Finite Group Databasebeta

← C71×#36807 #31857679

Subgroups — C71×#36807 #31857679

Order 18176.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#2852C211yesmaximal, characteristic, complemented
2C71×#2851C211yesmaximal, characteristic, complemented
3C71×#2796C211yesmaximal, characteristic, complemented
4C71×#2786C211yesmaximal, characteristic, complemented
5C71×#2757C211yesmaximal, characteristic, complemented
6C71×#2740C211yesmaximal, characteristic, complemented
7C71×#2737C211yesmaximal, characteristic, complemented
8C71×#2723C211yesmaximal, characteristic, complemented
9C71×#2711C211yesmaximal, characteristic, complemented
10C71×#2711C211yesmaximal, characteristic, complemented
11C71×#2707C211yesmaximal, characteristic, complemented
12C71×#2706C211yesmaximal, characteristic, complemented
13C71×#2705C211yesmaximal, characteristic, complemented
14C71×#2705C211yesmaximal, characteristic, complemented
15C71×#2696C211yesmaximal, characteristic, complemented
16C71×#2694C211yesmaximal, characteristic, complemented
17C71×#2691C211yesmaximal, characteristic, complemented
18C71×#2681C211yesmaximal, characteristic, complemented
19C71×#2626C211yesmaximal, characteristic, complemented
20C71×#2622C211yesmaximal, characteristic, complemented
21C71×#2480C211yesmaximal, characteristic, complemented
22C71×#2473C211yesmaximal, characteristic, complemented
23C71×#2449C211yesmaximal, 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×#390×C71C211yesmaximal, characteristic, complemented
32C23×D4×C71C2211yescharacteristic
33C2×#126×C71C2211yescharacteristic, complemented
34C2×#126×C71C2211yescharacteristic, complemented
35C2×#125×C71C2211yescharacteristic, complemented
36C2×#125×C71C2211yescharacteristic, complemented
37C2×#123×C71C2211yescharacteristic
38C2×#123×C71C2211yescharacteristic
39C2×#123×C71C2211yescharacteristic, complemented
40C2×#123×C71C2211yescharacteristic, complemented
41C2×C22⋊Q8×C71C2211yescharacteristic
42C2×C22⋊Q8×C71C2211yescharacteristic, complemented
43C2×C22⋊Q8×C71C2211yescharacteristic, complemented
44C2×#121×C71C2211yescharacteristic
45C2×#121×C71C2211yescharacteristic
46C2×#120×C71C2211yescharacteristic
47C2×#120×C71C2211yescharacteristic
48C2×C4×D4×C71C2211yescharacteristic
49C22×C4⋊C4×C71C2211yescharacteristic
50C22×C22⋊C4×C71C2211yescharacteristic
51C22×C22⋊C4×C71C2211yescharacteristic
52C22×C22⋊C4×C71C2211yescharacteristic
53C22×C22⋊C4×C71C2211yescharacteristic
54C22×C22⋊C4×C71C2211yescharacteristic
55C22×C22⋊C4×C71C2211yescharacteristic
56C22×C42×C71C2211yescharacteristic
57#400×C71C2211yescharacteristic, complemented
58#399×C71C2211yescharacteristic, complemented
59#399×C71C2211yescharacteristic, complemented
60#399×C71C2211yescharacteristic, complemented
61#399×C71C2211yescharacteristic, complemented
62#399×C71C2211yescharacteristic, complemented
63#398×C71C2211yescharacteristic, complemented
64#398×C71C2211yescharacteristic, complemented
65#398×C71C2211yescharacteristic, complemented
66#398×C71C2211yescharacteristic, complemented
67#397×C71C2211yescharacteristic, complemented
68#397×C71C2211yescharacteristic, complemented
69#397×C71C2211yescharacteristic, complemented
70#397×C71C2211yescharacteristic, complemented
71#397×C71C2211yescharacteristic, complemented
72#397×C71C2211yescharacteristic, complemented
73#397×C71C2211yescharacteristic, complemented
74#397×C71C2211yescharacteristic, complemented
75#397×C71C2211yescharacteristic, complemented
76#397×C71C2211yescharacteristic, complemented
77#396×C71C2211yescharacteristic, complemented
78#396×C71C2211yescharacteristic, complemented
79#396×C71C2211yescharacteristic, complemented
80#396×C71C2211yescharacteristic, complemented
81#396×C71C2211yescharacteristic, complemented
82#396×C71C2211yescharacteristic, complemented
83#396×C71C2211yescharacteristic, complemented
84#396×C71C2211yescharacteristic, complemented
85#395×C71C2211yescharacteristic, complemented
86#394×C71C2211yescharacteristic
87#394×C71C2211yescharacteristic
88#394×C71C2211yescharacteristic
89#394×C71C2211yescharacteristic
90#394×C71C2211yescharacteristic
91#394×C71C2211yescharacteristic
92#394×C71C2211yescharacteristic, complemented
93#394×C71C2211yescharacteristic, complemented
94#394×C71C2211yescharacteristic, complemented
95#394×C71C2211yescharacteristic, complemented
96#394×C71C2211yescharacteristic, complemented
97#394×C71C2211yescharacteristic, complemented
98#394×C71C2211yescharacteristic, complemented
