Finite Group Databasebeta

← C71×#36776 #31857648

Subgroups — C71×#36776 #31857648

Order 18176.

2454 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#2849C211yesmaximal, characteristic, complemented
2C71×#2847C211yesmaximal, characteristic, complemented
3C71×#2778C211yesmaximal, characteristic, complemented
4C71×#2778C211yesmaximal, characteristic, complemented
5C71×#2760C211yesmaximal, characteristic, complemented
6C71×#2750C211yesmaximal, characteristic, complemented
7C71×#2749C211yesmaximal, characteristic, complemented
8C71×#2749C211yesmaximal, characteristic, complemented
9C71×#2743C211yesmaximal, characteristic, complemented
10C71×#2703C211yesmaximal, characteristic, complemented
11C71×#2697C211yesmaximal, characteristic, complemented
12C71×#2696C211yesmaximal, characteristic, complemented
13C71×#2688C211yesmaximal, characteristic, complemented
14C71×#2688C211yesmaximal, characteristic, complemented
15C71×#2684C211yesmaximal, characteristic, complemented
16C71×#2678C211yesmaximal, characteristic, complemented
17C71×#2676C211yesmaximal, characteristic, complemented
18C71×#2668C211yesmaximal, characteristic, complemented
19C71×#2643C211yesmaximal, characteristic, complemented
20C71×#2639C211yesmaximal, characteristic, complemented
21C71×#2510C211yesmaximal, characteristic, complemented
22C71×#2472C211yesmaximal, characteristic, complemented
23C71×#2444C211yesmaximal, characteristic, complemented
24C71×#2437C211yesmaximal, characteristic, complemented
25C71×#2424C211yesmaximal, characteristic, complemented
26C71×#2410C211yesmaximal, characteristic, complemented
27C71×#2410C211yesmaximal, characteristic, complemented
28C71×#2403C211yesmaximal, characteristic, complemented
29C71×#2321C211yesmaximal, characteristic, complemented
30C71×#2308C211yesmaximal, characteristic, complemented
31C2×#386×C71C211yesmaximal, characteristic, complemented
32C23×D4×C71C2211yescharacteristic
33C23×D4×C71C2211yescharacteristic
34C24×C4×C71C2211yescharacteristic, complemented
35C2×#124×C71C2211yescharacteristic, complemented
36C2×#123×C71C2211yescharacteristic, complemented
37C2×#123×C71C2211yescharacteristic, complemented
38C2×C22⋊Q8×C71C2211yescharacteristic, complemented
39C2×C22⋊Q8×C71C2211yescharacteristic, complemented
40C2×#121×C71C2211yescharacteristic
41C2×#121×C71C2211yescharacteristic
42C2×#121×C71C2211yescharacteristic, complemented
43C2×#121×C71C2211yescharacteristic, complemented
44C2×#121×C71C2211yescharacteristic, complemented
45C2×#121×C71C2211yescharacteristic, complemented
46C2×#121×C71C2211yescharacteristic, complemented
47C2×#120×C71C2211yescharacteristic
48C2×#120×C71C2211yescharacteristic
49C2×#120×C71C2211yescharacteristic
50C2×#120×C71C2211yescharacteristic
51C2×#120×C71C2211yescharacteristic
52C2×#120×C71C2211yescharacteristic, complemented
53C2×#120×C71C2211yescharacteristic, complemented
54C2×C4×D4×C71C2211yescharacteristic, complemented
55C22×C22⋊C4×C71C2211yescharacteristic
56C22×C22⋊C4×C71C2211yescharacteristic
57C22×C22⋊C4×C71C2211yescharacteristic
58C22×C22⋊C4×C71C2211yescharacteristic, complemented
59#401×C71C2211yescharacteristic, complemented
60#401×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#400×C71C2211yescharacteristic, complemented
68#399×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#397×C71C2211yescharacteristic, complemented
78#397×C71C2211yescharacteristic, complemented
79#396×C71C2211yescharacteristic, complemented
80#396×C71C2211yescharacteristic, complemented
81#396×C71C2211yescharacteristic, complemented
82#396×C71C2211yescharacteristic, complemented
83#394×C71C2211yescharacteristic
84#394×C71C2211yescharacteristic
85#394×C71C2211yescharacteristic, complemented
86#394×C71C2211yescharacteristic, complemented
87#394×C71C2211yescharacteristic, complemented
88#394×C71C2211yescharacteristic, complemented
89#394×C71C2211yescharacteristic, complemented
90#394×C71C2211yescharacteristic, complemented
91#394×C71C2211yescharacteristic, complemented
92#394×C71C2211yescharacteristic, complemented
93#394×C71C2211yescharacteristic, complemented
94#393×C71C2211yescharacteristic, complemented
95#393×C71C2211yescharacteristic, complemented
96#393×C71C2211yescharacteristic, complemented
97#393×C71C2211yescharacteristic, complemented
98#392×C71C2211yescharacteristic
99#392×C71C2211yescharacteristic
100#392×C71C2211yescharacteristic
101#392×C71C2211yescharacteristic
102#392×C71C2211yescharacteristic
103#392×C71C2211yescharacteristic
104#392×C71C2211yescharacteristic, complemented
105#392×C71C2211yescharacteristic, complemented
106#392×C71C2211yescharacteristic, complemented
107#390×C71C2211yescharacteristic, complemented
108#390×C71C2211yescharacteristic, complemented
109#390×C71C2211yescharacteristic, complemented
110#390×C71C2211yescharacteristic, complemented
111#388×C71C2211yescharacteristic, complemented
112#388×C71C2211yescharacteristic, complemented
113#388×C71C2211yescharacteristic, complemented
114#388×C71C2211yescharacteristic, complemented
115#388×C71C2211yescharacteristic, complemented
116#388×C71C2211yescharacteristic, complemented
117#388×C71C2211yescharacteristic, complemented
118#388×C71C2211yescharacteristic, complemented
119#388×C71C2211yescharacteristic, complemented
120#388×C71C2211yescharacteristic, complemented
121#387×C71C2211yescharacteristic, complemented
122#387×C71C2211yescharacteristic, complemented
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
136#386×C71C2211yescharacteristic
137#386×C71C2211yescharacteristic, complemented
138#386×C71C2211yescharacteristic, complemented
139#386×C71C2211yescharacteristic, complemented
140#386×C71C2211yescharacteristic, complemented
141#386×C71C2211yescharacteristic, complemented
142#386×C71C2211yescharacteristic, complemented
143#386×C71C2211yescharacteristic, complemented
144#386×C71C2211yescharacteristic, complemented
145#386×C71C2211yescharacteristic, complemented
146#386×C71C2211yescharacteristic, complemented
147#386×C71C2211yescharacteristic, complemented
148#386×C71C2211yescharacteristic, complemented
149#386×C71C2211yescharacteristic, complemented
