Finite Group Databasebeta

← #25962837

Subgroups — #25962837

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#19148026C211yesmaximal, characteristic
2#19143767C211yesmaximal, characteristic, complemented
3#19143764C211yesmaximal, characteristic, complemented
4#19143764C211yesmaximal, characteristic, complemented
5#19143760C211yesmaximal, characteristic, complemented
6#19143749C211yesmaximal, characteristic, complemented
7#19143743C211yesmaximal, characteristic, complemented
8#19143738C211yesmaximal, characteristic, complemented
9#19143738C211yesmaximal, characteristic, complemented
10#19143724C211yesmaximal, characteristic, complemented
11#19143711C211yesmaximal, characteristic, complemented
12#19143695C211yesmaximal, characteristic, complemented
13#19143688C211yesmaximal, characteristic, complemented
14#19143688C211yesmaximal, characteristic, complemented
15#19143681C211yesmaximal, characteristic, complemented
16#19143604C211yesmaximal, characteristic, complemented
17#19143598C211yesmaximal, characteristic, complemented
18#19143597C211yesmaximal, characteristic, complemented
19#19143597C211yesmaximal, characteristic, complemented
20#19143588C211yesmaximal, characteristic, complemented
21#19143584C211yesmaximal, characteristic, complemented
22#19143579C211yesmaximal, characteristic, complemented
23#19143578C211yesmaximal, characteristic, complemented
24#19143568C211yesmaximal, characteristic, complemented
25#19143560C211yesmaximal, characteristic, complemented
26#19143547C211yesmaximal, characteristic, complemented
27#19143540C211yesmaximal, characteristic, complemented
28#19143536C211yesmaximal, characteristic, complemented
29#19143531C211yesmaximal, characteristic, complemented
30#19143524C211yesmaximal, characteristic, complemented
31C43×#2985C211yesmaximal, characteristic, complemented
32#14583526C411yescharacteristic
33#14583523C411yescharacteristic
34#14583522C411yescharacteristic
35#14583519C411yescharacteristic
36#14583519C411yescharacteristic
37#14583510C411yescharacteristic
38#14583509C411yescharacteristic
39#14583508C411yescharacteristic
40#14583508C411yescharacteristic
41#14583497C411yescharacteristic
42#14583497C411yescharacteristic
43#14583495C411yescharacteristic
44#14583495C411yescharacteristic
45#14583479C411yescharacteristic
46#14583474C411yescharacteristic
47#14583472C411yescharacteristic
48#14583453C2211yescharacteristic
49#14583453C2211yescharacteristic
50#14583453C2211yescharacteristic
51#14583436C2211yescharacteristic
52#14583436C2211yescharacteristic
53#14583436C2211yescharacteristic
54#14583433C2211yescharacteristic
55#14583427C2211yescharacteristic
56#14583427C2211yescharacteristic
57#14583427C2211yescharacteristic
58#14583427C2211yescharacteristic
59C4×#10621902C2211yescharacteristic
60C4×#10621898C2211yescharacteristic
61C4×Q8×D43C2211yescharacteristic
62#14583030C2211yescharacteristic
63#14583030C2211yescharacteristic
64#14583030C2211yescharacteristic
65#14583030C2211yescharacteristic
66#14583030C2211yescharacteristic
67#14583030C2211yescharacteristic
68#14583030C2211yescharacteristic
69#14583030C2211yescharacteristic
70#14583029C2211yescharacteristic
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#14583026C2211yescharacteristic
86C8×Dic86C2211yescharacteristic
87C8×Dic86C2211yescharacteristic
88C8×Dic86C2211yescharacteristic
89C8×Dic86C2211yescharacteristic
90C8×Dic86C2211yescharacteristic
91#14583023C2211yescharacteristic
92#14583023C2211yescharacteristic
93#14583023C2211yescharacteristic
94#14582978C2211yescharacteristic
95#14582978C2211yescharacteristic
96#14582978C2211yescharacteristic
97#14582978C2211yescharacteristic
98#14582978C2211yescharacteristic
99#14582976C2211yescharacteristic
100#14582976C2211yescharacteristic
101#14582976C2211yescharacteristic
102#14582974C2211yescharacteristic
103#14582974C2211yescharacteristic
