Finite Group Databasebeta

← #32880539

Subgroups — #32880539

Order 18176.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602355C211yesmaximal, characteristic, complemented
2#22601400C211yesmaximal, characteristic, complemented
3#22601250C211yesmaximal, characteristic, complemented
4#22601167C211yesmaximal, characteristic, complemented
5#22601150C211yesmaximal, characteristic, complemented
6#22600924C211yesmaximal, characteristic, complemented
7#22600870C211yesmaximal, characteristic, complemented
8#22600834C211yesmaximal, characteristic, complemented
9#22600602C211yesmaximal, characteristic, complemented
10#22600571C211yesmaximal, characteristic, complemented
11#22600505C211yesmaximal, characteristic, complemented
12#22600496C211yesmaximal, characteristic, complemented
13#22600376C211yesmaximal, characteristic, complemented
14#22600325C211yesmaximal, characteristic, complemented
15#22599967C211yesmaximal, characteristic, complemented
16#22599846C211yesmaximal, characteristic, complemented
17#22599831C211yesmaximal, characteristic, complemented
18#22599025C211yesmaximal, characteristic, complemented
19#22598973C211yesmaximal, characteristic, complemented
20#22598947C211yesmaximal, characteristic, complemented
21#22598626C211yesmaximal, characteristic, complemented
22#22598602C211yesmaximal, characteristic, complemented
23#22598563C211yesmaximal, characteristic, complemented
24#22598524C211yesmaximal, characteristic, complemented
25#22598443C211yesmaximal, characteristic, complemented
26#22598439C211yesmaximal, characteristic, complemented
27#22597327C211yesmaximal, characteristic, complemented
28#22597197C211yesmaximal, characteristic, complemented
29#22597179C211yesmaximal, characteristic, complemented
30C4×#14556154C211yesmaximal, characteristic, complemented
31C71×#3513C211yesmaximal, characteristic, complemented
32C2×#14556158C2211yescharacteristic
33C2×#14556154C2211yescharacteristic
34C22×#11765853C2211yescharacteristic
35Q8×Dic142C2211yescharacteristic, complemented
36#17986722C2211yescharacteristic, complemented
37#17986720—21no—
38#17986719C2211yescharacteristic
39#17986719C2211yescharacteristic, complemented
40#17986716—21no—
41#17986716—21no—
42#17986714C2211yescharacteristic, complemented
43#17986713—21no—
44D4×Dic142C2211yescharacteristic, complemented
45#17986658C2211yescharacteristic
46#17986658C2211yescharacteristic, complemented
47#17986620C2211yescharacteristic, complemented
48#17986620C2211yescharacteristic, complemented
49#17986617—21no—
50#17986617—21no—
51#17986556C2211yescharacteristic, complemented
52#17986555—21no—
53#17986528—21no—
54#17986476C2211yescharacteristic, complemented
55#17986476C2211yescharacteristic, complemented
56C4×#11765865C2211yescharacteristic, complemented
57#17986409C2211yescharacteristic, complemented
58#17986409C2211yescharacteristic, complemented
59#17986402C2211yescharacteristic, complemented
60#17986394C2211yescharacteristic, complemented
61#17986386C2211yescharacteristic
62#17986381C2211yescharacteristic, complemented
63#17986369C2211yescharacteristic, complemented
64#17986361C2211yescharacteristic, complemented
65#17986358C2211yescharacteristic, complemented
66#17986358C2211yescharacteristic, complemented
67#17986356C2211yescharacteristic, complemented
68#17986345C2211yescharacteristic
69#17986340C2211yescharacteristic, complemented
70#17986337C2211yescharacteristic, complemented
71#17986337C2211yescharacteristic, complemented
