C2semidirect
13. #19143688C2semidirect
14. #19143687C2semidirect
15. #19143681C2semidirect
16. #19143604C2semidirect
17. #19143602C2semidirect
18. #19143597C2semidirect
19. #19143594C2semidirect
20. #19143591C2semidirect
21. #19143586C2semidirect
22. #19143578C2semidirect
23. #19143577C2semidirect
24. #19143565C2semidirect
25. #19143555C2semidirect
26. #19143547C2semidirect
27. #19143541C2semidirect
28. #19143532C2semidirect
29. #19143531C2semidirect
30. #19143528C2semidirect
31. C43×#2995C2semidirect
811. #2995D43semidirect
1017. C43#60344semidirect

Maximal subgroups

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

subgroupindex
#191480202
#191437632
#191437612
#191437482
#191437422
#191437412
#191437392
#191437252
#191437072
#191436942
#191436922
#191436882
#191436872
#191436812
#191436042
#191436022
#191435972
#191435942
#191435912
#191435862
#191435782
#191435772
#191435652
#191435552
#191435472
#191435412
#191435322
#191435312
#191435282
C43×#29952
#6034443