Finite Group Databasebeta

← C71×#35095 #31855967

Subgroups — C71×#35095 #31855967

Order 18176.

2546 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C71C211yesmaximal, characteristic, complemented
2C2×C4×#41×C71C211yesmaximal, characteristic, complemented
3C71×#2854C211yesmaximal, characteristic, complemented
4C71×#2853C211yesmaximal, characteristic, complemented
5C71×#2852C211yesmaximal, characteristic, complemented
6C71×#2850C211yesmaximal, characteristic, complemented
7C71×#2637C211yesmaximal, characteristic, complemented
8C71×#2635C211yesmaximal, characteristic, complemented
9C71×#2632C211yesmaximal, characteristic, complemented
10C71×#2630C211yesmaximal, characteristic, complemented
11C71×#2479C211yesmaximal, characteristic, complemented
12C71×#2476C211yesmaximal, characteristic, complemented
13C71×#2474C211yesmaximal, characteristic, complemented
14C71×#2471C211yesmaximal, characteristic, complemented
15C71×#2469C211yesmaximal, characteristic, complemented
16C71×#2464C211yesmaximal, characteristic, complemented
17C71×#2461C211yesmaximal, characteristic, complemented
18C71×#2458C211yesmaximal, characteristic, complemented
19C71×#2449C211yesmaximal, characteristic, complemented
20C71×#2443C211yesmaximal, characteristic, complemented
21C71×#2438C211yesmaximal, characteristic, complemented
22C71×#2430C211yesmaximal, characteristic, complemented
23C71×#2424C211yesmaximal, characteristic, complemented
24C71×#2418C211yesmaximal, characteristic, complemented
25C71×#2411C211yesmaximal, characteristic, complemented
26C71×#2404C211yesmaximal, characteristic, complemented
27C71×#2325C211yesmaximal, characteristic, complemented
28C71×#2321C211yesmaximal, characteristic, complemented
29C71×#2318C211yesmaximal, characteristic, complemented
30C4×#123×C71C211yesmaximal, characteristic, complemented
31C2×#388×C71C211yesmaximal, characteristic, complemented
32C22×#41×C71C2211yescharacteristic
33#538×C71—28no—
34C2×#126×C71C2211yescharacteristic
35C2×#126×C71C2211yescharacteristic
36C2×#124×C71C2211yescharacteristic
37C2×#124×C71C2211yescharacteristic
38C2×#123×C71C2211yescharacteristic
39C2×#123×C71C2211yescharacteristic
40C2×#123×C71C2211yescharacteristic
41C2×#123×C71C2211yescharacteristic
42C2×#123×C71C2211yescharacteristic, complemented
43C2×C22⋊Q8×C71C2211yescharacteristic
44C2×C22⋊Q8×C71C2211yescharacteristic, complemented
45C2×#121×C71C2211yescharacteristic
46C2×#121×C71C2211yescharacteristic
47C2×#121×C71C2211yescharacteristic
48C2×#121×C71C2211yescharacteristic
49C2×#121×C71C2211yescharacteristic
50C2×#120×C71C2211yescharacteristic
51C2×#120×C71C2211yescharacteristic
52C2×#120×C71C2211yescharacteristic
53C4×#41×C71—28no—
54C2×C4×Q8×C71C2211yescharacteristic, complemented
55C2×C4×Q8×C71C2211yescharacteristic, complemented
56C2×C4×D4×C71C2211yescharacteristic
57C2×C4×D4×C71C2211yescharacteristic
58C2×C4×D4×C71C2211yescharacteristic
59C2×C4×D4×C71C2211yescharacteristic
60C2×C4×D4×C71C2211yescharacteristic
61C2×C4×D4×C71C2211yescharacteristic, complemented
62C2×C4×D4×C71C2211yescharacteristic, complemented
63C2×#117×C71C2211yescharacteristic
64C2×#117×C71C2211yescharacteristic, complemented
65C2×#117×C71C2211yescharacteristic, complemented
66C22×C4⋊C4×C71C2211yescharacteristic
67C22×C22⋊C4×C71C2211yescharacteristic
68C22×C22⋊C4×C71C2211yescharacteristic
69C22×C22⋊C4×C71C2211yescharacteristic
70C22×C42×C71C2211yescharacteristic
71C22×C42×C71C2211yescharacteristic, complemented
72C22×C42×C71C2211yescharacteristic, complemented
73#400×C71C2211yescharacteristic, complemented
74#399×C71C2211yescharacteristic
75#399×C71C2211yescharacteristic, complemented
76#399×C71C2211yescharacteristic, complemented
77#398×C71C2211yescharacteristic, complemented
78#398×C71C2211yescharacteristic, complemented
79#398×C71C2211yescharacteristic, complemented
80#398×C71C2211yescharacteristic, complemented
81#397×C71C2211yescharacteristic
82#397×C71C2211yescharacteristic, complemented
83#396×C71C2211yescharacteristic
84#396×C71C2211yescharacteristic
85#396×C71C2211yescharacteristic
86#396×C71C2211yescharacteristic, complemented
87#395×C71C2211yescharacteristic, complemented
88#395×C71C2211yescharacteristic, complemented
89#395×C71C2211yescharacteristic, complemented
90#394×C71C2211yescharacteristic
91#394×C71C2211yescharacteristic
92#394×C71C2211yescharacteristic
93#394×C71C2211yescharacteristic
94#394×C71C2211yescharacteristic
95#394×C71C2211yescharacteristic
96#394×C71C2211yescharacteristic, complemented
97#394×C71C2211yescharacteristic, complemented
98#393×C71C2211yescharacteristic
99#393×C71C2211yescharacteristic
100#393×C71C2211yescharacteristic, complemented
101#392×C71C2211yescharacteristic
102#392×C71C2211yescharacteristic
103#392×C71C2211yescharacteristic
104#392×C71C2211yescharacteristic, complemented
105#391×C71C2211yescharacteristic, complemented
106#390×C71C2211yescharacteristic
107#390×C71C2211yescharacteristic
108#390×C71C2211yescharacteristic
109#390×C71C2211yescharacteristic
110#390×C71C2211yescharacteristic
111#389×C71C2211yescharacteristic, complemented
112#389×C71C2211yescharacteristic, complemented
113#388×C71C2211yescharacteristic
114#388×C71C2211yescharacteristic
115#388×C71C2211yescharacteristic
116#388×C71C2211yescharacteristic
117#388×C71C2211yescharacteristic
118#388×C71C2211yescharacteristic