150#386×C71C2211yescharacteristic, complemented
151#386×C71C2211yescharacteristic, complemented
152#386×C71C2211yescharacteristic, complemented
153#386×C71C2211yescharacteristic, complemented
154#386×C71C2211yescharacteristic, complemented
155#386×C71C2211yescharacteristic, complemented
156#386×C71C2211yescharacteristic, complemented
157#386×C71C2211yescharacteristic, complemented
158#386×C71C2211yescharacteristic, complemented
159#386×C71C2211yescharacteristic, complemented
160#385×C71C2211yescharacteristic, complemented
161#385×C71C2211yescharacteristic, complemented
162#385×C71C2211yescharacteristic, complemented
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#383×C71C2211yescharacteristic, complemented
170#381×C71C2211yescharacteristic, complemented
171#381×C71C2211yescharacteristic, complemented
172#381×C71C2211yescharacteristic, complemented
173#381×C71C2211yescharacteristic, complemented
174#381×C71C2211yescharacteristic, complemented
175#380×C71C2211yescharacteristic, complemented
176#380×C71C2211yescharacteristic, complemented
177#380×C71C2211yescharacteristic, complemented
178#380×C71C2211yescharacteristic, complemented
179#379×C71C2211yescharacteristic
180#379×C71C2211yescharacteristic, complemented
181#379×C71C2211yescharacteristic, complemented
182#379×C71C2211yescharacteristic, complemented
183#379×C71C2211yescharacteristic, complemented
184C4×C22⋊C4×C71C2211yescharacteristic, complemented
185C2×#95×C71C2211yescharacteristic, complemented
186C2×#95×C71C2211yescharacteristic, complemented
187C25×C71C2311yescharacteristic
188C25×C71C2311yescharacteristic
189C25×C71C2311yescharacteristic
190C22×Q8×C71C2311yescharacteristic
191C22×D4×C71—24no—
192C22×D4×C71—24no—
193C22×D4×C71—42no—
194C22×D4×C71—42no—
195C22×D4×C71—42no—
196C22×D4×C71—42no—
197C22×D4×C71C2311yescharacteristic
198C22×D4×C71C2311yescharacteristic
199C22×D4×C71C2311yescharacteristic
200C22×D4×C71C2311yescharacteristic
201C22×D4×C71C2311yescharacteristic
202C22×D4×C71C2311yescharacteristic
203C22×D4×C71C2311yescharacteristic
204C22×D4×C71C2311yescharacteristic
205C22×D4×C71C2311yescharacteristic
206C22×D4×C71C2311yescharacteristic
207C22×D4×C71C2311yescharacteristic
208C22×D4×C71C2311yescharacteristic
209C22×D4×C71C2311yescharacteristic
210C22×D4×C71C2311yescharacteristic
211C22×D4×C71C2311yescharacteristic
212C22×D4×C71C2311yescharacteristic
213C22×D4×C71C2311yescharacteristic
214C22×D4×C71C2311yescharacteristic
215C22×D4×C71C2311yescharacteristic
216C23×C4×C71—42no—
217C23×C4×C71—42no—
218C23×C4×C71—42no—
219C23×C4×C71C2311yescharacteristic
220C23×C4×C71C2311yescharacteristic
221C23×C4×C71C2311yescharacteristic
222C23×C4×C71C2311yescharacteristic
223C23×C4×C71C2311yescharacteristic
224C23×C4×C71C2311yescharacteristic
225C23×C4×C71C2311yescharacteristic
226C23×C4×C71C2311yescharacteristic
227C23×C4×C71C2311yescharacteristic
228C23×C4×C71C2311yescharacteristic
229C23×C4×C71C2311yescharacteristic
230C23×C4×C71C2311yescharacteristic
231C23×C4×C71C2311yescharacteristic
232#124×C71—42no—
233#123×C71—42no—
234#123×C71—42no—
235C22⋊Q8×C71—42no—
236C22⋊Q8×C71—42no—
237#121×C71—42no—
238#121×C71—42no—
239#121×C71—42no—
240#121×C71—42no—
241#121×C71—42no—
242#121×C71—42no—
243#121×C71—42no—
244#120×C71—24no—
245#120×C71—42no—
246#120×C71—42no—
247#120×C71—42no—
248#120×C71—42no—
249#120×C71—42no—
250#120×C71—42no—
251C4×D4×C71—42no—
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×C4⋊C4×C71C2311yescharacteristic
266C2×C4⋊C4×C71C2311yescharacteristic
267C2×C4⋊C4×C71C2311yescharacteristic
268C2×C22⋊C4×C71—42no—
269C2×C22⋊C4×C71—42no—
270C2×C22⋊C4×C71—42no—
271C2×C22⋊C4×C71—42no—
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×C22⋊C4×C71C2311yescharacteristic
326C2×C22⋊C4×C71C2311yescharacteristic
327C2×C22⋊C4×C71C2311yescharacteristic
328C2×C22⋊C4×C71C2311yescharacteristic
329C2×C22⋊C4×C71C2311yescharacteristic
330C2×C22⋊C4×C71C2311yescharacteristic
331C2×C22⋊C4×C71C2311yescharacteristic
332C2×C42×C71C2311yescharacteristic
333C2×C42×C71C2311yescharacteristic
334C2×C42×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
369#95×C71C2311yescharacteristic
370#95×C71C2311yescharacteristic
371#95×C71C2311yescharacteristic
372#95×C71C2311yescharacteristic
373#95×C71C2311yescharacteristic
374#95×C71C2311yescharacteristic
375C24×C71—22no—
376C24×C71—22no—
377C24×C71—22no—
378C24×C71—22no—
379C24×C71—22no—
380C24×C71—22no—
381C24×C71—22no—
382C24×C71—22no—
383C24×C71—41no—
384C24×C71—41no—
385C24×C71—41no—
386C24×C71—41no—
387C24×C71—41no—
388C24×C71—41no—
389C24×C71—41no—
390C24×C71—41no—
391C24×C71—41no—
392C24×C71—41no—
393C24×C71—41no—
394C24×C71—41no—
395C24×C71#4114yes—
396C24×C71C2411yescharacteristic
397C24×C71C2411yescharacteristic
398C24×C71C2411yescharacteristic
399C24×C71C2411yescharacteristic
400C24×C71C2411yescharacteristic
401C24×C71C2411yescharacteristic
402C24×C71C2411yescharacteristic
403C24×C71C2411yescharacteristic
404C2×Q8×C71—41no—
405C2×Q8×C71—41no—
406C2×Q8×C71—41no—
407C2×D4×C71—22no—
408C2×D4×C71—22no—
409C2×D4×C71—22no—
410C2×D4×C71—22no—
411C2×D4×C71—22no—
412C2×D4×C71—22no—
413C2×D4×C71—22no—
414C2×D4×C71—22no—
415C2×D4×C71—22no—
416C2×D4×C71—22no—
417C2×D4×C71—22no—
418C2×D4×C71—22no—
419C2×D4×C71—22no—
420C2×D4×C71—22no—
421C2×D4×C71—22no—
422C2×D4×C71—22no—
423C2×D4×C71—22no—
424C2×D4×C71—22no—
425C2×D4×C71—22no—
426C2×D4×C71—22no—
427C2×D4×C71—22no—
428C2×D4×C71—22no—
429C2×D4×C71—22no—
430C2×D4×C71—22no—
431C2×D4×C71—22no—
432C2×D4×C71—22no—
433C2×D4×C71—22no—
434C2×D4×C71—22no—
435C2×D4×C71—41no—
436C2×D4×C71—41no—
437C2×D4×C71—41no—
438C2×D4×C71—41no—
439C2×D4×C71—41no—
440C2×D4×C71—41no—
441C2×D4×C71—41no—
442C2×D4×C71—41no—
443C2×D4×C71—41no—
444C2×D4×C71—41no—
445C2×D4×C71—41no—
446C2×D4×C71—41no—
447C2×D4×C71—41no—
448C2×D4×C71—41no—
449C2×D4×C71—41no—
450C2×D4×C71—41no—
451C2×D4×C71—41no—
452C2×D4×C71—41no—
453C2×D4×C71—41no—
454C2×D4×C71—41no—
455C2×D4×C71—41no—
456C2×D4×C71—41no—
457C2×D4×C71—41no—
458C2×D4×C71—41no—
459C2×D4×C71—41no—
460C2×D4×C71—41no—
461C2×D4×C71—41no—
462C2×D4×C71—41no—
463C2×D4×C71—41no—
