Finite Group Databasebeta

← #2651×D71 #32164075

Subgroups — #2651×D71 #32164075

Order 18176.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22594380C211yesmaximal, characteristic, complemented
2#22594379C211yesmaximal, characteristic, complemented
3#22594378C211yesmaximal, characteristic, complemented
4#22594377C211yesmaximal, characteristic, complemented
5#22594376C211yesmaximal, characteristic, complemented
6#22594375C211yesmaximal, characteristic, complemented
7#22594374C211yesmaximal, characteristic, complemented
8#22594373C211yesmaximal, characteristic, complemented
9#22594372C211yesmaximal, characteristic, complemented
10#22594371C211yesmaximal, characteristic, complemented
11#22594370C211yesmaximal, characteristic, complemented
12#22594369C211yesmaximal, characteristic, complemented
13#22594368C211yesmaximal, characteristic, complemented
14#22594367C211yesmaximal, characteristic, complemented
15#22594366C211yesmaximal, characteristic, complemented
16#399×D71C211yesmaximal, characteristic, complemented
17#398×D71C211yesmaximal, characteristic, complemented
18#398×D71C211yesmaximal, characteristic, complemented
19#397×D71C211yesmaximal, characteristic, complemented
20#397×D71C211yesmaximal, characteristic, complemented
21#396×D71C211yesmaximal, characteristic, complemented
22#394×D71C211yesmaximal, characteristic
23#394×D71C211yesmaximal, characteristic
24#390×D71C211yesmaximal, characteristic
25#388×D71C211yesmaximal, characteristic, complemented
26#388×D71C211yesmaximal, characteristic, complemented
27#388×D71C211yesmaximal, characteristic, complemented
28#388×D71C211yesmaximal, characteristic, complemented
29#387×D71C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D71C211yesmaximal, characteristic, complemented
31C71×#2651C211yesmaximal, characteristic, complemented
32C22×D4×D71C2211yescharacteristic
33C2×C4⋊C4×D71C2211yescharacteristic
34C2×C4⋊C4×D71C2211yescharacteristic
35C2×C4⋊C4×D71C2211yescharacteristic
36C2×C4⋊C4×D71C2211yescharacteristic
37C2×C4⋊C4×D71C2211yescharacteristic
38C2×C4⋊C4×D71C2211yescharacteristic
39C2×C4⋊C4×D71C2211yescharacteristic
40C2×C4⋊C4×D71C2211yescharacteristic
41C2×C4⋊C4×D71C2211yescharacteristic
42C2×C22⋊C4×D71C2211yescharacteristic
43C2×C22⋊C4×D71C2211yescharacteristic
44C2×C22⋊C4×D71C2211yescharacteristic
45C2×C22⋊C4×D71C2211yescharacteristic
46C2×C22⋊C4×D71C2211yescharacteristic
47C2×C22⋊C4×D71C2211yescharacteristic
48C2×C22⋊C4×D71C2211yescharacteristic
49C2×C22⋊C4×D71C2211yescharacteristic
50C2×C22⋊C4×D71C2211yescharacteristic
51C2×C22⋊C4×D71C2211yescharacteristic
52C2×C22⋊C4×D71C2211yescharacteristic
53C2×C22⋊C4×D71C2211yescharacteristic
54C2×C42×D71C2211yescharacteristic
55C2×C42×D71C2211yescharacteristic
56C2×C42×D71C2211yescharacteristic
57#17985936C2211yescharacteristic, complemented
58#17985935C2211yescharacteristic, complemented
59#17985935C2211yescharacteristic, complemented
60#17985935C2211yescharacteristic, complemented
61#17985934C2211yescharacteristic, complemented
62#17985934C2211yescharacteristic, complemented
63#17985934C2211yescharacteristic, complemented
64#17985933C2211yescharacteristic, complemented
65#17985933C2211yescharacteristic, complemented
66#17985933C2211yescharacteristic, complemented
67#17985933C2211yescharacteristic, complemented
68#17985932C2211yescharacteristic, complemented
69#17985932C2211yescharacteristic, complemented
70#17985932C2211yescharacteristic, complemented
71#17985932C2211yescharacteristic, complemented
72#17985931C2211yescharacteristic, complemented
73#17985931C2211yescharacteristic, complemented
74#17985930C2211yescharacteristic, complemented
75#17985930C2211yescharacteristic, complemented
76#17985929C2211yescharacteristic, complemented
77#17985929C2211yescharacteristic, complemented
78#17985928C2211yescharacteristic, complemented
79#17985928C2211yescharacteristic, complemented
80#17985928C2211yescharacteristic, complemented
81#17985928C2211yescharacteristic, complemented
82#17985927C2211yescharacteristic, complemented
83#17985927C2211yescharacteristic, complemented
84#17985927C2211yescharacteristic, complemented
85#17985927C2211yescharacteristic, complemented
86#17985926C2211yescharacteristic, complemented
87#17985926C2211yescharacteristic, complemented
88#17985925C2211yescharacteristic, complemented
89#17985925C2211yescharacteristic, complemented
90#17985924C2211yescharacteristic, complemented
91#17985924C2211yescharacteristic, complemented
92#17985923C2211yescharacteristic, complemented
93#17985922C2211yescharacteristic, complemented
94#17985922C2211yescharacteristic, complemented
95#17985922C2211yescharacteristic, complemented
96#17985921C2211yescharacteristic, complemented
97#17985921C2211yescharacteristic, complemented
98#17985921C2211yescharacteristic, complemented
99#17985917C2211yescharacteristic