119#388×C71C2211yescharacteristic
120#388×C71C2211yescharacteristic
121#388×C71C2211yescharacteristic
122#388×C71C2211yescharacteristic
123#388×C71C2211yescharacteristic
124#388×C71C2211yescharacteristic
125#388×C71C2211yescharacteristic
126#388×C71C2211yescharacteristic
127#388×C71C2211yescharacteristic
128#388×C71C2211yescharacteristic
129#388×C71C2211yescharacteristic
130#388×C71C2211yescharacteristic, complemented
131#388×C71C2211yescharacteristic, complemented
132#388×C71C2211yescharacteristic, complemented
133#388×C71C2211yescharacteristic, complemented
134#388×C71C2211yescharacteristic, complemented
135#388×C71C2211yescharacteristic, complemented
136#388×C71C2211yescharacteristic, complemented
137#387×C71C2211yescharacteristic, complemented
138#387×C71C2211yescharacteristic, complemented
139#387×C71C2211yescharacteristic, complemented
140#387×C71C2211yescharacteristic, complemented
141#387×C71C2211yescharacteristic, complemented
142#387×C71C2211yescharacteristic, complemented
143#387×C71C2211yescharacteristic, complemented
144#387×C71C2211yescharacteristic, complemented
145#387×C71C2211yescharacteristic, complemented
146#387×C71C2211yescharacteristic, complemented
147#386×C71C2211yescharacteristic
148#386×C71C2211yescharacteristic
149#386×C71C2211yescharacteristic
150#386×C71C2211yescharacteristic
151#386×C71C2211yescharacteristic
152#386×C71C2211yescharacteristic
153#386×C71C2211yescharacteristic
154#386×C71C2211yescharacteristic
155#386×C71C2211yescharacteristic
156#386×C71C2211yescharacteristic
157#386×C71C2211yescharacteristic
158#386×C71C2211yescharacteristic
159#386×C71C2211yescharacteristic
160#386×C71C2211yescharacteristic
161#386×C71C2211yescharacteristic, complemented
162#386×C71C2211yescharacteristic, complemented
163#386×C71C2211yescharacteristic, complemented
164#386×C71C2211yescharacteristic, complemented
165#385×C71C2211yescharacteristic
166#385×C71C2211yescharacteristic
167#385×C71C2211yescharacteristic
168#385×C71C2211yescharacteristic
169#385×C71C2211yescharacteristic, complemented
170#385×C71C2211yescharacteristic, complemented
171#385×C71C2211yescharacteristic, complemented
172#385×C71C2211yescharacteristic, complemented
173#385×C71C2211yescharacteristic, complemented
174#385×C71C2211yescharacteristic, complemented
175#383×C71C2211yescharacteristic, complemented
176#382×C71C2211yescharacteristic, complemented
177#381×C71C2211yescharacteristic
178#381×C71C2211yescharacteristic, complemented
179#380×C71C2211yescharacteristic
180#380×C71C2211yescharacteristic, complemented
181#379×C71C2211yescharacteristic
182C4×C4⋊C4×C71C2211yescharacteristic, complemented
183C4×C4⋊C4×C71C2211yescharacteristic, complemented
184C4×C22⋊C4×C71C2211yescharacteristic
185C4×C22⋊C4×C71C2211yescharacteristic, complemented
186C4×C22⋊C4×C71C2211yescharacteristic, complemented
187C2×#95×C71C2211yescharacteristic
188C2×#95×C71C2211yescharacteristic
189C25×C71C2311yescharacteristic
190C2×#41×C71—24no—
191C2×#41×C71—24no—
192C2×#41×C71—24no—
193C22×Q8×C71C2311yescharacteristic
194C22×Q8×C71C2311yescharacteristic
195C22×D4×C71C2311yescharacteristic
196C22×D4×C71C2311yescharacteristic
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
207C23×C4×C71C2311yescharacteristic
208C23×C4×C71C2311yescharacteristic
209C23×C4×C71C2311yescharacteristic
210C23×C4×C71C2311yescharacteristic
211C23×C4×C71C2311yescharacteristic
212C23×C4×C71C2311yescharacteristic
213C23×C4×C71C2311yescharacteristic
214C23×C4×C71C2311yescharacteristic
215C23×C4×C71C2311yescharacteristic
216C23×C4×C71C2311yescharacteristic
217C23×C4×C71C2311yescharacteristic
218C23×C4×C71C2311yescharacteristic
219C23×C4×C71C2311yescharacteristic
220#126×C71—24no—
221#126×C71—24no—
222#124×C71—24no—
223#124×C71—24no—
224#123×C71—24no—
225#123×C71—24no—
226#123×C71—24no—
227#123×C71—42no—
228#123×C71—42no—
229C22⋊Q8×C71—24no—
230C22⋊Q8×C71—42no—
231#121×C71—24no—
232#121×C71—24no—
233#121×C71—24no—
234#121×C71—24no—
235#121×C71—42no—
236#120×C71—24no—
237#120×C71—24no—
238#120×C71—24no—
239C4×Q8×C71—24no—
240C4×Q8×C71—24no—
241C4×D4×C71—24no—
242C4×D4×C71—24no—
243C4×D4×C71—24no—
244C4×D4×C71—24no—
245C4×D4×C71—24no—
246C4×D4×C71—24no—
247C4×D4×C71D418yescomplemented
248#117×C71—24no—
249#117×C71—24no—
250#117×C71—24no—
251C2×C4⋊C4×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×C4⋊C4×C71C2311yescharacteristic
269C2×C4⋊C4×C71C2311yescharacteristic
270C2×C4⋊C4×C71C2311yescharacteristic
271C2×C4⋊C4×C71C2311yescharacteristic
272C2×C4⋊C4×C71C2311yescharacteristic
273C2×C4⋊C4×C71C2311yescharacteristic
274C2×C4⋊C4×C71C2311yescharacteristic
275C2×C4⋊C4×C71C2311yescharacteristic
276C2×C4⋊C4×C71C2311yescharacteristic
277C2×C4⋊C4×C71C2311yescharacteristic
278C2×C4⋊C4×C71C2311yescharacteristic
279C2×C4⋊C4×C71C2311yescharacteristic
280C2×C22⋊C4×C71—24no—
281C2×C22⋊C4×C71—24no—
282C2×C22⋊C4×C71—42no—
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×C22⋊C4×C71C2311yescharacteristic
333C2×C42×C71—24no—
334C2×C42×C71—24no—
335C2×C42×C71—24no—
336C2×C42×C71C2311yescharacteristic
337C2×C42×C71C2311yescharacteristic
338C2×C42×C71C2311yescharacteristic
339C2×C42×C71C2311yescharacteristic
340C2×C42×C71C2311yescharacteristic
341C2×C42×C71C2311yescharacteristic
342C2×C42×C71C2311yescharacteristic
343C2×C42×C71C2311yescharacteristic
344C2×C42×C71C2311yescharacteristic
