Finite Group Databasebeta

← C71×#35009 #31855881

Subgroups — C71×#35009 #31855881

Order 18176.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#539×C71C211yesmaximal, characteristic, complemented
2C2×#538×C71C211yesmaximal, characteristic, complemented
3C71×#2861C211yesmaximal, characteristic, complemented
4C71×#2860C211yesmaximal, characteristic, complemented
5C71×#2854C211yesmaximal, characteristic, complemented
6C71×#2850C211yesmaximal, characteristic, complemented
7C71×#2664C211yesmaximal, characteristic, complemented
8C71×#2663C211yesmaximal, characteristic, complemented
9C71×#2662C211yesmaximal, characteristic, complemented
10C71×#2661C211yesmaximal, characteristic, complemented
11C71×#2560C211yesmaximal, characteristic, complemented
12C71×#2559C211yesmaximal, characteristic, complemented
13C71×#2558C211yesmaximal, characteristic, complemented
14C71×#2557C211yesmaximal, characteristic, complemented
15C71×#2549C211yesmaximal, characteristic, complemented
16C71×#2543C211yesmaximal, characteristic, complemented
17C71×#2539C211yesmaximal, characteristic, complemented
18C71×#2534C211yesmaximal, characteristic, complemented
19C71×#2521C211yesmaximal, characteristic, complemented
20C71×#2519C211yesmaximal, characteristic, complemented
21C71×#2488C211yesmaximal, characteristic, complemented
22C71×#2472C211yesmaximal, characteristic, complemented
23C71×#2464C211yesmaximal, characteristic, complemented
24C71×#2461C211yesmaximal, characteristic, complemented
25C71×#2425C211yesmaximal, characteristic, complemented
26C71×#2424C211yesmaximal, characteristic, complemented
27C71×#2322C211yesmaximal, characteristic, complemented
28C71×#2321C211yesmaximal, characteristic, complemented
29C4×#121×C71C211yesmaximal, characteristic, complemented
30C2×#388×C71C211yesmaximal, characteristic, complemented
31C42×D4×C71C211yesmaximal, characteristic, complemented
32#539×C71—28no—
33#538×C71—28no—
34C2×#126×C71C2211yescharacteristic
35C2×#126×C71C2211yescharacteristic
36C2×#126×C71C2211yescharacteristic, complemented
37C2×#126×C71C2211yescharacteristic, complemented
38C2×#125×C71C2211yescharacteristic, complemented
39C2×#125×C71C2211yescharacteristic, complemented
40C2×#124×C71C2211yescharacteristic
41C2×#124×C71C2211yescharacteristic
42C2×#124×C71C2211yescharacteristic
43C2×#123×C71C2211yescharacteristic
44C2×#123×C71C2211yescharacteristic
45C2×#123×C71C2211yescharacteristic
46C2×#123×C71C2211yescharacteristic
47C2×#123×C71C2211yescharacteristic
48C2×#123×C71C2211yescharacteristic, complemented
49C2×#123×C71C2211yescharacteristic, complemented
50C2×C22⋊Q8×C71C2211yescharacteristic
51C2×C22⋊Q8×C71C2211yescharacteristic
52C2×C22⋊Q8×C71C2211yescharacteristic, complemented
53C2×C22⋊Q8×C71C2211yescharacteristic, complemented
54C2×#121×C71C2211yescharacteristic
55C2×#121×C71C2211yescharacteristic
56C2×#121×C71C2211yescharacteristic
57C2×#121×C71C2211yescharacteristic
58C2×#121×C71C2211yescharacteristic
59C2×#121×C71C2211yescharacteristic
60C2×#120×C71C2211yescharacteristic
61C2×#120×C71C2211yescharacteristic
62C2×#120×C71C2211yescharacteristic
63C2×C4×D4×C71C2211yescharacteristic
64C2×C4×D4×C71C2211yescharacteristic
65C2×C4×D4×C71C2211yescharacteristic
66C2×C4×D4×C71C2211yescharacteristic
67C2×C4×D4×C71C2211yescharacteristic
68C2×C4×D4×C71C2211yescharacteristic, complemented
69C22×C4⋊C4×C71C2211yescharacteristic
70C22×C22⋊C4×C71C2211yescharacteristic
71C22×C22⋊C4×C71C2211yescharacteristic
72C22×C22⋊C4×C71C2211yescharacteristic
73C22×C42×C71C2211yescharacteristic
74C22×C42×C71C2211yescharacteristic, complemented
75#400×C71C2211yescharacteristic, complemented
76#400×C71C2211yescharacteristic, complemented
77#399×C71C2211yescharacteristic
78#399×C71C2211yescharacteristic
79#398×C71C2211yescharacteristic, complemented
80#398×C71C2211yescharacteristic, complemented
81#398×C71C2211yescharacteristic, complemented
82#398×C71C2211yescharacteristic, complemented
83#397×C71C2211yescharacteristic
84#397×C71C2211yescharacteristic, complemented
85#397×C71C2211yescharacteristic, complemented
86#397×C71C2211yescharacteristic, complemented
87#396×C71C2211yescharacteristic
88#396×C71C2211yescharacteristic
89#396×C71C2211yescharacteristic
90#396×C71C2211yescharacteristic, complemented
91#395×C71C2211yescharacteristic, complemented
92#395×C71C2211yescharacteristic, complemented
93#394×C71C2211yescharacteristic
94#394×C71C2211yescharacteristic