100#17985917C2211yescharacteristic
101#17985916C2211yescharacteristic
102#17985916C2211yescharacteristic
103#17985915C2211yescharacteristic
104#17985915C2211yescharacteristic
105#17985915C2211yescharacteristic
106#17985915C2211yescharacteristic
107#17985914C2211yescharacteristic
108#17985914C2211yescharacteristic
109#17985914C2211yescharacteristic
110#17985914C2211yescharacteristic
111#17985913C2211yescharacteristic
112#17985913C2211yescharacteristic
113#17985902C2211yescharacteristic
114#17985901C2211yescharacteristic
115#17985900C2211yescharacteristic
116#17985899C2211yescharacteristic
117#17985899C2211yescharacteristic
118#17985899C2211yescharacteristic
119#17985899C2211yescharacteristic
120#17985893C2211yescharacteristic, complemented
121#17985893C2211yescharacteristic, complemented
122#17985893C2211yescharacteristic, complemented
123#17985893C2211yescharacteristic, complemented
124#17985892C2211yescharacteristic, complemented
125#17985892C2211yescharacteristic, complemented
126#17985892C2211yescharacteristic, complemented
127#17985892C2211yescharacteristic, complemented
128#17985891C2211yescharacteristic, complemented
129#17985891C2211yescharacteristic, complemented
130#17985891C2211yescharacteristic, complemented
131#17985891C2211yescharacteristic, complemented
132#17985890C2211yescharacteristic, complemented
133#17985890C2211yescharacteristic, complemented
134#17985890C2211yescharacteristic, complemented
135#17985890C2211yescharacteristic, complemented
136#17985889C2211yescharacteristic, complemented
137#17985889C2211yescharacteristic, complemented
138#17985889C2211yescharacteristic, complemented
139#17985889C2211yescharacteristic, complemented
140#17985888C2211yescharacteristic, complemented
141#17985888C2211yescharacteristic, complemented
142#17985888C2211yescharacteristic, complemented
143#17985888C2211yescharacteristic, complemented
144#17985887C2211yescharacteristic, complemented
145#17985887C2211yescharacteristic, complemented
146#17985887C2211yescharacteristic, complemented
147#17985887C2211yescharacteristic, complemented
148#17985886C2211yescharacteristic, complemented
149#17985885C2211yescharacteristic, complemented
150#17985884C2211yescharacteristic, complemented
151#17985883C2211yescharacteristic, complemented
152#17985882C2211yescharacteristic, complemented
153#17985881C2211yescharacteristic, complemented
154#17985880C2211yescharacteristic, complemented
155C4⋊C4×Dic71C2211yescharacteristic, complemented
156C4⋊C4×Dic71C2211yescharacteristic, complemented
157C4×Dic71⋊C4C2211yescharacteristic, complemented
158C4×Dic71⋊C4C2211yescharacteristic, complemented
159C4×C4⋊Dic71C2211yescharacteristic, complemented
160#17985850C2211yescharacteristic, complemented
161#17985850C2211yescharacteristic, complemented
162#95×D71C2211yescharacteristic
163#95×D71C2211yescharacteristic
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#399×C71C2211yescharacteristic, complemented
173#398×C71C2211yescharacteristic, complemented
174#398×C71C2211yescharacteristic, complemented
175#397×C71C2211yescharacteristic, complemented
176#397×C71C2211yescharacteristic, complemented
177#396×C71C2211yescharacteristic, complemented
178#394×C71C2211yescharacteristic
179#394×C71C2211yescharacteristic
180#390×C71C2211yescharacteristic
181#388×C71C2211yescharacteristic, complemented
182#388×C71C2211yescharacteristic, complemented
183#388×C71C2211yescharacteristic, complemented
184#388×C71C2211yescharacteristic, complemented
185#387×C71C2211yescharacteristic, complemented
186C4×C4⋊C4×C71C2211yescharacteristic, complemented
187C24×D71C2311yescharacteristic
188C24×D71C2311yescharacteristic
189C22×D284C2311yescharacteristic
190C22×C22⋊D71C2311yescharacteristic
191C22×C22⋊D71C2311yescharacteristic
192C2×D4×D71—24no—
193C2×D4×D71—42no—
194C2×D4×D71—42no—
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
204C22×C4×D71C2311yescharacteristic
205C22×C4×D71C2311yescharacteristic
206C22×C4×D71C2311yescharacteristic
207C22×C4×D71C2311yescharacteristic
208C2×C4⋊Dic71C2311yescharacteristic
209C2×C4⋊Dic71C2311yescharacteristic
210C2×C4⋊Dic71C2311yescharacteristic
211C2×C4⋊Dic71C2311yescharacteristic
212C2×C4⋊Dic71C2311yescharacteristic
213C2×C4⋊Dic71C2311yescharacteristic
214C2×C4⋊Dic71C2311yescharacteristic
215C2×C4⋊Dic71C2311yescharacteristic
216C2×C4⋊Dic71C2311yescharacteristic
217C2×Dic71⋊C4C2311yescharacteristic
218C2×Dic71⋊C4C2311yescharacteristic
219C2×Dic71⋊C4C2311yescharacteristic
220C2×Dic71⋊C4C2311yescharacteristic
221C2×Dic71⋊C4C2311yescharacteristic
222C2×Dic71⋊C4C2311yescharacteristic
223C2×Dic71⋊C4C2311yescharacteristic
224C2×Dic71⋊C4C2311yescharacteristic
225C2×Dic71⋊C4C2311yescharacteristic
226C2×Dic71⋊C4C2311yescharacteristic
227C2×Dic71⋊C4C2311yescharacteristic
228C2×Dic71⋊C4C2311yescharacteristic
229C2×Dic71⋊C4C2311yescharacteristic