345C2×C42×C71C2311yescharacteristic
346C2×C42×C71C2311yescharacteristic
347C2×C42×C71C2311yescharacteristic
348C2×C42×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
375#95×C71C2311yescharacteristic
376#95×C71C2311yescharacteristic
377#95×C71C2311yescharacteristic
378#95×C71C2311yescharacteristic
379#95×C71C2311yescharacteristic
380#95×C71C2311yescharacteristic
381#95×C71C2311yescharacteristic
382#95×C71C2311yescharacteristic
383#95×C71C2311yescharacteristic
384#95×C71C2311yescharacteristic
385C24×C71—22no—
386C24×C71—22no—
387C24×C71—22no—
388C24×C71—41no—
389C24×C71—41no—
390C24×C71—41no—
391C24×C71—41no—
392C24×C71C2411yescharacteristic
393C24×C71C2411yescharacteristic
394C24×C71C2411yescharacteristic
395C24×C71C2411yescharacteristic
396C24×C71C2411yescharacteristic
397C24×C71C2411yescharacteristic
398#41×C71—232no—
399C2×Q8×C71—22no—
400C2×Q8×C71—22no—
401C2×Q8×C71—22no—
402C2×Q8×C71—22no—
403C2×Q8×C71—41no—
404C2×Q8×C71—41no—
405C2×D4×C71—22no—
406C2×D4×C71—22no—
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—41no—
424C2×D4×C71—41no—
425C2×D4×C71—41no—
426C2×D4×C71—41no—
427C2×D4×C71—41no—
428C2×D4×C71—41no—
429C2×D4×C71—41no—
430C2×D4×C71—41no—
431C2×D4×C71—41no—
432C2×D4×C71—41no—
433C2×D4×C71—41no—
434C2×D4×C71—41no—
435C2×D4×C71—41no—
436C2×D4×C71—41no—
437C2×D4×C71—41no—
438C2×D4×C71—41no—
439C2×D4×C71C2×D414yes—
440C2×D4×C71#4114yes—
441C22×C4×C71—22no—
442C22×C4×C71—22no—
443C22×C4×C71—22no—
444C22×C4×C71—22no—
445C22×C4×C71—22no—
446C22×C4×C71—22no—
447C22×C4×C71—22no—
448C22×C4×C71—22no—
449C22×C4×C71—22no—
450C22×C4×C71—22no—
451C22×C4×C71—22no—
452C22×C4×C71—22no—
453C22×C4×C71—22no—
454C22×C4×C71—22no—
455C22×C4×C71—22no—
456C22×C4×C71—22no—
457C22×C4×C71—22no—
458C22×C4×C71—22no—
459C22×C4×C71—22no—
460C22×C4×C71—41no—
461C22×C4×C71—41no—
462C22×C4×C71—41no—
463C22×C4×C71—41no—
464C22×C4×C71—41no—
465C22×C4×C71—41no—
466C22×C4×C71—41no—
467C22×C4×C71—41no—
468C22×C4×C71—41no—
469C22×C4×C71—41no—
470C22×C4×C71—41no—
471C22×C4×C71—41no—
472C22×C4×C71—41no—
473C22×C4×C71—41no—
474C22×C4×C71—41no—
475C22×C4×C71—41no—
476C22×C4×C71—41no—
477C22×C4×C71C2×D414yes—
478C22×C4×C71C2×D414yes—
479C22×C4×C71#4114yes—
480C22×C4×C71C2411yescharacteristic
481C22×C4×C71C2411yescharacteristic
482C22×C4×C71C2411yescharacteristic
483C22×C4×C71C2411yescharacteristic
484C22×C4×C71C2411yescharacteristic
485C22×C4×C71C2411yescharacteristic
486C22×C4×C71C2411yescharacteristic
487C22×C4×C71C2411yescharacteristic
488C22×C4×C71C2411yescharacteristic
489C22×C4×C71C2411yescharacteristic
490C22×C4×C71C2411yescharacteristic
491C22×C4×C71C2411yescharacteristic
492C22×C4×C71C2411yescharacteristic
493C22×C4×C71C2411yescharacteristic
494C22×C4×C71C2411yescharacteristic
495C22×C4×C71C2411yescharacteristic
496C22×C4×C71C2411yescharacteristic
497C22×C4×C71C2411yescharacteristic
498C22×C4×C71C2411yescharacteristic
499C22×C4×C71C2411yescharacteristic
500C22×C4×C71C2411yescharacteristic
501C22×C4×C71C2411yescharacteristic
502C22×C4×C71C2411yescharacteristic
503C22×C4×C71C2411yescharacteristic
504C22×C4×C71C2411yescharacteristic
505C4⋊C4×C71—22no—
506C4⋊C4×C71—22no—
507C4⋊C4×C71—22no—
508C4⋊C4×C71—22no—
509C4⋊C4×C71—22no—
510C4⋊C4×C71—22no—
511C4⋊C4×C71—22no—
512C4⋊C4×C71—22no—
513C4⋊C4×C71—22no—
514C4⋊C4×C71—22no—
515C4⋊C4×C71—22no—
516C4⋊C4×C71—22no—
517C4⋊C4×C71—22no—
518C4⋊C4×C71—22no—
519C4⋊C4×C71—22no—
520C4⋊C4×C71—22no—
521C4⋊C4×C71—41no—
522C4⋊C4×C71—41no—
523C4⋊C4×C71—41no—
524C4⋊C4×C71—41no—
525C4⋊C4×C71—41no—
526C4⋊C4×C71—41no—
527C4⋊C4×C71—41no—
528C4⋊C4×C71—41no—
529C4⋊C4×C71—41no—
530C4⋊C4×C71—41no—
531C4⋊C4×C71—41no—
532C4⋊C4×C71C2×D414yes—
533C22⋊C4×C71—22no—
534C22⋊C4×C71—22no—
535C22⋊C4×C71—22no—
536C22⋊C4×C71—22no—
537C22⋊C4×C71—22no—
538C22⋊C4×C71—22no—
539C22⋊C4×C71—22no—
540C22⋊C4×C71—22no—
541C22⋊C4×C71—22no—
542C22⋊C4×C71—22no—
543C22⋊C4×C71—22no—
544C22⋊C4×C71—22no—
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—22no—
560C22⋊C4×C71—22no—
561C22⋊C4×C71—22no—
562C22⋊C4×C71—22no—
563C22⋊C4×C71—22no—
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×C71C2×D414yes—
582C22⋊C4×C71C2×D414yes—
583C42×C71—22no—
584C42×C71—22no—
585C42×C71—22no—
586C42×C71—22no—
587C42×C71—22no—
588C42×C71—22no—
589C42×C71—22no—
590C42×C71—22no—
591C42×C71—22no—
592C42×C71—22no—
593C42×C71—41no—
594C42×C71—41no—
595C42×C71C2×D414yes—
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—21no—
611C23×C71—21no—
612C23×C71—21no—
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—44no—
634C23×C71—44no—
635C23×C71—44no—
636C23×C71—82no—
637C23×C71—82no—
638C23×C71—82no—
639C23×C71—82no—
640C23×C71C22×D412yes—
641C23×C71C22×D412yes—
642C23×C71C2×#4112yes—
643C23×C71C2×#4112yes—
644C23×C71C2×#4112yes—
645C23×C71C2511yescharacteristic
646Q8×C71—28no—
647Q8×C71—82no—
648D4×C71—28no—
649D4×C71—28no—
650D4×C71—28no—
651D4×C71—44no—
652D4×C71—82no—
653D4×C71—82no—
654D4×C71—82no—
655D4×C71—82no—
656D4×C71—82no—
657D4×C71—82no—
658D4×C71—82no—
659D4×C71—82no—
660C2×C4×C71—28no—
661C2×C4×C71—28no—
662C2×C4×C71—28no—
663C2×C4×C71—21no—
664C2×C4×C71—21no—
665C2×C4×C71—21no—
666C2×C4×C71—21no—
667C2×C4×C71—21no—
668C2×C4×C71—21no—
669C2×C4×C71—21no—
670C2×C4×C71—21no—
671C2×C4×C71—21no—
672C2×C4×C71—21no—
673C2×C4×C71—21no—
674C2×C4×C71—21no—
675C2×C4×C71—21no—
676C2×C4×C71—21no—
677C2×C4×C71—21no—
678C2×C4×C71—21no—
679C2×C4×C71—21no—