464C2×D4×C71—416no—
465C2×D4×C71—416no—
466C22×C4×C71—22no—
467C22×C4×C71—22no—
468C22×C4×C71—22no—
469C22×C4×C71—22no—
470C22×C4×C71—22no—
471C22×C4×C71—22no—
472C22×C4×C71—22no—
473C22×C4×C71—22no—
474C22×C4×C71—22no—
475C22×C4×C71—22no—
476C22×C4×C71—22no—
477C22×C4×C71—41no—
478C22×C4×C71—41no—
479C22×C4×C71—41no—
480C22×C4×C71—41no—
481C22×C4×C71—41no—
482C22×C4×C71—41no—
483C22×C4×C71—41no—
484C22×C4×C71—41no—
485C22×C4×C71—41no—
486C22×C4×C71—41no—
487C22×C4×C71—41no—
488C22×C4×C71—41no—
489C22×C4×C71—41no—
490C22×C4×C71—41no—
491C22×C4×C71—41no—
492C22×C4×C71—41no—
493C22×C4×C71—41no—
494C22×C4×C71—41no—
495C22×C4×C71—41no—
496C22×C4×C71—41no—
497C22×C4×C71—41no—
498C22×C4×C71—41no—
499C22×C4×C71—41no—
500C22×C4×C71—41no—
501C22×C4×C71—41no—
502C22×C4×C71—41no—
503C22×C4×C71—41no—
504C22×C4×C71—41no—
505C22×C4×C71—416no—
506C22×C4×C71C2411yescharacteristic
507C22×C4×C71C2411yescharacteristic
508C22×C4×C71C2411yescharacteristic
509C22×C4×C71C2411yescharacteristic
510C22×C4×C71C2411yescharacteristic
511C22×C4×C71C2411yescharacteristic
512C22×C4×C71C2411yescharacteristic
513C22×C4×C71C2411yescharacteristic
514C22×C4×C71C2411yescharacteristic
515C22×C4×C71C2411yescharacteristic
516C22×C4×C71C2411yescharacteristic
517C22×C4×C71C2411yescharacteristic
518C22×C4×C71C2411yescharacteristic
519C22×C4×C71C2411yescharacteristic
520C22×C4×C71C2411yescharacteristic
521C22×C4×C71C2411yescharacteristic
522C22×C4×C71C2411yescharacteristic
523C22×C4×C71C2411yescharacteristic
524C22×C4×C71C2411yescharacteristic
525C22×C4×C71C2411yescharacteristic
526C22×C4×C71C2411yescharacteristic
527C22×C4×C71C2411yescharacteristic
528C22×C4×C71C2411yescharacteristic
529C4⋊C4×C71—22no—
530C4⋊C4×C71—22no—
531C4⋊C4×C71—41no—
532C4⋊C4×C71—41no—
533C4⋊C4×C71—41no—
534C4⋊C4×C71—41no—
535C4⋊C4×C71—41no—
536C4⋊C4×C71—41no—
537C4⋊C4×C71—41no—
538C4⋊C4×C71—41no—
539C4⋊C4×C71—41no—
540C4⋊C4×C71—41no—
541C4⋊C4×C71—41no—
542C4⋊C4×C71—41no—
543C4⋊C4×C71—41no—
544C4⋊C4×C71—41no—
545C22⋊C4×C71—22no—
546C22⋊C4×C71—22no—
547C22⋊C4×C71—22no—
548C22⋊C4×C71—22no—
549C22⋊C4×C71—22no—
550C22⋊C4×C71—22no—
551C22⋊C4×C71—22no—
552C22⋊C4×C71—22no—
553C22⋊C4×C71—22no—
554C22⋊C4×C71—22no—
555C22⋊C4×C71—22no—
556C22⋊C4×C71—22no—
557C22⋊C4×C71—22no—
558C22⋊C4×C71—22no—
559C22⋊C4×C71—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—
570C22⋊C4×C71—41no—
571C22⋊C4×C71—41no—
572C22⋊C4×C71—41no—
573C22⋊C4×C71—41no—
574C22⋊C4×C71—41no—
575C22⋊C4×C71—41no—
576C22⋊C4×C71—41no—
577C22⋊C4×C71—41no—
578C22⋊C4×C71—41no—
579C22⋊C4×C71—41no—
580C22⋊C4×C71—41no—
581C22⋊C4×C71—41no—
582C22⋊C4×C71—41no—
583C22⋊C4×C71—41no—
584C22⋊C4×C71—41no—
585C22⋊C4×C71—41no—
586C22⋊C4×C71—41no—
587C22⋊C4×C71—41no—
588C22⋊C4×C71—41no—
589C22⋊C4×C71—41no—
590C22⋊C4×C71—41no—
591C22⋊C4×C71—41no—
592C22⋊C4×C71—41no—
593C22⋊C4×C71—41no—
594C22⋊C4×C71—41no—
595C22⋊C4×C71—41no—
596C22⋊C4×C71—41no—
597C22⋊C4×C71—41no—
598C22⋊C4×C71—41no—
599C22⋊C4×C71—41no—
600C22⋊C4×C71—41no—
601C22⋊C4×C71—41no—
602C22⋊C4×C71—41no—
603C22⋊C4×C71—41no—
604C22⋊C4×C71—41no—
605C42×C71—41no—
606C42×C71—41no—
607C42×C71—41no—
608C23×C71—21no—
609C23×C71—21no—
610C23×C71—21no—
611C23×C71—21no—
612C23×C71—28no—
613C23×C71—21no—
614C23×C71—21no—
615C23×C71—21no—
616C23×C71—21no—
617C23×C71—21no—
618C23×C71—21no—
619C23×C71—21no—
620C23×C71—21no—
621C23×C71—21no—
622C23×C71—21no—
623C23×C71—21no—
624C23×C71—21no—
625C23×C71—21no—
626C23×C71—21no—
627C23×C71—21no—
628C23×C71—21no—
629C23×C71—21no—
630C23×C71—21no—
631C23×C71—21no—
632C23×C71—21no—
633C23×C71—21no—
634C23×C71—21no—
635C23×C71—21no—
636C23×C71—21no—
637C23×C71—28no—
638C23×C71—21no—
639C23×C71—21no—
640C23×C71—21no—
641C23×C71—21no—
642C23×C71—21no—
643C23×C71—21no—
644C23×C71—21no—
645C23×C71—21no—
646C23×C71—21no—
647C23×C71—21no—
648C23×C71—21no—
649C23×C71—21no—
650C23×C71—21no—
651C23×C71—21no—
652C23×C71—21no—
653C23×C71—21no—
654C23×C71—21no—
655C23×C71—21no—
656C23×C71—21no—
657C23×C71—21no—
658C23×C71—21no—
659C23×C71—44no—
660C23×C71—44no—
661C23×C71—44no—
662C23×C71—44no—
663C23×C71—44no—
664C23×C71—44no—
665C23×C71—44no—
666C23×C71—44no—
667C23×C71—44no—
668C23×C71—82no—
669C23×C71—82no—
670C23×C71—82no—
671C23×C71—82no—
672C23×C71—82no—
673C23×C71—82no—
674C23×C71—82no—
675C23×C71—82no—
676C23×C71—82no—
677C23×C71—82no—
678C23×C71C2×#4112yes—
679C23×C71C2×#4112yes—
680C23×C71C2×#4112yes—
681C23×C71H(5,𝔽2)12yes—
682C23×C71H(5,𝔽2)12yes—
683C23×C71H(5,𝔽2)12yes—
684C23×C71H(5,𝔽2)12yes—
685C23×C71C2511yescharacteristic
686Q8×C71—82no—
687D4×C71—44no—
688D4×C71—44no—
689D4×C71—44no—
690D4×C71—44no—
691D4×C71—44no—
692D4×C71—44no—
693D4×C71—44no—
694D4×C71—44no—
695D4×C71—44no—
696D4×C71—82no—
697D4×C71—82no—
698D4×C71—82no—
699D4×C71—82no—
700D4×C71—82no—
701D4×C71—82no—
702D4×C71—82no—
703D4×C71—82no—
704D4×C71—82no—
705D4×C71—82no—
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—21no—
715C2×C4×C71—21no—
716C2×C4×C71—21no—
717C2×C4×C71—21no—
718C2×C4×C71—21no—
719C2×C4×C71—21no—
720C2×C4×C71—21no—
721C2×C4×C71—21no—
722C2×C4×C71—21no—
723C2×C4×C71—21no—
724C2×C4×C71—21no—
725C2×C4×C71—21no—
726C2×C4×C71—21no—
727C2×C4×C71—21no—
728C2×C4×C71—21no—
729C2×C4×C71—21no—
730C2×C4×C71—21no—
731C2×C4×C71—21no—
732C2×C4×C71—21no—
733C2×C4×C71—21no—
734C2×C4×C71—21no—
735C2×C4×C71—21no—
736C2×C4×C71—21no—
737C2×C4×C71—21no—
738C2×C4×C71—21no—
739C2×C4×C71—21no—
740C2×C4×C71—21no—
741C2×C4×C71—21no—
742C2×C4×C71—21no—
743C2×C4×C71—21no—
744C2×C4×C71—21no—
745C2×C4×C71—21no—
746C2×C4×C71—21no—
747C2×C4×C71—21no—
748C2×C4×C71—21no—
749C2×C4×C71—21no—
750C2×C4×C71—21no—
751C2×C4×C71—21no—
752C2×C4×C71—21no—
753C2×C4×C71—21no—
754C2×C4×C71—21no—
755C2×C4×C71—21no—
756C2×C4×C71—21no—
757C2×C4×C71—21no—
758C2×C4×C71—21no—
759C2×C4×C71—21no—
760C2×C4×C71—21no—
761C2×C4×C71—21no—
762C2×C4×C71—21no—
763C2×C4×C71—21no—
764C2×C4×C71—21no—
765C2×C4×C71—21no—
766C2×C4×C71—21no—
767C2×C4×C71—21no—
768C2×C4×C71—21no—
769C2×C4×C71—21no—
770C2×C4×C71—21no—
771C2×C4×C71—21no—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—44no—
775C2×C4×C71—44no—
776C2×C4×C71—44no—
777C2×C4×C71—44no—