95#394×C71C2211yescharacteristic
96#394×C71C2211yescharacteristic
97#394×C71C2211yescharacteristic
98#394×C71C2211yescharacteristic
99#394×C71C2211yescharacteristic, complemented
100#394×C71C2211yescharacteristic, complemented
101#393×C71C2211yescharacteristic
102#393×C71C2211yescharacteristic, complemented
103#392×C71C2211yescharacteristic
104#392×C71C2211yescharacteristic
105#392×C71C2211yescharacteristic
106#392×C71C2211yescharacteristic, complemented
107#391×C71C2211yescharacteristic, complemented
108#391×C71C2211yescharacteristic, complemented
109#391×C71C2211yescharacteristic, complemented
110#390×C71C2211yescharacteristic
111#390×C71C2211yescharacteristic
112#390×C71C2211yescharacteristic
113#390×C71C2211yescharacteristic
114#390×C71C2211yescharacteristic
115#390×C71C2211yescharacteristic
116#390×C71C2211yescharacteristic
117#390×C71C2211yescharacteristic
118#390×C71C2211yescharacteristic, complemented
119#389×C71C2211yescharacteristic, complemented
120#389×C71C2211yescharacteristic, complemented
121#389×C71C2211yescharacteristic, complemented
122#389×C71C2211yescharacteristic, complemented
123#389×C71C2211yescharacteristic, complemented
124#389×C71C2211yescharacteristic, complemented
125#388×C71C2211yescharacteristic
126#388×C71C2211yescharacteristic
127#388×C71C2211yescharacteristic
128#388×C71C2211yescharacteristic
129#388×C71C2211yescharacteristic
130#388×C71C2211yescharacteristic
131#388×C71C2211yescharacteristic
132#388×C71C2211yescharacteristic
133#388×C71C2211yescharacteristic
134#388×C71C2211yescharacteristic
135#388×C71C2211yescharacteristic
136#388×C71C2211yescharacteristic
137#388×C71C2211yescharacteristic
138#388×C71C2211yescharacteristic
139#388×C71C2211yescharacteristic
140#388×C71C2211yescharacteristic
141#388×C71C2211yescharacteristic
142#388×C71C2211yescharacteristic, complemented
143#388×C71C2211yescharacteristic, complemented
144#388×C71C2211yescharacteristic, complemented
145#388×C71C2211yescharacteristic, complemented
146#388×C71C2211yescharacteristic, complemented
147#388×C71C2211yescharacteristic, complemented
148#388×C71C2211yescharacteristic, complemented
149#388×C71C2211yescharacteristic, complemented
150#388×C71C2211yescharacteristic, complemented
151#387×C71C2211yescharacteristic, complemented
152#387×C71C2211yescharacteristic, complemented
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
162#386×C71C2211yescharacteristic, complemented
163#386×C71C2211yescharacteristic, complemented
164#386×C71C2211yescharacteristic, complemented
165#385×C71C2211yescharacteristic
166#385×C71C2211yescharacteristic
167#385×C71C2211yescharacteristic, complemented
168#385×C71C2211yescharacteristic, complemented
169#382×C71C2211yescharacteristic, complemented
170#381×C71C2211yescharacteristic
171#380×C71C2211yescharacteristic
172#380×C71C2211yescharacteristic, complemented
173#379×C71C2211yescharacteristic
174C4×C4⋊C4×C71C2211yescharacteristic, complemented
175C4×C4⋊C4×C71C2211yescharacteristic, complemented
176C4×C4⋊C4×C71C2211yescharacteristic, complemented
177C4×C4⋊C4×C71C2211yescharacteristic, complemented
178C4×C22⋊C4×C71C2211yescharacteristic
179C4×C22⋊C4×C71C2211yescharacteristic
180C4×C22⋊C4×C71C2211yescharacteristic
181C4×C22⋊C4×C71C2211yescharacteristic, complemented
182C4×C22⋊C4×C71C2211yescharacteristic, complemented
183C4×C22⋊C4×C71C2211yescharacteristic, complemented
184C4×C22⋊C4×C71C2211yescharacteristic, complemented
185C4×C22⋊C4×C71C2211yescharacteristic, complemented
186C2×#95×C71C2211yescharacteristic
187C2×#95×C71C2211yescharacteristic
188C43×C71C2211yescharacteristic, complemented
189C25×C71C2311yescharacteristic
190C22×Q8×C71C2311yescharacteristic
191C22×Q8×C71C2311yescharacteristic
192C22×D4×C71C2311yescharacteristic
193C22×D4×C71C2311yescharacteristic
194C22×D4×C71C2311yescharacteristic
195C22×D4×C71C2311yescharacteristic
196C22×D4×C71C2311yescharacteristic
197C22×D4×C71C2311yescharacteristic
198C22×D4×C71C2311yescharacteristic
199C22×D4×C71C2311yescharacteristic
200C22×D4×C71C2311yescharacteristic
201C22×D4×C71C2311yescharacteristic
202C22×D4×C71C2311yescharacteristic
203C22×D4×C71C2311yescharacteristic
204C23×C4×C71C2311yescharacteristic
205C23×C4×C71C2311yescharacteristic
206C23×C4×C71C2311yescharacteristic
207C23×C4×C71C2311yescharacteristic
208C23×C4×C71C2311yescharacteristic
209C23×C4×C71C2311yescharacteristic
210C23×C4×C71C2311yescharacteristic
211C23×C4×C71C2311yescharacteristic
