Finite Group Databasebeta

← C71×#36775 #31857647

Subgroups — C71×#36775 #31857647

Order 18176.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#2849C211yesmaximal, characteristic, complemented
2C71×#2848C211yesmaximal, characteristic, complemented
3C71×#2782C211yesmaximal, characteristic, complemented
4C71×#2750C211yesmaximal, characteristic, complemented
5C71×#2746C211yesmaximal, characteristic, complemented
6C71×#2746C211yesmaximal, characteristic, complemented
7C71×#2743C211yesmaximal, characteristic, complemented
8C71×#2728C211yesmaximal, characteristic, complemented
9C71×#2708C211yesmaximal, characteristic, complemented
10C71×#2708C211yesmaximal, characteristic, complemented
11C71×#2706C211yesmaximal, characteristic, complemented
12C71×#2696C211yesmaximal, characteristic, complemented
13C71×#2695C211yesmaximal, characteristic, complemented
14C71×#2693C211yesmaximal, characteristic, complemented
15C71×#2693C211yesmaximal, characteristic, complemented
16C71×#2691C211yesmaximal, characteristic, complemented
17C71×#2687C211yesmaximal, characteristic, complemented
18C71×#2681C211yesmaximal, characteristic, complemented
19C71×#2646C211yesmaximal, characteristic, complemented
20C71×#2643C211yesmaximal, characteristic, complemented
21C71×#2505C211yesmaximal, characteristic, complemented
22C71×#2480C211yesmaximal, characteristic, complemented
23C71×#2450C211yesmaximal, characteristic, complemented
24C71×#2437C211yesmaximal, characteristic, complemented
25C71×#2418C211yesmaximal, characteristic, complemented
26C71×#2412C211yesmaximal, characteristic, complemented
27C71×#2410C211yesmaximal, characteristic
28C71×#2405C211yesmaximal, characteristic, complemented
29C71×#2321C211yesmaximal, characteristic, complemented
30C71×#2315C211yesmaximal, characteristic, complemented
31C2×#386×C71C211yesmaximal, characteristic, complemented
32C23×D4×C71C2211yescharacteristic
33C24×C4×C71C2211yescharacteristic
34C2×#126×C71C2211yescharacteristic, complemented
35C2×#123×C71C2211yescharacteristic
36C2×#123×C71C2211yescharacteristic
37C2×#123×C71C2211yescharacteristic, complemented
38C2×#123×C71C2211yescharacteristic, complemented
39C2×#123×C71C2211yescharacteristic, complemented
40C2×#123×C71C2211yescharacteristic, complemented
41C2×C22⋊Q8×C71C2211yescharacteristic
42C2×C22⋊Q8×C71C2211yescharacteristic, complemented
43C2×C22⋊Q8×C71C2211yescharacteristic, complemented
44C2×C22⋊Q8×C71C2211yescharacteristic, complemented
45C2×#121×C71C2211yescharacteristic
46C2×#121×C71C2211yescharacteristic
47C2×#120×C71C2211yescharacteristic
48C2×#120×C71C2211yescharacteristic
49C2×C4×D4×C71C2211yescharacteristic
50C22×C22⋊C4×C71C2211yescharacteristic
51C22×C22⋊C4×C71C2211yescharacteristic
52C22×C22⋊C4×C71C2211yescharacteristic
53C22×C22⋊C4×C71C2211yescharacteristic
54C22×C22⋊C4×C71C2211yescharacteristic
55#401×C71C2211yescharacteristic, complemented
56#400×C71C2211yescharacteristic, complemented
57#400×C71C2211yescharacteristic, complemented
58#400×C71C2211yescharacteristic, complemented
59#400×C71C2211yescharacteristic, complemented
60#400×C71C2211yescharacteristic, complemented
61#400×C71C2211yescharacteristic, complemented
62#400×C71C2211yescharacteristic, complemented
63#400×C71C2211yescharacteristic, complemented
64#400×C71C2211yescharacteristic, complemented
65#400×C71C2211yescharacteristic, complemented
66#400×C71C2211yescharacteristic, complemented
67#399×C71C2211yescharacteristic, complemented
68#399×C71C2211yescharacteristic, complemented
69#398×C71C2211yescharacteristic, complemented
70#398×C71C2211yescharacteristic, complemented
71#398×C71C2211yescharacteristic, complemented
72#398×C71C2211yescharacteristic, complemented
73#398×C71C2211yescharacteristic, complemented
74#398×C71C2211yescharacteristic, complemented
75#397×C71C2211yescharacteristic, complemented
76#397×C71C2211yescharacteristic, complemented
77#397×C71C2211yescharacteristic, complemented
78#397×C71C2211yescharacteristic, complemented
79#397×C71C2211yescharacteristic, complemented
80#397×C71C2211yescharacteristic, complemented
81#397×C71C2211yescharacteristic, complemented
82#397×C71C2211yescharacteristic, complemented
83#397×C71C2211yescharacteristic, complemented
84#396×C71C2211yescharacteristic, complemented
85#396×C71C2211yescharacteristic, complemented
86#396×C71C2211yescharacteristic, complemented
87#396×C71C2211yescharacteristic, complemented
88#396×C71C2211yescharacteristic, complemented
89#394×C71C2211yescharacteristic
90#394×C71C2211yescharacteristic
91#394×C71C2211yescharacteristic
92#394×C71C2211yescharacteristic
93#394×C71C2211yescharacteristic
94#394×C71C2211yescharacteristic
95#394×C71C2211yescharacteristic, complemented
96#394×C71C2211yescharacteristic, complemented
97#394×C71C2211yescharacteristic, complemented
98#394×C71C2211yescharacteristic, complemented
99#393×C71C2211yescharacteristic, complemented
100#393×C71C2211yescharacteristic, complemented
101#392×C71C2211yescharacteristic
102#392×C71C2211yescharacteristic
103#391×C71C2211yescharacteristic, complemented
104#390×C71C2211yescharacteristic, complemented
105#390×C71C2211yescharacteristic, complemented
106#389×C71C2211yescharacteristic, complemented
107#388×C71C2211yescharacteristic, complemented
108#388×C71C2211yescharacteristic, complemented
109#388×C71C2211yescharacteristic, complemented
110#388×C71C2211yescharacteristic, complemented
111#388×C71C2211yescharacteristic, complemented
112#388×C71C2211yescharacteristic, complemented
113#388×C71C2211yescharacteristic, complemented
114#388×C71C2211yescharacteristic, complemented
115#388×C71C2211yescharacteristic, complemented
116#387×C71C2211yescharacteristic, complemented
117#387×C71C2211yescharacteristic, complemented
118#387×C71C2211yescharacteristic, complemented
119#386×C71C2211yescharacteristic
120#386×C71C2211yescharacteristic
121#386×C71C2211yescharacteristic
122#386×C71C2211yescharacteristic
123#386×C71C2211yescharacteristic
124#386×C71C2211yescharacteristic
125#386×C71C2211yescharacteristic
126#386×C71C2211yescharacteristic
127#386×C71C2211yescharacteristic
128#386×C71C2211yescharacteristic
129#386×C71C2211yescharacteristic
130#386×C71C2211yescharacteristic
