Finite Group Databasebeta

← C71×#61639 #31882511

Subgroups — C71×#61639 #31882511

Order 18176.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3542C211yesmaximal, characteristic, complemented
2C71×#3488C211yesmaximal, characteristic, complemented
3C71×#3319C211yesmaximal, characteristic, complemented
4C71×#3310C211yesmaximal, characteristic, complemented
5C71×#3309C211yesmaximal, characteristic, complemented
6C71×#3308C211yesmaximal, characteristic, complemented
7C71×#3305C211yesmaximal, characteristic, complemented
8C71×#3300C211yesmaximal, characteristic, complemented
9C71×#3297C211yesmaximal, characteristic, complemented
10C71×#3294C211yesmaximal, characteristic, complemented
11C71×#3287C211yesmaximal, characteristic, complemented
12C71×#3282C211yesmaximal, characteristic, complemented
13C71×#3280C211yesmaximal, characteristic, complemented
14D4×D8×C71C211yesmaximal, characteristic, complemented
15C71×#3268C211yesmaximal, characteristic, complemented
16C71×#3268C211yesmaximal, characteristic, complemented
17C71×#3265C211yesmaximal, characteristic, complemented
18C71×#3264C211yesmaximal, characteristic, complemented
19C71×#3224C211yesmaximal, characteristic, complemented
20C71×#3220C211yesmaximal, characteristic, complemented
21C71×#3203C211yesmaximal, characteristic, complemented
22C71×#3198C211yesmaximal, characteristic, complemented
23C71×#3188C211yesmaximal, characteristic, complemented
24C71×#3186C211yesmaximal, characteristic, complemented
25C71×#3124C211yesmaximal, characteristic, complemented
26C71×#3119C211yesmaximal, characteristic, complemented
27C71×#3012C211yesmaximal, characteristic, complemented
28C71×#3008C211yesmaximal, characteristic, complemented
29C71×#3002C211yesmaximal, characteristic, complemented
30C2×#449×C71C211yesmaximal, characteristic, complemented
31C71×#2977C211yesmaximal, characteristic, complemented
32C2×H(5,𝔽2)×C71C2211yescharacteristic, complemented
33C22×#41×C71C2211yescharacteristic, complemented
34C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
36C2×#135×C71C2211yescharacteristic, complemented
37C2×#135×C71C2211yescharacteristic, complemented
38C2×#135×C71C2211yescharacteristic, complemented
39C22×SD16×C71C2211yescharacteristic, complemented
40C22×D8×C71C2211yescharacteristic, complemented
41C22×D8×C71C2211yescharacteristic, complemented
42#562×C71—21no—
43#560×C71—21no—
44#555×C71C2211yescharacteristic, complemented
45#553×C71C2211yescharacteristic, complemented
46#552×C71C2211yescharacteristic, complemented
47#551×C71—21no—
48#550×C71C2211yescharacteristic, complemented
49#550×C71C2211yescharacteristic, complemented
50#550×C71C2211yescharacteristic, complemented
51#548×C71C2211yescharacteristic
52#548×C71C2211yescharacteristic, complemented
53#547×C71C2211yescharacteristic, complemented
54#546×C71—21no—
55#546×C71—21no—
56#546×C71—21no—
57#546×C71C2211yescharacteristic, complemented
58#546×C71C2211yescharacteristic, complemented
59#546×C71C2211yescharacteristic, complemented
60#546×C71C2211yescharacteristic, complemented
61D42×C71—21no—
62D42×C71—21no—
63D42×C71C2211yescharacteristic
64D42×C71C2211yescharacteristic, complemented
65D42×C71C2211yescharacteristic, complemented
66#542×C71C2211yescharacteristic, complemented
67#540×C71—21no—
68#540×C71C2211yescharacteristic, complemented
69#538×C71—21no—
70#537×C71—21no—
71#537×C71C2211yescharacteristic, complemented
72#537×C71C2211yescharacteristic, complemented
73#535×C71—21no—
74#535×C71—21no—
75#535×C71C2211yescharacteristic, complemented
76#535×C71C2211yescharacteristic, complemented
77#534×C71—21no—
78#525×C71—21no—
79#525×C71C2211yescharacteristic
80#525×C71C2211yescharacteristic, complemented
81C2×#121×C71—21no—
82C2×#121×C71C2211yescharacteristic, complemented
83C2×#121×C71C2211yescharacteristic, complemented
84#520×C71C2211yescharacteristic, complemented
85#496×C71C2211yescharacteristic, complemented
86#496×C71C2211yescharacteristic, complemented
87#495×C71C2211yescharacteristic, complemented
88#493×C71C2211yescharacteristic, complemented
89#490×C71C2211yescharacteristic, complemented
90#489×C71C2211yescharacteristic, complemented
91#488×C71C2211yescharacteristic, complemented
92#486×C71C2211yescharacteristic, complemented
93#485×C71C2211yescharacteristic, complemented
94#484×C71C2211yescharacteristic, complemented
95#484×C71C2211yescharacteristic, complemented
96#482×C71C2211yescharacteristic, complemented
97#482×C71C2211yescharacteristic, complemented
98#482×C71C2211yescharacteristic, complemented
99#481×C71C2211yescharacteristic, complemented
100#480×C71C2211yescharacteristic, complemented
101#480×C71C2211yescharacteristic, complemented
102#480×C71C2211yescharacteristic, complemented
103#480×C71C2211yescharacteristic, complemented
104#480×C71C2211yescharacteristic, complemented
105#479×C71C2211yescharacteristic, complemented
106#478×C71C2211yescharacteristic, complemented
107#477×C71C2211yescharacteristic, complemented
108#474×C71C2211yescharacteristic, complemented
109#469×C71C2211yescharacteristic, complemented
110#468×C71C2211yescharacteristic, complemented
111#468×C71C2211yescharacteristic, complemented
112#468×C71C2211yescharacteristic, complemented
113#467×C71C2211yescharacteristic, complemented
114#466×C71C2211yescharacteristic, complemented
115#466×C71C2211yescharacteristic, complemented
116#466×C71C2211yescharacteristic, complemented
117#466×C71C2211yescharacteristic, complemented
118#466×C71C2211yescharacteristic, complemented
119#466×C71C2211yescharacteristic, complemented
120#466×C71C2211yescharacteristic, complemented
121#466×C71C2211yescharacteristic, complemented
122#465×C71C2211yescharacteristic, complemented
123#465×C71C2211yescharacteristic, complemented
124#465×C71C2211yescharacteristic, complemented
125#464×C71C2211yescharacteristic, complemented
126#464×C71C2211yescharacteristic, complemented
127#463×C71C2211yescharacteristic, complemented
128#463×C71C2211yescharacteristic, complemented
129#463×C71C2211yescharacteristic, complemented
130#463×C71C2211yescharacteristic, complemented
131#460×C71C2211yescharacteristic, complemented
132#460×C71C2211yescharacteristic, complemented
133#459×C71C2211yescharacteristic, complemented
134#459×C71C2211yescharacteristic, complemented
135#459×C71C2211yescharacteristic, complemented
136#459×C71C2211yescharacteristic, complemented
137#452×C71C2211yescharacteristic, complemented
138#452×C71C2211yescharacteristic, complemented
139#452×C71C2211yescharacteristic, complemented
140#452×C71C2211yescharacteristic, complemented
141#451×C71C2211yescharacteristic, complemented
142#450×C71C2211yescharacteristic, complemented
143#450×C71C2211yescharacteristic, complemented
144#450×C71C2211yescharacteristic, complemented
145#450×C71C2211yescharacteristic, complemented
146#449×C71C2211yescharacteristic
147#449×C71C2211yescharacteristic, complemented
148#449×C71C2211yescharacteristic, complemented
149#449×C71C2211yescharacteristic, complemented
150#449×C71C2211yescharacteristic, complemented
151#449×C71C2211yescharacteristic, complemented
152#449×C71C2211yescharacteristic, complemented
153#449×C71C2211yescharacteristic, complemented
154#449×C71C2211yescharacteristic, complemented
155#449×C71C2211yescharacteristic, complemented
156#449×C71C2211yescharacteristic, complemented
157#449×C71C2211yescharacteristic, complemented
158#449×C71C2211yescharacteristic, complemented
159#449×C71C2211yescharacteristic, complemented
160#449×C71C2211yescharacteristic, complemented
161#449×C71C2211yescharacteristic, complemented
162#448×C71C2211yescharacteristic, complemented
163#447×C71C2211yescharacteristic, complemented
164#447×C71C2211yescharacteristic, complemented
165#447×C71C2211yescharacteristic, complemented
166#447×C71C2211yescharacteristic, complemented
167#447×C71C2211yescharacteristic, complemented