99#394×C71C2211yescharacteristic, complemented
100#393×C71C2211yescharacteristic, complemented
101#393×C71C2211yescharacteristic, complemented
102#393×C71C2211yescharacteristic, complemented
103#392×C71C2211yescharacteristic
104#392×C71C2211yescharacteristic
105#390×C71C2211yescharacteristic
106#390×C71C2211yescharacteristic
107#390×C71C2211yescharacteristic
108#390×C71C2211yescharacteristic
109#390×C71C2211yescharacteristic
110#390×C71C2211yescharacteristic
111#390×C71C2211yescharacteristic
112#390×C71C2211yescharacteristic
113#390×C71C2211yescharacteristic, complemented
114#390×C71C2211yescharacteristic, complemented
115#389×C71C2211yescharacteristic, complemented
116#389×C71C2211yescharacteristic, complemented
117#389×C71C2211yescharacteristic, complemented
118#389×C71C2211yescharacteristic, complemented
119#388×C71C2211yescharacteristic, complemented
120#388×C71C2211yescharacteristic, complemented
121#388×C71C2211yescharacteristic, complemented
122#388×C71C2211yescharacteristic, complemented
123#388×C71C2211yescharacteristic, complemented
124#388×C71C2211yescharacteristic, complemented
125#388×C71C2211yescharacteristic, complemented
126#388×C71C2211yescharacteristic, complemented
127#388×C71C2211yescharacteristic, complemented
128#388×C71C2211yescharacteristic, complemented
129#388×C71C2211yescharacteristic, complemented
130#388×C71C2211yescharacteristic, complemented
131#387×C71C2211yescharacteristic, complemented
132#387×C71C2211yescharacteristic, complemented
133#387×C71C2211yescharacteristic, complemented
134#387×C71C2211yescharacteristic, complemented
135#387×C71C2211yescharacteristic, complemented
136#387×C71C2211yescharacteristic, complemented
137#387×C71C2211yescharacteristic, complemented
138#387×C71C2211yescharacteristic, complemented
139#387×C71C2211yescharacteristic, complemented
140#387×C71C2211yescharacteristic, complemented
141#386×C71C2211yescharacteristic
142#386×C71C2211yescharacteristic
143#386×C71C2211yescharacteristic
144#386×C71C2211yescharacteristic
145#386×C71C2211yescharacteristic
146#386×C71C2211yescharacteristic
147#386×C71C2211yescharacteristic
148#386×C71C2211yescharacteristic
149#386×C71C2211yescharacteristic, complemented
150#386×C71C2211yescharacteristic, complemented
151#386×C71C2211yescharacteristic, complemented
152#386×C71C2211yescharacteristic, complemented
153#385×C71C2211yescharacteristic
154#385×C71C2211yescharacteristic
155#385×C71C2211yescharacteristic
156#385×C71C2211yescharacteristic
157#385×C71C2211yescharacteristic
158#385×C71C2211yescharacteristic
159#385×C71C2211yescharacteristic
160#385×C71C2211yescharacteristic
161#385×C71C2211yescharacteristic
162#385×C71C2211yescharacteristic
163#385×C71C2211yescharacteristic, complemented
164#385×C71C2211yescharacteristic, complemented
165#385×C71C2211yescharacteristic, complemented
166#385×C71C2211yescharacteristic, complemented
167#385×C71C2211yescharacteristic, complemented
168#385×C71C2211yescharacteristic, complemented
169#385×C71C2211yescharacteristic, complemented
170#385×C71C2211yescharacteristic, complemented
171#383×C71C2211yescharacteristic, complemented
172#382×C71C2211yescharacteristic, complemented
173#381×C71C2211yescharacteristic, complemented
174#380×C71C2211yescharacteristic
175#380×C71C2211yescharacteristic
176#380×C71C2211yescharacteristic
177#380×C71C2211yescharacteristic, complemented
178#380×C71C2211yescharacteristic, complemented
179#380×C71C2211yescharacteristic, complemented
180#380×C71C2211yescharacteristic, complemented
181#380×C71C2211yescharacteristic, complemented
182#379×C71C2211yescharacteristic
183#379×C71C2211yescharacteristic
184#379×C71C2211yescharacteristic
185#379×C71C2211yescharacteristic
186C4×C22⋊C4×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×C71C2311yescharacteristic
203C23×C4×C71C2311yescharacteristic
204C23×C4×C71C2311yescharacteristic
205C23×C4×C71C2311yescharacteristic
206C23×C4×C71C2311yescharacteristic
207C23×C4×C71C2311yescharacteristic
208C23×C4×C71C2311yescharacteristic
209C23×C4×C71C2311yescharacteristic
210C23×C4×C71C2311yescharacteristic
211C23×C4×C71C2311yescharacteristic
212#126×C71—42no—
213#126×C71—42no—
214#125×C71—42no—
215#125×C71—42no—
216#123×C71—42no—
217#123×C71—42no—
218#123×C71—42no—
219#123×C71—42no—
220C22⋊Q8×C71—42no—
221C22⋊Q8×C71—42no—
222C22⋊Q8×C71—42no—
223#121×C71—42no—
224#121×C71—42no—
225#120×C71—24no—
226#120×C71—42no—
227C4×D4×C71—42no—
228C2×C4⋊C4×C71—42no—