104#14582974C2211yescharacteristic
105#14582974C2211yescharacteristic
106#14582974C2211yescharacteristic
107#14582974C2211yescharacteristic
108#14582973C2211yescharacteristic
109#14582973C2211yescharacteristic
110#14582972C2211yescharacteristic
111#14582972C2211yescharacteristic
112#14582972C2211yescharacteristic
113#14582972C2211yescharacteristic
114#14582972C2211yescharacteristic
115#14582972C2211yescharacteristic
116#14582969C2211yescharacteristic
117#14582969C2211yescharacteristic
118#14582969C2211yescharacteristic
119#14582969C2211yescharacteristic
120#14582969C2211yescharacteristic
121#14582969C2211yescharacteristic
122#14582969C2211yescharacteristic
123#14582969C2211yescharacteristic
124#14582967C2211yescharacteristic
125#14582967C2211yescharacteristic
126#14582967C2211yescharacteristic
127#14582967C2211yescharacteristic
128C8×D172C2211yescharacteristic
129#14582964C2211yescharacteristic
130(C22⋊D43)⋊C8C2211yescharacteristic
131(C22⋊D43)⋊C8C2211yescharacteristic
132(C22⋊D43)⋊C8C2211yescharacteristic
133(C22⋊D43)⋊C8C2211yescharacteristic
134#14582961C2211yescharacteristic
135#14582961C2211yescharacteristic
136#14582959C2211yescharacteristic
137#14582959C2211yescharacteristic
138#14582959C2211yescharacteristic
139#14582959C2211yescharacteristic
140#14582959C2211yescharacteristic
141#14582959C2211yescharacteristic
142#14582958C2211yescharacteristic
143#14582958C2211yescharacteristic
144#14582958C2211yescharacteristic
145#14582958C2211yescharacteristic
146#14582955C2211yescharacteristic
147#14582954C2211yescharacteristic
148#14582954C2211yescharacteristic
149#14582954C2211yescharacteristic
150#14582954C2211yescharacteristic
151#14582951C2211yescharacteristic
152#14582951C2211yescharacteristic
153#14582951C2211yescharacteristic
154#14582951C2211yescharacteristic
155#14582951C2211yescharacteristic
156#14582950C2211yescharacteristic
157#14582950C2211yescharacteristic
158#14582926C2211yescharacteristic
159#14582926C2211yescharacteristic
160#14582924C2211yescharacteristic
161#14582924C2211yescharacteristic
162#14582924C2211yescharacteristic
163#14582924C2211yescharacteristic
164#14582924C2211yescharacteristic
165#14582924C2211yescharacteristic
166#14582923C2211yescharacteristic
167#14582921C2211yescharacteristic
168#14582921C2211yescharacteristic
169#14582921C2211yescharacteristic
170#14582921C2211yescharacteristic
171#14582921C2211yescharacteristic
172C4⋊C8×D43C2211yescharacteristic
173#14582856C2211yescharacteristic
174#14582856C2211yescharacteristic
175#14582855C2211yescharacteristic
176#14582855C2211yescharacteristic
177#14582853C2211yescharacteristic
178#14582853C2211yescharacteristic
179#14582853C2211yescharacteristic
180#14582853C2211yescharacteristic
181#14582851C2211yescharacteristic
182#14582851C2211yescharacteristic
183#14582851C2211yescharacteristic
184C4×#10621872C2211yescharacteristic
185C2×#13063236C2211yescharacteristic
186#97×D43C2211yescharacteristic
187C4×C8×D43C2211yescharacteristic
188C43×#533C2211yescharacteristic
189C43×#446C2211yescharacteristic
190C43×#446C2211yescharacteristic
191C43×#446C2211yescharacteristic
192C43×#446C2211yescharacteristic
193C43×#446C2211yescharacteristic
194C43×#446C2211yescharacteristic
195C8×Q8×C43C2211yescharacteristic
196C8×Q8×C43C2211yescharacteristic
197C43×#433C2211yescharacteristic
198C43×#433C2211yescharacteristic
199C43×#433C2211yescharacteristic
200C43×#433C2211yescharacteristic
201C43×#432C2211yescharacteristic
202C43×#431C2211yescharacteristic
203C2×#10621902C2×C411yescharacteristic
204C2×#10621898C2×C411yescharacteristic
205C2×Q8×D43C2×C411yescharacteristic
206C2×#10621877C2311yescharacteristic
207C2×#10621877C2311yescharacteristic
208C2×#10621872C2311yescharacteristic
209C2×#10621872C2311yescharacteristic
210C2×#10621872C2311yescharacteristic
211C2×#10621872C2311yescharacteristic
