Finite Group Databasebeta

← #2519×D71 #32166531

Subgroups — #2519×D71 #32166531

Order 18176.

2466 conjugacy classes of subgroups.

The subgroup lattice has 1520 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126×D71C211yesmaximal, characteristic
2C2×#125×D71C211yesmaximal, characteristic, complemented
3#22593020C211yesmaximal, characteristic, complemented
4#22593019C211yesmaximal, characteristic, complemented
5#22593018C211yesmaximal, characteristic, complemented
6#22593017C211yesmaximal, characteristic, complemented
7#22593016C211yesmaximal, characteristic, complemented
8#22593015C211yesmaximal, characteristic, complemented
9#22593014C211yesmaximal, characteristic, complemented
10#22593013C211yesmaximal, characteristic, complemented
11#22593012C211yesmaximal, characteristic, complemented
12#22593011C211yesmaximal, characteristic, complemented
13#22593010C211yesmaximal, characteristic, complemented
14#22593009C211yesmaximal, characteristic, complemented
15#22593008C211yesmaximal, characteristic, complemented
16#22593007C211yesmaximal, characteristic, complemented
17#22593006C211yesmaximal, characteristic, complemented
18#399×D71C211yesmaximal, characteristic
19#398×D71C211yesmaximal, characteristic, complemented
20#398×D71C211yesmaximal, characteristic, complemented
21#396×D71C211yesmaximal, characteristic
22#389×D71C211yesmaximal, characteristic, complemented
23#388×D71C211yesmaximal, characteristic
24#388×D71C211yesmaximal, characteristic
25#388×D71C211yesmaximal, characteristic
26#388×D71C211yesmaximal, characteristic
27#387×D71C211yesmaximal, characteristic, complemented
28#382×D71C211yesmaximal, characteristic, complemented
29C4×C4⋊C4×D71C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D71C211yesmaximal, characteristic, complemented
31C71×#2519C211yesmaximal, characteristic, complemented
32C2×#14556123C2211yescharacteristic
33C2×#14556123C2211yescharacteristic
34C2×#14556123C2211yescharacteristic
35C2×#14556122C2211yescharacteristic
36C2×#14556121C2211yescharacteristic
37C2×#14556121C2211yescharacteristic
38C2×#14556121C2211yescharacteristic
39#126×D71—28no—
40C2×#14556120C2211yescharacteristic, complemented
41C2×#14556119C2211yescharacteristic, complemented
42C2×#14556119C2211yescharacteristic, complemented
43C2×#14556118C2211yescharacteristic, complemented
44C2×#14556118C2211yescharacteristic, complemented
45C2×#14556118C2211yescharacteristic, complemented
46C2×#14556118C2211yescharacteristic, complemented
47#125×D71—28no—
48C2×C4⋊C4×D71C2211yescharacteristic
49C2×C4⋊C4×D71C2211yescharacteristic
50C2×C4⋊C4×D71C2211yescharacteristic
51C2×C4⋊C4×D71C2211yescharacteristic
52C2×C4⋊C4×D71C2211yescharacteristic
53C2×C4⋊C4×D71C2211yescharacteristic
54C2×C4⋊C4×D71C2211yescharacteristic
55C2×C4⋊C4×D71C2211yescharacteristic
56C2×C4⋊C4×D71C2211yescharacteristic
57C2×C4⋊C4×D71C2211yescharacteristic
58C2×C4⋊C4×D71C2211yescharacteristic
59C2×C4⋊C4×D71C2211yescharacteristic
60C2×C4⋊C4×D71C2211yescharacteristic
61C2×C22⋊C4×D71C2211yescharacteristic
62C2×C22⋊C4×D71C2211yescharacteristic
63C2×C22⋊C4×D71C2211yescharacteristic
64C2×C22⋊C4×D71C2211yescharacteristic
65C2×C22⋊C4×D71C2211yescharacteristic
66C2×C22⋊C4×D71C2211yescharacteristic
67C2×C22⋊C4×D71C2211yescharacteristic
68C2×C42×D71C2211yescharacteristic
69C2×C42×D71C2211yescharacteristic
70C2×C42×D71C2211yescharacteristic
71C2×C42×D71C2211yescharacteristic
72C2×C42×D71C2211yescharacteristic
73#17985936C2211yescharacteristic
74#17985935C2211yescharacteristic
75#17985935C2211yescharacteristic
76#17985935C2211yescharacteristic
77#17985934C2211yescharacteristic
78#17985934C2211yescharacteristic
79#17985934C2211yescharacteristic
80#17985933C2211yescharacteristic, complemented
81#17985933C2211yescharacteristic, complemented
82#17985933C2211yescharacteristic, complemented
83#17985933C2211yescharacteristic, complemented
84#17985932C2211yescharacteristic, complemented
85#17985932C2211yescharacteristic, complemented
86#17985932C2211yescharacteristic, complemented
87#17985932C2211yescharacteristic, complemented
88#17985931C2211yescharacteristic, complemented
89#17985931C2211yescharacteristic, complemented
90#17985930C2211yescharacteristic, complemented
91#17985930C2211yescharacteristic, complemented
92#17985929C2211yescharacteristic, complemented
93#17985929C2211yescharacteristic, complemented
94#17985923C2211yescharacteristic
95#17985922C2211yescharacteristic
96#17985922C2211yescharacteristic
97#17985922C2211yescharacteristic
98#17985921C2211yescharacteristic
99#17985921C2211yescharacteristic
100#17985921C2211yescharacteristic
101#17985898C2211yescharacteristic, complemented
102#17985897C2211yescharacteristic, complemented
103#17985896C2211yescharacteristic, complemented
104#17985896C2211yescharacteristic, complemented
105#17985895C2211yescharacteristic, complemented
106#17985894C2211yescharacteristic, complemented
107#17985894C2211yescharacteristic, complemented
108#17985893C2211yescharacteristic
109#17985893C2211yescharacteristic