229C2×C4⋊C4×C71C2311yescharacteristic
230C2×C4⋊C4×C71C2311yescharacteristic
231C2×C4⋊C4×C71C2311yescharacteristic
232C2×C4⋊C4×C71C2311yescharacteristic
233C2×C4⋊C4×C71C2311yescharacteristic
234C2×C4⋊C4×C71C2311yescharacteristic
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×C22⋊C4×C71—24no—
264C2×C22⋊C4×C71—42no—
265C2×C22⋊C4×C71—42no—
266C2×C22⋊C4×C71—42no—
267C2×C22⋊C4×C71—42no—
268C2×C22⋊C4×C71—42no—
269C2×C22⋊C4×C71C2311yescharacteristic
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×C22⋊C4×C71C2311yescharacteristic
323C2×C22⋊C4×C71C2311yescharacteristic
324C2×C22⋊C4×C71C2311yescharacteristic
325C2×C42×C71—42no—
326C2×C42×C71C2311yescharacteristic
327C2×C42×C71C2311yescharacteristic
328C2×C42×C71C2311yescharacteristic
329C2×C42×C71C2311yescharacteristic
330C2×C42×C71C2311yescharacteristic
331C2×C42×C71C2311yescharacteristic
332C2×C42×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—41no—
375C24×C71—41no—
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—41no—
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—41no—
406C2×D4×C71—41no—
407C2×D4×C71—41no—
408C2×D4×C71—41no—
409C2×D4×C71—416no—
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—41no—
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—41no—
431C22×C4×C71—41no—
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×C71C2411yescharacteristic
451C22×C4×C71C2411yescharacteristic
452C22×C4×C71C2411yescharacteristic
453C22×C4×C71C2411yescharacteristic
454C22×C4×C71C2411yescharacteristic
455C22×C4×C71C2411yescharacteristic
456C22×C4×C71C2411yescharacteristic
457C22×C4×C71C2411yescharacteristic
458C22×C4×C71C2411yescharacteristic
459C22×C4×C71C2411yescharacteristic
460C22×C4×C71C2411yescharacteristic
461C22×C4×C71C2411yescharacteristic
462C22×C4×C71C2411yescharacteristic
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
475C4⋊C4×C71—22no—
476C4⋊C4×C71—22no—
477C4⋊C4×C71—22no—
478C4⋊C4×C71—22no—
479C4⋊C4×C71—22no—
480C4⋊C4×C71—22no—
481C4⋊C4×C71—22no—
482C4⋊C4×C71—22no—
483C4⋊C4×C71—22no—
484C4⋊C4×C71—22no—
485C4⋊C4×C71—22no—
486C4⋊C4×C71—41no—
487C4⋊C4×C71—41no—
488C4⋊C4×C71—41no—
489C4⋊C4×C71—41no—
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—
509C22⋊C4×C71—22no—
510C22⋊C4×C71—22no—
511C22⋊C4×C71—22no—
512C22⋊C4×C71—22no—
513C22⋊C4×C71—22no—
514C22⋊C4×C71—22no—
515C22⋊C4×C71—22no—
516C22⋊C4×C71—22no—
517C22⋊C4×C71—22no—
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—41no—
528C22⋊C4×C71—41no—
529C22⋊C4×C71—41no—
530C22⋊C4×C71—41no—
531C22⋊C4×C71—41no—
532C22⋊C4×C71—41no—
533C22⋊C4×C71—41no—
534C22⋊C4×C71—41no—
535C22⋊C4×C71—41no—
536C22⋊C4×C71—41no—
537C22⋊C4×C71—41no—
538C22⋊C4×C71—41no—
539C22⋊C4×C71—41no—
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—
565C42×C71—22no—
566C42×C71—22no—
567C42×C71—41no—
568C42×C71—41no—
569C42×C71—41no—
570C42×C71—41no—
571C42×C71—41no—
572C23×C71—21no—
573C23×C71—21no—
574C23×C71—21no—
575C23×C71—21no—
576C23×C71—21no—
577C23×C71—21no—
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—28no—
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—21no—
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—82no—
616C23×C71—82no—
617C23×C71—82no—
618C23×C71—82no—
619C23×C71—82no—
620C23×C71—82no—
621C23×C71—82no—
622C23×C71—82no—
623C23×C71C2×#4112yes—
624C23×C71C2×#4112yes—
625C23×C71C2×#4112yes—
626C23×C71H(5,𝔽2)12yes—
627C23×C712−1+412yes—
628C23×C71C2511yescharacteristic
629Q8×C71—82no—
630D4×C71—44no—
631D4×C71—44no—
632D4×C71—44no—
633D4×C71—44no—
634D4×C71—44no—
635D4×C71—82no—
636D4×C71—82no—
637D4×C71—82no—
638D4×C71—82no—
639C2×C4×C71—28no—
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—44no—
713C2×C4×C71—44no—
714C2×C4×C71—82no—
715C2×C4×C71—82no—
716C2×C4×C71—82no—
717C2×C4×C71—82no—
718C2×C4×C71—82no—
719C2×C4×C71—82no—
720C2×C4×C71—82no—
721C2×C4×C71H(5,𝔽2)12yes—
722C2×C4×C71H(5,𝔽2)12yes—
723C2×C4×C71H(5,𝔽2)12yes—
724C22×C71—22no—
725C22×C71—22no—
726C22×C71—22no—
727C22×C71—22no—
728C22×C71—22no—
729C22×C71—22no—
730C22×C71—22no—
731C22×C71—22no—
732C22×C71—22no—
733C22×C71—22no—
734C22×C71—22no—
735C22×C71—22no—
736C22×C71—41no—
737C22×C71—41no—
738C22×C71—41no—
739C22×C71—41no—
740C22×C71—41no—
741C22×C71—41no—
742C22×C71—41no—
743C22×C71—41no—
744C22×C71—41no—
745C22×C71—41no—
746C22×C71—41no—
747C22×C71—41no—
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—88no—
766C22×C71—88no—
767C22×C71#53914yes—
768C22×C71C22×#4111yescharacteristic
769C22×C71C2×H(5,𝔽2)11yescharacteristic