778C2×C4×C71—44no—
779C2×C4×C71—44no—
780C2×C4×C71—44no—
781C2×C4×C71—44no—
782C2×C4×C71—82no—
783C2×C4×C71—82no—
784C2×C4×C71—82no—
785C2×C4×C71—82no—
786C2×C4×C71—82no—
787C2×C4×C71H(5,𝔽2)12yes—
788C22×C71—22no—
789C22×C71—22no—
790C22×C71—22no—
791C22×C71—22no—
792C22×C71—22no—
793C22×C71—22no—
794C22×C71—22no—
795C22×C71—22no—
796C22×C71—22no—
797C22×C71—22no—
798C22×C71—22no—
799C22×C71—22no—
800C22×C71—22no—
801C22×C71—22no—
802C22×C71—22no—
803C22×C71—22no—
804C22×C71—22no—
805C22×C71—22no—
806C22×C71—416no—
807C22×C71—41no—
808C22×C71—41no—
809C22×C71—41no—
810C22×C71—41no—
811C22×C71—41no—
812C22×C71—41no—
813C22×C71—41no—
814C22×C71—41no—
815C22×C71—41no—
816C22×C71—41no—
817C22×C71—41no—
818C22×C71—41no—
819C22×C71—41no—
820C22×C71—41no—
821C22×C71—41no—
822C22×C71—41no—
823C22×C71—41no—
824C22×C71—41no—
825C22×C71—41no—
826C22×C71—41no—
827C22×C71—41no—
828C22×C71—41no—
829C22×C71—41no—
830C22×C71—41no—
831C22×C71—41no—
832C22×C71—41no—
833C22×C71—41no—
834C22×C71—41no—
835C22×C71—41no—
836C22×C71—41no—
837C22×C71—41no—
838C22×C71—41no—
839C22×C71—41no—
840C22×C71—41no—
841C22×C71—41no—
842C22×C71—41no—
843C22×C71—41no—
844C22×C71—88no—
845C22×C71—88no—
846C22×C71#53814yes—
847C22×C71C22×#4111yescharacteristic
848C22×C71C2×H(5,𝔽2)11yescharacteristic
849C22×C71C2×H(5,𝔽2)11yescharacteristic
850C22×C71C2×H(5,𝔽2)11yescharacteristic
851C22×C71C2×H(5,𝔽2)11yescharacteristic
852C22×C71C2×H(5,𝔽2)11yescharacteristic
853C22×C71#58511yescharacteristic
854C4×C71—22no—
855C4×C71—41no—
856C4×C71—41no—
857C4×C71—41no—
858C4×C71—41no—
859C4×C71—41no—
860C4×C71—41no—
861C4×C71—41no—
862C4×C71—41no—
863C4×C71—41no—
864C4×C71—41no—
865C4×C71—41no—
866C4×C71—41no—
867C4×C71—41no—
868C4×C71—41no—
869C4×C71—41no—
870C4×C71—41no—
871C4×C71—41no—
872C4×C71—41no—
873C4×C71—41no—
874C4×C71—41no—
875C4×C71—41no—
876C4×C71—41no—
877#36776C7111yesmaximal, characteristic, direct product factor, Sylow
878C2×C71—24no—
879C2×C71—42no—
880C2×C71—42no—
881C2×C71—42no—
882C2×C71—42no—
883C2×C71—81no—
884C2×C71—81no—
885C2×C71—81no—
886C2×C71C2×#53811yescharacteristic
887C2×C71#349011yescharacteristic
888C2×C71#350511yescharacteristic
889C2×C71#353211yescharacteristic
890C2×C71#353411yescharacteristic
891C2×C71#353411yescharacteristic
892C2×C71#353711yescharacteristic
893#2849C2×C7111yescharacteristic, complemented
894#2847C2×C7111yescharacteristic, complemented
895#2778C2×C7111yescharacteristic, complemented
896#2778C2×C7111yescharacteristic, complemented
897#2760C2×C7111yescharacteristic, complemented
898#2750C2×C7111yescharacteristic, complemented
899#2749C2×C7111yescharacteristic, complemented
900#2749C2×C7111yescharacteristic, complemented
901#2743C2×C7111yescharacteristic, complemented
902#2703C2×C7111yescharacteristic, complemented
903#2697C2×C7111yescharacteristic, complemented
904#2696C2×C7111yescharacteristic, complemented
905#2688C2×C7111yescharacteristic, complemented
906#2688C2×C7111yescharacteristic, complemented
907#2684C2×C7111yescharacteristic, complemented
908#2678C2×C7111yescharacteristic, complemented
909#2676C2×C7111yescharacteristic, complemented
910#2668C2×C7111yescharacteristic, complemented
911#2643C2×C7111yescharacteristic, complemented
912#2639C2×C7111yescharacteristic, complemented
913#2510C2×C7111yescharacteristic, complemented
914#2472C2×C7111yescharacteristic, complemented
915#2444C2×C7111yescharacteristic, complemented
916#2437C2×C7111yescharacteristic, complemented
917#2424C2×C7111yescharacteristic, complemented
918#2410C2×C7111yescharacteristic, complemented
919#2410C2×C7111yescharacteristic, complemented
920#2403C2×C7111yescharacteristic, complemented
921#2321C2×C7111yescharacteristic, complemented
922#2308C2×C7111yescharacteristic, complemented
923C2×#386C2×C7111yescharacteristic, complemented
924C71#3677611yescharacteristic, direct product factor, Sylow
925C23×D4C22×C7111yescharacteristic
926C23×D4C22×C7111yescharacteristic
927C24×C4C22×C7111yescharacteristic, complemented
928C2×#124C22×C7111yescharacteristic, complemented
929C2×#123C22×C7111yescharacteristic, complemented
930C2×#123C22×C7111yescharacteristic, complemented
931C2×C22⋊Q8C22×C7111yescharacteristic, complemented
932C2×C22⋊Q8C22×C7111yescharacteristic, complemented
933C2×#121C22×C7111yescharacteristic
934C2×#121C22×C7111yescharacteristic
935C2×#121C22×C7111yescharacteristic, complemented
936C2×#121C22×C7111yescharacteristic, complemented
937C2×#121C22×C7111yescharacteristic, complemented
938C2×#121C22×C7111yescharacteristic, complemented
939C2×#121C22×C7111yescharacteristic, complemented
940C2×#120C22×C7111yescharacteristic
941C2×#120C22×C7111yescharacteristic
942C2×#120C22×C7111yescharacteristic
943C2×#120C22×C7111yescharacteristic
944C2×#120C22×C7111yescharacteristic
945C2×#120C22×C7111yescharacteristic, complemented
946C2×#120C22×C7111yescharacteristic, complemented
947C2×C4×D4C22×C7111yescharacteristic, complemented
948C22×C22⋊C4C22×C7111yescharacteristic
949C22×C22⋊C4C22×C7111yescharacteristic
950C22×C22⋊C4C22×C7111yescharacteristic
951C22×C22⋊C4C22×C7111yescharacteristic, complemented
952#401C22×C7111yescharacteristic, complemented
953#401C22×C7111yescharacteristic, complemented
954#400C22×C7111yescharacteristic, complemented
955#400C22×C7111yescharacteristic, complemented
956#400C22×C7111yescharacteristic, complemented
957#400C22×C7111yescharacteristic, complemented
958#400C22×C7111yescharacteristic, complemented
959#400C22×C7111yescharacteristic, complemented
960#400C22×C7111yescharacteristic, complemented
961#399C22×C7111yescharacteristic, complemented
962#397C22×C7111yescharacteristic, complemented
963#397C22×C7111yescharacteristic, complemented
964#397C22×C7111yescharacteristic, complemented
965#397C22×C7111yescharacteristic, complemented
966#397C22×C7111yescharacteristic, complemented
967#397C22×C7111yescharacteristic, complemented
968#397C22×C7111yescharacteristic, complemented
969#397C22×C7111yescharacteristic, complemented
970#397C22×C7111yescharacteristic, complemented
971#397C22×C7111yescharacteristic, complemented
972#396C22×C7111yescharacteristic, complemented