72#17986334C2211yescharacteristic, complemented
73#17986334C2211yescharacteristic, complemented
74#17986334C2211yescharacteristic, complemented
75#17986323C2211yescharacteristic, complemented
76#17986320C2211yescharacteristic
77#17986320C2211yescharacteristic
78#17986320C2211yescharacteristic, complemented
79#17986320C2211yescharacteristic, complemented
80#17986312C2211yescharacteristic, complemented
81#17986303C2211yescharacteristic, complemented
82#17986303C2211yescharacteristic, complemented
83#17986303C2211yescharacteristic, complemented
84#17986296C2211yescharacteristic, complemented
85#17986294C2211yescharacteristic, complemented
86#17986291C2211yescharacteristic, complemented
87#17986289C2211yescharacteristic
88#17986281C2211yescharacteristic, complemented
89#17986279C2211yescharacteristic
90#17986279C2211yescharacteristic
91#17986279C2211yescharacteristic, complemented
92#17986279C2211yescharacteristic, complemented
93#17986255C2211yescharacteristic, complemented
94#17986255C2211yescharacteristic, complemented
95#17986250C2211yescharacteristic, complemented
96#17986247C2211yescharacteristic, complemented
97#17986243C2211yescharacteristic
98#17986243C2211yescharacteristic
99#17986243C2211yescharacteristic
100#17986243C2211yescharacteristic, complemented
101#17986238C2211yescharacteristic, complemented
102#17986233C2211yescharacteristic
103#17986233C2211yescharacteristic, complemented
104#17986226C2211yescharacteristic, complemented
105#17986221C2211yescharacteristic, complemented
106#17986218C2211yescharacteristic, complemented
107#17986218C2211yescharacteristic, complemented
108#17986218C2211yescharacteristic, complemented
109#17986214C2211yescharacteristic
110#17986214C2211yescharacteristic
111#17986214C2211yescharacteristic, complemented
112#17986211C2211yescharacteristic, complemented
113#17986204C2211yescharacteristic
114#17986204C2211yescharacteristic, complemented
115#17986196C2211yescharacteristic
116#17986196C2211yescharacteristic
117#17986161C2211yescharacteristic
118#17986159C2211yescharacteristic, complemented
119#17986154C2211yescharacteristic, complemented
120#17986150C2211yescharacteristic
121#17986150C2211yescharacteristic
122#17986150C2211yescharacteristic
123#17986144C2211yescharacteristic
124#17986142C2211yescharacteristic
125#17986137C2211yescharacteristic
126#17986137C2211yescharacteristic, complemented
127#17986137C2211yescharacteristic, complemented
128#17986133C2211yescharacteristic
129#17986130C2211yescharacteristic, complemented
130#17986130C2211yescharacteristic, complemented
131#17986109C2211yescharacteristic
132#17986109C2211yescharacteristic, complemented
133#17986109C2211yescharacteristic, complemented
134#17986104C2211yescharacteristic, complemented
135#17986104C2211yescharacteristic, complemented
136#17986099C2211yescharacteristic
137#17986099C2211yescharacteristic
138#17986099C2211yescharacteristic
139#17986099C2211yescharacteristic
140#17986099C2211yescharacteristic
141#17986099C2211yescharacteristic, complemented
142#17986099C2211yescharacteristic, complemented
143#17986099C2211yescharacteristic, complemented
144#17986099C2211yescharacteristic, complemented
145#17986099C2211yescharacteristic, complemented
146#17986097C2211yescharacteristic, complemented
147C4×#11765855C2211yescharacteristic, complemented
148C4×#11765855C2211yescharacteristic, complemented
149C4×#11765855C2211yescharacteristic, complemented
150C4×#11765853C2211yescharacteristic
