Finite Group Databasebeta

← C71×#36779 #31857651

Subgroups — C71×#36779 #31857651

Order 18176.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#2852C211yesmaximal, characteristic, complemented
2C71×#2850C211yesmaximal, characteristic, complemented
3C71×#2781C211yesmaximal, characteristic, complemented
4C71×#2781C211yesmaximal, characteristic, complemented
5C71×#2778C211yesmaximal, characteristic, complemented
6C71×#2765C211yesmaximal, characteristic, complemented
7C71×#2764C211yesmaximal, characteristic, complemented
8C71×#2761C211yesmaximal, characteristic, complemented
9C71×#2756C211yesmaximal, characteristic, complemented
10C71×#2749C211yesmaximal, characteristic, complemented
11C71×#2743C211yesmaximal, characteristic, complemented
12C71×#2741C211yesmaximal, characteristic, complemented
13C71×#2735C211yesmaximal, characteristic, complemented
14C71×#2735C211yesmaximal, characteristic, complemented
15C71×#2730C211yesmaximal, characteristic, complemented
16C71×#2702C211yesmaximal, characteristic, complemented
17C71×#2685C211yesmaximal, characteristic, complemented
18C71×#2684C211yesmaximal, characteristic, complemented
19C71×#2623C211yesmaximal, characteristic, complemented
20C71×#2618C211yesmaximal, characteristic, complemented
21C71×#2510C211yesmaximal, characteristic, complemented
22C71×#2488C211yesmaximal, characteristic, complemented
23C71×#2444C211yesmaximal, characteristic, complemented
24C71×#2437C211yesmaximal, characteristic, complemented
25C71×#2425C211yesmaximal, characteristic, complemented
26C71×#2412C211yesmaximal, characteristic, complemented
27C71×#2410C211yesmaximal, characteristic
28C71×#2405C211yesmaximal, characteristic, complemented
29C71×#2321C211yesmaximal, characteristic, complemented
30C71×#2308C211yesmaximal, characteristic, complemented
31C2×#388×C71C211yesmaximal, characteristic, complemented
32C23×D4×C71C2211yescharacteristic
33C2×#126×C71C2211yescharacteristic, complemented
34C2×#124×C71C2211yescharacteristic, complemented
35C2×#123×C71C2211yescharacteristic
36C2×#123×C71C2211yescharacteristic
37C2×#123×C71C2211yescharacteristic, complemented
38C2×C22⋊Q8×C71C2211yescharacteristic, complemented
39C2×C22⋊Q8×C71C2211yescharacteristic, complemented
40C2×#121×C71C2211yescharacteristic
41C2×#121×C71C2211yescharacteristic
42C2×#120×C71C2211yescharacteristic
43C2×#120×C71C2211yescharacteristic
44C2×C4×D4×C71C2211yescharacteristic, complemented
45C22×C4⋊C4×C71C2211yescharacteristic, complemented
46C22×C22⋊C4×C71C2211yescharacteristic
47C22×C22⋊C4×C71C2211yescharacteristic
48C22×C22⋊C4×C71C2211yescharacteristic
49C22×C22⋊C4×C71C2211yescharacteristic
50C22×C42×C71C2211yescharacteristic, complemented
51#401×C71C2211yescharacteristic, complemented
52#400×C71C2211yescharacteristic, complemented
53#400×C71C2211yescharacteristic, complemented
54#400×C71C2211yescharacteristic, complemented
55#400×C71C2211yescharacteristic, complemented
56#400×C71C2211yescharacteristic, complemented
57#400×C71C2211yescharacteristic, complemented
58#399×C71C2211yescharacteristic
59#399×C71C2211yescharacteristic, complemented
60#399×C71C2211yescharacteristic, complemented
61#398×C71C2211yescharacteristic, complemented
62#398×C71C2211yescharacteristic, complemented
63#398×C71C2211yescharacteristic, complemented
64#398×C71C2211yescharacteristic, complemented
65#398×C71C2211yescharacteristic, complemented
66#397×C71C2211yescharacteristic
67#397×C71C2211yescharacteristic
68#397×C71C2211yescharacteristic, complemented
69#397×C71C2211yescharacteristic, complemented
70#397×C71C2211yescharacteristic, complemented
71#397×C71C2211yescharacteristic, complemented
72#397×C71C2211yescharacteristic, complemented
73#397×C71C2211yescharacteristic, complemented
74#397×C71C2211yescharacteristic, complemented
75#397×C71C2211yescharacteristic, complemented
76#396×C71C2211yescharacteristic
77#396×C71C2211yescharacteristic
78#396×C71C2211yescharacteristic, complemented
79#396×C71C2211yescharacteristic, complemented
80#396×C71C2211yescharacteristic, complemented
81#396×C71C2211yescharacteristic, complemented
82#396×C71C2211yescharacteristic, complemented
83#394×C71C2211yescharacteristic
84#394×C71C2211yescharacteristic
85#394×C71C2211yescharacteristic
86#394×C71C2211yescharacteristic
87#394×C71C2211yescharacteristic
88#394×C71C2211yescharacteristic
89#394×C71C2211yescharacteristic
90#394×C71C2211yescharacteristic
91#394×C71C2211yescharacteristic, complemented
92#394×C71C2211yescharacteristic, complemented
93#394×C71C2211yescharacteristic, complemented
94#394×C71C2211yescharacteristic, complemented
95#393×C71C2211yescharacteristic
96#393×C71C2211yescharacteristic, complemented
97#392×C71C2211yescharacteristic
98#392×C71C2211yescharacteristic
99#391×C71C2211yescharacteristic, complemented
100#391×C71C2211yescharacteristic, complemented
101#390×C71C2211yescharacteristic
102#390×C71C2211yescharacteristic, complemented
103#390×C71C2211yescharacteristic, complemented
104#389×C71C2211yescharacteristic, complemented
105#388×C71C2211yescharacteristic
106#388×C71C2211yescharacteristic
107#388×C71C2211yescharacteristic
108#388×C71C2211yescharacteristic
109#388×C71C2211yescharacteristic
110#388×C71C2211yescharacteristic
111#388×C71C2211yescharacteristic, complemented
112#388×C71C2211yescharacteristic, complemented
113#388×C71C2211yescharacteristic, complemented
114#388×C71C2211yescharacteristic, complemented
115#388×C71C2211yescharacteristic, complemented
116#388×C71C2211yescharacteristic, complemented
117#388×C71C2211yescharacteristic, complemented
118#388×C71C2211yescharacteristic, complemented
119#388×C71C2211yescharacteristic, complemented
120#388×C71C2211yescharacteristic, complemented
121#388×C71C2211yescharacteristic, complemented
122#388×C71C2211yescharacteristic, complemented
123#388×C71C2211yescharacteristic, complemented
124#388×C71C2211yescharacteristic, complemented
125#388×C71C2211yescharacteristic, complemented
126#388×C71C2211yescharacteristic, complemented
127#388×C71C2211yescharacteristic, complemented
128#388×C71C2211yescharacteristic, complemented
129#388×C71C2211yescharacteristic, complemented