168#447×C71C2211yescharacteristic, complemented
169#447×C71C2211yescharacteristic, complemented
170#447×C71C2211yescharacteristic, complemented
171#447×C71C2211yescharacteristic, complemented
172#447×C71C2211yescharacteristic, complemented
173#442×C71C2211yescharacteristic, complemented
174#440×C71C2211yescharacteristic, complemented
175#440×C71C2211yescharacteristic, complemented
176#440×C71C2211yescharacteristic, complemented
177C4×Q16×C71C2211yescharacteristic, complemented
178C4×SD16×C71C2211yescharacteristic, complemented
179C4×D8×C71C2211yescharacteristic, complemented
180C4×D8×C71C2211yescharacteristic, complemented
181#435×C71C2211yescharacteristic, complemented
182#435×C71C2211yescharacteristic, complemented
183#435×C71C2211yescharacteristic, complemented
184#435×C71C2211yescharacteristic, complemented
185C8×D4×C71C2211yescharacteristic, complemented
186C8×D4×C71C2211yescharacteristic, complemented
187C8×D4×C71C2211yescharacteristic, complemented
188C8×D4×C71C2211yescharacteristic, complemented
189#433×C71C2211yescharacteristic, complemented
190#433×C71C2211yescharacteristic, complemented
191#418×C71C2211yescharacteristic, complemented
192#417×C71C2211yescharacteristic, complemented
193#416×C71C2211yescharacteristic, complemented
194#416×C71C2211yescharacteristic, complemented
195#416×C71C2211yescharacteristic, complemented
196C2×#103×C71C2211yescharacteristic, complemented
197C2×#102×C71C2211yescharacteristic, complemented
198C2×#102×C71C2211yescharacteristic, complemented
199#408×C71C2211yescharacteristic, complemented
200#408×C71C2211yescharacteristic, complemented
201C2×C22⋊C8×C71C2211yescharacteristic, complemented
202C2×C22⋊C8×C71C2211yescharacteristic, complemented
203H(5,𝔽2)×C71—42no—
204H(5,𝔽2)×C71—42no—
205C2×#41×C71—21no—
206C2×#41×C71—21no—
207C2×#41×C71—21no—
208C2×#41×C71—21no—
209C2×#41×C71—42no—
210C2×#41×C71—42no—
211C2×#41×C71C2311yescharacteristic
212C2×#41×C71C2311yescharacteristic
213C2×#41×C71C2311yescharacteristic
214C2×#41×C71C2311yescharacteristic
215C2×#41×C71C2311yescharacteristic
216C2×#41×C71C2311yescharacteristic
217C2×#41×C71C2311yescharacteristic
218C2×#41×C71C2311yescharacteristic
219C2×#41×C71C2311yescharacteristic
220C22×Q8×C71C2311yescharacteristic
221C22×D4×C71—21no—
222C22×D4×C71—21no—
223C22×D4×C71—21no—
224C22×D4×C71—21no—
225C22×D4×C71—21no—
226C22×D4×C71—21no—
227C22×D4×C71—21no—
228C22×D4×C71—21no—
229C22×D4×C71—21no—
230C22×D4×C71C2311yescharacteristic
231C22×D4×C71C2311yescharacteristic
232C22×D4×C71C2311yescharacteristic
233C22×D4×C71C2311yescharacteristic
234C22×D4×C71C2311yescharacteristic
235C22×D4×C71C2311yescharacteristic
236C23×C4×C71—21no—
237C23×C4×C71C2311yescharacteristic
238AGL(1,ℤ/8)×C71—42no—
239AGL(1,ℤ/8)×C71—42no—
240#135×C71—42no—
241#135×C71—42no—
242#135×C71—42no—
243C2×Q16×C71C2311yescharacteristic
244C2×Q16×C71C2311yescharacteristic
245C2×SD16×C71—42no—
246C2×SD16×C71C2311yescharacteristic
247C2×SD16×C71C2311yescharacteristic
248C2×SD16×C71C2311yescharacteristic
249C2×SD16×C71C2311yescharacteristic
250C2×SD16×C71C2311yescharacteristic
251C2×SD16×C71C2311yescharacteristic
252C2×SD16×C71C2311yescharacteristic
253C2×SD16×C71C2311yescharacteristic
254C2×SD16×C71C2311yescharacteristic
255C2×SD16×C71C2311yescharacteristic
256C2×D8×C71—42no—
257C2×D8×C71—42no—
258C2×D8×C71C2311yescharacteristic
259C2×D8×C71C2311yescharacteristic
260C2×D8×C71C2311yescharacteristic
261C2×D8×C71C2311yescharacteristic
262C2×D8×C71C2311yescharacteristic
263C2×D8×C71C2311yescharacteristic
264C2×D8×C71C2311yescharacteristic
265C2×D8×C71C2311yescharacteristic
266C2×D8×C71C2311yescharacteristic
267C2×D8×C71C2311yescharacteristic
268C2×D8×C71C2311yescharacteristic
269C2×D8×C71C2311yescharacteristic
270C2×M16×C71C2311yescharacteristic
271C2×M16×C71C2311yescharacteristic
272C22×C8×C71C2311yescharacteristic
273C22×C8×C71C2311yescharacteristic
274C22×C8×C71C2311yescharacteristic
275C22×C8×C71C2311yescharacteristic
276C22×C8×C71C2311yescharacteristic
277C22×C8×C71C2311yescharacteristic
278C4⋊Q8×C71C2311yescharacteristic
279#127×C71—21no—
280#127×C71—21no—
281#127×C71—21no—
282#127×C71—21no—
283#127×C71C2311yescharacteristic
284#127×C71C2311yescharacteristic
285#127×C71C2311yescharacteristic
286#126×C71—21no—
287#126×C71—21no—
288#126×C71—21no—
289#125×C71—21no—
290#125×C71C2311yescharacteristic
291#124×C71—21no—
292#124×C71—21no—
293#124×C71—21no—
294#124×C71—21no—
295#124×C71—21no—
296#124×C71—21no—
297#124×C71C2311yescharacteristic
298#124×C71C2311yescharacteristic
299#124×C71C2311yescharacteristic
300#123×C71—21no—
301#123×C71—21no—
302#123×C71—21no—
303#123×C71—21no—
304#123×C71—21no—
305#123×C71—21no—
306#123×C71—21no—
307#123×C71—21no—
308#123×C71—21no—
309#123×C71—21no—
310#123×C71—21no—
311#123×C71—21no—
312#123×C71D411yescharacteristic
313#123×C71D411yescharacteristic
314C22⋊Q8×C71—21no—
315C22⋊Q8×C71—21no—
316C22⋊Q8×C71—21no—
317C22⋊Q8×C71—21no—
318C22⋊Q8×C71—21no—
319C22⋊Q8×C71—21no—
320C22⋊Q8×C71D411yescharacteristic
321C22⋊Q8×C71D411yescharacteristic
322C22⋊Q8×C71C2311yescharacteristic
323C22⋊Q8×C71C2311yescharacteristic
324C22⋊Q8×C71C2311yescharacteristic
325C22⋊Q8×C71C2311yescharacteristic
326C22⋊Q8×C71C2311yescharacteristic
327#121×C71—21no—
328#121×C71—21no—
329#121×C71—21no—
330#121×C71—21no—
331#121×C71—21no—
332#121×C71—21no—
333#121×C71—21no—
334#121×C71—21no—
335#121×C71—21no—
336#121×C71—21no—
337#121×C71—21no—
338#121×C71—21no—
339#121×C71—21no—
340#121×C71—21no—
341#121×C71—21no—
342#121×C71—21no—
343#121×C71—21no—
344#121×C71—21no—
345#121×C71—21no—
346#121×C71—21no—
347#121×C71—21no—
348#121×C71—21no—
349#121×C71—21no—
350#121×C71—21no—
351#121×C71—21no—
352#121×C71—21no—
353#121×C71—21no—
354#121×C71—21no—
355#121×C71—21no—
356#121×C71—21no—
357#121×C71—21no—
358#121×C71D411yescharacteristic
359#121×C71D411yescharacteristic
360#121×C71C2311yescharacteristic
361#121×C71C2311yescharacteristic
362#121×C71C2311yescharacteristic
363#121×C71C2311yescharacteristic
364#121×C71C2311yescharacteristic
365#121×C71C2311yescharacteristic
366#121×C71C2311yescharacteristic
367#121×C71C2311yescharacteristic
368#121×C71C2311yescharacteristic
369#121×C71C2311yescharacteristic
370#121×C71C2311yescharacteristic
371#121×C71C2311yescharacteristic
372#121×C71C2311yescharacteristic
373#121×C71C2311yescharacteristic
374#121×C71C2311yescharacteristic
375#120×C71—21no—
376#120×C71—21no—
377#120×C71—21no—
378#120×C71—21no—
379#120×C71—21no—
380#120×C71—21no—
381#120×C71—21no—
382#120×C71—21no—
383#120×C71—21no—
384#120×C71—21no—
385#120×C71—21no—
386#120×C71—21no—
387#120×C71—21no—
388#120×C71—21no—
389#120×C71—21no—
390#120×C71D411yescharacteristic
391#120×C71D411yescharacteristic
392C4×Q8×C71C2311yescharacteristic
393C4×Q8×C71C2311yescharacteristic
394C4×Q8×C71C2311yescharacteristic
395C4×D4×C71—21no—
396C4×D4×C71—21no—
397C4×D4×C71—21no—
398C4×D4×C71—21no—
399C4×D4×C71—21no—
400C4×D4×C71—21no—
401C4×D4×C71—21no—
402C4×D4×C71—21no—
403C4×D4×C71—21no—
404C4×D4×C71—21no—
405C4×D4×C71C2311yescharacteristic
406C4×D4×C71C2311yescharacteristic
407C4×D4×C71C2311yescharacteristic
408C4×D4×C71C2311yescharacteristic
409C4×D4×C71C2311yescharacteristic
410C4×D4×C71C2311yescharacteristic
411C4×D4×C71C2311yescharacteristic
412C4×D4×C71C2311yescharacteristic
413C4×D4×C71C2311yescharacteristic
414#117×C71—21no—
415#117×C71—21no—
416#117×C71—21no—
417#117×C71C2311yescharacteristic
418#117×C71C2311yescharacteristic
419#117×C71C2311yescharacteristic
420C2×C4⋊C4×C71—21no—
421C2×C4⋊C4×C71C2311yescharacteristic
422C2×C4⋊C4×C71C2311yescharacteristic
423C2×C4⋊C4×C71C2311yescharacteristic
424C2×C22⋊C4×C71—21no—
425C2×C22⋊C4×C71—21no—
426C2×C22⋊C4×C71—21no—
427C2×C22⋊C4×C71—21no—
428C2×C22⋊C4×C71—21no—
429C2×C22⋊C4×C71—21no—
430#107×C71C2311yescharacteristic
431#107×C71C2311yescharacteristic