131#386×C71C2211yescharacteristic
132#386×C71C2211yescharacteristic
133#386×C71C2211yescharacteristic
134#386×C71C2211yescharacteristic
135#386×C71C2211yescharacteristic, complemented
136#386×C71C2211yescharacteristic, complemented
137#386×C71C2211yescharacteristic, complemented
138#386×C71C2211yescharacteristic, complemented
139#386×C71C2211yescharacteristic, complemented
140#386×C71C2211yescharacteristic, complemented
141#385×C71C2211yescharacteristic
142#385×C71C2211yescharacteristic
143#385×C71C2211yescharacteristic
144#385×C71C2211yescharacteristic
145#385×C71C2211yescharacteristic
146#385×C71C2211yescharacteristic
147#385×C71C2211yescharacteristic
148#385×C71C2211yescharacteristic
149#385×C71C2211yescharacteristic
150#385×C71C2211yescharacteristic
151#385×C71C2211yescharacteristic, complemented
152#385×C71C2211yescharacteristic, complemented
153#385×C71C2211yescharacteristic, complemented
154#385×C71C2211yescharacteristic, complemented
155#385×C71C2211yescharacteristic, complemented
156#385×C71C2211yescharacteristic, complemented
157#385×C71C2211yescharacteristic, complemented
158#385×C71C2211yescharacteristic, complemented
159#385×C71C2211yescharacteristic, complemented
160#385×C71C2211yescharacteristic, complemented
161#385×C71C2211yescharacteristic, complemented
162#385×C71C2211yescharacteristic, complemented
163#385×C71C2211yescharacteristic, complemented
164#385×C71C2211yescharacteristic, complemented
165#382×C71C2211yescharacteristic, complemented
166#381×C71C2211yescharacteristic, complemented
167#381×C71C2211yescharacteristic, complemented
168#381×C71C2211yescharacteristic, complemented
169#380×C71C2211yescharacteristic
170#380×C71C2211yescharacteristic
171#380×C71C2211yescharacteristic
172#380×C71C2211yescharacteristic, complemented
173#380×C71C2211yescharacteristic, complemented
174#380×C71C2211yescharacteristic, complemented
175#380×C71C2211yescharacteristic, complemented
176#380×C71C2211yescharacteristic, complemented
177#380×C71C2211yescharacteristic, complemented
178#380×C71C2211yescharacteristic, complemented
179#380×C71C2211yescharacteristic, complemented
180#379×C71C2211yescharacteristic
181#379×C71C2211yescharacteristic
182#379×C71C2211yescharacteristic
183#379×C71C2211yescharacteristic
184C4×C22⋊C4×C71C2211yescharacteristic
185C2×#95×C71C2211yescharacteristic
186C2×#95×C71C2211yescharacteristic
187C25×C71C2311yescharacteristic
188C25×C71C2311yescharacteristic
189C22×Q8×C71C2311yescharacteristic
190C22×D4×C71—24no—
191C22×D4×C71—42no—
192C22×D4×C71—42no—
193C22×D4×C71C2311yescharacteristic
194C22×D4×C71C2311yescharacteristic
195C22×D4×C71C2311yescharacteristic
196C22×D4×C71C2311yescharacteristic
197C22×D4×C71C2311yescharacteristic
198C22×D4×C71C2311yescharacteristic
199C22×D4×C71C2311yescharacteristic
200C22×D4×C71C2311yescharacteristic
201C22×D4×C71C2311yescharacteristic
202C23×C4×C71—42no—
203C23×C4×C71—42no—
204C23×C4×C71—42no—
205C23×C4×C71C2311yescharacteristic
206C23×C4×C71C2311yescharacteristic
207C23×C4×C71C2311yescharacteristic
208C23×C4×C71C2311yescharacteristic
209C23×C4×C71C2311yescharacteristic
210C23×C4×C71C2311yescharacteristic
211C23×C4×C71C2311yescharacteristic
212C23×C4×C71C2311yescharacteristic
213C23×C4×C71C2311yescharacteristic
214C23×C4×C71C2311yescharacteristic
215C23×C4×C71C2311yescharacteristic
216C23×C4×C71C2311yescharacteristic
217C23×C4×C71C2311yescharacteristic
218C23×C4×C71C2311yescharacteristic
219#126×C71—42no—
220#123×C71—42no—
221#123×C71—42no—
222#123×C71—42no—
223#123×C71—42no—
224#123×C71—42no—
225#123×C71—42no—
226C22⋊Q8×C71—42no—
227C22⋊Q8×C71—42no—
228C22⋊Q8×C71—42no—
229C22⋊Q8×C71—42no—
230#121×C71—42no—
231#121×C71—42no—
232#120×C71—24no—
233#120×C71—42no—
234C4×D4×C71—42no—
235C2×C4⋊C4×C71C2311yescharacteristic
236C2×C4⋊C4×C71C2311yescharacteristic
237C2×C4⋊C4×C71C2311yescharacteristic
238C2×C4⋊C4×C71C2311yescharacteristic
239C2×C4⋊C4×C71C2311yescharacteristic
240C2×C4⋊C4×C71C2311yescharacteristic
241C2×C4⋊C4×C71C2311yescharacteristic
242C2×C4⋊C4×C71C2311yescharacteristic
243C2×C4⋊C4×C71C2311yescharacteristic
244C2×C4⋊C4×C71C2311yescharacteristic
245C2×C4⋊C4×C71C2311yescharacteristic
246C2×C4⋊C4×C71C2311yescharacteristic
247C2×C4⋊C4×C71C2311yescharacteristic
248C2×C4⋊C4×C71C2311yescharacteristic
249C2×C4⋊C4×C71C2311yescharacteristic
250C2×C4⋊C4×C71C2311yescharacteristic
251C2×C4⋊C4×C71C2311yescharacteristic
252C2×C4⋊C4×C71C2311yescharacteristic
253C2×C4⋊C4×C71C2311yescharacteristic
254C2×C4⋊C4×C71C2311yescharacteristic
255C2×C4⋊C4×C71C2311yescharacteristic
256C2×C4⋊C4×C71C2311yescharacteristic
257C2×C4⋊C4×C71C2311yescharacteristic
258C2×C4⋊C4×C71C2311yescharacteristic
259C2×C4⋊C4×C71C2311yescharacteristic
260C2×C4⋊C4×C71C2311yescharacteristic
261C2×C4⋊C4×C71C2311yescharacteristic
262C2×C4⋊C4×C71C2311yescharacteristic
263C2×C4⋊C4×C71C2311yescharacteristic
264C2×C4⋊C4×C71C2311yescharacteristic
265C2×C22⋊C4×C71—24no—
266C2×C22⋊C4×C71—42no—
267C2×C22⋊C4×C71—42no—
268C2×C22⋊C4×C71—42no—
269C2×C22⋊C4×C71—42no—
270C2×C22⋊C4×C71C2311yescharacteristic
271C2×C22⋊C4×C71C2311yescharacteristic
272C2×C22⋊C4×C71C2311yescharacteristic
273C2×C22⋊C4×C71C2311yescharacteristic
274C2×C22⋊C4×C71C2311yescharacteristic
275C2×C22⋊C4×C71C2311yescharacteristic
276C2×C22⋊C4×C71C2311yescharacteristic
277C2×C22⋊C4×C71C2311yescharacteristic
278C2×C22⋊C4×C71C2311yescharacteristic
279C2×C22⋊C4×C71C2311yescharacteristic
280C2×C22⋊C4×C71C2311yescharacteristic
281C2×C22⋊C4×C71C2311yescharacteristic
282C2×C22⋊C4×C71C2311yescharacteristic
283C2×C22⋊C4×C71C2311yescharacteristic
284C2×C22⋊C4×C71C2311yescharacteristic
285C2×C22⋊C4×C71C2311yescharacteristic
286C2×C22⋊C4×C71C2311yescharacteristic
287C2×C22⋊C4×C71C2311yescharacteristic
288C2×C22⋊C4×C71C2311yescharacteristic
289C2×C22⋊C4×C71C2311yescharacteristic
290C2×C22⋊C4×C71C2311yescharacteristic
291C2×C22⋊C4×C71C2311yescharacteristic
292C2×C22⋊C4×C71C2311yescharacteristic
293C2×C22⋊C4×C71C2311yescharacteristic
294C2×C22⋊C4×C71C2311yescharacteristic
295C2×C22⋊C4×C71C2311yescharacteristic
296C2×C22⋊C4×C71C2311yescharacteristic
297C2×C22⋊C4×C71C2311yescharacteristic
298C2×C22⋊C4×C71C2311yescharacteristic
299C2×C22⋊C4×C71C2311yescharacteristic