212C23×C4×C71C2311yescharacteristic
213C23×C4×C71C2311yescharacteristic
214C23×C4×C71C2311yescharacteristic
215#126×C71—24no—
216#126×C71—24no—
217#126×C71—24no—
218#126×C71—24no—
219#125×C71—24no—
220#125×C71—24no—
221#124×C71—24no—
222#124×C71—24no—
223#124×C71—42no—
224#123×C71—24no—
225#123×C71—24no—
226#123×C71—24no—
227#123×C71—24no—
228#123×C71—24no—
229#123×C71—24no—
230#123×C71—24no—
231C22⋊Q8×C71—24no—
232C22⋊Q8×C71—24no—
233C22⋊Q8×C71—24no—
234C22⋊Q8×C71—24no—
235#121×C71—24no—
236#121×C71—24no—
237#121×C71—24no—
238#121×C71—24no—
239#121×C71—24no—
240#121×C71—42no—
241#120×C71—24no—
242#120×C71—24no—
243#120×C71—24no—
244C4×D4×C71—24no—
245C4×D4×C71—24no—
246C4×D4×C71—24no—
247C4×D4×C71—24no—
248C4×D4×C71—42no—
249C4×D4×C71D418yescomplemented
250C2×C4⋊C4×C71—24no—
251C2×C4⋊C4×C71C2311yescharacteristic
252C2×C4⋊C4×C71C2311yescharacteristic
253C2×C4⋊C4×C71C2311yescharacteristic
254C2×C4⋊C4×C71C2311yescharacteristic
255C2×C4⋊C4×C71C2311yescharacteristic
256C2×C4⋊C4×C71C2311yescharacteristic
257C2×C4⋊C4×C71C2311yescharacteristic
258C2×C4⋊C4×C71C2311yescharacteristic
259C2×C4⋊C4×C71C2311yescharacteristic
260C2×C4⋊C4×C71C2311yescharacteristic
261C2×C4⋊C4×C71C2311yescharacteristic
262C2×C4⋊C4×C71C2311yescharacteristic
263C2×C4⋊C4×C71C2311yescharacteristic
264C2×C4⋊C4×C71C2311yescharacteristic
265C2×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×C4⋊C4×C71C2311yescharacteristic
281C2×C22⋊C4×C71—24no—
282C2×C22⋊C4×C71—24no—
283C2×C22⋊C4×C71—42no—
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×C22⋊C4×C71C2311yescharacteristic
334C2×C22⋊C4×C71C2311yescharacteristic
335C2×C22⋊C4×C71C2311yescharacteristic
336C2×C42×C71—42no—
337C2×C42×C71—42no—
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
349C2×C42×C71C2311yescharacteristic
350C2×C42×C71C2311yescharacteristic
351C2×C42×C71C2311yescharacteristic
352C2×C42×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
398C2×Q8×C71—22no—
399C2×Q8×C71—22no—
400C2×Q8×C71—41no—
401C2×Q8×C71—41no—
402C2×Q8×C71—41no—
403C2×Q8×C71—41no—
404C2×D4×C71—22no—
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—41no—
422C2×D4×C71—41no—
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—
440C22×C4×C71—22no—
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—41no—
453C22×C4×C71—41no—
454C22×C4×C71—41no—
455C22×C4×C71—41no—
456C22×C4×C71—41no—
457C22×C4×C71—41no—
458C22×C4×C71—41no—
459C22×C4×C71—41no—
460C22×C4×C71—41no—
461C22×C4×C71—41no—
462C22×C4×C71—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×C71C2×D414yes—
471C22×C4×C71C2×D414yes—
472C22×C4×C71#4114yes—
473C22×C4×C71C2411yescharacteristic
474C22×C4×C71C2411yescharacteristic
475C22×C4×C71C2411yescharacteristic
476C22×C4×C71C2411yescharacteristic
477C22×C4×C71C2411yescharacteristic
478C22×C4×C71C2411yescharacteristic
479C22×C4×C71C2411yescharacteristic
480C22×C4×C71C2411yescharacteristic
481C22×C4×C71C2411yescharacteristic
482C22×C4×C71C2411yescharacteristic
483C22×C4×C71C2411yescharacteristic
484C22×C4×C71C2411yescharacteristic
485C22×C4×C71C2411yescharacteristic
486C22×C4×C71C2411yescharacteristic
487C22×C4×C71C2411yescharacteristic
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
498C4⋊C4×C71—22no—
499C4⋊C4×C71—22no—
500C4⋊C4×C71—22no—
501C4⋊C4×C71—22no—
502C4⋊C4×C71—22no—
503C4⋊C4×C71—22no—
504C4⋊C4×C71—22no—
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×C71C2×D414yes—
528C22⋊C4×C71—22no—
529C22⋊C4×C71—22no—
530C22⋊C4×C71—22no—
531C22⋊C4×C71—22no—
532C22⋊C4×C71—22no—
533C22⋊C4×C71—22no—
534C22⋊C4×C71—22no—
535C22⋊C4×C71—22no—
536C22⋊C4×C71—22no—
537C22⋊C4×C71—22no—
538C22⋊C4×C71—22no—
539C22⋊C4×C71—22no—
540C22⋊C4×C71—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—22no—
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×C71C2×D414yes—
578C22⋊C4×C71C2×D414yes—
579C22⋊C4×C71#4114yes—
580C42×C71—22no—
581C42×C71—22no—
582C42×C71—22no—
583C42×C71—22no—
584C42×C71—22no—
585C42×C71—22no—
586C42×C71—22no—
587C42×C71—41no—
588C42×C71—41no—
589C42×C71—41no—
590C42×C71—41no—
591C42×C71—41no—
592C42×C71—41no—
593C42×C71—41no—
594C42×C71C2×D414yes—
595C23×C71—21no—
596C23×C71—21no—
597C23×C71—21no—
598C23×C71—21no—
599C23×C71—21no—
600C23×C71—21no—
601C23×C71—21no—
602C23×C71—21no—
603C23×C71—21no—
604C23×C71—21no—
605C23×C71—21no—
606C23×C71—21no—
607C23×C71—21no—
608C23×C71—21no—
609C23×C71—21no—
610C23×C71—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×C71C2511yescharacteristic