110#17985893C2211yescharacteristic
111#17985893C2211yescharacteristic
112#17985892C2211yescharacteristic
113#17985892C2211yescharacteristic
114#17985892C2211yescharacteristic
115#17985892C2211yescharacteristic
116#17985891C2211yescharacteristic
117#17985891C2211yescharacteristic
118#17985891C2211yescharacteristic
119#17985891C2211yescharacteristic
120#17985890C2211yescharacteristic
121#17985890C2211yescharacteristic
122#17985890C2211yescharacteristic
123#17985890C2211yescharacteristic
124#17985889C2211yescharacteristic
125#17985889C2211yescharacteristic
126#17985889C2211yescharacteristic
127#17985889C2211yescharacteristic
128#17985888C2211yescharacteristic
129#17985888C2211yescharacteristic
130#17985888C2211yescharacteristic
131#17985888C2211yescharacteristic
132#17985887C2211yescharacteristic
133#17985887C2211yescharacteristic
134#17985887C2211yescharacteristic
135#17985887C2211yescharacteristic
136#17985886C2211yescharacteristic, complemented
137#17985885C2211yescharacteristic, complemented
138#17985884C2211yescharacteristic, complemented
139#17985883C2211yescharacteristic, complemented
140#17985882C2211yescharacteristic, complemented
141#17985881C2211yescharacteristic, complemented
142#17985880C2211yescharacteristic, complemented
143#17985865C2211yescharacteristic, complemented
144#17985864C2211yescharacteristic, complemented
145#17985864C2211yescharacteristic, complemented
146#17985863C2211yescharacteristic, complemented
147#17985863C2211yescharacteristic, complemented
148#17985863C2211yescharacteristic, complemented
149#17985863C2211yescharacteristic, complemented
150C4⋊C4×Dic71C2211yescharacteristic, complemented
151C4⋊C4×Dic71C2211yescharacteristic, complemented
152C4⋊C4×Dic71C2211yescharacteristic, complemented
153C4⋊C4×Dic71C2211yescharacteristic, complemented
154C4×Dic71⋊C4C2211yescharacteristic, complemented
155C4×Dic71⋊C4C2211yescharacteristic, complemented
156C4×Dic71⋊C4C2211yescharacteristic, complemented
157C4×Dic71⋊C4C2211yescharacteristic, complemented
158C4×C4⋊Dic71C2211yescharacteristic, complemented
159C4×C4⋊Dic71C2211yescharacteristic, complemented
160#17985850C2211yescharacteristic, complemented
161#17985850C2211yescharacteristic, complemented
162#17985850C2211yescharacteristic, complemented
163#17985850C2211yescharacteristic, complemented
164#95×D71C2211yescharacteristic
165#95×D71C2211yescharacteristic
166#95×D71C2211yescharacteristic
167#95×D71C2211yescharacteristic
168#95×D71C2211yescharacteristic
169#95×D71C2211yescharacteristic
170#95×D71C2211yescharacteristic
171#95×D71C2211yescharacteristic
172#95×D71C2211yescharacteristic
173#95×D71C2211yescharacteristic
174C2×#126×C71C2211yescharacteristic
175C2×#125×C71C2211yescharacteristic, complemented
176#399×C71C2211yescharacteristic
177#398×C71C2211yescharacteristic, complemented
178#398×C71C2211yescharacteristic, complemented
179#396×C71C2211yescharacteristic
180#389×C71C2211yescharacteristic, complemented
181#388×C71C2211yescharacteristic
182#388×C71C2211yescharacteristic
183#388×C71C2211yescharacteristic
184#388×C71C2211yescharacteristic
185#387×C71C2211yescharacteristic, complemented
186#382×C71C2211yescharacteristic, complemented
187C4×C4⋊C4×C71C2211yescharacteristic, complemented
188C4×C4⋊C4×C71C2211yescharacteristic, complemented
189C24×D71C2311yescharacteristic
190C22×C4×D71C2311yescharacteristic
191C22×C4×D71C2311yescharacteristic
192C22×C4×D71C2311yescharacteristic
193C22×C4×D71C2311yescharacteristic
194C22×C4×D71C2311yescharacteristic
195C22×C4×D71C2311yescharacteristic
196C22×C4×D71C2311yescharacteristic
197C22×C4×D71C2311yescharacteristic
198C22×C4×D71C2311yescharacteristic
199C22×C4×D71C2311yescharacteristic
200C22×C4×D71C2311yescharacteristic
201C22×C4×D71C2311yescharacteristic
202C22×C4×D71C2311yescharacteristic
203C22×C4×D71C2311yescharacteristic
204#14556123—24no—
205#14556123—24no—
206#14556123—24no—
207#14556122—24no—
208#14556121—24no—
209#14556121—24no—
210#14556121—24no—
211#14556120—24no—
212#14556119—24no—
213#14556119—24no—
214#14556118—24no—
215#14556118—24no—
216#14556118—24no—
217#14556118—24no—
218C2×C4⋊Dic71C2311yescharacteristic
219C2×C4⋊Dic71C2311yescharacteristic
220C2×C4⋊Dic71C2311yescharacteristic
221C2×C4⋊Dic71C2311yescharacteristic
222C2×C4⋊Dic71C2311yescharacteristic
223C2×C4⋊Dic71C2311yescharacteristic
224C2×C4⋊Dic71C2311yescharacteristic
225C2×C4⋊Dic71C2311yescharacteristic
226C2×C4⋊Dic71C2311yescharacteristic
227C2×C4⋊Dic71C2311yescharacteristic
228C2×C4⋊Dic71C2311yescharacteristic
229C2×C4⋊Dic71C2311yescharacteristic
230C2×C4⋊Dic71C2311yescharacteristic
231C2×Dic71⋊C4C2311yescharacteristic
232C2×Dic71⋊C4C2311yescharacteristic
233C2×Dic71⋊C4C2311yescharacteristic
234C2×Dic71⋊C4C2311yescharacteristic
235C2×Dic71⋊C4C2311yescharacteristic
236C2×Dic71⋊C4C2311yescharacteristic
237C2×Dic71⋊C4C2311yescharacteristic
238C2×Dic71⋊C4C2311yescharacteristic
239C2×Dic71⋊C4C2311yescharacteristic
240C2×Dic71⋊C4C2311yescharacteristic
241C2×Dic71⋊C4C2311yescharacteristic
242C2×Dic71⋊C4C2311yescharacteristic
