Finite Group Databasebeta

← C71×#61141 #31882013

Subgroups — C71×#61141 #31882013

Order 18176.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C71×#3475C211yesmaximal, characteristic, complemented
2D4×#41×C71C211yesmaximal, characteristic, complemented
3C71×#3321C211yesmaximal, characteristic, complemented
4C71×#3320C211yesmaximal, characteristic, complemented
5C71×#3319C211yesmaximal, characteristic, complemented
6C71×#3318C211yesmaximal, characteristic, complemented
7C71×#3317C211yesmaximal, characteristic, complemented
8C71×#3316C211yesmaximal, characteristic, complemented
9C71×#3315C211yesmaximal, characteristic, complemented
10C71×#3314C211yesmaximal, characteristic, complemented
11C71×#3313C211yesmaximal, characteristic, complemented
12C71×#3312C211yesmaximal, characteristic, complemented
13C71×#3311C211yesmaximal, characteristic, complemented
14C71×#3310C211yesmaximal, characteristic, complemented
15C71×#3309C211yesmaximal, characteristic, complemented
16C71×#3308C211yesmaximal, characteristic, complemented
17C71×#3307C211yesmaximal, characteristic, complemented
18C71×#3306C211yesmaximal, characteristic, complemented
19C71×#3135C211yesmaximal, characteristic, complemented
20C71×#3091C211yesmaximal, characteristic, complemented
21C71×#3091C211yesmaximal, characteristic, complemented
22C71×#3076C211yesmaximal, characteristic, complemented
23C71×#3054C211yesmaximal, characteristic, complemented
24C71×#3050C211yesmaximal, characteristic, complemented
25C71×#3035C211yesmaximal, characteristic, complemented
26C71×#3002C211yesmaximal, characteristic, complemented
27C71×#3002C211yesmaximal, characteristic, complemented
28C71×#2943C211yesmaximal, characteristic, complemented
29C2×#435×C71C211yesmaximal, characteristic, complemented
30C71×#2896C211yesmaximal, characteristic, complemented
31C2×#416×C71C211yesmaximal, characteristic, complemented
32C22×#41×C71C2211yescharacteristic
33C22×#41×C71C2211yescharacteristic
34C2×#135×C71C2211yescharacteristic
35C2×#135×C71C2211yescharacteristic, complemented
36C2×#135×C71C2211yescharacteristic, complemented
37C22×M16×C71C2211yescharacteristic, complemented
38C23×C8×C71C2211yescharacteristic, complemented
39#556×C71C2211yescharacteristic, complemented
40#555×C71C2211yescharacteristic, complemented
41#554×C71C2211yescharacteristic, complemented
42#553×C71C2211yescharacteristic
43#553×C71C2211yescharacteristic, complemented
44#552×C71—21no—
45#552×C71C2211yescharacteristic
46#552×C71C2211yescharacteristic, complemented
47#551×C71—21no—
48#551×C71—21no—
49#550×C71C2211yescharacteristic
50D4×Q8×C71C2211yescharacteristic
51#548×C71C2211yescharacteristic
52#548×C71C2211yescharacteristic
53#547×C71—21no—
54#547×C71C2211yescharacteristic
55#547×C71C2211yescharacteristic, complemented
56#546×C71—21no—
57#546×C71—21no—
58#546×C71—21no—
59#546×C71C2211yescharacteristic
60#546×C71C2211yescharacteristic
61D42×C71—21no—
62D42×C71C2211yescharacteristic
63#533×C71C2211yescharacteristic, complemented
64#532×C71—21no—
65#532×C71C2211yescharacteristic
66#529×C71—21no—
67#529×C71—21no—
68#529×C71—21no—
69#525×C71—21no—
70#525×C71—21no—
71#525×C71C2211yescharacteristic
72#525×C71C2211yescharacteristic
73#525×C71C2211yescharacteristic, complemented
74#525×C71C2211yescharacteristic, complemented
75C4×#41×C71—21no—
76C4×#41×C71C2211yescharacteristic
77C4×#41×C71C2211yescharacteristic, complemented
78C2×C4×D4×C71—21no—
79C2×C4×D4×C71C2211yescharacteristic
80C2×#117×C71C2211yescharacteristic, complemented
81C2×#117×C71C2211yescharacteristic, complemented
82#491×C71C2211yescharacteristic, complemented
83#491×C71C2211yescharacteristic, complemented
84#490×C71C2211yescharacteristic, complemented
85#490×C71C2211yescharacteristic, complemented
86#489×C71C2211yescharacteristic, complemented
87#489×C71C2211yescharacteristic, complemented
88#489×C71C2211yescharacteristic, complemented
89#489×C71C2211yescharacteristic, complemented
90#485×C71C2211yescharacteristic, complemented
91#485×C71C2211yescharacteristic, complemented
92#485×C71C2211yescharacteristic, complemented
93#485×C71C2211yescharacteristic, complemented
94#484×C71C2211yescharacteristic, complemented
95#484×C71C2211yescharacteristic, complemented
96#483×C71C2211yescharacteristic, complemented
97#483×C71C2211yescharacteristic, complemented
98#482×C71C2211yescharacteristic, complemented
99#482×C71C2211yescharacteristic, complemented
100#482×C71C2211yescharacteristic, complemented
101#482×C71C2211yescharacteristic, complemented
102#481×C71C2211yescharacteristic, complemented
103#481×C71C2211yescharacteristic, complemented
104#480×C71C2211yescharacteristic, complemented
105#480×C71C2211yescharacteristic, complemented
106#479×C71C2211yescharacteristic, complemented
107#479×C71C2211yescharacteristic, complemented
108#478×C71C2211yescharacteristic, complemented
109#478×C71C2211yescharacteristic, complemented
110#477×C71C2211yescharacteristic, complemented
111#476×C71C2211yescharacteristic, complemented
112#475×C71C2211yescharacteristic, complemented
113#474×C71C2211yescharacteristic, complemented
114#470×C71C2211yescharacteristic, complemented
115#470×C71C2211yescharacteristic, complemented
116#469×C71C2211yescharacteristic, complemented
117#469×C71C2211yescharacteristic, complemented
118#468×C71C2211yescharacteristic, complemented
119#468×C71C2211yescharacteristic, complemented
120#468×C71C2211yescharacteristic, complemented
121#468×C71C2211yescharacteristic, complemented
122#467×C71C2211yescharacteristic, complemented
123#467×C71C2211yescharacteristic, complemented
124#466×C71C2211yescharacteristic, complemented
125#466×C71C2211yescharacteristic, complemented
126#465×C71C2211yescharacteristic, complemented
127#465×C71C2211yescharacteristic, complemented
128#465×C71C2211yescharacteristic, complemented
129#465×C71C2211yescharacteristic, complemented
130#464×C71C2211yescharacteristic, complemented
131#464×C71C2211yescharacteristic, complemented
132#463×C71C2211yescharacteristic, complemented
133#463×C71C2211yescharacteristic, complemented
134#462×C71C2211yescharacteristic, complemented
135#461×C71C2211yescharacteristic, complemented
136#460×C71C2211yescharacteristic, complemented
137#459×C71C2211yescharacteristic, complemented
138#452×C71C2211yescharacteristic, complemented
139#452×C71C2211yescharacteristic, complemented
140#452×C71C2211yescharacteristic, complemented
141#452×C71C2211yescharacteristic, complemented
142#451×C71C2211yescharacteristic, complemented
143#451×C71C2211yescharacteristic, complemented
144#450×C71C2211yescharacteristic, complemented
145#450×C71C2211yescharacteristic, complemented
146#449×C71C2211yescharacteristic, complemented
147#449×C71C2211yescharacteristic, complemented
148#449×C71C2211yescharacteristic, complemented
149#449×C71C2211yescharacteristic, complemented
150#448×C71C2211yescharacteristic, complemented
151#448×C71C2211yescharacteristic, complemented
152#447×C71C2211yescharacteristic, complemented
153#447×C71C2211yescharacteristic, complemented
154#442×C71C2211yescharacteristic, complemented
155#442×C71C2211yescharacteristic, complemented
156#441×C71C2211yescharacteristic, complemented
157#441×C71C2211yescharacteristic, complemented
158#440×C71C2211yescharacteristic, complemented