130#387×C71C2211yescharacteristic, complemented
131#387×C71C2211yescharacteristic, complemented
132#387×C71C2211yescharacteristic, complemented
133#387×C71C2211yescharacteristic, complemented
134#387×C71C2211yescharacteristic, complemented
135#386×C71C2211yescharacteristic
136#386×C71C2211yescharacteristic
137#386×C71C2211yescharacteristic
138#386×C71C2211yescharacteristic
139#386×C71C2211yescharacteristic
140#386×C71C2211yescharacteristic
141#386×C71C2211yescharacteristic
142#386×C71C2211yescharacteristic
143#386×C71C2211yescharacteristic
144#386×C71C2211yescharacteristic
145#386×C71C2211yescharacteristic
146#386×C71C2211yescharacteristic
147#386×C71C2211yescharacteristic
148#386×C71C2211yescharacteristic
149#386×C71C2211yescharacteristic, complemented
150#386×C71C2211yescharacteristic, complemented
151#386×C71C2211yescharacteristic, complemented
152#386×C71C2211yescharacteristic, complemented
153#386×C71C2211yescharacteristic, complemented
154#386×C71C2211yescharacteristic, complemented
155#386×C71C2211yescharacteristic, complemented
156#385×C71C2211yescharacteristic
157#385×C71C2211yescharacteristic
158#385×C71C2211yescharacteristic
159#385×C71C2211yescharacteristic, complemented
160#385×C71C2211yescharacteristic, complemented
161#385×C71C2211yescharacteristic, complemented
162#385×C71C2211yescharacteristic, complemented
163#385×C71C2211yescharacteristic, complemented
164#385×C71C2211yescharacteristic, complemented
165#383×C71C2211yescharacteristic, complemented
166#383×C71C2211yescharacteristic, complemented
167#382×C71C2211yescharacteristic, complemented
168#382×C71C2211yescharacteristic, complemented
169#381×C71C2211yescharacteristic
170#381×C71C2211yescharacteristic
171#381×C71C2211yescharacteristic, complemented
172#381×C71C2211yescharacteristic, complemented
173#380×C71C2211yescharacteristic, complemented
174#380×C71C2211yescharacteristic, complemented
175#380×C71C2211yescharacteristic, complemented
176#380×C71C2211yescharacteristic, complemented
177#380×C71C2211yescharacteristic, complemented
178#379×C71C2211yescharacteristic
179#379×C71C2211yescharacteristic
180#379×C71C2211yescharacteristic
181#379×C71C2211yescharacteristic
182#379×C71C2211yescharacteristic
183#379×C71C2211yescharacteristic
184C4×C22⋊C4×C71C2211yescharacteristic, complemented
185C2×#95×C71C2211yescharacteristic, complemented
186C2×#95×C71C2211yescharacteristic, complemented
187C25×C71C2311yescharacteristic
188C25×C71C2311yescharacteristic
189C22×Q8×C71C2311yescharacteristic
190C22×D4×C71—24no—
191C22×D4×C71—42no—
192C22×D4×C71—42no—
193C22×D4×C71C2311yescharacteristic
194C22×D4×C71C2311yescharacteristic
195C22×D4×C71C2311yescharacteristic
196C22×D4×C71C2311yescharacteristic
197C22×D4×C71C2311yescharacteristic
198C22×D4×C71C2311yescharacteristic
199C22×D4×C71C2311yescharacteristic
200C22×D4×C71C2311yescharacteristic
201C22×D4×C71C2311yescharacteristic
202C23×C4×C71C2311yescharacteristic
203C23×C4×C71C2311yescharacteristic
204C23×C4×C71C2311yescharacteristic
205C23×C4×C71C2311yescharacteristic
206C23×C4×C71C2311yescharacteristic
207C23×C4×C71C2311yescharacteristic
208C23×C4×C71C2311yescharacteristic
209C23×C4×C71C2311yescharacteristic
210C23×C4×C71C2311yescharacteristic
211C23×C4×C71C2311yescharacteristic
212#126×C71—42no—
213#124×C71—42no—
214#123×C71—42no—
215#123×C71—42no—
216#123×C71—42no—
217C22⋊Q8×C71—42no—
218C22⋊Q8×C71—42no—
219#121×C71—42no—
220#121×C71—42no—
221#120×C71—24no—
222#120×C71—42no—
223C4×D4×C71—42no—
224C2×C4⋊C4×C71—42no—
225C2×C4⋊C4×C71C2311yescharacteristic
226C2×C4⋊C4×C71C2311yescharacteristic
227C2×C4⋊C4×C71C2311yescharacteristic
228C2×C4⋊C4×C71C2311yescharacteristic
229C2×C4⋊C4×C71C2311yescharacteristic
230C2×C4⋊C4×C71C2311yescharacteristic
231C2×C4⋊C4×C71C2311yescharacteristic
232C2×C4⋊C4×C71C2311yescharacteristic
233C2×C4⋊C4×C71C2311yescharacteristic
234C2×C4⋊C4×C71C2311yescharacteristic
235C2×C4⋊C4×C71C2311yescharacteristic
236C2×C4⋊C4×C71C2311yescharacteristic
237C2×C4⋊C4×C71C2311yescharacteristic
238C2×C4⋊C4×C71C2311yescharacteristic
239C2×C4⋊C4×C71C2311yescharacteristic
240C2×C4⋊C4×C71C2311yescharacteristic
241C2×C4⋊C4×C71C2311yescharacteristic
242C2×C4⋊C4×C71C2311yescharacteristic
243C2×C4⋊C4×C71C2311yescharacteristic
244C2×C4⋊C4×C71C2311yescharacteristic
245C2×C4⋊C4×C71C2311yescharacteristic
246C2×C4⋊C4×C71C2311yescharacteristic
247C2×C4⋊C4×C71C2311yescharacteristic
248C2×C4⋊C4×C71C2311yescharacteristic
249C2×C4⋊C4×C71C2311yescharacteristic
250C2×C4⋊C4×C71C2311yescharacteristic
251C2×C22⋊C4×C71—24no—
252C2×C22⋊C4×C71—42no—
253C2×C22⋊C4×C71—42no—
254C2×C22⋊C4×C71—42no—
255C2×C22⋊C4×C71C2311yescharacteristic
256C2×C22⋊C4×C71C2311yescharacteristic
257C2×C22⋊C4×C71C2311yescharacteristic
258C2×C22⋊C4×C71C2311yescharacteristic
259C2×C22⋊C4×C71C2311yescharacteristic
260C2×C22⋊C4×C71C2311yescharacteristic
261C2×C22⋊C4×C71C2311yescharacteristic
262C2×C22⋊C4×C71C2311yescharacteristic
263C2×C22⋊C4×C71C2311yescharacteristic
264C2×C22⋊C4×C71C2311yescharacteristic
265C2×C22⋊C4×C71C2311yescharacteristic
266C2×C22⋊C4×C71C2311yescharacteristic
267C2×C22⋊C4×C71C2311yescharacteristic
268C2×C22⋊C4×C71C2311yescharacteristic
269C2×C22⋊C4×C71C2311yescharacteristic
270C2×C22⋊C4×C71C2311yescharacteristic
271C2×C22⋊C4×C71C2311yescharacteristic
272C2×C22⋊C4×C71C2311yescharacteristic
273C2×C22⋊C4×C71C2311yescharacteristic
274C2×C22⋊C4×C71C2311yescharacteristic
275C2×C22⋊C4×C71C2311yescharacteristic
276C2×C22⋊C4×C71C2311yescharacteristic
277C2×C22⋊C4×C71C2311yescharacteristic
278C2×C22⋊C4×C71C2311yescharacteristic
279C2×C22⋊C4×C71C2311yescharacteristic
280C2×C22⋊C4×C71C2311yescharacteristic
281C2×C22⋊C4×C71C2311yescharacteristic
282C2×C22⋊C4×C71C2311yescharacteristic
283C2×C22⋊C4×C71C2311yescharacteristic
284C2×C22⋊C4×C71C2311yescharacteristic
285C2×C22⋊C4×C71C2311yescharacteristic
286C2×C22⋊C4×C71C2311yescharacteristic
287C2×C22⋊C4×C71C2311yescharacteristic
288C2×C22⋊C4×C71C2311yescharacteristic
289C2×C22⋊C4×C71C2311yescharacteristic
290C2×C22⋊C4×C71C2311yescharacteristic
291C2×C22⋊C4×C71C2311yescharacteristic
292C2×C22⋊C4×C71C2311yescharacteristic
293C2×C22⋊C4×C71C2311yescharacteristic
294C2×C22⋊C4×C71C2311yescharacteristic