645Q8×C71—82no—
646Q8×C71—82no—
647D4×C71—28no—
648D4×C71—44no—
649D4×C71—44no—
650D4×C71—44no—
651D4×C71—82no—
652D4×C71—82no—
653D4×C71—82no—
654D4×C71—82no—
655D4×C71—82no—
656D4×C71—82no—
657D4×C71—82no—
658D4×C71—82no—
659C2×C4×C71—21no—
660C2×C4×C71—21no—
661C2×C4×C71—21no—
662C2×C4×C71—21no—
663C2×C4×C71—21no—
664C2×C4×C71—21no—
665C2×C4×C71—21no—
666C2×C4×C71—21no—
667C2×C4×C71—21no—
668C2×C4×C71—21no—
669C2×C4×C71—21no—
670C2×C4×C71—21no—
671C2×C4×C71—21no—
672C2×C4×C71—21no—
673C2×C4×C71—21no—
674C2×C4×C71—21no—
675C2×C4×C71—21no—
676C2×C4×C71—21no—
677C2×C4×C71—21no—
678C2×C4×C71—21no—
679C2×C4×C71—21no—
680C2×C4×C71—21no—
681C2×C4×C71—21no—
682C2×C4×C71—21no—
683C2×C4×C71—21no—
684C2×C4×C71—21no—
685C2×C4×C71—21no—
686C2×C4×C71—21no—
687C2×C4×C71—21no—
688C2×C4×C71—21no—
689C2×C4×C71—21no—
690C2×C4×C71—21no—
691C2×C4×C71—21no—
692C2×C4×C71—21no—
693C2×C4×C71—21no—
694C2×C4×C71—21no—
695C2×C4×C71—21no—
696C2×C4×C71—21no—
697C2×C4×C71—21no—
698C2×C4×C71—21no—
699C2×C4×C71—21no—
700C2×C4×C71—21no—
701C2×C4×C71—21no—
702C2×C4×C71—21no—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—21no—
712C2×C4×C71—21no—
713C2×C4×C71—21no—
714C2×C4×C71—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—44no—
725C2×C4×C71—44no—
726C2×C4×C71—44no—
727C2×C4×C71—44no—
728C2×C4×C71—44no—
729C2×C4×C71—44no—
730C2×C4×C71—44no—
731C2×C4×C71—82no—
732C2×C4×C71—82no—
733C2×C4×C71—82no—
734C2×C4×C71—82no—
735C2×C4×C71C22×D412yes—
736C2×C4×C71C22×D412yes—
737C2×C4×C71C22×D412yes—
738C2×C4×C71C22×D412yes—
739C2×C4×C71C22×D412yes—
740C2×C4×C71C2×#4112yes—
741C2×C4×C71C2×#4112yes—
742C2×C4×C71C2×#4112yes—
743C2×C4×C71C2×#4112yes—
744C2×C4×C71H(5,𝔽2)12yes—
745C22×C71—22no—
746C22×C71—22no—
747C22×C71—22no—
748C22×C71—22no—
749C22×C71—22no—
750C22×C71—22no—
751C22×C71—22no—
752C22×C71—22no—
753C22×C71—22no—
754C22×C71—41no—
755C22×C71—41no—
756C22×C71—41no—
757C22×C71—41no—
758C22×C71—41no—
759C22×C71—41no—
760C22×C71—41no—
761C22×C71—41no—
762C22×C71—41no—
763C22×C71—41no—
764C22×C71—41no—
765C22×C71—41no—
766C22×C71—41no—
767C22×C71—41no—
768C22×C71—41no—
769C22×C71—41no—
770C22×C71—41no—
771C22×C71—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—88no—
787C22×C71#53214yes—
788C22×C71C23×D411yescharacteristic
789C22×C71C22×#4111yescharacteristic
790C22×C71C22×#4111yescharacteristic
791C22×C71C2×H(5,𝔽2)11yescharacteristic
792C22×C71#58511yescharacteristic
793C22×C71#58511yescharacteristic
794C22×C71#58511yescharacteristic
795C4×C71—22no—
796C4×C71—22no—
797C4×C71—22no—
798C4×C71—22no—
799C4×C71—22no—
800C4×C71—22no—
801C4×C71—22no—
802C4×C71—22no—
803C4×C71—22no—
804C4×C71—22no—
805C4×C71—41no—
806C4×C71—41no—
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—
820#35009C7111yesmaximal, characteristic, direct product factor, Sylow
821C2×C71—24no—
822C2×C71—42no—
823C2×C71—81no—
824C2×C71—81no—
825C2×C71—81no—
826C2×C71—81no—
827C2×C71C2×#53211yescharacteristic
828C2×C71#345511yescharacteristic
829C2×C71#345911yescharacteristic
830C2×C71#349611yescharacteristic
831C2×C71#350011yescharacteristic
832C2×C71#351311yescharacteristic
833C2×C71#352111yescharacteristic
834C2×#539C2×C7111yescharacteristic, complemented
835C2×#538C2×C7111yescharacteristic, complemented
836#2861C2×C7111yescharacteristic, complemented
837#2860C2×C7111yescharacteristic, complemented
838#2854C2×C7111yescharacteristic, complemented
839#2850C2×C7111yescharacteristic, complemented
840#2664C2×C7111yescharacteristic, complemented
841#2663C2×C7111yescharacteristic, complemented
842#2662C2×C7111yescharacteristic, complemented
843#2661C2×C7111yescharacteristic, complemented
844#2560C2×C7111yescharacteristic, complemented
845#2559C2×C7111yescharacteristic, complemented
846#2558C2×C7111yescharacteristic, complemented
847#2557C2×C7111yescharacteristic, complemented
848#2549C2×C7111yescharacteristic, complemented
849#2543C2×C7111yescharacteristic, complemented
850#2539C2×C7111yescharacteristic, complemented
851#2534C2×C7111yescharacteristic, complemented
852#2521C2×C7111yescharacteristic, complemented
853#2519C2×C7111yescharacteristic, complemented
854#2488C2×C7111yescharacteristic, complemented
855#2472C2×C7111yescharacteristic, complemented
856#2464C2×C7111yescharacteristic, complemented
857#2461C2×C7111yescharacteristic, complemented
858#2425C2×C7111yescharacteristic, complemented
859#2424C2×C7111yescharacteristic, complemented
860#2322C2×C7111yescharacteristic, complemented