973#396C22×C7111yescharacteristic, complemented
974#396C22×C7111yescharacteristic, complemented
975#396C22×C7111yescharacteristic, complemented
976#394C22×C7111yescharacteristic
977#394C22×C7111yescharacteristic
978#394C22×C7111yescharacteristic, complemented
979#394C22×C7111yescharacteristic, complemented
980#394C22×C7111yescharacteristic, complemented
981#394C22×C7111yescharacteristic, complemented
982#394C22×C7111yescharacteristic, complemented
983#394C22×C7111yescharacteristic, complemented
984#394C22×C7111yescharacteristic, complemented
985#394C22×C7111yescharacteristic, complemented
986#394C22×C7111yescharacteristic, complemented
987#393C22×C7111yescharacteristic, complemented
988#393C22×C7111yescharacteristic, complemented
989#393C22×C7111yescharacteristic, complemented
990#393C22×C7111yescharacteristic, complemented
991#392C22×C7111yescharacteristic
992#392C22×C7111yescharacteristic
993#392C22×C7111yescharacteristic
994#392C22×C7111yescharacteristic
995#392C22×C7111yescharacteristic
996#392C22×C7111yescharacteristic
997#392C22×C7111yescharacteristic, complemented
998#392C22×C7111yescharacteristic, complemented
999#392C22×C7111yescharacteristic, complemented
1000#390C22×C7111yescharacteristic, complemented
1001#390C22×C7111yescharacteristic, complemented
1002#390C22×C7111yescharacteristic, complemented
1003#390C22×C7111yescharacteristic, complemented
1004#388C22×C7111yescharacteristic, complemented
1005#388C22×C7111yescharacteristic, complemented
1006#388C22×C7111yescharacteristic, complemented
1007#388C22×C7111yescharacteristic, complemented
1008#388C22×C7111yescharacteristic, complemented
1009#388C22×C7111yescharacteristic, complemented
1010#388C22×C7111yescharacteristic, complemented
1011#388C22×C7111yescharacteristic, complemented
1012#388C22×C7111yescharacteristic, complemented
1013#388C22×C7111yescharacteristic, complemented
1014#387C22×C7111yescharacteristic, complemented
1015#387C22×C7111yescharacteristic, complemented
1016#386C22×C7111yescharacteristic
1017#386C22×C7111yescharacteristic
1018#386C22×C7111yescharacteristic
1019#386C22×C7111yescharacteristic
1020#386C22×C7111yescharacteristic
1021#386C22×C7111yescharacteristic
1022#386C22×C7111yescharacteristic
1023#386C22×C7111yescharacteristic
1024#386C22×C7111yescharacteristic
1025#386C22×C7111yescharacteristic
1026#386C22×C7111yescharacteristic
1027#386C22×C7111yescharacteristic
1028#386C22×C7111yescharacteristic
1029#386C22×C7111yescharacteristic
1030#386C22×C7111yescharacteristic, complemented
1031#386C22×C7111yescharacteristic, complemented
1032#386C22×C7111yescharacteristic, complemented
1033#386C22×C7111yescharacteristic, complemented
1034#386C22×C7111yescharacteristic, complemented
1035#386C22×C7111yescharacteristic, complemented
1036#386C22×C7111yescharacteristic, complemented
1037#386C22×C7111yescharacteristic, complemented
1038#386C22×C7111yescharacteristic, complemented
1039#386C22×C7111yescharacteristic, complemented
1040#386C22×C7111yescharacteristic, complemented
1041#386C22×C7111yescharacteristic, complemented
1042#386C22×C7111yescharacteristic, complemented
1043#386C22×C7111yescharacteristic, complemented
1044#386C22×C7111yescharacteristic, complemented
1045#386C22×C7111yescharacteristic, complemented
1046#386C22×C7111yescharacteristic, complemented
1047#386C22×C7111yescharacteristic, complemented
1048#386C22×C7111yescharacteristic, complemented
1049#386C22×C7111yescharacteristic, complemented
1050#386C22×C7111yescharacteristic, complemented
1051#386C22×C7111yescharacteristic, complemented
1052#386C22×C7111yescharacteristic, complemented
1053#385C22×C7111yescharacteristic, complemented
1054#385C22×C7111yescharacteristic, complemented
1055#385C22×C7111yescharacteristic, complemented
1056#385C22×C7111yescharacteristic, complemented
1057#385C22×C7111yescharacteristic, complemented
1058#385C22×C7111yescharacteristic, complemented
1059#385C22×C7111yescharacteristic, complemented
1060#385C22×C7111yescharacteristic, complemented
1061#385C22×C7111yescharacteristic, complemented
1062#383C22×C7111yescharacteristic, complemented
1063#381C22×C7111yescharacteristic, complemented
1064#381C22×C7111yescharacteristic, complemented
1065#381C22×C7111yescharacteristic, complemented
1066#381C22×C7111yescharacteristic, complemented
1067#381C22×C7111yescharacteristic, complemented
1068#380C22×C7111yescharacteristic, complemented
1069#380C22×C7111yescharacteristic, complemented
1070#380C22×C7111yescharacteristic, complemented
1071#380C22×C7111yescharacteristic, complemented
1072#379C22×C7111yescharacteristic
1073#379C22×C7111yescharacteristic, complemented
1074#379C22×C7111yescharacteristic, complemented
1075#379C22×C7111yescharacteristic, complemented
1076#379C22×C7111yescharacteristic, complemented
1077C4×C22⋊C4C22×C7111yescharacteristic, complemented
1078C2×#95C22×C7111yescharacteristic, complemented
1079C2×#95C22×C7111yescharacteristic, complemented
1080C25C23×C7111yescharacteristic
1081C25C23×C7111yescharacteristic
1082C25C23×C7111yescharacteristic
1083C22×Q8C23×C7111yescharacteristic
1084C22×D4—24no—
1085C22×D4—24no—
1086C22×D4—42no—
1087C22×D4—42no—
1088C22×D4—42no—
1089C22×D4—42no—
1090C22×D4C23×C7111yescharacteristic
1091C22×D4C23×C7111yescharacteristic
1092C22×D4C23×C7111yescharacteristic
1093C22×D4C23×C7111yescharacteristic
1094C22×D4C23×C7111yescharacteristic
1095C22×D4C23×C7111yescharacteristic
1096C22×D4C23×C7111yescharacteristic
1097C22×D4C23×C7111yescharacteristic
1098C22×D4C23×C7111yescharacteristic
1099C22×D4C23×C7111yescharacteristic
1100C22×D4C23×C7111yescharacteristic
1101C22×D4C23×C7111yescharacteristic
1102C22×D4C23×C7111yescharacteristic
1103C22×D4C23×C7111yescharacteristic
1104C22×D4C23×C7111yescharacteristic
1105C22×D4C23×C7111yescharacteristic
1106C22×D4C23×C7111yescharacteristic
1107C22×D4C23×C7111yescharacteristic
1108C22×D4C23×C7111yescharacteristic
1109C23×C4—42no—
1110C23×C4—42no—
1111C23×C4—42no—
1112C23×C4C23×C7111yescharacteristic
1113C23×C4C23×C7111yescharacteristic
1114C23×C4C23×C7111yescharacteristic
1115C23×C4C23×C7111yescharacteristic