680C2×C4×C71—21no—
681C2×C4×C71—21no—
682C2×C4×C71—21no—
683C2×C4×C71—21no—
684C2×C4×C71—21no—
685C2×C4×C71—21no—
686C2×C4×C71—21no—
687C2×C4×C71—21no—
688C2×C4×C71—21no—
689C2×C4×C71—21no—
690C2×C4×C71—21no—
691C2×C4×C71—21no—
692C2×C4×C71—21no—
693C2×C4×C71—21no—
694C2×C4×C71—21no—
695C2×C4×C71—21no—
696C2×C4×C71—21no—
697C2×C4×C71—21no—
698C2×C4×C71—21no—
699C2×C4×C71—21no—
700C2×C4×C71—21no—
701C2×C4×C71—21no—
702C2×C4×C71—21no—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—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—44no—
730C2×C4×C71—44no—
731C2×C4×C71—44no—
732C2×C4×C71—44no—
733C2×C4×C71—44no—
734C2×C4×C71—44no—
735C2×C4×C71—44no—
736C2×C4×C71—82no—
737C2×C4×C71—82no—
738C2×C4×C71—82no—
739C2×C4×C71C22×D412yes—
740C2×C4×C71C22×D412yes—
741C2×C4×C71C22×D412yes—
742C2×C4×C71C22×D412yes—
743C2×C4×C71C22×D412yes—
744C2×C4×C71C2×#4112yes—
745C2×C4×C71C2×#4112yes—
746C2×C4×C71C2×#4112yes—
747C2×C4×C71H(5,𝔽2)12yes—
748C22×C71—22no—
749C22×C71—22no—
750C22×C71—22no—
751C22×C71—22no—
752C22×C71—22no—
753C22×C71—22no—
754C22×C71—22no—
755C22×C71—22no—
756C22×C71—22no—
757C22×C71—22no—
758C22×C71—22no—
759C22×C71—22no—
760C22×C71—41no—
761C22×C71—41no—
762C22×C71—41no—
763C22×C71—41no—
764C22×C71—41no—
765C22×C71—41no—
766C22×C71—41no—
767C22×C71—41no—
768C22×C71—41no—
769C22×C71—41no—
770C22×C71—41no—
771C22×C71—41no—
772C22×C71—41no—
773C22×C71—41no—
774C22×C71—41no—
775C22×C71—41no—
776C22×C71—41no—
777C22×C71—41no—
778C22×C71—41no—
779C22×C71—41no—
780C22×C71—41no—
781C22×C71—41no—
782C22×C71—41no—
783C22×C71—41no—
784C22×C71—41no—
785C22×C71—41no—
786C22×C71—41no—
787C22×C71—41no—
788C22×C71—41no—
789C22×C71—88no—
790C22×C71#52514yes—
791C22×C71C23×D411yescharacteristic
792C22×C71C22×#4111yescharacteristic
793C22×C71C22×#4111yescharacteristic
794C22×C71C2×H(5,𝔽2)11yescharacteristic
795C22×C71#58511yescharacteristic
796C22×C71#58511yescharacteristic
797C22×C71#58511yescharacteristic
798C4×C71—22no—
799C4×C71—22no—
800C4×C71—22no—
801C4×C71—22no—
802C4×C71—22no—
803C4×C71—22no—
804C4×C71—22no—
805C4×C71—22no—
806C4×C71—22no—
807C4×C71—41no—
808C4×C71—41no—
809C4×C71—41no—
810C4×C71—41no—
811C4×C71—41no—
812C4×C71—41no—
813C4×C71—41no—
814C4×C71—41no—
815C4×C71—41no—
816C4×C71—41no—
817C4×C71—41no—
818C4×C71—41no—
819C4×C71—41no—
820C4×C71—41no—
821C4×C71—41no—
822C4×C71—41no—
823#35095C7111yesmaximal, characteristic, direct product factor, Sylow
824C2×C71—24no—
825C2×C71—42no—
826C2×C71—42no—
827C2×C71—81no—
828C2×C71—81no—
829C2×C71—81no—
830C2×C71C2×#52511yescharacteristic
831C2×C71#345511yescharacteristic
832C2×C71#346011yescharacteristic
833C2×C71#348511yescharacteristic
834C2×C71#348811yescharacteristic
835C2×C71#351411yescharacteristic
836C2×C71#352111yescharacteristic
837C2×#538C2×C7111yescharacteristic, complemented
838C2×C4×#41C2×C7111yescharacteristic, complemented
839#2854C2×C7111yescharacteristic, complemented
840#2853C2×C7111yescharacteristic, complemented
841#2852C2×C7111yescharacteristic, complemented
842#2850C2×C7111yescharacteristic, complemented
843#2637C2×C7111yescharacteristic, complemented
844#2635C2×C7111yescharacteristic, complemented
845#2632C2×C7111yescharacteristic, complemented
846#2630C2×C7111yescharacteristic, complemented
847#2479C2×C7111yescharacteristic, complemented
848#2476C2×C7111yescharacteristic, complemented
849#2474C2×C7111yescharacteristic, complemented
850#2471C2×C7111yescharacteristic, complemented
851#2469C2×C7111yescharacteristic, complemented
852#2464C2×C7111yescharacteristic, complemented
853#2461C2×C7111yescharacteristic, complemented
854#2458C2×C7111yescharacteristic, complemented
855#2449C2×C7111yescharacteristic, complemented
856#2443C2×C7111yescharacteristic, complemented
857#2438C2×C7111yescharacteristic, complemented
858#2430C2×C7111yescharacteristic, complemented
859#2424C2×C7111yescharacteristic, complemented
860#2418C2×C7111yescharacteristic, complemented
861#2411C2×C7111yescharacteristic, complemented
862#2404C2×C7111yescharacteristic, complemented
863#2325C2×C7111yescharacteristic, complemented
864#2321C2×C7111yescharacteristic, complemented
865#2318C2×C7111yescharacteristic, complemented
866C4×#123C2×C7111yescharacteristic, complemented
867C2×#388C2×C7111yescharacteristic, complemented
868C71#3509511yescharacteristic, direct product factor, Sylow
869C22×#41C22×C7111yescharacteristic
870#538—28no—
871C2×#126C22×C7111yescharacteristic
872C2×#126C22×C7111yescharacteristic
873C2×#124C22×C7111yescharacteristic
874C2×#124C22×C7111yescharacteristic
875C2×#123C22×C7111yescharacteristic
876C2×#123C22×C7111yescharacteristic
877C2×#123C22×C7111yescharacteristic
878C2×#123C22×C7111yescharacteristic
879C2×#123C22×C7111yescharacteristic, complemented
880C2×C22⋊Q8C22×C7111yescharacteristic
881C2×C22⋊Q8C22×C7111yescharacteristic, complemented
882C2×#121C22×C7111yescharacteristic
883C2×#121C22×C7111yescharacteristic
884C2×#121C22×C7111yescharacteristic
885C2×#121C22×C7111yescharacteristic
886C2×#121C22×C7111yescharacteristic
887C2×#120C22×C7111yescharacteristic
888C2×#120C22×C7111yescharacteristic
889C2×#120C22×C7111yescharacteristic
890C4×#41—28no—
891C2×C4×Q8C22×C7111yescharacteristic, complemented
892C2×C4×Q8C22×C7111yescharacteristic, complemented
893C2×C4×D4C22×C7111yescharacteristic
894C2×C4×D4C22×C7111yescharacteristic