151C4×#11765853C2211yescharacteristic
152C4×#11765853C2211yescharacteristic
153C4×#11765853C2211yescharacteristic, complemented
154C4×#11765853C2211yescharacteristic, complemented
155C4×#11765853C2211yescharacteristic, complemented
156C4×#11765853C2211yescharacteristic, complemented
157C4×#11765850C2211yescharacteristic
158C4×#11765850C2211yescharacteristic, complemented
159#17986077C2211yescharacteristic
160#17986077C2211yescharacteristic, complemented
161#17986071C2211yescharacteristic
162#17986071C2211yescharacteristic, complemented
163#17986071C2211yescharacteristic, complemented
164#17986071C2211yescharacteristic, complemented
165#17986060C2211yescharacteristic, complemented
166#17986060C2211yescharacteristic, complemented
167#17986056C2211yescharacteristic, complemented
168#17986039C2211yescharacteristic, complemented
169#17986039C2211yescharacteristic, complemented
170#17986035C2211yescharacteristic, complemented
171#17986007C2211yescharacteristic, complemented
172#17986004C2211yescharacteristic
173#17986004C2211yescharacteristic
174#17985998C2211yescharacteristic, complemented
175#17985995C2211yescharacteristic
176C2×#14556051C2211yescharacteristic, complemented
177#17985955C2211yescharacteristic, complemented
178#17985955C2211yescharacteristic, complemented
179C4×#11765849C2211yescharacteristic, complemented
180#559×C71C2211yescharacteristic
181#554×C71C2211yescharacteristic
182#553×C71—21no—
183#553×C71C2211yescharacteristic
184#552×C71C2211yescharacteristic
185#551×C71—21no—
186#551×C71—21no—
187#547×C71C2211yescharacteristic
188#546×C71—21no—
189#546×C71C2211yescharacteristic
190#546×C71C2211yescharacteristic
191D42×C71C2211yescharacteristic
192#542×C71C2211yescharacteristic
193#540×C71C2211yescharacteristic
194#539×C71—21no—
195#538×C71—21no—
196#529×C71C2211yescharacteristic
197#529×C71C2211yescharacteristic
198#525×C71—21no—
199C2×#123×C71—21no—
200#520×C71C2211yescharacteristic
201#518×C71C2211yescharacteristic
202C2×C4×D4×C71C2211yescharacteristic
203C2×#11765865C2311yescharacteristic
204C22×Dic142C2311yescharacteristic
205C22×Dic142C2311yescharacteristic
206#14556158—24no—
207#14556154—24no—
208C2×#11765855C2311yescharacteristic
209C2×#11765855C2311yescharacteristic
210C2×#11765855C2311yescharacteristic
211C2×#11765853—24no—
212C2×#11765853C2311yescharacteristic
213C2×#11765853C2311yescharacteristic
214C2×#11765853C2311yescharacteristic
215C2×#11765853C2311yescharacteristic
216C2×#11765853C2311yescharacteristic
217C2×#11765853C2311yescharacteristic
218C2×#11765853C2311yescharacteristic
219C2×#11765853C2311yescharacteristic
220C2×#11765853C2311yescharacteristic
221C2×#11765852C2311yescharacteristic
222C2×#11765850C2311yescharacteristic
223C2×#11765850C2311yescharacteristic
224C2×#11765850C2311yescharacteristic
225C2×#11765849C2311yescharacteristic
226C2×#11765849C2311yescharacteristic
227C2×#11765849C2311yescharacteristic
228C2×#11765849C2311yescharacteristic
229C22×C71⋊C8C2311yescharacteristic
230C22×C71⋊C8C2311yescharacteristic
231#14556128C2311yescharacteristic
232#14556128C2311yescharacteristic
233#14556128C2311yescharacteristic
234#14556128C2311yescharacteristic
235#14556127—21no—
236#14556127—21no—
237#14556127—21no—
238#14556127—21no—
239#14556123—21no—
240#14556123—21no—
241#14556123—21no—
242#14556123—21no—
243#14556121—21no—
244#14556121—21no—
245#14556121—21no—
246#14556121—21no—
247#14556120—21no—
248#14556116C2311yescharacteristic