295C2×C22⋊C4×C71C2311yescharacteristic
296C2×C22⋊C4×C71C2311yescharacteristic
297C2×C22⋊C4×C71C2311yescharacteristic
298C2×C22⋊C4×C71C2311yescharacteristic
299C2×C22⋊C4×C71C2311yescharacteristic
300C2×C22⋊C4×C71C2311yescharacteristic
301C2×C22⋊C4×C71C2311yescharacteristic
302C2×C22⋊C4×C71C2311yescharacteristic
303C2×C22⋊C4×C71C2311yescharacteristic
304C2×C22⋊C4×C71C2311yescharacteristic
305C2×C22⋊C4×C71C2311yescharacteristic
306C2×C22⋊C4×C71C2311yescharacteristic
307C2×C22⋊C4×C71C2311yescharacteristic
308C2×C22⋊C4×C71C2311yescharacteristic
309C2×C22⋊C4×C71C2311yescharacteristic
310C2×C22⋊C4×C71C2311yescharacteristic
311C2×C42×C71—42no—
312C2×C42×C71C2311yescharacteristic
313C2×C42×C71C2311yescharacteristic
314C2×C42×C71C2311yescharacteristic
315C2×C42×C71C2311yescharacteristic
316C2×C42×C71C2311yescharacteristic
317C2×C42×C71C2311yescharacteristic
318C2×C42×C71C2311yescharacteristic
319#95×C71C2311yescharacteristic
320#95×C71C2311yescharacteristic
321#95×C71C2311yescharacteristic
322#95×C71C2311yescharacteristic
323#95×C71C2311yescharacteristic
324#95×C71C2311yescharacteristic
325#95×C71C2311yescharacteristic
326#95×C71C2311yescharacteristic
327#95×C71C2311yescharacteristic
328#95×C71C2311yescharacteristic
329#95×C71C2311yescharacteristic
330#95×C71C2311yescharacteristic
331#95×C71C2311yescharacteristic
332#95×C71C2311yescharacteristic
333#95×C71C2311yescharacteristic
334#95×C71C2311yescharacteristic
335#95×C71C2311yescharacteristic
336#95×C71C2311yescharacteristic
337#95×C71C2311yescharacteristic
338#95×C71C2311yescharacteristic
339#95×C71C2311yescharacteristic
340#95×C71C2311yescharacteristic
341#95×C71C2311yescharacteristic
342#95×C71C2311yescharacteristic
343#95×C71C2311yescharacteristic
344#95×C71C2311yescharacteristic
345#95×C71C2311yescharacteristic
346#95×C71C2311yescharacteristic
347#95×C71C2311yescharacteristic
348#95×C71C2311yescharacteristic
349#95×C71C2311yescharacteristic
350#95×C71C2311yescharacteristic
351#95×C71C2311yescharacteristic
352#95×C71C2311yescharacteristic
353#95×C71C2311yescharacteristic
354#95×C71C2311yescharacteristic
355#95×C71C2311yescharacteristic
356#95×C71C2311yescharacteristic
357#95×C71C2311yescharacteristic
358#95×C71C2311yescharacteristic
359#95×C71C2311yescharacteristic
360#95×C71C2311yescharacteristic
361#95×C71C2311yescharacteristic
362#95×C71C2311yescharacteristic
363C24×C71—22no—
364C24×C71—22no—
365C24×C71—22no—
366C24×C71—41no—
367C24×C71—41no—
368C24×C71—41no—
369C24×C71—41no—
370C24×C71—41no—
371C24×C71—41no—
372C24×C71—41no—
373C24×C71—41no—
374C24×C71—41no—
375C24×C71—41no—
376C24×C71#4114yes—
377C24×C71C2411yescharacteristic
378C24×C71C2411yescharacteristic
379C24×C71C2411yescharacteristic
380C24×C71C2411yescharacteristic
381C24×C71C2411yescharacteristic
382C24×C71C2411yescharacteristic
383C2×Q8×C71—22no—
384C2×Q8×C71—41no—
385C2×Q8×C71—41no—
386C2×D4×C71—22no—
387C2×D4×C71—22no—
388C2×D4×C71—22no—
389C2×D4×C71—22no—
390C2×D4×C71—22no—
391C2×D4×C71—22no—
392C2×D4×C71—22no—
393C2×D4×C71—22no—
394C2×D4×C71—22no—
395C2×D4×C71—22no—
396C2×D4×C71—22no—
397C2×D4×C71—22no—
398C2×D4×C71—22no—
399C2×D4×C71—22no—
400C2×D4×C71—41no—
401C2×D4×C71—41no—
402C2×D4×C71—41no—
403C2×D4×C71—41no—
404C2×D4×C71—41no—
405C2×D4×C71—41no—
406C2×D4×C71—41no—
407C2×D4×C71—41no—
408C2×D4×C71—41no—
409C2×D4×C71—41no—
410C2×D4×C71—41no—
411C2×D4×C71—41no—
412C2×D4×C71—41no—
413C2×D4×C71—416no—
414C22×C4×C71—22no—
415C22×C4×C71—22no—
416C22×C4×C71—22no—
417C22×C4×C71—22no—
418C22×C4×C71—22no—
419C22×C4×C71—22no—
420C22×C4×C71—22no—
421C22×C4×C71—22no—
422C22×C4×C71—22no—
423C22×C4×C71—22no—
424C22×C4×C71—41no—
425C22×C4×C71—41no—
426C22×C4×C71—41no—
427C22×C4×C71—41no—
428C22×C4×C71—41no—
429C22×C4×C71—41no—
430C22×C4×C71—41no—
431C22×C4×C71—41no—
432C22×C4×C71—41no—
433C22×C4×C71—41no—
434C22×C4×C71—41no—
435C22×C4×C71—41no—
436C22×C4×C71—41no—
437C22×C4×C71—41no—
438C22×C4×C71—41no—
439C22×C4×C71—41no—
440C22×C4×C71—41no—
441C22×C4×C71—41no—
442C22×C4×C71—41no—
443C22×C4×C71—41no—
444C22×C4×C71C2411yescharacteristic
445C22×C4×C71C2411yescharacteristic
446C22×C4×C71C2411yescharacteristic
447C22×C4×C71C2411yescharacteristic
448C22×C4×C71C2411yescharacteristic
449C22×C4×C71C2411yescharacteristic
450C22×C4×C71C2411yescharacteristic
451C22×C4×C71C2411yescharacteristic
452C22×C4×C71C2411yescharacteristic
453C22×C4×C71C2411yescharacteristic
454C22×C4×C71C2411yescharacteristic
455C22×C4×C71C2411yescharacteristic
456C22×C4×C71C2411yescharacteristic
457C22×C4×C71C2411yescharacteristic
458C22×C4×C71C2411yescharacteristic
459C22×C4×C71C2411yescharacteristic
460C22×C4×C71C2411yescharacteristic
461C22×C4×C71C2411yescharacteristic
462C22×C4×C71C2411yescharacteristic
463C22×C4×C71C2411yescharacteristic
464C22×C4×C71C2411yescharacteristic
465C22×C4×C71C2411yescharacteristic
466C22×C4×C71C2411yescharacteristic
467C22×C4×C71C2411yescharacteristic
468C22×C4×C71C2411yescharacteristic
469C4⋊C4×C71—22no—
470C4⋊C4×C71—41no—
471C4⋊C4×C71—41no—
472C4⋊C4×C71—41no—
473C4⋊C4×C71—41no—
474C4⋊C4×C71—41no—
475C4⋊C4×C71—41no—
476C4⋊C4×C71—41no—
477C4⋊C4×C71—41no—
478C4⋊C4×C71—41no—
479C4⋊C4×C71—41no—
480C4⋊C4×C71—41no—
481C4⋊C4×C71—41no—
482C4⋊C4×C71—41no—
483C4⋊C4×C71—41no—
484C4⋊C4×C71—41no—
485C4⋊C4×C71—41no—
486C4⋊C4×C71—41no—
487C4⋊C4×C71—41no—
488C4⋊C4×C71—41no—
489C4⋊C4×C71—41no—
490C4⋊C4×C71—41no—
491C4⋊C4×C71—41no—
492C4⋊C4×C71—41no—
493C4⋊C4×C71—41no—
494C4⋊C4×C71—41no—
495C22⋊C4×C71—22no—
496C22⋊C4×C71—22no—
497C22⋊C4×C71—22no—
498C22⋊C4×C71—22no—
499C22⋊C4×C71—22no—
500C22⋊C4×C71—22no—
501C22⋊C4×C71—22no—
502C22⋊C4×C71—22no—
503C22⋊C4×C71—22no—
504C22⋊C4×C71—22no—
505C22⋊C4×C71—22no—
506C22⋊C4×C71—22no—
507C22⋊C4×C71—22no—
508C22⋊C4×C71—22no—
509C22⋊C4×C71—41no—
510C22⋊C4×C71—41no—
511C22⋊C4×C71—41no—
512C22⋊C4×C71—41no—
513C22⋊C4×C71—41no—
514C22⋊C4×C71—41no—
515C22⋊C4×C71—41no—
516C22⋊C4×C71—41no—
517C22⋊C4×C71—41no—
518C22⋊C4×C71—41no—
519C22⋊C4×C71—41no—
520C22⋊C4×C71—41no—
521C22⋊C4×C71—41no—
522C22⋊C4×C71—41no—
523C22⋊C4×C71—41no—
524C22⋊C4×C71—41no—
525C22⋊C4×C71—41no—
526C22⋊C4×C71—41no—
527C22⋊C4×C71—41no—
528C22⋊C4×C71—41no—
529C22⋊C4×C71—41no—
530C22⋊C4×C71—41no—
531C22⋊C4×C71—41no—