212C2×#10621872C2311yescharacteristic
213C2×#10621872C2311yescharacteristic
214C2×#10621872C2311yescharacteristic
215C2×#10621872C2311yescharacteristic
216C2×#10621872C2311yescharacteristic
217C2×#10621872C2311yescharacteristic
218C22×C43⋊C8C2311yescharacteristic
219C22×C43⋊C8C2311yescharacteristic
220C2×C8×D43C2311yescharacteristic
221C2×C8×D43C2311yescharacteristic
222C2×C8×D43C2311yescharacteristic
223C2×C8×D43C2311yescharacteristic
224C2×C8×D43C2311yescharacteristic
225C2×C8×D43C2311yescharacteristic
226#13063324C2×C411yescharacteristic
227#13063324C2×C411yescharacteristic
228#13063324C2×C411yescharacteristic
229#13063323C2×C411yescharacteristic
230#13063323C2×C411yescharacteristic
231#13063323C2×C411yescharacteristic
232#13063320C2×C411yescharacteristic
233#13063320C2×C411yescharacteristic
234#13063320C2×C411yescharacteristic
235#13063320C2×C411yescharacteristic
236#13063320C2×C411yescharacteristic
237#13063320C2×C411yescharacteristic
238#13063320C2×C411yescharacteristic
239#13063320C2×C411yescharacteristic
240#13063320C2×C411yescharacteristic
241#13063320C2×C411yescharacteristic
242#13063319C2×C411yescharacteristic
243#13063319C2×C411yescharacteristic
244#13063318C2×C411yescharacteristic
245#13063318C2×C411yescharacteristic
246#13063318C2×C411yescharacteristic
247#13063318C2×C411yescharacteristic
248#13063317C2×C411yescharacteristic
249#13063316C2×C411yescharacteristic
250#13063316C2×C411yescharacteristic
251#13063316C2×C411yescharacteristic
252#13063315C2×C411yescharacteristic
253#13063315C2×C411yescharacteristic
254#13063315C2×C411yescharacteristic
255#13063315C2×C411yescharacteristic
256#13063315C2×C411yescharacteristic
257#13063315C2×C411yescharacteristic
258#13063315C2×C411yescharacteristic
259#13063315C2×C411yescharacteristic
260#13063315C2×C411yescharacteristic
261#13063315C2×C411yescharacteristic
262#13063314C2×C411yescharacteristic
263#13063314C2×C411yescharacteristic
264#13063314C2×C411yescharacteristic
265#13063313C2×C411yescharacteristic
266#13063311C2×C411yescharacteristic
267#13063311C2×C411yescharacteristic
268#13063311C2×C411yescharacteristic
269#13063311C2×C411yescharacteristic
270#13063310C2×C411yescharacteristic
271#13063310C2×C411yescharacteristic
272#13063310C2×C411yescharacteristic
273#13063310C2×C411yescharacteristic
274#13063310C2×C411yescharacteristic
275#13063310C2×C411yescharacteristic
276#13063310C2×C411yescharacteristic
277#13063310C2×C411yescharacteristic
278#13063310C2×C411yescharacteristic
279#13063310C2×C411yescharacteristic
280#13063308C2×C411yescharacteristic
281#13063308C2×C411yescharacteristic
282#13063307C2×C411yescharacteristic
283#13063307C2×C411yescharacteristic
284#13063307C2×C411yescharacteristic
285#13063307C2×C411yescharacteristic
286#13063305C2×C411yescharacteristic
287#13063305C2×C411yescharacteristic
288#13063305C2×C411yescharacteristic
289#13063304C2×C411yescharacteristic
290#13063303C2×C411yescharacteristic
291#13063303C2×C411yescharacteristic
292#13063303C2×C411yescharacteristic
293#13063303C2×C411yescharacteristic
294#13063303C2×C411yescharacteristic
295#13063303C2×C411yescharacteristic
296#13063303C2×C411yescharacteristic
297#13063303C2×C411yescharacteristic
298#13063303C2×C411yescharacteristic
299#13063303C2×C411yescharacteristic
300#13063301C2×C411yescharacteristic
301#13063301C2×C411yescharacteristic
302#13063301C2×C411yescharacteristic
303#13063301C2×C411yescharacteristic
304#13063301C2×C411yescharacteristic
305#13063301C2×C411yescharacteristic
306#13063300C2×C411yescharacteristic
307#13063300C2×C411yescharacteristic
308#13063300C2×C411yescharacteristic
309#13063299C2×C411yescharacteristic
310#13063298C2×C411yescharacteristic
311#13063298C2×C411yescharacteristic
312#13063298C2×C411yescharacteristic
313#13063298C2×C411yescharacteristic
314Q8×Dic43C2×C411yescharacteristic
315Q8×Dic43C2×C411yescharacteristic