770C22×C71C2×H(5,𝔽2)11yescharacteristic
771C22×C71C2×H(5,𝔽2)11yescharacteristic
772C22×C71C2×H(5,𝔽2)11yescharacteristic
773C22×C71C2×2−1+411yescharacteristic
774C22×C71#58511yescharacteristic
775C4×C71—22no—
776C4×C71—22no—
777C4×C71—22no—
778C4×C71—41no—
779C4×C71—41no—
780C4×C71—41no—
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—
800#36807C7111yesmaximal, characteristic, direct product factor, Sylow
801C2×C71—24no—
802C2×C71—42no—
803C2×C71—42no—
804C2×C71—81no—
805C2×C71—81no—
806C2×C71—81no—
807C2×C71C2×#53911yescharacteristic
808C2×C71#349011yescharacteristic
809C2×C71#350511yescharacteristic
810C2×C71#353611yescharacteristic
811C2×C71#354211yescharacteristic
812C2×C71#354311yescharacteristic
813C2×C71#356111yescharacteristic
814#2852C2×C7111yescharacteristic, complemented
815#2851C2×C7111yescharacteristic, complemented
816#2796C2×C7111yescharacteristic, complemented
817#2786C2×C7111yescharacteristic, complemented
818#2757C2×C7111yescharacteristic, complemented
819#2740C2×C7111yescharacteristic, complemented
820#2737C2×C7111yescharacteristic, complemented
821#2723C2×C7111yescharacteristic, complemented
822#2711C2×C7111yescharacteristic, complemented
823#2711C2×C7111yescharacteristic, complemented
824#2707C2×C7111yescharacteristic, complemented
825#2706C2×C7111yescharacteristic, complemented
826#2705C2×C7111yescharacteristic, complemented
827#2705C2×C7111yescharacteristic, complemented
828#2696C2×C7111yescharacteristic, complemented
829#2694C2×C7111yescharacteristic, complemented
830#2691C2×C7111yescharacteristic, complemented
831#2681C2×C7111yescharacteristic, complemented
832#2626C2×C7111yescharacteristic, complemented
833#2622C2×C7111yescharacteristic, complemented
834#2480C2×C7111yescharacteristic, complemented
835#2473C2×C7111yescharacteristic, complemented
836#2449C2×C7111yescharacteristic, complemented
837#2437C2×C7111yescharacteristic, complemented
838#2418C2×C7111yescharacteristic, complemented
839#2412C2×C7111yescharacteristic, complemented
840#2410C2×C7111yescharacteristic
841#2405C2×C7111yescharacteristic, complemented
842#2321C2×C7111yescharacteristic, complemented
843#2315C2×C7111yescharacteristic, complemented
844C2×#390C2×C7111yescharacteristic, complemented
845C71#3680711yescharacteristic, direct product factor, Sylow
846C23×D4C22×C7111yescharacteristic
847C2×#126C22×C7111yescharacteristic, complemented
848C2×#126C22×C7111yescharacteristic, complemented
849C2×#125C22×C7111yescharacteristic, complemented
850C2×#125C22×C7111yescharacteristic, complemented
851C2×#123C22×C7111yescharacteristic
852C2×#123C22×C7111yescharacteristic
853C2×#123C22×C7111yescharacteristic, complemented
854C2×#123C22×C7111yescharacteristic, complemented
855C2×C22⋊Q8C22×C7111yescharacteristic
856C2×C22⋊Q8C22×C7111yescharacteristic, complemented
857C2×C22⋊Q8C22×C7111yescharacteristic, complemented
858C2×#121C22×C7111yescharacteristic
859C2×#121C22×C7111yescharacteristic
860C2×#120C22×C7111yescharacteristic
861C2×#120C22×C7111yescharacteristic
862C2×C4×D4C22×C7111yescharacteristic
863C22×C4⋊C4C22×C7111yescharacteristic
864C22×C22⋊C4C22×C7111yescharacteristic
865C22×C22⋊C4C22×C7111yescharacteristic
866C22×C22⋊C4C22×C7111yescharacteristic
867C22×C22⋊C4C22×C7111yescharacteristic
868C22×C22⋊C4C22×C7111yescharacteristic
869C22×C22⋊C4C22×C7111yescharacteristic
870C22×C42C22×C7111yescharacteristic
871#400C22×C7111yescharacteristic, complemented
872#399C22×C7111yescharacteristic, complemented
873#399C22×C7111yescharacteristic, complemented
874#399C22×C7111yescharacteristic, complemented
875#399C22×C7111yescharacteristic, complemented
876#399C22×C7111yescharacteristic, complemented
877#398C22×C7111yescharacteristic, complemented
878#398C22×C7111yescharacteristic, complemented
879#398C22×C7111yescharacteristic, complemented
880#398C22×C7111yescharacteristic, complemented
881#397C22×C7111yescharacteristic, complemented
882#397C22×C7111yescharacteristic, complemented
883#397C22×C7111yescharacteristic, complemented
884#397C22×C7111yescharacteristic, complemented
885#397C22×C7111yescharacteristic, complemented
886#397C22×C7111yescharacteristic, complemented
887#397C22×C7111yescharacteristic, complemented
888#397C22×C7111yescharacteristic, complemented
889#397C22×C7111yescharacteristic, complemented
890#397C22×C7111yescharacteristic, complemented
891#396C22×C7111yescharacteristic, complemented
892#396C22×C7111yescharacteristic, complemented