300C2×C22⋊C4×C71C2311yescharacteristic
301C2×C22⋊C4×C71C2311yescharacteristic
302C2×C22⋊C4×C71C2311yescharacteristic
303C2×C22⋊C4×C71C2311yescharacteristic
304C2×C22⋊C4×C71C2311yescharacteristic
305C2×C22⋊C4×C71C2311yescharacteristic
306C2×C22⋊C4×C71C2311yescharacteristic
307C2×C22⋊C4×C71C2311yescharacteristic
308C2×C22⋊C4×C71C2311yescharacteristic
309C2×C22⋊C4×C71C2311yescharacteristic
310C2×C22⋊C4×C71C2311yescharacteristic
311C2×C22⋊C4×C71C2311yescharacteristic
312C2×C22⋊C4×C71C2311yescharacteristic
313C2×C22⋊C4×C71C2311yescharacteristic
314C2×C22⋊C4×C71C2311yescharacteristic
315C2×C22⋊C4×C71C2311yescharacteristic
316C2×C22⋊C4×C71C2311yescharacteristic
317C2×C22⋊C4×C71C2311yescharacteristic
318C2×C22⋊C4×C71C2311yescharacteristic
319C2×C22⋊C4×C71C2311yescharacteristic
320C2×C22⋊C4×C71C2311yescharacteristic
321C2×C22⋊C4×C71C2311yescharacteristic
322C2×C42×C71C2311yescharacteristic
323C2×C42×C71C2311yescharacteristic
324C2×C42×C71C2311yescharacteristic
325#95×C71C2311yescharacteristic
326#95×C71C2311yescharacteristic
327#95×C71C2311yescharacteristic
328#95×C71C2311yescharacteristic
329#95×C71C2311yescharacteristic
330#95×C71C2311yescharacteristic
331#95×C71C2311yescharacteristic
332#95×C71C2311yescharacteristic
333#95×C71C2311yescharacteristic
334#95×C71C2311yescharacteristic
335#95×C71C2311yescharacteristic
336#95×C71C2311yescharacteristic
337#95×C71C2311yescharacteristic
338#95×C71C2311yescharacteristic
339#95×C71C2311yescharacteristic
340#95×C71C2311yescharacteristic
341#95×C71C2311yescharacteristic
342#95×C71C2311yescharacteristic
343#95×C71C2311yescharacteristic
344#95×C71C2311yescharacteristic
345#95×C71C2311yescharacteristic
346#95×C71C2311yescharacteristic
347#95×C71C2311yescharacteristic
348#95×C71C2311yescharacteristic
349#95×C71C2311yescharacteristic
350#95×C71C2311yescharacteristic
351#95×C71C2311yescharacteristic
352#95×C71C2311yescharacteristic
353#95×C71C2311yescharacteristic
354#95×C71C2311yescharacteristic
355#95×C71C2311yescharacteristic
356#95×C71C2311yescharacteristic
357#95×C71C2311yescharacteristic
358#95×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
369C24×C71—22no—
370C24×C71—22no—
371C24×C71—22no—
372C24×C71—22no—
373C24×C71—22no—
374C24×C71—22no—
375C24×C71—22no—
376C24×C71—41no—
377C24×C71—41no—
378C24×C71—41no—
379C24×C71—41no—
380C24×C71—41no—
381C24×C71—41no—
382C24×C71#4114yes—
383C24×C71C2411yescharacteristic
384C24×C71C2411yescharacteristic
385C24×C71C2411yescharacteristic
386C24×C71C2411yescharacteristic
387C24×C71C2411yescharacteristic
388C24×C71C2411yescharacteristic
389C2×Q8×C71—22no—
390C2×Q8×C71—41no—
391C2×Q8×C71—41no—
392C2×D4×C71—22no—
393C2×D4×C71—22no—
394C2×D4×C71—22no—
395C2×D4×C71—22no—
396C2×D4×C71—22no—
397C2×D4×C71—22no—
398C2×D4×C71—22no—
399C2×D4×C71—22no—
400C2×D4×C71—22no—
401C2×D4×C71—22no—
402C2×D4×C71—22no—
403C2×D4×C71—22no—
404C2×D4×C71—22no—
405C2×D4×C71—22no—
406C2×D4×C71—22no—
407C2×D4×C71—41no—
408C2×D4×C71—41no—
409C2×D4×C71—41no—
410C2×D4×C71—41no—
411C2×D4×C71—41no—
412C2×D4×C71—41no—
413C2×D4×C71—41no—
414C2×D4×C71—41no—
415C2×D4×C71—41no—
416C2×D4×C71—41no—
417C2×D4×C71—41no—
418C2×D4×C71—41no—
419C2×D4×C71—416no—
420C22×C4×C71—22no—
421C22×C4×C71—22no—
422C22×C4×C71—22no—
423C22×C4×C71—22no—
424C22×C4×C71—22no—
425C22×C4×C71—22no—
426C22×C4×C71—22no—
427C22×C4×C71—22no—
428C22×C4×C71—22no—
429C22×C4×C71—22no—
430C22×C4×C71—22no—
431C22×C4×C71—22no—
432C22×C4×C71—41no—
433C22×C4×C71—41no—
434C22×C4×C71—41no—
435C22×C4×C71—41no—
436C22×C4×C71—41no—
437C22×C4×C71—41no—
438C22×C4×C71—41no—
439C22×C4×C71—41no—
440C22×C4×C71—41no—
441C22×C4×C71—41no—
442C22×C4×C71—41no—
443C22×C4×C71—41no—
444C22×C4×C71—41no—
445C22×C4×C71—41no—
446C22×C4×C71—41no—
447C22×C4×C71—41no—
448C22×C4×C71—41no—
449C22×C4×C71—41no—
450C22×C4×C71—41no—
451C22×C4×C71—41no—
452C22×C4×C71—41no—
453C22×C4×C71—41no—
454C22×C4×C71—41no—
455C22×C4×C71—41no—
456C22×C4×C71—41no—
457C22×C4×C71—41no—
458C22×C4×C71—41no—
459C22×C4×C71—41no—
460C22×C4×C71—41no—
461C22×C4×C71—41no—
462C22×C4×C71—416no—
463C22×C4×C71C2411yescharacteristic
464C22×C4×C71C2411yescharacteristic
465C22×C4×C71C2411yescharacteristic
466C22×C4×C71C2411yescharacteristic
467C22×C4×C71C2411yescharacteristic
468C22×C4×C71C2411yescharacteristic
469C22×C4×C71C2411yescharacteristic
470C22×C4×C71C2411yescharacteristic
471C22×C4×C71C2411yescharacteristic
472C22×C4×C71C2411yescharacteristic
473C22×C4×C71C2411yescharacteristic
474C22×C4×C71C2411yescharacteristic
475C22×C4×C71C2411yescharacteristic
476C22×C4×C71C2411yescharacteristic
477C22×C4×C71C2411yescharacteristic
478C22×C4×C71C2411yescharacteristic
479C22×C4×C71C2411yescharacteristic
480C22×C4×C71C2411yescharacteristic
481C22×C4×C71C2411yescharacteristic
482C22×C4×C71C2411yescharacteristic
483C22×C4×C71C2411yescharacteristic
484C22×C4×C71C2411yescharacteristic
485C22×C4×C71C2411yescharacteristic
486C22×C4×C71C2411yescharacteristic
487C22×C4×C71C2411yescharacteristic
488C4⋊C4×C71—22no—
489C4⋊C4×C71—22no—
490C4⋊C4×C71—41no—
491C4⋊C4×C71—41no—
492C4⋊C4×C71—41no—
493C4⋊C4×C71—41no—
494C4⋊C4×C71—41no—
495C4⋊C4×C71—41no—
496C4⋊C4×C71—41no—
497C4⋊C4×C71—41no—
498C4⋊C4×C71—41no—
499C4⋊C4×C71—41no—
500C4⋊C4×C71—41no—
501C4⋊C4×C71—41no—
502C4⋊C4×C71—41no—
503C4⋊C4×C71—41no—
504C4⋊C4×C71—41no—
505C4⋊C4×C71—41no—
506C4⋊C4×C71—41no—
507C4⋊C4×C71—41no—
508C4⋊C4×C71—41no—
509C4⋊C4×C71—41no—
510C4⋊C4×C71—41no—
511C4⋊C4×C71—41no—
512C4⋊C4×C71—41no—
513C4⋊C4×C71—41no—
514C4⋊C4×C71—41no—
515C4⋊C4×C71—41no—
516C4⋊C4×C71—41no—
517C4⋊C4×C71—41no—
518C22⋊C4×C71—22no—
519C22⋊C4×C71—22no—
520C22⋊C4×C71—22no—
521C22⋊C4×C71—22no—
522C22⋊C4×C71—22no—
523C22⋊C4×C71—22no—
524C22⋊C4×C71—22no—
525C22⋊C4×C71—22no—
526C22⋊C4×C71—22no—
527C22⋊C4×C71—22no—
528C22⋊C4×C71—22no—
529C22⋊C4×C71—22no—
530C22⋊C4×C71—22no—
531C22⋊C4×C71—22no—
532C22⋊C4×C71—22no—
533C22⋊C4×C71—22no—
534C22⋊C4×C71—22no—
535C22⋊C4×C71—22no—
536C22⋊C4×C71—22no—
537C22⋊C4×C71—22no—
538C22⋊C4×C71—22no—
539C22⋊C4×C71—22no—
540C22⋊C4×C71—41no—
541C22⋊C4×C71—41no—
542C22⋊C4×C71—41no—
543C22⋊C4×C71—41no—
544C22⋊C4×C71—41no—
545C22⋊C4×C71—41no—
546C22⋊C4×C71—41no—
547C22⋊C4×C71—41no—
548C22⋊C4×C71—41no—
549C22⋊C4×C71—41no—