316C4×Dic86C2×C411yescharacteristic
317C4×Dic86C2311yescharacteristic
318C4×Dic86C2311yescharacteristic
319C4×Dic86C2311yescharacteristic
320C4×Dic86C2311yescharacteristic
321C4×Dic86C2311yescharacteristic
322C4×Dic86C2311yescharacteristic
323#13063290C2×C411yescharacteristic
324#13063290C2×C411yescharacteristic
325#13063290C2×C411yescharacteristic
326C4×D172C2×C411yescharacteristic
327C4×D172C2311yescharacteristic
328C4×D172C2311yescharacteristic
329C4×D172C2311yescharacteristic
330C4×D172C2311yescharacteristic
331C4×D172C2311yescharacteristic
332C4×D172C2311yescharacteristic
333#13063287C2×C411yescharacteristic
334#13063287C2×C411yescharacteristic
335#13063287C2×C411yescharacteristic
336C4×C22⋊D43C2×C411yescharacteristic
337C4×C22⋊D43C2×C411yescharacteristic
338C4×C22⋊D43C2311yescharacteristic
339C4×C22⋊D43C2311yescharacteristic
340C4×C22⋊D43C2311yescharacteristic
341C4×C22⋊D43C2311yescharacteristic
342#13063284C2×C411yescharacteristic
343#13063283C2×C411yescharacteristic
344#13063283C2×C411yescharacteristic
345#13063283C2×C411yescharacteristic
346#13063282C2×C411yescharacteristic
347#13063282C2×C411yescharacteristic
348#13063282C2311yescharacteristic
349#13063282C2311yescharacteristic
350#13063282C2311yescharacteristic
351#13063282C2311yescharacteristic
352#13063282C2311yescharacteristic
353#13063282C2311yescharacteristic
354C4⋊C4×D43C2×C411yescharacteristic
355C4⋊C4×D43C2×C411yescharacteristic
356C4⋊C4×D43C2×C411yescharacteristic
357C42×D43C2311yescharacteristic
358C42×D43C2311yescharacteristic
359C42×D43C2311yescharacteristic
360C42×D43C2311yescharacteristic
361C42×D43C2311yescharacteristic
362C42×D43C2311yescharacteristic
363C4⋊(C43⋊C8)C2311yescharacteristic
364C4⋊(C43⋊C8)C2311yescharacteristic
365C4⋊(C43⋊C8)C2311yescharacteristic
366C4⋊(C43⋊C8)C2311yescharacteristic
367C4⋊(C43⋊C8)C2311yescharacteristic
368C4⋊(C43⋊C8)C2311yescharacteristic
369C4⋊(C43⋊C8)C2311yescharacteristic
370C4⋊(C43⋊C8)C2311yescharacteristic
371C4⋊(C43⋊C8)C2311yescharacteristic
372C4⋊(C43⋊C8)C2311yescharacteristic
373C4⋊(C43⋊C8)C2311yescharacteristic
374C4⋊(C43⋊C8)C2311yescharacteristic
375Dic43⋊C8C2311yescharacteristic
376Dic43⋊C8C2311yescharacteristic
377Dic43⋊C8C2311yescharacteristic
378Dic43⋊C8C2311yescharacteristic
379Dic43⋊C8C2311yescharacteristic
380Dic43⋊C8C2311yescharacteristic
381Dic43⋊C8C2311yescharacteristic
382Dic43⋊C8C2311yescharacteristic
383Dic43⋊C8C2311yescharacteristic
384Dic43⋊C8C2311yescharacteristic
385Dic43⋊C8C2311yescharacteristic
386Dic43⋊C8C2311yescharacteristic
387Dic43⋊C8C2311yescharacteristic
388Dic43⋊C8C2311yescharacteristic
389Dic43⋊C8C2311yescharacteristic
390Dic43⋊C8C2311yescharacteristic
391(C2×D43)⋊C8C2311yescharacteristic
392(C2×D43)⋊C8C2311yescharacteristic
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(C2×D43)⋊C8C2311yescharacteristic
402(C2×D43)⋊C8C2311yescharacteristic
403(C2×D43)⋊C8C2311yescharacteristic
404(C2×D43)⋊C8C2311yescharacteristic
405(C2×D43)⋊C8C2311yescharacteristic
406(C2×D43)⋊C8C2311yescharacteristic
407#13063236C2311yescharacteristic
408#13063236C2311yescharacteristic
409#13063236C2311yescharacteristic
410#13063236C2311yescharacteristic
411#13063236C2311yescharacteristic
412#13063236C2311yescharacteristic
413#13063236C2311yescharacteristic
414#13063236C2311yescharacteristic
415#13063235C2311yescharacteristic
416#13063235C2311yescharacteristic
417#13063235C2311yescharacteristic
418#13063235C2311yescharacteristic
419#13063235C2311yescharacteristic
420#13063235C2311yescharacteristic
421C4×C43⋊C8C2311yescharacteristic
422C4×C43⋊C8C2311yescharacteristic
423C4×C43⋊C8C2311yescharacteristic
424C4×C43⋊C8C2311yescharacteristic
425C8×Dic43C2311yescharacteristic
426C8×Dic43C2311yescharacteristic
427C8×Dic43C2311yescharacteristic
428C8×Dic43C2311yescharacteristic
429C8×Dic43C2311yescharacteristic
430C8×Dic43C2311yescharacteristic