1116C23×C4C23×C7111yescharacteristic
1117C23×C4C23×C7111yescharacteristic
1118C23×C4C23×C7111yescharacteristic
1119C23×C4C23×C7111yescharacteristic
1120C23×C4C23×C7111yescharacteristic
1121C23×C4C23×C7111yescharacteristic
1122C23×C4C23×C7111yescharacteristic
1123C23×C4C23×C7111yescharacteristic
1124C23×C4C23×C7111yescharacteristic
1125#124—42no—
1126#123—42no—
1127#123—42no—
1128C22⋊Q8—42no—
1129C22⋊Q8—42no—
1130#121—42no—
1131#121—42no—
1132#121—42no—
1133#121—42no—
1134#121—42no—
1135#121—42no—
1136#121—42no—
1137#120—24no—
1138#120—42no—
1139#120—42no—
1140#120—42no—
1141#120—42no—
1142#120—42no—
1143#120—42no—
1144C4×D4—42no—
1145C2×C4⋊C4C23×C7111yescharacteristic
1146C2×C4⋊C4C23×C7111yescharacteristic
1147C2×C4⋊C4C23×C7111yescharacteristic
1148C2×C4⋊C4C23×C7111yescharacteristic
1149C2×C4⋊C4C23×C7111yescharacteristic
1150C2×C4⋊C4C23×C7111yescharacteristic
1151C2×C4⋊C4C23×C7111yescharacteristic
1152C2×C4⋊C4C23×C7111yescharacteristic
1153C2×C4⋊C4C23×C7111yescharacteristic
1154C2×C4⋊C4C23×C7111yescharacteristic
1155C2×C4⋊C4C23×C7111yescharacteristic
1156C2×C4⋊C4C23×C7111yescharacteristic
1157C2×C4⋊C4C23×C7111yescharacteristic
1158C2×C4⋊C4C23×C7111yescharacteristic
1159C2×C4⋊C4C23×C7111yescharacteristic
1160C2×C4⋊C4C23×C7111yescharacteristic
1161C2×C22⋊C4—42no—
1162C2×C22⋊C4—42no—
1163C2×C22⋊C4—42no—
1164C2×C22⋊C4—42no—
1165C2×C22⋊C4C23×C7111yescharacteristic
1166C2×C22⋊C4C23×C7111yescharacteristic
1167C2×C22⋊C4C23×C7111yescharacteristic
1168C2×C22⋊C4C23×C7111yescharacteristic
1169C2×C22⋊C4C23×C7111yescharacteristic
1170C2×C22⋊C4C23×C7111yescharacteristic
1171C2×C22⋊C4C23×C7111yescharacteristic
1172C2×C22⋊C4C23×C7111yescharacteristic
1173C2×C22⋊C4C23×C7111yescharacteristic
1174C2×C22⋊C4C23×C7111yescharacteristic
1175C2×C22⋊C4C23×C7111yescharacteristic
1176C2×C22⋊C4C23×C7111yescharacteristic
1177C2×C22⋊C4C23×C7111yescharacteristic
1178C2×C22⋊C4C23×C7111yescharacteristic
1179C2×C22⋊C4C23×C7111yescharacteristic
1180C2×C22⋊C4C23×C7111yescharacteristic
1181C2×C22⋊C4C23×C7111yescharacteristic
1182C2×C22⋊C4C23×C7111yescharacteristic
1183C2×C22⋊C4C23×C7111yescharacteristic
1184C2×C22⋊C4C23×C7111yescharacteristic
1185C2×C22⋊C4C23×C7111yescharacteristic
1186C2×C22⋊C4C23×C7111yescharacteristic
1187C2×C22⋊C4C23×C7111yescharacteristic
1188C2×C22⋊C4C23×C7111yescharacteristic
1189C2×C22⋊C4C23×C7111yescharacteristic
1190C2×C22⋊C4C23×C7111yescharacteristic
1191C2×C22⋊C4C23×C7111yescharacteristic
1192C2×C22⋊C4C23×C7111yescharacteristic
1193C2×C22⋊C4C23×C7111yescharacteristic
1194C2×C22⋊C4C23×C7111yescharacteristic
1195C2×C22⋊C4C23×C7111yescharacteristic
1196C2×C22⋊C4C23×C7111yescharacteristic
1197C2×C22⋊C4C23×C7111yescharacteristic
1198C2×C22⋊C4C23×C7111yescharacteristic
1199C2×C22⋊C4C23×C7111yescharacteristic
1200C2×C22⋊C4C23×C7111yescharacteristic
1201C2×C22⋊C4C23×C7111yescharacteristic
1202C2×C22⋊C4C23×C7111yescharacteristic
1203C2×C22⋊C4C23×C7111yescharacteristic
1204C2×C22⋊C4C23×C7111yescharacteristic
1205C2×C22⋊C4C23×C7111yescharacteristic
1206C2×C22⋊C4C23×C7111yescharacteristic
1207C2×C22⋊C4C23×C7111yescharacteristic
1208C2×C22⋊C4C23×C7111yescharacteristic
1209C2×C22⋊C4C23×C7111yescharacteristic
1210C2×C22⋊C4C23×C7111yescharacteristic
1211C2×C22⋊C4C23×C7111yescharacteristic
1212C2×C22⋊C4C23×C7111yescharacteristic
1213C2×C22⋊C4C23×C7111yescharacteristic
1214C2×C22⋊C4C23×C7111yescharacteristic
1215C2×C22⋊C4C23×C7111yescharacteristic
1216C2×C22⋊C4C23×C7111yescharacteristic
1217C2×C22⋊C4C23×C7111yescharacteristic
1218C2×C22⋊C4C23×C7111yescharacteristic
1219C2×C22⋊C4C23×C7111yescharacteristic
1220C2×C22⋊C4C23×C7111yescharacteristic
1221C2×C22⋊C4C23×C7111yescharacteristic
1222C2×C22⋊C4C23×C7111yescharacteristic
1223C2×C22⋊C4C23×C7111yescharacteristic
1224C2×C22⋊C4C23×C7111yescharacteristic
1225C2×C42C23×C7111yescharacteristic
1226C2×C42C23×C7111yescharacteristic
1227C2×C42C23×C7111yescharacteristic
1228#95C23×C7111yescharacteristic
1229#95C23×C7111yescharacteristic
1230#95C23×C7111yescharacteristic
1231#95C23×C7111yescharacteristic
1232#95C23×C7111yescharacteristic
1233#95C23×C7111yescharacteristic
1234#95C23×C7111yescharacteristic
1235#95C23×C7111yescharacteristic
1236#95C23×C7111yescharacteristic
1237#95C23×C7111yescharacteristic
1238#95C23×C7111yescharacteristic
1239#95C23×C7111yescharacteristic
1240#95C23×C7111yescharacteristic
1241#95C23×C7111yescharacteristic
1242#95C23×C7111yescharacteristic
1243#95C23×C7111yescharacteristic
1244#95C23×C7111yescharacteristic
1245#95C23×C7111yescharacteristic
1246#95C23×C7111yescharacteristic
1247#95C23×C7111yescharacteristic
1248#95C23×C7111yescharacteristic
1249#95C23×C7111yescharacteristic
1250#95C23×C7111yescharacteristic
1251#95C23×C7111yescharacteristic
1252#95C23×C7111yescharacteristic
1253#95C23×C7111yescharacteristic
1254#95C23×C7111yescharacteristic
1255#95C23×C7111yescharacteristic
1256#95C23×C7111yescharacteristic
1257#95C23×C7111yescharacteristic
1258#95C23×C7111yescharacteristic
1259#95C23×C7111yescharacteristic
1260#95C23×C7111yescharacteristic
1261#95C23×C7111yescharacteristic
1262#95C23×C7111yescharacteristic
1263#95C23×C7111yescharacteristic
1264#95C23×C7111yescharacteristic
1265#95C23×C7111yescharacteristic
1266#95C23×C7111yescharacteristic
1267#95C23×C7111yescharacteristic
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—41no—
1277C24—41no—
1278C24—41no—
1279C24—41no—
1280C24—41no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—41no—
1287C24—41no—
1288C24#41×C7114yes—
1289C24C24×C7111yescharacteristic
1290C24C24×C7111yescharacteristic
1291C24C24×C7111yescharacteristic
1292C24C24×C7111yescharacteristic
1293C24C24×C7111yescharacteristic
1294C24C24×C7111yescharacteristic
1295C24C24×C7111yescharacteristic
1296C24C24×C7111yescharacteristic
1297C2×Q8—41no—
1298C2×Q8—41no—
1299C2×Q8—41no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—41no—
1351C2×D4—41no—
1352C2×D4—41no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—416no—
1358C2×D4—416no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