893#396C22×C7111yescharacteristic, complemented
894#396C22×C7111yescharacteristic, complemented
895#396C22×C7111yescharacteristic, complemented
896#396C22×C7111yescharacteristic, complemented
897#396C22×C7111yescharacteristic, complemented
898#396C22×C7111yescharacteristic, complemented
899#395C22×C7111yescharacteristic, complemented
900#394C22×C7111yescharacteristic
901#394C22×C7111yescharacteristic
902#394C22×C7111yescharacteristic
903#394C22×C7111yescharacteristic
904#394C22×C7111yescharacteristic
905#394C22×C7111yescharacteristic
906#394C22×C7111yescharacteristic, complemented
907#394C22×C7111yescharacteristic, complemented
908#394C22×C7111yescharacteristic, complemented
909#394C22×C7111yescharacteristic, complemented
910#394C22×C7111yescharacteristic, complemented
911#394C22×C7111yescharacteristic, complemented
912#394C22×C7111yescharacteristic, complemented
913#394C22×C7111yescharacteristic, complemented
914#393C22×C7111yescharacteristic, complemented
915#393C22×C7111yescharacteristic, complemented
916#393C22×C7111yescharacteristic, complemented
917#392C22×C7111yescharacteristic
918#392C22×C7111yescharacteristic
919#390C22×C7111yescharacteristic
920#390C22×C7111yescharacteristic
921#390C22×C7111yescharacteristic
922#390C22×C7111yescharacteristic
923#390C22×C7111yescharacteristic
924#390C22×C7111yescharacteristic
925#390C22×C7111yescharacteristic
926#390C22×C7111yescharacteristic
927#390C22×C7111yescharacteristic, complemented
928#390C22×C7111yescharacteristic, complemented
929#389C22×C7111yescharacteristic, complemented
930#389C22×C7111yescharacteristic, complemented
931#389C22×C7111yescharacteristic, complemented
932#389C22×C7111yescharacteristic, complemented
933#388C22×C7111yescharacteristic, complemented
934#388C22×C7111yescharacteristic, complemented
935#388C22×C7111yescharacteristic, complemented
936#388C22×C7111yescharacteristic, complemented
937#388C22×C7111yescharacteristic, complemented
938#388C22×C7111yescharacteristic, complemented
939#388C22×C7111yescharacteristic, complemented
940#388C22×C7111yescharacteristic, complemented
941#388C22×C7111yescharacteristic, complemented
942#388C22×C7111yescharacteristic, complemented
943#388C22×C7111yescharacteristic, complemented
944#388C22×C7111yescharacteristic, complemented
945#387C22×C7111yescharacteristic, complemented
946#387C22×C7111yescharacteristic, complemented
947#387C22×C7111yescharacteristic, complemented
948#387C22×C7111yescharacteristic, complemented
949#387C22×C7111yescharacteristic, complemented
950#387C22×C7111yescharacteristic, complemented
951#387C22×C7111yescharacteristic, complemented
952#387C22×C7111yescharacteristic, complemented
953#387C22×C7111yescharacteristic, complemented
954#387C22×C7111yescharacteristic, complemented
955#386C22×C7111yescharacteristic
956#386C22×C7111yescharacteristic
957#386C22×C7111yescharacteristic
958#386C22×C7111yescharacteristic
959#386C22×C7111yescharacteristic
960#386C22×C7111yescharacteristic
961#386C22×C7111yescharacteristic
962#386C22×C7111yescharacteristic
963#386C22×C7111yescharacteristic, complemented
964#386C22×C7111yescharacteristic, complemented
965#386C22×C7111yescharacteristic, complemented
966#386C22×C7111yescharacteristic, complemented
967#385C22×C7111yescharacteristic
968#385C22×C7111yescharacteristic
969#385C22×C7111yescharacteristic
970#385C22×C7111yescharacteristic
971#385C22×C7111yescharacteristic
972#385C22×C7111yescharacteristic
973#385C22×C7111yescharacteristic
974#385C22×C7111yescharacteristic
975#385C22×C7111yescharacteristic
976#385C22×C7111yescharacteristic
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#385C22×C7111yescharacteristic, complemented
985#383C22×C7111yescharacteristic, complemented
986#382C22×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#379C22×C7111yescharacteristic
997#379C22×C7111yescharacteristic
998#379C22×C7111yescharacteristic
999#379C22×C7111yescharacteristic
1000C4×C22⋊C4C22×C7111yescharacteristic
1001C25C23×C7111yescharacteristic
1002C25C23×C7111yescharacteristic
1003C22×Q8C23×C7111yescharacteristic
1004C22×D4—24no—
1005C22×D4—42no—
1006C22×D4—42no—
1007C22×D4C23×C7111yescharacteristic
1008C22×D4C23×C7111yescharacteristic
1009C22×D4C23×C7111yescharacteristic
1010C22×D4C23×C7111yescharacteristic
1011C22×D4C23×C7111yescharacteristic
1012C22×D4C23×C7111yescharacteristic
1013C22×D4C23×C7111yescharacteristic
1014C22×D4C23×C7111yescharacteristic
1015C22×D4C23×C7111yescharacteristic