243C2×Dic71⋊C4C2311yescharacteristic
244C2×Dic71⋊C4C2311yescharacteristic
245C2×Dic71⋊C4C2311yescharacteristic
246C2×Dic71⋊C4C2311yescharacteristic
247C2×Dic71⋊C4C2311yescharacteristic
248C2×Dic71⋊C4C2311yescharacteristic
249C2×Dic71⋊C4C2311yescharacteristic
250C2×Dic71⋊C4C2311yescharacteristic
251C2×Dic71⋊C4C2311yescharacteristic
252C2×Dic71⋊C4C2311yescharacteristic
253C2×Dic71⋊C4C2311yescharacteristic
254C2×Dic71⋊C4C2311yescharacteristic
255C2×Dic71⋊C4C2311yescharacteristic
256C2×Dic71⋊C4C2311yescharacteristic
257C4⋊C4×D71—24no—
258C4⋊C4×D71—24no—
259C4⋊C4×D71—24no—
260C4⋊C4×D71—24no—
261C4⋊C4×D71—24no—
262C4⋊C4×D71—24no—
263C4⋊C4×D71—24no—
264C4⋊C4×D71—24no—
265C4⋊C4×D71—24no—
266C4⋊C4×D71—24no—
267C4⋊C4×D71—24no—
268C4⋊C4×D71—24no—
269C4⋊C4×D71D418yes—
270C2×C22⋊Dic71C2311yescharacteristic
271C2×C22⋊Dic71C2311yescharacteristic
272C2×C22⋊Dic71C2311yescharacteristic
273C2×C22⋊Dic71C2311yescharacteristic
274C2×C22⋊Dic71C2311yescharacteristic
275C2×C22⋊Dic71C2311yescharacteristic
276C2×C22⋊Dic71C2311yescharacteristic
277C2×(C2×D71)⋊C4C2311yescharacteristic
278C2×(C2×D71)⋊C4C2311yescharacteristic
279C2×(C2×D71)⋊C4C2311yescharacteristic
280C2×(C2×D71)⋊C4C2311yescharacteristic
281C2×(C2×D71)⋊C4C2311yescharacteristic
282C2×(C2×D71)⋊C4C2311yescharacteristic
283C2×(C2×D71)⋊C4C2311yescharacteristic
284C2×(C2×D71)⋊C4C2311yescharacteristic
285C2×(C2×D71)⋊C4C2311yescharacteristic
286C2×(C2×D71)⋊C4C2311yescharacteristic
287C2×(C2×D71)⋊C4C2311yescharacteristic
288C2×(C2×D71)⋊C4C2311yescharacteristic
289C2×(C2×D71)⋊C4C2311yescharacteristic
290C2×(C2×D71)⋊C4C2311yescharacteristic
291C22⋊C4×D71—24no—
292C22⋊C4×D71—24no—
293C22⋊C4×D71—24no—
294C22⋊C4×D71—24no—
295C22⋊C4×D71—24no—
296C22⋊C4×D71—24no—
297C22⋊C4×D71—24no—
298C2×C4×Dic71C2311yescharacteristic
299C2×C4×Dic71C2311yescharacteristic
300C2×C4×Dic71C2311yescharacteristic
301C2×C4×Dic71C2311yescharacteristic
302C2×C4×Dic71C2311yescharacteristic
303C2×C4×Dic71C2311yescharacteristic
304C2×C4×Dic71C2311yescharacteristic
305C2×C4×Dic71C2311yescharacteristic
306C2×C4×Dic71C2311yescharacteristic
307C2×C4×Dic71C2311yescharacteristic
308C2×C4×Dic71C2311yescharacteristic
309C2×C4×Dic71C2311yescharacteristic
310C2×C4×Dic71C2311yescharacteristic
311C2×C4×Dic71C2311yescharacteristic
312C2×C4×Dic71C2311yescharacteristic
313C42×D71—24no—
314C42×D71—24no—
315C42×D71—24no—
316C42×D71—24no—
317C42×D71—24no—
318C71⋊#95C2311yescharacteristic
319C71⋊#95C2311yescharacteristic
320C71⋊#95C2311yescharacteristic
321C71⋊#95C2311yescharacteristic
322C71⋊#95C2311yescharacteristic
323C71⋊#95C2311yescharacteristic
324C71⋊#95C2311yescharacteristic
325C71⋊#95C2311yescharacteristic
326C71⋊#95C2311yescharacteristic
327C71⋊#95C2311yescharacteristic
328C71⋊#95C2311yescharacteristic
329C71⋊#95C2311yescharacteristic
330C71⋊#95C2311yescharacteristic
331C71⋊#95C2311yescharacteristic
332C71⋊#95C2311yescharacteristic
333C71⋊#95C2311yescharacteristic
334C71⋊#95C2311yescharacteristic
335C71⋊#95C2311yescharacteristic
336C71⋊#95C2311yescharacteristic
337C71⋊#95C2311yescharacteristic
338C71⋊#95C2311yescharacteristic
339C71⋊#95C2311yescharacteristic
340C71⋊#95C2311yescharacteristic
341C71⋊#95C2311yescharacteristic
342C71⋊#95C2311yescharacteristic
343C71⋊#95C2311yescharacteristic
344C71⋊#95C2311yescharacteristic
345C71⋊#95C2311yescharacteristic
346C71⋊#95C2311yescharacteristic
347C71⋊#95C2311yescharacteristic
348#126×C71—24no—
349#125×C71—24no—
350C2×C4⋊C4×C71C2311yescharacteristic
351C2×C4⋊C4×C71C2311yescharacteristic
352C2×C4⋊C4×C71C2311yescharacteristic
353C2×C4⋊C4×C71C2311yescharacteristic
354C2×C4⋊C4×C71C2311yescharacteristic
355C2×C4⋊C4×C71C2311yescharacteristic
356C2×C4⋊C4×C71C2311yescharacteristic
357C2×C4⋊C4×C71C2311yescharacteristic
358C2×C4⋊C4×C71C2311yescharacteristic
359C2×C4⋊C4×C71C2311yescharacteristic
360C2×C4⋊C4×C71C2311yescharacteristic
361C2×C4⋊C4×C71C2311yescharacteristic
362C2×C4⋊C4×C71C2311yescharacteristic
363C2×C22⋊C4×C71C2311yescharacteristic
364C2×C22⋊C4×C71C2311yescharacteristic
365C2×C22⋊C4×C71C2311yescharacteristic
366C2×C22⋊C4×C71C2311yescharacteristic
367C2×C22⋊C4×C71C2311yescharacteristic
368C2×C22⋊C4×C71C2311yescharacteristic
369C2×C22⋊C4×C71C2311yescharacteristic
370C2×C42×C71C2311yescharacteristic
371C2×C42×C71C2311yescharacteristic
372C2×C42×C71C2311yescharacteristic
373C2×C42×C71C2311yescharacteristic
374C2×C42×C71C2311yescharacteristic
375#95×C71C2311yescharacteristic
376#95×C71C2311yescharacteristic
377#95×C71C2311yescharacteristic
378#95×C71C2311yescharacteristic
379#95×C71C2311yescharacteristic
380#95×C71C2311yescharacteristic
381#95×C71C2311yescharacteristic
382#95×C71C2311yescharacteristic
383#95×C71C2311yescharacteristic
384#95×C71C2311yescharacteristic
385C23×D71—22no—
386C23×D71—22no—
387C23×D71—22no—
388C23×D71—22no—
389C23×D71—22no—
390C23×D71—22no—
391C23×D71—22no—
392C23×D71C2411yescharacteristic
393C23×D71C2411yescharacteristic
394C22×Dic71C2411yescharacteristic
395C22×Dic71C2411yescharacteristic
396C22×Dic71C2411yescharacteristic