861#2321C2×C7111yescharacteristic, complemented
862C4×#121C2×C7111yescharacteristic, complemented
863C2×#388C2×C7111yescharacteristic, complemented
864C42×D4C2×C7111yescharacteristic, complemented
865C71#3500911yescharacteristic, direct product factor, Sylow
866#539—28no—
867#538—28no—
868C2×#126C22×C7111yescharacteristic
869C2×#126C22×C7111yescharacteristic
870C2×#126C22×C7111yescharacteristic, complemented
871C2×#126C22×C7111yescharacteristic, complemented
872C2×#125C22×C7111yescharacteristic, complemented
873C2×#125C22×C7111yescharacteristic, complemented
874C2×#124C22×C7111yescharacteristic
875C2×#124C22×C7111yescharacteristic
876C2×#124C22×C7111yescharacteristic
877C2×#123C22×C7111yescharacteristic
878C2×#123C22×C7111yescharacteristic
879C2×#123C22×C7111yescharacteristic
880C2×#123C22×C7111yescharacteristic
881C2×#123C22×C7111yescharacteristic
882C2×#123C22×C7111yescharacteristic, complemented
883C2×#123C22×C7111yescharacteristic, complemented
884C2×C22⋊Q8C22×C7111yescharacteristic
885C2×C22⋊Q8C22×C7111yescharacteristic
886C2×C22⋊Q8C22×C7111yescharacteristic, complemented
887C2×C22⋊Q8C22×C7111yescharacteristic, complemented
888C2×#121C22×C7111yescharacteristic
889C2×#121C22×C7111yescharacteristic
890C2×#121C22×C7111yescharacteristic
891C2×#121C22×C7111yescharacteristic
892C2×#121C22×C7111yescharacteristic
893C2×#121C22×C7111yescharacteristic
894C2×#120C22×C7111yescharacteristic
895C2×#120C22×C7111yescharacteristic
896C2×#120C22×C7111yescharacteristic
897C2×C4×D4C22×C7111yescharacteristic
898C2×C4×D4C22×C7111yescharacteristic
899C2×C4×D4C22×C7111yescharacteristic
900C2×C4×D4C22×C7111yescharacteristic
901C2×C4×D4C22×C7111yescharacteristic
902C2×C4×D4C22×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
909#400C22×C7111yescharacteristic, complemented
910#400C22×C7111yescharacteristic, complemented
911#399C22×C7111yescharacteristic
912#399C22×C7111yescharacteristic
913#398C22×C7111yescharacteristic, complemented
914#398C22×C7111yescharacteristic, complemented
915#398C22×C7111yescharacteristic, complemented
916#398C22×C7111yescharacteristic, complemented
917#397C22×C7111yescharacteristic
918#397C22×C7111yescharacteristic, complemented
919#397C22×C7111yescharacteristic, complemented
920#397C22×C7111yescharacteristic, complemented
921#396C22×C7111yescharacteristic
922#396C22×C7111yescharacteristic
923#396C22×C7111yescharacteristic
924#396C22×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, complemented
937#392C22×C7111yescharacteristic
938#392C22×C7111yescharacteristic
939#392C22×C7111yescharacteristic
940#392C22×C7111yescharacteristic, complemented
941#391C22×C7111yescharacteristic, complemented
942#391C22×C7111yescharacteristic, complemented
943#391C22×C7111yescharacteristic, complemented
944#390C22×C7111yescharacteristic
945#390C22×C7111yescharacteristic
946#390C22×C7111yescharacteristic
947#390C22×C7111yescharacteristic
948#390C22×C7111yescharacteristic
949#390C22×C7111yescharacteristic
950#390C22×C7111yescharacteristic
951#390C22×C7111yescharacteristic
952#390C22×C7111yescharacteristic, complemented
953#389C22×C7111yescharacteristic, complemented
954#389C22×C7111yescharacteristic, complemented
955#389C22×C7111yescharacteristic, complemented
956#389C22×C7111yescharacteristic, complemented
957#389C22×C7111yescharacteristic, complemented
958#389C22×C7111yescharacteristic, complemented
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
968#388C22×C7111yescharacteristic
969#388C22×C7111yescharacteristic
970#388C22×C7111yescharacteristic
971#388C22×C7111yescharacteristic
972#388C22×C7111yescharacteristic
973#388C22×C7111yescharacteristic
974#388C22×C7111yescharacteristic
975#388C22×C7111yescharacteristic
976#388C22×C7111yescharacteristic, complemented
977#388C22×C7111yescharacteristic, complemented
978#388C22×C7111yescharacteristic, complemented
979#388C22×C7111yescharacteristic, complemented
980#388C22×C7111yescharacteristic, complemented
981#388C22×C7111yescharacteristic, complemented
982#388C22×C7111yescharacteristic, complemented
983#388C22×C7111yescharacteristic, complemented
984#388C22×C7111yescharacteristic, complemented
985#387C22×C7111yescharacteristic, complemented
986#387C22×C7111yescharacteristic, complemented
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, complemented
997#386C22×C7111yescharacteristic, complemented
998#386C22×C7111yescharacteristic, complemented