432#107×C71C2311yescharacteristic
433#107×C71C2311yescharacteristic
434#107×C71C2311yescharacteristic
435#107×C71C2311yescharacteristic
436#106×C71C2311yescharacteristic
437#106×C71C2311yescharacteristic
438C4⋊C8×C71C2311yescharacteristic
439C4⋊C8×C71C2311yescharacteristic
440C4⋊C8×C71C2311yescharacteristic
441C4⋊C8×C71C2311yescharacteristic
442#103×C71C2311yescharacteristic
443#103×C71C2311yescharacteristic
444#103×C71C2311yescharacteristic
445#103×C71C2311yescharacteristic
446#103×C71C2311yescharacteristic
447#103×C71C2311yescharacteristic
448#103×C71C2311yescharacteristic
449#103×C71C2311yescharacteristic
450#103×C71C2311yescharacteristic
451#103×C71C2311yescharacteristic
452#102×C71C2311yescharacteristic
453#102×C71C2311yescharacteristic
454#102×C71C2311yescharacteristic
455#102×C71C2311yescharacteristic
456#102×C71C2311yescharacteristic
457#102×C71C2311yescharacteristic
458#102×C71C2311yescharacteristic
459#102×C71C2311yescharacteristic
460#102×C71C2311yescharacteristic
461#102×C71C2311yescharacteristic
462#102×C71C2311yescharacteristic
463#102×C71C2311yescharacteristic
464#102×C71C2311yescharacteristic
465#102×C71C2311yescharacteristic
466#102×C71C2311yescharacteristic
467#102×C71C2311yescharacteristic
468#102×C71C2311yescharacteristic
469#102×C71C2311yescharacteristic
470#102×C71C2311yescharacteristic
471#102×C71C2311yescharacteristic
472#102×C71C2311yescharacteristic
473#102×C71C2311yescharacteristic
474C22⋊C8×C71C2311yescharacteristic
475C22⋊C8×C71C2311yescharacteristic
476C22⋊C8×C71C2311yescharacteristic
477C22⋊C8×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480C22⋊C8×C71C2311yescharacteristic
481C22⋊C8×C71C2311yescharacteristic
482C22⋊C8×C71C2311yescharacteristic
483C22⋊C8×C71C2311yescharacteristic
484C22⋊C8×C71C2311yescharacteristic
485C22⋊C8×C71C2311yescharacteristic
486#97×C71C2311yescharacteristic
487#97×C71C2311yescharacteristic
488C4×C8×C71C2311yescharacteristic
489C4×C8×C71C2311yescharacteristic
490C24×C71—21no—
491C24×C71—21no—
492C24×C71—21no—
493C24×C71—21no—
494C24×C71—21no—
495C24×C71—21no—
496C24×C71C2×D411yescharacteristic
497#41×C71—22no—
498#41×C71—22no—
499#41×C71—22no—
500#41×C71—22no—
501#41×C71—22no—
502#41×C71—22no—
503#41×C71—41no—
504#41×C71—41no—
505#41×C71—41no—
506#41×C71—41no—
507#41×C71—41no—
508#41×C71—41no—
509#41×C71—41no—
510#41×C71—41no—
511#41×C71—44no—
512#41×C71—44no—
513#41×C71—41no—
514#41×C71—41no—
515#41×C71—41no—
516#41×C71—41no—
517#41×C71—44no—
518#41×C71—82no—
519C2×Q8×C71—21no—
520C2×Q8×C71—21no—
521C2×Q8×C71—22no—
522C2×Q8×C71—41no—
523C2×Q8×C71C2×D411yescharacteristic
524C2×Q8×C71C2411yescharacteristic
525C2×Q8×C71C2411yescharacteristic
526C2×Q8×C71C2411yescharacteristic
527C2×D4×C71—21no—
528C2×D4×C71—22no—
529C2×D4×C71—22no—
530C2×D4×C71—22no—
531C2×D4×C71—21no—
532C2×D4×C71—21no—
533C2×D4×C71—21no—
534C2×D4×C71—21no—
535C2×D4×C71—21no—
536C2×D4×C71—21no—
537C2×D4×C71—21no—
538C2×D4×C71—21no—
539C2×D4×C71—21no—
540C2×D4×C71—21no—
541C2×D4×C71—21no—
542C2×D4×C71—21no—
543C2×D4×C71—21no—
544C2×D4×C71—21no—
545C2×D4×C71—21no—
546C2×D4×C71—21no—
547C2×D4×C71—21no—
548C2×D4×C71—21no—
549C2×D4×C71—21no—
550C2×D4×C71—21no—
551C2×D4×C71—21no—
552C2×D4×C71—21no—
553C2×D4×C71—21no—
554C2×D4×C71—21no—
555C2×D4×C71—21no—
556C2×D4×C71—21no—
557C2×D4×C71—21no—
558C2×D4×C71—21no—
559C2×D4×C71—21no—
560C2×D4×C71—21no—
561C2×D4×C71—21no—
562C2×D4×C71—21no—
563C2×D4×C71—21no—
564C2×D4×C71—21no—
565C2×D4×C71—41no—
566C2×D4×C71—41no—
567C2×D4×C71—41no—
568C2×D4×C71—41no—
569C2×D4×C71—41no—
570C2×D4×C71—41no—
571C2×D4×C71—41no—
572C2×D4×C71—41no—
573C2×D4×C71—41no—
574C2×D4×C71—44no—
575C2×D4×C71—44no—
576C2×D4×C71—44no—
577C2×D4×C71—44no—
578C2×D4×C71—82no—
579C2×D4×C71—82no—
580C2×D4×C71—82no—
581C2×D4×C71—82no—
582C2×D4×C71—82no—
583C2×D4×C71C2×D411yescharacteristic
584C2×D4×C71C2×D411yescharacteristic
585C2×D4×C71C2×D411yescharacteristic
586C2×D4×C71C2×D411yescharacteristic
587C2×D4×C71C2×D411yescharacteristic
588C2×D4×C71C2×D411yescharacteristic
589C2×D4×C71C2×D411yescharacteristic
590C2×D4×C71C2411yescharacteristic
591C2×D4×C71C2411yescharacteristic
592C2×D4×C71C2411yescharacteristic
593C2×D4×C71C2411yescharacteristic
594C2×D4×C71C2411yescharacteristic
595C2×D4×C71C2411yescharacteristic
596C2×D4×C71C2411yescharacteristic
597C22×C4×C71—21no—
598C22×C4×C71—21no—
599C22×C4×C71—21no—
600C22×C4×C71—21no—
601C22×C4×C71—21no—
602C22×C4×C71—21no—
603C22×C4×C71—21no—
604C22×C4×C71—21no—
605C22×C4×C71—21no—
606C22×C4×C71—21no—
607C22×C4×C71—21no—
608C22×C4×C71—21no—
609C22×C4×C71—21no—
610C22×C4×C71—21no—
611C22×C4×C71—21no—
612C22×C4×C71—21no—
613C22×C4×C71—21no—
614C22×C4×C71—41no—
615C22×C4×C71—41no—
616C22×C4×C71—44no—
617C22×C4×C71C2×D411yescharacteristic
618C22×C4×C71C2×D411yescharacteristic
619C22×C4×C71C2×D411yescharacteristic
620C22×C4×C71C2411yescharacteristic
621C22×C4×C71C2411yescharacteristic
622C22×C4×C71C2411yescharacteristic
623C22×C4×C71C2411yescharacteristic
624C22×C4×C71C2411yescharacteristic
625Q16×C71—22no—
626Q16×C71—41no—
627SD16×C71—22no—
628SD16×C71—22no—
629SD16×C71—22no—
630SD16×C71—22no—
631SD16×C71—41no—
632SD16×C71—41no—
633SD16×C71—41no—
634SD16×C71—41no—
635SD16×C71—41no—
636SD16×C71—41no—
637D8×C71—22no—
638D8×C71—22no—
639D8×C71—22no—
640D8×C71—41no—
641D8×C71—41no—
642D8×C71—41no—
643D8×C71—41no—
644D8×C71—41no—
645D8×C71—41no—
646D8×C71—41no—
647D8×C71—41no—
648D8×C71—41no—
649M16×C71—41no—
650M16×C71—41no—
651C2×C8×C71—41no—
652C2×C8×C71—41no—
653C2×C8×C71—41no—
654C2×C8×C71—41no—
655C2×C8×C71—41no—
656C2×C8×C71—41no—
657C2×C8×C71C2411yescharacteristic
658C2×C8×C71C2411yescharacteristic
659C2×C8×C71C2411yescharacteristic
660C2×C8×C71C2411yescharacteristic
661C2×C8×C71C2411yescharacteristic
662C2×C8×C71C2411yescharacteristic
663C2×C8×C71C2411yescharacteristic
664C2×C8×C71C2411yescharacteristic
665C4⋊C4×C71—21no—
666C4⋊C4×C71—21no—
667C4⋊C4×C71—21no—
668C4⋊C4×C71—21no—
669C4⋊C4×C71—21no—
670C4⋊C4×C71—21no—
671C4⋊C4×C71—21no—
672C4⋊C4×C71—21no—
673C4⋊C4×C71—21no—
674C4⋊C4×C71—21no—
675C4⋊C4×C71—21no—
676C4⋊C4×C71—21no—
677C4⋊C4×C71—21no—
678C4⋊C4×C71—21no—
679C4⋊C4×C71C2×D411yescharacteristic
680C4⋊C4×C71C2×D411yescharacteristic
681C4⋊C4×C71C2×D411yescharacteristic
682C4⋊C4×C71C2×D411yescharacteristic
683C4⋊C4×C71C2×D411yescharacteristic
684C4⋊C4×C71C2×D411yescharacteristic
685C4⋊C4×C71C2411yescharacteristic
686C4⋊C4×C71C2411yescharacteristic
687C4⋊C4×C71C2411yescharacteristic
688C4⋊C4×C71C2411yescharacteristic
689C4⋊C4×C71C2411yescharacteristic
690C4⋊C4×C71C2411yescharacteristic
691C22⋊C4×C71—21no—
692C22⋊C4×C71—21no—
693C22⋊C4×C71—21no—
694C22⋊C4×C71—21no—
695C22⋊C4×C71—21no—
696C22⋊C4×C71—21no—
697C22⋊C4×C71—21no—
698C22⋊C4×C71—21no—
699C22⋊C4×C71—21no—
700C22⋊C4×C71—21no—
701C22⋊C4×C71—21no—
702C22⋊C4×C71—21no—
703C22⋊C4×C71—21no—
704C22⋊C4×C71—21no—
705C22⋊C4×C71—21no—
706C22⋊C4×C71—21no—
707C22⋊C4×C71—21no—
708C22⋊C4×C71—21no—
709C22⋊C4×C71—21no—
710C22⋊C4×C71—21no—
711C22⋊C4×C71—21no—
712C22⋊C4×C71—21no—
713C22⋊C4×C71—21no—
714C22⋊C4×C71—21no—
715C22⋊C4×C71—21no—
716C22⋊C4×C71—21no—
717C22⋊C4×C71—21no—
718C22⋊C4×C71—21no—
719C22⋊C4×C71—21no—
720C22⋊C4×C71—21no—
721C22⋊C4×C71—21no—
722C22⋊C4×C71—21no—
723C22⋊C4×C71—21no—
724C22⋊C4×C71C2×D411yescharacteristic
725C22⋊C4×C71C2×D411yescharacteristic
726C22⋊C4×C71C2×D411yescharacteristic
727C22⋊C4×C71C2×D411yescharacteristic
728C22⋊C4×C71C2×D411yescharacteristic
729C22⋊C4×C71C2×D411yescharacteristic
730C22⋊C4×C71C2×D411yescharacteristic
731C22⋊C4×C71C2×D411yescharacteristic
732C22⋊C4×C71C2×D411yescharacteristic
733C22⋊C4×C71C2×D411yescharacteristic
734C42×C71—21no—
735C42×C71—21no—
736C42×C71—21no—
737C42×C71—21no—
738C42×C71—21no—
739C42×C71C2411yescharacteristic
740C42×C71C2411yescharacteristic
741C23×C71—21no—
742C23×C71—22no—
743C23×C71—21no—
744C23×C71—21no—
745C23×C71—21no—
746C23×C71—21no—