1016C23×C4C23×C7111yescharacteristic
1017C23×C4C23×C7111yescharacteristic
1018C23×C4C23×C7111yescharacteristic
1019C23×C4C23×C7111yescharacteristic
1020C23×C4C23×C7111yescharacteristic
1021C23×C4C23×C7111yescharacteristic
1022C23×C4C23×C7111yescharacteristic
1023C23×C4C23×C7111yescharacteristic
1024C23×C4C23×C7111yescharacteristic
1025C23×C4C23×C7111yescharacteristic
1026#126—42no—
1027#126—42no—
1028#125—42no—
1029#125—42no—
1030#123—42no—
1031#123—42no—
1032#123—42no—
1033#123—42no—
1034C22⋊Q8—42no—
1035C22⋊Q8—42no—
1036C22⋊Q8—42no—
1037#121—42no—
1038#121—42no—
1039#120—24no—
1040#120—42no—
1041C4×D4—42no—
1042C2×C4⋊C4—42no—
1043C2×C4⋊C4C23×C7111yescharacteristic
1044C2×C4⋊C4C23×C7111yescharacteristic
1045C2×C4⋊C4C23×C7111yescharacteristic
1046C2×C4⋊C4C23×C7111yescharacteristic
1047C2×C4⋊C4C23×C7111yescharacteristic
1048C2×C4⋊C4C23×C7111yescharacteristic
1049C2×C4⋊C4C23×C7111yescharacteristic
1050C2×C4⋊C4C23×C7111yescharacteristic
1051C2×C4⋊C4C23×C7111yescharacteristic
1052C2×C4⋊C4C23×C7111yescharacteristic
1053C2×C4⋊C4C23×C7111yescharacteristic
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×C22⋊C4—24no—
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4—42no—
1080C2×C22⋊C4—42no—
1081C2×C22⋊C4—42no—
1082C2×C22⋊C4—42no—
1083C2×C22⋊C4C23×C7111yescharacteristic
1084C2×C22⋊C4C23×C7111yescharacteristic
1085C2×C22⋊C4C23×C7111yescharacteristic
1086C2×C22⋊C4C23×C7111yescharacteristic
1087C2×C22⋊C4C23×C7111yescharacteristic
1088C2×C22⋊C4C23×C7111yescharacteristic
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×C42—42no—
1140C2×C42C23×C7111yescharacteristic
1141C2×C42C23×C7111yescharacteristic
1142C2×C42C23×C7111yescharacteristic
1143C2×C42C23×C7111yescharacteristic
1144C2×C42C23×C7111yescharacteristic
1145C2×C42C23×C7111yescharacteristic
1146C2×C42C23×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
1183C24—22no—
1184C24—22no—
1185C24—22no—
1186C24—22no—
1187C24—22no—
1188C24—41no—
1189C24—41no—
1190C24—41no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—41no—
1196C24#41×C7114yes—
1197C24C24×C7111yescharacteristic
1198C24C24×C7111yescharacteristic
1199C24C24×C7111yescharacteristic
1200C24C24×C7111yescharacteristic
1201C24C24×C7111yescharacteristic
1202C24C24×C7111yescharacteristic
1203C2×Q8—41no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—22no—
1210C2×D4—22no—
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—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—41no—
1227C2×D4—41no—
1228C2×D4—41no—
1229C2×D4—41no—
1230C2×D4—41no—
1231C2×D4—41no—
1232C2×D4—41no—
1233C2×D4—41no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—41no—
1250C22×C4—41no—
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×C4C24×C7111yescharacteristic
1265C22×C4C24×C7111yescharacteristic
1266C22×C4C24×C7111yescharacteristic
1267C22×C4C24×C7111yescharacteristic
1268C22×C4C24×C7111yescharacteristic
1269C22×C4C24×C7111yescharacteristic
1270C22×C4C24×C7111yescharacteristic
1271C22×C4C24×C7111yescharacteristic
1272C22×C4C24×C7111yescharacteristic
1273C22×C4C24×C7111yescharacteristic
1274C22×C4C24×C7111yescharacteristic
1275C22×C4C24×C7111yescharacteristic
1276C22×C4C24×C7111yescharacteristic
1277C22×C4C24×C7111yescharacteristic
1278C22×C4C24×C7111yescharacteristic
1279C22×C4C24×C7111yescharacteristic
1280C22×C4C24×C7111yescharacteristic
1281C22×C4C24×C7111yescharacteristic
1282C22×C4C24×C7111yescharacteristic
1283C22×C4C24×C7111yescharacteristic
1284C22×C4C24×C7111yescharacteristic
1285C22×C4C24×C7111yescharacteristic
1286C22×C4C24×C7111yescharacteristic
1287C22×C4C24×C7111yescharacteristic
1288C22×C4C24×C7111yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—41no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—41no—
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—
1323C22⋊C4—22no—
1324C22⋊C4—22no—
1325C22⋊C4—22no—
1326C22⋊C4—22no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—22no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—41no—
1354C22⋊C4—41no—
1355C22⋊C4—41no—
1356C22⋊C4—41no—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
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—
1379C42—22no—
1380C42—22no—
1381C42—41no—
1382C42—41no—
1383C42—41no—
1384C42—41no—
1385C42—41no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—28no—
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—21no—
1422C23—21no—
1423C23—21no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—82no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—82no—