999#385C22×C7111yescharacteristic
1000#385C22×C7111yescharacteristic
1001#385C22×C7111yescharacteristic, complemented
1002#385C22×C7111yescharacteristic, complemented
1003#382C22×C7111yescharacteristic, complemented
1004#381C22×C7111yescharacteristic
1005#380C22×C7111yescharacteristic
1006#380C22×C7111yescharacteristic, complemented
1007#379C22×C7111yescharacteristic
1008C4×C4⋊C4C22×C7111yescharacteristic, complemented
1009C4×C4⋊C4C22×C7111yescharacteristic, complemented
1010C4×C4⋊C4C22×C7111yescharacteristic, complemented
1011C4×C4⋊C4C22×C7111yescharacteristic, complemented
1012C4×C22⋊C4C22×C7111yescharacteristic
1013C4×C22⋊C4C22×C7111yescharacteristic
1014C4×C22⋊C4C22×C7111yescharacteristic
1015C4×C22⋊C4C22×C7111yescharacteristic, complemented
1016C4×C22⋊C4C22×C7111yescharacteristic, complemented
1017C4×C22⋊C4C22×C7111yescharacteristic, complemented
1018C4×C22⋊C4C22×C7111yescharacteristic, complemented
1019C4×C22⋊C4C22×C7111yescharacteristic, complemented
1020C2×#95C22×C7111yescharacteristic
1021C2×#95C22×C7111yescharacteristic
1022C43C22×C7111yescharacteristic, complemented
1023C25C23×C7111yescharacteristic
1024C22×Q8C23×C7111yescharacteristic
1025C22×Q8C23×C7111yescharacteristic
1026C22×D4C23×C7111yescharacteristic
1027C22×D4C23×C7111yescharacteristic
1028C22×D4C23×C7111yescharacteristic
1029C22×D4C23×C7111yescharacteristic
1030C22×D4C23×C7111yescharacteristic
1031C22×D4C23×C7111yescharacteristic
1032C22×D4C23×C7111yescharacteristic
1033C22×D4C23×C7111yescharacteristic
1034C22×D4C23×C7111yescharacteristic
1035C22×D4C23×C7111yescharacteristic
1036C22×D4C23×C7111yescharacteristic
1037C22×D4C23×C7111yescharacteristic
1038C23×C4C23×C7111yescharacteristic
1039C23×C4C23×C7111yescharacteristic
1040C23×C4C23×C7111yescharacteristic
1041C23×C4C23×C7111yescharacteristic
1042C23×C4C23×C7111yescharacteristic
1043C23×C4C23×C7111yescharacteristic
1044C23×C4C23×C7111yescharacteristic
1045C23×C4C23×C7111yescharacteristic
1046C23×C4C23×C7111yescharacteristic
1047C23×C4C23×C7111yescharacteristic
1048C23×C4C23×C7111yescharacteristic
1049#126—24no—
1050#126—24no—
1051#126—24no—
1052#126—24no—
1053#125—24no—
1054#125—24no—
1055#124—24no—
1056#124—24no—
1057#124—42no—
1058#123—24no—
1059#123—24no—
1060#123—24no—
1061#123—24no—
1062#123—24no—
1063#123—24no—
1064#123—24no—
1065C22⋊Q8—24no—
1066C22⋊Q8—24no—
1067C22⋊Q8—24no—
1068C22⋊Q8—24no—
1069#121—24no—
1070#121—24no—
1071#121—24no—
1072#121—24no—
1073#121—24no—
1074#121—42no—
1075#120—24no—
1076#120—24no—
1077#120—24no—
1078C4×D4—24no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4—42no—
1083C4×D4D4×C7118yescomplemented
1084C2×C4⋊C4—24no—
1085C2×C4⋊C4C23×C7111yescharacteristic
1086C2×C4⋊C4C23×C7111yescharacteristic
1087C2×C4⋊C4C23×C7111yescharacteristic
1088C2×C4⋊C4C23×C7111yescharacteristic
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×C22⋊C4—24no—
1116C2×C22⋊C4—24no—
1117C2×C22⋊C4—42no—
1118C2×C22⋊C4C23×C7111yescharacteristic
1119C2×C22⋊C4C23×C7111yescharacteristic
1120C2×C22⋊C4C23×C7111yescharacteristic
1121C2×C22⋊C4C23×C7111yescharacteristic
1122C2×C22⋊C4C23×C7111yescharacteristic
1123C2×C22⋊C4C23×C7111yescharacteristic
1124C2×C22⋊C4C23×C7111yescharacteristic
1125C2×C22⋊C4C23×C7111yescharacteristic
1126C2×C22⋊C4C23×C7111yescharacteristic
1127C2×C22⋊C4C23×C7111yescharacteristic
1128C2×C22⋊C4C23×C7111yescharacteristic
1129C2×C22⋊C4C23×C7111yescharacteristic
1130C2×C22⋊C4C23×C7111yescharacteristic
1131C2×C22⋊C4C23×C7111yescharacteristic
1132C2×C22⋊C4C23×C7111yescharacteristic
1133C2×C22⋊C4C23×C7111yescharacteristic
1134C2×C22⋊C4C23×C7111yescharacteristic
1135C2×C22⋊C4C23×C7111yescharacteristic
1136C2×C22⋊C4C23×C7111yescharacteristic
1137C2×C22⋊C4C23×C7111yescharacteristic
1138C2×C22⋊C4C23×C7111yescharacteristic
1139C2×C22⋊C4C23×C7111yescharacteristic
1140C2×C22⋊C4C23×C7111yescharacteristic
1141C2×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—42no—
1171C2×C42—42no—
1172C2×C42C23×C7111yescharacteristic
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
1186C2×C42C23×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
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24C24×C7111yescharacteristic
1227C24C24×C7111yescharacteristic
1228C24C24×C7111yescharacteristic
1229C24C24×C7111yescharacteristic
1230C24C24×C7111yescharacteristic
1231C24C24×C7111yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×Q8—41no—
1237C2×Q8—41no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