747C23×C71—21no—
748C23×C71—21no—
749C23×C71—41no—
750C23×C71—41no—
751C23×C71—42no—
752C23×C71—42no—
753C23×C71—42no—
754C23×C71—42no—
755C23×C71—42no—
756C23×C71—42no—
757C23×C71—81no—
758C23×C71—81no—
759C23×C71—81no—
760C23×C71—81no—
761C23×C71—81no—
762C23×C71—81no—
763C23×C71—81no—
764C23×C71—81no—
765C23×C71—81no—
766C23×C71—81no—
767C23×C71—81no—
768C23×C71—81no—
769C23×C71C22×D411yescharacteristic
770C23×C71C22×D411yescharacteristic
771C23×C71C22×D411yescharacteristic
772C23×C71C22×D411yescharacteristic
773C23×C71C22×D411yescharacteristic
774Q8×C71—21no—
775Q8×C71—21no—
776Q8×C71—21no—
777Q8×C71—21no—
778Q8×C71—21no—
779Q8×C71—41no—
780Q8×C71—42no—
781Q8×C71—81no—
782Q8×C71H(5,𝔽2)12yes—
783D4×C71—24no—
784D4×C71—22no—
785D4×C71—22no—
786D4×C71—21no—
787D4×C71—21no—
788D4×C71—21no—
789D4×C71—21no—
790D4×C71—21no—
791D4×C71—21no—
792D4×C71—21no—
793D4×C71—21no—
794D4×C71—21no—
795D4×C71—21no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—21no—
799D4×C71—41no—
800D4×C71—41no—
801D4×C71—41no—
802D4×C71—41no—
803D4×C71—41no—
804D4×C71—42no—
805D4×C71—42no—
806D4×C71—42no—
807D4×C71—42no—
808D4×C71—42no—
809D4×C71—42no—
810D4×C71—42no—
811D4×C71—42no—
812D4×C71—42no—
813D4×C71—42no—
814D4×C71—42no—
815D4×C71—42no—
816D4×C71—81no—
817D4×C71—81no—
818D4×C71—81no—
819D4×C71—81no—
820D4×C71—81no—
821D4×C71—81no—
822D4×C71—81no—
823D4×C71—81no—
824D4×C71—81no—
825D4×C71—81no—
826D4×C71—81no—
827D4×C71—81no—
828D4×C71—81no—
829D4×C71—81no—
830D4×C71—81no—
831D4×C71—81no—
832D4×C71—81no—
833D4×C71—81no—
834D4×C71—81no—
835D4×C71—81no—
836D4×C71—81no—
837D4×C71—81no—
838D4×C71H(5,𝔽2)12yes—
839C2×C4×C71—24no—
840C2×C4×C71—21no—
841C2×C4×C71—21no—
842C2×C4×C71—21no—
843C2×C4×C71—21no—
844C2×C4×C71—21no—
845C2×C4×C71—21no—
846C2×C4×C71—21no—
847C2×C4×C71—21no—
848C2×C4×C71—21no—
849C2×C4×C71—21no—
850C2×C4×C71—21no—
851C2×C4×C71—21no—
852C2×C4×C71—21no—
853C2×C4×C71—21no—
854C2×C4×C71—21no—
855C2×C4×C71—21no—
856C2×C4×C71—21no—
857C2×C4×C71—21no—
858C2×C4×C71—21no—
859C2×C4×C71—41no—
860C2×C4×C71—41no—
861C2×C4×C71—41no—
862C2×C4×C71—42no—
863C2×C4×C71—42no—
864C2×C4×C71—42no—
865C2×C4×C71—42no—
866C2×C4×C71—42no—
867C2×C4×C71—42no—
868C2×C4×C71—42no—
869C2×C4×C71—81no—
870C2×C4×C71—81no—
871C2×C4×C71—81no—
872C2×C4×C71—81no—
873C2×C4×C71—81no—
874C2×C4×C71—81no—
875C2×C4×C71—81no—
876C2×C4×C71—81no—
877C2×C4×C71—81no—
878C2×C4×C71C22×D411yescharacteristic
879C2×C4×C71C22×D411yescharacteristic
880C2×C4×C71C22×D411yescharacteristic
881C2×C4×C71C22×D411yescharacteristic
882C2×C4×C71C22×D411yescharacteristic
883C2×C4×C71C22×D411yescharacteristic
884C2×C4×C71C22×D411yescharacteristic
885C2×C4×C71C22×D411yescharacteristic
886C2×C4×C71C22×D411yescharacteristic
887C2×C4×C71C2511yescharacteristic
888C8×C71—21no—
889C8×C71—21no—
890C8×C71—21no—
891C8×C71—21no—
892C8×C71—21no—
893C8×C71—21no—
894C8×C71—21no—
895C8×C71—21no—
896C22×C71—21no—
897C22×C71—21no—
898C22×C71—21no—
899C22×C71—21no—
900C22×C71—21no—
901C22×C71—21no—
902C22×C71—21no—
903C22×C71—22no—
904C22×C71—21no—
905C22×C71—21no—
906C22×C71—21no—
907C22×C71—21no—
908C22×C71—21no—
909C22×C71—21no—
910C22×C71—21no—
911C22×C71—41no—
912C22×C71—41no—
913C22×C71—41no—
914C22×C71—41no—
915C22×C71—41no—
916C22×C71—41no—
917C22×C71—41no—
918C22×C71—41no—
919C22×C71—41no—
920C22×C71—41no—
921C22×C71—41no—
922C22×C71—41no—
923C22×C71—41no—
924C22×C71—41no—
925C22×C71—41no—
926C22×C71—41no—
927C22×C71—41no—
928C22×C71—41no—
929C22×C71—41no—
930C22×C71—41no—
931C22×C71—82no—
932C22×C71—84no—
933C22×C71—162no—
934C22×C71—162no—
935C22×C71—162no—
936C22×C71—162no—
937C22×C71—162no—
938C22×C71#57612yes—
939C22×C71C23×D411yescharacteristic
940C4×C71—21no—
941C4×C71—21no—
942C4×C71—21no—
943C4×C71—22no—
944C4×C71—21no—
945C4×C71—21no—
946C4×C71—21no—
947C4×C71—21no—
948C4×C71—21no—
949C4×C71—21no—
950C4×C71—41no—
951C4×C71—41no—
952C4×C71—41no—
953C4×C71—41no—
954C4×C71—41no—
955C4×C71—41no—
956C4×C71—41no—
957C4×C71—41no—
958C4×C71C2×H(5,𝔽2)11yescharacteristic
959C4×C71C2×H(5,𝔽2)11yescharacteristic
960#61639C7111yesmaximal, characteristic, direct product factor, Sylow
961C2×C71—22no—
962C2×C71—41no—
963C2×C71—41no—
964C2×C71—41no—
965C2×C71—41no—
966C2×C71—42no—
967C2×C71—81no—
968C2×C71—81no—
969C2×C71—81no—
970C2×C71—81no—
971C2×C71—81no—
972C2×C71—81no—
973C2×C71#348411yescharacteristic
974C2×C71C2×#57611yescharacteristic
975C2×C71#358411yescharacteristic
976#3542C2×C7111yescharacteristic, complemented
977#3488C2×C7111yescharacteristic, complemented
978#3319C2×C7111yescharacteristic, complemented
979#3310C2×C7111yescharacteristic, complemented
980#3309C2×C7111yescharacteristic, complemented
981#3308C2×C7111yescharacteristic, complemented
982#3305C2×C7111yescharacteristic, complemented
983#3300C2×C7111yescharacteristic, complemented
984#3297C2×C7111yescharacteristic, complemented
985#3294C2×C7111yescharacteristic, complemented
986#3287C2×C7111yescharacteristic, complemented
987#3282C2×C7111yescharacteristic, complemented
988#3280C2×C7111yescharacteristic, complemented
989D4×D8C2×C7111yescharacteristic, complemented
990#3268C2×C7111yescharacteristic, complemented
991#3268C2×C7111yescharacteristic, complemented
992#3265C2×C7111yescharacteristic, complemented
993#3264C2×C7111yescharacteristic, complemented
994#3224C2×C7111yescharacteristic, complemented
995#3220C2×C7111yescharacteristic, complemented
996#3203C2×C7111yescharacteristic, complemented
997#3198C2×C7111yescharacteristic, complemented
998#3188C2×C7111yescharacteristic, complemented
999#3186C2×C7111yescharacteristic, complemented
1000#3124C2×C7111yescharacteristic, complemented
1001#3119C2×C7111yescharacteristic, complemented
1002#3012C2×C7111yescharacteristic, complemented
1003#3008C2×C7111yescharacteristic, complemented
1004#3002C2×C7111yescharacteristic, complemented
1005C2×#449C2×C7111yescharacteristic, complemented
1006#2977C2×C7111yescharacteristic, complemented
1007C71#6163911yescharacteristic, direct product factor, Sylow
1008C2×H(5,𝔽2)C22×C7111yescharacteristic, complemented
1009C22×#41C22×C7111yescharacteristic, complemented
1010C2×AGL(1,ℤ/8)C22×C7111yescharacteristic, complemented
1011C2×AGL(1,ℤ/8)C22×C7111yescharacteristic, complemented
1012C2×#135C22×C7111yescharacteristic, complemented
1013C2×#135C22×C7111yescharacteristic, complemented
1014C2×#135C22×C7111yescharacteristic, complemented
1015C22×SD16C22×C7111yescharacteristic, complemented
1016C22×D8C22×C7111yescharacteristic, complemented
1017C22×D8C22×C7111yescharacteristic, complemented
1018#562—21no—
1019#560—21no—
1020#555C22×C7111yescharacteristic, complemented
1021#553C22×C7111yescharacteristic, complemented
1022#552C22×C7111yescharacteristic, complemented
1023#551—21no—
1024#550C22×C7111yescharacteristic, complemented
1025#550C22×C7111yescharacteristic, complemented
1026#550C22×C7111yescharacteristic, complemented
1027#548C22×C7111yescharacteristic
1028#548C22×C7111yescharacteristic, complemented
1029#547C22×C7111yescharacteristic, complemented
1030#546—21no—
1031#546—21no—
1032#546—21no—
1033#546C22×C7111yescharacteristic, complemented
1034#546C22×C7111yescharacteristic, complemented
1035#546C22×C7111yescharacteristic, complemented
1036#546C22×C7111yescharacteristic, complemented
1037D42—21no—
1038D42—21no—
1039D42C22×C7111yescharacteristic
1040D42C22×C7111yescharacteristic, complemented
1041D42C22×C7111yescharacteristic, complemented
1042#542C22×C7111yescharacteristic, complemented
1043#540—21no—
1044#540C22×C7111yescharacteristic, complemented
1045#538—21no—
1046#537—21no—
1047#537C22×C7111yescharacteristic, complemented
1048#537C22×C7111yescharacteristic, complemented
1049#535—21no—
1050#535—21no—
1051#535C22×C7111yescharacteristic, complemented
1052#535C22×C7111yescharacteristic, complemented
1053#534—21no—
1054#525—21no—
1055#525C22×C7111yescharacteristic