532C22⋊C4×C71—41no—
533C22⋊C4×C71—41no—
534C22⋊C4×C71—41no—
535C22⋊C4×C71—41no—
536C22⋊C4×C71—41no—
537C22⋊C4×C71—41no—
538C22⋊C4×C71—41no—
539C22⋊C4×C71—41no—
540C22⋊C4×C71—41no—
541C22⋊C4×C71—41no—
542C22⋊C4×C71—41no—
543C22⋊C4×C71—41no—
544C22⋊C4×C71—41no—
545C22⋊C4×C71—41no—
546C22⋊C4×C71—41no—
547C22⋊C4×C71—41no—
548C22⋊C4×C71—41no—
549C22⋊C4×C71—41no—
550C22⋊C4×C71—41no—
551C42×C71—22no—
552C42×C71—22no—
553C42×C71—41no—
554C42×C71—41no—
555C42×C71—41no—
556C42×C71—41no—
557C42×C71—41no—
558C23×C71—21no—
559C23×C71—21no—
560C23×C71—21no—
561C23×C71—21no—
562C23×C71—21no—
563C23×C71—21no—
564C23×C71—21no—
565C23×C71—21no—
566C23×C71—21no—
567C23×C71—21no—
568C23×C71—21no—
569C23×C71—21no—
570C23×C71—21no—
571C23×C71—21no—
572C23×C71—21no—
573C23×C71—21no—
574C23×C71—28no—
575C23×C71—21no—
576C23×C71—21no—
577C23×C71—21no—
578C23×C71—21no—
579C23×C71—21no—
580C23×C71—21no—
581C23×C71—21no—
582C23×C71—21no—
583C23×C71—21no—
584C23×C71—21no—
585C23×C71—21no—
586C23×C71—21no—
587C23×C71—21no—
588C23×C71—21no—
589C23×C71—21no—
590C23×C71—21no—
591C23×C71—21no—
592C23×C71—21no—
593C23×C71—21no—
594C23×C71—21no—
595C23×C71—21no—
596C23×C71—44no—
597C23×C71—44no—
598C23×C71—44no—
599C23×C71—82no—
600C23×C71—82no—
601C23×C71—82no—
602C23×C71—82no—
603C23×C71—82no—
604C23×C71—82no—
605C23×C71—82no—
606C23×C71—82no—
607C23×C71—82no—
608C23×C71—82no—
609C23×C71C2×#4112yes—
610C23×C71C2×#4112yes—
611C23×C71C2×#4112yes—
612C23×C71H(5,𝔽2)12yes—
613C23×C71H(5,𝔽2)12yes—
614C23×C71C2511yescharacteristic
615Q8×C71—82no—
616D4×C71—44no—
617D4×C71—44no—
618D4×C71—44no—
619D4×C71—44no—
620D4×C71—44no—
621D4×C71—82no—
622D4×C71—82no—
623D4×C71—82no—
624D4×C71—82no—
625C2×C4×C71—21no—
626C2×C4×C71—21no—
627C2×C4×C71—21no—
628C2×C4×C71—21no—
629C2×C4×C71—21no—
630C2×C4×C71—21no—
631C2×C4×C71—21no—
632C2×C4×C71—21no—
633C2×C4×C71—21no—
634C2×C4×C71—21no—
635C2×C4×C71—21no—
636C2×C4×C71—21no—
637C2×C4×C71—21no—
638C2×C4×C71—21no—
639C2×C4×C71—21no—
640C2×C4×C71—21no—
641C2×C4×C71—21no—
642C2×C4×C71—21no—
643C2×C4×C71—21no—
644C2×C4×C71—21no—
645C2×C4×C71—21no—
646C2×C4×C71—21no—
647C2×C4×C71—21no—
648C2×C4×C71—21no—
649C2×C4×C71—21no—
650C2×C4×C71—21no—
651C2×C4×C71—21no—
652C2×C4×C71—21no—
653C2×C4×C71—21no—
654C2×C4×C71—21no—
655C2×C4×C71—21no—
656C2×C4×C71—21no—
657C2×C4×C71—21no—
658C2×C4×C71—21no—
659C2×C4×C71—21no—
660C2×C4×C71—21no—
661C2×C4×C71—21no—
662C2×C4×C71—21no—
663C2×C4×C71—21no—
664C2×C4×C71—21no—
665C2×C4×C71—21no—
666C2×C4×C71—21no—
667C2×C4×C71—21no—
668C2×C4×C71—21no—
669C2×C4×C71—21no—
670C2×C4×C71—21no—
671C2×C4×C71—21no—
672C2×C4×C71—21no—
673C2×C4×C71—21no—
674C2×C4×C71—21no—
675C2×C4×C71—21no—
676C2×C4×C71—21no—
677C2×C4×C71—21no—
678C2×C4×C71—21no—
679C2×C4×C71—21no—
680C2×C4×C71—21no—
681C2×C4×C71—21no—
682C2×C4×C71—21no—
683C2×C4×C71—21no—
684C2×C4×C71—21no—
685C2×C4×C71—21no—
686C2×C4×C71—21no—
687C2×C4×C71—21no—
688C2×C4×C71—21no—
689C2×C4×C71—21no—
690C2×C4×C71—21no—
691C2×C4×C71—21no—
692C2×C4×C71—21no—
693C2×C4×C71—21no—
694C2×C4×C71—21no—
695C2×C4×C71—21no—
696C2×C4×C71—21no—
697C2×C4×C71—21no—
698C2×C4×C71—21no—
699C2×C4×C71—44no—
700C2×C4×C71—44no—
701C2×C4×C71—44no—
702C2×C4×C71—44no—
703C2×C4×C71—44no—
704C2×C4×C71—82no—
705C2×C4×C71—82no—
706C2×C4×C71—82no—
707C2×C4×C71—82no—
708C2×C4×C71—82no—
709C2×C4×C71H(5,𝔽2)12yes—
710C22×C71—22no—
711C22×C71—22no—
712C22×C71—22no—
713C22×C71—22no—
714C22×C71—22no—
715C22×C71—22no—
716C22×C71—22no—
717C22×C71—22no—
718C22×C71—22no—
719C22×C71—22no—
720C22×C71—22no—
721C22×C71—22no—
722C22×C71—41no—
723C22×C71—41no—
724C22×C71—41no—
725C22×C71—41no—
726C22×C71—41no—
727C22×C71—41no—
728C22×C71—41no—
729C22×C71—41no—
730C22×C71—41no—
731C22×C71—41no—
732C22×C71—41no—
733C22×C71—41no—
734C22×C71—41no—
735C22×C71—41no—
736C22×C71—41no—
737C22×C71—41no—
738C22×C71—41no—
739C22×C71—41no—
740C22×C71—41no—
741C22×C71—41no—
742C22×C71—41no—
743C22×C71—41no—
744C22×C71—41no—
745C22×C71—41no—
746C22×C71—41no—
747C22×C71—41no—
748C22×C71—41no—
749C22×C71—41no—
750C22×C71—41no—
751C22×C71—88no—
752C22×C71—88no—
753C22×C71#53814yes—
754C22×C71C22×#4111yescharacteristic
755C22×C71C2×H(5,𝔽2)11yescharacteristic
756C22×C71C2×H(5,𝔽2)11yescharacteristic
757C22×C71C2×H(5,𝔽2)11yescharacteristic
758C22×C71#58511yescharacteristic
759C22×C71#58511yescharacteristic
760C22×C71#58511yescharacteristic
761C4×C71—22no—
762C4×C71—41no—
763C4×C71—41no—
764C4×C71—41no—
765C4×C71—41no—
766C4×C71—41no—
767C4×C71—41no—
768C4×C71—41no—
769C4×C71—41no—
770C4×C71—41no—
771C4×C71—41no—
772C4×C71—41no—
773C4×C71—41no—
774C4×C71—41no—
775C4×C71—41no—
776C4×C71—41no—
777C4×C71—41no—
778C4×C71—41no—
779C4×C71—41no—
780C4×C71—41no—
781C4×C71—41no—
782C4×C71—41no—
783C4×C71—41no—
784C4×C71—41no—
785C4×C71—41no—
786#36779C7111yesmaximal, characteristic, direct product factor, Sylow
787C2×C71—24no—
788C2×C71—42no—
789C2×C71—42no—
790C2×C71—81no—
791C2×C71—81no—
792C2×C71—81no—
793C2×C71C2×#53811yescharacteristic
794C2×C71#349111yescharacteristic
795C2×C71#350511yescharacteristic
796C2×C71#353411yescharacteristic
797C2×C71#354211yescharacteristic
798C2×C71#354511yescharacteristic
799C2×C71#356011yescharacteristic
800#2852C2×C7111yescharacteristic, complemented
801#2850C2×C7111yescharacteristic, complemented
802#2781C2×C7111yescharacteristic, complemented
803#2781C2×C7111yescharacteristic, complemented
804#2778C2×C7111yescharacteristic, complemented
805#2765C2×C7111yescharacteristic, complemented
806#2764C2×C7111yescharacteristic, complemented
807#2761C2×C7111yescharacteristic, complemented
808#2756C2×C7111yescharacteristic, complemented
809#2749C2×C7111yescharacteristic, complemented
810#2743C2×C7111yescharacteristic, complemented
811#2741C2×C7111yescharacteristic, complemented
812#2735C2×C7111yescharacteristic, complemented
813#2735C2×C7111yescharacteristic, complemented
814#2730C2×C7111yescharacteristic, complemented
815#2702C2×C7111yescharacteristic, complemented
816#2685C2×C7111yescharacteristic, complemented
817#2684C2×C7111yescharacteristic, complemented
818#2623C2×C7111yescharacteristic, complemented
819#2618C2×C7111yescharacteristic, complemented
820#2510C2×C7111yescharacteristic, complemented