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—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
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×D4C2×D4×C7114yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
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—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4C2×D4×C7114yes—
1305C22×C4C2×D4×C7114yes—
1306C22×C4#41×C7114yes—
1307C22×C4C24×C7111yescharacteristic
1308C22×C4C24×C7111yescharacteristic
1309C22×C4C24×C7111yescharacteristic
1310C22×C4C24×C7111yescharacteristic
1311C22×C4C24×C7111yescharacteristic
1312C22×C4C24×C7111yescharacteristic
1313C22×C4C24×C7111yescharacteristic
1314C22×C4C24×C7111yescharacteristic
1315C22×C4C24×C7111yescharacteristic
1316C22×C4C24×C7111yescharacteristic
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
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
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—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4C2×D4×C7114yes—
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—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—41no—
1400C22⋊C4—41no—
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⋊C4C2×D4×C7114yes—
1412C22⋊C4C2×D4×C7114yes—
1413C22⋊C4#41×C7114yes—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—41no—
1422C42—41no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C42—41no—
1427C42—41no—
1428C42C2×D4×C7114yes—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
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—44no—
1468C23—44no—
1469C23—44no—
1470C23—82no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23C22×D4×C7112yes—
1475C23C22×D4×C7112yes—
1476C23C2×#41×C7112yes—
1477C23C2×#41×C7112yes—
1478C23C25×C7111yescharacteristic
1479Q8—82no—
1480Q8—82no—
1481D4—28no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—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—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—44no—
1565C2×C4—82no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4C22×D4×C7112yes—
1570C2×C4C22×D4×C7112yes—
1571C2×C4C22×D4×C7112yes—
1572C2×C4C22×D4×C7112yes—
1573C2×C4C22×D4×C7112yes—
1574C2×C4C2×#41×C7112yes—
1575C2×C4C2×#41×C7112yes—
1576C2×C4C2×#41×C7112yes—
1577C2×C4C2×#41×C7112yes—
1578C2×C4H(5,𝔽2)×C7112yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
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—88no—
1621C22#532×C7114yes—
1622C22C23×D4×C7111yescharacteristic
1623C22C22×#41×C7111yescharacteristic
1624C22C22×#41×C7111yescharacteristic
1625C22C2×H(5,𝔽2)×C7111yescharacteristic
1626C22#585×C7111yescharacteristic
1627C22#585×C7111yescharacteristic
1628C22#585×C7111yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2C2×#532×C7111yescharacteristic
1661C2C71×#345511yescharacteristic
1662C2C71×#345911yescharacteristic
1663C2C71×#349611yescharacteristic
1664C2C71×#350011yescharacteristic
1665C2C71×#351311yescharacteristic
1666C2C71×#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×#539×C71C2semidirect
2. C2×#538×C71C2semidirect
3. C71×#2861C2semidirect
4. C71×#2860C2semidirect
5. C71×#2854C2semidirect
6. C71×#2850C2semidirect
7. C71×#2664C2semidirect
8. C71×#2663C2semidirect
9. C71×#2662C2semidirect
10. C71×#2661C2semidirect
11. C71×#2560C2semidirect
12. C71×#2559C2semidirect
13. C71×#2558C2semidirect
14. C71×#2557C2semidirect
15. C71×#2549C2semidirect
16. C71×#2543C2semidirect
17. C71×#2539C2semidirect
18. C71×#2534C2semidirect
19. C71×#2521C2semidirect
20. C71×#2519C2semidirect
21. C71×#2488C2semidirect
22. C71×#2472C2semidirect
23. C71×#2464C2semidirect
24. C71×#2461C2semidirect
25. C71×#2425C2semidirect
26. C71×#2424C2semidirect
27. C71×#2322C2semidirect
28. C71×#2321C2semidirect
29. C4×#121×C71C2semidirect
30. C2×#388×C71C2semidirect
31. C42×D4×C71C2semidirect
36. C2×#126×C71C22semidirect
37. C2×#126×C71C22semidirect
38. C2×#125×C71C22semidirect
39. C2×#125×C71C22semidirect
48. C2×#123×C71C22semidirect
49. C2×#123×C71C22semidirect
52. C2×C22⋊Q8×C71C22semidirect
53. C2×C22⋊Q8×C71C22semidirect
68. C2×C4×D4×C71C22semidirect
74. C22×C42×C71C22semidirect
75. #400×C71C22semidirect
76. #400×C71C22semidirect
79. #398×C71C22semidirect
80. #398×C71C22semidirect
81. #398×C71C22semidirect
82. #398×C71C22semidirect
84. #397×C71C22semidirect
85. #397×C71C22semidirect
86. #397×C71C22semidirect
90. #396×C71C22semidirect
91. #395×C71C22semidirect
92. #395×C71C22semidirect