249#14556116C2311yescharacteristic
250#14556115—21no—
251#14556115—21no—
252#14556114—21no—
253#14556114—21no—
254#14556114—21no—
255#14556114—21no—
256#14556114—21no—
257#14556114—21no—
258#14556110—21no—
259#14556110—21no—
260#14556107—21no—
261#14556107C2311yescharacteristic
262#14556107C2311yescharacteristic
263#14556107C2311yescharacteristic
264#14556107C2311yescharacteristic
265#14556106—21no—
266#14556106—21no—
267#14556106—21no—
268#14556106—21no—
269#14556105—21no—
270#14556105—21no—
271#14556104—21no—
272#14556102C2311yescharacteristic
273#14556102C2311yescharacteristic
274#14556100—21no—
275#14556100—21no—
276#14556099—21no—
277Q8×Dic71—21no—
278C4×Dic142—21no—
279C4×Dic142C2311yescharacteristic
280C4×Dic142C2311yescharacteristic
281C4×Dic142C2311yescharacteristic
282C4×Dic142C2311yescharacteristic
283C4×Dic142C2311yescharacteristic
284C4×Dic142C2311yescharacteristic
285C4×Dic142C2311yescharacteristic
286C4×Dic142C2311yescharacteristic
287#14556093—21no—
288#14556093—21no—
289#14556093—21no—
290#14556093—21no—
291#14556093—21no—
292#14556093—21no—
293C4×D284C2311yescharacteristic
294C4×D284C2311yescharacteristic
295D4×Dic71—21no—
296C4×C22⋊D71—21no—
297C4×C22⋊D71—21no—
298(C22⋊D71)⋊C4—21no—
299(C22⋊D71)⋊C4—21no—
300#14556087—21no—
301#14556087C2311yescharacteristic
302#14556087C2311yescharacteristic
303#14556087C2311yescharacteristic
304#14556086—21no—
305#14556086—21no—
306#14556085—21no—
307#14556084—21no—
308#14556084—21no—
309#14556084—21no—
310#14556084—21no—
311C42×D71—21no—
312#14556061C2311yescharacteristic
313#14556061C2311yescharacteristic
314#14556061C2311yescharacteristic
315#14556061C2311yescharacteristic
316#14556061C2311yescharacteristic
317#14556061C2311yescharacteristic
318#14556061C2311yescharacteristic
319#14556061C2311yescharacteristic
320#14556061C2311yescharacteristic
321#14556061C2311yescharacteristic
322#14556059C2311yescharacteristic
323#14556059C2311yescharacteristic
324#14556059C2311yescharacteristic
325#14556059C2311yescharacteristic
326#14556059C2311yescharacteristic
327#14556059C2311yescharacteristic
328C4⋊(C71⋊C8)C2311yescharacteristic
329C4⋊(C71⋊C8)C2311yescharacteristic
330C4⋊(C71⋊C8)C2311yescharacteristic
331C4⋊(C71⋊C8)C2311yescharacteristic
332C4⋊(C71⋊C8)C2311yescharacteristic
333C4⋊(C71⋊C8)C2311yescharacteristic
334#14556052C2311yescharacteristic
335#14556052C2311yescharacteristic
336#14556052C2311yescharacteristic
337#14556052C2311yescharacteristic
338#14556051C2311yescharacteristic
339#14556051C2311yescharacteristic
340#14556051C2311yescharacteristic
341#14556051C2311yescharacteristic
342#14556051C2311yescharacteristic
343#14556051C2311yescharacteristic
344#14556051C2311yescharacteristic
345#14556051C2311yescharacteristic
346#14556051C2311yescharacteristic
347#14556051C2311yescharacteristic
348#14556051C2311yescharacteristic
349#14556051C2311yescharacteristic
350#14556049C2311yescharacteristic
351#14556049C2311yescharacteristic
352#14556049C2311yescharacteristic
353#14556049C2311yescharacteristic
354#14556049C2311yescharacteristic
355#14556049C2311yescharacteristic
356#14556049C2311yescharacteristic
357#14556049C2311yescharacteristic
358#14556049C2311yescharacteristic
359#14556049C2311yescharacteristic
360#14556049C2311yescharacteristic
361#14556049C2311yescharacteristic
362#14556048C2311yescharacteristic
363#14556048C2311yescharacteristic
364#14556048C2311yescharacteristic
365#14556048C2311yescharacteristic
366C22⋊(C71⋊C8)C2311yescharacteristic