550C22⋊C4×C71—41no—
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—
559C22⋊C4×C71—41no—
560C22⋊C4×C71—41no—
561C22⋊C4×C71—41no—
562C22⋊C4×C71—41no—
563C22⋊C4×C71—41no—
564C22⋊C4×C71—41no—
565C22⋊C4×C71—41no—
566C22⋊C4×C71—41no—
567C22⋊C4×C71—41no—
568C22⋊C4×C71—41no—
569C22⋊C4×C71—41no—
570C42×C71—41no—
571C42×C71—41no—
572C42×C71—41no—
573C23×C71—21no—
574C23×C71—21no—
575C23×C71—21no—
576C23×C71—21no—
577C23×C71—28no—
578C23×C71—21no—
579C23×C71—21no—
580C23×C71—21no—
581C23×C71—21no—
582C23×C71—21no—
583C23×C71—21no—
584C23×C71—21no—
585C23×C71—21no—
586C23×C71—21no—
587C23×C71—21no—
588C23×C71—21no—
589C23×C71—21no—
590C23×C71—21no—
591C23×C71—21no—
592C23×C71—21no—
593C23×C71—21no—
594C23×C71—21no—
595C23×C71—21no—
596C23×C71—21no—
597C23×C71—21no—
598C23×C71—21no—
599C23×C71—21no—
600C23×C71—21no—
601C23×C71—21no—
602C23×C71—28no—
603C23×C71—21no—
604C23×C71—21no—
605C23×C71—21no—
606C23×C71—21no—
607C23×C71—21no—
608C23×C71—21no—
609C23×C71—21no—
610C23×C71—44no—
611C23×C71—44no—
612C23×C71—44no—
613C23×C71—44no—
614C23×C71—44no—
615C23×C71—44no—
616C23×C71—44no—
617C23×C71—44no—
618C23×C71—82no—
619C23×C71—82no—
620C23×C71—82no—
621C23×C71—82no—
622C23×C71C2×#4112yes—
623C23×C71C2×#4112yes—
624C23×C71C2×#4112yes—
625C23×C71H(5,𝔽2)12yes—
626C23×C71H(5,𝔽2)12yes—
627C23×C71H(5,𝔽2)12yes—
628C23×C712−1+412yes—
629C23×C71C2511yescharacteristic
630Q8×C71—82no—
631D4×C71—44no—
632D4×C71—44no—
633D4×C71—44no—
634D4×C71—44no—
635D4×C71—44no—
636D4×C71—82no—
637D4×C71—82no—
638D4×C71—82no—
639D4×C71—82no—
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×C71—21no—
650C2×C4×C71—21no—
651C2×C4×C71—21no—
652C2×C4×C71—21no—
653C2×C4×C71—21no—
654C2×C4×C71—21no—
655C2×C4×C71—21no—
656C2×C4×C71—21no—
657C2×C4×C71—21no—
658C2×C4×C71—21no—
659C2×C4×C71—21no—
660C2×C4×C71—21no—
661C2×C4×C71—21no—
662C2×C4×C71—21no—
663C2×C4×C71—21no—
664C2×C4×C71—21no—
665C2×C4×C71—21no—
666C2×C4×C71—21no—
667C2×C4×C71—21no—
668C2×C4×C71—21no—
669C2×C4×C71—21no—
670C2×C4×C71—21no—
671C2×C4×C71—21no—
672C2×C4×C71—21no—
673C2×C4×C71—21no—
674C2×C4×C71—21no—
675C2×C4×C71—21no—
676C2×C4×C71—21no—
677C2×C4×C71—21no—
678C2×C4×C71—21no—
679C2×C4×C71—21no—
680C2×C4×C71—21no—
681C2×C4×C71—21no—
682C2×C4×C71—21no—
683C2×C4×C71—21no—
684C2×C4×C71—21no—
685C2×C4×C71—21no—
686C2×C4×C71—21no—
687C2×C4×C71—21no—
688C2×C4×C71—21no—
689C2×C4×C71—21no—
690C2×C4×C71—21no—
691C2×C4×C71—21no—
692C2×C4×C71—21no—
693C2×C4×C71—21no—
694C2×C4×C71—21no—
695C2×C4×C71—21no—
696C2×C4×C71—21no—
697C2×C4×C71—21no—
698C2×C4×C71—21no—
699C2×C4×C71—21no—
700C2×C4×C71—21no—
701C2×C4×C71—21no—
702C2×C4×C71—21no—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—44no—
715C2×C4×C71—44no—
716C2×C4×C71—44no—
717C2×C4×C71—44no—
718C2×C4×C71—44no—
719C2×C4×C71—44no—
720C2×C4×C71—44no—
721C2×C4×C71—82no—
722C2×C4×C71—82no—
723C2×C4×C71—82no—
724C2×C4×C71—82no—
725C2×C4×C71—82no—
726C2×C4×C71—82no—
727C2×C4×C71—82no—
728C2×C4×C71H(5,𝔽2)12yes—
729C22×C71—22no—
730C22×C71—22no—
731C22×C71—22no—
732C22×C71—22no—
733C22×C71—22no—
734C22×C71—22no—
735C22×C71—22no—
736C22×C71—22no—
737C22×C71—22no—
738C22×C71—22no—
739C22×C71—22no—
740C22×C71—22no—
741C22×C71—22no—
742C22×C71—22no—
743C22×C71—22no—
744C22×C71—22no—
745C22×C71—22no—
746C22×C71—22no—
747C22×C71—416no—
748C22×C71—41no—
749C22×C71—41no—
750C22×C71—41no—
751C22×C71—41no—
752C22×C71—41no—
753C22×C71—41no—
754C22×C71—41no—
755C22×C71—41no—
756C22×C71—41no—
757C22×C71—41no—
758C22×C71—41no—
759C22×C71—41no—
760C22×C71—41no—
761C22×C71—41no—
762C22×C71—41no—
763C22×C71—41no—
764C22×C71—41no—
765C22×C71—41no—
766C22×C71—41no—
767C22×C71—41no—
768C22×C71—41no—
769C22×C71—41no—
770C22×C71—41no—
771C22×C71—88no—
772C22×C71#53914yes—
773C22×C71C22×#4111yescharacteristic
774C22×C71C2×H(5,𝔽2)11yescharacteristic
775C22×C71C2×H(5,𝔽2)11yescharacteristic
776C22×C71C2×H(5,𝔽2)11yescharacteristic
777C22×C71C2×H(5,𝔽2)11yescharacteristic
778C22×C71C2×2−1+411yescharacteristic
779C22×C71#58511yescharacteristic
780C4×C71—22no—
781C4×C71—41no—
782C4×C71—41no—
783C4×C71—41no—
784C4×C71—41no—
785C4×C71—41no—
786C4×C71—41no—
787C4×C71—41no—
788C4×C71—41no—
789C4×C71—41no—
790C4×C71—41no—
791C4×C71—41no—
792C4×C71—41no—
793C4×C71—41no—
794C4×C71—41no—
795C4×C71—41no—
796C4×C71—41no—
797C4×C71—41no—
798C4×C71—41no—
799C4×C71—41no—
800C4×C71—41no—
801C4×C71—41no—
802C4×C71—41no—
803C4×C71—41no—
804C4×C71—41no—
805#36775C7111yesmaximal, characteristic, direct product factor, Sylow
806C2×C71—24no—
807C2×C71—42no—
808C2×C71—42no—
809C2×C71—42no—
810C2×C71—42no—
811C2×C71—81no—
812C2×C71C2×#53911yescharacteristic
813C2×C71#349011yescharacteristic
814C2×C71#350511yescharacteristic
815C2×C71#353211yescharacteristic
816C2×C71#353411yescharacteristic
817C2×C71#353511yescharacteristic
818C2×C71#353611yescharacteristic
819#2849C2×C7111yescharacteristic, complemented
820#2848C2×C7111yescharacteristic, complemented
821#2782C2×C7111yescharacteristic, complemented
822#2750C2×C7111yescharacteristic, complemented
823#2746C2×C7111yescharacteristic, complemented
824#2746C2×C7111yescharacteristic, complemented
825#2743C2×C7111yescharacteristic, complemented
826#2728C2×C7111yescharacteristic, complemented
827#2708C2×C7111yescharacteristic, complemented
828#2708C2×C7111yescharacteristic, complemented
829#2706C2×C7111yescharacteristic, complemented
830#2696C2×C7111yescharacteristic, complemented
831#2695C2×C7111yescharacteristic, complemented
832#2693C2×C7111yescharacteristic, complemented
833#2693C2×C7111yescharacteristic, complemented
834#2691C2×C7111yescharacteristic, complemented
835#2687C2×C7111yescharacteristic, complemented
836#2681C2×C7111yescharacteristic, complemented
837#2646C2×C7111yescharacteristic, complemented
838#2643C2×C7111yescharacteristic, complemented
839#2505C2×C7111yescharacteristic, complemented
840#2480C2×C7111yescharacteristic, complemented
841#2450C2×C7111yescharacteristic, complemented
842#2437C2×C7111yescharacteristic, complemented
843#2418C2×C7111yescharacteristic, complemented
844#2412C2×C7111yescharacteristic, complemented
845#2410C2×C7111yescharacteristic
846#2405C2×C7111yescharacteristic, complemented
847#2321C2×C7111yescharacteristic, complemented