99. #394×C71C22semidirect
100. #394×C71C22semidirect
102. #393×C71C22semidirect
106. #392×C71C22semidirect
107. #391×C71C22semidirect
108. #391×C71C22semidirect
109. #391×C71C22semidirect
118. #390×C71C22semidirect
119. #389×C71C22semidirect
120. #389×C71C22semidirect
121. #389×C71C22semidirect
122. #389×C71C22semidirect
123. #389×C71C22semidirect
124. #389×C71C22semidirect
142. #388×C71C22semidirect
143. #388×C71C22semidirect
144. #388×C71C22semidirect
145. #388×C71C22semidirect
146. #388×C71C22semidirect
147. #388×C71C22semidirect
148. #388×C71C22semidirect
149. #388×C71C22semidirect
150. #388×C71C22semidirect
151. #387×C71C22semidirect
152. #387×C71C22semidirect
162. #386×C71C22semidirect
163. #386×C71C22semidirect
164. #386×C71C22semidirect
167. #385×C71C22semidirect
168. #385×C71C22semidirect
169. #382×C71C22semidirect
172. #380×C71C22semidirect
174. C4×C4⋊C4×C71C22semidirect
175. C4×C4⋊C4×C71C22semidirect
176. C4×C4⋊C4×C71C22semidirect
177. C4×C4⋊C4×C71C22semidirect
181. C4×C22⋊C4×C71C22semidirect
182. C4×C22⋊C4×C71C22semidirect
183. C4×C22⋊C4×C71C22semidirect
184. C4×C22⋊C4×C71C22semidirect
185. C4×C22⋊C4×C71C22semidirect
188. C43×C71C22semidirect
249. C4×D4×C71D4semidirect
820. #35009C71direct (N × H)
834. C2×#539C2×C71semidirect
835. C2×#538C2×C71semidirect
836. #2861C2×C71semidirect
837. #2860C2×C71semidirect
838. #2854C2×C71semidirect
839. #2850C2×C71semidirect
840. #2664C2×C71semidirect
841. #2663C2×C71semidirect
842. #2662C2×C71semidirect
843. #2661C2×C71semidirect
844. #2560C2×C71semidirect
845. #2559C2×C71semidirect
846. #2558C2×C71semidirect
847. #2557C2×C71semidirect
848. #2549C2×C71semidirect
849. #2543C2×C71semidirect
850. #2539C2×C71semidirect
851. #2534C2×C71semidirect
852. #2521C2×C71semidirect
853. #2519C2×C71semidirect
854. #2488C2×C71semidirect
855. #2472C2×C71semidirect
856. #2464C2×C71semidirect
857. #2461C2×C71semidirect
858. #2425C2×C71semidirect
859. #2424C2×C71semidirect
860. #2322C2×C71semidirect
861. #2321C2×C71semidirect
862. C4×#121C2×C71semidirect
863. C2×#388C2×C71semidirect
864. C42×D4C2×C71semidirect
865. C71#35009direct (N × H)
870. C2×#126C22×C71semidirect
871. C2×#126C22×C71semidirect
872. C2×#125C22×C71semidirect
873. C2×#125C22×C71semidirect
882. C2×#123C22×C71semidirect
883. C2×#123C22×C71semidirect
886. C2×C22⋊Q8C22×C71semidirect
887. C2×C22⋊Q8C22×C71semidirect
902. C2×C4×D4C22×C71semidirect
908. C22×C42C22×C71semidirect
909. #400C22×C71semidirect
910. #400C22×C71semidirect
913. #398C22×C71semidirect
914. #398C22×C71semidirect
915. #398C22×C71semidirect
916. #398C22×C71semidirect
918. #397C22×C71semidirect
919. #397C22×C71semidirect
920. #397C22×C71semidirect
924. #396C22×C71semidirect
925. #395C22×C71semidirect
926. #395C22×C71semidirect
933. #394C22×C71semidirect
934. #394C22×C71semidirect
936. #393C22×C71semidirect
940. #392C22×C71semidirect
941. #391C22×C71semidirect
942. #391C22×C71semidirect
943. #391C22×C71semidirect
952. #390C22×C71semidirect
953. #389C22×C71semidirect
954. #389C22×C71semidirect
955. #389C22×C71semidirect
956. #389C22×C71semidirect
957. #389C22×C71semidirect
958. #389C22×C71semidirect
976. #388C22×C71semidirect
977. #388C22×C71semidirect
978. #388C22×C71semidirect
979. #388C22×C71semidirect
980. #388C22×C71semidirect
981. #388C22×C71semidirect
982. #388C22×C71semidirect
983. #388C22×C71semidirect
984. #388C22×C71semidirect
985. #387C22×C71semidirect
986. #387C22×C71semidirect
996. #386C22×C71semidirect
997. #386C22×C71semidirect
998. #386C22×C71semidirect
1001. #385C22×C71semidirect
1002. #385C22×C71semidirect
1003. #382C22×C71semidirect
1006. #380C22×C71semidirect
1008. C4×C4⋊C4C22×C71semidirect
1009. C4×C4⋊C4C22×C71semidirect
1010. C4×C4⋊C4C22×C71semidirect
1011. C4×C4⋊C4C22×C71semidirect
1015. C4×C22⋊C4C22×C71semidirect
1016. C4×C22⋊C4C22×C71semidirect
1017. C4×C22⋊C4C22×C71semidirect
1018. C4×C22⋊C4C22×C71semidirect
1019. C4×C22⋊C4C22×C71semidirect
1022. C43C22×C71semidirect
1083. C4×D4D4×C71semidirect

Maximal subgroups

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

subgroupindex
C2×#539×C712
C2×#538×C712
C71×#28612
C71×#28602
C71×#28542
C71×#28502
C71×#26642
C71×#26632
C71×#26622
C71×#26612
C71×#25602
C71×#25592
C71×#25582
C71×#25572
C71×#25492
C71×#25432
C71×#25392
C71×#25342
C71×#25212
C71×#25192
C71×#24882
C71×#24722
C71×#24642
C71×#24612
C71×#24252
C71×#24242
C71×#23222
C71×#23212
C4×#121×C712
C2×#388×C712
C42×D4×C712
#3500971