397C22×Dic71C2411yescharacteristic
398C22×Dic71C2411yescharacteristic
399C22×Dic71C2411yescharacteristic
400C22×Dic71C2411yescharacteristic
401C22×Dic71C2411yescharacteristic
402C22×Dic71C2411yescharacteristic
403C22×Dic71C2411yescharacteristic
404C22×Dic71C2411yescharacteristic
405C22×Dic71C2411yescharacteristic
406C22×Dic71C2411yescharacteristic
407C22×Dic71C2411yescharacteristic
408C2×C4×D71—22no—
409C2×C4×D71—22no—
410C2×C4×D71—22no—
411C2×C4×D71—22no—
412C2×C4×D71—22no—
413C2×C4×D71—22no—
414C2×C4×D71—22no—
415C2×C4×D71—22no—
416C2×C4×D71—22no—
417C2×C4×D71—22no—
418C2×C4×D71—22no—
419C2×C4×D71—22no—
420C2×C4×D71—22no—
421C2×C4×D71—22no—
422C2×C4×D71—22no—
423C2×C4×D71—22no—
424C2×C4×D71—22no—
425C2×C4×D71—22no—
426C2×C4×D71—22no—
427C2×C4×D71—22no—
428C2×C4×D71—22no—
429C2×C4×D71—22no—
430C2×C4×D71—22no—
431C2×C4×D71—22no—
432C2×C4×D71—22no—
433C2×C4×D71—22no—
434C2×C4×D71—22no—
435C2×C4×D71—22no—
436C2×C4×D71—22no—
437C2×C4×D71—22no—
438C2×C4×D71—22no—
439C2×C4×D71—22no—
440C2×C4×D71—22no—
441C2×C4×D71—22no—
442C2×C4×D71—22no—
443C2×C4×D71C2×D414yes—
444C2×C4×D71C2×D414yes—
445C2×C4×D71C2×D414yes—
446C2×C4×D71#4114yes—
447C2×C4×D71#4114yes—
448C2×C4×D71#4114yes—
449C2×C4×D71#4114yes—
450C4⋊Dic71—22no—
451C4⋊Dic71—22no—
452C4⋊Dic71—22no—
453C4⋊Dic71—22no—
454C4⋊Dic71—22no—
455C4⋊Dic71—22no—
456C4⋊Dic71—22no—
457C4⋊Dic71—22no—
458C4⋊Dic71—22no—
459C4⋊Dic71—22no—
460C4⋊Dic71—22no—
461C4⋊Dic71—22no—
462C4⋊Dic71C2×D414yes—
463Dic71⋊C4—22no—
464Dic71⋊C4—22no—
465Dic71⋊C4—22no—
466Dic71⋊C4—22no—
467Dic71⋊C4—22no—
468Dic71⋊C4—22no—
469Dic71⋊C4—22no—
470Dic71⋊C4—22no—
471Dic71⋊C4—22no—
472Dic71⋊C4—22no—
473Dic71⋊C4—22no—
474Dic71⋊C4—22no—
475Dic71⋊C4—22no—
476Dic71⋊C4—22no—
477Dic71⋊C4—22no—
478Dic71⋊C4—22no—
479Dic71⋊C4—22no—
480Dic71⋊C4—22no—
481Dic71⋊C4—22no—
482Dic71⋊C4—22no—
483Dic71⋊C4—22no—
484Dic71⋊C4—22no—
485Dic71⋊C4—22no—
486Dic71⋊C4—22no—
487Dic71⋊C4C2×D414yes—
488Dic71⋊C4C2×D414yes—
489C22⋊Dic71—22no—
490C22⋊Dic71—22no—
491C22⋊Dic71—22no—
492C22⋊Dic71—22no—
493C22⋊Dic71—22no—
494C22⋊Dic71—22no—
495C22⋊Dic71—22no—
496(C2×D71)⋊C4—22no—
497(C2×D71)⋊C4—22no—
498(C2×D71)⋊C4—22no—
499(C2×D71)⋊C4—22no—
500(C2×D71)⋊C4—22no—
501(C2×D71)⋊C4—22no—
502(C2×D71)⋊C4—22no—
503(C2×D71)⋊C4—22no—
504(C2×D71)⋊C4—22no—
505(C2×D71)⋊C4—22no—
506(C2×D71)⋊C4—22no—
507(C2×D71)⋊C4—22no—
508(C2×D71)⋊C4—22no—
509(C2×D71)⋊C4—22no—
510C4×Dic71—22no—
511C4×Dic71—22no—
512C4×Dic71—22no—
513C4×Dic71—22no—
514C4×Dic71—22no—
515C4×Dic71—22no—
516C4×Dic71—22no—
517C4×Dic71—22no—
518C4×Dic71—22no—
519C4×Dic71—22no—
520C4×Dic71—22no—
521C4×Dic71—22no—
522C4×Dic71—22no—
523C4×Dic71—22no—
524C4×Dic71—22no—
525C24×C71C2411yescharacteristic
526C22×C4×C71C2411yescharacteristic
527C22×C4×C71C2411yescharacteristic
528C22×C4×C71C2411yescharacteristic
529C22×C4×C71C2411yescharacteristic
530C22×C4×C71C2411yescharacteristic
531C22×C4×C71C2411yescharacteristic
532C22×C4×C71C2411yescharacteristic
533C22×C4×C71C2411yescharacteristic
534C22×C4×C71C2411yescharacteristic
535C22×C4×C71C2411yescharacteristic
536C22×C4×C71C2411yescharacteristic
537C22×C4×C71C2411yescharacteristic
538C22×C4×C71C2411yescharacteristic
539C22×C4×C71C2411yescharacteristic
540C4⋊C4×C71—22no—
541C4⋊C4×C71—22no—
542C4⋊C4×C71—22no—
543C4⋊C4×C71—22no—
544C4⋊C4×C71—22no—
545C4⋊C4×C71—22no—
546C4⋊C4×C71—22no—
547C4⋊C4×C71—22no—
548C4⋊C4×C71—22no—
549C4⋊C4×C71—22no—
550C4⋊C4×C71—22no—
551C4⋊C4×C71—22no—
552C4⋊C4×C71C2×D414yes—
553C22⋊C4×C71—22no—
554C22⋊C4×C71—22no—
555C22⋊C4×C71—22no—
556C22⋊C4×C71—22no—
557C22⋊C4×C71—22no—
558C22⋊C4×C71—22no—
559C22⋊C4×C71—22no—
560C42×C71—22no—
561C42×C71—22no—
562C42×C71—22no—
563C42×C71—22no—
564C42×C71—22no—
565C23×C71—21no—
566C23×C71—21no—
567C23×C71—21no—
568C23×C71—21no—
569C23×C71—21no—
570C23×C71—21no—
571C23×C71—21no—
572C23×C71C2511yescharacteristic
573C22×D71—21no—
574C22×D71—21no—
575C22×D71—21no—
576C22×D71—21no—
577C22×D71—21no—
578C22×D71—21no—
579C22×D71—21no—
580C22×D71—44no—
581C22×D71—44no—
582C22×D71—44no—
583C22×D71—44no—
584C22×D71—44no—
585C22×D71—44no—
586C22×D71—44no—
587C22×D71C22×D412yes—
588C22×D71C2×#4112yes—
589C22×D71C2×#4112yes—
590C22×D71C2×#4112yes—
591C22×D71C2×#4112yes—
592C22×D712−1+412yes—
593C22×D712−1+412yes—
594C2×C4×C71—21no—
595C2×C4×C71—21no—
596C2×C4×C71—21no—
597C2×C4×C71—21no—
598C2×C4×C71—21no—
599C2×C4×C71—21no—
600C2×C4×C71—21no—
601C2×C4×C71—21no—
602C2×C4×C71—21no—
603C2×C4×C71—21no—
604C2×C4×C71—21no—
605C2×C4×C71—21no—
606C2×C4×C71—21no—
607C2×C4×C71—21no—
608C2×C4×C71—21no—
609C2×C4×C71—21no—
610C2×C4×C71—21no—
611C2×C4×C71—21no—
612C2×C4×C71—21no—
613C2×C4×C71—21no—
614C2×C4×C71—21no—
615C2×C4×C71—21no—
616C2×C4×C71—21no—
617C2×C4×C71—21no—
618C2×C4×C71—21no—
619C2×C4×C71—21no—
620C2×C4×C71—21no—
621C2×C4×C71—21no—
622C2×C4×C71—21no—
623C2×C4×C71—21no—
624C2×C4×C71—21no—
625C2×C4×C71—21no—
626C2×C4×C71—21no—
627C2×C4×C71—21no—
628C2×C4×C71—21no—
629C2×C4×C71C22×D412yes—
630C2×C4×C71C22×D412yes—
631C2×C4×C71C22×D412yes—
632C2×C4×C71C2×#4112yes—
633C2×C4×C71C2×#4112yes—