230C2×Dic71⋊C4C2311yescharacteristic
231C2×Dic71⋊C4C2311yescharacteristic
232C2×Dic71⋊C4C2311yescharacteristic
233C2×Dic71⋊C4C2311yescharacteristic
234C2×Dic71⋊C4C2311yescharacteristic
235C4⋊C4×D71—24no—
236C4⋊C4×D71—24no—
237C4⋊C4×D71—24no—
238C4⋊C4×D71—42no—
239C4⋊C4×D71—42no—
240C4⋊C4×D71—42no—
241C4⋊C4×D71—42no—
242C4⋊C4×D71—42no—
243C4⋊C4×D71—42no—
244C2×C22⋊Dic71C2311yescharacteristic
245C2×C22⋊Dic71C2311yescharacteristic
246C2×C22⋊Dic71C2311yescharacteristic
247C2×C22⋊Dic71C2311yescharacteristic
248C2×C22⋊Dic71C2311yescharacteristic
249C2×C22⋊Dic71C2311yescharacteristic
250C2×C22⋊Dic71C2311yescharacteristic
251C2×C22⋊Dic71C2311yescharacteristic
252C2×C22⋊Dic71C2311yescharacteristic
253C2×C22⋊Dic71C2311yescharacteristic
254C2×C22⋊Dic71C2311yescharacteristic
255C2×C22⋊Dic71C2311yescharacteristic
256C2×(C2×D71)⋊C4C2311yescharacteristic
257C2×(C2×D71)⋊C4C2311yescharacteristic
258C2×(C2×D71)⋊C4C2311yescharacteristic
259C2×(C2×D71)⋊C4C2311yescharacteristic
260C2×(C2×D71)⋊C4C2311yescharacteristic
261C2×(C2×D71)⋊C4C2311yescharacteristic
262C2×(C2×D71)⋊C4C2311yescharacteristic
263C2×(C2×D71)⋊C4C2311yescharacteristic
264C2×(C2×D71)⋊C4C2311yescharacteristic
265C2×(C2×D71)⋊C4C2311yescharacteristic
266C2×(C2×D71)⋊C4C2311yescharacteristic
267C2×(C2×D71)⋊C4C2311yescharacteristic
268C2×(C2×D71)⋊C4C2311yescharacteristic
269C2×(C2×D71)⋊C4C2311yescharacteristic
270C2×(C2×D71)⋊C4C2311yescharacteristic
271C2×(C2×D71)⋊C4C2311yescharacteristic
272C2×(C2×D71)⋊C4C2311yescharacteristic
273C2×(C2×D71)⋊C4C2311yescharacteristic
274C2×(C2×D71)⋊C4C2311yescharacteristic
275C2×(C2×D71)⋊C4C2311yescharacteristic
276C2×(C2×D71)⋊C4C2311yescharacteristic
277C2×(C2×D71)⋊C4C2311yescharacteristic
278C2×(C2×D71)⋊C4C2311yescharacteristic
279C2×(C2×D71)⋊C4C2311yescharacteristic
280C22⋊C4×D71—24no—
281C22⋊C4×D71—24no—
282C22⋊C4×D71—24no—
283C22⋊C4×D71—24no—
284C22⋊C4×D71—42no—
285C22⋊C4×D71—42no—
286C22⋊C4×D71—42no—
287C22⋊C4×D71—42no—
288C22⋊C4×D71—42no—
289C22⋊C4×D71—42no—
290C22⋊C4×D71—42no—
291C22⋊C4×D71—42no—
292C2×C4×Dic71C2311yescharacteristic
293C2×C4×Dic71C2311yescharacteristic
294C2×C4×Dic71C2311yescharacteristic
295C2×C4×Dic71C2311yescharacteristic
296C2×C4×Dic71C2311yescharacteristic
297C2×C4×Dic71C2311yescharacteristic
298C2×C4×Dic71C2311yescharacteristic
299C2×C4×Dic71C2311yescharacteristic
300C2×C4×Dic71C2311yescharacteristic
301C42×D71—24no—
302C42×D71—42no—
303C42×D71—42no—
304C71⋊#95C2311yescharacteristic
305C71⋊#95C2311yescharacteristic
306C71⋊#95C2311yescharacteristic
307C71⋊#95C2311yescharacteristic
308C71⋊#95C2311yescharacteristic
309C71⋊#95C2311yescharacteristic
310C71⋊#95C2311yescharacteristic
311C71⋊#95C2311yescharacteristic
312C71⋊#95C2311yescharacteristic
313C71⋊#95C2311yescharacteristic
314C71⋊#95C2311yescharacteristic
315C71⋊#95C2311yescharacteristic
316C71⋊#95C2311yescharacteristic
317C71⋊#95C2311yescharacteristic
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
334C22×D4×C71C2311yescharacteristic
335C2×C4⋊C4×C71C2311yescharacteristic
336C2×C4⋊C4×C71C2311yescharacteristic
337C2×C4⋊C4×C71C2311yescharacteristic
338C2×C4⋊C4×C71C2311yescharacteristic
339C2×C4⋊C4×C71C2311yescharacteristic
340C2×C4⋊C4×C71C2311yescharacteristic
341C2×C4⋊C4×C71C2311yescharacteristic
342C2×C4⋊C4×C71C2311yescharacteristic
343C2×C4⋊C4×C71C2311yescharacteristic
344C2×C22⋊C4×C71C2311yescharacteristic
345C2×C22⋊C4×C71C2311yescharacteristic
346C2×C22⋊C4×C71C2311yescharacteristic
347C2×C22⋊C4×C71C2311yescharacteristic
348C2×C22⋊C4×C71C2311yescharacteristic
349C2×C22⋊C4×C71C2311yescharacteristic
350C2×C22⋊C4×C71C2311yescharacteristic
351C2×C22⋊C4×C71C2311yescharacteristic
352C2×C22⋊C4×C71C2311yescharacteristic
353C2×C22⋊C4×C71C2311yescharacteristic
354C2×C22⋊C4×C71C2311yescharacteristic
355C2×C22⋊C4×C71C2311yescharacteristic
356C2×C42×C71C2311yescharacteristic
357C2×C42×C71C2311yescharacteristic
358C2×C42×C71C2311yescharacteristic
359#95×C71C2311yescharacteristic
360#95×C71C2311yescharacteristic
361#95×C71C2311yescharacteristic
362#95×C71C2311yescharacteristic
363#95×C71C2311yescharacteristic
364#95×C71C2311yescharacteristic
365#95×C71C2311yescharacteristic
366#95×C71C2311yescharacteristic
367#95×C71C2311yescharacteristic
368#95×C71C2311yescharacteristic
369C23×D71—22no—
370C23×D71—22no—
371C23×D71—22no—
372C23×D71—22no—
373C23×D71—22no—
374C23×D71—22no—
375C23×D71—22no—
376C23×D71—22no—
377C23×D71—22no—
378C23×D71—22no—
379C23×D71—22no—
380C23×D71—22no—
381C23×D71—22no—
382C23×D71—22no—
383C23×D71C2411yescharacteristic
384C23×D71C2411yescharacteristic
385C23×D71C2411yescharacteristic
386C2×D284—22no—
387C2×D284—41no—
388C2×D284—41no—
389C2×C22⋊D71—22no—
390C2×C22⋊D71—22no—
391C2×C22⋊D71—41no—
392C2×C22⋊D71—41no—
393C2×C22⋊D71—41no—
394C2×C22⋊D71—41no—
395D4×D71—416no—
396C22×Dic71C2411yescharacteristic
397C22×Dic71C2411yescharacteristic