159#440×C71C2211yescharacteristic, complemented
160#440×C71C2211yescharacteristic, complemented
161#440×C71C2211yescharacteristic, complemented
162#435×C71C2211yescharacteristic
163#435×C71C2211yescharacteristic
164#435×C71C2211yescharacteristic, complemented
165#435×C71C2211yescharacteristic, complemented
166#435×C71C2211yescharacteristic, complemented
167#435×C71C2211yescharacteristic, complemented
168#435×C71C2211yescharacteristic, complemented
169#435×C71C2211yescharacteristic, complemented
170#427×C71C2211yescharacteristic, complemented
171#427×C71C2211yescharacteristic, complemented
172#427×C71C2211yescharacteristic, complemented
173C2×C4⋊C8×C71C2211yescharacteristic, complemented
174#419×C71C2211yescharacteristic, complemented
175#419×C71C2211yescharacteristic, complemented
176#418×C71C2211yescharacteristic, complemented
177#418×C71C2211yescharacteristic, complemented
178#417×C71C2211yescharacteristic, complemented
179#417×C71C2211yescharacteristic, complemented
180#417×C71C2211yescharacteristic, complemented
181#417×C71C2211yescharacteristic, complemented
182#416×C71C2211yescharacteristic
183#416×C71C2211yescharacteristic
184#416×C71C2211yescharacteristic
185#416×C71C2211yescharacteristic, complemented
186#416×C71C2211yescharacteristic, complemented
187#416×C71C2211yescharacteristic, complemented
188#416×C71C2211yescharacteristic, complemented
189#416×C71C2211yescharacteristic, complemented
190#416×C71C2211yescharacteristic, complemented
191#416×C71C2211yescharacteristic, complemented
192#416×C71C2211yescharacteristic, complemented
193#416×C71C2211yescharacteristic, complemented
194#416×C71C2211yescharacteristic, complemented
195#416×C71C2211yescharacteristic, complemented
196C2×#103×C71C2211yescharacteristic, complemented
197C2×#103×C71C2211yescharacteristic, complemented
198C2×#102×C71C2211yescharacteristic, complemented
199C2×#102×C71C2211yescharacteristic, complemented
200C2×C22⋊C8×C71C2211yescharacteristic, complemented
201C2×C22⋊C8×C71C2211yescharacteristic, complemented
202C2×#97×C71C2211yescharacteristic, complemented
203C2×#41×C71—21no—
204C2×#41×C71—21no—
205C2×#41×C71—21no—
206C2×#41×C71—21no—
207C2×#41×C71—21no—
208C2×#41×C71—24no—
209C2×#41×C71—24no—
210C2×#41×C71—42no—
211C2×#41×C71—42no—
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×Q8×C71C2311yescharacteristic
222C22×D4×C71—21no—
223C22×D4×C71—21no—
224C22×D4×C71—21no—
225C22×D4×C71D411yescharacteristic
226C22×D4×C71C2311yescharacteristic
227C22×D4×C71C2311yescharacteristic
228C23×C4×C71—21no—
229C23×C4×C71—21no—
230C23×C4×C71C2311yescharacteristic
231C23×C4×C71C2311yescharacteristic
232#135×C71—24no—
233#135×C71—42no—
234#135×C71—42no—
235C2×Q16×C71C2311yescharacteristic
236C2×Q16×C71C2311yescharacteristic
237C2×Q16×C71C2311yescharacteristic
238C2×SD16×C71C2311yescharacteristic
239C2×SD16×C71C2311yescharacteristic
240C2×SD16×C71C2311yescharacteristic
241C2×SD16×C71C2311yescharacteristic
242C2×SD16×C71C2311yescharacteristic
243C2×SD16×C71C2311yescharacteristic
244C2×D8×C71C2311yescharacteristic
245C2×D8×C71C2311yescharacteristic
246C2×D8×C71C2311yescharacteristic
247C2×M16×C71—42no—
248C2×M16×C71C2311yescharacteristic
249C2×M16×C71C2311yescharacteristic
250C2×M16×C71C2311yescharacteristic
251C2×M16×C71C2311yescharacteristic
252C22×C8×C71—42no—
253C22×C8×C71C2311yescharacteristic
254C22×C8×C71C2311yescharacteristic
255C22×C8×C71C2311yescharacteristic
256C22×C8×C71C2311yescharacteristic
257C22×C8×C71C2311yescharacteristic
258C22×C8×C71C2311yescharacteristic
259C22×C8×C71C2311yescharacteristic
260C22×C8×C71C2311yescharacteristic
261C4⋊Q8×C71—21no—
262C4⋊Q8×C71C2311yescharacteristic
263C4⋊Q8×C71C2311yescharacteristic
264C4⋊Q8×C71C2311yescharacteristic
265#127×C71—21no—
266#127×C71C2311yescharacteristic
267#126×C71—21no—
268#126×C71—21no—
269#126×C71—21no—
270#126×C71—21no—
271#126×C71—21no—
272#126×C71—21no—
273#125×C71—21no—
274#125×C71—21no—
275#125×C71—21no—
276#125×C71C2311yescharacteristic
277#125×C71C2311yescharacteristic
278#124×C71—21no—
279#124×C71—21no—
280#124×C71—21no—
281#124×C71—21no—
282#124×C71—21no—
283#124×C71C2311yescharacteristic
284#124×C71C2311yescharacteristic
285#123×C71—21no—
286#123×C71—21no—
287#123×C71—21no—
288#123×C71—21no—
289#123×C71—21no—
290#123×C71—21no—
291#123×C71—21no—
292#123×C71—21no—
293#123×C71—21no—
294#123×C71—21no—
295#123×C71—21no—
296#123×C71—21no—
297#123×C71—21no—
298#123×C71—21no—
299C22⋊Q8×C71—21no—
300C22⋊Q8×C71—21no—
301C22⋊Q8×C71—21no—
302C22⋊Q8×C71—21no—
303C22⋊Q8×C71—21no—
304C22⋊Q8×C71—21no—
305C22⋊Q8×C71—21no—
306C22⋊Q8×C71—21no—
307C22⋊Q8×C71—21no—
308C22⋊Q8×C71C2311yescharacteristic
309C22⋊Q8×C71C2311yescharacteristic
310C22⋊Q8×C71C2311yescharacteristic
311C22⋊Q8×C71C2311yescharacteristic
312C22⋊Q8×C71C2311yescharacteristic
313C22⋊Q8×C71C2311yescharacteristic
314C22⋊Q8×C71C2311yescharacteristic
315C22⋊Q8×C71C2311yescharacteristic
316#121×C71—21no—
317#121×C71—21no—
318#121×C71—21no—
319#121×C71—21no—
320#121×C71—21no—
321#121×C71—21no—
322#121×C71—21no—
323#121×C71—21no—
324#121×C71—21no—
325#121×C71—21no—
326#121×C71—21no—
327#121×C71—21no—
328#121×C71—21no—
329#121×C71C2311yescharacteristic
330#121×C71C2311yescharacteristic
331#121×C71C2311yescharacteristic
332#121×C71C2311yescharacteristic
333#121×C71C2311yescharacteristic
334#121×C71C2311yescharacteristic
335#121×C71C2311yescharacteristic
336#121×C71C2311yescharacteristic
337#120×C71—21no—
338#120×C71—21no—
339#120×C71—21no—
340#120×C71—21no—
341#120×C71—21no—
342#120×C71—21no—
343#120×C71—21no—
344#120×C71—21no—
345C4×Q8×C71—21no—
346C4×Q8×C71—21no—
347C4×Q8×C71—21no—
348C4×Q8×C71C2311yescharacteristic
349C4×Q8×C71C2311yescharacteristic
350C4×Q8×C71C2311yescharacteristic
351C4×Q8×C71C2311yescharacteristic
352C4×D4×C71—21no—
353C4×D4×C71—21no—
354C4×D4×C71—21no—
355C4×D4×C71—21no—
356C4×D4×C71—21no—
357C4×D4×C71—21no—
358C4×D4×C71—21no—
359C4×D4×C71—21no—
360C4×D4×C71—21no—
361C4×D4×C71—21no—
362C4×D4×C71—21no—
363C4×D4×C71—21no—
364C4×D4×C71—21no—
365C4×D4×C71—21no—
366C4×D4×C71—21no—
367C4×D4×C71—21no—
368C4×D4×C71—21no—
369C4×D4×C71—21no—
370C4×D4×C71—21no—
371C4×D4×C71—21no—
372C4×D4×C71—21no—
373C4×D4×C71D411yescharacteristic
374C4×D4×C71D411yescharacteristic
375C4×D4×C71D411yescharacteristic
376C4×D4×C71D411yescharacteristic
377C4×D4×C71C2311yescharacteristic
378C4×D4×C71C2311yescharacteristic
379C4×D4×C71C2311yescharacteristic
380C4×D4×C71C2311yescharacteristic
381C4×D4×C71C2311yescharacteristic
382C4×D4×C71C2311yescharacteristic
383C4×D4×C71C2311yescharacteristic
384C4×D4×C71C2311yescharacteristic
385#117×C71—21no—
386#117×C71—21no—
387#117×C71—21no—
388#117×C71—21no—
389#117×C71—21no—
390#117×C71—21no—
391#117×C71—21no—
392#117×C71—21no—
393#117×C71—21no—
394#117×C71C2311yescharacteristic
395#117×C71C2311yescharacteristic
396#117×C71C2311yescharacteristic
397#117×C71C2311yescharacteristic
398#117×C71C2311yescharacteristic
399#117×C71C2311yescharacteristic
400#117×C71C2311yescharacteristic
401#117×C71C2311yescharacteristic
402C2×C4⋊C4×C71—21no—
403C2×C4⋊C4×C71D411yescharacteristic
404C2×C4⋊C4×C71C2311yescharacteristic
405C2×C4⋊C4×C71C2311yescharacteristic
406C2×C4⋊C4×C71C2311yescharacteristic
407C2×C4⋊C4×C71C2311yescharacteristic
408C2×C22⋊C4×C71—21no—
409C2×C22⋊C4×C71—21no—
410C2×C22⋊C4×C71—21no—
411C2×C22⋊C4×C71—21no—