1056#525C22×C7111yescharacteristic, complemented
1057C2×#121—21no—
1058C2×#121C22×C7111yescharacteristic, complemented
1059C2×#121C22×C7111yescharacteristic, complemented
1060#520C22×C7111yescharacteristic, complemented
1061#496C22×C7111yescharacteristic, complemented
1062#496C22×C7111yescharacteristic, complemented
1063#495C22×C7111yescharacteristic, complemented
1064#493C22×C7111yescharacteristic, complemented
1065#490C22×C7111yescharacteristic, complemented
1066#489C22×C7111yescharacteristic, complemented
1067#488C22×C7111yescharacteristic, complemented
1068#486C22×C7111yescharacteristic, complemented
1069#485C22×C7111yescharacteristic, complemented
1070#484C22×C7111yescharacteristic, complemented
1071#484C22×C7111yescharacteristic, complemented
1072#482C22×C7111yescharacteristic, complemented
1073#482C22×C7111yescharacteristic, complemented
1074#482C22×C7111yescharacteristic, complemented
1075#481C22×C7111yescharacteristic, complemented
1076#480C22×C7111yescharacteristic, complemented
1077#480C22×C7111yescharacteristic, complemented
1078#480C22×C7111yescharacteristic, complemented
1079#480C22×C7111yescharacteristic, complemented
1080#480C22×C7111yescharacteristic, complemented
1081#479C22×C7111yescharacteristic, complemented
1082#478C22×C7111yescharacteristic, complemented
1083#477C22×C7111yescharacteristic, complemented
1084#474C22×C7111yescharacteristic, complemented
1085#469C22×C7111yescharacteristic, complemented
1086#468C22×C7111yescharacteristic, complemented
1087#468C22×C7111yescharacteristic, complemented
1088#468C22×C7111yescharacteristic, complemented
1089#467C22×C7111yescharacteristic, complemented
1090#466C22×C7111yescharacteristic, complemented
1091#466C22×C7111yescharacteristic, complemented
1092#466C22×C7111yescharacteristic, complemented
1093#466C22×C7111yescharacteristic, complemented
1094#466C22×C7111yescharacteristic, complemented
1095#466C22×C7111yescharacteristic, complemented
1096#466C22×C7111yescharacteristic, complemented
1097#466C22×C7111yescharacteristic, complemented
1098#465C22×C7111yescharacteristic, complemented
1099#465C22×C7111yescharacteristic, complemented
1100#465C22×C7111yescharacteristic, complemented
1101#464C22×C7111yescharacteristic, complemented
1102#464C22×C7111yescharacteristic, complemented
1103#463C22×C7111yescharacteristic, complemented
1104#463C22×C7111yescharacteristic, complemented
1105#463C22×C7111yescharacteristic, complemented
1106#463C22×C7111yescharacteristic, complemented
1107#460C22×C7111yescharacteristic, complemented
1108#460C22×C7111yescharacteristic, complemented
1109#459C22×C7111yescharacteristic, complemented
1110#459C22×C7111yescharacteristic, complemented
1111#459C22×C7111yescharacteristic, complemented
1112#459C22×C7111yescharacteristic, complemented
1113#452C22×C7111yescharacteristic, complemented
1114#452C22×C7111yescharacteristic, complemented
1115#452C22×C7111yescharacteristic, complemented
1116#452C22×C7111yescharacteristic, complemented
1117#451C22×C7111yescharacteristic, complemented
1118#450C22×C7111yescharacteristic, complemented
1119#450C22×C7111yescharacteristic, complemented
1120#450C22×C7111yescharacteristic, complemented
1121#450C22×C7111yescharacteristic, complemented
1122#449C22×C7111yescharacteristic
1123#449C22×C7111yescharacteristic, complemented
1124#449C22×C7111yescharacteristic, complemented
1125#449C22×C7111yescharacteristic, complemented
1126#449C22×C7111yescharacteristic, complemented
1127#449C22×C7111yescharacteristic, complemented
1128#449C22×C7111yescharacteristic, complemented
1129#449C22×C7111yescharacteristic, complemented
1130#449C22×C7111yescharacteristic, complemented
1131#449C22×C7111yescharacteristic, complemented
1132#449C22×C7111yescharacteristic, complemented
1133#449C22×C7111yescharacteristic, complemented
1134#449C22×C7111yescharacteristic, complemented
1135#449C22×C7111yescharacteristic, complemented
1136#449C22×C7111yescharacteristic, complemented
1137#449C22×C7111yescharacteristic, complemented
1138#448C22×C7111yescharacteristic, complemented
1139#447C22×C7111yescharacteristic, complemented
1140#447C22×C7111yescharacteristic, complemented
1141#447C22×C7111yescharacteristic, complemented
1142#447C22×C7111yescharacteristic, complemented
1143#447C22×C7111yescharacteristic, complemented
1144#447C22×C7111yescharacteristic, complemented
1145#447C22×C7111yescharacteristic, complemented
1146#447C22×C7111yescharacteristic, complemented
1147#447C22×C7111yescharacteristic, complemented
1148#447C22×C7111yescharacteristic, complemented
1149#442C22×C7111yescharacteristic, complemented
1150#440C22×C7111yescharacteristic, complemented
1151#440C22×C7111yescharacteristic, complemented
1152#440C22×C7111yescharacteristic, complemented
1153C4×Q16C22×C7111yescharacteristic, complemented
1154C4×SD16C22×C7111yescharacteristic, complemented
1155C4×D8C22×C7111yescharacteristic, complemented
1156C4×D8C22×C7111yescharacteristic, complemented
1157#435C22×C7111yescharacteristic, complemented
1158#435C22×C7111yescharacteristic, complemented
1159#435C22×C7111yescharacteristic, complemented
1160#435C22×C7111yescharacteristic, complemented
1161C8×D4C22×C7111yescharacteristic, complemented
1162C8×D4C22×C7111yescharacteristic, complemented
1163C8×D4C22×C7111yescharacteristic, complemented
1164C8×D4C22×C7111yescharacteristic, complemented
1165#433C22×C7111yescharacteristic, complemented
1166#433C22×C7111yescharacteristic, complemented
1167#418C22×C7111yescharacteristic, complemented
1168#417C22×C7111yescharacteristic, complemented
1169#416C22×C7111yescharacteristic, complemented
1170#416C22×C7111yescharacteristic, complemented
1171#416C22×C7111yescharacteristic, complemented
1172C2×#103C22×C7111yescharacteristic, complemented
1173C2×#102C22×C7111yescharacteristic, complemented
1174C2×#102C22×C7111yescharacteristic, complemented
1175#408C22×C7111yescharacteristic, complemented
1176#408C22×C7111yescharacteristic, complemented
1177C2×C22⋊C8C22×C7111yescharacteristic, complemented
1178C2×C22⋊C8C22×C7111yescharacteristic, complemented
1179H(5,𝔽2)—42no—
1180H(5,𝔽2)—42no—
1181C2×#41—21no—
1182C2×#41—21no—
1183C2×#41—21no—
1184C2×#41—21no—
1185C2×#41—42no—
1186C2×#41—42no—
1187C2×#41C23×C7111yescharacteristic
1188C2×#41C23×C7111yescharacteristic
1189C2×#41C23×C7111yescharacteristic
1190C2×#41C23×C7111yescharacteristic
1191C2×#41C23×C7111yescharacteristic
1192C2×#41C23×C7111yescharacteristic
1193C2×#41C23×C7111yescharacteristic
1194C2×#41C23×C7111yescharacteristic
1195C2×#41C23×C7111yescharacteristic
1196C22×Q8C23×C7111yescharacteristic
1197C22×D4—21no—
1198C22×D4—21no—
1199C22×D4—21no—
1200C22×D4—21no—
1201C22×D4—21no—
1202C22×D4—21no—
1203C22×D4—21no—
1204C22×D4—21no—
1205C22×D4—21no—
1206C22×D4C23×C7111yescharacteristic
1207C22×D4C23×C7111yescharacteristic
1208C22×D4C23×C7111yescharacteristic
1209C22×D4C23×C7111yescharacteristic
1210C22×D4C23×C7111yescharacteristic
1211C22×D4C23×C7111yescharacteristic
1212C23×C4—21no—
1213C23×C4C23×C7111yescharacteristic
1214AGL(1,ℤ/8)—42no—
1215AGL(1,ℤ/8)—42no—
1216#135—42no—
1217#135—42no—
1218#135—42no—
1219C2×Q16C23×C7111yescharacteristic
1220C2×Q16C23×C7111yescharacteristic
1221C2×SD16—42no—
1222C2×SD16C23×C7111yescharacteristic
1223C2×SD16C23×C7111yescharacteristic
1224C2×SD16C23×C7111yescharacteristic
1225C2×SD16C23×C7111yescharacteristic
1226C2×SD16C23×C7111yescharacteristic
1227C2×SD16C23×C7111yescharacteristic
1228C2×SD16C23×C7111yescharacteristic
1229C2×SD16C23×C7111yescharacteristic
1230C2×SD16C23×C7111yescharacteristic
1231C2×SD16C23×C7111yescharacteristic
1232C2×D8—42no—
1233C2×D8—42no—
1234C2×D8C23×C7111yescharacteristic
1235C2×D8C23×C7111yescharacteristic
1236C2×D8C23×C7111yescharacteristic
1237C2×D8C23×C7111yescharacteristic
1238C2×D8C23×C7111yescharacteristic
1239C2×D8C23×C7111yescharacteristic