398C22×Dic71C2411yescharacteristic
399C22×Dic71C2411yescharacteristic
400C22×Dic71C2411yescharacteristic
401C22×Dic71C2411yescharacteristic
402C22×Dic71C2411yescharacteristic
403C22×Dic71C2411yescharacteristic
404C22×Dic71C2411yescharacteristic
405C22×Dic71C2411yescharacteristic
406C22×Dic71C2411yescharacteristic
407C22×Dic71C2411yescharacteristic
408C22×Dic71C2411yescharacteristic
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×D71—22no—
444C2×C4×D71—22no—
445C2×C4×D71#4114yes—
446C2×C4×D71#4114yes—
447C2×C4×D71#4114yes—
448C4⋊Dic71—22no—
449C4⋊Dic71—22no—
450C4⋊Dic71—22no—
451C4⋊Dic71—41no—
452C4⋊Dic71—41no—
453C4⋊Dic71—41no—
454C4⋊Dic71—41no—
455C4⋊Dic71—41no—
456C4⋊Dic71—41no—
457Dic71⋊C4—22no—
458Dic71⋊C4—22no—
459Dic71⋊C4—22no—
460Dic71⋊C4—22no—
461Dic71⋊C4—22no—
462Dic71⋊C4—22no—
463Dic71⋊C4—41no—
464Dic71⋊C4—41no—
465Dic71⋊C4—41no—
466Dic71⋊C4—41no—
467Dic71⋊C4—41no—
468Dic71⋊C4—41no—
469Dic71⋊C4—41no—
470Dic71⋊C4—41no—
471Dic71⋊C4—41no—
472Dic71⋊C4—41no—
473Dic71⋊C4—41no—
474Dic71⋊C4—41no—
475C22⋊Dic71—22no—
476C22⋊Dic71—22no—
477C22⋊Dic71—22no—
478C22⋊Dic71—22no—
479C22⋊Dic71—41no—
480C22⋊Dic71—41no—
481C22⋊Dic71—41no—
482C22⋊Dic71—41no—
483C22⋊Dic71—41no—
484C22⋊Dic71—41no—
485C22⋊Dic71—41no—
486C22⋊Dic71—41no—
487(C2×D71)⋊C4—22no—
488(C2×D71)⋊C4—22no—
489(C2×D71)⋊C4—22no—
490(C2×D71)⋊C4—22no—
491(C2×D71)⋊C4—22no—
492(C2×D71)⋊C4—22no—
493(C2×D71)⋊C4—22no—
494(C2×D71)⋊C4—22no—
495(C2×D71)⋊C4—41no—
496(C2×D71)⋊C4—41no—
497(C2×D71)⋊C4—41no—
498(C2×D71)⋊C4—41no—
499(C2×D71)⋊C4—41no—
500(C2×D71)⋊C4—41no—
501(C2×D71)⋊C4—41no—
502(C2×D71)⋊C4—41no—
503(C2×D71)⋊C4—41no—
504(C2×D71)⋊C4—41no—
505(C2×D71)⋊C4—41no—
506(C2×D71)⋊C4—41no—
507(C2×D71)⋊C4—41no—
508(C2×D71)⋊C4—41no—
509(C2×D71)⋊C4—41no—
510(C2×D71)⋊C4—41no—
511C4×Dic71—22no—
512C4×Dic71—22no—
513C4×Dic71—22no—
514C4×Dic71—41no—
515C4×Dic71—41no—
516C4×Dic71—41no—
517C4×Dic71—41no—
518C4×Dic71—41no—
519C4×Dic71—41no—
520C24×C71C2411yescharacteristic
521C24×C71C2411yescharacteristic
522C2×D4×C71—22no—
523C2×D4×C71—41no—
524C2×D4×C71—41no—
525C22×C4×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
538C4⋊C4×C71—22no—
539C4⋊C4×C71—22no—
540C4⋊C4×C71—22no—
541C4⋊C4×C71—41no—
542C4⋊C4×C71—41no—
543C4⋊C4×C71—41no—
544C4⋊C4×C71—41no—
545C4⋊C4×C71—41no—
546C4⋊C4×C71—41no—
547C22⋊C4×C71—22no—
548C22⋊C4×C71—22no—
549C22⋊C4×C71—22no—
550C22⋊C4×C71—22no—
551C22⋊C4×C71—41no—
552C22⋊C4×C71—41no—
553C22⋊C4×C71—41no—
554C22⋊C4×C71—41no—
555C22⋊C4×C71—41no—
556C22⋊C4×C71—41no—
557C22⋊C4×C71—41no—
558C22⋊C4×C71—41no—
559C42×C71—22no—
560C42×C71—41no—
561C42×C71—41no—
562C23×C71—21no—
563C23×C71—21no—
564C23×C71—21no—
565C23×C71—21no—
566C23×C71—21no—
567C23×C71—21no—
568C23×C71—21no—
569C23×C71—21no—
570C23×C71—21no—
571C23×C71—21no—
572C23×C71—21no—
573C23×C71—21no—
574C23×C71—21no—
575C23×C71—21no—
576C23×C71C2511yescharacteristic
577C22×D71—21no—
578C22×D71—21no—
579C22×D71—21no—
580C22×D71—21no—
581C22×D71—21no—
582C22×D71—21no—
583C22×D71—21no—
584C22×D71—21no—
585C22×D71—21no—
586C22×D71—21no—
587C22×D71—21no—
588C22×D71—21no—
589C22×D71—21no—
590C22×D71—21no—
591C22×D71—44no—
592C22×D71—44no—
593C22×D71—44no—
594C22×D71—44no—
595C22×D71—44no—
596C22×D71—44no—
597C22×D71—44no—
598C22×D71—44no—
599C22×D71—44no—
600C22×D71—44no—
601C22×D71—44no—
602C22×D71—44no—
603C22×D71—44no—
604C22×D71—44no—
605C22×D71C2×#4112yes—
606C22×D71C2×#4112yes—
607C22×D71C2×#4112yes—
608C22×D71H(5,𝔽2)12yes—
609C22×D71H(5,𝔽2)12yes—
610C22×D71H(5,𝔽2)12yes—
611C22×D712−1+412yes—
612D4×C71—44no—
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×C71—21no—
630C2×C4×C71—21no—
631C2×C4×C71—21no—
632C2×C4×C71—21no—
633C2×C4×C71—21no—
634C2×C4×C71—21no—
635C2×C4×C71—21no—
636C2×C4×C71—21no—
637C2×C4×C71—21no—
638C2×C4×C71—21no—
639C2×C4×C71—21no—
640C2×C4×C71—21no—
641C2×C4×C71—21no—
642C2×C4×C71—21no—
643C2×C4×C71—21no—
644C2×C4×C71—21no—
645C2×C4×C71—21no—
646C2×C4×C71—21no—
647C2×C4×C71—21no—
648C2×C4×C71—21no—
649C2×C4×C71C2×#4112yes—
650C2×C4×C71C2×#4112yes—
651C2×C4×C71C2×#4112yes—
652C22⋊D71—44no—
653C22⋊D71—44no—
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×Dic71—21no—
672C2×Dic71—21no—
673C2×Dic71—21no—
674C2×Dic71—21no—
675C2×Dic71—21no—
676C2×Dic71—21no—
677C2×Dic71—21no—
678C2×Dic71—21no—
679C2×Dic71—21no—
680C2×Dic71—21no—
681C2×Dic71—21no—
682C2×Dic71—21no—
683C2×Dic71—21no—
684C2×Dic71—21no—
685C2×Dic71—21no—
686C2×Dic71—21no—
687C2×Dic71—21no—
688C2×Dic71—21no—
689C2×Dic71—21no—
690C2×Dic71C2×#4112yes—
691C2×Dic71C2×#4112yes—
692C2×Dic71C2×#4112yes—
693D284—44no—
694C4×D71—28no—
695C4×D71—28no—
696C4×D71—28no—
697C4×D71—44no—
698C4×D71—44no—
699C4×D71—44no—
700C4×D71—44no—
701C4×D71—44no—
702C4×D71—44no—
703C4×D71—44no—
704C4×D71—44no—
705C4×D71—44no—
706C4×D71—44no—
707C22×C71—41no—
708C22×C71—41no—
709C22×C71—41no—
710C22×C71—41no—
711C22×C71—41no—
712C22×C71—41no—