821#2488C2×C7111yescharacteristic, complemented
822#2444C2×C7111yescharacteristic, complemented
823#2437C2×C7111yescharacteristic, complemented
824#2425C2×C7111yescharacteristic, complemented
825#2412C2×C7111yescharacteristic, complemented
826#2410C2×C7111yescharacteristic
827#2405C2×C7111yescharacteristic, complemented
828#2321C2×C7111yescharacteristic, complemented
829#2308C2×C7111yescharacteristic, complemented
830C2×#388C2×C7111yescharacteristic, complemented
831C71#3677911yescharacteristic, direct product factor, Sylow
832C23×D4C22×C7111yescharacteristic
833C2×#126C22×C7111yescharacteristic, complemented
834C2×#124C22×C7111yescharacteristic, complemented
835C2×#123C22×C7111yescharacteristic
836C2×#123C22×C7111yescharacteristic
837C2×#123C22×C7111yescharacteristic, complemented
838C2×C22⋊Q8C22×C7111yescharacteristic, complemented
839C2×C22⋊Q8C22×C7111yescharacteristic, complemented
840C2×#121C22×C7111yescharacteristic
841C2×#121C22×C7111yescharacteristic
842C2×#120C22×C7111yescharacteristic
843C2×#120C22×C7111yescharacteristic
844C2×C4×D4C22×C7111yescharacteristic, complemented
845C22×C4⋊C4C22×C7111yescharacteristic, complemented
846C22×C22⋊C4C22×C7111yescharacteristic
847C22×C22⋊C4C22×C7111yescharacteristic
848C22×C22⋊C4C22×C7111yescharacteristic
849C22×C22⋊C4C22×C7111yescharacteristic
850C22×C42C22×C7111yescharacteristic, complemented
851#401C22×C7111yescharacteristic, complemented
852#400C22×C7111yescharacteristic, complemented
853#400C22×C7111yescharacteristic, complemented
854#400C22×C7111yescharacteristic, complemented
855#400C22×C7111yescharacteristic, complemented
856#400C22×C7111yescharacteristic, complemented
857#400C22×C7111yescharacteristic, complemented
858#399C22×C7111yescharacteristic
859#399C22×C7111yescharacteristic, complemented
860#399C22×C7111yescharacteristic, complemented
861#398C22×C7111yescharacteristic, complemented
862#398C22×C7111yescharacteristic, complemented
863#398C22×C7111yescharacteristic, complemented
864#398C22×C7111yescharacteristic, complemented
865#398C22×C7111yescharacteristic, complemented
866#397C22×C7111yescharacteristic
867#397C22×C7111yescharacteristic
868#397C22×C7111yescharacteristic, complemented
869#397C22×C7111yescharacteristic, complemented
870#397C22×C7111yescharacteristic, complemented
871#397C22×C7111yescharacteristic, complemented
872#397C22×C7111yescharacteristic, complemented
873#397C22×C7111yescharacteristic, complemented
874#397C22×C7111yescharacteristic, complemented
875#397C22×C7111yescharacteristic, complemented
876#396C22×C7111yescharacteristic
877#396C22×C7111yescharacteristic
878#396C22×C7111yescharacteristic, complemented
879#396C22×C7111yescharacteristic, complemented
880#396C22×C7111yescharacteristic, complemented
881#396C22×C7111yescharacteristic, complemented
882#396C22×C7111yescharacteristic, complemented
883#394C22×C7111yescharacteristic
884#394C22×C7111yescharacteristic
885#394C22×C7111yescharacteristic
886#394C22×C7111yescharacteristic
887#394C22×C7111yescharacteristic
888#394C22×C7111yescharacteristic
889#394C22×C7111yescharacteristic
890#394C22×C7111yescharacteristic
891#394C22×C7111yescharacteristic, complemented
892#394C22×C7111yescharacteristic, complemented
893#394C22×C7111yescharacteristic, complemented
894#394C22×C7111yescharacteristic, complemented
895#393C22×C7111yescharacteristic
896#393C22×C7111yescharacteristic, complemented
897#392C22×C7111yescharacteristic
898#392C22×C7111yescharacteristic
899#391C22×C7111yescharacteristic, complemented
900#391C22×C7111yescharacteristic, complemented
901#390C22×C7111yescharacteristic
902#390C22×C7111yescharacteristic, complemented
903#390C22×C7111yescharacteristic, complemented
904#389C22×C7111yescharacteristic, complemented
905#388C22×C7111yescharacteristic
906#388C22×C7111yescharacteristic
907#388C22×C7111yescharacteristic
908#388C22×C7111yescharacteristic
909#388C22×C7111yescharacteristic
910#388C22×C7111yescharacteristic
911#388C22×C7111yescharacteristic, complemented
912#388C22×C7111yescharacteristic, complemented
913#388C22×C7111yescharacteristic, complemented
914#388C22×C7111yescharacteristic, complemented
915#388C22×C7111yescharacteristic, complemented
916#388C22×C7111yescharacteristic, complemented
917#388C22×C7111yescharacteristic, complemented
918#388C22×C7111yescharacteristic, complemented
919#388C22×C7111yescharacteristic, complemented
920#388C22×C7111yescharacteristic, complemented
921#388C22×C7111yescharacteristic, complemented
922#388C22×C7111yescharacteristic, complemented
923#388C22×C7111yescharacteristic, complemented
924#388C22×C7111yescharacteristic, complemented
925#388C22×C7111yescharacteristic, complemented
926#388C22×C7111yescharacteristic, complemented
927#388C22×C7111yescharacteristic, complemented
928#388C22×C7111yescharacteristic, complemented
929#388C22×C7111yescharacteristic, complemented
930#387C22×C7111yescharacteristic, complemented
931#387C22×C7111yescharacteristic, complemented
932#387C22×C7111yescharacteristic, complemented
933#387C22×C7111yescharacteristic, complemented
934#387C22×C7111yescharacteristic, complemented
935#386C22×C7111yescharacteristic
936#386C22×C7111yescharacteristic
937#386C22×C7111yescharacteristic
938#386C22×C7111yescharacteristic
939#386C22×C7111yescharacteristic
940#386C22×C7111yescharacteristic
941#386C22×C7111yescharacteristic
942#386C22×C7111yescharacteristic
943#386C22×C7111yescharacteristic
944#386C22×C7111yescharacteristic
945#386C22×C7111yescharacteristic
946#386C22×C7111yescharacteristic
947#386C22×C7111yescharacteristic
948#386C22×C7111yescharacteristic
949#386C22×C7111yescharacteristic, complemented
950#386C22×C7111yescharacteristic, complemented
951#386C22×C7111yescharacteristic, complemented
952#386C22×C7111yescharacteristic, complemented
953#386C22×C7111yescharacteristic, complemented
954#386C22×C7111yescharacteristic, complemented
955#386C22×C7111yescharacteristic, complemented
956#385C22×C7111yescharacteristic
957#385C22×C7111yescharacteristic
958#385C22×C7111yescharacteristic
959#385C22×C7111yescharacteristic, complemented
960#385C22×C7111yescharacteristic, complemented