412C2×C22⋊C4×C71D411yescharacteristic
413C2×C22⋊C4×C71D411yescharacteristic
414C2×C42×C71—21no—
415C2×C42×C71—21no—
416C2×C42×C71—21no—
417C2×C42×C71—21no—
418C2×C42×C71C2311yescharacteristic
419#107×C71C2311yescharacteristic
420#107×C71C2311yescharacteristic
421#107×C71C2311yescharacteristic
422#107×C71C2311yescharacteristic
423#107×C71C2311yescharacteristic
424#107×C71C2311yescharacteristic
425#106×C71C2311yescharacteristic
426#106×C71C2311yescharacteristic
427#106×C71C2311yescharacteristic
428#106×C71C2311yescharacteristic
429#106×C71C2311yescharacteristic
430#106×C71C2311yescharacteristic
431C4⋊C8×C71C2311yescharacteristic
432C4⋊C8×C71C2311yescharacteristic
433C4⋊C8×C71C2311yescharacteristic
434C4⋊C8×C71C2311yescharacteristic
435#103×C71C2311yescharacteristic
436#103×C71C2311yescharacteristic
437#103×C71C2311yescharacteristic
438#103×C71C2311yescharacteristic
439#103×C71C2311yescharacteristic
440#103×C71C2311yescharacteristic
441#103×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#103×C71C2311yescharacteristic
453#103×C71C2311yescharacteristic
454#103×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
474#102×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
483#97×C71C2311yescharacteristic
484#97×C71C2311yescharacteristic
485#97×C71C2311yescharacteristic
486#97×C71C2311yescharacteristic
487C24×C71—21no—
488C24×C71—21no—
489C24×C71C2×D411yescharacteristic
490C24×C71C2×D411yescharacteristic
491#41×C71—22no—
492#41×C71—22no—
493#41×C71—22no—
494#41×C71—22no—
495#41×C71—22no—
496#41×C71—22no—
497#41×C71—22no—
498#41×C71—22no—
499#41×C71—22no—
500#41×C71—22no—
501#41×C71—22no—
502#41×C71—44no—
503#41×C71—44no—
504#41×C71—41no—
505#41×C71—41no—
506#41×C71—41no—
507#41×C71—41no—
508#41×C71—44no—
509#41×C71—44no—
510#41×C71—44no—
511#41×C71#4114yescomplemented
512C2×Q8×C71—21no—
513C2×Q8×C71—21no—
514C2×Q8×C71—21no—
515C2×Q8×C71—21no—
516C2×Q8×C71—22no—
517C2×Q8×C71—22no—
518C2×Q8×C71—41no—
519C2×Q8×C71—41no—
520C2×Q8×C71C2411yescharacteristic
521C2×Q8×C71C2411yescharacteristic
522C2×Q8×C71C2411yescharacteristic
523C2×Q8×C71C2411yescharacteristic
524C2×D4×C71—21no—
525C2×D4×C71—22no—
526C2×D4×C71—22no—
527C2×D4×C71—21no—
528C2×D4×C71—21no—
529C2×D4×C71—21no—
530C2×D4×C71—21no—
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—41no—
547C2×D4×C71—41no—
548C2×D4×C71—42no—
549C2×D4×C71—44no—
550C2×D4×C71—44no—
551C2×D4×C71—44no—
552C2×D4×C71C2×D411yescharacteristic
553C2×D4×C71C2×D411yescharacteristic
554C2×D4×C71C2×D411yescharacteristic
555C2×D4×C71C2×D411yescharacteristic
556C2×D4×C71C2411yescharacteristic
557C2×D4×C71C2411yescharacteristic
558C2×D4×C71C2411yescharacteristic
559C2×D4×C71C2411yescharacteristic
560C22×C4×C71—21no—
561C22×C4×C71—22no—
562C22×C4×C71—22no—
563C22×C4×C71—22no—
564C22×C4×C71—22no—
565C22×C4×C71—21no—
566C22×C4×C71—21no—
567C22×C4×C71—21no—
568C22×C4×C71—21no—
569C22×C4×C71—21no—
570C22×C4×C71—21no—
571C22×C4×C71—21no—
572C22×C4×C71—21no—
573C22×C4×C71—21no—
574C22×C4×C71—21no—
575C22×C4×C71—21no—
576C22×C4×C71—21no—
577C22×C4×C71—21no—
578C22×C4×C71—21no—
579C22×C4×C71—21no—
580C22×C4×C71—21no—
581C22×C4×C71—21no—
582C22×C4×C71—44no—
583C22×C4×C71—44no—
584C22×C4×C71C2×D411yescharacteristic
585C22×C4×C71C2×D411yescharacteristic
586C22×C4×C71C2×D411yescharacteristic
587C22×C4×C71C2×D411yescharacteristic
588C22×C4×C71C2×D411yescharacteristic
589C22×C4×C71C2×D411yescharacteristic
590C22×C4×C71C2×D411yescharacteristic
591C22×C4×C71C2×D411yescharacteristic
592C22×C4×C71C2411yescharacteristic
593C22×C4×C71C2411yescharacteristic
594C22×C4×C71C2411yescharacteristic
595C22×C4×C71C2411yescharacteristic
596C22×C4×C71C2411yescharacteristic
597Q16×C71—22no—
598Q16×C71—41no—
599Q16×C71—41no—
600SD16×C71—22no—
601SD16×C71—22no—
602SD16×C71—41no—
603SD16×C71—41no—
604SD16×C71—41no—
605SD16×C71—41no—
606D8×C71—22no—
607D8×C71—41no—
608D8×C71—41no—
609M16×C71—41no—
610M16×C71—41no—
611M16×C71—41no—
612M16×C71—41no—
613C2×C8×C71—22no—
614C2×C8×C71—22no—
615C2×C8×C71—22no—
616C2×C8×C71—22no—
617C2×C8×C71—41no—
618C2×C8×C71—41no—
619C2×C8×C71—41no—
620C2×C8×C71—41no—
621C2×C8×C71C2411yescharacteristic
622C2×C8×C71C2411yescharacteristic
623C2×C8×C71C2411yescharacteristic
624C2×C8×C71C2411yescharacteristic
625C2×C8×C71C2411yescharacteristic
626C2×C8×C71C2411yescharacteristic
627C2×C8×C71C2411yescharacteristic
628C2×C8×C71C2411yescharacteristic
629C4⋊C4×C71—21no—
630C4⋊C4×C71—21no—
631C4⋊C4×C71—21no—
632C4⋊C4×C71—21no—
633C4⋊C4×C71—21no—
634C4⋊C4×C71—21no—
635C4⋊C4×C71—21no—
636C4⋊C4×C71—21no—
637C4⋊C4×C71—21no—
638C4⋊C4×C71—21no—
639C4⋊C4×C71—21no—
640C4⋊C4×C71—21no—
641C4⋊C4×C71—21no—
642C4⋊C4×C71—21no—
643C4⋊C4×C71—21no—
644C4⋊C4×C71—21no—
645C4⋊C4×C71—21no—
646C4⋊C4×C71—21no—
647C4⋊C4×C71—21no—
648C4⋊C4×C71—21no—
649C4⋊C4×C71—21no—
650C4⋊C4×C71—21no—
651C4⋊C4×C71—21no—
652C4⋊C4×C71—21no—
653C4⋊C4×C71C2×D411yescharacteristic
654C4⋊C4×C71C2×D411yescharacteristic
655C4⋊C4×C71C2×D411yescharacteristic
656C4⋊C4×C71C2×D411yescharacteristic
657C4⋊C4×C71C2411yescharacteristic
658C4⋊C4×C71C2411yescharacteristic
659C4⋊C4×C71C2411yescharacteristic
660C4⋊C4×C71C2411yescharacteristic
661C4⋊C4×C71C2411yescharacteristic
662C4⋊C4×C71C2411yescharacteristic
663C4⋊C4×C71C2411yescharacteristic
664C4⋊C4×C71C2411yescharacteristic
665C22⋊C4×C71—21no—
666C22⋊C4×C71—21no—
667C22⋊C4×C71—21no—
668C22⋊C4×C71—21no—
669C22⋊C4×C71—21no—
670C22⋊C4×C71—21no—
671C22⋊C4×C71—21no—
672C22⋊C4×C71—21no—
673C22⋊C4×C71—21no—
674C22⋊C4×C71—21no—
675C22⋊C4×C71—21no—
676C22⋊C4×C71—21no—
677C22⋊C4×C71—21no—
678C22⋊C4×C71—21no—
679C22⋊C4×C71—21no—
680C22⋊C4×C71—21no—
681C22⋊C4×C71—21no—
682C22⋊C4×C71—21no—
683C22⋊C4×C71—21no—
684C22⋊C4×C71—21no—
685C22⋊C4×C71—21no—
686C22⋊C4×C71—21no—
687C22⋊C4×C71—21no—
688C22⋊C4×C71—21no—
689C22⋊C4×C71—21no—
690C22⋊C4×C71—21no—
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×C71C2×D411yescharacteristic
698C22⋊C4×C71C2×D411yescharacteristic
699C22⋊C4×C71C2×D411yescharacteristic
700C22⋊C4×C71C2×D411yescharacteristic
701C22⋊C4×C71C2×D411yescharacteristic
702C22⋊C4×C71C2×D411yescharacteristic
703C22⋊C4×C71C2×D411yescharacteristic
704C22⋊C4×C71C2×D411yescharacteristic
705C42×C71—21no—
706C42×C71—21no—
707C42×C71—21no—
708C42×C71—21no—
709C42×C71—21no—
710C42×C71—21no—
711C42×C71—21no—
712C42×C71—21no—
713C42×C71—21no—
714C42×C71—21no—
715C42×C71—21no—
716C42×C71—21no—
717C42×C71C2×D411yescharacteristic
718C42×C71C2×D411yescharacteristic
719C42×C71C2411yescharacteristic
720C42×C71C2411yescharacteristic
721C23×C71—22no—
722C23×C71—22no—
723C23×C71—21no—
724C23×C71—22no—
725C23×C71—21no—
726C23×C71—21no—
727C23×C71—21no—
728C23×C71—41no—
729C23×C71—41no—
730C23×C71—41no—
731C23×C71—42no—
732C23×C71—42no—
733C23×C71—42no—
734C23×C71—42no—
735C23×C71—81no—
736C23×C71—81no—
737C23×C71C22×D411yescharacteristic
738C23×C71C22×D411yescharacteristic
739C23×C71C22×D411yescharacteristic
740C23×C71C22×D411yescharacteristic
741C23×C71C22×D411yescharacteristic
742Q8×C71—21no—
743Q8×C71—21no—
744Q8×C71—21no—
745Q8×C71—21no—
746Q8×C71—21no—
747Q8×C71—21no—
748Q8×C71—21no—
749Q8×C71—42no—
750Q8×C71—42no—
751Q8×C71—42no—
752Q8×C71—81no—
753Q8×C71C2×#4112yes—
754D4×C71—24no—
755D4×C71—22no—
756D4×C71—22no—
757D4×C71—21no—
758D4×C71—21no—
759D4×C71—21no—
760D4×C71—21no—
761D4×C71—21no—
762D4×C71—21no—
763D4×C71—21no—