713C22×C71—41no—
714C22×C71—41no—
715C22×C71—41no—
716C22×C71—41no—
717C22×C71—41no—
718C22×C71—41no—
719C22×C71—41no—
720C22×C71—41no—
721C22×C71C22×#4111yescharacteristic
722C22×C71C22×#4111yescharacteristic
723C22×C71C22×#4111yescharacteristic
724C22×C71C2×H(5,𝔽2)11yescharacteristic
725C22×C71C2×H(5,𝔽2)11yescharacteristic
726C22×C71C2×H(5,𝔽2)11yescharacteristic
727C22×C71C2×2−1+411yescharacteristic
728C2×D71—41no—
729C2×D71—41no—
730C2×D71—41no—
731C2×D71—41no—
732C2×D71—41no—
733C2×D71—41no—
734C2×D71—41no—
735C2×D71—41no—
736C2×D71—41no—
737C2×D71—41no—
738C2×D71—41no—
739C2×D71—41no—
740C2×D71—41no—
741C2×D71—41no—
742C2×D71—88no—
743C2×D71—88no—
744C2×D71#52914yes—
745C2×D71#53814yes—
746C2×D71#53914yes—
747C2×D71#54014yes—
748C2×D71#54014yes—
749C2×D71#54214yes—
750C2×D71#54214yes—
751C4×C71—22no—
752C4×C71—22no—
753C4×C71—22no—
754C4×C71—41no—
755C4×C71—41no—
756C4×C71—41no—
757C4×C71—41no—
758C4×C71—41no—
759C4×C71—41no—
760C4×C71—41no—
761C4×C71—41no—
762C4×C71—41no—
763C4×C71—41no—
764Dic71—22no—
765Dic71—22no—
766Dic71—22no—
767Dic71—41no—
768Dic71—41no—
769Dic71—41no—
770Dic71—41no—
771Dic71—41no—
772Dic71—41no—
773Dic71—41no—
774Dic71—41no—
775Dic71—41no—
776Dic71—41no—
777C2×#2651—711nomaximal, Sylow
778C2×C71—81no—
779C2×C71—81no—
780C2×C71C2×#52911yescharacteristic
781C2×C71C2×#53811yescharacteristic
782C2×C71C2×#53911yescharacteristic
783C2×C71C2×#54011yescharacteristic
784C2×C71C2×#54011yescharacteristic
785C2×C71C2×#54211yescharacteristic
786C2×C71C2×#54211yescharacteristic
787D71—81no—
788D71—81no—
789D71#265118yesdirect product factor
790#2651—711no—
791#2651—711no—
792#2651—711no—
793#2651—711no—
794#2651—711no—
795#2651—711no—
796#2651—711no—
797#2651—711no—
798#2651—711no—
799#2651—711no—
800#2651—711no—
801#2651—711no—
802#2651—711no—
803#2651—711no—
804#2651—711no—
805#2651D7111yescharacteristic, direct product factor
806C2×#399—711no—
807C2×#398—711no—
808C2×#398—711no—
809C2×#397—711no—
810C2×#397—711no—
811C2×#396—711no—
812C2×#394—711no—
813C2×#394—711no—
814C2×#390—711no—
815C2×#388—711no—
816C2×#388—711no—
817C2×#388—711no—
818C2×#388—711no—
819C2×#387—711no—
820C2×C4×C4⋊C4—711no—
821C71C2×#265111yescharacteristic, complemented, Sylow
822C23×D4—711no—
823C22×C4⋊C4—711no—
824C22×C4⋊C4—711no—
825C22×C4⋊C4—711no—
826C22×C4⋊C4—711no—
827C22×C4⋊C4—711no—
828C22×C4⋊C4—711no—
829C22×C4⋊C4—711no—
830C22×C4⋊C4—711no—
831C22×C4⋊C4—711no—
832C22×C22⋊C4—711no—
833C22×C22⋊C4—711no—
834C22×C22⋊C4—711no—
835C22×C22⋊C4—711no—
836C22×C22⋊C4—711no—
837C22×C22⋊C4—711no—
838C22×C22⋊C4—711no—
839C22×C22⋊C4—711no—
840C22×C22⋊C4—711no—
841C22×C22⋊C4—711no—
842C22×C22⋊C4—711no—
843C22×C22⋊C4—711no—
844C22×C42—711no—
845C22×C42—711no—
846C22×C42—711no—
847#399—711no—
848#399—711no—
849#399—711no—
850#399—711no—
851#399—711no—
852#399—711no—
853#399—711no—
854#399C2×D7111yescharacteristic, complemented
855#398—711no—
856#398—711no—
857#398—711no—
858#398—711no—
859#398—711no—
860#398—711no—
861#398—711no—
862#398—711no—
863#398—711no—
864#398—711no—
865#398—711no—
866#398—711no—
867#398—711no—
868#398—711no—
869#398C2×D7111yescharacteristic, complemented
870#398C2×D7111yescharacteristic, complemented
871#397—711no—
872#397—711no—
873#397—711no—
874#397—711no—
875#397—711no—
876#397—711no—
877#397—711no—
878#397—711no—
879#397—711no—
880#397—711no—
881#397—711no—
882#397—711no—
883#397—711no—
884#397—711no—
885#397C2×D7111yescharacteristic, complemented
886#397C2×D7111yescharacteristic, complemented
887#396—711no—
888#396—711no—
889#396—711no—
890#396—711no—
891#396—711no—
892#396—711no—
893#396—711no—
894#396C2×D7111yescharacteristic, complemented
895#394—711no—
896#394—711no—
897#394—711no—
898#394—711no—
899#394—711no—
900#394—711no—
901#394—711no—
902#394—711no—
903#394—711no—
904#394—711no—
905#394—711no—
906#394—711no—
907#394—711no—
908#394—711no—
909#394C2×D7111yescharacteristic
910#394C2×D7111yescharacteristic
911#390—711no—
912#390—711no—
913#390—711no—
914#390—711no—
915#390—711no—
916#390—711no—
917#390—711no—
918#390C2×D7111yescharacteristic
919#388—711no—
920#388—711no—
921#388—711no—
922#388—711no—
923#388—711no—
924#388—711no—
925#388—711no—
926#388—711no—
927#388—711no—
928#388—711no—
929#388—711no—
930#388—711no—
931#388—711no—
932#388—711no—
933#388—711no—
934#388—711no—
935#388—711no—
936#388—711no—
937#388—711no—
938#388—711no—
939#388—711no—
940#388—711no—
941#388—711no—
942#388—711no—
943#388—711no—
944#388—711no—
945#388—711no—
946#388—711no—
947#388C2×D7111yescharacteristic, complemented
948#388C2×D7111yescharacteristic, complemented
949#388C2×D7111yescharacteristic, complemented
950#388C2×D7111yescharacteristic, complemented
951#387—711no—
952#387—711no—
953#387—711no—
954#387—711no—
955#387—711no—
956#387—711no—
957#387—711no—
958#387C2×D7111yescharacteristic, complemented