1240C2×D8C23×C7111yescharacteristic
1241C2×D8C23×C7111yescharacteristic
1242C2×D8C23×C7111yescharacteristic
1243C2×D8C23×C7111yescharacteristic
1244C2×D8C23×C7111yescharacteristic
1245C2×D8C23×C7111yescharacteristic
1246C2×M16C23×C7111yescharacteristic
1247C2×M16C23×C7111yescharacteristic
1248C22×C8C23×C7111yescharacteristic
1249C22×C8C23×C7111yescharacteristic
1250C22×C8C23×C7111yescharacteristic
1251C22×C8C23×C7111yescharacteristic
1252C22×C8C23×C7111yescharacteristic
1253C22×C8C23×C7111yescharacteristic
1254C4⋊Q8C23×C7111yescharacteristic
1255#127—21no—
1256#127—21no—
1257#127—21no—
1258#127—21no—
1259#127C23×C7111yescharacteristic
1260#127C23×C7111yescharacteristic
1261#127C23×C7111yescharacteristic
1262#126—21no—
1263#126—21no—
1264#126—21no—
1265#125—21no—
1266#125C23×C7111yescharacteristic
1267#124—21no—
1268#124—21no—
1269#124—21no—
1270#124—21no—
1271#124—21no—
1272#124—21no—
1273#124C23×C7111yescharacteristic
1274#124C23×C7111yescharacteristic
1275#124C23×C7111yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—21no—
1279#123—21no—
1280#123—21no—
1281#123—21no—
1282#123—21no—
1283#123—21no—
1284#123—21no—
1285#123—21no—
1286#123—21no—
1287#123—21no—
1288#123D4×C7111yescharacteristic
1289#123D4×C7111yescharacteristic
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—21no—
1293C22⋊Q8—21no—
1294C22⋊Q8—21no—
1295C22⋊Q8—21no—
1296C22⋊Q8D4×C7111yescharacteristic
1297C22⋊Q8D4×C7111yescharacteristic
1298C22⋊Q8C23×C7111yescharacteristic
1299C22⋊Q8C23×C7111yescharacteristic
1300C22⋊Q8C23×C7111yescharacteristic
1301C22⋊Q8C23×C7111yescharacteristic
1302C22⋊Q8C23×C7111yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—21no—
1320#121—21no—
1321#121—21no—
1322#121—21no—
1323#121—21no—
1324#121—21no—
1325#121—21no—
1326#121—21no—
1327#121—21no—
1328#121—21no—
1329#121—21no—
1330#121—21no—
1331#121—21no—
1332#121—21no—
1333#121—21no—
1334#121D4×C7111yescharacteristic
1335#121D4×C7111yescharacteristic
1336#121C23×C7111yescharacteristic
1337#121C23×C7111yescharacteristic
1338#121C23×C7111yescharacteristic
1339#121C23×C7111yescharacteristic
1340#121C23×C7111yescharacteristic
1341#121C23×C7111yescharacteristic
1342#121C23×C7111yescharacteristic
1343#121C23×C7111yescharacteristic
1344#121C23×C7111yescharacteristic
1345#121C23×C7111yescharacteristic
1346#121C23×C7111yescharacteristic
1347#121C23×C7111yescharacteristic
1348#121C23×C7111yescharacteristic
1349#121C23×C7111yescharacteristic
1350#121C23×C7111yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—21no—
1354#120—21no—
1355#120—21no—
1356#120—21no—
1357#120—21no—
1358#120—21no—
1359#120—21no—
1360#120—21no—
1361#120—21no—
1362#120—21no—
1363#120—21no—
1364#120—21no—
1365#120—21no—
1366#120D4×C7111yescharacteristic
1367#120D4×C7111yescharacteristic
1368C4×Q8C23×C7111yescharacteristic
1369C4×Q8C23×C7111yescharacteristic
1370C4×Q8C23×C7111yescharacteristic
1371C4×D4—21no—
1372C4×D4—21no—
1373C4×D4—21no—
1374C4×D4—21no—
1375C4×D4—21no—
1376C4×D4—21no—
1377C4×D4—21no—
1378C4×D4—21no—
1379C4×D4—21no—
1380C4×D4—21no—
1381C4×D4C23×C7111yescharacteristic
1382C4×D4C23×C7111yescharacteristic
1383C4×D4C23×C7111yescharacteristic
1384C4×D4C23×C7111yescharacteristic
1385C4×D4C23×C7111yescharacteristic
1386C4×D4C23×C7111yescharacteristic
1387C4×D4C23×C7111yescharacteristic
1388C4×D4C23×C7111yescharacteristic
1389C4×D4C23×C7111yescharacteristic
1390#117—21no—
1391#117—21no—
1392#117—21no—
1393#117C23×C7111yescharacteristic
1394#117C23×C7111yescharacteristic
1395#117C23×C7111yescharacteristic
1396C2×C4⋊C4—21no—
1397C2×C4⋊C4C23×C7111yescharacteristic
1398C2×C4⋊C4C23×C7111yescharacteristic
1399C2×C4⋊C4C23×C7111yescharacteristic
1400C2×C22⋊C4—21no—
1401C2×C22⋊C4—21no—
1402C2×C22⋊C4—21no—
1403C2×C22⋊C4—21no—
1404C2×C22⋊C4—21no—
1405C2×C22⋊C4—21no—
1406#107C23×C7111yescharacteristic
1407#107C23×C7111yescharacteristic
1408#107C23×C7111yescharacteristic
1409#107C23×C7111yescharacteristic
1410#107C23×C7111yescharacteristic
1411#107C23×C7111yescharacteristic
1412#106C23×C7111yescharacteristic
1413#106C23×C7111yescharacteristic
1414C4⋊C8C23×C7111yescharacteristic
1415C4⋊C8C23×C7111yescharacteristic
1416C4⋊C8C23×C7111yescharacteristic
1417C4⋊C8C23×C7111yescharacteristic
1418#103C23×C7111yescharacteristic
1419#103C23×C7111yescharacteristic
1420#103C23×C7111yescharacteristic
1421#103C23×C7111yescharacteristic
1422#103C23×C7111yescharacteristic
1423#103C23×C7111yescharacteristic
1424#103C23×C7111yescharacteristic
1425#103C23×C7111yescharacteristic
1426#103C23×C7111yescharacteristic
1427#103C23×C7111yescharacteristic
1428#102C23×C7111yescharacteristic
1429#102C23×C7111yescharacteristic
1430#102C23×C7111yescharacteristic
1431#102C23×C7111yescharacteristic
1432#102C23×C7111yescharacteristic
1433#102C23×C7111yescharacteristic
1434#102C23×C7111yescharacteristic
1435#102C23×C7111yescharacteristic
1436#102C23×C7111yescharacteristic
1437#102C23×C7111yescharacteristic
1438#102C23×C7111yescharacteristic
1439#102C23×C7111yescharacteristic
1440#102C23×C7111yescharacteristic
1441#102C23×C7111yescharacteristic
1442#102C23×C7111yescharacteristic
1443#102C23×C7111yescharacteristic
1444#102C23×C7111yescharacteristic
1445#102C23×C7111yescharacteristic
1446#102C23×C7111yescharacteristic
1447#102C23×C7111yescharacteristic
1448#102C23×C7111yescharacteristic
1449#102C23×C7111yescharacteristic
1450C22⋊C8C23×C7111yescharacteristic
1451C22⋊C8C23×C7111yescharacteristic
1452C22⋊C8C23×C7111yescharacteristic
1453C22⋊C8C23×C7111yescharacteristic
1454C22⋊C8C23×C7111yescharacteristic
1455C22⋊C8C23×C7111yescharacteristic
1456C22⋊C8C23×C7111yescharacteristic
1457C22⋊C8C23×C7111yescharacteristic
1458C22⋊C8C23×C7111yescharacteristic
1459C22⋊C8C23×C7111yescharacteristic
1460C22⋊C8C23×C7111yescharacteristic
1461C22⋊C8C23×C7111yescharacteristic
1462#97C23×C7111yescharacteristic
1463#97C23×C7111yescharacteristic
1464C4×C8C23×C7111yescharacteristic
1465C4×C8C23×C7111yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—21no—
1469C24—21no—
1470C24—21no—
1471C24—21no—
1472C24C2×D4×C7111yescharacteristic
1473#41—22no—
1474#41—22no—
1475#41—22no—
1476#41—22no—
1477#41—22no—
1478#41—22no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—41no—
1484#41—41no—
1485#41—41no—
1486#41—41no—
1487#41—44no—
1488#41—44no—
1489#41—41no—
1490#41—41no—
1491#41—41no—
1492#41—41no—
1493#41—44no—
1494#41—82no—
1495C2×Q8—21no—
1496C2×Q8—21no—
1497C2×Q8—22no—
1498C2×Q8—41no—
1499C2×Q8C2×D4×C7111yescharacteristic
1500C2×Q8C24×C7111yescharacteristic
1501C2×Q8C24×C7111yescharacteristic
1502C2×Q8C24×C7111yescharacteristic
1503C2×D4—21no—
1504C2×D4—22no—
1505C2×D4—22no—
1506C2×D4—22no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—21no—
1529C2×D4—21no—
1530C2×D4—21no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—21no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—41no—
1546C2×D4—41no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—41no—
1550C2×D4—44no—
1551C2×D4—44no—
1552C2×D4—44no—
1553C2×D4—44no—
1554C2×D4—82no—
1555C2×D4—82no—
1556C2×D4—82no—
1557C2×D4—82no—
1558C2×D4—82no—
1559C2×D4C2×D4×C7111yescharacteristic
1560C2×D4C2×D4×C7111yescharacteristic
1561C2×D4C2×D4×C7111yescharacteristic
1562C2×D4C2×D4×C7111yescharacteristic
1563C2×D4C2×D4×C7111yescharacteristic
1564C2×D4C2×D4×C7111yescharacteristic
1565C2×D4C2×D4×C7111yescharacteristic
1566C2×D4C24×C7111yescharacteristic
1567C2×D4C24×C7111yescharacteristic
1568C2×D4C24×C7111yescharacteristic
1569C2×D4C24×C7111yescharacteristic
1570C2×D4C24×C7111yescharacteristic
1571C2×D4C24×C7111yescharacteristic
1572C2×D4C24×C7111yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—21no—
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—21no—
1583C22×C4—21no—
1584C22×C4—21no—
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—21no—
1588C22×C4—21no—
1589C22×C4—21no—
1590C22×C4—41no—
1591C22×C4—41no—