764D4×C71—41no—
765D4×C71—41no—
766D4×C71—42no—
767D4×C71—42no—
768D4×C71—42no—
769D4×C71—42no—
770D4×C71—42no—
771D4×C71—42no—
772D4×C71—42no—
773D4×C71—42no—
774D4×C71—42no—
775D4×C71—42no—
776D4×C71—42no—
777D4×C71—42no—
778D4×C71—42no—
779D4×C71—42no—
780D4×C71—81no—
781D4×C71—81no—
782D4×C71—81no—
783D4×C71—81no—
784D4×C71—81no—
785D4×C71C2×#4112yes—
786C2×C4×C71—22no—
787C2×C4×C71—22no—
788C2×C4×C71—21no—
789C2×C4×C71—22no—
790C2×C4×C71—22no—
791C2×C4×C71—22no—
792C2×C4×C71—22no—
793C2×C4×C71—24no—
794C2×C4×C71—21no—
795C2×C4×C71—21no—
796C2×C4×C71—21no—
797C2×C4×C71—21no—
798C2×C4×C71—21no—
799C2×C4×C71—21no—
800C2×C4×C71—21no—
801C2×C4×C71—21no—
802C2×C4×C71—21no—
803C2×C4×C71—21no—
804C2×C4×C71—21no—
805C2×C4×C71—21no—
806C2×C4×C71—21no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—41no—
814C2×C4×C71—41no—
815C2×C4×C71—42no—
816C2×C4×C71—42no—
817C2×C4×C71—42no—
818C2×C4×C71—42no—
819C2×C4×C71—42no—
820C2×C4×C71—42no—
821C2×C4×C71—42no—
822C2×C4×C71—42no—
823C2×C4×C71—42no—
824C2×C4×C71—42no—
825C2×C4×C71—42no—
826C2×C4×C71—42no—
827C2×C4×C71—42no—
828C2×C4×C71—81no—
829C2×C4×C71—81no—
830C2×C4×C71—81no—
831C2×C4×C71—81no—
832C2×C4×C71C22×D411yescharacteristic
833C2×C4×C71C22×D411yescharacteristic
834C2×C4×C71C22×D411yescharacteristic
835C2×C4×C71C22×D411yescharacteristic
836C2×C4×C71C22×D411yescharacteristic
837C2×C4×C71C22×D411yescharacteristic
838C2×C4×C71C22×D411yescharacteristic
839C2×C4×C71C22×D411yescharacteristic
840C2×C4×C71C22×D411yescharacteristic
841C2×C4×C71C2×#4112yes—
842C2×C4×C71H(5,𝔽2)12yes—
843C2×C4×C71C2511yescharacteristic
844C8×C71—21no—
845C8×C71—21no—
846C8×C71—21no—
847C8×C71—21no—
848C8×C71—21no—
849C8×C71—21no—
850C8×C71—21no—
851C8×C71—21no—
852C22×C71—21no—
853C22×C71—21no—
854C22×C71—21no—
855C22×C71—21no—
856C22×C71—21no—
857C22×C71—21no—
858C22×C71—21no—
859C22×C71—21no—
860C22×C71—21no—
861C22×C71—21no—
862C22×C71—22no—
863C22×C71—21no—
864C22×C71—21no—
865C22×C71—21no—
866C22×C71—44no—
867C22×C71—41no—
868C22×C71—41no—
869C22×C71—41no—
870C22×C71—41no—
871C22×C71—41no—
872C22×C71—41no—
873C22×C71—41no—
874C22×C71—41no—
875C22×C71—41no—
876C22×C71—41no—
877C22×C71—41no—
878C22×C71—82no—
879C22×C71—84no—
880C22×C71—84no—
881C22×C71#54612yes—
882C22×C71#57512yes—
883C22×C71C23×D411yescharacteristic
884C4×C71—21no—
885C4×C71—21no—
886C4×C71—21no—
887C4×C71—21no—
888C4×C71—21no—
889C4×C71—21no—
890C4×C71—22no—
891C4×C71—21no—
892C4×C71—21no—
893C4×C71—41no—
894C4×C71—41no—
895C4×C71—41no—
896C4×C71—41no—
897C4×C71—41no—
898C4×C71—41no—
899C4×C71—41no—
900C4×C71—41no—
901C4×C71—41no—
902C4×C71—41no—
903C4×C71—41no—
904C4×C71#54612yes—
905C4×C71C22×#4111yescharacteristic
906C4×C71C2×H(5,𝔽2)11yescharacteristic
907#61141C7111yesmaximal, characteristic, direct product factor, Sylow
908C2×C71—22no—
909C2×C71—22no—
910C2×C71—41no—
911C2×C71—41no—
912C2×C71—41no—
913C2×C71—42no—
914C2×C71—81no—
915C2×C71—81no—
916C2×C71—81no—
917C2×C71C2×#54611yescharacteristic
918C2×C71C2×#57511yescharacteristic
919C2×C71#358411yescharacteristic
920#3475C2×C7111yescharacteristic, complemented
921D4×#41C2×C7111yescharacteristic, complemented
922#3321C2×C7111yescharacteristic, complemented
923#3320C2×C7111yescharacteristic, complemented
924#3319C2×C7111yescharacteristic, complemented
925#3318C2×C7111yescharacteristic, complemented
926#3317C2×C7111yescharacteristic, complemented
927#3316C2×C7111yescharacteristic, complemented
928#3315C2×C7111yescharacteristic, complemented
929#3314C2×C7111yescharacteristic, complemented
930#3313C2×C7111yescharacteristic, complemented
931#3312C2×C7111yescharacteristic, complemented
932#3311C2×C7111yescharacteristic, complemented
933#3310C2×C7111yescharacteristic, complemented
934#3309C2×C7111yescharacteristic, complemented
935#3308C2×C7111yescharacteristic, complemented
936#3307C2×C7111yescharacteristic, complemented
937#3306C2×C7111yescharacteristic, complemented
938#3135C2×C7111yescharacteristic, complemented
939#3091C2×C7111yescharacteristic, complemented
940#3091C2×C7111yescharacteristic, complemented
941#3076C2×C7111yescharacteristic, complemented
942#3054C2×C7111yescharacteristic, complemented
943#3050C2×C7111yescharacteristic, complemented
944#3035C2×C7111yescharacteristic, complemented
945#3002C2×C7111yescharacteristic, complemented
946#3002C2×C7111yescharacteristic, complemented
947#2943C2×C7111yescharacteristic, complemented
948C2×#435C2×C7111yescharacteristic, complemented
949#2896C2×C7111yescharacteristic, complemented
950C2×#416C2×C7111yescharacteristic, complemented
951C71#6114111yescharacteristic, direct product factor, Sylow
952C22×#41C22×C7111yescharacteristic
953C22×#41C22×C7111yescharacteristic
954C2×#135C22×C7111yescharacteristic
955C2×#135C22×C7111yescharacteristic, complemented
956C2×#135C22×C7111yescharacteristic, complemented
957C22×M16C22×C7111yescharacteristic, complemented
958C23×C8C22×C7111yescharacteristic, complemented
959#556C22×C7111yescharacteristic, complemented
960#555C22×C7111yescharacteristic, complemented
961#554C22×C7111yescharacteristic, complemented
962#553C22×C7111yescharacteristic
963#553C22×C7111yescharacteristic, complemented
964#552—21no—
965#552C22×C7111yescharacteristic
966#552C22×C7111yescharacteristic, complemented
967#551—21no—
968#551—21no—
969#550C22×C7111yescharacteristic
970D4×Q8C22×C7111yescharacteristic
971#548C22×C7111yescharacteristic
972#548C22×C7111yescharacteristic
973#547—21no—
974#547C22×C7111yescharacteristic
975#547C22×C7111yescharacteristic, complemented
976#546—21no—
977#546—21no—
978#546—21no—
979#546C22×C7111yescharacteristic
980#546C22×C7111yescharacteristic
981D42—21no—
982D42C22×C7111yescharacteristic
983#533C22×C7111yescharacteristic, complemented
984#532—21no—
985#532C22×C7111yescharacteristic
986#529—21no—
987#529—21no—
988#529—21no—
989#525—21no—
990#525—21no—
991#525C22×C7111yescharacteristic
992#525C22×C7111yescharacteristic
993#525C22×C7111yescharacteristic, complemented
994#525C22×C7111yescharacteristic, complemented
995C4×#41—21no—
996C4×#41C22×C7111yescharacteristic
997C4×#41C22×C7111yescharacteristic, complemented
998C2×C4×D4—21no—
999C2×C4×D4C22×C7111yescharacteristic
1000C2×#117C22×C7111yescharacteristic, complemented
1001C2×#117C22×C7111yescharacteristic, complemented
1002#491C22×C7111yescharacteristic, complemented
1003#491C22×C7111yescharacteristic, complemented
1004#490C22×C7111yescharacteristic, complemented
1005#490C22×C7111yescharacteristic, complemented
1006#489C22×C7111yescharacteristic, complemented
1007#489C22×C7111yescharacteristic, complemented
1008#489C22×C7111yescharacteristic, complemented
1009#489C22×C7111yescharacteristic, complemented
1010#485C22×C7111yescharacteristic, complemented
1011#485C22×C7111yescharacteristic, complemented
1012#485C22×C7111yescharacteristic, complemented
1013#485C22×C7111yescharacteristic, complemented
1014#484C22×C7111yescharacteristic, complemented
1015#484C22×C7111yescharacteristic, complemented
1016#483C22×C7111yescharacteristic, complemented
1017#483C22×C7111yescharacteristic, complemented
1018#482C22×C7111yescharacteristic, complemented
1019#482C22×C7111yescharacteristic, complemented
1020#482C22×C7111yescharacteristic, complemented
1021#482C22×C7111yescharacteristic, complemented
1022#481C22×C7111yescharacteristic, complemented