634C2×C4×C71C2×#4112yes—
635C2×C4×C71C2×#4112yes—
636C2×Dic71—21no—
637C2×Dic71—21no—
638C2×Dic71—21no—
639C2×Dic71—21no—
640C2×Dic71—21no—
641C2×Dic71—21no—
642C2×Dic71—21no—
643C2×Dic71—21no—
644C2×Dic71—21no—
645C2×Dic71—21no—
646C2×Dic71—21no—
647C2×Dic71—21no—
648C2×Dic71—21no—
649C2×Dic71—21no—
650C2×Dic71—21no—
651C2×Dic71—21no—
652C2×Dic71—21no—
653C2×Dic71—21no—
654C2×Dic71—21no—
655C2×Dic71—21no—
656C2×Dic71—21no—
657C2×Dic71—21no—
658C2×Dic71—21no—
659C2×Dic71—21no—
660C2×Dic71—21no—
661C2×Dic71—21no—
662C2×Dic71—21no—
663C2×Dic71—21no—
664C2×Dic71—21no—
665C2×Dic71—21no—
666C2×Dic71—21no—
667C2×Dic71—21no—
668C2×Dic71—21no—
669C2×Dic71—21no—
670C2×Dic71—21no—
671C2×Dic71C22×D412yes—
672C2×Dic71C22×D412yes—
673C2×Dic71C22×D412yes—
674C2×Dic71C2×#4112yes—
675C2×Dic71C2×#4112yes—
676C2×Dic71C2×#4112yes—
677C2×Dic71C2×#4112yes—
678C4×D71—28no—
679C4×D71—28no—
680C4×D71—28no—
681C4×D71—28no—
682C4×D71—28no—
683C4×D71—28no—
684C4×D71—28no—
685C4×D71—44no—
686C4×D71—44no—
687C4×D71—44no—
688C4×D71—44no—
689C4×D71—44no—
690C4×D71—44no—
691C4×D71—44no—
692C22×C71—41no—
693C22×C71—41no—
694C22×C71—41no—
695C22×C71—41no—
696C22×C71—41no—
697C22×C71—41no—
698C22×C71—41no—
699C22×C71C23×D411yescharacteristic
700C22×C71C22×#4111yescharacteristic
701C22×C71C22×#4111yescharacteristic
702C22×C71C22×#4111yescharacteristic
703C22×C71C22×#4111yescharacteristic
704C22×C71C2×2−1+411yescharacteristic
705C22×C71C2×2−1+411yescharacteristic
706C2×D71—41no—
707C2×D71—41no—
708C2×D71—41no—
709C2×D71—41no—
710C2×D71—41no—
711C2×D71—41no—
712C2×D71—41no—
713C2×D71—88no—
714C2×D71#52914yes—
715C2×D71#53214yes—
716C2×D71#54114yes—
717C2×D71#54714yes—
718C2×D71#54814yes—
719C2×D71#55214yes—
720C2×D71#55214yes—
721C4×C71—22no—
722C4×C71—22no—
723C4×C71—22no—
724C4×C71—22no—
725C4×C71—22no—
726C4×C71—22no—
727C4×C71—22no—
728C4×C71—41no—
729C4×C71—41no—
730C4×C71—41no—
731C4×C71—41no—
732C4×C71—41no—
733C4×C71—41no—
734C4×C71—41no—
735Dic71—22no—
736Dic71—22no—
737Dic71—22no—
738Dic71—22no—
739Dic71—22no—
740Dic71—22no—
741Dic71—22no—
742Dic71—41no—
743Dic71—41no—
744Dic71—41no—
745Dic71—41no—
746Dic71—41no—
747Dic71—41no—
748Dic71—41no—
749C2×#2519—711nomaximal, Sylow
750C2×C71—81no—
751C2×C71C2×#52911yescharacteristic
752C2×C71C2×#53211yescharacteristic
753C2×C71C2×#54111yescharacteristic
754C2×C71C2×#54711yescharacteristic
755C2×C71C2×#54811yescharacteristic
756C2×C71C2×#55211yescharacteristic
757C2×C71C2×#55211yescharacteristic
758D71—81no—
759D71#251918yesdirect product factor
760C22×#126—711no—
761C22×#125—711no—
762#2519—711no—
763#2519—711no—
764#2519—711no—
765#2519—711no—
766#2519—711no—
767#2519—711no—
768#2519—711no—
769#2519—711no—
770#2519—711no—
771#2519—711no—
772#2519—711no—
773#2519—711no—
774#2519—711no—
775#2519—711no—
776#2519—711no—
777#2519D7111yescharacteristic, direct product factor
778C2×#399—711no—
779C2×#398—711no—
780C2×#398—711no—
781C2×#396—711no—
782C2×#389—711no—
783C2×#388—711no—
784C2×#388—711no—
785C2×#388—711no—
786C2×#388—711no—
787C2×#387—711no—
788C2×#382—711no—
789C2×C4×C4⋊C4—711no—
790C2×C4×C4⋊C4—711no—
791C71C2×#251911yescharacteristic, complemented, Sylow
792C2×#126—711no—
793C2×#126—711no—
794C2×#126—711no—
795C2×#126—711no—
796C2×#126—711no—
797C2×#126—711no—
798C2×#126—711no—
799C2×#126—1428no—
800C2×#126C2×D7111yescharacteristic
801C2×#125—711no—
802C2×#125—711no—
803C2×#125—711no—
804C2×#125—711no—
805C2×#125—711no—
806C2×#125—711no—
807C2×#125—711no—
808C2×#125—1428no—
809C2×#125C2×D7111yescharacteristic, complemented
810C22×C4⋊C4—711no—
811C22×C4⋊C4—711no—
812C22×C4⋊C4—711no—
813C22×C4⋊C4—711no—
814C22×C4⋊C4—711no—
815C22×C4⋊C4—711no—
816C22×C4⋊C4—711no—
817C22×C4⋊C4—711no—
818C22×C4⋊C4—711no—
819C22×C4⋊C4—711no—
820C22×C4⋊C4—711no—
821C22×C4⋊C4—711no—
822C22×C4⋊C4—711no—
823C22×C22⋊C4—711no—
824C22×C22⋊C4—711no—
825C22×C22⋊C4—711no—
826C22×C22⋊C4—711no—
827C22×C22⋊C4—711no—
828C22×C22⋊C4—711no—
829C22×C22⋊C4—711no—
830C22×C42—711no—
831C22×C42—711no—
832C22×C42—711no—
833C22×C42—711no—
834C22×C42—711no—
835#399—711no—
836#399—711no—
837#399—711no—
838#399—711no—
839#399—711no—
840#399—711no—
841#399—711no—
842#399C2×D7111yescharacteristic
843#398—711no—
844#398—711no—
845#398—711no—
846#398—711no—
847#398—711no—
848#398—711no—
849#398—711no—
850#398—711no—
851#398—711no—
852#398—711no—
853#398—711no—
854#398—711no—
855#398—711no—
856#398—711no—
857#398C2×D7111yescharacteristic, complemented
858#398C2×D7111yescharacteristic, complemented
859#396—711no—
860#396—711no—
861#396—711no—
862#396—711no—
863#396—711no—
864#396—711no—
865#396—711no—
866#396C2×D7111yescharacteristic
867#389—711no—
868#389—711no—
869#389—711no—
870#389—711no—
871#389—711no—
872#389—711no—
873#389—711no—
874#389C2×D7111yescharacteristic, complemented
875#388—711no—
876#388—711no—
877#388—711no—
878#388—711no—
879#388—711no—
880#388—711no—
881#388—711no—
882#388—711no—
883#388—711no—
884#388—711no—
885#388—711no—
886#388—711no—
887#388—711no—
888#388—711no—
889#388—711no—