1435C23—82no—
1436C23—82no—
1437C23C2×#41×C7112yes—
1438C23C2×#41×C7112yes—
1439C23C2×#41×C7112yes—
1440C23H(5,𝔽2)×C7112yes—
1441C232−1+4×C7112yes—
1442C23C25×C7111yescharacteristic
1443Q8—82no—
1444D4—44no—
1445D4—44no—
1446D4—44no—
1447D4—44no—
1448D4—44no—
1449D4—82no—
1450D4—82no—
1451D4—82no—
1452D4—82no—
1453C2×C4—28no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
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—44no—
1527C2×C4—44no—
1528C2×C4—82no—
1529C2×C4—82no—
1530C2×C4—82no—
1531C2×C4—82no—
1532C2×C4—82no—
1533C2×C4—82no—
1534C2×C4—82no—
1535C2×C4H(5,𝔽2)×C7112yes—
1536C2×C4H(5,𝔽2)×C7112yes—
1537C2×C4H(5,𝔽2)×C7112yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
1541C22—22no—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
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—88no—
1580C22—88no—
1581C22#539×C7114yes—
1582C22C22×#41×C7111yescharacteristic
1583C22C2×H(5,𝔽2)×C7111yescharacteristic
1584C22C2×H(5,𝔽2)×C7111yescharacteristic
1585C22C2×H(5,𝔽2)×C7111yescharacteristic
1586C22C2×H(5,𝔽2)×C7111yescharacteristic
1587C22C2×2−1+4×C7111yescharacteristic
1588C22#585×C7111yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
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—
1614C2—24no—
1615C2—42no—
1616C2—42no—
1617C2—81no—
1618C2—81no—
1619C2—81no—
1620C2C2×#539×C7111yescharacteristic
1621C2C71×#349011yescharacteristic
1622C2C71×#350511yescharacteristic
1623C2C71×#353611yescharacteristic
1624C2C71×#354211yescharacteristic
1625C2C71×#354311yescharacteristic
1626C2C71×#356111yescharacteristic
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×#2852C2semidirect
2. C71×#2851C2semidirect
3. C71×#2796C2semidirect
4. C71×#2786C2semidirect
5. C71×#2757C2semidirect
6. C71×#2740C2semidirect
7. C71×#2737C2semidirect
8. C71×#2723C2semidirect
9. C71×#2711C2semidirect
10. C71×#2711C2semidirect
11. C71×#2707C2semidirect
12. C71×#2706C2semidirect
13. C71×#2705C2semidirect
14. C71×#2705C2semidirect
15. C71×#2696C2semidirect
16. C71×#2694C2semidirect
17. C71×#2691C2semidirect
18. C71×#2681C2semidirect
19. C71×#2626C2semidirect
20. C71×#2622C2semidirect
21. C71×#2480C2semidirect
22. C71×#2473C2semidirect
23. C71×#2449C2semidirect
24. C71×#2437C2semidirect
25. C71×#2418C2semidirect
26. C71×#2412C2semidirect
28. C71×#2405C2semidirect
29. C71×#2321C2semidirect
30. C71×#2315C2semidirect
31. C2×#390×C71C2semidirect
33. C2×#126×C71C22semidirect
34. C2×#126×C71C22semidirect
35. C2×#125×C71C22semidirect
36. C2×#125×C71C22semidirect
39. C2×#123×C71C22semidirect
40. C2×#123×C71C22semidirect
42. C2×C22⋊Q8×C71C22semidirect
43. C2×C22⋊Q8×C71C22semidirect
57. #400×C71C22semidirect
58. #399×C71C22semidirect
59. #399×C71C22semidirect
60. #399×C71C22semidirect
61. #399×C71C22semidirect
62. #399×C71C22semidirect
63. #398×C71C22semidirect
64. #398×C71C22semidirect
65. #398×C71C22semidirect
66. #398×C71C22semidirect
67. #397×C71C22semidirect
68. #397×C71C22semidirect
69. #397×C71C22semidirect
70. #397×C71C22semidirect
71. #397×C71C22semidirect
72. #397×C71C22semidirect
73. #397×C71C22semidirect
74. #397×C71C22semidirect
75. #397×C71C22semidirect
76. #397×C71C22semidirect
77. #396×C71C22semidirect
78. #396×C71C22semidirect
79. #396×C71C22semidirect
80. #396×C71C22semidirect
81. #396×C71C22semidirect
82. #396×C71C22semidirect
83. #396×C71C22semidirect
84. #396×C71C22semidirect
85. #395×C71C22semidirect
92. #394×C71C22semidirect
93. #394×C71C22semidirect
94. #394×C71C22semidirect
95. #394×C71C22semidirect
96. #394×C71C22semidirect
97. #394×C71C22semidirect
98. #394×C71C22semidirect
99. #394×C71C22semidirect
100. #393×C71C22semidirect
101. #393×C71C22semidirect
102. #393×C71C22semidirect
113. #390×C71C22semidirect
114. #390×C71C22semidirect
115. #389×C71C22semidirect
116. #389×C71C22semidirect
117. #389×C71C22semidirect
118. #389×C71C22semidirect
119. #388×C71C22semidirect
120. #388×C71C22semidirect
121. #388×C71C22semidirect
122. #388×C71C22semidirect
123. #388×C71C22semidirect
124. #388×C71C22semidirect
125. #388×C71C22semidirect
126. #388×C71C22semidirect
127. #388×C71C22semidirect
128. #388×C71C22semidirect
129. #388×C71C22semidirect
130. #388×C71C22semidirect
131. #387×C71C22semidirect
132. #387×C71C22semidirect
133. #387×C71C22semidirect
134. #387×C71C22semidirect
135. #387×C71C22semidirect
136. #387×C71C22semidirect
137. #387×C71C22semidirect
138. #387×C71C22semidirect
139. #387×C71C22semidirect