367C22⋊(C71⋊C8)C2311yescharacteristic
368C22⋊(C71⋊C8)C2311yescharacteristic
369C22⋊(C71⋊C8)C2311yescharacteristic
370C22⋊(C71⋊C8)C2311yescharacteristic
371C22⋊(C71⋊C8)C2311yescharacteristic
372#14556039C2311yescharacteristic
373#14556039C2311yescharacteristic
374#14556039C2311yescharacteristic
375#14556039C2311yescharacteristic
376#14556039C2311yescharacteristic
377#14556039C2311yescharacteristic
378C4×C71⋊C8C2311yescharacteristic
379C4×C71⋊C8C2311yescharacteristic
380C4×C71⋊C8C2311yescharacteristic
381C4×C71⋊C8C2311yescharacteristic
382C2×#41×C71—21no—
383C2×#41×C71C2311yescharacteristic
384C22×D4×C71—21no—
385C22×D4×C71C2311yescharacteristic
386C22×D4×C71C2311yescharacteristic
387C23×C4×C71—21no—
388C4⋊Q8×C71C2311yescharacteristic
389#127×C71C2311yescharacteristic
390#126×C71—21no—
391#126×C71—21no—
392#126×C71—21no—
393#126×C71—21no—
394#126×C71D411yescharacteristic
395#126×C71D411yescharacteristic
396#125×C71—21no—
397#125×C71D411yescharacteristic
398#125×C71C2311yescharacteristic
399#125×C71C2311yescharacteristic
400#124×C71—21no—
401#124×C71—21no—
402#124×C71D411yescharacteristic
403#124×C71C2311yescharacteristic
404#124×C71C2311yescharacteristic
405#123×C71—21no—
406#123×C71—21no—
407#123×C71—21no—
408#123×C71—21no—
409#123×C71—21no—
410#123×C71—21no—
411#123×C71—21no—
412#123×C71—21no—
413#123×C71—21no—
414#123×C71—21no—
415#123×C71—21no—
416#123×C71—21no—
417#123×C71D411yescharacteristic
418#123×C71D411yescharacteristic
419C22⋊Q8×C71—21no—
420C22⋊Q8×C71—21no—
421C22⋊Q8×C71—21no—
422C22⋊Q8×C71—21no—
423C22⋊Q8×C71—21no—
424C22⋊Q8×C71D411yescharacteristic
425C22⋊Q8×C71C2311yescharacteristic
426C22⋊Q8×C71C2311yescharacteristic
427#121×C71—21no—
428#121×C71—21no—
429#121×C71—21no—
430#121×C71—21no—
431#121×C71—21no—
432#121×C71—21no—
433#121×C71D411yescharacteristic
434#121×C71C2311yescharacteristic
435#121×C71C2311yescharacteristic
436#121×C71C2311yescharacteristic
437#121×C71C2311yescharacteristic
438#120×C71—21no—
439#120×C71—21no—
440#120×C71—21no—
441#120×C71—21no—
442C4×Q8×C71C2311yescharacteristic
443C4×Q8×C71C2311yescharacteristic
444C4×Q8×C71C2311yescharacteristic
445C4×D4×C71—21no—
446C4×D4×C71—21no—
447C4×D4×C71—21no—
448C4×D4×C71—21no—
449C4×D4×C71—21no—
450C4×D4×C71—21no—
451C4×D4×C71—21no—
452C4×D4×C71—21no—
453C4×D4×C71—21no—
454C4×D4×C71C2311yescharacteristic
455C4×D4×C71C2311yescharacteristic
456C4×D4×C71C2311yescharacteristic
457C4×D4×C71C2311yescharacteristic
458C4×D4×C71C2311yescharacteristic
459C4×D4×C71C2311yescharacteristic
460C4×D4×C71C2311yescharacteristic
461C4×D4×C71C2311yescharacteristic
462C4×D4×C71C2311yescharacteristic
463C4×D4×C71C2311yescharacteristic
464C4×D4×C71C2311yescharacteristic
465#117×C71—21no—
466#117×C71—21no—
467#117×C71—21no—
468#117×C71C2311yescharacteristic
469#117×C71C2311yescharacteristic
470#117×C71C2311yescharacteristic
471C2×C4⋊C4×C71—21no—
472C2×C4⋊C4×C71—21no—
473C2×C4⋊C4×C71C2311yescharacteristic
474C2×C4⋊C4×C71C2311yescharacteristic
475C2×C22⋊C4×C71—21no—
476C2×C22⋊C4×C71—21no—
477C2×C22⋊C4×C71—21no—
478C2×C22⋊C4×C71—21no—
479C2×C22⋊C4×C71—21no—
480C2×C42×C71C2311yescharacteristic
481#11765865—22no—
482#11765865—41no—
483C2×Dic142—22no—
484C2×Dic142—22no—
485C2×Dic142—21no—
486C2×Dic142—21no—
487C2×Dic142—21no—
488C2×Dic142—21no—
489C2×Dic142—21no—
490C2×Dic142—41no—
491C2×Dic142—41no—
492C2×Dic142C2411yescharacteristic
493C2×Dic142C2411yescharacteristic
494C2×Dic142C2411yescharacteristic
495C2×D284C2411yescharacteristic