848#2315C2×C7111yescharacteristic, complemented
849C2×#386C2×C7111yescharacteristic, complemented
850C71#3677511yescharacteristic, direct product factor, Sylow
851C23×D4C22×C7111yescharacteristic
852C24×C4C22×C7111yescharacteristic
853C2×#126C22×C7111yescharacteristic, complemented
854C2×#123C22×C7111yescharacteristic
855C2×#123C22×C7111yescharacteristic
856C2×#123C22×C7111yescharacteristic, complemented
857C2×#123C22×C7111yescharacteristic, complemented
858C2×#123C22×C7111yescharacteristic, complemented
859C2×#123C22×C7111yescharacteristic, complemented
860C2×C22⋊Q8C22×C7111yescharacteristic
861C2×C22⋊Q8C22×C7111yescharacteristic, complemented
862C2×C22⋊Q8C22×C7111yescharacteristic, complemented
863C2×C22⋊Q8C22×C7111yescharacteristic, complemented
864C2×#121C22×C7111yescharacteristic
865C2×#121C22×C7111yescharacteristic
866C2×#120C22×C7111yescharacteristic
867C2×#120C22×C7111yescharacteristic
868C2×C4×D4C22×C7111yescharacteristic
869C22×C22⋊C4C22×C7111yescharacteristic
870C22×C22⋊C4C22×C7111yescharacteristic
871C22×C22⋊C4C22×C7111yescharacteristic
872C22×C22⋊C4C22×C7111yescharacteristic
873C22×C22⋊C4C22×C7111yescharacteristic
874#401C22×C7111yescharacteristic, complemented
875#400C22×C7111yescharacteristic, complemented
876#400C22×C7111yescharacteristic, complemented
877#400C22×C7111yescharacteristic, complemented
878#400C22×C7111yescharacteristic, complemented
879#400C22×C7111yescharacteristic, complemented
880#400C22×C7111yescharacteristic, complemented
881#400C22×C7111yescharacteristic, complemented
882#400C22×C7111yescharacteristic, complemented
883#400C22×C7111yescharacteristic, complemented
884#400C22×C7111yescharacteristic, complemented
885#400C22×C7111yescharacteristic, complemented
886#399C22×C7111yescharacteristic, complemented
887#399C22×C7111yescharacteristic, complemented
888#398C22×C7111yescharacteristic, complemented
889#398C22×C7111yescharacteristic, complemented
890#398C22×C7111yescharacteristic, complemented
891#398C22×C7111yescharacteristic, complemented
892#398C22×C7111yescharacteristic, complemented
893#398C22×C7111yescharacteristic, complemented
894#397C22×C7111yescharacteristic, complemented
895#397C22×C7111yescharacteristic, complemented
896#397C22×C7111yescharacteristic, complemented
897#397C22×C7111yescharacteristic, complemented
898#397C22×C7111yescharacteristic, complemented
899#397C22×C7111yescharacteristic, complemented
900#397C22×C7111yescharacteristic, complemented
901#397C22×C7111yescharacteristic, complemented
902#397C22×C7111yescharacteristic, complemented
903#396C22×C7111yescharacteristic, complemented
904#396C22×C7111yescharacteristic, complemented
905#396C22×C7111yescharacteristic, complemented
906#396C22×C7111yescharacteristic, complemented
907#396C22×C7111yescharacteristic, complemented
908#394C22×C7111yescharacteristic
909#394C22×C7111yescharacteristic
910#394C22×C7111yescharacteristic
911#394C22×C7111yescharacteristic
912#394C22×C7111yescharacteristic
913#394C22×C7111yescharacteristic
914#394C22×C7111yescharacteristic, complemented
915#394C22×C7111yescharacteristic, complemented
916#394C22×C7111yescharacteristic, complemented
917#394C22×C7111yescharacteristic, complemented
918#393C22×C7111yescharacteristic, complemented
919#393C22×C7111yescharacteristic, complemented
920#392C22×C7111yescharacteristic
921#392C22×C7111yescharacteristic
922#391C22×C7111yescharacteristic, complemented
923#390C22×C7111yescharacteristic, complemented
924#390C22×C7111yescharacteristic, complemented
925#389C22×C7111yescharacteristic, complemented
926#388C22×C7111yescharacteristic, complemented
927#388C22×C7111yescharacteristic, complemented
928#388C22×C7111yescharacteristic, complemented
929#388C22×C7111yescharacteristic, complemented
930#388C22×C7111yescharacteristic, complemented
931#388C22×C7111yescharacteristic, complemented
932#388C22×C7111yescharacteristic, complemented
933#388C22×C7111yescharacteristic, complemented
934#388C22×C7111yescharacteristic, complemented
935#387C22×C7111yescharacteristic, complemented
936#387C22×C7111yescharacteristic, complemented
937#387C22×C7111yescharacteristic, complemented
938#386C22×C7111yescharacteristic
939#386C22×C7111yescharacteristic
940#386C22×C7111yescharacteristic
941#386C22×C7111yescharacteristic
942#386C22×C7111yescharacteristic
943#386C22×C7111yescharacteristic
944#386C22×C7111yescharacteristic
945#386C22×C7111yescharacteristic
946#386C22×C7111yescharacteristic
947#386C22×C7111yescharacteristic
948#386C22×C7111yescharacteristic
949#386C22×C7111yescharacteristic
950#386C22×C7111yescharacteristic
951#386C22×C7111yescharacteristic
952#386C22×C7111yescharacteristic
953#386C22×C7111yescharacteristic
954#386C22×C7111yescharacteristic, complemented
955#386C22×C7111yescharacteristic, complemented
956#386C22×C7111yescharacteristic, complemented
957#386C22×C7111yescharacteristic, complemented
958#386C22×C7111yescharacteristic, complemented
959#386C22×C7111yescharacteristic, complemented
960#385C22×C7111yescharacteristic
961#385C22×C7111yescharacteristic
962#385C22×C7111yescharacteristic
963#385C22×C7111yescharacteristic
964#385C22×C7111yescharacteristic
965#385C22×C7111yescharacteristic
966#385C22×C7111yescharacteristic
967#385C22×C7111yescharacteristic
968#385C22×C7111yescharacteristic
969#385C22×C7111yescharacteristic
970#385C22×C7111yescharacteristic, complemented
971#385C22×C7111yescharacteristic, complemented
972#385C22×C7111yescharacteristic, complemented
973#385C22×C7111yescharacteristic, complemented
974#385C22×C7111yescharacteristic, complemented
975#385C22×C7111yescharacteristic, complemented
976#385C22×C7111yescharacteristic, complemented
977#385C22×C7111yescharacteristic, complemented
978#385C22×C7111yescharacteristic, complemented
979#385C22×C7111yescharacteristic, complemented
980#385C22×C7111yescharacteristic, complemented
981#385C22×C7111yescharacteristic, complemented
982#385C22×C7111yescharacteristic, complemented
983#385C22×C7111yescharacteristic, complemented
984#382C22×C7111yescharacteristic, complemented
985#381C22×C7111yescharacteristic, complemented
986#381C22×C7111yescharacteristic, complemented