1023#481C22×C7111yescharacteristic, complemented
1024#480C22×C7111yescharacteristic, complemented
1025#480C22×C7111yescharacteristic, complemented
1026#479C22×C7111yescharacteristic, complemented
1027#479C22×C7111yescharacteristic, complemented
1028#478C22×C7111yescharacteristic, complemented
1029#478C22×C7111yescharacteristic, complemented
1030#477C22×C7111yescharacteristic, complemented
1031#476C22×C7111yescharacteristic, complemented
1032#475C22×C7111yescharacteristic, complemented
1033#474C22×C7111yescharacteristic, complemented
1034#470C22×C7111yescharacteristic, complemented
1035#470C22×C7111yescharacteristic, complemented
1036#469C22×C7111yescharacteristic, complemented
1037#469C22×C7111yescharacteristic, complemented
1038#468C22×C7111yescharacteristic, complemented
1039#468C22×C7111yescharacteristic, complemented
1040#468C22×C7111yescharacteristic, complemented
1041#468C22×C7111yescharacteristic, complemented
1042#467C22×C7111yescharacteristic, complemented
1043#467C22×C7111yescharacteristic, complemented
1044#466C22×C7111yescharacteristic, complemented
1045#466C22×C7111yescharacteristic, complemented
1046#465C22×C7111yescharacteristic, complemented
1047#465C22×C7111yescharacteristic, complemented
1048#465C22×C7111yescharacteristic, complemented
1049#465C22×C7111yescharacteristic, complemented
1050#464C22×C7111yescharacteristic, complemented
1051#464C22×C7111yescharacteristic, complemented
1052#463C22×C7111yescharacteristic, complemented
1053#463C22×C7111yescharacteristic, complemented
1054#462C22×C7111yescharacteristic, complemented
1055#461C22×C7111yescharacteristic, complemented
1056#460C22×C7111yescharacteristic, complemented
1057#459C22×C7111yescharacteristic, complemented
1058#452C22×C7111yescharacteristic, complemented
1059#452C22×C7111yescharacteristic, complemented
1060#452C22×C7111yescharacteristic, complemented
1061#452C22×C7111yescharacteristic, complemented
1062#451C22×C7111yescharacteristic, complemented
1063#451C22×C7111yescharacteristic, complemented
1064#450C22×C7111yescharacteristic, complemented
1065#450C22×C7111yescharacteristic, complemented
1066#449C22×C7111yescharacteristic, complemented
1067#449C22×C7111yescharacteristic, complemented
1068#449C22×C7111yescharacteristic, complemented
1069#449C22×C7111yescharacteristic, complemented
1070#448C22×C7111yescharacteristic, complemented
1071#448C22×C7111yescharacteristic, complemented
1072#447C22×C7111yescharacteristic, complemented
1073#447C22×C7111yescharacteristic, complemented
1074#442C22×C7111yescharacteristic, complemented
1075#442C22×C7111yescharacteristic, complemented
1076#441C22×C7111yescharacteristic, complemented
1077#441C22×C7111yescharacteristic, complemented
1078#440C22×C7111yescharacteristic, complemented
1079#440C22×C7111yescharacteristic, complemented
1080#440C22×C7111yescharacteristic, complemented
1081#440C22×C7111yescharacteristic, complemented
1082#435C22×C7111yescharacteristic
1083#435C22×C7111yescharacteristic
1084#435C22×C7111yescharacteristic, complemented
1085#435C22×C7111yescharacteristic, complemented
1086#435C22×C7111yescharacteristic, complemented
1087#435C22×C7111yescharacteristic, complemented
1088#435C22×C7111yescharacteristic, complemented
1089#435C22×C7111yescharacteristic, complemented
1090#427C22×C7111yescharacteristic, complemented
1091#427C22×C7111yescharacteristic, complemented
1092#427C22×C7111yescharacteristic, complemented
1093C2×C4⋊C8C22×C7111yescharacteristic, complemented
1094#419C22×C7111yescharacteristic, complemented
1095#419C22×C7111yescharacteristic, complemented
1096#418C22×C7111yescharacteristic, complemented
1097#418C22×C7111yescharacteristic, complemented
1098#417C22×C7111yescharacteristic, complemented
1099#417C22×C7111yescharacteristic, complemented
1100#417C22×C7111yescharacteristic, complemented
1101#417C22×C7111yescharacteristic, complemented
1102#416C22×C7111yescharacteristic
1103#416C22×C7111yescharacteristic
1104#416C22×C7111yescharacteristic
1105#416C22×C7111yescharacteristic, complemented
1106#416C22×C7111yescharacteristic, complemented
1107#416C22×C7111yescharacteristic, complemented
1108#416C22×C7111yescharacteristic, complemented
1109#416C22×C7111yescharacteristic, complemented
1110#416C22×C7111yescharacteristic, complemented
1111#416C22×C7111yescharacteristic, complemented
1112#416C22×C7111yescharacteristic, complemented
1113#416C22×C7111yescharacteristic, complemented
1114#416C22×C7111yescharacteristic, complemented
1115#416C22×C7111yescharacteristic, complemented
1116C2×#103C22×C7111yescharacteristic, complemented
1117C2×#103C22×C7111yescharacteristic, complemented
1118C2×#102C22×C7111yescharacteristic, complemented
1119C2×#102C22×C7111yescharacteristic, complemented
1120C2×C22⋊C8C22×C7111yescharacteristic, complemented
1121C2×C22⋊C8C22×C7111yescharacteristic, complemented
1122C2×#97C22×C7111yescharacteristic, complemented
1123C2×#41—21no—
1124C2×#41—21no—
1125C2×#41—21no—
1126C2×#41—21no—
1127C2×#41—21no—
1128C2×#41—24no—
1129C2×#41—24no—
1130C2×#41—42no—
1131C2×#41—42no—
1132C2×#41C23×C7111yescharacteristic
1133C2×#41C23×C7111yescharacteristic
1134C2×#41C23×C7111yescharacteristic
1135C2×#41C23×C7111yescharacteristic
1136C2×#41C23×C7111yescharacteristic
1137C2×#41C23×C7111yescharacteristic
1138C2×#41C23×C7111yescharacteristic
1139C2×#41C23×C7111yescharacteristic
1140C22×Q8C23×C7111yescharacteristic
1141C22×Q8C23×C7111yescharacteristic
1142C22×D4—21no—
1143C22×D4—21no—
1144C22×D4—21no—
1145C22×D4D4×C7111yescharacteristic
1146C22×D4C23×C7111yescharacteristic
1147C22×D4C23×C7111yescharacteristic
1148C23×C4—21no—
1149C23×C4—21no—
1150C23×C4C23×C7111yescharacteristic
1151C23×C4C23×C7111yescharacteristic
1152#135—24no—
1153#135—42no—
1154#135—42no—
1155C2×Q16C23×C7111yescharacteristic
1156C2×Q16C23×C7111yescharacteristic
1157C2×Q16C23×C7111yescharacteristic
1158C2×SD16C23×C7111yescharacteristic
1159C2×SD16C23×C7111yescharacteristic
1160C2×SD16C23×C7111yescharacteristic
1161C2×SD16C23×C7111yescharacteristic
1162C2×SD16C23×C7111yescharacteristic
1163C2×SD16C23×C7111yescharacteristic
1164C2×D8C23×C7111yescharacteristic
1165C2×D8C23×C7111yescharacteristic
1166C2×D8C23×C7111yescharacteristic
1167C2×M16—42no—
1168C2×M16C23×C7111yescharacteristic
1169C2×M16C23×C7111yescharacteristic
1170C2×M16C23×C7111yescharacteristic
1171C2×M16C23×C7111yescharacteristic
1172C22×C8—42no—
1173C22×C8C23×C7111yescharacteristic
1174C22×C8C23×C7111yescharacteristic
1175C22×C8C23×C7111yescharacteristic
1176C22×C8C23×C7111yescharacteristic
1177C22×C8C23×C7111yescharacteristic
1178C22×C8C23×C7111yescharacteristic
1179C22×C8C23×C7111yescharacteristic
1180C22×C8C23×C7111yescharacteristic
1181C4⋊Q8—21no—
1182C4⋊Q8C23×C7111yescharacteristic
1183C4⋊Q8C23×C7111yescharacteristic
1184C4⋊Q8C23×C7111yescharacteristic
1185#127—21no—
1186#127C23×C7111yescharacteristic
1187#126—21no—
1188#126—21no—
1189#126—21no—
1190#126—21no—
1191#126—21no—
1192#126—21no—
1193#125—21no—
1194#125—21no—
1195#125—21no—
1196#125C23×C7111yescharacteristic
1197#125C23×C7111yescharacteristic
1198#124—21no—
1199#124—21no—
1200#124—21no—
1201#124—21no—
1202#124—21no—
1203#124C23×C7111yescharacteristic
1204#124C23×C7111yescharacteristic
1205#123—21no—
1206#123—21no—
1207#123—21no—
1208#123—21no—
1209#123—21no—
1210#123—21no—