890#388—711no—
891#388—711no—
892#388—711no—
893#388—711no—
894#388—711no—
895#388—711no—
896#388—711no—
897#388—711no—
898#388—711no—
899#388—711no—
900#388—711no—
901#388—711no—
902#388—711no—
903#388C2×D7111yescharacteristic
904#388C2×D7111yescharacteristic
905#388C2×D7111yescharacteristic
906#388C2×D7111yescharacteristic
907#387—711no—
908#387—711no—
909#387—711no—
910#387—711no—
911#387—711no—
912#387—711no—
913#387—711no—
914#387C2×D7111yescharacteristic, complemented
915#382—711no—
916#382—711no—
917#382—711no—
918#382—711no—
919#382—711no—
920#382—711no—
921#382—711no—
922#382C2×D7111yescharacteristic, complemented
923C4×C4⋊C4—711no—
924C4×C4⋊C4—711no—
925C4×C4⋊C4—711no—
926C4×C4⋊C4—711no—
927C4×C4⋊C4—711no—
928C4×C4⋊C4—711no—
929C4×C4⋊C4—711no—
930C4×C4⋊C4—711no—
931C4×C4⋊C4—711no—
932C4×C4⋊C4—711no—
933C4×C4⋊C4—711no—
934C4×C4⋊C4—711no—
935C4×C4⋊C4—711no—
936C4×C4⋊C4—711no—
937C4×C4⋊C4C2×D7111yescharacteristic, complemented
938C4×C4⋊C4C2×D7111yescharacteristic, complemented
939C2×#95—711no—
940C2×#95—711no—
941C2×#95—711no—
942C2×#95—711no—
943C2×#95—711no—
944C2×#95—711no—
945C2×#95—711no—
946C2×#95—711no—
947C2×#95—711no—
948C2×#95—711no—
949C25—711no—
950C23×C4—711no—
951C23×C4—711no—
952C23×C4—711no—
953C23×C4—711no—
954C23×C4—711no—
955C23×C4—711no—
956C23×C4—711no—
957C23×C4—711no—
958C23×C4—711no—
959C23×C4—711no—
960C23×C4—711no—
961C23×C4—711no—
962C23×C4—711no—
963C23×C4—711no—
964#126—24no—
965#126—1424no—
966#126—1424no—
967#126—1424no—
968#126—1424no—
969#126—1424no—
970#126—1424no—
971#126—1424no—
972#125—24no—
973#125—1424no—
974#125—1424no—
975#125—1424no—
976#125—1424no—
977#125—1424no—
978#125—1424no—
979#125—1424no—
980C2×C4⋊C4—711no—
981C2×C4⋊C4—711no—
982C2×C4⋊C4—711no—
983C2×C4⋊C4—718no—
984C2×C4⋊C4—711no—
985C2×C4⋊C4—711no—
986C2×C4⋊C4—711no—
987C2×C4⋊C4—711no—
988C2×C4⋊C4—711no—
989C2×C4⋊C4—711no—
990C2×C4⋊C4—711no—
991C2×C4⋊C4—711no—
992C2×C4⋊C4—711no—
993C2×C4⋊C4—711no—
994C2×C4⋊C4—711no—
995C2×C4⋊C4—711no—
996C2×C4⋊C4—711no—
997C2×C4⋊C4—711no—
998C2×C4⋊C4—711no—
999C2×C4⋊C4—711no—
1000C2×C4⋊C4—711no—
1001C2×C4⋊C4—711no—
1002C2×C4⋊C4—711no—
1003C2×C4⋊C4—711no—
1004C2×C4⋊C4—711no—
1005C2×C4⋊C4—711no—
1006C2×C4⋊C4—711no—
1007C2×C4⋊C4—711no—
1008C2×C4⋊C4—711no—
1009C2×C4⋊C4—711no—
1010C2×C4⋊C4—711no—
1011C2×C4⋊C4—711no—
1012C2×C4⋊C4—711no—
1013C2×C4⋊C4—711no—
1014C2×C4⋊C4—711no—
1015C2×C4⋊C4—711no—
1016C2×C4⋊C4—711no—
1017C2×C4⋊C4—711no—
1018C2×C4⋊C4—711no—
1019C2×C4⋊C4—711no—
1020C2×C4⋊C4—1424no—
1021C2×C4⋊C4—1424no—
1022C2×C4⋊C4—1424no—
1023C2×C4⋊C4—1424no—
1024C2×C4⋊C4—1424no—
1025C2×C4⋊C4—1424no—
1026C2×C4⋊C4—1424no—
1027C2×C4⋊C4—1424no—
1028C2×C4⋊C4—1424no—
1029C2×C4⋊C4—1424no—
1030C2×C4⋊C4—1424no—
1031C2×C4⋊C4—1424no—
1032C2×C4⋊C4C22×D7111yescharacteristic
1033C2×C4⋊C4C22×D7111yescharacteristic
1034C2×C4⋊C4C22×D7111yescharacteristic
1035C2×C4⋊C4C22×D7111yescharacteristic
1036C2×C4⋊C4C22×D7111yescharacteristic
1037C2×C4⋊C4C22×D7111yescharacteristic
1038C2×C4⋊C4C22×D7111yescharacteristic
1039C2×C4⋊C4C22×D7111yescharacteristic
1040C2×C4⋊C4C22×D7111yescharacteristic
1041C2×C4⋊C4C22×D7111yescharacteristic
1042C2×C4⋊C4C22×D7111yescharacteristic
1043C2×C4⋊C4C22×D7111yescharacteristic
1044C2×C4⋊C4C22×D7111yescharacteristic
1045C2×C22⋊C4—711no—
1046C2×C22⋊C4—711no—
1047C2×C22⋊C4—711no—
1048C2×C22⋊C4—711no—
1049C2×C22⋊C4—711no—
1050C2×C22⋊C4—711no—
1051C2×C22⋊C4—711no—
1052C2×C22⋊C4—711no—
1053C2×C22⋊C4—711no—
1054C2×C22⋊C4—711no—
1055C2×C22⋊C4—711no—
1056C2×C22⋊C4—711no—
1057C2×C22⋊C4—711no—
1058C2×C22⋊C4—711no—
1059C2×C22⋊C4—711no—
1060C2×C22⋊C4—711no—
1061C2×C22⋊C4—711no—
1062C2×C22⋊C4—711no—
1063C2×C22⋊C4—711no—
1064C2×C22⋊C4—711no—
1065C2×C22⋊C4—711no—
1066C2×C22⋊C4—1424no—
1067C2×C22⋊C4—1424no—
1068C2×C22⋊C4—1424no—
1069C2×C22⋊C4—1424no—
1070C2×C22⋊C4—1424no—
1071C2×C22⋊C4—1424no—
1072C2×C22⋊C4—1424no—
1073C2×C22⋊C4C22×D7111yescharacteristic
1074C2×C22⋊C4C22×D7111yescharacteristic
1075C2×C22⋊C4C22×D7111yescharacteristic
1076C2×C22⋊C4C22×D7111yescharacteristic
1077C2×C22⋊C4C22×D7111yescharacteristic
1078C2×C22⋊C4C22×D7111yescharacteristic
1079C2×C22⋊C4C22×D7111yescharacteristic
1080C2×C42—711no—
1081C2×C42—711no—
1082C2×C42—711no—
1083C2×C42—711no—
1084C2×C42—711no—
1085C2×C42—711no—
1086C2×C42—711no—
1087C2×C42—711no—
1088C2×C42—711no—
1089C2×C42—711no—
1090C2×C42—711no—
1091C2×C42—711no—
1092C2×C42—711no—
1093C2×C42—711no—
1094C2×C42—711no—
1095C2×C42—1424no—
1096C2×C42—1424no—
1097C2×C42—1424no—
1098C2×C42—1424no—
1099C2×C42—1424no—
1100C2×C42C22×D7111yescharacteristic
1101C2×C42C22×D7111yescharacteristic
1102C2×C42C22×D7111yescharacteristic
1103C2×C42C22×D7111yescharacteristic
1104C2×C42C22×D7111yescharacteristic
1105#95—711no—
1106#95—711no—
1107#95—711no—
1108#95—711no—
1109#95—711no—
1110#95—711no—
1111#95—711no—
1112#95—711no—
1113#95—711no—
1114#95—711no—
1115#95—711no—
1116#95—711no—
1117#95—711no—
1118#95—711no—
1119#95—711no—
1120#95—711no—
1121#95—711no—
1122#95—711no—
1123#95—711no—
1124#95—711no—
1125#95—711no—
1126#95—711no—
1127#95—711no—