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—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—41no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—416no—
1399C22×C4C24×C7111yescharacteristic
1400C22×C4C24×C7111yescharacteristic
1401C22×C4C24×C7111yescharacteristic
1402C22×C4C24×C7111yescharacteristic
1403C22×C4C24×C7111yescharacteristic
1404C22×C4C24×C7111yescharacteristic
1405C22×C4C24×C7111yescharacteristic
1406C22×C4C24×C7111yescharacteristic
1407C22×C4C24×C7111yescharacteristic
1408C22×C4C24×C7111yescharacteristic
1409C22×C4C24×C7111yescharacteristic
1410C22×C4C24×C7111yescharacteristic
1411C22×C4C24×C7111yescharacteristic
1412C22×C4C24×C7111yescharacteristic
1413C22×C4C24×C7111yescharacteristic
1414C22×C4C24×C7111yescharacteristic
1415C22×C4C24×C7111yescharacteristic
1416C22×C4C24×C7111yescharacteristic
1417C22×C4C24×C7111yescharacteristic
1418C22×C4C24×C7111yescharacteristic
1419C22×C4C24×C7111yescharacteristic
1420C22×C4C24×C7111yescharacteristic
1421C22×C4C24×C7111yescharacteristic
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—41no—
1429C4⋊C4—41no—
1430C4⋊C4—41no—
1431C4⋊C4—41no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—41no—
1460C22⋊C4—41no—
1461C22⋊C4—41no—
1462C22⋊C4—41no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—41no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—41no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—41no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—41no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C42—41no—
1499C42—41no—
1500C42—41no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—28no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—28no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—44no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—82no—
1562C23—82no—
1563C23—82no—
1564C23—82no—
1565C23—82no—
1566C23—82no—
1567C23—82no—
1568C23—82no—
1569C23—82no—
1570C23—82no—
1571C23C2×#41×C7112yes—
1572C23C2×#41×C7112yes—
1573C23C2×#41×C7112yes—
1574C23H(5,𝔽2)×C7112yes—
1575C23H(5,𝔽2)×C7112yes—
1576C23H(5,𝔽2)×C7112yes—
1577C23H(5,𝔽2)×C7112yes—
1578C23C25×C7111yescharacteristic
1579Q8—82no—
1580D4—44no—
1581D4—44no—
1582D4—44no—
1583D4—44no—
1584D4—44no—
1585D4—44no—
1586D4—44no—
1587D4—44no—
1588D4—44no—
1589D4—82no—
1590D4—82no—
1591D4—82no—
1592D4—82no—
1593D4—82no—
1594D4—82no—
1595D4—82no—
1596D4—82no—
1597D4—82no—
1598D4—82no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—44no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—82no—
1676C2×C4—82no—
1677C2×C4—82no—
1678C2×C4—82no—
1679C2×C4—82no—
1680C2×C4H(5,𝔽2)×C7112yes—
1681C22—22no—
1682C22—22no—
1683C22—22no—
1684C22—22no—
1685C22—22no—
1686C22—22no—
1687C22—22no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—416no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—88no—
1738C22—88no—
1739C22#538×C7114yes—
1740C22C22×#41×C7111yescharacteristic
1741C22C2×H(5,𝔽2)×C7111yescharacteristic
1742C22C2×H(5,𝔽2)×C7111yescharacteristic
1743C22C2×H(5,𝔽2)×C7111yescharacteristic
1744C22C2×H(5,𝔽2)×C7111yescharacteristic
1745C22C2×H(5,𝔽2)×C7111yescharacteristic
1746C22#585×C7111yescharacteristic
1747C4—22no—
1748C4—41no—
1749C4—41no—
1750C4—41no—
1751C4—41no—
1752C4—41no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C2—24no—
1771C2—42no—
1772C2—42no—
1773C2—42no—
1774C2—42no—
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2C2×#538×C7111yescharacteristic
1779C2C71×#349011yescharacteristic
1780C2C71×#350511yescharacteristic
1781C2C71×#353211yescharacteristic
1782C2C71×#353411yescharacteristic
1783C2C71×#353411yescharacteristic
1784C2C71×#353711yescharacteristic
subgroupG/H
center, socleC23×C71C25
commutator, Frattini, cosocleC23C25×C71
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×#2847C2semidirect
3. C71×#2778C2semidirect
4. C71×#2778C2semidirect
5. C71×#2760C2semidirect
6. C71×#2750C2semidirect
7. C71×#2749C2semidirect
8. C71×#2749C2semidirect
9. C71×#2743C2semidirect
10. C71×#2703C2semidirect
11. C71×#2697C2semidirect
12. C71×#2696C2semidirect
13. C71×#2688C2semidirect
14. C71×#2688C2semidirect
15. C71×#2684C2semidirect
16. C71×#2678C2semidirect
17. C71×#2676C2semidirect
18. C71×#2668C2semidirect
19. C71×#2643C2semidirect
20. C71×#2639C2semidirect
21. C71×#2510C2semidirect
22. C71×#2472C2semidirect
23. C71×#2444C2semidirect
24. C71×#2437C2semidirect
25. C71×#2424C2semidirect
26. C71×#2410C2semidirect
27. C71×#2410C2semidirect
28. C71×#2403C2semidirect
29. C71×#2321C2semidirect
30. C71×#2308C2semidirect
31. C2×#386×C71C2semidirect
34. C24×C4×C71C22semidirect
35. C2×#124×C71C22semidirect
36. C2×#123×C71C22semidirect
37. C2×#123×C71C22semidirect
38. C2×C22⋊Q8×C71C22semidirect
39. C2×C22⋊Q8×C71C22semidirect
42. C2×#121×C71C22semidirect
43. C2×#121×C71C22semidirect
44. C2×#121×C71C22semidirect
45. C2×#121×C71C22semidirect
46. C2×#121×C71C22semidirect
52. C2×#120×C71C22semidirect
53. C2×#120×C71C22semidirect
54. C2×C4×D4×C71C22semidirect
58. C22×C22⋊C4×C71C22semidirect
59. #401×C71C22semidirect
60. #401×C71C22semidirect
61. #400×C71C22semidirect
62. #400×C71C22semidirect
63. #400×C71C22semidirect
64. #400×C71C22semidirect
65. #400×C71C22semidirect
66. #400×C71C22semidirect
67. #400×C71C22semidirect
68. #399×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. #397×C71C22semidirect
78. #397×C71C22semidirect
79. #396×C71C22semidirect
80. #396×C71C22semidirect
81. #396×C71C22semidirect
82. #396×C71C22semidirect
85. #394×C71C22semidirect
86. #394×C71C22semidirect
87. #394×C71C22semidirect
88. #394×C71C22semidirect
89. #394×C71C22semidirect
90. #394×C71C22semidirect
91. #394×C71C22semidirect
92. #394×C71C22semidirect
93. #394×C71C22semidirect
94. #393×C71C22semidirect
95. #393×C71C22semidirect
96. #393×C71C22semidirect
97. #393×C71C22semidirect
104. #392×C71C22semidirect
105. #392×C71C22semidirect
106. #392×C71C22semidirect
107. #390×C71C22semidirect
108. #390×C71C22semidirect
109. #390×C71C22semidirect
110. #390×C71C22semidirect
111. #388×C71C22semidirect
112. #388×C71C22semidirect
113. #388×C71C22semidirect
114. #388×C71C22semidirect
115. #388×C71C22semidirect
116. #388×C71C22semidirect
117. #388×C71C22semidirect
118. #388×C71C22semidirect