1211#123—21no—
1212#123—21no—
1213#123—21no—
1214#123—21no—
1215#123—21no—
1216#123—21no—
1217#123—21no—
1218#123—21no—
1219C22⋊Q8—21no—
1220C22⋊Q8—21no—
1221C22⋊Q8—21no—
1222C22⋊Q8—21no—
1223C22⋊Q8—21no—
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8—21no—
1227C22⋊Q8—21no—
1228C22⋊Q8C23×C7111yescharacteristic
1229C22⋊Q8C23×C7111yescharacteristic
1230C22⋊Q8C23×C7111yescharacteristic
1231C22⋊Q8C23×C7111yescharacteristic
1232C22⋊Q8C23×C7111yescharacteristic
1233C22⋊Q8C23×C7111yescharacteristic
1234C22⋊Q8C23×C7111yescharacteristic
1235C22⋊Q8C23×C7111yescharacteristic
1236#121—21no—
1237#121—21no—
1238#121—21no—
1239#121—21no—
1240#121—21no—
1241#121—21no—
1242#121—21no—
1243#121—21no—
1244#121—21no—
1245#121—21no—
1246#121—21no—
1247#121—21no—
1248#121—21no—
1249#121C23×C7111yescharacteristic
1250#121C23×C7111yescharacteristic
1251#121C23×C7111yescharacteristic
1252#121C23×C7111yescharacteristic
1253#121C23×C7111yescharacteristic
1254#121C23×C7111yescharacteristic
1255#121C23×C7111yescharacteristic
1256#121C23×C7111yescharacteristic
1257#120—21no—
1258#120—21no—
1259#120—21no—
1260#120—21no—
1261#120—21no—
1262#120—21no—
1263#120—21no—
1264#120—21no—
1265C4×Q8—21no—
1266C4×Q8—21no—
1267C4×Q8—21no—
1268C4×Q8C23×C7111yescharacteristic
1269C4×Q8C23×C7111yescharacteristic
1270C4×Q8C23×C7111yescharacteristic
1271C4×Q8C23×C7111yescharacteristic
1272C4×D4—21no—
1273C4×D4—21no—
1274C4×D4—21no—
1275C4×D4—21no—
1276C4×D4—21no—
1277C4×D4—21no—
1278C4×D4—21no—
1279C4×D4—21no—
1280C4×D4—21no—
1281C4×D4—21no—
1282C4×D4—21no—
1283C4×D4—21no—
1284C4×D4—21no—
1285C4×D4—21no—
1286C4×D4—21no—
1287C4×D4—21no—
1288C4×D4—21no—
1289C4×D4—21no—
1290C4×D4—21no—
1291C4×D4—21no—
1292C4×D4—21no—
1293C4×D4D4×C7111yescharacteristic
1294C4×D4D4×C7111yescharacteristic
1295C4×D4D4×C7111yescharacteristic
1296C4×D4D4×C7111yescharacteristic
1297C4×D4C23×C7111yescharacteristic
1298C4×D4C23×C7111yescharacteristic
1299C4×D4C23×C7111yescharacteristic
1300C4×D4C23×C7111yescharacteristic
1301C4×D4C23×C7111yescharacteristic
1302C4×D4C23×C7111yescharacteristic
1303C4×D4C23×C7111yescharacteristic
1304C4×D4C23×C7111yescharacteristic
1305#117—21no—
1306#117—21no—
1307#117—21no—
1308#117—21no—
1309#117—21no—
1310#117—21no—
1311#117—21no—
1312#117—21no—
1313#117—21no—
1314#117C23×C7111yescharacteristic
1315#117C23×C7111yescharacteristic
1316#117C23×C7111yescharacteristic
1317#117C23×C7111yescharacteristic
1318#117C23×C7111yescharacteristic
1319#117C23×C7111yescharacteristic
1320#117C23×C7111yescharacteristic
1321#117C23×C7111yescharacteristic
1322C2×C4⋊C4—21no—
1323C2×C4⋊C4D4×C7111yescharacteristic
1324C2×C4⋊C4C23×C7111yescharacteristic
1325C2×C4⋊C4C23×C7111yescharacteristic
1326C2×C4⋊C4C23×C7111yescharacteristic
1327C2×C4⋊C4C23×C7111yescharacteristic
1328C2×C22⋊C4—21no—
1329C2×C22⋊C4—21no—
1330C2×C22⋊C4—21no—
1331C2×C22⋊C4—21no—
1332C2×C22⋊C4D4×C7111yescharacteristic
1333C2×C22⋊C4D4×C7111yescharacteristic
1334C2×C42—21no—
1335C2×C42—21no—
1336C2×C42—21no—
1337C2×C42—21no—
1338C2×C42C23×C7111yescharacteristic
1339#107C23×C7111yescharacteristic
1340#107C23×C7111yescharacteristic
1341#107C23×C7111yescharacteristic
1342#107C23×C7111yescharacteristic
1343#107C23×C7111yescharacteristic
1344#107C23×C7111yescharacteristic
1345#106C23×C7111yescharacteristic
1346#106C23×C7111yescharacteristic
1347#106C23×C7111yescharacteristic
1348#106C23×C7111yescharacteristic
1349#106C23×C7111yescharacteristic
1350#106C23×C7111yescharacteristic
1351C4⋊C8C23×C7111yescharacteristic
1352C4⋊C8C23×C7111yescharacteristic
1353C4⋊C8C23×C7111yescharacteristic
1354C4⋊C8C23×C7111yescharacteristic
1355#103C23×C7111yescharacteristic
1356#103C23×C7111yescharacteristic
1357#103C23×C7111yescharacteristic
1358#103C23×C7111yescharacteristic
1359#103C23×C7111yescharacteristic
1360#103C23×C7111yescharacteristic
1361#103C23×C7111yescharacteristic
1362#103C23×C7111yescharacteristic
1363#103C23×C7111yescharacteristic
1364#103C23×C7111yescharacteristic
1365#103C23×C7111yescharacteristic
1366#103C23×C7111yescharacteristic
1367#103C23×C7111yescharacteristic
1368#103C23×C7111yescharacteristic
1369#103C23×C7111yescharacteristic
1370#103C23×C7111yescharacteristic
1371#103C23×C7111yescharacteristic
1372#103C23×C7111yescharacteristic
1373#103C23×C7111yescharacteristic
1374#103C23×C7111yescharacteristic
1375#102C23×C7111yescharacteristic
1376#102C23×C7111yescharacteristic
1377#102C23×C7111yescharacteristic
1378#102C23×C7111yescharacteristic
1379#102C23×C7111yescharacteristic
1380#102C23×C7111yescharacteristic
1381#102C23×C7111yescharacteristic
1382#102C23×C7111yescharacteristic
1383#102C23×C7111yescharacteristic
1384#102C23×C7111yescharacteristic
1385#102C23×C7111yescharacteristic
1386#102C23×C7111yescharacteristic
1387#102C23×C7111yescharacteristic
1388#102C23×C7111yescharacteristic
1389#102C23×C7111yescharacteristic
1390#102C23×C7111yescharacteristic
1391#102C23×C7111yescharacteristic
1392#102C23×C7111yescharacteristic
1393#102C23×C7111yescharacteristic
1394#102C23×C7111yescharacteristic
1395C22⋊C8C23×C7111yescharacteristic
1396C22⋊C8C23×C7111yescharacteristic
1397C22⋊C8C23×C7111yescharacteristic
1398C22⋊C8C23×C7111yescharacteristic
1399C22⋊C8C23×C7111yescharacteristic
1400C22⋊C8C23×C7111yescharacteristic
1401C22⋊C8C23×C7111yescharacteristic
1402C22⋊C8C23×C7111yescharacteristic
1403#97C23×C7111yescharacteristic
1404#97C23×C7111yescharacteristic
1405#97C23×C7111yescharacteristic
1406#97C23×C7111yescharacteristic
1407C24—21no—
1408C24—21no—
1409C24C2×D4×C7111yescharacteristic
1410C24C2×D4×C7111yescharacteristic
1411#41—22no—
1412#41—22no—
1413#41—22no—
1414#41—22no—
1415#41—22no—
1416#41—22no—
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—22no—
1422#41—44no—
1423#41—44no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—44no—
1429#41—44no—
1430#41—44no—
1431#41#41×C7114yescomplemented
1432C2×Q8—21no—
1433C2×Q8—21no—
1434C2×Q8—21no—
1435C2×Q8—21no—
1436C2×Q8—22no—
1437C2×Q8—22no—
1438C2×Q8—41no—
1439C2×Q8—41no—
1440C2×Q8C24×C7111yescharacteristic
1441C2×Q8C24×C7111yescharacteristic
1442C2×Q8C24×C7111yescharacteristic
1443C2×Q8C24×C7111yescharacteristic
1444C2×D4—21no—
1445C2×D4—22no—
1446C2×D4—22no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—21no—
1451C2×D4—21no—
1452C2×D4—21no—
1453C2×D4—21no—
1454C2×D4—21no—
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—41no—
1467C2×D4—41no—
1468C2×D4—42no—
1469C2×D4—44no—
1470C2×D4—44no—
1471C2×D4—44no—
1472C2×D4C2×D4×C7111yescharacteristic
1473C2×D4C2×D4×C7111yescharacteristic
1474C2×D4C2×D4×C7111yescharacteristic
1475C2×D4C2×D4×C7111yescharacteristic
1476C2×D4C24×C7111yescharacteristic
1477C2×D4C24×C7111yescharacteristic
1478C2×D4C24×C7111yescharacteristic
1479C2×D4C24×C7111yescharacteristic
1480C22×C4—21no—
1481C22×C4—22no—
1482C22×C4—22no—
1483C22×C4—22no—
1484C22×C4—22no—
1485C22×C4—21no—
1486C22×C4—21no—
1487C22×C4—21no—
1488C22×C4—21no—
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4C2×D4×C7111yescharacteristic
1505C22×C4C2×D4×C7111yescharacteristic
1506C22×C4C2×D4×C7111yescharacteristic
1507C22×C4C2×D4×C7111yescharacteristic
1508C22×C4C2×D4×C7111yescharacteristic
1509C22×C4C2×D4×C7111yescharacteristic
1510C22×C4C2×D4×C7111yescharacteristic
1511C22×C4C2×D4×C7111yescharacteristic
1512C22×C4C24×C7111yescharacteristic