1128#95—711no—
1129#95—711no—
1130#95—711no—
1131#95—711no—
1132#95—711no—
1133#95—711no—
1134#95—711no—
1135#95C22×D7111yescharacteristic
1136#95C22×D7111yescharacteristic
1137#95C22×D7111yescharacteristic
1138#95C22×D7111yescharacteristic
1139#95C22×D7111yescharacteristic
1140#95C22×D7111yescharacteristic
1141#95C22×D7111yescharacteristic
1142#95C22×D7111yescharacteristic
1143#95C22×D7111yescharacteristic
1144#95C22×D7111yescharacteristic
1145C24—711no—
1146C24—711no—
1147C24—1422no—
1148C24—1422no—
1149C24—1422no—
1150C24—1422no—
1151C24—1422no—
1152C24—1422no—
1153C24—1422no—
1154C24C23×D7111yescharacteristic
1155C22×C4—711no—
1156C22×C4—711no—
1157C22×C4—711no—
1158C22×C4—711no—
1159C22×C4—711no—
1160C22×C4—711no—
1161C22×C4—711no—
1162C22×C4—714no—
1163C22×C4—714no—
1164C22×C4—714no—
1165C22×C4—714no—
1166C22×C4—714no—
1167C22×C4—714no—
1168C22×C4—714no—
1169C22×C4—711no—
1170C22×C4—711no—
1171C22×C4—711no—
1172C22×C4—711no—
1173C22×C4—711no—
1174C22×C4—711no—
1175C22×C4—711no—
1176C22×C4—1422no—
1177C22×C4—1422no—
1178C22×C4—1422no—
1179C22×C4—1422no—
1180C22×C4—1422no—
1181C22×C4—1422no—
1182C22×C4—1422no—
1183C22×C4—1422no—
1184C22×C4—1422no—
1185C22×C4—1422no—
1186C22×C4—1422no—
1187C22×C4—1422no—
1188C22×C4—1422no—
1189C22×C4—1422no—
1190C22×C4—1422no—
1191C22×C4—1422no—
1192C22×C4—1422no—
1193C22×C4—1422no—
1194C22×C4—1422no—
1195C22×C4—1422no—
1196C22×C4—1422no—
1197C22×C4—1422no—
1198C22×C4—1422no—
1199C22×C4—1422no—
1200C22×C4—1422no—
1201C22×C4—1422no—
1202C22×C4—1422no—
1203C22×C4—1422no—
1204C22×C4—1422no—
1205C22×C4—1422no—
1206C22×C4—1422no—
1207C22×C4—1422no—
1208C22×C4—1422no—
1209C22×C4—1422no—
1210C22×C4—1422no—
1211C22×C4C23×D7111yescharacteristic
1212C22×C4C23×D7111yescharacteristic
1213C22×C4C23×D7111yescharacteristic
1214C22×C4C23×D7111yescharacteristic
1215C22×C4C23×D7111yescharacteristic
1216C22×C4C23×D7111yescharacteristic
1217C22×C4C23×D7111yescharacteristic
1218C22×C4C23×D7111yescharacteristic
1219C22×C4C23×D7111yescharacteristic
1220C22×C4C23×D7111yescharacteristic
1221C22×C4C23×D7111yescharacteristic
1222C22×C4C23×D7111yescharacteristic
1223C22×C4C23×D7111yescharacteristic
1224C22×C4C23×D7111yescharacteristic
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—22no—
1232C4⋊C4—22no—
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—22no—
1236C4⋊C4—22no—
1237C4⋊C4—714no—
1238C4⋊C4—714no—
1239C4⋊C4—714no—
1240C4⋊C4—1422no—
1241C4⋊C4—1422no—
1242C4⋊C4—1422no—
1243C4⋊C4—1422no—
1244C4⋊C4—1422no—
1245C4⋊C4—1422no—
1246C4⋊C4—1422no—
1247C4⋊C4—1422no—
1248C4⋊C4—1422no—
1249C4⋊C4—1422no—
1250C4⋊C4—1422no—
1251C4⋊C4—1422no—
1252C4⋊C4—1422no—
1253C4⋊C4—1422no—
1254C4⋊C4—1422no—
1255C4⋊C4—1422no—
1256C4⋊C4—1422no—
1257C4⋊C4—1422no—
1258C4⋊C4—1422no—
1259C4⋊C4—1422no—
1260C4⋊C4—1422no—
1261C4⋊C4—1422no—
1262C4⋊C4—1422no—
1263C4⋊C4—1422no—
1264C4⋊C4—1422no—
1265C4⋊C4—1422no—
1266C4⋊C4—1422no—
1267C4⋊C4—1422no—
1268C4⋊C4—1422no—
1269C4⋊C4—1422no—
1270C4⋊C4—1422no—
1271C4⋊C4—1422no—
1272C4⋊C4—1422no—
1273C4⋊C4—1422no—
1274C4⋊C4—1422no—
1275C4⋊C4—1422no—
1276C4⋊C4D4×D7114yes—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—22no—
1282C22⋊C4—22no—
1283C22⋊C4—22no—
1284C22⋊C4—1422no—
1285C22⋊C4—1422no—
1286C22⋊C4—1422no—
1287C22⋊C4—1422no—
1288C22⋊C4—1422no—
1289C22⋊C4—1422no—
1290C22⋊C4—1422no—
1291C22⋊C4—1422no—
1292C22⋊C4—1422no—
1293C22⋊C4—1422no—
1294C22⋊C4—1422no—
1295C22⋊C4—1422no—
1296C22⋊C4—1422no—
1297C22⋊C4—1422no—
1298C22⋊C4—1422no—
1299C22⋊C4—1422no—
1300C22⋊C4—1422no—
1301C22⋊C4—1422no—
1302C22⋊C4—1422no—
1303C22⋊C4—1422no—
1304C22⋊C4—1422no—
1305C42—22no—
1306C42—22no—
1307C42—22no—
1308C42—22no—
1309C42—22no—
1310C42—1422no—
1311C42—1422no—
1312C42—1422no—
1313C42—1422no—
1314C42—1422no—
1315C42—1422no—
1316C42—1422no—
1317C42—1422no—
1318C42—1422no—
1319C42—1422no—
1320C42—1422no—
1321C42—1422no—
1322C42—1422no—
1323C42—1422no—
1324C42—1422no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—2844no—
1333C23—2844no—
1334C23—2844no—
1335C23—2844no—
1336C23—2844no—
1337C23—2844no—
1338C23—2844no—
1339C23—712no—
1340C23—712no—
1341C23—712no—
1342C23—712no—
1343C23—712no—
1344C23—712no—
1345C23—712no—
1346C23—1421no—
1347C23—1421no—
1348C23—1421no—
1349C23—1421no—
1350C23—1421no—
1351C23—1421no—
1352C23—1421no—
1353C23C24×D7111yescharacteristic
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—2844no—
1390C2×C4—2844no—
1391C2×C4—2844no—
1392C2×C4—2844no—
1393C2×C4—2844no—
1394C2×C4—2844no—
1395C2×C4—2844no—
1396C2×C4—712no—
1397C2×C4—712no—
1398C2×C4—712no—
1399C2×C4—712no—
1400C2×C4—712no—
1401C2×C4—712no—
1402C2×C4—712no—
1403C2×C4—1428no—
1404C2×C4—1428no—
1405C2×C4—1428no—
1406C2×C4—1428no—
1407C2×C4—1428no—
1408C2×C4—1428no—
1409C2×C4—1428no—
1410C2×C4—1421no—
1411C2×C4—1421no—
1412C2×C4—1421no—
1413C2×C4—1421no—
1414C2×C4—1421no—
1415C2×C4—1421no—
1416C2×C4—1421no—
1417C2×C4—1421no—
1418C2×C4—1421no—
1419C2×C4—1421no—
1420C2×C4—1421no—
1421C2×C4—1421no—
1422C2×C4—1421no—
1423C2×C4—1421no—
1424C2×C4—1421no—
1425C2×C4—1421no—
1426C2×C4—1421no—