119. #388×C71C22semidirect
120. #388×C71C22semidirect
121. #387×C71C22semidirect
122. #387×C71C22semidirect
137. #386×C71C22semidirect
138. #386×C71C22semidirect
139. #386×C71C22semidirect
140. #386×C71C22semidirect
141. #386×C71C22semidirect
142. #386×C71C22semidirect
143. #386×C71C22semidirect
144. #386×C71C22semidirect
145. #386×C71C22semidirect
146. #386×C71C22semidirect
147. #386×C71C22semidirect
148. #386×C71C22semidirect
149. #386×C71C22semidirect
150. #386×C71C22semidirect
151. #386×C71C22semidirect
152. #386×C71C22semidirect
153. #386×C71C22semidirect
154. #386×C71C22semidirect
155. #386×C71C22semidirect
156. #386×C71C22semidirect
157. #386×C71C22semidirect
158. #386×C71C22semidirect
159. #386×C71C22semidirect
160. #385×C71C22semidirect
161. #385×C71C22semidirect
162. #385×C71C22semidirect
163. #385×C71C22semidirect
164. #385×C71C22semidirect
165. #385×C71C22semidirect
166. #385×C71C22semidirect
167. #385×C71C22semidirect
168. #385×C71C22semidirect
169. #383×C71C22semidirect
170. #381×C71C22semidirect
171. #381×C71C22semidirect
172. #381×C71C22semidirect
173. #381×C71C22semidirect
174. #381×C71C22semidirect
175. #380×C71C22semidirect
176. #380×C71C22semidirect
177. #380×C71C22semidirect
178. #380×C71C22semidirect
180. #379×C71C22semidirect
181. #379×C71C22semidirect
182. #379×C71C22semidirect
183. #379×C71C22semidirect
184. C4×C22⋊C4×C71C22semidirect
185. C2×#95×C71C22semidirect
186. C2×#95×C71C22semidirect
877. #36776C71direct (N × H)
893. #2849C2×C71semidirect
894. #2847C2×C71semidirect
895. #2778C2×C71semidirect
896. #2778C2×C71semidirect
897. #2760C2×C71semidirect
898. #2750C2×C71semidirect
899. #2749C2×C71semidirect
900. #2749C2×C71semidirect
901. #2743C2×C71semidirect
902. #2703C2×C71semidirect
903. #2697C2×C71semidirect
904. #2696C2×C71semidirect
905. #2688C2×C71semidirect
906. #2688C2×C71semidirect
907. #2684C2×C71semidirect
908. #2678C2×C71semidirect
909. #2676C2×C71semidirect
910. #2668C2×C71semidirect
911. #2643C2×C71semidirect
912. #2639C2×C71semidirect
913. #2510C2×C71semidirect
914. #2472C2×C71semidirect
915. #2444C2×C71semidirect
916. #2437C2×C71semidirect
917. #2424C2×C71semidirect
918. #2410C2×C71semidirect
919. #2410C2×C71semidirect
920. #2403C2×C71semidirect
921. #2321C2×C71semidirect
922. #2308C2×C71semidirect
923. C2×#386C2×C71semidirect
924. C71#36776direct (N × H)
927. C24×C4C22×C71semidirect
928. C2×#124C22×C71semidirect
929. C2×#123C22×C71semidirect
930. C2×#123C22×C71semidirect
931. C2×C22⋊Q8C22×C71semidirect
932. C2×C22⋊Q8C22×C71semidirect
935. C2×#121C22×C71semidirect
936. C2×#121C22×C71semidirect
937. C2×#121C22×C71semidirect
938. C2×#121C22×C71semidirect
939. C2×#121C22×C71semidirect
945. C2×#120C22×C71semidirect
946. C2×#120C22×C71semidirect
947. C2×C4×D4C22×C71semidirect
951. C22×C22⋊C4C22×C71semidirect
952. #401C22×C71semidirect
953. #401C22×C71semidirect
954. #400C22×C71semidirect
955. #400C22×C71semidirect
956. #400C22×C71semidirect
957. #400C22×C71semidirect
958. #400C22×C71semidirect
959. #400C22×C71semidirect
960. #400C22×C71semidirect
961. #399C22×C71semidirect
962. #397C22×C71semidirect
963. #397C22×C71semidirect
964. #397C22×C71semidirect
965. #397C22×C71semidirect
966. #397C22×C71semidirect
967. #397C22×C71semidirect
968. #397C22×C71semidirect
969. #397C22×C71semidirect
970. #397C22×C71semidirect
971. #397C22×C71semidirect
972. #396C22×C71semidirect
973. #396C22×C71semidirect
974. #396C22×C71semidirect
975. #396C22×C71semidirect
978. #394C22×C71semidirect
979. #394C22×C71semidirect
980. #394C22×C71semidirect
981. #394C22×C71semidirect
982. #394C22×C71semidirect
983. #394C22×C71semidirect
984. #394C22×C71semidirect
985. #394C22×C71semidirect
986. #394C22×C71semidirect
987. #393C22×C71semidirect
988. #393C22×C71semidirect
989. #393C22×C71semidirect
990. #393C22×C71semidirect
997. #392C22×C71semidirect
998. #392C22×C71semidirect
999. #392C22×C71semidirect
1000. #390C22×C71semidirect
1001. #390C22×C71semidirect
1002. #390C22×C71semidirect
1003. #390C22×C71semidirect
1004. #388C22×C71semidirect
1005. #388C22×C71semidirect
1006. #388C22×C71semidirect
1007. #388C22×C71semidirect
1008. #388C22×C71semidirect
1009. #388C22×C71semidirect
1010. #388C22×C71semidirect
1011. #388C22×C71semidirect
1012. #388C22×C71semidirect
1013. #388C22×C71semidirect
1014. #387C22×C71semidirect
1015. #387C22×C71semidirect
1030. #386C22×C71semidirect
1031. #386C22×C71semidirect
1032. #386C22×C71semidirect
1033. #386C22×C71semidirect
1034. #386C22×C71semidirect
1035. #386C22×C71semidirect
1036. #386C22×C71semidirect
1037. #386C22×C71semidirect
1038. #386C22×C71semidirect
1039. #386C22×C71semidirect
1040. #386C22×C71semidirect
1041. #386C22×C71semidirect
1042. #386C22×C71semidirect
1043. #386C22×C71semidirect
1044. #386C22×C71semidirect
1045. #386C22×C71semidirect
1046. #386C22×C71semidirect
1047. #386C22×C71semidirect
1048. #386C22×C71semidirect
1049. #386C22×C71semidirect
1050. #386C22×C71semidirect
1051. #386C22×C71semidirect
1052. #386C22×C71semidirect
1053. #385C22×C71semidirect
1054. #385C22×C71semidirect
1055. #385C22×C71semidirect
1056. #385C22×C71semidirect
1057. #385C22×C71semidirect
1058. #385C22×C71semidirect
1059. #385C22×C71semidirect
1060. #385C22×C71semidirect
1061. #385C22×C71semidirect
1062. #383C22×C71semidirect
1063. #381C22×C71semidirect
1064. #381C22×C71semidirect
1065. #381C22×C71semidirect
1066. #381C22×C71semidirect
1067. #381C22×C71semidirect
1068. #380C22×C71semidirect
1069. #380C22×C71semidirect
1070. #380C22×C71semidirect
1071. #380C22×C71semidirect
1073. #379C22×C71semidirect
1074. #379C22×C71semidirect
1075. #379C22×C71semidirect
1076. #379C22×C71semidirect
1077. C4×C22⋊C4C22×C71semidirect
1078. C2×#95C22×C71semidirect
1079. C2×#95C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#28492
C71×#28472
C71×#27782
C71×#27602
C71×#27502
C71×#27492
C71×#27432
C71×#27032
C71×#26972
C71×#26962
C71×#26882
C71×#26842
C71×#26782
C71×#26762
C71×#26682
C71×#26432
C71×#26392
C71×#25102
C71×#24722
C71×#24442
C71×#24372
C71×#24242
C71×#24102
C71×#24032
C71×#23212
C71×#23082
C2×#386×C712
#3677671