1513C22×C4C24×C7111yescharacteristic
1514C22×C4C24×C7111yescharacteristic
1515C22×C4C24×C7111yescharacteristic
1516C22×C4C24×C7111yescharacteristic
1517Q16—22no—
1518Q16—41no—
1519Q16—41no—
1520SD16—22no—
1521SD16—22no—
1522SD16—41no—
1523SD16—41no—
1524SD16—41no—
1525SD16—41no—
1526D8—22no—
1527D8—41no—
1528D8—41no—
1529M16—41no—
1530M16—41no—
1531M16—41no—
1532M16—41no—
1533C2×C8—22no—
1534C2×C8—22no—
1535C2×C8—22no—
1536C2×C8—22no—
1537C2×C8—41no—
1538C2×C8—41no—
1539C2×C8—41no—
1540C2×C8—41no—
1541C2×C8C24×C7111yescharacteristic
1542C2×C8C24×C7111yescharacteristic
1543C2×C8C24×C7111yescharacteristic
1544C2×C8C24×C7111yescharacteristic
1545C2×C8C24×C7111yescharacteristic
1546C2×C8C24×C7111yescharacteristic
1547C2×C8C24×C7111yescharacteristic
1548C2×C8C24×C7111yescharacteristic
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—21no—
1559C4⋊C4—21no—
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4C2×D4×C7111yescharacteristic
1574C4⋊C4C2×D4×C7111yescharacteristic
1575C4⋊C4C2×D4×C7111yescharacteristic
1576C4⋊C4C2×D4×C7111yescharacteristic
1577C4⋊C4C24×C7111yescharacteristic
1578C4⋊C4C24×C7111yescharacteristic
1579C4⋊C4C24×C7111yescharacteristic
1580C4⋊C4C24×C7111yescharacteristic
1581C4⋊C4C24×C7111yescharacteristic
1582C4⋊C4C24×C7111yescharacteristic
1583C4⋊C4C24×C7111yescharacteristic
1584C4⋊C4C24×C7111yescharacteristic
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—21no—
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4C2×D4×C7111yescharacteristic
1618C22⋊C4C2×D4×C7111yescharacteristic
1619C22⋊C4C2×D4×C7111yescharacteristic
1620C22⋊C4C2×D4×C7111yescharacteristic
1621C22⋊C4C2×D4×C7111yescharacteristic
1622C22⋊C4C2×D4×C7111yescharacteristic
1623C22⋊C4C2×D4×C7111yescharacteristic
1624C22⋊C4C2×D4×C7111yescharacteristic
1625C42—21no—
1626C42—21no—
1627C42—21no—
1628C42—21no—
1629C42—21no—
1630C42—21no—
1631C42—21no—
1632C42—21no—
1633C42—21no—
1634C42—21no—
1635C42—21no—
1636C42—21no—
1637C42C2×D4×C7111yescharacteristic
1638C42C2×D4×C7111yescharacteristic
1639C42C24×C7111yescharacteristic
1640C42C24×C7111yescharacteristic
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—22no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—41no—
1649C23—41no—
1650C23—41no—
1651C23—42no—
1652C23—42no—
1653C23—42no—
1654C23—42no—
1655C23—81no—
1656C23—81no—
1657C23C22×D4×C7111yescharacteristic
1658C23C22×D4×C7111yescharacteristic
1659C23C22×D4×C7111yescharacteristic
1660C23C22×D4×C7111yescharacteristic
1661C23C22×D4×C7111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—21no—
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—42no—
1670Q8—42no—
1671Q8—42no—
1672Q8—81no—
1673Q8C2×#41×C7112yes—
1674D4—24no—
1675D4—22no—
1676D4—22no—
1677D4—21no—
1678D4—21no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—21no—
1683D4—21no—
1684D4—41no—
1685D4—41no—
1686D4—42no—
1687D4—42no—
1688D4—42no—
1689D4—42no—
1690D4—42no—
1691D4—42no—
1692D4—42no—
1693D4—42no—
1694D4—42no—
1695D4—42no—
1696D4—42no—
1697D4—42no—
1698D4—42no—
1699D4—42no—
1700D4—81no—
1701D4—81no—
1702D4—81no—
1703D4—81no—
1704D4—81no—
1705D4C2×#41×C7112yes—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—41no—
1734C2×C4—41no—
1735C2×C4—42no—
1736C2×C4—42no—
1737C2×C4—42no—
1738C2×C4—42no—
1739C2×C4—42no—
1740C2×C4—42no—
1741C2×C4—42no—
1742C2×C4—42no—
1743C2×C4—42no—
1744C2×C4—42no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—81no—
1751C2×C4—81no—
1752C2×C4C22×D4×C7111yescharacteristic
1753C2×C4C22×D4×C7111yescharacteristic
1754C2×C4C22×D4×C7111yescharacteristic
1755C2×C4C22×D4×C7111yescharacteristic
1756C2×C4C22×D4×C7111yescharacteristic
1757C2×C4C22×D4×C7111yescharacteristic
1758C2×C4C22×D4×C7111yescharacteristic
1759C2×C4C22×D4×C7111yescharacteristic
1760C2×C4C22×D4×C7111yescharacteristic
1761C2×C4C2×#41×C7112yes—
1762C2×C4H(5,𝔽2)×C7112yes—
1763C2×C4C25×C7111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—21no—
1770C8—21no—
1771C8—21no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—21no—
1781C22—21no—
1782C22—21no—
1783C22—21no—
1784C22—21no—
1785C22—22no—
1786C22—44no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—82no—
1799C22—84no—
1800C22—84no—
1801C22#546×C7112yes—
1802C22#575×C7112yes—
1803C22C23×D4×C7111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—21no—
1811C4—21no—
1812C4—22no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—41no—
1817C4—41no—
1818C4—41no—
1819C4—41no—
1820C4—41no—
1821C4—41no—
1822C4—41no—
1823C4—41no—
1824C4#546×C7112yes—
1825C4C22×#41×C7111yescharacteristic
1826C4C2×H(5,𝔽2)×C7111yescharacteristic
1827C2—22no—
1828C2—22no—
1829C2—41no—
1830C2—41no—
1831C2—41no—
1832C2—42no—
1833C2—81no—
1834C2—81no—
1835C2—81no—
1836C2C2×#546×C7111yescharacteristic
1837C2C2×#575×C7111yescharacteristic
1838C2C71×#358411yescharacteristic
subgroupG/H
centerC2×C4×C71C22×D4
commutator, Frattini, cosocleC2×C4C25×C71
socleC22×C71C23×D4
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C4×C71 ◁ C2×C4×D4×C71 ◁ G

Complements

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

NH ≅ G/Ntype
1. C71×#3475C2semidirect
2. D4×#41×C71C2semidirect
3. C71×#3321C2semidirect
4. C71×#3320C2semidirect
5. C71×#3319C2semidirect
6. C71×#3318C2semidirect
7. C71×#3317C2semidirect
8. C71×#3316C2semidirect
9. C71×#3315C2semidirect
10. C71×#3314C2semidirect
11. C71×#3313C2semidirect
12. C71×#3312C2semidirect
13. C71×#3311C2semidirect
14. C71×#3310C2semidirect
15. C71×#3309C2semidirect
16. C71×#3308C2semidirect
17. C71×#3307C2semidirect
18. C71×#3306C2semidirect
19. C71×#3135C2semidirect
20. C71×#3091C2semidirect
21. C71×#3091C2semidirect
22. C71×#3076C2semidirect
23. C71×#3054C2semidirect
24. C71×#3050C2semidirect
25. C71×#3035C2semidirect
26. C71×#3002C2semidirect
27. C71×#3002C2semidirect
28. C71×#2943C2semidirect
29. C2×#435×C71C2semidirect
30. C71×#2896C2semidirect
31. C2×#416×C71C2semidirect
35. C2×#135×C71C22semidirect
36. C2×#135×C71C22semidirect
37. C22×M16×C71C22semidirect
38. C23×C8×C71C22semidirect
39. #556×C71C22semidirect
40. #555×C71C22semidirect
41. #554×C71C22semidirect
43. #553×C71C22semidirect
46. #552×C71C22semidirect
55. #547×C71C22semidirect
63. #533×C71C22semidirect
73. #525×C71C22semidirect
74. #525×C71C22semidirect
77. C4×#41×C71C22semidirect
80. C2×#117×C71C22semidirect
81. C2×#117×C71C22semidirect
82. #491×C71C22semidirect
83. #491×C71C22semidirect
84. #490×C71C22semidirect
85. #490×C71C22semidirect
86. #489×C71C22semidirect
87. #489×C71C22semidirect
88. #489×C71C22semidirect
89. #489×C71C22semidirect
90. #485×C71C22semidirect
91. #485×C71C22semidirect
92. #485×C71C22semidirect
93. #485×C71C22semidirect
94. #484×C71C22semidirect
95. #484×C71C22semidirect
96. #483×C71C22semidirect
97. #483×C71C22semidirect
98. #482×C71C22semidirect
99. #482×C71C22semidirect
100. #482×C71C22semidirect
101. #482×C71C22semidirect
102. #481×C71C22semidirect
103. #481×C71C22semidirect
104. #480×C71C22semidirect
105. #480×C71C22semidirect
106. #479×C71C22semidirect
107. #479×C71C22semidirect
108. #478×C71C22semidirect
109. #478×C71C22semidirect
110. #477×C71C22semidirect
111. #476×C71C22semidirect
112. #475×C71C22semidirect
113. #474×C71C22semidirect
114. #470×C71C22semidirect
115. #470×C71C22semidirect
116. #469×C71C22semidirect
117. #469×C71C22semidirect
118. #468×C71C22semidirect
119. #468×C71C22semidirect