431C8×Dic43C2311yescharacteristic
432C8×Dic43C2311yescharacteristic
433C8×Dic43C2311yescharacteristic
434C8×Dic43C2311yescharacteristic
435C4⋊Q8×C43C2×C411yescharacteristic
436C4⋊Q8×C43C2×C411yescharacteristic
437#125×C43C2×C411yescharacteristic
438#125×C43C2×C411yescharacteristic
439C22⋊Q8×C43C2×C411yescharacteristic
440C22⋊Q8×C43C2×C411yescharacteristic
441C22⋊Q8×C43C2×C411yescharacteristic
442C22⋊Q8×C43C2×C411yescharacteristic
443C4×Q8×C43C2311yescharacteristic
444C4×Q8×C43C2311yescharacteristic
445C4×Q8×C43C2311yescharacteristic
446C4×Q8×C43C2311yescharacteristic
447#117×C43C2311yescharacteristic
448#117×C43C2311yescharacteristic
449C2×C42×C43C2311yescharacteristic
450C4⋊C8×C43C2311yescharacteristic
451C4⋊C8×C43C2311yescharacteristic
452C4⋊C8×C43C2311yescharacteristic
453C4⋊C8×C43C2311yescharacteristic
454C4⋊C8×C43C2311yescharacteristic
455C4⋊C8×C43C2311yescharacteristic
456C4⋊C8×C43C2311yescharacteristic
457C4⋊C8×C43C2311yescharacteristic
458C4⋊C8×C43C2311yescharacteristic
459C4⋊C8×C43C2311yescharacteristic
460C4⋊C8×C43C2311yescharacteristic
461C4⋊C8×C43C2311yescharacteristic
462C22⋊C8×C43C2311yescharacteristic
463C22⋊C8×C43C2311yescharacteristic
464C22⋊C8×C43C2311yescharacteristic
465C22⋊C8×C43C2311yescharacteristic
466#97×C43C2311yescharacteristic
467#97×C43C2311yescharacteristic
468#97×C43C2311yescharacteristic
469#97×C43C2311yescharacteristic
470#97×C43C2311yescharacteristic
471#97×C43C2311yescharacteristic
472C4×C8×C43C2311yescharacteristic
473C4×C8×C43C2311yescharacteristic
474C4×C8×C43C2311yescharacteristic
475C4×C8×C43C2311yescharacteristic
476C4×C8×C43C2311yescharacteristic
477C4×C8×C43C2311yescharacteristic
478C2×Q8×C43C22×C411yescharacteristic
479C2×Q8×C43C22×C411yescharacteristic
480C2×Q8×C43C22×C411yescharacteristic
481C2×Q8×C43C22×C411yescharacteristic
482C22×C4×C43C22×C411yescharacteristic
483C22×C4×C43C22×C411yescharacteristic
484C22×C4×C43C2411yescharacteristic
485C2×C22⋊D43C22×C411yescharacteristic
486C2×C22⋊D43C22×C411yescharacteristic
487C2×C22⋊D43C22×C411yescharacteristic
488C2×C22⋊D43C22×C411yescharacteristic
489#10621902—42no—
490Q8×D43—42no—
491#10621898—42no—
492C2×D172C22×C411yescharacteristic
493C2×D172C22×C411yescharacteristic
494C2×D172C22×C411yescharacteristic
495C2×D172C22×C411yescharacteristic
496C2×D172C22×C411yescharacteristic
497C2×D172C22×C411yescharacteristic
498C2×C4×D43C22×C411yescharacteristic
499C2×C4×D43C22×C411yescharacteristic
500C2×C4×D43C22×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×D43C22×C411yescharacteristic
510C2×C4×D43C2411yescharacteristic
511C2×C4×D43C2411yescharacteristic
512C2×C4×D43C2411yescharacteristic
513C2×C4×D43C2411yescharacteristic
514C2×Dic86C22×C411yescharacteristic
515C2×Dic86C22×C411yescharacteristic
516C2×Dic86C22×C411yescharacteristic
517C2×Dic86C22×C411yescharacteristic
518C2×Dic86C22×C411yescharacteristic
519C2×Dic86C22×C411yescharacteristic
520C2×C8×C43C2411yescharacteristic
521C2×C8×C43C2411yescharacteristic
522C2×C8×C43C2411yescharacteristic
523C2×C8×C43C2411yescharacteristic
524C2×C8×C43C2411yescharacteristic
525C2×C8×C43C2411yescharacteristic
526C2×C8×C43C2411yescharacteristic
527C2×C8×C43C2411yescharacteristic
528C4⋊C4×C43C22×C411yescharacteristic
529C4⋊C4×C43C22×C411yescharacteristic
530C4⋊C4×C43C22×C411yescharacteristic
531C4⋊C4×C43C22×C411yescharacteristic
532C4⋊C4×C43C22×C411yescharacteristic
533C4⋊C4×C43C22×C411yescharacteristic
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
548C42×C43C22×C411yescharacteristic
549C42×C43C22×C411yescharacteristic
550C42×C43C2411yescharacteristic
551C42×C43C2411yescharacteristic
552C42×C43C2411yescharacteristic
553C42×C43C2411yescharacteristic
554C42×C43C2411yescharacteristic
555C42×C43C2411yescharacteristic
556C22⋊Dic43C22×C411yescharacteristic
557C22⋊Dic43C22×C411yescharacteristic
558C22⋊Dic43C22×C411yescharacteristic