1592C22×C4—44no—
1593C22×C4C2×D4×C7111yescharacteristic
1594C22×C4C2×D4×C7111yescharacteristic
1595C22×C4C2×D4×C7111yescharacteristic
1596C22×C4C24×C7111yescharacteristic
1597C22×C4C24×C7111yescharacteristic
1598C22×C4C24×C7111yescharacteristic
1599C22×C4C24×C7111yescharacteristic
1600C22×C4C24×C7111yescharacteristic
1601Q16—22no—
1602Q16—41no—
1603SD16—22no—
1604SD16—22no—
1605SD16—22no—
1606SD16—22no—
1607SD16—41no—
1608SD16—41no—
1609SD16—41no—
1610SD16—41no—
1611SD16—41no—
1612SD16—41no—
1613D8—22no—
1614D8—22no—
1615D8—22no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—41no—
1620D8—41no—
1621D8—41no—
1622D8—41no—
1623D8—41no—
1624D8—41no—
1625M16—41no—
1626M16—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8—41no—
1633C2×C8C24×C7111yescharacteristic
1634C2×C8C24×C7111yescharacteristic
1635C2×C8C24×C7111yescharacteristic
1636C2×C8C24×C7111yescharacteristic
1637C2×C8C24×C7111yescharacteristic
1638C2×C8C24×C7111yescharacteristic
1639C2×C8C24×C7111yescharacteristic
1640C2×C8C24×C7111yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4C2×D4×C7111yescharacteristic
1656C4⋊C4C2×D4×C7111yescharacteristic
1657C4⋊C4C2×D4×C7111yescharacteristic
1658C4⋊C4C2×D4×C7111yescharacteristic
1659C4⋊C4C2×D4×C7111yescharacteristic
1660C4⋊C4C2×D4×C7111yescharacteristic
1661C4⋊C4C24×C7111yescharacteristic
1662C4⋊C4C24×C7111yescharacteristic
1663C4⋊C4C24×C7111yescharacteristic
1664C4⋊C4C24×C7111yescharacteristic
1665C4⋊C4C24×C7111yescharacteristic
1666C4⋊C4C24×C7111yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—21no—
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—21no—
1699C22⋊C4—21no—
1700C22⋊C4C2×D4×C7111yescharacteristic
1701C22⋊C4C2×D4×C7111yescharacteristic
1702C22⋊C4C2×D4×C7111yescharacteristic
1703C22⋊C4C2×D4×C7111yescharacteristic
1704C22⋊C4C2×D4×C7111yescharacteristic
1705C22⋊C4C2×D4×C7111yescharacteristic
1706C22⋊C4C2×D4×C7111yescharacteristic
1707C22⋊C4C2×D4×C7111yescharacteristic
1708C22⋊C4C2×D4×C7111yescharacteristic
1709C22⋊C4C2×D4×C7111yescharacteristic
1710C42—21no—
1711C42—21no—
1712C42—21no—
1713C42—21no—
1714C42—21no—
1715C42C24×C7111yescharacteristic
1716C42C24×C7111yescharacteristic
1717C23—21no—
1718C23—22no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—41no—
1726C23—41no—
1727C23—42no—
1728C23—42no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—81no—
1736C23—81no—
1737C23—81no—
1738C23—81no—
1739C23—81no—
1740C23—81no—
1741C23—81no—
1742C23—81no—
1743C23—81no—
1744C23—81no—
1745C23C22×D4×C7111yescharacteristic
1746C23C22×D4×C7111yescharacteristic
1747C23C22×D4×C7111yescharacteristic
1748C23C22×D4×C7111yescharacteristic
1749C23C22×D4×C7111yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—42no—
1757Q8—81no—
1758Q8H(5,𝔽2)×C7112yes—
1759D4—24no—
1760D4—22no—
1761D4—22no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—21no—
1772D4—21no—
1773D4—21no—
1774D4—21no—
1775D4—41no—
1776D4—41no—
1777D4—41no—
1778D4—41no—
1779D4—41no—
1780D4—42no—
1781D4—42no—
1782D4—42no—
1783D4—42no—
1784D4—42no—
1785D4—42no—
1786D4—42no—
1787D4—42no—
1788D4—42no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—81no—
1793D4—81no—
1794D4—81no—
1795D4—81no—
1796D4—81no—
1797D4—81no—
1798D4—81no—
1799D4—81no—
1800D4—81no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—81no—
1814D4H(5,𝔽2)×C7112yes—
1815C2×C4—24no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—41no—
1836C2×C4—41no—
1837C2×C4—41no—
1838C2×C4—42no—
1839C2×C4—42no—
1840C2×C4—42no—
1841C2×C4—42no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—42no—
1845C2×C4—81no—
1846C2×C4—81no—
1847C2×C4—81no—
1848C2×C4—81no—
1849C2×C4—81no—
1850C2×C4—81no—
1851C2×C4—81no—
1852C2×C4—81no—
1853C2×C4—81no—
1854C2×C4C22×D4×C7111yescharacteristic
1855C2×C4C22×D4×C7111yescharacteristic
1856C2×C4C22×D4×C7111yescharacteristic
1857C2×C4C22×D4×C7111yescharacteristic
1858C2×C4C22×D4×C7111yescharacteristic
1859C2×C4C22×D4×C7111yescharacteristic
1860C2×C4C22×D4×C7111yescharacteristic
1861C2×C4C22×D4×C7111yescharacteristic
1862C2×C4C22×D4×C7111yescharacteristic
1863C2×C4C25×C7111yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—22no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—41no—
1894C22—41no—
1895C22—41no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—82no—
1908C22—84no—
1909C22—162no—
1910C22—162no—
1911C22—162no—
1912C22—162no—
1913C22—162no—
1914C22#576×C7112yes—
1915C22C23×D4×C7111yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—22no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—21no—
1926C4—41no—
1927C4—41no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4C2×H(5,𝔽2)×C7111yescharacteristic
1935C4C2×H(5,𝔽2)×C7111yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—42no—
1942C2—81no—
1943C2—81no—
1944C2—81no—
1945C2—81no—
1946C2—81no—
1947C2—81no—
1948C2C71×#348411yescharacteristic
1949C2C2×#576×C7111yescharacteristic
1950C2C71×#358411yescharacteristic
subgroupG/H
center, socleC22×C71C23×D4
commutator, Frattini, cosocleC2×C4C25×C71
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C71 ◁ #525×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#3542C2semidirect
2. C71×#3488C2semidirect
3. C71×#3319C2semidirect
4. C71×#3310C2semidirect
5. C71×#3309C2semidirect
6. C71×#3308C2semidirect
7. C71×#3305C2semidirect
8. C71×#3300C2semidirect
9. C71×#3297C2semidirect
10. C71×#3294C2semidirect
11. C71×#3287C2semidirect
12. C71×#3282C2semidirect
13. C71×#3280C2semidirect
14. D4×D8×C71C2semidirect
15. C71×#3268C2semidirect
16. C71×#3268C2semidirect
17. C71×#3265C2semidirect
18. C71×#3264C2semidirect
19. C71×#3224C2semidirect
20. C71×#3220C2semidirect
21. C71×#3203C2semidirect
22. C71×#3198C2semidirect
23. C71×#3188C2semidirect
24. C71×#3186C2semidirect
25. C71×#3124C2semidirect
26. C71×#3119C2semidirect
27. C71×#3012C2semidirect
28. C71×#3008C2semidirect
29. C71×#3002C2semidirect
30. C2×#449×C71C2semidirect
31. C71×#2977C2semidirect
32. C2×H(5,𝔽2)×C71C22semidirect
33. C22×#41×C71C22semidirect
34. C2×AGL(1,ℤ/8)×C71C22semidirect
35. C2×AGL(1,ℤ/8)×C71C22semidirect
36. C2×#135×C71C22semidirect
37. C2×#135×C71C22semidirect
38. C2×#135×C71C22semidirect
39. C22×SD16×C71C22semidirect
40. C22×D8×C71C22semidirect
41. C22×D8×C71C22semidirect
44. #555×C71C22semidirect
45. #553×C71C22semidirect
46. #552×C71C22semidirect
48. #550×C71C22semidirect
49. #550×C71C22semidirect
50. #550×C71C22semidirect
52. #548×C71C22semidirect
53. #547×C71C22semidirect
57. #546×C71C22semidirect
58. #546×C71C22semidirect
59. #546×C71C22semidirect
60. #546×C71C22semidirect
64. D42×C71C22semidirect
65. D42×C71C22semidirect
66. #542×C71C22semidirect
68. #540×C71C22semidirect
71. #537×C71C22semidirect
72. #537×C71C22semidirect
75. #535×C71C22semidirect
76. #535×C71C22semidirect
80. #525×C71C22semidirect
82. C2×#121×C71C22semidirect
83. C2×#121×C71C22semidirect
84. #520×C71C22semidirect
85. #496×C71C22semidirect
86. #496×C71C22semidirect
87. #495×C71C22semidirect
88. #493×C71C22semidirect
89. #490×C71C22semidirect
90. #489×C71C22semidirect
91. #488×C71C22semidirect
92. #486×C71C22semidirect
93. #485×C71C22semidirect
94. #484×C71C22semidirect
95. #484×C71C22semidirect
96. #482×C71C22semidirect
97. #482×C71C22semidirect
98. #482×C71C22semidirect
99. #481×C71C22semidirect
100. #480×C71C22semidirect
101. #480×C71C22semidirect
102. #480×C71C22semidirect
103. #480×C71C22semidirect
104. #480×C71C22semidirect
105. #479×C71C22semidirect
106. #478×C71C22semidirect
107. #477×C71C22semidirect
108. #474×C71C22semidirect
109. #469×C71C22semidirect
110. #468×C71C22semidirect
111. #468×C71C22semidirect
112. #468×C71C22semidirect
113. #467×C71C22semidirect
114. #466×C71C22semidirect
115. #466×C71C22semidirect
116. #466×C71C22semidirect
117. #466×C71C22semidirect
118. #466×C71C22semidirect
119. #466×C71C22semidirect
120. #466×C71C22semidirect
121. #466×C71C22semidirect