961#385C22×C7111yescharacteristic, complemented
962#385C22×C7111yescharacteristic, complemented
963#385C22×C7111yescharacteristic, complemented
964#385C22×C7111yescharacteristic, complemented
965#383C22×C7111yescharacteristic, complemented
966#383C22×C7111yescharacteristic, complemented
967#382C22×C7111yescharacteristic, complemented
968#382C22×C7111yescharacteristic, complemented
969#381C22×C7111yescharacteristic
970#381C22×C7111yescharacteristic
971#381C22×C7111yescharacteristic, complemented
972#381C22×C7111yescharacteristic, complemented
973#380C22×C7111yescharacteristic, complemented
974#380C22×C7111yescharacteristic, complemented
975#380C22×C7111yescharacteristic, complemented
976#380C22×C7111yescharacteristic, complemented
977#380C22×C7111yescharacteristic, complemented
978#379C22×C7111yescharacteristic
979#379C22×C7111yescharacteristic
980#379C22×C7111yescharacteristic
981#379C22×C7111yescharacteristic
982#379C22×C7111yescharacteristic
983#379C22×C7111yescharacteristic
984C4×C22⋊C4C22×C7111yescharacteristic, complemented
985C2×#95C22×C7111yescharacteristic, complemented
986C2×#95C22×C7111yescharacteristic, complemented
987C25C23×C7111yescharacteristic
988C25C23×C7111yescharacteristic
989C22×Q8C23×C7111yescharacteristic
990C22×D4—24no—
991C22×D4—42no—
992C22×D4—42no—
993C22×D4C23×C7111yescharacteristic
994C22×D4C23×C7111yescharacteristic
995C22×D4C23×C7111yescharacteristic
996C22×D4C23×C7111yescharacteristic
997C22×D4C23×C7111yescharacteristic
998C22×D4C23×C7111yescharacteristic
999C22×D4C23×C7111yescharacteristic
1000C22×D4C23×C7111yescharacteristic
1001C22×D4C23×C7111yescharacteristic
1002C23×C4C23×C7111yescharacteristic
1003C23×C4C23×C7111yescharacteristic
1004C23×C4C23×C7111yescharacteristic
1005C23×C4C23×C7111yescharacteristic
1006C23×C4C23×C7111yescharacteristic
1007C23×C4C23×C7111yescharacteristic
1008C23×C4C23×C7111yescharacteristic
1009C23×C4C23×C7111yescharacteristic
1010C23×C4C23×C7111yescharacteristic
1011C23×C4C23×C7111yescharacteristic
1012#126—42no—
1013#124—42no—
1014#123—42no—
1015#123—42no—
1016#123—42no—
1017C22⋊Q8—42no—
1018C22⋊Q8—42no—
1019#121—42no—
1020#121—42no—
1021#120—24no—
1022#120—42no—
1023C4×D4—42no—
1024C2×C4⋊C4—42no—
1025C2×C4⋊C4C23×C7111yescharacteristic
1026C2×C4⋊C4C23×C7111yescharacteristic
1027C2×C4⋊C4C23×C7111yescharacteristic
1028C2×C4⋊C4C23×C7111yescharacteristic
1029C2×C4⋊C4C23×C7111yescharacteristic
1030C2×C4⋊C4C23×C7111yescharacteristic
1031C2×C4⋊C4C23×C7111yescharacteristic
1032C2×C4⋊C4C23×C7111yescharacteristic
1033C2×C4⋊C4C23×C7111yescharacteristic
1034C2×C4⋊C4C23×C7111yescharacteristic
1035C2×C4⋊C4C23×C7111yescharacteristic
1036C2×C4⋊C4C23×C7111yescharacteristic
1037C2×C4⋊C4C23×C7111yescharacteristic
1038C2×C4⋊C4C23×C7111yescharacteristic
1039C2×C4⋊C4C23×C7111yescharacteristic
1040C2×C4⋊C4C23×C7111yescharacteristic
1041C2×C4⋊C4C23×C7111yescharacteristic
1042C2×C4⋊C4C23×C7111yescharacteristic
1043C2×C4⋊C4C23×C7111yescharacteristic
1044C2×C4⋊C4C23×C7111yescharacteristic
1045C2×C4⋊C4C23×C7111yescharacteristic
1046C2×C4⋊C4C23×C7111yescharacteristic
1047C2×C4⋊C4C23×C7111yescharacteristic
1048C2×C4⋊C4C23×C7111yescharacteristic
1049C2×C4⋊C4C23×C7111yescharacteristic
1050C2×C4⋊C4C23×C7111yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—42no—
1054C2×C22⋊C4—42no—
1055C2×C22⋊C4C23×C7111yescharacteristic
1056C2×C22⋊C4C23×C7111yescharacteristic
1057C2×C22⋊C4C23×C7111yescharacteristic
1058C2×C22⋊C4C23×C7111yescharacteristic
1059C2×C22⋊C4C23×C7111yescharacteristic
1060C2×C22⋊C4C23×C7111yescharacteristic
1061C2×C22⋊C4C23×C7111yescharacteristic
1062C2×C22⋊C4C23×C7111yescharacteristic
1063C2×C22⋊C4C23×C7111yescharacteristic
1064C2×C22⋊C4C23×C7111yescharacteristic
1065C2×C22⋊C4C23×C7111yescharacteristic
1066C2×C22⋊C4C23×C7111yescharacteristic
1067C2×C22⋊C4C23×C7111yescharacteristic
1068C2×C22⋊C4C23×C7111yescharacteristic
1069C2×C22⋊C4C23×C7111yescharacteristic
1070C2×C22⋊C4C23×C7111yescharacteristic
1071C2×C22⋊C4C23×C7111yescharacteristic
1072C2×C22⋊C4C23×C7111yescharacteristic
1073C2×C22⋊C4C23×C7111yescharacteristic
1074C2×C22⋊C4C23×C7111yescharacteristic
1075C2×C22⋊C4C23×C7111yescharacteristic
1076C2×C22⋊C4C23×C7111yescharacteristic
1077C2×C22⋊C4C23×C7111yescharacteristic
1078C2×C22⋊C4C23×C7111yescharacteristic
1079C2×C22⋊C4C23×C7111yescharacteristic
1080C2×C22⋊C4C23×C7111yescharacteristic
1081C2×C22⋊C4C23×C7111yescharacteristic
1082C2×C22⋊C4C23×C7111yescharacteristic
1083C2×C22⋊C4C23×C7111yescharacteristic
1084C2×C22⋊C4C23×C7111yescharacteristic
1085C2×C22⋊C4C23×C7111yescharacteristic
1086C2×C22⋊C4C23×C7111yescharacteristic
1087C2×C22⋊C4C23×C7111yescharacteristic
1088C2×C22⋊C4C23×C7111yescharacteristic
1089C2×C22⋊C4C23×C7111yescharacteristic
1090C2×C22⋊C4C23×C7111yescharacteristic
1091C2×C22⋊C4C23×C7111yescharacteristic
1092C2×C22⋊C4C23×C7111yescharacteristic
1093C2×C22⋊C4C23×C7111yescharacteristic
1094C2×C22⋊C4C23×C7111yescharacteristic
1095C2×C22⋊C4C23×C7111yescharacteristic
1096C2×C22⋊C4C23×C7111yescharacteristic
1097C2×C22⋊C4C23×C7111yescharacteristic
1098C2×C22⋊C4C23×C7111yescharacteristic
1099C2×C22⋊C4C23×C7111yescharacteristic
1100C2×C22⋊C4C23×C7111yescharacteristic
1101C2×C22⋊C4C23×C7111yescharacteristic
1102C2×C22⋊C4C23×C7111yescharacteristic
1103C2×C22⋊C4C23×C7111yescharacteristic
1104C2×C22⋊C4C23×C7111yescharacteristic
1105C2×C22⋊C4C23×C7111yescharacteristic
1106C2×C22⋊C4C23×C7111yescharacteristic
1107C2×C22⋊C4C23×C7111yescharacteristic
1108C2×C22⋊C4C23×C7111yescharacteristic
1109C2×C22⋊C4C23×C7111yescharacteristic
1110C2×C22⋊C4C23×C7111yescharacteristic
1111C2×C42—42no—
1112C2×C42C23×C7111yescharacteristic
1113C2×C42C23×C7111yescharacteristic
1114C2×C42C23×C7111yescharacteristic
1115C2×C42C23×C7111yescharacteristic
1116C2×C42C23×C7111yescharacteristic
1117C2×C42C23×C7111yescharacteristic
1118C2×C42C23×C7111yescharacteristic
1119#95C23×C7111yescharacteristic
1120#95C23×C7111yescharacteristic
1121#95C23×C7111yescharacteristic
1122#95C23×C7111yescharacteristic
1123#95C23×C7111yescharacteristic
1124#95C23×C7111yescharacteristic
1125#95C23×C7111yescharacteristic
1126#95C23×C7111yescharacteristic
1127#95C23×C7111yescharacteristic
1128#95C23×C7111yescharacteristic