559C22⋊Dic43C22×C411yescharacteristic
560(C2×D43)⋊C4C22×C411yescharacteristic
561(C2×D43)⋊C4C22×C411yescharacteristic
562(C2×D43)⋊C4C22×C411yescharacteristic
563(C2×D43)⋊C4C22×C411yescharacteristic
564(C2×D43)⋊C4C22×C411yescharacteristic
565(C2×D43)⋊C4C22×C411yescharacteristic
566(C2×D43)⋊C4C22×C411yescharacteristic
567(C2×D43)⋊C4C22×C411yescharacteristic
568(C2×D43)⋊C4C22×C411yescharacteristic
569(C2×D43)⋊C4C22×C411yescharacteristic
570(C2×D43)⋊C4C22×C411yescharacteristic
571(C2×D43)⋊C4C22×C411yescharacteristic
572(C2×D43)⋊C4C22×C411yescharacteristic
573(C2×D43)⋊C4C22×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
586(C2×D43)⋊C4C22×C411yescharacteristic
587(C2×D43)⋊C4C22×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
600Dic43⋊C4C22×C411yescharacteristic
601Dic43⋊C4C22×C411yescharacteristic
602Dic43⋊C4C22×C411yescharacteristic
603Dic43⋊C4C22×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
628C4×Dic43C22×C411yescharacteristic
629C4×Dic43C22×C411yescharacteristic
630C4×Dic43C22×C411yescharacteristic
631C4×Dic43C22×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×Dic43C2411yescharacteristic
641C4×Dic43C2411yescharacteristic
642C4×Dic43C2411yescharacteristic
643C4×Dic43C2411yescharacteristic
644#10621877—41no—
645#10621877—41no—
646C2×C43⋊C8—22no—
647C2×C43⋊C8—41no—
648C2×C43⋊C8C2411yescharacteristic
649C2×C43⋊C8C2411yescharacteristic
650C2×C43⋊C8C2411yescharacteristic
651C2×C43⋊C8C2411yescharacteristic
652C2×C43⋊C8C2411yescharacteristic
653C2×C43⋊C8C2411yescharacteristic
654C2×C43⋊C8C2411yescharacteristic
655C2×C43⋊C8C2411yescharacteristic
656#10621872—22no—
657#10621872—22no—
658#10621872—41no—
659#10621872—41no—
660#10621872—41no—
661#10621872—41no—
662#10621872—41no—
663#10621872—41no—
664#10621872—41no—
665#10621872—41no—
666C8×D43—22no—
667C8×D43—22no—
668C8×D43—41no—
669C8×D43—41no—
670C8×D43—41no—
671C8×D43—41no—
672C23×C43C23×C411yescharacteristic
673C22×D43C23×C411yescharacteristic
674C22×D43C23×C411yescharacteristic
675C22×D43C23×C411yescharacteristic
676C22×D43C23×C411yescharacteristic
677Q8×C43—41no—
678Q8×C43—41no—
679Q8×C43—41no—
680Q8×C43—41no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—41no—
684C2×C4×C43—41no—
685C2×C4×C43C23×C411yescharacteristic
686C2×C4×C43C23×C411yescharacteristic
687C2×C4×C43C23×C411yescharacteristic
688C2×C4×C43C23×C411yescharacteristic
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×C43C2511yescharacteristic
699C22⋊D43—22no—
700C22⋊D43—41no—
701C22⋊D43—41no—
702C22⋊D43—41no—
703C2×Dic43C23×C411yescharacteristic
704C2×Dic43C23×C411yescharacteristic
705C2×Dic43C23×C411yescharacteristic
706C2×Dic43C23×C411yescharacteristic
707C2×Dic43C23×C411yescharacteristic
708C2×Dic43C23×C411yescharacteristic
709C2×Dic43C23×C411yescharacteristic
710C2×Dic43C23×C411yescharacteristic
711C2×Dic43C23×C411yescharacteristic
712C2×Dic43C23×C411yescharacteristic
713C2×Dic43C23×C411yescharacteristic
714C2×Dic43C23×C411yescharacteristic
715D172—41no—
716D172—41no—
717D172—41no—
718D172—41no—
719D172—41no—
720D172—41no—
721C4×D43—21no—
722C4×D43—21no—
723C4×D43—21no—
724C4×D43—21no—
725C4×D43—21no—
726C4×D43—21no—
727C4×D43—21no—
728C4×D43—21no—
729C4×D43—22no—
730C4×D43—22no—
731C4×D43—22no—
732C4×D43—41no—
733C4×D43—41no—
734C4×D43—41no—
735C4×D43—41no—
736C4×D43—41no—
737C4×D43—41no—
738C4×D43—41no—
739C4×D43—41no—
740C4×D43—41no—
741Dic86—22no—
742Dic86—22no—
743Dic86—22no—
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×C43C24×C411yescharacteristic
768C2×D43—21no—
769C2×D43—21no—
770C2×D43—21no—
771C2×D43—21no—
772C2×D43—21no—
773C2×D43—21no—
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×C43—21no—
792C4×C43—21no—
793C4×C43C2×2−1+411yescharacteristic
794C4×C43#58511yescharacteristic
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#2995—431no—