895C2×C4×D4C22×C7111yescharacteristic
896C2×C4×D4C22×C7111yescharacteristic
897C2×C4×D4C22×C7111yescharacteristic
898C2×C4×D4C22×C7111yescharacteristic, complemented
899C2×C4×D4C22×C7111yescharacteristic, complemented
900C2×#117C22×C7111yescharacteristic
901C2×#117C22×C7111yescharacteristic, complemented
902C2×#117C22×C7111yescharacteristic, complemented
903C22×C4⋊C4C22×C7111yescharacteristic
904C22×C22⋊C4C22×C7111yescharacteristic
905C22×C22⋊C4C22×C7111yescharacteristic
906C22×C22⋊C4C22×C7111yescharacteristic
907C22×C42C22×C7111yescharacteristic
908C22×C42C22×C7111yescharacteristic, complemented
909C22×C42C22×C7111yescharacteristic, complemented
910#400C22×C7111yescharacteristic, complemented
911#399C22×C7111yescharacteristic
912#399C22×C7111yescharacteristic, complemented
913#399C22×C7111yescharacteristic, complemented
914#398C22×C7111yescharacteristic, complemented
915#398C22×C7111yescharacteristic, complemented
916#398C22×C7111yescharacteristic, complemented
917#398C22×C7111yescharacteristic, complemented
918#397C22×C7111yescharacteristic
919#397C22×C7111yescharacteristic, complemented
920#396C22×C7111yescharacteristic
921#396C22×C7111yescharacteristic
922#396C22×C7111yescharacteristic
923#396C22×C7111yescharacteristic, complemented
924#395C22×C7111yescharacteristic, complemented
925#395C22×C7111yescharacteristic, complemented
926#395C22×C7111yescharacteristic, complemented
927#394C22×C7111yescharacteristic
928#394C22×C7111yescharacteristic
929#394C22×C7111yescharacteristic
930#394C22×C7111yescharacteristic
931#394C22×C7111yescharacteristic
932#394C22×C7111yescharacteristic
933#394C22×C7111yescharacteristic, complemented
934#394C22×C7111yescharacteristic, complemented
935#393C22×C7111yescharacteristic
936#393C22×C7111yescharacteristic
937#393C22×C7111yescharacteristic, complemented
938#392C22×C7111yescharacteristic
939#392C22×C7111yescharacteristic
940#392C22×C7111yescharacteristic
941#392C22×C7111yescharacteristic, complemented
942#391C22×C7111yescharacteristic, complemented
943#390C22×C7111yescharacteristic
944#390C22×C7111yescharacteristic
945#390C22×C7111yescharacteristic
946#390C22×C7111yescharacteristic
947#390C22×C7111yescharacteristic
948#389C22×C7111yescharacteristic, complemented
949#389C22×C7111yescharacteristic, complemented
950#388C22×C7111yescharacteristic
951#388C22×C7111yescharacteristic
952#388C22×C7111yescharacteristic
953#388C22×C7111yescharacteristic
954#388C22×C7111yescharacteristic
955#388C22×C7111yescharacteristic
956#388C22×C7111yescharacteristic
957#388C22×C7111yescharacteristic
958#388C22×C7111yescharacteristic
959#388C22×C7111yescharacteristic
960#388C22×C7111yescharacteristic
961#388C22×C7111yescharacteristic
962#388C22×C7111yescharacteristic
963#388C22×C7111yescharacteristic
964#388C22×C7111yescharacteristic
965#388C22×C7111yescharacteristic
966#388C22×C7111yescharacteristic
967#388C22×C7111yescharacteristic, complemented
968#388C22×C7111yescharacteristic, complemented
969#388C22×C7111yescharacteristic, complemented
970#388C22×C7111yescharacteristic, complemented
971#388C22×C7111yescharacteristic, complemented
972#388C22×C7111yescharacteristic, complemented
973#388C22×C7111yescharacteristic, complemented
974#387C22×C7111yescharacteristic, complemented
975#387C22×C7111yescharacteristic, complemented
976#387C22×C7111yescharacteristic, complemented
977#387C22×C7111yescharacteristic, complemented
978#387C22×C7111yescharacteristic, complemented
979#387C22×C7111yescharacteristic, complemented
980#387C22×C7111yescharacteristic, complemented
981#387C22×C7111yescharacteristic, complemented
982#387C22×C7111yescharacteristic, complemented
983#387C22×C7111yescharacteristic, complemented
984#386C22×C7111yescharacteristic
985#386C22×C7111yescharacteristic
986#386C22×C7111yescharacteristic
987#386C22×C7111yescharacteristic
988#386C22×C7111yescharacteristic
989#386C22×C7111yescharacteristic
990#386C22×C7111yescharacteristic
991#386C22×C7111yescharacteristic
992#386C22×C7111yescharacteristic
993#386C22×C7111yescharacteristic
994#386C22×C7111yescharacteristic
995#386C22×C7111yescharacteristic
996#386C22×C7111yescharacteristic
997#386C22×C7111yescharacteristic
998#386C22×C7111yescharacteristic, complemented
999#386C22×C7111yescharacteristic, complemented
1000#386C22×C7111yescharacteristic, complemented
1001#386C22×C7111yescharacteristic, complemented
1002#385C22×C7111yescharacteristic
1003#385C22×C7111yescharacteristic
1004#385C22×C7111yescharacteristic
1005#385C22×C7111yescharacteristic
1006#385C22×C7111yescharacteristic, complemented
1007#385C22×C7111yescharacteristic, complemented
1008#385C22×C7111yescharacteristic, complemented
1009#385C22×C7111yescharacteristic, complemented
1010#385C22×C7111yescharacteristic, complemented
1011#385C22×C7111yescharacteristic, complemented
1012#383C22×C7111yescharacteristic, complemented
1013#382C22×C7111yescharacteristic, complemented
1014#381C22×C7111yescharacteristic
1015#381C22×C7111yescharacteristic, complemented
1016#380C22×C7111yescharacteristic
1017#380C22×C7111yescharacteristic, complemented
1018#379C22×C7111yescharacteristic
1019C4×C4⋊C4C22×C7111yescharacteristic, complemented
1020C4×C4⋊C4C22×C7111yescharacteristic, complemented
1021C4×C22⋊C4C22×C7111yescharacteristic
1022C4×C22⋊C4C22×C7111yescharacteristic, complemented
1023C4×C22⋊C4C22×C7111yescharacteristic, complemented