1129#95C23×C7111yescharacteristic
1130#95C23×C7111yescharacteristic
1131#95C23×C7111yescharacteristic
1132#95C23×C7111yescharacteristic
1133#95C23×C7111yescharacteristic
1134#95C23×C7111yescharacteristic
1135#95C23×C7111yescharacteristic
1136#95C23×C7111yescharacteristic
1137#95C23×C7111yescharacteristic
1138#95C23×C7111yescharacteristic
1139#95C23×C7111yescharacteristic
1140#95C23×C7111yescharacteristic
1141#95C23×C7111yescharacteristic
1142#95C23×C7111yescharacteristic
1143#95C23×C7111yescharacteristic
1144#95C23×C7111yescharacteristic
1145#95C23×C7111yescharacteristic
1146#95C23×C7111yescharacteristic
1147#95C23×C7111yescharacteristic
1148#95C23×C7111yescharacteristic
1149#95C23×C7111yescharacteristic
1150#95C23×C7111yescharacteristic
1151#95C23×C7111yescharacteristic
1152#95C23×C7111yescharacteristic
1153#95C23×C7111yescharacteristic
1154#95C23×C7111yescharacteristic
1155#95C23×C7111yescharacteristic
1156#95C23×C7111yescharacteristic
1157#95C23×C7111yescharacteristic
1158#95C23×C7111yescharacteristic
1159#95C23×C7111yescharacteristic
1160#95C23×C7111yescharacteristic
1161#95C23×C7111yescharacteristic
1162#95C23×C7111yescharacteristic
1163C24—22no—
1164C24—22no—
1165C24—22no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—41no—
1170C24—41no—
1171C24—41no—
1172C24—41no—
1173C24—41no—
1174C24—41no—
1175C24—41no—
1176C24#41×C7114yes—
1177C24C24×C7111yescharacteristic
1178C24C24×C7111yescharacteristic
1179C24C24×C7111yescharacteristic
1180C24C24×C7111yescharacteristic
1181C24C24×C7111yescharacteristic
1182C24C24×C7111yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—22no—
1192C2×D4—22no—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—41no—
1203C2×D4—41no—
1204C2×D4—41no—
1205C2×D4—41no—
1206C2×D4—41no—
1207C2×D4—41no—
1208C2×D4—41no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—416no—
1214C22×C4—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4C24×C7111yescharacteristic
1245C22×C4C24×C7111yescharacteristic
1246C22×C4C24×C7111yescharacteristic
1247C22×C4C24×C7111yescharacteristic
1248C22×C4C24×C7111yescharacteristic
1249C22×C4C24×C7111yescharacteristic
1250C22×C4C24×C7111yescharacteristic
1251C22×C4C24×C7111yescharacteristic
1252C22×C4C24×C7111yescharacteristic
1253C22×C4C24×C7111yescharacteristic
1254C22×C4C24×C7111yescharacteristic
1255C22×C4C24×C7111yescharacteristic
1256C22×C4C24×C7111yescharacteristic
1257C22×C4C24×C7111yescharacteristic
1258C22×C4C24×C7111yescharacteristic
1259C22×C4C24×C7111yescharacteristic
1260C22×C4C24×C7111yescharacteristic
1261C22×C4C24×C7111yescharacteristic
1262C22×C4C24×C7111yescharacteristic
1263C22×C4C24×C7111yescharacteristic
1264C22×C4C24×C7111yescharacteristic
1265C22×C4C24×C7111yescharacteristic
1266C22×C4C24×C7111yescharacteristic
1267C22×C4C24×C7111yescharacteristic
1268C22×C4C24×C7111yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—41no—
1279C4⋊C4—41no—
1280C4⋊C4—41no—
1281C4⋊C4—41no—
1282C4⋊C4—41no—
1283C4⋊C4—41no—
1284C4⋊C4—41no—
1285C4⋊C4—41no—
1286C4⋊C4—41no—
1287C4⋊C4—41no—
1288C4⋊C4—41no—
1289C4⋊C4—41no—
1290C4⋊C4—41no—
1291C4⋊C4—41no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—22no—
1305C22⋊C4—22no—
1306C22⋊C4—22no—
1307C22⋊C4—22no—
1308C22⋊C4—22no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C22⋊C4—41no—
1318C22⋊C4—41no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C42—22no—
1352C42—22no—
1353C42—41no—
1354C42—41no—
1355C42—41no—
1356C42—41no—
1357C42—41no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—44no—
1397C23—44no—
1398C23—44no—
1399C23—82no—
1400C23—82no—
1401C23—82no—
1402C23—82no—
1403C23—82no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23C2×#41×C7112yes—
1410C23C2×#41×C7112yes—
1411C23C2×#41×C7112yes—
1412C23H(5,𝔽2)×C7112yes—
1413C23H(5,𝔽2)×C7112yes—
1414C23C25×C7111yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—44no—
1420D4—44no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—44no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—82no—
1505C2×C4—82no—
1506C2×C4—82no—
1507C2×C4—82no—
1508C2×C4—82no—
1509C2×C4H(5,𝔽2)×C7112yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—88no—
1552C22—88no—
1553C22#538×C7114yes—
1554C22C22×#41×C7111yescharacteristic
1555C22C2×H(5,𝔽2)×C7111yescharacteristic
1556C22C2×H(5,𝔽2)×C7111yescharacteristic
1557C22C2×H(5,𝔽2)×C7111yescharacteristic
1558C22#585×C7111yescharacteristic
1559C22#585×C7111yescharacteristic
1560C22#585×C7111yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—41no—
1582C4—41no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C2—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—81no—
1591C2—81no—
1592C2C2×#538×C7111yescharacteristic
1593C2C71×#349111yescharacteristic
1594C2C71×#350511yescharacteristic
1595C2C71×#353411yescharacteristic
1596C2C71×#354211yescharacteristic
1597C2C71×#354511yescharacteristic
1598C2C71×#356011yescharacteristic
subgroupG/H
center, socleC23×C71C25
commutator, Frattini, cosocleC23C25×C71
prime radicalC71×#2410C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#2852C2semidirect
2. C71×#2850C2semidirect
3. C71×#2781C2semidirect
4. C71×#2781C2semidirect
5. C71×#2778C2semidirect
6. C71×#2765C2semidirect
7. C71×#2764C2semidirect
8. C71×#2761C2semidirect
9. C71×#2756C2semidirect
10. C71×#2749C2semidirect
11. C71×#2743C2semidirect
12. C71×#2741C2semidirect
13. C71×#2735C2semidirect
14. C71×#2735C2semidirect
15. C71×#2730C2semidirect
16. C71×#2702C2semidirect
17. C71×#2685C2semidirect
18. C71×#2684C2semidirect
19. C71×#2623C2semidirect
20. C71×#2618C2semidirect
21. C71×#2510C2semidirect
22. C71×#2488C2semidirect
23. C71×#2444C2semidirect
24. C71×#2437C2semidirect
25. C71×#2425C2semidirect
26. C71×#2412C2semidirect
28. C71×#2405C2semidirect
29. C71×#2321C2semidirect
30. C71×#2308C2semidirect
31. C2×#388×C71C2semidirect
33. C2×#126×C71C22semidirect
34. C2×#124×C71C22semidirect
37. C2×#123×C71C22semidirect
38. C2×C22⋊Q8×C71C22semidirect
39. C2×C22⋊Q8×C71C22semidirect
44. C2×C4×D4×C71C22semidirect
45. C22×C4⋊C4×C71C22semidirect
50. C22×C42×C71C22semidirect
51. #401×C71C22semidirect
52. #400×C71C22semidirect
53. #400×C71C22semidirect
54. #400×C71C22semidirect