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#2985D4311yescharacteristic, complemented
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×C43C4×2−1+411yescharacteristic
840C2×C43C2×#56811yescharacteristic
841C2×C43#357311yescharacteristic
842D43—41no—
843D43—41no—
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#533C2×D4311yescharacteristic
866#529—431no—
867#529—431no—
868#529—431no—
869#529—431no—
870#529—431no—
871#529—431no—
872#529—431no—
873#529—431no—
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#446C2×D4311yescharacteristic
902#446C2×D4311yescharacteristic
903#446C2×D4311yescharacteristic
904#446C2×D4311yescharacteristic
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×Q8C2×D4311yescharacteristic
916C8×Q8C2×D4311yescharacteristic
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#436—431no—
930#436—431no—
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#435—431no—
948#435—431no—
949#435—431no—
950#435—431no—
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#433C2×D4311yescharacteristic
970#433C2×D4311yescharacteristic
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#431C2×D4311yescharacteristic
987#424—431no—
988#424—431no—
989#424—431no—
990#424—431no—
991#424—431no—
992#424—431no—
993#424—431no—
994#424—431no—
995#423—431no—
996#423—431no—
997#423—431no—
998#423—431no—
999#423—431no—
1000#423—431no—
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×M16—431no—
1030C2×M16—431no—
1031C2×M16—431no—
1032C2×M16—431no—
1033C22×C8—431no—
1034C22×C8—431no—
1035C22×C8—431no—
1036C22×C8—431no—
1037C22×C8—431no—
1038C22×C8—431no—
1039C22×C8—431no—
1040C22×C8—431no—
1041C4⋊Q8—431no—
1042C4⋊Q8—431no—
1043C4⋊Q8—431no—
1044C4⋊Q8—431no—
1045C4⋊Q8—431no—
1046C4⋊Q8—431no—
1047C4⋊Q8C4×D4311yescharacteristic
1048C4⋊Q8C4×D4311yescharacteristic
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#126—431no—
1064#126—431no—
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#125C4×D4311yescharacteristic
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#124—431no—
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#123—431no—
1104#123—431no—
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⋊Q8C4×D4311yescharacteristic
1126C22⋊Q8C4×D4311yescharacteristic
1127C22⋊Q8C4×D4311yescharacteristic
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#121—431no—
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×Q8C22×D4311yescharacteristic
1150C4×Q8C22×D4311yescharacteristic
1151C4×Q8C22×D4311yescharacteristic
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×D4—431no—
1167C4×D4—431no—
1168C4×D4—431no—
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⋊C8C22×D4311yescharacteristic
1222C4⋊C8C22×D4311yescharacteristic
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⋊C8—431no—
1248C22⋊C8—431no—
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#97C22×D4311yescharacteristic
1268#97C22×D4311yescharacteristic
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×C8C22×D4311yescharacteristic
1288C4×C8C22×D4311yescharacteristic
1289C4×C8C22×D4311yescharacteristic
1290C4×C8C22×D4311yescharacteristic
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—1722no—
1302C2×Q8C2×C4×D4311yescharacteristic
1303C2×Q8C2×C4×D4311yescharacteristic
1304C2×Q8C2×C4×D4311yescharacteristic
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×D4—431no—
1314C2×D4—431no—
1315C2×D4—431no—
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×C4—431no—
1331C22×C4—431no—
1332C22×C4C2×C4×D4311yescharacteristic
1333C22×C4C2×C4×D4311yescharacteristic
1334C22×C4C23×D4311yescharacteristic
1335M16—862no—
1336M16—862no—
1337M16—1721no—
1338M16—1721no—
1339M16—1721no—
1340M16—1721no—
1341M16—1721no—
1342M16—1721no—
1343M16—1721no—
1344M16—1721no—
1345M16—1721no—
1346M16—1721no—
1347C2×C8—431no—
1348C2×C8—431no—
1349C2×C8—431no—
1350C2×C8—431no—
1351C2×C8—431no—
1352C2×C8—431no—