959C4×C4⋊C4—711no—
960C4×C4⋊C4—711no—
961C4×C4⋊C4—711no—
962C4×C4⋊C4—711no—
963C4×C4⋊C4—711no—
964C4×C4⋊C4—711no—
965C4×C4⋊C4—711no—
966C4×C4⋊C4C2×D7111yescharacteristic, complemented
967C2×#95—711no—
968C2×#95—711no—
969C2×#95—711no—
970C2×#95—711no—
971C2×#95—711no—
972C2×#95—711no—
973C2×#95—711no—
974C2×#95—711no—
975C2×#95—711no—
976C2×#95—711no—
977C25—711no—
978C25—711no—
979C22×D4—2842no—
980C22×D4—2842no—
981C22×D4—711no—
982C22×D4—711no—
983C22×D4—711no—
984C22×D4—1424no—
985C22×D4C22×D7111yescharacteristic
986C23×C4—711no—
987C23×C4—711no—
988C23×C4—711no—
989C23×C4—711no—
990C23×C4—711no—
991C23×C4—711no—
992C23×C4—711no—
993C23×C4—711no—
994C23×C4—711no—
995C23×C4—711no—
996C23×C4—711no—
997C23×C4—711no—
998C23×C4—711no—
999C2×C4⋊C4—2842no—
1000C2×C4⋊C4—2842no—
1001C2×C4⋊C4—2842no—
1002C2×C4⋊C4—2842no—
1003C2×C4⋊C4—2842no—
1004C2×C4⋊C4—2842no—
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—711no—
1021C2×C4⋊C4—711no—
1022C2×C4⋊C4—711no—
1023C2×C4⋊C4—711no—
1024C2×C4⋊C4—711no—
1025C2×C4⋊C4—711no—
1026C2×C4⋊C4—711no—
1027C2×C4⋊C4—711no—
1028C2×C4⋊C4—711no—
1029C2×C4⋊C4—711no—
1030C2×C4⋊C4—711no—
1031C2×C4⋊C4—711no—
1032C2×C4⋊C4—1424no—
1033C2×C4⋊C4—1424no—
1034C2×C4⋊C4—1424no—
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×C22⋊C4—2842no—
1045C2×C22⋊C4—2842no—
1046C2×C22⋊C4—2842no—
1047C2×C22⋊C4—2842no—
1048C2×C22⋊C4—2842no—
1049C2×C22⋊C4—2842no—
1050C2×C22⋊C4—2842no—
1051C2×C22⋊C4—2842no—
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—711no—
1067C2×C22⋊C4—711no—
1068C2×C22⋊C4—711no—
1069C2×C22⋊C4—711no—
1070C2×C22⋊C4—711no—
1071C2×C22⋊C4—711no—
1072C2×C22⋊C4—711no—
1073C2×C22⋊C4—711no—
1074C2×C22⋊C4—711no—
1075C2×C22⋊C4—711no—
1076C2×C22⋊C4—711no—
1077C2×C22⋊C4—711no—
1078C2×C22⋊C4—711no—
1079C2×C22⋊C4—711no—
1080C2×C22⋊C4—711no—
1081C2×C22⋊C4—711no—
1082C2×C22⋊C4—711no—
1083C2×C22⋊C4—711no—
1084C2×C22⋊C4—711no—
1085C2×C22⋊C4—711no—
1086C2×C22⋊C4—711no—
1087C2×C22⋊C4—711no—
1088C2×C22⋊C4—1424no—
1089C2×C22⋊C4—1424no—
1090C2×C22⋊C4—1424no—
1091C2×C22⋊C4—1424no—
1092C2×C22⋊C4C22×D7111yescharacteristic
1093C2×C22⋊C4C22×D7111yescharacteristic
1094C2×C22⋊C4C22×D7111yescharacteristic
1095C2×C22⋊C4C22×D7111yescharacteristic
1096C2×C22⋊C4C22×D7111yescharacteristic
1097C2×C22⋊C4C22×D7111yescharacteristic
1098C2×C22⋊C4C22×D7111yescharacteristic
1099C2×C22⋊C4C22×D7111yescharacteristic
1100C2×C22⋊C4C22×D7111yescharacteristic
1101C2×C22⋊C4C22×D7111yescharacteristic
1102C2×C22⋊C4C22×D7111yescharacteristic
1103C2×C22⋊C4C22×D7111yescharacteristic
1104C2×C42—2842no—
1105C2×C42—2842no—
1106C2×C42—711no—
1107C2×C42—711no—
1108C2×C42—711no—
1109C2×C42—711no—
1110C2×C42—711no—
1111C2×C42—711no—
1112C2×C42—711no—
1113C2×C42—711no—
1114C2×C42—711no—
1115C2×C42—1424no—
1116C2×C42C22×D7111yescharacteristic
1117C2×C42C22×D7111yescharacteristic
1118C2×C42C22×D7111yescharacteristic
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#95—711no—
1136#95—711no—
1137#95—711no—
1138#95—711no—
1139#95—711no—
1140#95—711no—
1141#95—711no—
1142#95—711no—
1143#95—711no—
1144#95—711no—
1145#95—711no—
1146#95—711no—
1147#95—711no—
1148#95—711no—
1149#95C22×D7111yescharacteristic
1150#95C22×D7111yescharacteristic
1151#95C22×D7111yescharacteristic
1152#95C22×D7111yescharacteristic
1153#95C22×D7111yescharacteristic
1154#95C22×D7111yescharacteristic
1155#95C22×D7111yescharacteristic
1156#95C22×D7111yescharacteristic
1157#95C22×D7111yescharacteristic
1158#95C22×D7111yescharacteristic
1159C24—711no—
1160C24—711no—
1161C24—711no—
1162C24—1422no—
1163C24—1422no—
1164C24—1422no—
1165C24—1422no—
1166C24—1422no—
1167C24—1422no—
1168C24—1422no—
1169C24—1422no—
1170C24—1422no—
1171C24—1422no—
1172C24—1422no—
1173C24—1422no—
1174C24—1422no—
1175C24—1422no—
1176C24C23×D7111yescharacteristic
1177C24C23×D7111yescharacteristic
1178C2×D4—22no—
1179C2×D4—41no—
1180C2×D4—41no—
1181C2×D4—2841no—
1182C2×D4—2841no—
1183C2×D4—28416no—
1184C2×D4—2841no—
1185C2×D4—2841no—
1186C2×D4—2841no—
1187C2×D4—2841no—
1188C2×D4—1422no—
1189C2×D4—1422no—
1190C2×D4—1422no—
1191C22×C4—711no—
1192C22×C4—711no—
1193C22×C4—711no—
1194C22×C4—714no—
1195C22×C4—714no—
1196C22×C4—714no—
1197C22×C4—711no—
1198C22×C4—711no—
1199C22×C4—711no—
1200C22×C4—711no—
1201C22×C4—711no—
1202C22×C4—711no—
1203C22×C4—711no—
1204C22×C4—711no—
1205C22×C4—711no—
1206C22×C4—711no—
1207C22×C4—1422no—
1208C22×C4—1422no—
1209C22×C4—1422no—
1210C22×C4—1422no—
1211C22×C4—1422no—
1212C22×C4—1422no—
1213C22×C4—1422no—
1214C22×C4—1422no—
1215C22×C4—1422no—
1216C22×C4—1422no—
1217C22×C4—1422no—
1218C22×C4—1422no—
1219C22×C4—1422no—
1220C22×C4—1422no—
1221C22×C4—1422no—
1222C22×C4—1422no—
1223C22×C4—1422no—
1224C22×C4—1422no—
1225C22×C4—1422no—
1226C22×C4—1422no—
1227C22×C4—1422no—
1228C22×C4—1422no—
1229C22×C4—1422no—
1230C22×C4—1422no—
1231C22×C4—1422no—
1232C22×C4—1422no—
1233C22×C4—1422no—