55. #400×C71C22semidirect
56. #400×C71C22semidirect
57. #400×C71C22semidirect
59. #399×C71C22semidirect
60. #399×C71C22semidirect
61. #398×C71C22semidirect
62. #398×C71C22semidirect
63. #398×C71C22semidirect
64. #398×C71C22semidirect
65. #398×C71C22semidirect
68. #397×C71C22semidirect
69. #397×C71C22semidirect
70. #397×C71C22semidirect
71. #397×C71C22semidirect
72. #397×C71C22semidirect
73. #397×C71C22semidirect
74. #397×C71C22semidirect
75. #397×C71C22semidirect
78. #396×C71C22semidirect
79. #396×C71C22semidirect
80. #396×C71C22semidirect
81. #396×C71C22semidirect
82. #396×C71C22semidirect
91. #394×C71C22semidirect
92. #394×C71C22semidirect
93. #394×C71C22semidirect
94. #394×C71C22semidirect
96. #393×C71C22semidirect
99. #391×C71C22semidirect
100. #391×C71C22semidirect
102. #390×C71C22semidirect
103. #390×C71C22semidirect
104. #389×C71C22semidirect
111. #388×C71C22semidirect
112. #388×C71C22semidirect
113. #388×C71C22semidirect
114. #388×C71C22semidirect
115. #388×C71C22semidirect
116. #388×C71C22semidirect
117. #388×C71C22semidirect
118. #388×C71C22semidirect
119. #388×C71C22semidirect
120. #388×C71C22semidirect
121. #388×C71C22semidirect
122. #388×C71C22semidirect
123. #388×C71C22semidirect
124. #388×C71C22semidirect
125. #388×C71C22semidirect
126. #388×C71C22semidirect
127. #388×C71C22semidirect
128. #388×C71C22semidirect
129. #388×C71C22semidirect
130. #387×C71C22semidirect
131. #387×C71C22semidirect
132. #387×C71C22semidirect
133. #387×C71C22semidirect
134. #387×C71C22semidirect
149. #386×C71C22semidirect
150. #386×C71C22semidirect
151. #386×C71C22semidirect
152. #386×C71C22semidirect
153. #386×C71C22semidirect
154. #386×C71C22semidirect
155. #386×C71C22semidirect
159. #385×C71C22semidirect
160. #385×C71C22semidirect
161. #385×C71C22semidirect
162. #385×C71C22semidirect
163. #385×C71C22semidirect
164. #385×C71C22semidirect
165. #383×C71C22semidirect
166. #383×C71C22semidirect
167. #382×C71C22semidirect
168. #382×C71C22semidirect
171. #381×C71C22semidirect
172. #381×C71C22semidirect
173. #380×C71C22semidirect
174. #380×C71C22semidirect
175. #380×C71C22semidirect
176. #380×C71C22semidirect
177. #380×C71C22semidirect
184. C4×C22⋊C4×C71C22semidirect
185. C2×#95×C71C22semidirect
186. C2×#95×C71C22semidirect
786. #36779C71direct (N × H)
800. #2852C2×C71semidirect
801. #2850C2×C71semidirect
802. #2781C2×C71semidirect
803. #2781C2×C71semidirect
804. #2778C2×C71semidirect
805. #2765C2×C71semidirect
806. #2764C2×C71semidirect
807. #2761C2×C71semidirect
808. #2756C2×C71semidirect
809. #2749C2×C71semidirect
810. #2743C2×C71semidirect
811. #2741C2×C71semidirect
812. #2735C2×C71semidirect
813. #2735C2×C71semidirect
814. #2730C2×C71semidirect
815. #2702C2×C71semidirect
816. #2685C2×C71semidirect
817. #2684C2×C71semidirect
818. #2623C2×C71semidirect
819. #2618C2×C71semidirect
820. #2510C2×C71semidirect
821. #2488C2×C71semidirect
822. #2444C2×C71semidirect
823. #2437C2×C71semidirect
824. #2425C2×C71semidirect
825. #2412C2×C71semidirect
827. #2405C2×C71semidirect
828. #2321C2×C71semidirect
829. #2308C2×C71semidirect
830. C2×#388C2×C71semidirect
831. C71#36779direct (N × H)
833. C2×#126C22×C71semidirect
834. C2×#124C22×C71semidirect
837. C2×#123C22×C71semidirect
838. C2×C22⋊Q8C22×C71semidirect
839. C2×C22⋊Q8C22×C71semidirect
844. C2×C4×D4C22×C71semidirect
845. C22×C4⋊C4C22×C71semidirect
850. C22×C42C22×C71semidirect
851. #401C22×C71semidirect
852. #400C22×C71semidirect
853. #400C22×C71semidirect
854. #400C22×C71semidirect
855. #400C22×C71semidirect
856. #400C22×C71semidirect
857. #400C22×C71semidirect
859. #399C22×C71semidirect
860. #399C22×C71semidirect
861. #398C22×C71semidirect
862. #398C22×C71semidirect
863. #398C22×C71semidirect
864. #398C22×C71semidirect
865. #398C22×C71semidirect
868. #397C22×C71semidirect
869. #397C22×C71semidirect
870. #397C22×C71semidirect
871. #397C22×C71semidirect
872. #397C22×C71semidirect
873. #397C22×C71semidirect
874. #397C22×C71semidirect
875. #397C22×C71semidirect
878. #396C22×C71semidirect
879. #396C22×C71semidirect
880. #396C22×C71semidirect
881. #396C22×C71semidirect
882. #396C22×C71semidirect
891. #394C22×C71semidirect
892. #394C22×C71semidirect
893. #394C22×C71semidirect
894. #394C22×C71semidirect
896. #393C22×C71semidirect
899. #391C22×C71semidirect
900. #391C22×C71semidirect
902. #390C22×C71semidirect
903. #390C22×C71semidirect
904. #389C22×C71semidirect
911. #388C22×C71semidirect
912. #388C22×C71semidirect
913. #388C22×C71semidirect
914. #388C22×C71semidirect
915. #388C22×C71semidirect
916. #388C22×C71semidirect
917. #388C22×C71semidirect
918. #388C22×C71semidirect
919. #388C22×C71semidirect
920. #388C22×C71semidirect
921. #388C22×C71semidirect
922. #388C22×C71semidirect
923. #388C22×C71semidirect
924. #388C22×C71semidirect
925. #388C22×C71semidirect
926. #388C22×C71semidirect
927. #388C22×C71semidirect
928. #388C22×C71semidirect
929. #388C22×C71semidirect
930. #387C22×C71semidirect
931. #387C22×C71semidirect
932. #387C22×C71semidirect
933. #387C22×C71semidirect
934. #387C22×C71semidirect
949. #386C22×C71semidirect
950. #386C22×C71semidirect
951. #386C22×C71semidirect
952. #386C22×C71semidirect
953. #386C22×C71semidirect
954. #386C22×C71semidirect
955. #386C22×C71semidirect
959. #385C22×C71semidirect
960. #385C22×C71semidirect
961. #385C22×C71semidirect
962. #385C22×C71semidirect
963. #385C22×C71semidirect
964. #385C22×C71semidirect
965. #383C22×C71semidirect
966. #383C22×C71semidirect
967. #382C22×C71semidirect
968. #382C22×C71semidirect
971. #381C22×C71semidirect
972. #381C22×C71semidirect
973. #380C22×C71semidirect
974. #380C22×C71semidirect
975. #380C22×C71semidirect
976. #380C22×C71semidirect
977. #380C22×C71semidirect
984. C4×C22⋊C4C22×C71semidirect
985. C2×#95C22×C71semidirect
986. C2×#95C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#28522
C71×#28502
C71×#27812
C71×#27782
C71×#27652
C71×#27642
C71×#27612
C71×#27562
C71×#27492
C71×#27432
C71×#27412
C71×#27352
C71×#27302
C71×#27022
C71×#26852
C71×#26842
C71×#26232
C71×#26182
C71×#25102
C71×#24882
C71×#24442
C71×#24372
C71×#24252
C71×#24122
C71×#24102
C71×#24052
C71×#23212
C71×#23082
C2×#388×C712
#3677971