1024C2×#95C22×C7111yescharacteristic
1025C2×#95C22×C7111yescharacteristic
1026C25C23×C7111yescharacteristic
1027C2×#41—24no—
1028C2×#41—24no—
1029C2×#41—24no—
1030C22×Q8C23×C7111yescharacteristic
1031C22×Q8C23×C7111yescharacteristic
1032C22×D4C23×C7111yescharacteristic
1033C22×D4C23×C7111yescharacteristic
1034C22×D4C23×C7111yescharacteristic
1035C22×D4C23×C7111yescharacteristic
1036C22×D4C23×C7111yescharacteristic
1037C22×D4C23×C7111yescharacteristic
1038C22×D4C23×C7111yescharacteristic
1039C22×D4C23×C7111yescharacteristic
1040C22×D4C23×C7111yescharacteristic
1041C22×D4C23×C7111yescharacteristic
1042C22×D4C23×C7111yescharacteristic
1043C22×D4C23×C7111yescharacteristic
1044C23×C4C23×C7111yescharacteristic
1045C23×C4C23×C7111yescharacteristic
1046C23×C4C23×C7111yescharacteristic
1047C23×C4C23×C7111yescharacteristic
1048C23×C4C23×C7111yescharacteristic
1049C23×C4C23×C7111yescharacteristic
1050C23×C4C23×C7111yescharacteristic
1051C23×C4C23×C7111yescharacteristic
1052C23×C4C23×C7111yescharacteristic
1053C23×C4C23×C7111yescharacteristic
1054C23×C4C23×C7111yescharacteristic
1055C23×C4C23×C7111yescharacteristic
1056C23×C4C23×C7111yescharacteristic
1057#126—24no—
1058#126—24no—
1059#124—24no—
1060#124—24no—
1061#123—24no—
1062#123—24no—
1063#123—24no—
1064#123—42no—
1065#123—42no—
1066C22⋊Q8—24no—
1067C22⋊Q8—42no—
1068#121—24no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—42no—
1073#120—24no—
1074#120—24no—
1075#120—24no—
1076C4×Q8—24no—
1077C4×Q8—24no—
1078C4×D4—24no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—24no—
1083C4×D4—24no—
1084C4×D4D4×C7118yescomplemented
1085#117—24no—
1086#117—24no—
1087#117—24no—
1088C2×C4⋊C4—42no—
1089C2×C4⋊C4C23×C7111yescharacteristic
1090C2×C4⋊C4C23×C7111yescharacteristic
1091C2×C4⋊C4C23×C7111yescharacteristic
1092C2×C4⋊C4C23×C7111yescharacteristic
1093C2×C4⋊C4C23×C7111yescharacteristic
1094C2×C4⋊C4C23×C7111yescharacteristic
1095C2×C4⋊C4C23×C7111yescharacteristic
1096C2×C4⋊C4C23×C7111yescharacteristic
1097C2×C4⋊C4C23×C7111yescharacteristic
1098C2×C4⋊C4C23×C7111yescharacteristic
1099C2×C4⋊C4C23×C7111yescharacteristic
1100C2×C4⋊C4C23×C7111yescharacteristic
1101C2×C4⋊C4C23×C7111yescharacteristic
1102C2×C4⋊C4C23×C7111yescharacteristic
1103C2×C4⋊C4C23×C7111yescharacteristic
1104C2×C4⋊C4C23×C7111yescharacteristic
1105C2×C4⋊C4C23×C7111yescharacteristic
1106C2×C4⋊C4C23×C7111yescharacteristic
1107C2×C4⋊C4C23×C7111yescharacteristic
1108C2×C4⋊C4C23×C7111yescharacteristic
1109C2×C4⋊C4C23×C7111yescharacteristic
1110C2×C4⋊C4C23×C7111yescharacteristic
1111C2×C4⋊C4C23×C7111yescharacteristic
1112C2×C4⋊C4C23×C7111yescharacteristic
1113C2×C4⋊C4C23×C7111yescharacteristic
1114C2×C4⋊C4C23×C7111yescharacteristic
1115C2×C4⋊C4C23×C7111yescharacteristic
1116C2×C4⋊C4C23×C7111yescharacteristic
1117C2×C22⋊C4—24no—
1118C2×C22⋊C4—24no—
1119C2×C22⋊C4—42no—
1120C2×C22⋊C4C23×C7111yescharacteristic
1121C2×C22⋊C4C23×C7111yescharacteristic
1122C2×C22⋊C4C23×C7111yescharacteristic
1123C2×C22⋊C4C23×C7111yescharacteristic
1124C2×C22⋊C4C23×C7111yescharacteristic
1125C2×C22⋊C4C23×C7111yescharacteristic
1126C2×C22⋊C4C23×C7111yescharacteristic
1127C2×C22⋊C4C23×C7111yescharacteristic
1128C2×C22⋊C4C23×C7111yescharacteristic
1129C2×C22⋊C4C23×C7111yescharacteristic
1130C2×C22⋊C4C23×C7111yescharacteristic
1131C2×C22⋊C4C23×C7111yescharacteristic
1132C2×C22⋊C4C23×C7111yescharacteristic
1133C2×C22⋊C4C23×C7111yescharacteristic
1134C2×C22⋊C4C23×C7111yescharacteristic
1135C2×C22⋊C4C23×C7111yescharacteristic
1136C2×C22⋊C4C23×C7111yescharacteristic
1137C2×C22⋊C4C23×C7111yescharacteristic
1138C2×C22⋊C4C23×C7111yescharacteristic
1139C2×C22⋊C4C23×C7111yescharacteristic
1140C2×C22⋊C4C23×C7111yescharacteristic
1141C2×C22⋊C4C23×C7111yescharacteristic
1142C2×C22⋊C4C23×C7111yescharacteristic
1143C2×C22⋊C4C23×C7111yescharacteristic
1144C2×C22⋊C4C23×C7111yescharacteristic
1145C2×C22⋊C4C23×C7111yescharacteristic
1146C2×C22⋊C4C23×C7111yescharacteristic
1147C2×C22⋊C4C23×C7111yescharacteristic
1148C2×C22⋊C4C23×C7111yescharacteristic
1149C2×C22⋊C4C23×C7111yescharacteristic
1150C2×C22⋊C4C23×C7111yescharacteristic
1151C2×C22⋊C4C23×C7111yescharacteristic
1152C2×C22⋊C4C23×C7111yescharacteristic
1153C2×C22⋊C4C23×C7111yescharacteristic
1154C2×C22⋊C4C23×C7111yescharacteristic
1155C2×C22⋊C4C23×C7111yescharacteristic
1156C2×C22⋊C4C23×C7111yescharacteristic
1157C2×C22⋊C4C23×C7111yescharacteristic
1158C2×C22⋊C4C23×C7111yescharacteristic
1159C2×C22⋊C4C23×C7111yescharacteristic
1160C2×C22⋊C4C23×C7111yescharacteristic
1161C2×C22⋊C4C23×C7111yescharacteristic
1162C2×C22⋊C4C23×C7111yescharacteristic
1163C2×C22⋊C4C23×C7111yescharacteristic
1164C2×C22⋊C4C23×C7111yescharacteristic
1165C2×C22⋊C4C23×C7111yescharacteristic
1166C2×C22⋊C4C23×C7111yescharacteristic
1167C2×C22⋊C4C23×C7111yescharacteristic
1168C2×C22⋊C4C23×C7111yescharacteristic
1169C2×C22⋊C4C23×C7111yescharacteristic
1170C2×C42—24no—
1171C2×C42—24no—
1172C2×C42—24no—
1173C2×C42C23×C7111yescharacteristic
1174C2×C42C23×C7111yescharacteristic
1175C2×C42C23×C7111yescharacteristic
1176C2×C42C23×C7111yescharacteristic
1177C2×C42C23×C7111yescharacteristic
1178C2×C42C23×C7111yescharacteristic
1179C2×C42C23×C7111yescharacteristic
1180C2×C42C23×C7111yescharacteristic
1181C2×C42C23×C7111yescharacteristic
1182C2×C42C23×C7111yescharacteristic
1183C2×C42C23×C7111yescharacteristic