1234C22×C4—1422no—
1235C22×C4—1422no—
1236C22×C4—1422no—
1237C22×C4—1422no—
1238C22×C4—1422no—
1239C22×C4—1422no—
1240C22×C4—1422no—
1241C22×C4—1422no—
1242C22×C4—1422no—
1243C22×C4C23×D7111yescharacteristic
1244C22×C4C23×D7111yescharacteristic
1245C22×C4C23×D7111yescharacteristic
1246C22×C4C23×D7111yescharacteristic
1247C22×C4C23×D7111yescharacteristic
1248C22×C4C23×D7111yescharacteristic
1249C22×C4C23×D7111yescharacteristic
1250C22×C4C23×D7111yescharacteristic
1251C22×C4C23×D7111yescharacteristic
1252C22×C4C23×D7111yescharacteristic
1253C22×C4C23×D7111yescharacteristic
1254C22×C4C23×D7111yescharacteristic
1255C22×C4C23×D7111yescharacteristic
1256C4⋊C4—22no—
1257C4⋊C4—22no—
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—2841no—
1266C4⋊C4—2841no—
1267C4⋊C4—2841no—
1268C4⋊C4—2841no—
1269C4⋊C4—2841no—
1270C4⋊C4—2841no—
1271C4⋊C4—2841no—
1272C4⋊C4—2841no—
1273C4⋊C4—2841no—
1274C4⋊C4—2841no—
1275C4⋊C4—2841no—
1276C4⋊C4—2841no—
1277C4⋊C4—2841no—
1278C4⋊C4—2841no—
1279C4⋊C4—2841no—
1280C4⋊C4—2841no—
1281C4⋊C4—2841no—
1282C4⋊C4—2841no—
1283C4⋊C4—1422no—
1284C4⋊C4—1422no—
1285C4⋊C4—1422no—
1286C4⋊C4—1422no—
1287C4⋊C4—1422no—
1288C4⋊C4—1422no—
1289C4⋊C4—1422no—
1290C4⋊C4—1422no—
1291C4⋊C4—1422no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—22no—
1295C22⋊C4—22no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—2841no—
1305C22⋊C4—2841no—
1306C22⋊C4—2841no—
1307C22⋊C4—2841no—
1308C22⋊C4—2841no—
1309C22⋊C4—2841no—
1310C22⋊C4—2841no—
1311C22⋊C4—2841no—
1312C22⋊C4—2841no—
1313C22⋊C4—2841no—
1314C22⋊C4—2841no—
1315C22⋊C4—2841no—
1316C22⋊C4—2841no—
1317C22⋊C4—2841no—
1318C22⋊C4—2841no—
1319C22⋊C4—2841no—
1320C22⋊C4—2841no—
1321C22⋊C4—2841no—
1322C22⋊C4—2841no—
1323C22⋊C4—2841no—
1324C22⋊C4—2841no—
1325C22⋊C4—2841no—
1326C22⋊C4—2841no—
1327C22⋊C4—2841no—
1328C22⋊C4—1422no—
1329C22⋊C4—1422no—
1330C22⋊C4—1422no—
1331C22⋊C4—1422no—
1332C22⋊C4—1422no—
1333C22⋊C4—1422no—
1334C22⋊C4—1422no—
1335C22⋊C4—1422no—
1336C22⋊C4—1422no—
1337C22⋊C4—1422no—
1338C22⋊C4—1422no—
1339C22⋊C4—1422no—
1340C42—22no—
1341C42—41no—
1342C42—41no—
1343C42—2841no—
1344C42—2841no—
1345C42—2841no—
1346C42—2841no—
1347C42—2841no—
1348C42—2841no—
1349C42—1422no—
1350C42—1422no—
1351C42—1422no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—2844no—
1367C23—2844no—
1368C23—2844no—
1369C23—2844no—
1370C23—2844no—
1371C23—2844no—
1372C23—2844no—
1373C23—2844no—
1374C23—2844no—
1375C23—2844no—
1376C23—2844no—
1377C23—2844no—
1378C23—2844no—
1379C23—2844no—
1380C23—712no—
1381C23—712no—
1382C23—712no—
1383C23—712no—
1384C23—712no—
1385C23—712no—
1386C23—712no—
1387C23—1421no—
1388C23—1421no—
1389C23—1421no—
1390C23—1421no—
1391C23—1421no—
1392C23—1421no—
1393C23—1421no—
1394C23—1421no—
1395C23—1421no—
1396C23—1421no—
1397C23—1421no—
1398C23—1421no—
1399C23—1421no—
1400C23—1421no—
1401C23C24×D7111yescharacteristic
1402D4—44no—
1403D4—2844no—
1404D4—2844no—
1405D4—2844no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—2844no—
1443C2×C4—2844no—
1444C2×C4—2844no—
1445C2×C4—2844no—
1446C2×C4—2844no—
1447C2×C4—2844no—
1448C2×C4—2844no—
1449C2×C4—2844no—
1450C2×C4—2844no—
1451C2×C4—2844no—
1452C2×C4—712no—
1453C2×C4—712no—
1454C2×C4—712no—
1455C2×C4—1428no—
1456C2×C4—1428no—
1457C2×C4—1428no—
1458C2×C4—1421no—
1459C2×C4—1421no—
1460C2×C4—1421no—
1461C2×C4—1421no—
1462C2×C4—1421no—
1463C2×C4—1421no—
1464C2×C4—1421no—
1465C2×C4—1421no—
1466C2×C4—1421no—
1467C2×C4—1421no—
1468C2×C4—1421no—
1469C2×C4—1421no—
1470C2×C4—1421no—
1471C2×C4—1421no—
1472C2×C4—1421no—
1473C2×C4—1421no—
1474C2×C4—1421no—
1475C2×C4—1421no—
1476C2×C4—1421no—
1477C2×C4—1421no—
1478C2×C4—1421no—
1479C2×C4—1421no—
1480C2×C4—1421no—
1481C2×C4—1421no—
1482C2×C4—1421no—
1483C2×C4—1421no—
1484C2×C4—1421no—
1485C2×C4—1421no—
1486C2×C4—1421no—
1487C2×C4—1421no—
1488C2×C4—1421no—
1489C2×C4—1421no—
1490C2×C4—1421no—
1491C2×C4—1421no—
1492C2×C4—1421no—
1493C2×C4—1421no—
1494C2×C4#41×D7112yes—
1495C2×C4#41×D7112yes—
1496C2×C4#41×D7112yes—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—2841no—
1512C22—2841no—
1513C22—2841no—
1514C22—2841no—
1515C22—2841no—
1516C22—2841no—
1517C22—2841no—
1518C22—2841no—
1519C22—2841no—
1520C22—2841no—
1521C22—2841no—
1522C22—2841no—
1523C22—2841no—
1524C22—2841no—
1525C22—5688no—
1526C22—5688no—
1527C22—714no—
1528C22—714no—
1529C22—714no—
1530C22—714no—
1531C22—714no—
1532C22—714no—
1533C22—714no—
1534C22C2×#41×D7111yescharacteristic
1535C22C2×#41×D7111yescharacteristic
1536C22C2×#41×D7111yescharacteristic
1537C22H(5,𝔽2)×D7111yescharacteristic
1538C22H(5,𝔽2)×D7111yescharacteristic
1539C22H(5,𝔽2)×D7111yescharacteristic
1540C222−1+4×D7111yescharacteristic
1541C4—22no—
1542C4—22no—
1543C4—22no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—2841no—
1555C4—2841no—
1556C4—2841no—
1557C4—2841no—
1558C4—2841no—
1559C4—2841no—
1560C4—2841no—
1561C4—2841no—