1427C2×C4—1421no—
1428C2×C4—1421no—
1429C2×C4—1421no—
1430C2×C4—1421no—
1431C2×C4—1421no—
1432C2×C4—1421no—
1433C2×C4—1421no—
1434C2×C4—1421no—
1435C2×C4—1421no—
1436C2×C4—1421no—
1437C2×C4—1421no—
1438C2×C4—1421no—
1439C2×C4—1421no—
1440C2×C4—1421no—
1441C2×C4—1421no—
1442C2×C4—1421no—
1443C2×C4—1421no—
1444C2×C4—1421no—
1445C2×C4C2×D4×D7112yes—
1446C2×C4C2×D4×D7112yes—
1447C2×C4C2×D4×D7112yes—
1448C2×C4#41×D7112yes—
1449C2×C4#41×D7112yes—
1450C2×C4#41×D7112yes—
1451C2×C4#41×D7112yes—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—2841no—
1460C22—2841no—
1461C22—2841no—
1462C22—2841no—
1463C22—2841no—
1464C22—2841no—
1465C22—2841no—
1466C22—5688no—
1467C22—714no—
1468C22—714no—
1469C22—714no—
1470C22—714no—
1471C22—714no—
1472C22—714no—
1473C22—714no—
1474C22C22×D4×D7111yescharacteristic
1475C22C2×#41×D7111yescharacteristic
1476C22C2×#41×D7111yescharacteristic
1477C22C2×#41×D7111yescharacteristic
1478C22C2×#41×D7111yescharacteristic
1479C222−1+4×D7111yescharacteristic
1480C222−1+4×D7111yescharacteristic
1481C4—22no—
1482C4—22no—
1483C4—22no—
1484C4—22no—
1485C4—22no—
1486C4—22no—
1487C4—22no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—2841no—
1496C4—2841no—
1497C4—2841no—
1498C4—2841no—
1499C4—2841no—
1500C4—2841no—
1501C4—2841no—
1502C4—1422no—
1503C4—1422no—
1504C4—1422no—
1505C4—1422no—
1506C4—1422no—
1507C4—1422no—
1508C4—1422no—
1509C2—81no—
1510C2—5681no—
1511C2—718no—
1512C2#529×D7111yescharacteristic
1513C2#532×D7111yescharacteristic
1514C2#541×D7111yescharacteristic
1515C2#547×D7111yescharacteristic
1516C2#548×D7111yescharacteristic
1517C2#552×D7111yescharacteristic
1518C2#552×D7111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2519C2
prime radicalC24×D71C23
hypercenter#2519D71
hypocenterC71C2×#2519
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2519

Complements

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

NH ≅ G/Ntype
2. C2×#125×D71C2semidirect
3. #22593020C2semidirect
4. #22593019C2semidirect
5. #22593018C2semidirect
6. #22593017C2semidirect
7. #22593016C2semidirect
8. #22593015C2semidirect
9. #22593014C2semidirect
10. #22593013C2semidirect
11. #22593012C2semidirect
12. #22593011C2semidirect
13. #22593010C2semidirect
14. #22593009C2semidirect
15. #22593008C2semidirect
16. #22593007C2semidirect
17. #22593006C2semidirect
19. #398×D71C2semidirect
20. #398×D71C2semidirect
22. #389×D71C2semidirect
27. #387×D71C2semidirect
28. #382×D71C2semidirect
29. C4×C4⋊C4×D71C2semidirect
30. C4×C4⋊C4×D71C2semidirect
31. C71×#2519C2semidirect
40. C2×#14556120C22semidirect
41. C2×#14556119C22semidirect
42. C2×#14556119C22semidirect
43. C2×#14556118C22semidirect
44. C2×#14556118C22semidirect
45. C2×#14556118C22semidirect
46. C2×#14556118C22semidirect
80. #17985933C22semidirect
81. #17985933C22semidirect
82. #17985933C22semidirect
83. #17985933C22semidirect
84. #17985932C22semidirect
85. #17985932C22semidirect
86. #17985932C22semidirect
87. #17985932C22semidirect
88. #17985931C22semidirect
89. #17985931C22semidirect
90. #17985930C22semidirect
91. #17985930C22semidirect
92. #17985929C22semidirect
93. #17985929C22semidirect
101. #17985898C22semidirect
102. #17985897C22semidirect
103. #17985896C22semidirect
104. #17985896C22semidirect
105. #17985895C22semidirect
106. #17985894C22semidirect
107. #17985894C22semidirect
136. #17985886C22semidirect
137. #17985885C22semidirect
138. #17985884C22semidirect
139. #17985883C22semidirect
140. #17985882C22semidirect
141. #17985881C22semidirect
142. #17985880C22semidirect
143. #17985865C22semidirect
144. #17985864C22semidirect
145. #17985864C22semidirect
146. #17985863C22semidirect
147. #17985863C22semidirect
148. #17985863C22semidirect
149. #17985863C22semidirect
150. C4⋊C4×Dic71C22semidirect
151. C4⋊C4×Dic71C22semidirect
152. C4⋊C4×Dic71C22semidirect
153. C4⋊C4×Dic71C22semidirect
154. C4×Dic71⋊C4C22semidirect
155. C4×Dic71⋊C4C22semidirect
156. C4×Dic71⋊C4C22semidirect
157. C4×Dic71⋊C4C22semidirect
158. C4×C4⋊Dic71C22semidirect
159. C4×C4⋊Dic71C22semidirect
160. #17985850C22semidirect
161. #17985850C22semidirect
162. #17985850C22semidirect
163. #17985850C22semidirect
175. C2×#125×C71C22semidirect
177. #398×C71C22semidirect
178. #398×C71C22semidirect
180. #389×C71C22semidirect
185. #387×C71C22semidirect
186. #382×C71C22semidirect
187. C4×C4⋊C4×C71C22semidirect
188. C4×C4⋊C4×C71C22semidirect
759. D71#2519direct (N × H)
777. #2519D71direct (N × H)
791. C71C2×#2519semidirect
809. C2×#125C2×D71semidirect
857. #398C2×D71semidirect
858. #398C2×D71semidirect
874. #389C2×D71semidirect
914. #387C2×D71semidirect
922. #382C2×D71semidirect
937. C4×C4⋊C4C2×D71semidirect
938. C4×C4⋊C4C2×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#126×D712
C2×#125×D712
#225930202
#225930192
#225930182
#225930172
#225930162
#225930152
#225930142
#225930132
#225930122
#225930112
#225930102
#225930092
#225930082
#225930072
#225930062
#399×D712
#398×D712
#396×D712
#389×D712
#388×D712
#387×D712
#382×D712
C4×C4⋊C4×D712
C71×#25192
C2×#251971