987#381C22×C7111yescharacteristic, complemented
988#380C22×C7111yescharacteristic
989#380C22×C7111yescharacteristic
990#380C22×C7111yescharacteristic
991#380C22×C7111yescharacteristic, complemented
992#380C22×C7111yescharacteristic, complemented
993#380C22×C7111yescharacteristic, complemented
994#380C22×C7111yescharacteristic, complemented
995#380C22×C7111yescharacteristic, complemented
996#380C22×C7111yescharacteristic, complemented
997#380C22×C7111yescharacteristic, complemented
998#380C22×C7111yescharacteristic, complemented
999#379C22×C7111yescharacteristic
1000#379C22×C7111yescharacteristic
1001#379C22×C7111yescharacteristic
1002#379C22×C7111yescharacteristic
1003C4×C22⋊C4C22×C7111yescharacteristic
1004C2×#95C22×C7111yescharacteristic
1005C2×#95C22×C7111yescharacteristic
1006C25C23×C7111yescharacteristic
1007C25C23×C7111yescharacteristic
1008C22×Q8C23×C7111yescharacteristic
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4C23×C7111yescharacteristic
1013C22×D4C23×C7111yescharacteristic
1014C22×D4C23×C7111yescharacteristic
1015C22×D4C23×C7111yescharacteristic
1016C22×D4C23×C7111yescharacteristic
1017C22×D4C23×C7111yescharacteristic
1018C22×D4C23×C7111yescharacteristic
1019C22×D4C23×C7111yescharacteristic
1020C22×D4C23×C7111yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4C23×C7111yescharacteristic
1025C23×C4C23×C7111yescharacteristic
1026C23×C4C23×C7111yescharacteristic
1027C23×C4C23×C7111yescharacteristic
1028C23×C4C23×C7111yescharacteristic
1029C23×C4C23×C7111yescharacteristic
1030C23×C4C23×C7111yescharacteristic
1031C23×C4C23×C7111yescharacteristic
1032C23×C4C23×C7111yescharacteristic
1033C23×C4C23×C7111yescharacteristic
1034C23×C4C23×C7111yescharacteristic
1035C23×C4C23×C7111yescharacteristic
1036C23×C4C23×C7111yescharacteristic
1037C23×C4C23×C7111yescharacteristic
1038#126—42no—
1039#123—42no—
1040#123—42no—
1041#123—42no—
1042#123—42no—
1043#123—42no—
1044#123—42no—
1045C22⋊Q8—42no—
1046C22⋊Q8—42no—
1047C22⋊Q8—42no—
1048C22⋊Q8—42no—
1049#121—42no—
1050#121—42no—
1051#120—24no—
1052#120—42no—
1053C4×D4—42no—
1054C2×C4⋊C4C23×C7111yescharacteristic
1055C2×C4⋊C4C23×C7111yescharacteristic
1056C2×C4⋊C4C23×C7111yescharacteristic
1057C2×C4⋊C4C23×C7111yescharacteristic
1058C2×C4⋊C4C23×C7111yescharacteristic
1059C2×C4⋊C4C23×C7111yescharacteristic
1060C2×C4⋊C4C23×C7111yescharacteristic
1061C2×C4⋊C4C23×C7111yescharacteristic
1062C2×C4⋊C4C23×C7111yescharacteristic
1063C2×C4⋊C4C23×C7111yescharacteristic
1064C2×C4⋊C4C23×C7111yescharacteristic
1065C2×C4⋊C4C23×C7111yescharacteristic
1066C2×C4⋊C4C23×C7111yescharacteristic
1067C2×C4⋊C4C23×C7111yescharacteristic
1068C2×C4⋊C4C23×C7111yescharacteristic
1069C2×C4⋊C4C23×C7111yescharacteristic
1070C2×C4⋊C4C23×C7111yescharacteristic
1071C2×C4⋊C4C23×C7111yescharacteristic
1072C2×C4⋊C4C23×C7111yescharacteristic
1073C2×C4⋊C4C23×C7111yescharacteristic
1074C2×C4⋊C4C23×C7111yescharacteristic
1075C2×C4⋊C4C23×C7111yescharacteristic
1076C2×C4⋊C4C23×C7111yescharacteristic
1077C2×C4⋊C4C23×C7111yescharacteristic
1078C2×C4⋊C4C23×C7111yescharacteristic
1079C2×C4⋊C4C23×C7111yescharacteristic
1080C2×C4⋊C4C23×C7111yescharacteristic
1081C2×C4⋊C4C23×C7111yescharacteristic
1082C2×C4⋊C4C23×C7111yescharacteristic
1083C2×C4⋊C4C23×C7111yescharacteristic
1084C2×C22⋊C4—24no—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—42no—
1087C2×C22⋊C4—42no—
1088C2×C22⋊C4—42no—
1089C2×C22⋊C4C23×C7111yescharacteristic
1090C2×C22⋊C4C23×C7111yescharacteristic
1091C2×C22⋊C4C23×C7111yescharacteristic
1092C2×C22⋊C4C23×C7111yescharacteristic
1093C2×C22⋊C4C23×C7111yescharacteristic
1094C2×C22⋊C4C23×C7111yescharacteristic
1095C2×C22⋊C4C23×C7111yescharacteristic
1096C2×C22⋊C4C23×C7111yescharacteristic
1097C2×C22⋊C4C23×C7111yescharacteristic
1098C2×C22⋊C4C23×C7111yescharacteristic
1099C2×C22⋊C4C23×C7111yescharacteristic
1100C2×C22⋊C4C23×C7111yescharacteristic
1101C2×C22⋊C4C23×C7111yescharacteristic
1102C2×C22⋊C4C23×C7111yescharacteristic
1103C2×C22⋊C4C23×C7111yescharacteristic
1104C2×C22⋊C4C23×C7111yescharacteristic
1105C2×C22⋊C4C23×C7111yescharacteristic
1106C2×C22⋊C4C23×C7111yescharacteristic
1107C2×C22⋊C4C23×C7111yescharacteristic
1108C2×C22⋊C4C23×C7111yescharacteristic
1109C2×C22⋊C4C23×C7111yescharacteristic
1110C2×C22⋊C4C23×C7111yescharacteristic
1111C2×C22⋊C4C23×C7111yescharacteristic
1112C2×C22⋊C4C23×C7111yescharacteristic
1113C2×C22⋊C4C23×C7111yescharacteristic
1114C2×C22⋊C4C23×C7111yescharacteristic
1115C2×C22⋊C4C23×C7111yescharacteristic
1116C2×C22⋊C4C23×C7111yescharacteristic
1117C2×C22⋊C4C23×C7111yescharacteristic
1118C2×C22⋊C4C23×C7111yescharacteristic
1119C2×C22⋊C4C23×C7111yescharacteristic
1120C2×C22⋊C4C23×C7111yescharacteristic
1121C2×C22⋊C4C23×C7111yescharacteristic
1122C2×C22⋊C4C23×C7111yescharacteristic
1123C2×C22⋊C4C23×C7111yescharacteristic
1124C2×C22⋊C4C23×C7111yescharacteristic
1125C2×C22⋊C4C23×C7111yescharacteristic
1126C2×C22⋊C4C23×C7111yescharacteristic
1127C2×C22⋊C4C23×C7111yescharacteristic
1128C2×C22⋊C4C23×C7111yescharacteristic
1129C2×C22⋊C4C23×C7111yescharacteristic
1130C2×C22⋊C4C23×C7111yescharacteristic
1131C2×C22⋊C4C23×C7111yescharacteristic
1132C2×C22⋊C4C23×C7111yescharacteristic
1133C2×C22⋊C4C23×C7111yescharacteristic
1134C2×C22⋊C4C23×C7111yescharacteristic
1135C2×C22⋊C4C23×C7111yescharacteristic
1136C2×C22⋊C4C23×C7111yescharacteristic
1137C2×C22⋊C4C23×C7111yescharacteristic
1138C2×C22⋊C4C23×C7111yescharacteristic
1139C2×C22⋊C4C23×C7111yescharacteristic
1140C2×C22⋊C4C23×C7111yescharacteristic
1141C2×C42C23×C7111yescharacteristic
1142C2×C42C23×C7111yescharacteristic
1143C2×C42C23×C7111yescharacteristic
1144#95C23×C7111yescharacteristic
1145#95C23×C7111yescharacteristic
1146#95C23×C7111yescharacteristic
1147#95C23×C7111yescharacteristic
1148#95C23×C7111yescharacteristic
1149#95C23×C7111yescharacteristic
1150#95C23×C7111yescharacteristic
1151#95C23×C7111yescharacteristic
1152#95C23×C7111yescharacteristic
1153#95C23×C7111yescharacteristic
1154#95C23×C7111yescharacteristic
1155#95C23×C7111yescharacteristic
1156#95C23×C7111yescharacteristic
1157#95C23×C7111yescharacteristic
1158#95C23×C7111yescharacteristic
1159#95C23×C7111yescharacteristic
1160#95C23×C7111yescharacteristic
1161#95C23×C7111yescharacteristic