1184C2×C42C23×C7111yescharacteristic
1185C2×C42C23×C7111yescharacteristic
1186#95C23×C7111yescharacteristic
1187#95C23×C7111yescharacteristic
1188#95C23×C7111yescharacteristic
1189#95C23×C7111yescharacteristic
1190#95C23×C7111yescharacteristic
1191#95C23×C7111yescharacteristic
1192#95C23×C7111yescharacteristic
1193#95C23×C7111yescharacteristic
1194#95C23×C7111yescharacteristic
1195#95C23×C7111yescharacteristic
1196#95C23×C7111yescharacteristic
1197#95C23×C7111yescharacteristic
1198#95C23×C7111yescharacteristic
1199#95C23×C7111yescharacteristic
1200#95C23×C7111yescharacteristic
1201#95C23×C7111yescharacteristic
1202#95C23×C7111yescharacteristic
1203#95C23×C7111yescharacteristic
1204#95C23×C7111yescharacteristic
1205#95C23×C7111yescharacteristic
1206#95C23×C7111yescharacteristic
1207#95C23×C7111yescharacteristic
1208#95C23×C7111yescharacteristic
1209#95C23×C7111yescharacteristic
1210#95C23×C7111yescharacteristic
1211#95C23×C7111yescharacteristic
1212#95C23×C7111yescharacteristic
1213#95C23×C7111yescharacteristic
1214#95C23×C7111yescharacteristic
1215#95C23×C7111yescharacteristic
1216#95C23×C7111yescharacteristic
1217#95C23×C7111yescharacteristic
1218#95C23×C7111yescharacteristic
1219#95C23×C7111yescharacteristic
1220#95C23×C7111yescharacteristic
1221#95C23×C7111yescharacteristic
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24C24×C7111yescharacteristic
1230C24C24×C7111yescharacteristic
1231C24C24×C7111yescharacteristic
1232C24C24×C7111yescharacteristic
1233C24C24×C7111yescharacteristic
1234C24C24×C7111yescharacteristic
1235#41—232no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—41no—
1241C2×Q8—41no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4C2×D4×C7114yes—
1277C2×D4#41×C7114yes—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4C2×D4×C7114yes—
1315C22×C4C2×D4×C7114yes—
1316C22×C4#41×C7114yes—
1317C22×C4C24×C7111yescharacteristic
1318C22×C4C24×C7111yescharacteristic
1319C22×C4C24×C7111yescharacteristic
1320C22×C4C24×C7111yescharacteristic
1321C22×C4C24×C7111yescharacteristic
1322C22×C4C24×C7111yescharacteristic
1323C22×C4C24×C7111yescharacteristic
1324C22×C4C24×C7111yescharacteristic
1325C22×C4C24×C7111yescharacteristic
1326C22×C4C24×C7111yescharacteristic
1327C22×C4C24×C7111yescharacteristic
1328C22×C4C24×C7111yescharacteristic
1329C22×C4C24×C7111yescharacteristic
1330C22×C4C24×C7111yescharacteristic
1331C22×C4C24×C7111yescharacteristic
1332C22×C4C24×C7111yescharacteristic
1333C22×C4C24×C7111yescharacteristic
1334C22×C4C24×C7111yescharacteristic
1335C22×C4C24×C7111yescharacteristic
1336C22×C4C24×C7111yescharacteristic
1337C22×C4C24×C7111yescharacteristic
1338C22×C4C24×C7111yescharacteristic
1339C22×C4C24×C7111yescharacteristic
1340C22×C4C24×C7111yescharacteristic
1341C22×C4C24×C7111yescharacteristic
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—41no—
1366C4⋊C4—41no—
1367C4⋊C4—41no—
1368C4⋊C4—41no—
1369C4⋊C4C2×D4×C7114yes—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4C2×D4×C7114yes—
1419C22⋊C4C2×D4×C7114yes—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—22no—
1424C42—22no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—22no—
1430C42—41no—
1431C42—41no—
1432C42C2×D4×C7114yes—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—44no—
1471C23—44no—
1472C23—44no—
1473C23—82no—
1474C23—82no—
1475C23—82no—
1476C23—82no—
1477C23C22×D4×C7112yes—
1478C23C22×D4×C7112yes—
1479C23C2×#41×C7112yes—
1480C23C2×#41×C7112yes—
1481C23C2×#41×C7112yes—
1482C23C25×C7111yescharacteristic
1483Q8—28no—
1484Q8—82no—
1485D4—28no—
1486D4—28no—
1487D4—28no—
1488D4—44no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493D4—82no—
1494D4—82no—
1495D4—82no—
1496D4—82no—
1497C2×C4—28no—
1498C2×C4—28no—
1499C2×C4—28no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—82no—
1574C2×C4—82no—
1575C2×C4—82no—
1576C2×C4C22×D4×C7112yes—
1577C2×C4C22×D4×C7112yes—
1578C2×C4C22×D4×C7112yes—
1579C2×C4C22×D4×C7112yes—
1580C2×C4C22×D4×C7112yes—
1581C2×C4C2×#41×C7112yes—
1582C2×C4C2×#41×C7112yes—
1583C2×C4C2×#41×C7112yes—
1584C2×C4H(5,𝔽2)×C7112yes—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—88no—
1627C22#525×C7114yes—
1628C22C23×D4×C7111yescharacteristic
1629C22C22×#41×C7111yescharacteristic
1630C22C22×#41×C7111yescharacteristic
1631C22C2×H(5,𝔽2)×C7111yescharacteristic
1632C22#585×C7111yescharacteristic
1633C22#585×C7111yescharacteristic
1634C22#585×C7111yescharacteristic
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—22no—
1640C4—22no—
1641C4—22no—
1642C4—22no—
1643C4—22no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C2—24no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C2×#525×C7111yescharacteristic
1667C2C71×#345511yescharacteristic
1668C2C71×#346011yescharacteristic
1669C2C71×#348511yescharacteristic
1670C2C71×#348811yescharacteristic
1671C2C71×#351411yescharacteristic
1672C2C71×#352111yescharacteristic
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. C2×#538×C71C2semidirect
2. C2×C4×#41×C71C2semidirect
3. C71×#2854C2semidirect
4. C71×#2853C2semidirect
5. C71×#2852C2semidirect
6. C71×#2850C2semidirect
7. C71×#2637C2semidirect
8. C71×#2635C2semidirect
9. C71×#2632C2semidirect
10. C71×#2630C2semidirect
11. C71×#2479C2semidirect
12. C71×#2476C2semidirect
13. C71×#2474C2semidirect
14. C71×#2471C2semidirect
15. C71×#2469C2semidirect
16. C71×#2464C2semidirect