140. #387×C71C22semidirect
149. #386×C71C22semidirect
150. #386×C71C22semidirect
151. #386×C71C22semidirect
152. #386×C71C22semidirect
163. #385×C71C22semidirect
164. #385×C71C22semidirect
165. #385×C71C22semidirect
166. #385×C71C22semidirect
167. #385×C71C22semidirect
168. #385×C71C22semidirect
169. #385×C71C22semidirect
170. #385×C71C22semidirect
171. #383×C71C22semidirect
172. #382×C71C22semidirect
173. #381×C71C22semidirect
177. #380×C71C22semidirect
178. #380×C71C22semidirect
179. #380×C71C22semidirect
180. #380×C71C22semidirect
181. #380×C71C22semidirect
800. #36807C71direct (N × H)
814. #2852C2×C71semidirect
815. #2851C2×C71semidirect
816. #2796C2×C71semidirect
817. #2786C2×C71semidirect
818. #2757C2×C71semidirect
819. #2740C2×C71semidirect
820. #2737C2×C71semidirect
821. #2723C2×C71semidirect
822. #2711C2×C71semidirect
823. #2711C2×C71semidirect
824. #2707C2×C71semidirect
825. #2706C2×C71semidirect
826. #2705C2×C71semidirect
827. #2705C2×C71semidirect
828. #2696C2×C71semidirect
829. #2694C2×C71semidirect
830. #2691C2×C71semidirect
831. #2681C2×C71semidirect
832. #2626C2×C71semidirect
833. #2622C2×C71semidirect
834. #2480C2×C71semidirect
835. #2473C2×C71semidirect
836. #2449C2×C71semidirect
837. #2437C2×C71semidirect
838. #2418C2×C71semidirect
839. #2412C2×C71semidirect
841. #2405C2×C71semidirect
842. #2321C2×C71semidirect
843. #2315C2×C71semidirect
844. C2×#390C2×C71semidirect
845. C71#36807direct (N × H)
847. C2×#126C22×C71semidirect
848. C2×#126C22×C71semidirect
849. C2×#125C22×C71semidirect
850. C2×#125C22×C71semidirect
853. C2×#123C22×C71semidirect
854. C2×#123C22×C71semidirect
856. C2×C22⋊Q8C22×C71semidirect
857. C2×C22⋊Q8C22×C71semidirect
871. #400C22×C71semidirect
872. #399C22×C71semidirect
873. #399C22×C71semidirect
874. #399C22×C71semidirect
875. #399C22×C71semidirect
876. #399C22×C71semidirect
877. #398C22×C71semidirect
878. #398C22×C71semidirect
879. #398C22×C71semidirect
880. #398C22×C71semidirect
881. #397C22×C71semidirect
882. #397C22×C71semidirect
883. #397C22×C71semidirect
884. #397C22×C71semidirect
885. #397C22×C71semidirect
886. #397C22×C71semidirect
887. #397C22×C71semidirect
888. #397C22×C71semidirect
889. #397C22×C71semidirect
890. #397C22×C71semidirect
891. #396C22×C71semidirect
892. #396C22×C71semidirect
893. #396C22×C71semidirect
894. #396C22×C71semidirect
895. #396C22×C71semidirect
896. #396C22×C71semidirect
897. #396C22×C71semidirect
898. #396C22×C71semidirect
899. #395C22×C71semidirect
906. #394C22×C71semidirect
907. #394C22×C71semidirect
908. #394C22×C71semidirect
909. #394C22×C71semidirect
910. #394C22×C71semidirect
911. #394C22×C71semidirect
912. #394C22×C71semidirect
913. #394C22×C71semidirect
914. #393C22×C71semidirect
915. #393C22×C71semidirect
916. #393C22×C71semidirect
927. #390C22×C71semidirect
928. #390C22×C71semidirect
929. #389C22×C71semidirect
930. #389C22×C71semidirect
931. #389C22×C71semidirect
932. #389C22×C71semidirect
933. #388C22×C71semidirect
934. #388C22×C71semidirect
935. #388C22×C71semidirect
936. #388C22×C71semidirect
937. #388C22×C71semidirect
938. #388C22×C71semidirect
939. #388C22×C71semidirect
940. #388C22×C71semidirect
941. #388C22×C71semidirect
942. #388C22×C71semidirect
943. #388C22×C71semidirect
944. #388C22×C71semidirect
945. #387C22×C71semidirect
946. #387C22×C71semidirect
947. #387C22×C71semidirect
948. #387C22×C71semidirect
949. #387C22×C71semidirect
950. #387C22×C71semidirect
951. #387C22×C71semidirect
952. #387C22×C71semidirect
953. #387C22×C71semidirect
954. #387C22×C71semidirect
963. #386C22×C71semidirect
964. #386C22×C71semidirect
965. #386C22×C71semidirect
966. #386C22×C71semidirect
977. #385C22×C71semidirect
978. #385C22×C71semidirect
979. #385C22×C71semidirect
980. #385C22×C71semidirect
981. #385C22×C71semidirect
982. #385C22×C71semidirect
983. #385C22×C71semidirect
984. #385C22×C71semidirect
985. #383C22×C71semidirect
986. #382C22×C71semidirect
987. #381C22×C71semidirect
991. #380C22×C71semidirect
992. #380C22×C71semidirect
993. #380C22×C71semidirect
994. #380C22×C71semidirect
995. #380C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#28522
C71×#28512
C71×#27962
C71×#27862
C71×#27572
C71×#27402
C71×#27372
C71×#27232
C71×#27112
C71×#27072
C71×#27062
C71×#27052
C71×#26962
C71×#26942
C71×#26912
C71×#26812
C71×#26262
C71×#26222
C71×#24802
C71×#24732
C71×#24492
C71×#24372
C71×#24182
C71×#24122
C71×#24102
C71×#24052
C71×#23212
C71×#23152
C2×#390×C712
#3680771