122. #465×C71C22semidirect
123. #465×C71C22semidirect
124. #465×C71C22semidirect
125. #464×C71C22semidirect
126. #464×C71C22semidirect
127. #463×C71C22semidirect
128. #463×C71C22semidirect
129. #463×C71C22semidirect
130. #463×C71C22semidirect
131. #460×C71C22semidirect
132. #460×C71C22semidirect
133. #459×C71C22semidirect
134. #459×C71C22semidirect
135. #459×C71C22semidirect
136. #459×C71C22semidirect
137. #452×C71C22semidirect
138. #452×C71C22semidirect
139. #452×C71C22semidirect
140. #452×C71C22semidirect
141. #451×C71C22semidirect
142. #450×C71C22semidirect
143. #450×C71C22semidirect
144. #450×C71C22semidirect
145. #450×C71C22semidirect
147. #449×C71C22semidirect
148. #449×C71C22semidirect
149. #449×C71C22semidirect
150. #449×C71C22semidirect
151. #449×C71C22semidirect
152. #449×C71C22semidirect
153. #449×C71C22semidirect
154. #449×C71C22semidirect
155. #449×C71C22semidirect
156. #449×C71C22semidirect
157. #449×C71C22semidirect
158. #449×C71C22semidirect
159. #449×C71C22semidirect
160. #449×C71C22semidirect
161. #449×C71C22semidirect
162. #448×C71C22semidirect
163. #447×C71C22semidirect
164. #447×C71C22semidirect
165. #447×C71C22semidirect
166. #447×C71C22semidirect
167. #447×C71C22semidirect
168. #447×C71C22semidirect
169. #447×C71C22semidirect
170. #447×C71C22semidirect
171. #447×C71C22semidirect
172. #447×C71C22semidirect
173. #442×C71C22semidirect
174. #440×C71C22semidirect
175. #440×C71C22semidirect
176. #440×C71C22semidirect
177. C4×Q16×C71C22semidirect
178. C4×SD16×C71C22semidirect
179. C4×D8×C71C22semidirect
180. C4×D8×C71C22semidirect
181. #435×C71C22semidirect
182. #435×C71C22semidirect
183. #435×C71C22semidirect
184. #435×C71C22semidirect
185. C8×D4×C71C22semidirect
186. C8×D4×C71C22semidirect
187. C8×D4×C71C22semidirect
188. C8×D4×C71C22semidirect
189. #433×C71C22semidirect
190. #433×C71C22semidirect
191. #418×C71C22semidirect
192. #417×C71C22semidirect
193. #416×C71C22semidirect
194. #416×C71C22semidirect
195. #416×C71C22semidirect
196. C2×#103×C71C22semidirect
197. C2×#102×C71C22semidirect
198. C2×#102×C71C22semidirect
199. #408×C71C22semidirect
200. #408×C71C22semidirect
201. C2×C22⋊C8×C71C22semidirect
202. C2×C22⋊C8×C71C22semidirect
960. #61639C71direct (N × H)
976. #3542C2×C71semidirect
977. #3488C2×C71semidirect
978. #3319C2×C71semidirect
979. #3310C2×C71semidirect
980. #3309C2×C71semidirect
981. #3308C2×C71semidirect
982. #3305C2×C71semidirect
983. #3300C2×C71semidirect
984. #3297C2×C71semidirect
985. #3294C2×C71semidirect
986. #3287C2×C71semidirect
987. #3282C2×C71semidirect
988. #3280C2×C71semidirect
989. D4×D8C2×C71semidirect
990. #3268C2×C71semidirect
991. #3268C2×C71semidirect
992. #3265C2×C71semidirect
993. #3264C2×C71semidirect
994. #3224C2×C71semidirect
995. #3220C2×C71semidirect
996. #3203C2×C71semidirect
997. #3198C2×C71semidirect
998. #3188C2×C71semidirect
999. #3186C2×C71semidirect
1000. #3124C2×C71semidirect
1001. #3119C2×C71semidirect
1002. #3012C2×C71semidirect
1003. #3008C2×C71semidirect
1004. #3002C2×C71semidirect
1005. C2×#449C2×C71semidirect
1006. #2977C2×C71semidirect
1007. C71#61639direct (N × H)
1008. C2×H(5,𝔽2)C22×C71semidirect
1009. C22×#41C22×C71semidirect
1010. C2×AGL(1,ℤ/8)C22×C71semidirect
1011. C2×AGL(1,ℤ/8)C22×C71semidirect
1012. C2×#135C22×C71semidirect
1013. C2×#135C22×C71semidirect
1014. C2×#135C22×C71semidirect
1015. C22×SD16C22×C71semidirect
1016. C22×D8C22×C71semidirect
1017. C22×D8C22×C71semidirect
1020. #555C22×C71semidirect
1021. #553C22×C71semidirect
1022. #552C22×C71semidirect
1024. #550C22×C71semidirect
1025. #550C22×C71semidirect
1026. #550C22×C71semidirect
1028. #548C22×C71semidirect
1029. #547C22×C71semidirect
1033. #546C22×C71semidirect
1034. #546C22×C71semidirect
1035. #546C22×C71semidirect
1036. #546C22×C71semidirect
1040. D42C22×C71semidirect
1041. D42C22×C71semidirect
1042. #542C22×C71semidirect
1044. #540C22×C71semidirect
1047. #537C22×C71semidirect
1048. #537C22×C71semidirect
1051. #535C22×C71semidirect
1052. #535C22×C71semidirect
1056. #525C22×C71semidirect
1058. C2×#121C22×C71semidirect
1059. C2×#121C22×C71semidirect
1060. #520C22×C71semidirect
1061. #496C22×C71semidirect
1062. #496C22×C71semidirect
1063. #495C22×C71semidirect
1064. #493C22×C71semidirect
1065. #490C22×C71semidirect
1066. #489C22×C71semidirect
1067. #488C22×C71semidirect
1068. #486C22×C71semidirect
1069. #485C22×C71semidirect
1070. #484C22×C71semidirect
1071. #484C22×C71semidirect
1072. #482C22×C71semidirect
1073. #482C22×C71semidirect
1074. #482C22×C71semidirect
1075. #481C22×C71semidirect
1076. #480C22×C71semidirect
1077. #480C22×C71semidirect
1078. #480C22×C71semidirect
1079. #480C22×C71semidirect
1080. #480C22×C71semidirect
1081. #479C22×C71semidirect
1082. #478C22×C71semidirect
1083. #477C22×C71semidirect
1084. #474C22×C71semidirect
1085. #469C22×C71semidirect
1086. #468C22×C71semidirect
1087. #468C22×C71semidirect
1088. #468C22×C71semidirect
1089. #467C22×C71semidirect
1090. #466C22×C71semidirect
1091. #466C22×C71semidirect
1092. #466C22×C71semidirect
1093. #466C22×C71semidirect
1094. #466C22×C71semidirect
1095. #466C22×C71semidirect
1096. #466C22×C71semidirect
1097. #466C22×C71semidirect
1098. #465C22×C71semidirect
1099. #465C22×C71semidirect
1100. #465C22×C71semidirect
1101. #464C22×C71semidirect
1102. #464C22×C71semidirect
1103. #463C22×C71semidirect
1104. #463C22×C71semidirect
1105. #463C22×C71semidirect
1106. #463C22×C71semidirect
1107. #460C22×C71semidirect
1108. #460C22×C71semidirect
1109. #459C22×C71semidirect
1110. #459C22×C71semidirect
1111. #459C22×C71semidirect
1112. #459C22×C71semidirect
1113. #452C22×C71semidirect
1114. #452C22×C71semidirect
1115. #452C22×C71semidirect
1116. #452C22×C71semidirect
1117. #451C22×C71semidirect
1118. #450C22×C71semidirect
1119. #450C22×C71semidirect
1120. #450C22×C71semidirect
1121. #450C22×C71semidirect
1123. #449C22×C71semidirect
1124. #449C22×C71semidirect
1125. #449C22×C71semidirect
1126. #449C22×C71semidirect
1127. #449C22×C71semidirect
1128. #449C22×C71semidirect
1129. #449C22×C71semidirect
1130. #449C22×C71semidirect
1131. #449C22×C71semidirect
1132. #449C22×C71semidirect
1133. #449C22×C71semidirect
1134. #449C22×C71semidirect
1135. #449C22×C71semidirect
1136. #449C22×C71semidirect
1137. #449C22×C71semidirect
1138. #448C22×C71semidirect
1139. #447C22×C71semidirect
1140. #447C22×C71semidirect
1141. #447C22×C71semidirect
1142. #447C22×C71semidirect
1143. #447C22×C71semidirect
1144. #447C22×C71semidirect
1145. #447C22×C71semidirect
1146. #447C22×C71semidirect
1147. #447C22×C71semidirect
1148. #447C22×C71semidirect
1149. #442C22×C71semidirect
1150. #440C22×C71semidirect
1151. #440C22×C71semidirect
1152. #440C22×C71semidirect
1153. C4×Q16C22×C71semidirect
1154. C4×SD16C22×C71semidirect
1155. C4×D8C22×C71semidirect
1156. C4×D8C22×C71semidirect
1157. #435C22×C71semidirect
1158. #435C22×C71semidirect
1159. #435C22×C71semidirect
1160. #435C22×C71semidirect
1161. C8×D4C22×C71semidirect
1162. C8×D4C22×C71semidirect
1163. C8×D4C22×C71semidirect
1164. C8×D4C22×C71semidirect
1165. #433C22×C71semidirect
1166. #433C22×C71semidirect
1167. #418C22×C71semidirect
1168. #417C22×C71semidirect
1169. #416C22×C71semidirect
1170. #416C22×C71semidirect
1171. #416C22×C71semidirect
1172. C2×#103C22×C71semidirect
1173. C2×#102C22×C71semidirect
1174. C2×#102C22×C71semidirect
1175. #408C22×C71semidirect
1176. #408C22×C71semidirect
1177. C2×C22⋊C8C22×C71semidirect
1178. C2×C22⋊C8C22×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#35422
C71×#34882
C71×#33192
C71×#33102
C71×#33092
C71×#33082
C71×#33052
C71×#33002
C71×#32972
C71×#32942
C71×#32872
C71×#32822
C71×#32802
D4×D8×C712
C71×#32682
C71×#32652
C71×#32642
C71×#32242
C71×#32202
C71×#32032
C71×#31982
C71×#31882
C71×#31862
C71×#31242
C71×#31192
C71×#30122
C71×#30082
C71×#30022
C2×#449×C712
C71×#29772
#6163971