1162#95C23×C7111yescharacteristic
1163#95C23×C7111yescharacteristic
1164#95C23×C7111yescharacteristic
1165#95C23×C7111yescharacteristic
1166#95C23×C7111yescharacteristic
1167#95C23×C7111yescharacteristic
1168#95C23×C7111yescharacteristic
1169#95C23×C7111yescharacteristic
1170#95C23×C7111yescharacteristic
1171#95C23×C7111yescharacteristic
1172#95C23×C7111yescharacteristic
1173#95C23×C7111yescharacteristic
1174#95C23×C7111yescharacteristic
1175#95C23×C7111yescharacteristic
1176#95C23×C7111yescharacteristic
1177#95C23×C7111yescharacteristic
1178#95C23×C7111yescharacteristic
1179#95C23×C7111yescharacteristic
1180#95C23×C7111yescharacteristic
1181#95C23×C7111yescharacteristic
1182#95C23×C7111yescharacteristic
1183#95C23×C7111yescharacteristic
1184#95C23×C7111yescharacteristic
1185#95C23×C7111yescharacteristic
1186#95C23×C7111yescharacteristic
1187#95C23×C7111yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24#41×C7114yes—
1202C24C24×C7111yescharacteristic
1203C24C24×C7111yescharacteristic
1204C24C24×C7111yescharacteristic
1205C24C24×C7111yescharacteristic
1206C24C24×C7111yescharacteristic
1207C24C24×C7111yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—22no—
1220C2×D4—22no—
1221C2×D4—22no—
1222C2×D4—22no—
1223C2×D4—22no—
1224C2×D4—22no—
1225C2×D4—22no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C2×D4—41no—
1235C2×D4—41no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—416no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—41no—
1279C22×C4—41no—
1280C22×C4—41no—
1281C22×C4—416no—
1282C22×C4C24×C7111yescharacteristic
1283C22×C4C24×C7111yescharacteristic
1284C22×C4C24×C7111yescharacteristic
1285C22×C4C24×C7111yescharacteristic
1286C22×C4C24×C7111yescharacteristic
1287C22×C4C24×C7111yescharacteristic
1288C22×C4C24×C7111yescharacteristic
1289C22×C4C24×C7111yescharacteristic
1290C22×C4C24×C7111yescharacteristic
1291C22×C4C24×C7111yescharacteristic
1292C22×C4C24×C7111yescharacteristic
1293C22×C4C24×C7111yescharacteristic
1294C22×C4C24×C7111yescharacteristic
1295C22×C4C24×C7111yescharacteristic
1296C22×C4C24×C7111yescharacteristic
1297C22×C4C24×C7111yescharacteristic
1298C22×C4C24×C7111yescharacteristic
1299C22×C4C24×C7111yescharacteristic
1300C22×C4C24×C7111yescharacteristic
1301C22×C4C24×C7111yescharacteristic
1302C22×C4C24×C7111yescharacteristic
1303C22×C4C24×C7111yescharacteristic
1304C22×C4C24×C7111yescharacteristic
1305C22×C4C24×C7111yescharacteristic
1306C22×C4C24×C7111yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—41no—
1319C4⋊C4—41no—
1320C4⋊C4—41no—
1321C4⋊C4—41no—
1322C4⋊C4—41no—
1323C4⋊C4—41no—
1324C4⋊C4—41no—
1325C4⋊C4—41no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—41no—
1330C4⋊C4—41no—
1331C4⋊C4—41no—
1332C4⋊C4—41no—
1333C4⋊C4—41no—
1334C4⋊C4—41no—
1335C4⋊C4—41no—
1336C4⋊C4—41no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—22no—
1350C22⋊C4—22no—
1351C22⋊C4—22no—
1352C22⋊C4—22no—
1353C22⋊C4—22no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—22no—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—41no—
1374C22⋊C4—41no—
1375C22⋊C4—41no—
1376C22⋊C4—41no—
1377C22⋊C4—41no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C42—41no—
1390C42—41no—
1391C42—41no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—28no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—44no—
1430C23—44no—
1431C23—44no—
1432C23—44no—
1433C23—44no—
1434C23—44no—
1435C23—44no—
1436C23—44no—
1437C23—82no—
1438C23—82no—
1439C23—82no—
1440C23—82no—
1441C23C2×#41×C7112yes—
1442C23C2×#41×C7112yes—
1443C23C2×#41×C7112yes—
1444C23H(5,𝔽2)×C7112yes—
1445C23H(5,𝔽2)×C7112yes—
1446C23H(5,𝔽2)×C7112yes—
1447C232−1+4×C7112yes—
1448C23C25×C7111yescharacteristic
1449Q8—82no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—44no—
1455D4—82no—
1456D4—82no—
1457D4—82no—
1458D4—82no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—44no—
1534C2×C4—44no—
1535C2×C4—44no—
1536C2×C4—44no—
1537C2×C4—44no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—82no—
1543C2×C4—82no—
1544C2×C4—82no—
1545C2×C4—82no—
1546C2×C4—82no—
1547C2×C4H(5,𝔽2)×C7112yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—416no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—88no—
1591C22#539×C7114yes—
1592C22C22×#41×C7111yescharacteristic
1593C22C2×H(5,𝔽2)×C7111yescharacteristic
1594C22C2×H(5,𝔽2)×C7111yescharacteristic
1595C22C2×H(5,𝔽2)×C7111yescharacteristic
1596C22C2×H(5,𝔽2)×C7111yescharacteristic
1597C22C2×2−1+4×C7111yescharacteristic
1598C22#585×C7111yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—41no—
1617C4—41no—
1618C4—41no—
1619C4—41no—
1620C4—41no—
1621C4—41no—
1622C4—41no—
1623C4—41no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—42no—
1628C2—42no—
1629C2—81no—
1630C2C2×#539×C7111yescharacteristic
1631C2C71×#349011yescharacteristic
1632C2C71×#350511yescharacteristic
1633C2C71×#353211yescharacteristic
1634C2C71×#353411yescharacteristic
1635C2C71×#353511yescharacteristic
1636C2C71×#353611yescharacteristic
subgroupG/H
center, socleC23×C71C25
commutator, Frattini, cosocleC23C25×C71
prime radicalC71×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#2849C2semidirect
2. C71×#2848C2semidirect
3. C71×#2782C2semidirect
4. C71×#2750C2semidirect
5. C71×#2746C2semidirect
6. C71×#2746C2semidirect
7. C71×#2743C2semidirect
8. C71×#2728C2semidirect
9. C71×#2708C2semidirect
10. C71×#2708C2semidirect
11. C71×#2706C2semidirect
12. C71×#2696C2semidirect
13. C71×#2695C2semidirect
14. C71×#2693C2semidirect
15. C71×#2693C2semidirect
16. C71×#2691C2semidirect
17. C71×#2687C2semidirect
18. C71×#2681C2semidirect
19. C71×#2646C2semidirect
20. C71×#2643C2semidirect
21. C71×#2505C2semidirect
22. C71×#2480C2semidirect
23. C71×#2450C2semidirect
24. C71×#2437C2semidirect
25. C71×#2418C2semidirect
26. C71×#2412C2semidirect
28. C71×#2405C2semidirect
29. C71×#2321C2semidirect
30. C71×#2315C2semidirect
31. C2×#386×C71C2semidirect
34. C2×#126×C71C22semidirect
37. C2×#123×C71C22semidirect
38. C2×#123×C71C22semidirect
39. C2×#123×C71C22semidirect
40. C2×#123×C71C22semidirect
42. C2×C22⋊Q8×C71C22semidirect
43. C2×C22⋊Q8×C71C22semidirect
44. C2×C22⋊Q8×C71C22semidirect
55. #401×C71C22semidirect
56. #400×C71C22semidirect