17. C71×#2461C2semidirect
18. C71×#2458C2semidirect
19. C71×#2449C2semidirect
20. C71×#2443C2semidirect
21. C71×#2438C2semidirect
22. C71×#2430C2semidirect
23. C71×#2424C2semidirect
24. C71×#2418C2semidirect
25. C71×#2411C2semidirect
26. C71×#2404C2semidirect
27. C71×#2325C2semidirect
28. C71×#2321C2semidirect
29. C71×#2318C2semidirect
30. C4×#123×C71C2semidirect
31. C2×#388×C71C2semidirect
42. C2×#123×C71C22semidirect
44. C2×C22⋊Q8×C71C22semidirect
54. C2×C4×Q8×C71C22semidirect
55. C2×C4×Q8×C71C22semidirect
61. C2×C4×D4×C71C22semidirect
62. C2×C4×D4×C71C22semidirect
64. C2×#117×C71C22semidirect
65. C2×#117×C71C22semidirect
71. C22×C42×C71C22semidirect
72. C22×C42×C71C22semidirect
73. #400×C71C22semidirect
75. #399×C71C22semidirect
76. #399×C71C22semidirect
77. #398×C71C22semidirect
78. #398×C71C22semidirect
79. #398×C71C22semidirect
80. #398×C71C22semidirect
82. #397×C71C22semidirect
86. #396×C71C22semidirect
87. #395×C71C22semidirect
88. #395×C71C22semidirect
89. #395×C71C22semidirect
96. #394×C71C22semidirect
97. #394×C71C22semidirect
100. #393×C71C22semidirect
104. #392×C71C22semidirect
105. #391×C71C22semidirect
111. #389×C71C22semidirect
112. #389×C71C22semidirect
130. #388×C71C22semidirect
131. #388×C71C22semidirect
132. #388×C71C22semidirect
133. #388×C71C22semidirect
134. #388×C71C22semidirect
135. #388×C71C22semidirect
136. #388×C71C22semidirect
137. #387×C71C22semidirect
138. #387×C71C22semidirect
139. #387×C71C22semidirect
140. #387×C71C22semidirect
141. #387×C71C22semidirect
142. #387×C71C22semidirect
143. #387×C71C22semidirect
144. #387×C71C22semidirect
145. #387×C71C22semidirect
146. #387×C71C22semidirect
161. #386×C71C22semidirect
162. #386×C71C22semidirect
163. #386×C71C22semidirect
164. #386×C71C22semidirect
169. #385×C71C22semidirect
170. #385×C71C22semidirect
171. #385×C71C22semidirect
172. #385×C71C22semidirect
173. #385×C71C22semidirect
174. #385×C71C22semidirect
175. #383×C71C22semidirect
176. #382×C71C22semidirect
178. #381×C71C22semidirect
180. #380×C71C22semidirect
182. C4×C4⋊C4×C71C22semidirect
183. C4×C4⋊C4×C71C22semidirect
185. C4×C22⋊C4×C71C22semidirect
186. C4×C22⋊C4×C71C22semidirect
247. C4×D4×C71D4semidirect
823. #35095C71direct (N × H)
837. C2×#538C2×C71semidirect
838. C2×C4×#41C2×C71semidirect
839. #2854C2×C71semidirect
840. #2853C2×C71semidirect
841. #2852C2×C71semidirect
842. #2850C2×C71semidirect
843. #2637C2×C71semidirect
844. #2635C2×C71semidirect
845. #2632C2×C71semidirect
846. #2630C2×C71semidirect
847. #2479C2×C71semidirect
848. #2476C2×C71semidirect
849. #2474C2×C71semidirect
850. #2471C2×C71semidirect
851. #2469C2×C71semidirect
852. #2464C2×C71semidirect
853. #2461C2×C71semidirect
854. #2458C2×C71semidirect
855. #2449C2×C71semidirect
856. #2443C2×C71semidirect
857. #2438C2×C71semidirect
858. #2430C2×C71semidirect
859. #2424C2×C71semidirect
860. #2418C2×C71semidirect
861. #2411C2×C71semidirect
862. #2404C2×C71semidirect
863. #2325C2×C71semidirect
864. #2321C2×C71semidirect
865. #2318C2×C71semidirect
866. C4×#123C2×C71semidirect
867. C2×#388C2×C71semidirect
868. C71#35095direct (N × H)
879. C2×#123C22×C71semidirect
881. C2×C22⋊Q8C22×C71semidirect
891. C2×C4×Q8C22×C71semidirect
892. C2×C4×Q8C22×C71semidirect
898. C2×C4×D4C22×C71semidirect
899. C2×C4×D4C22×C71semidirect
901. C2×#117C22×C71semidirect
902. C2×#117C22×C71semidirect
908. C22×C42C22×C71semidirect
909. C22×C42C22×C71semidirect
910. #400C22×C71semidirect
912. #399C22×C71semidirect
913. #399C22×C71semidirect
914. #398C22×C71semidirect
915. #398C22×C71semidirect
916. #398C22×C71semidirect
917. #398C22×C71semidirect
919. #397C22×C71semidirect
923. #396C22×C71semidirect
924. #395C22×C71semidirect
925. #395C22×C71semidirect
926. #395C22×C71semidirect
933. #394C22×C71semidirect
934. #394C22×C71semidirect
937. #393C22×C71semidirect
941. #392C22×C71semidirect
942. #391C22×C71semidirect
948. #389C22×C71semidirect
949. #389C22×C71semidirect
967. #388C22×C71semidirect
968. #388C22×C71semidirect
969. #388C22×C71semidirect
970. #388C22×C71semidirect
971. #388C22×C71semidirect
972. #388C22×C71semidirect
973. #388C22×C71semidirect
974. #387C22×C71semidirect
975. #387C22×C71semidirect
976. #387C22×C71semidirect
977. #387C22×C71semidirect
978. #387C22×C71semidirect
979. #387C22×C71semidirect
980. #387C22×C71semidirect
981. #387C22×C71semidirect
982. #387C22×C71semidirect
983. #387C22×C71semidirect
998. #386C22×C71semidirect
999. #386C22×C71semidirect
1000. #386C22×C71semidirect
1001. #386C22×C71semidirect
1006. #385C22×C71semidirect
1007. #385C22×C71semidirect
1008. #385C22×C71semidirect
1009. #385C22×C71semidirect
1010. #385C22×C71semidirect
1011. #385C22×C71semidirect
1012. #383C22×C71semidirect
1013. #382C22×C71semidirect
1015. #381C22×C71semidirect
1017. #380C22×C71semidirect
1019. C4×C4⋊C4C22×C71semidirect
1020. C4×C4⋊C4C22×C71semidirect
1022. C4×C22⋊C4C22×C71semidirect
1023. C4×C22⋊C4C22×C71semidirect
1084. C4×D4D4×C71semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C712
C2×C4×#41×C712
C71×#28542
C71×#28532
C71×#28522
C71×#28502
C71×#26372
C71×#26352
C71×#26322
C71×#26302
C71×#24792
C71×#24762
C71×#24742
C71×#24712
C71×#24692
C71×#24642
C71×#24612
C71×#24582
C71×#24492
C71×#24432
C71×#24382
C71×#24302
C71×#24242
C71×#24182
C71×#24112
C71×#24042
C71×#23252
C71×#23212
C71×#23182
C4×#123×C712
C2×#388×C712
#3509571