1562C4—2841no—
1563C4—2841no—
1564C4—1422no—
1565C4—1422no—
1566C4—1422no—
1567C2—81no—
1568C2—81no—
1569C2—5681no—
1570C2—5681no—
1571C2—718no—
1572C2#529×D7111yescharacteristic
1573C2#538×D7111yescharacteristic
1574C2#539×D7111yescharacteristic
1575C2#540×D7111yescharacteristic
1576C2#540×D7111yescharacteristic
1577C2#542×D7111yescharacteristic
1578C2#542×D7111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D71
commutator, socle, cosocleC23×C71C25
FittingC71×#2651C2
prime radicalC22×D4×D71C22
hypercenter#2651D71
hypocenterC71C2×#2651
LCSG ▷ C23×C71 ▷ C71
UCSC1 ◁ C23 ◁ #2651

Complements

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

NH ≅ G/Ntype
1. #22594380C2semidirect
2. #22594379C2semidirect
3. #22594378C2semidirect
4. #22594377C2semidirect
5. #22594376C2semidirect
6. #22594375C2semidirect
7. #22594374C2semidirect
8. #22594373C2semidirect
9. #22594372C2semidirect
10. #22594371C2semidirect
11. #22594370C2semidirect
12. #22594369C2semidirect
13. #22594368C2semidirect
14. #22594367C2semidirect
15. #22594366C2semidirect
16. #399×D71C2semidirect
17. #398×D71C2semidirect
18. #398×D71C2semidirect
19. #397×D71C2semidirect
20. #397×D71C2semidirect
21. #396×D71C2semidirect
25. #388×D71C2semidirect
26. #388×D71C2semidirect
27. #388×D71C2semidirect
28. #388×D71C2semidirect
29. #387×D71C2semidirect
30. C4×C4⋊C4×D71C2semidirect
31. C71×#2651C2semidirect
57. #17985936C22semidirect
58. #17985935C22semidirect
59. #17985935C22semidirect
60. #17985935C22semidirect
61. #17985934C22semidirect
62. #17985934C22semidirect
63. #17985934C22semidirect
64. #17985933C22semidirect
65. #17985933C22semidirect
66. #17985933C22semidirect
67. #17985933C22semidirect
68. #17985932C22semidirect
69. #17985932C22semidirect
70. #17985932C22semidirect
71. #17985932C22semidirect
72. #17985931C22semidirect
73. #17985931C22semidirect
74. #17985930C22semidirect
75. #17985930C22semidirect
76. #17985929C22semidirect
77. #17985929C22semidirect
78. #17985928C22semidirect
79. #17985928C22semidirect
80. #17985928C22semidirect
81. #17985928C22semidirect
82. #17985927C22semidirect
83. #17985927C22semidirect
84. #17985927C22semidirect
85. #17985927C22semidirect
86. #17985926C22semidirect
87. #17985926C22semidirect
88. #17985925C22semidirect
89. #17985925C22semidirect
90. #17985924C22semidirect
91. #17985924C22semidirect
92. #17985923C22semidirect
93. #17985922C22semidirect
94. #17985922C22semidirect
95. #17985922C22semidirect
96. #17985921C22semidirect
97. #17985921C22semidirect
98. #17985921C22semidirect
120. #17985893C22semidirect
121. #17985893C22semidirect
122. #17985893C22semidirect
123. #17985893C22semidirect
124. #17985892C22semidirect
125. #17985892C22semidirect
126. #17985892C22semidirect
127. #17985892C22semidirect
128. #17985891C22semidirect
129. #17985891C22semidirect
130. #17985891C22semidirect
131. #17985891C22semidirect
132. #17985890C22semidirect
133. #17985890C22semidirect
134. #17985890C22semidirect
135. #17985890C22semidirect
136. #17985889C22semidirect
137. #17985889C22semidirect
138. #17985889C22semidirect
139. #17985889C22semidirect
140. #17985888C22semidirect
141. #17985888C22semidirect
142. #17985888C22semidirect
143. #17985888C22semidirect
144. #17985887C22semidirect
145. #17985887C22semidirect
146. #17985887C22semidirect
147. #17985887C22semidirect
148. #17985886C22semidirect
149. #17985885C22semidirect
150. #17985884C22semidirect
151. #17985883C22semidirect
152. #17985882C22semidirect
153. #17985881C22semidirect
154. #17985880C22semidirect
155. C4⋊C4×Dic71C22semidirect
156. C4⋊C4×Dic71C22semidirect
157. C4×Dic71⋊C4C22semidirect
158. C4×Dic71⋊C4C22semidirect
159. C4×C4⋊Dic71C22semidirect
160. #17985850C22semidirect
161. #17985850C22semidirect
172. #399×C71C22semidirect
173. #398×C71C22semidirect
174. #398×C71C22semidirect
175. #397×C71C22semidirect
176. #397×C71C22semidirect
177. #396×C71C22semidirect
181. #388×C71C22semidirect
182. #388×C71C22semidirect
183. #388×C71C22semidirect
184. #388×C71C22semidirect
185. #387×C71C22semidirect
186. C4×C4⋊C4×C71C22semidirect
789. D71#2651direct (N × H)
805. #2651D71direct (N × H)
821. C71C2×#2651semidirect
854. #399C2×D71semidirect
869. #398C2×D71semidirect
870. #398C2×D71semidirect
885. #397C2×D71semidirect
886. #397C2×D71semidirect
894. #396C2×D71semidirect
947. #388C2×D71semidirect
948. #388C2×D71semidirect
949. #388C2×D71semidirect
950. #388C2×D71semidirect
958. #387C2×D71semidirect
966. C4×C4⋊C4C2×D71semidirect

Maximal subgroups

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

subgroupindex
#225943802
#225943792
#225943782
#225943772
#225943762
#225943752
#225943742
#225943732
#225943722
#225943712
#225943702
#225943692
#225943682
#225943672
#225943662
#399×D712
#398×D712
#397×D712
#396×D712
#394×D712
#390×D712
#388×D712
#387×D712
C4×C4⋊C4×D712
C71×#26512
C2×#265171