1353C2×C8—431no—
1354C2×C8—431no—
1355C2×C8—862no—
1356C2×C8—862no—
1357C2×C8—862no—
1358C2×C8—1721no—
1359C2×C8—1721no—
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⋊C4C2×C4×D4311yescharacteristic
1412C4⋊C4C2×C4×D4311yescharacteristic
1413C4⋊C4C2×C4×D4311yescharacteristic
1414C4⋊C4C2×C4×D4311yescharacteristic
1415C4⋊C4C2×C4×D4311yescharacteristic
1416C4⋊C4C2×C4×D4311yescharacteristic
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⋊C4—431no—
1454C22⋊C4—431no—
1455C22⋊C4—431no—
1456C22⋊C4—431no—
1457C22⋊C4—431no—
1458C22⋊C4—431no—
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—
1479C42C2×C4×D4311yescharacteristic
1480C42C2×C4×D4311yescharacteristic
1481C42C23×D4311yescharacteristic
1482C42C23×D4311yescharacteristic
1483C42C23×D4311yescharacteristic
1484C42C23×D4311yescharacteristic
1485C42C23×D4311yescharacteristic
1486C42C23×D4311yescharacteristic
1487C23—431no—
1488C23—431no—
1489C23—431no—
1490C23—431no—
1491C23C22×C4×D4311yescharacteristic
1492Q8—41no—
1493Q8—41no—
1494Q8—41no—
1495Q8—41no—
1496Q8—862no—
1497Q8—862no—
1498Q8—862no—
1499Q8—1721no—
1500Q8—1721no—
1501Q8—1721no—
1502D4—862no—
1503D4—1721no—
1504D4—1721no—
1505D4—1721no—
1506D4—1721no—
1507D4—1721no—
1508D4—1721no—
1509D4—1721no—
1510D4—1721no—
1511D4—1721no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—431no—
1517C2×C4—431no—
1518C2×C4—431no—
1519C2×C4—431no—
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—862no—
1529C2×C4—862no—
1530C2×C4—862no—
1531C2×C4—861no—
1532C2×C4—861no—
1533C2×C4—861no—
1534C2×C4—861no—
1535C2×C4—861no—
1536C2×C4—861no—
1537C2×C4—861no—
1538C2×C4—861no—
1539C2×C4—1721no—
1540C2×C4—1721no—
1541C2×C4—1721no—
1542C2×C4—1721no—
1543C2×C4—1721no—
1544C2×C4—1721no—
1545C2×C4—1721no—
1546C2×C4—1721no—
1547C2×C4—1721no—
1548C2×C4C22×C4×D4311yescharacteristic
1549C2×C4C22×C4×D4311yescharacteristic
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—861no—
1582C22—861no—
1583C22—861no—
1584C22—861no—
1585C22—861no—
1586C22—861no—
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—21no—
1606C4—21no—
1607C4—432no—
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#1458373611yescharacteristic
1621C2—41no—
1622C2—1721no—
1623C2—1721no—
1624C2—1721no—
1625C2—1721no—
1626C2#1914780411yescharacteristic
1627C2#568×D4311yescharacteristic
1628C2#1914930611yescharacteristic
subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2985C2
prime radical#14583479C4
cosocleC2×C4×C43C25
hypercenter#2985D43
hypocenterC43#60344
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2985

Complements

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

NH ≅ G/Ntype
2. #19143767C2semidirect
3. #19143764C2semidirect
4. #19143764C2semidirect
5. #19143760C2semidirect
6. #19143749C2semidirect
7. #19143743C2semidirect
8. #19143738C2semidirect
9. #19143738C2semidirect
10. #19143724C2semidirect
11. #19143711C2semidirect
12. #19143695C2semidirect
13. #19143688C2semidirect
14. #19143688C2semidirect
15. #19143681C2semidirect
16. #19143604C2semidirect
17. #19143598C2semidirect
18. #19143597C2semidirect
19. #19143597C2semidirect
20. #19143588C2semidirect
21. #19143584C2semidirect
22. #19143579C2semidirect
23. #19143578C2semidirect
24. #19143568C2semidirect
25. #19143560C2semidirect
26. #19143547C2semidirect
27. #19143540C2semidirect
28. #19143536C2semidirect
29. #19143531C2semidirect
30. #19143524C2semidirect
31. C43×#2985C2semidirect
821. #2985D43semidirect
1017. C43#60344semidirect

Maximal subgroups

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

subgroupindex
#191480262
#191437672
#191437642
#191437602
#191437492
#191437432
#191437382
#191437242
#191437112
#191436952
#191436882
#191436812
#191436042
#191435982
#191435972
#191435882
#191435842
#191435792
#191435782
#191435682
#191435602
#191435472
#191435402
#191435362
#191435312
#191435242
C43×#29852
#6034443