57. #400×C71C22semidirect
58. #400×C71C22semidirect
59. #400×C71C22semidirect
60. #400×C71C22semidirect
61. #400×C71C22semidirect
62. #400×C71C22semidirect
63. #400×C71C22semidirect
64. #400×C71C22semidirect
65. #400×C71C22semidirect
66. #400×C71C22semidirect
67. #399×C71C22semidirect
68. #399×C71C22semidirect
69. #398×C71C22semidirect
70. #398×C71C22semidirect
71. #398×C71C22semidirect
72. #398×C71C22semidirect
73. #398×C71C22semidirect
74. #398×C71C22semidirect
75. #397×C71C22semidirect
76. #397×C71C22semidirect
77. #397×C71C22semidirect
78. #397×C71C22semidirect
79. #397×C71C22semidirect
80. #397×C71C22semidirect
81. #397×C71C22semidirect
82. #397×C71C22semidirect
83. #397×C71C22semidirect
84. #396×C71C22semidirect
85. #396×C71C22semidirect
86. #396×C71C22semidirect
87. #396×C71C22semidirect
88. #396×C71C22semidirect
95. #394×C71C22semidirect
96. #394×C71C22semidirect
97. #394×C71C22semidirect
98. #394×C71C22semidirect
99. #393×C71C22semidirect
100. #393×C71C22semidirect
103. #391×C71C22semidirect
104. #390×C71C22semidirect
105. #390×C71C22semidirect
106. #389×C71C22semidirect
107. #388×C71C22semidirect
108. #388×C71C22semidirect
109. #388×C71C22semidirect
110. #388×C71C22semidirect
111. #388×C71C22semidirect
112. #388×C71C22semidirect
113. #388×C71C22semidirect
114. #388×C71C22semidirect
115. #388×C71C22semidirect
116. #387×C71C22semidirect
117. #387×C71C22semidirect
118. #387×C71C22semidirect
135. #386×C71C22semidirect
136. #386×C71C22semidirect
137. #386×C71C22semidirect
138. #386×C71C22semidirect
139. #386×C71C22semidirect
140. #386×C71C22semidirect
151. #385×C71C22semidirect
152. #385×C71C22semidirect
153. #385×C71C22semidirect
154. #385×C71C22semidirect
155. #385×C71C22semidirect
156. #385×C71C22semidirect
157. #385×C71C22semidirect
158. #385×C71C22semidirect
159. #385×C71C22semidirect
160. #385×C71C22semidirect
161. #385×C71C22semidirect
162. #385×C71C22semidirect
163. #385×C71C22semidirect
164. #385×C71C22semidirect
165. #382×C71C22semidirect
166. #381×C71C22semidirect
167. #381×C71C22semidirect
168. #381×C71C22semidirect
172. #380×C71C22semidirect
173. #380×C71C22semidirect
174. #380×C71C22semidirect
175. #380×C71C22semidirect
176. #380×C71C22semidirect
177. #380×C71C22semidirect
178. #380×C71C22semidirect
179. #380×C71C22semidirect
805. #36775C71direct (N × H)
819. #2849C2×C71semidirect
820. #2848C2×C71semidirect
821. #2782C2×C71semidirect
822. #2750C2×C71semidirect
823. #2746C2×C71semidirect
824. #2746C2×C71semidirect
825. #2743C2×C71semidirect
826. #2728C2×C71semidirect
827. #2708C2×C71semidirect
828. #2708C2×C71semidirect
829. #2706C2×C71semidirect
830. #2696C2×C71semidirect
831. #2695C2×C71semidirect
832. #2693C2×C71semidirect
833. #2693C2×C71semidirect
834. #2691C2×C71semidirect
835. #2687C2×C71semidirect
836. #2681C2×C71semidirect
837. #2646C2×C71semidirect
838. #2643C2×C71semidirect
839. #2505C2×C71semidirect
840. #2480C2×C71semidirect
841. #2450C2×C71semidirect
842. #2437C2×C71semidirect
843. #2418C2×C71semidirect
844. #2412C2×C71semidirect
846. #2405C2×C71semidirect
847. #2321C2×C71semidirect
848. #2315C2×C71semidirect
849. C2×#386C2×C71semidirect
850. C71#36775direct (N × H)
853. C2×#126C22×C71semidirect
856. C2×#123C22×C71semidirect
857. C2×#123C22×C71semidirect
858. C2×#123C22×C71semidirect
859. C2×#123C22×C71semidirect
861. C2×C22⋊Q8C22×C71semidirect
862. C2×C22⋊Q8C22×C71semidirect
863. C2×C22⋊Q8C22×C71semidirect
874. #401C22×C71semidirect
875. #400C22×C71semidirect
876. #400C22×C71semidirect
877. #400C22×C71semidirect
878. #400C22×C71semidirect
879. #400C22×C71semidirect
880. #400C22×C71semidirect
881. #400C22×C71semidirect
882. #400C22×C71semidirect
883. #400C22×C71semidirect
884. #400C22×C71semidirect
885. #400C22×C71semidirect
886. #399C22×C71semidirect
887. #399C22×C71semidirect
888. #398C22×C71semidirect
889. #398C22×C71semidirect
890. #398C22×C71semidirect
891. #398C22×C71semidirect
892. #398C22×C71semidirect
893. #398C22×C71semidirect
894. #397C22×C71semidirect
895. #397C22×C71semidirect
896. #397C22×C71semidirect
897. #397C22×C71semidirect
898. #397C22×C71semidirect
899. #397C22×C71semidirect
900. #397C22×C71semidirect
901. #397C22×C71semidirect
902. #397C22×C71semidirect
903. #396C22×C71semidirect
904. #396C22×C71semidirect
905. #396C22×C71semidirect
906. #396C22×C71semidirect
907. #396C22×C71semidirect
914. #394C22×C71semidirect
915. #394C22×C71semidirect
916. #394C22×C71semidirect
917. #394C22×C71semidirect
918. #393C22×C71semidirect
919. #393C22×C71semidirect
922. #391C22×C71semidirect
923. #390C22×C71semidirect
924. #390C22×C71semidirect
925. #389C22×C71semidirect
926. #388C22×C71semidirect
927. #388C22×C71semidirect
928. #388C22×C71semidirect
929. #388C22×C71semidirect
930. #388C22×C71semidirect
931. #388C22×C71semidirect
932. #388C22×C71semidirect
933. #388C22×C71semidirect
934. #388C22×C71semidirect
935. #387C22×C71semidirect
936. #387C22×C71semidirect
937. #387C22×C71semidirect
954. #386C22×C71semidirect
955. #386C22×C71semidirect
956. #386C22×C71semidirect
957. #386C22×C71semidirect
958. #386C22×C71semidirect
959. #386C22×C71semidirect
970. #385C22×C71semidirect
971. #385C22×C71semidirect
972. #385C22×C71semidirect
973. #385C22×C71semidirect
974. #385C22×C71semidirect
975. #385C22×C71semidirect
976. #385C22×C71semidirect
977. #385C22×C71semidirect
978. #385C22×C71semidirect
979. #385C22×C71semidirect
980. #385C22×C71semidirect
981. #385C22×C71semidirect
982. #385C22×C71semidirect
983. #385C22×C71semidirect
984. #382C22×C71semidirect
985. #381C22×C71semidirect
986. #381C22×C71semidirect
987. #381C22×C71semidirect
991. #380C22×C71semidirect
992. #380C22×C71semidirect
993. #380C22×C71semidirect
994. #380C22×C71semidirect
995. #380C22×C71semidirect
996. #380C22×C71semidirect
997. #380C22×C71semidirect
998. #380C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#28492
C71×#28482
C71×#27822
C71×#27502
C71×#27462
C71×#27432
C71×#27282
C71×#27082
C71×#27062
C71×#26962
C71×#26952
C71×#26932
C71×#26912
C71×#26872
C71×#26812
C71×#26462
C71×#26432
C71×#25052
C71×#24802
C71×#24502
C71×#24372
C71×#24182
C71×#24122
C71×#24102
C71×#24052
C71×#23212
C71×#23152
C2×#386×C712
#3677571