120. #468×C71C22semidirect
121. #468×C71C22semidirect
122. #467×C71C22semidirect
123. #467×C71C22semidirect
124. #466×C71C22semidirect
125. #466×C71C22semidirect
126. #465×C71C22semidirect
127. #465×C71C22semidirect
128. #465×C71C22semidirect
129. #465×C71C22semidirect
130. #464×C71C22semidirect
131. #464×C71C22semidirect
132. #463×C71C22semidirect
133. #463×C71C22semidirect
134. #462×C71C22semidirect
135. #461×C71C22semidirect
136. #460×C71C22semidirect
137. #459×C71C22semidirect
138. #452×C71C22semidirect
139. #452×C71C22semidirect
140. #452×C71C22semidirect
141. #452×C71C22semidirect
142. #451×C71C22semidirect
143. #451×C71C22semidirect
144. #450×C71C22semidirect
145. #450×C71C22semidirect
146. #449×C71C22semidirect
147. #449×C71C22semidirect
148. #449×C71C22semidirect
149. #449×C71C22semidirect
150. #448×C71C22semidirect
151. #448×C71C22semidirect
152. #447×C71C22semidirect
153. #447×C71C22semidirect
154. #442×C71C22semidirect
155. #442×C71C22semidirect
156. #441×C71C22semidirect
157. #441×C71C22semidirect
158. #440×C71C22semidirect
159. #440×C71C22semidirect
160. #440×C71C22semidirect
161. #440×C71C22semidirect
164. #435×C71C22semidirect
165. #435×C71C22semidirect
166. #435×C71C22semidirect
167. #435×C71C22semidirect
168. #435×C71C22semidirect
169. #435×C71C22semidirect
170. #427×C71C22semidirect
171. #427×C71C22semidirect
172. #427×C71C22semidirect
173. C2×C4⋊C8×C71C22semidirect
174. #419×C71C22semidirect
175. #419×C71C22semidirect
176. #418×C71C22semidirect
177. #418×C71C22semidirect
178. #417×C71C22semidirect
179. #417×C71C22semidirect
180. #417×C71C22semidirect
181. #417×C71C22semidirect
185. #416×C71C22semidirect
186. #416×C71C22semidirect
187. #416×C71C22semidirect
188. #416×C71C22semidirect
189. #416×C71C22semidirect
190. #416×C71C22semidirect
191. #416×C71C22semidirect
192. #416×C71C22semidirect
193. #416×C71C22semidirect
194. #416×C71C22semidirect
195. #416×C71C22semidirect
196. C2×#103×C71C22semidirect
197. C2×#103×C71C22semidirect
198. C2×#102×C71C22semidirect
199. C2×#102×C71C22semidirect
200. C2×C22⋊C8×C71C22semidirect
201. C2×C22⋊C8×C71C22semidirect
202. C2×#97×C71C22semidirect
511. #41×C71#41semidirect
907. #61141C71direct (N × H)
920. #3475C2×C71semidirect
921. D4×#41C2×C71semidirect
922. #3321C2×C71semidirect
923. #3320C2×C71semidirect
924. #3319C2×C71semidirect
925. #3318C2×C71semidirect
926. #3317C2×C71semidirect
927. #3316C2×C71semidirect
928. #3315C2×C71semidirect
929. #3314C2×C71semidirect
930. #3313C2×C71semidirect
931. #3312C2×C71semidirect
932. #3311C2×C71semidirect
933. #3310C2×C71semidirect
934. #3309C2×C71semidirect
935. #3308C2×C71semidirect
936. #3307C2×C71semidirect
937. #3306C2×C71semidirect
938. #3135C2×C71semidirect
939. #3091C2×C71semidirect
940. #3091C2×C71semidirect
941. #3076C2×C71semidirect
942. #3054C2×C71semidirect
943. #3050C2×C71semidirect
944. #3035C2×C71semidirect
945. #3002C2×C71semidirect
946. #3002C2×C71semidirect
947. #2943C2×C71semidirect
948. C2×#435C2×C71semidirect
949. #2896C2×C71semidirect
950. C2×#416C2×C71semidirect
951. C71#61141direct (N × H)
955. C2×#135C22×C71semidirect
956. C2×#135C22×C71semidirect
957. C22×M16C22×C71semidirect
958. C23×C8C22×C71semidirect
959. #556C22×C71semidirect
960. #555C22×C71semidirect
961. #554C22×C71semidirect
963. #553C22×C71semidirect
966. #552C22×C71semidirect
975. #547C22×C71semidirect
983. #533C22×C71semidirect
993. #525C22×C71semidirect
994. #525C22×C71semidirect
997. C4×#41C22×C71semidirect
1000. C2×#117C22×C71semidirect
1001. C2×#117C22×C71semidirect
1002. #491C22×C71semidirect
1003. #491C22×C71semidirect
1004. #490C22×C71semidirect
1005. #490C22×C71semidirect
1006. #489C22×C71semidirect
1007. #489C22×C71semidirect
1008. #489C22×C71semidirect
1009. #489C22×C71semidirect
1010. #485C22×C71semidirect
1011. #485C22×C71semidirect
1012. #485C22×C71semidirect
1013. #485C22×C71semidirect
1014. #484C22×C71semidirect
1015. #484C22×C71semidirect
1016. #483C22×C71semidirect
1017. #483C22×C71semidirect
1018. #482C22×C71semidirect
1019. #482C22×C71semidirect
1020. #482C22×C71semidirect
1021. #482C22×C71semidirect
1022. #481C22×C71semidirect
1023. #481C22×C71semidirect
1024. #480C22×C71semidirect
1025. #480C22×C71semidirect
1026. #479C22×C71semidirect
1027. #479C22×C71semidirect
1028. #478C22×C71semidirect
1029. #478C22×C71semidirect
1030. #477C22×C71semidirect
1031. #476C22×C71semidirect
1032. #475C22×C71semidirect
1033. #474C22×C71semidirect
1034. #470C22×C71semidirect
1035. #470C22×C71semidirect
1036. #469C22×C71semidirect
1037. #469C22×C71semidirect
1038. #468C22×C71semidirect
1039. #468C22×C71semidirect
1040. #468C22×C71semidirect
1041. #468C22×C71semidirect
1042. #467C22×C71semidirect
1043. #467C22×C71semidirect
1044. #466C22×C71semidirect
1045. #466C22×C71semidirect
1046. #465C22×C71semidirect
1047. #465C22×C71semidirect
1048. #465C22×C71semidirect
1049. #465C22×C71semidirect
1050. #464C22×C71semidirect
1051. #464C22×C71semidirect
1052. #463C22×C71semidirect
1053. #463C22×C71semidirect
1054. #462C22×C71semidirect
1055. #461C22×C71semidirect
1056. #460C22×C71semidirect
1057. #459C22×C71semidirect
1058. #452C22×C71semidirect
1059. #452C22×C71semidirect
1060. #452C22×C71semidirect
1061. #452C22×C71semidirect
1062. #451C22×C71semidirect
1063. #451C22×C71semidirect
1064. #450C22×C71semidirect
1065. #450C22×C71semidirect
1066. #449C22×C71semidirect
1067. #449C22×C71semidirect
1068. #449C22×C71semidirect
1069. #449C22×C71semidirect
1070. #448C22×C71semidirect
1071. #448C22×C71semidirect
1072. #447C22×C71semidirect
1073. #447C22×C71semidirect
1074. #442C22×C71semidirect
1075. #442C22×C71semidirect
1076. #441C22×C71semidirect
1077. #441C22×C71semidirect
1078. #440C22×C71semidirect
1079. #440C22×C71semidirect
1080. #440C22×C71semidirect
1081. #440C22×C71semidirect
1084. #435C22×C71semidirect
1085. #435C22×C71semidirect
1086. #435C22×C71semidirect
1087. #435C22×C71semidirect
1088. #435C22×C71semidirect
1089. #435C22×C71semidirect
1090. #427C22×C71semidirect
1091. #427C22×C71semidirect
1092. #427C22×C71semidirect
1093. C2×C4⋊C8C22×C71semidirect
1094. #419C22×C71semidirect
1095. #419C22×C71semidirect
1096. #418C22×C71semidirect
1097. #418C22×C71semidirect
1098. #417C22×C71semidirect
1099. #417C22×C71semidirect
1100. #417C22×C71semidirect
1101. #417C22×C71semidirect
1105. #416C22×C71semidirect
1106. #416C22×C71semidirect
1107. #416C22×C71semidirect
1108. #416C22×C71semidirect
1109. #416C22×C71semidirect
1110. #416C22×C71semidirect
1111. #416C22×C71semidirect
1112. #416C22×C71semidirect
1113. #416C22×C71semidirect
1114. #416C22×C71semidirect
1115. #416C22×C71semidirect
1116. C2×#103C22×C71semidirect
1117. C2×#103C22×C71semidirect
1118. C2×#102C22×C71semidirect
1119. C2×#102C22×C71semidirect
1120. C2×C22⋊C8C22×C71semidirect
1121. C2×C22⋊C8C22×C71semidirect
1122. C2×#97C22×C71semidirect
1431. #41#41×C71semidirect

Maximal subgroups

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

subgroupindex
C71×#34752
D4×#41×C712
C71×#33212
C71×#33202
C71×#33192
C71×#33182
C71×#33172
C71×#33162
C71×#33152
C71×#33142
C71×#33132
C71×#33122
C71×#33112
C71×#33102
C71×#33092
C71×#33082
C71×#33072
C71×#33062
C71×#31352
C71×#30912
C71×#30762
C71×#30542
C71×#30502
C71×#30352
C71×#30022
C71×#29432
C2×#435×C712
C71×#28962
C2×#416×C712
#6114171