496C2×C22⋊D71—21no—
497C2×C22⋊D71—21no—
498C2×C22⋊D71—21no—
499C22×Dic71—21no—
500C22×Dic71—21no—
501C2×C4×D71—21no—
502C2×C4×D71—21no—
503C2×C4×D71—21no—
504#11765855—22no—
505#11765855—22no—
506#11765855—41no—
507#11765853—22no—
508#11765853—22no—
509#11765853—22no—
510#11765853—22no—
511#11765853—22no—
512#11765853—41no—
513#11765853—41no—
514#11765853—41no—
515#11765853#4114yescomplemented
516#11765852—41no—
517#11765850—22no—
518#11765850—22no—
519#11765850—41no—
520#11765849—22no—
521#11765849—22no—
522#11765849—41no—
523#11765849—41no—
524C2×C71⋊C8—22no—
525C2×C71⋊C8—41no—
526C2×C71⋊C8C2411yescharacteristic
527C2×C71⋊C8C2411yescharacteristic
528C2×C71⋊C8C2411yescharacteristic
529C2×C71⋊C8C2411yescharacteristic
530C2×C71⋊C8C2411yescharacteristic
531C2×C71⋊C8C2411yescharacteristic
532C2×C71⋊C8C2411yescharacteristic
533C2×C71⋊C8C2411yescharacteristic
534C4⋊Dic71—21no—
535C4⋊Dic71—21no—
536C4⋊Dic71—21no—
537C4⋊Dic71—21no—
538C4⋊Dic71—21no—
539C4⋊Dic71C2411yescharacteristic
540C4⋊Dic71C2411yescharacteristic
541C4⋊Dic71C2411yescharacteristic
542C4⋊Dic71C2411yescharacteristic
543Dic71⋊C4—21no—
544Dic71⋊C4—21no—
545Dic71⋊C4—21no—
546Dic71⋊C4—21no—
547Dic71⋊C4—21no—
548Dic71⋊C4—21no—
549Dic71⋊C4—21no—
550Dic71⋊C4—21no—
551Dic71⋊C4—21no—
552Dic71⋊C4—21no—
553Dic71⋊C4—21no—
554Dic71⋊C4—21no—
555C22⋊Dic71—21no—
556C22⋊Dic71—21no—
557C22⋊Dic71—21no—
558C22⋊Dic71—21no—
559C22⋊Dic71—21no—
560C22⋊Dic71—21no—
561C22⋊Dic71—21no—
562(C2×D71)⋊C4—21no—
563(C2×D71)⋊C4—21no—
564(C2×D71)⋊C4—21no—
565(C2×D71)⋊C4—21no—
566(C2×D71)⋊C4—21no—
567(C2×D71)⋊C4—21no—
568(C2×D71)⋊C4—21no—
569(C2×D71)⋊C4—21no—
570C4×Dic71—21no—
571C4×Dic71—21no—
572C4×Dic71—21no—
573C4×Dic71—21no—
574C4×Dic71—21no—
575C4×Dic71—21no—
576C4×Dic71—21no—
577C4×Dic71—21no—
578C4×Dic71—21no—
579C4×Dic71—21no—
580C4×Dic71—21no—
581C24×C71—21no—
582C24×C71—21no—
583#41×C71—22no—
584#41×C71—41no—
585#41×C71—82no—
586C2×Q8×C71—21no—
587C2×Q8×C71C2×D411yescharacteristic
588C2×Q8×C71C2411yescharacteristic
589C2×D4×C71—22no—
590C2×D4×C71—22no—
591C2×D4×C71—21no—
592C2×D4×C71—21no—
593C2×D4×C71—21no—
594C2×D4×C71—21no—
595C2×D4×C71—21no—
596C2×D4×C71—21no—
597C2×D4×C71—21no—
598C2×D4×C71—21no—
599C2×D4×C71—21no—
600C2×D4×C71—41no—
601C2×D4×C71—41no—
602C2×D4×C71—82no—
603C2×D4×C71C2×D411yescharacteristic
604C2×D4×C71C2×D411yescharacteristic
605C2×D4×C71C2×D411yescharacteristic
606C2×D4×C71C2411yescharacteristic
607C2×D4×C71C2411yescharacteristic
608C2×D4×C71C2411yescharacteristic
609C22×C4×C71—21no—
610C22×C4×C71—21no—
611C22×C4×C71—21no—
612C22×C4×C71—21no—
613C22×C4×C71—21no—
614C22×C4×C71—21no—
615C22×C4×C71—21no—
616C22×C4×C71—21no—
617C22×C4×C71—21no—
618C22×C4×C71—21no—
619C22×C4×C71—21no—
620C22×C4×C71—82no—
621C22×C4×C71C2×D411yescharacteristic
622C22×C4×C71C2×D411yescharacteristic
623C22×C4×C71C2411yescharacteristic
624C22×C4×C71C2411yescharacteristic
625C22×C4×C71C2411yescharacteristic
626C4⋊C4×C71—21no—
627C4⋊C4×C71—21no—
628C4⋊C4×C71—21no—
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×C71C2×D411yescharacteristic
638C4⋊C4×C71C2×D411yescharacteristic
639C4⋊C4×C71C2×D411yescharacteristic
640C4⋊C4×C71C2×D411yescharacteristic
641C4⋊C4×C71C2×D411yescharacteristic
642C4⋊C4×C71C2×D411yescharacteristic
643C4⋊C4×C71C2×D411yescharacteristic
644C4⋊C4×C71C2×D411yescharacteristic
645C4⋊C4×C71C2×D411yescharacteristic
646C4⋊C4×C71C2×D411yescharacteristic
647C4⋊C4×C71C2411yescharacteristic
648C4⋊C4×C71C2411yescharacteristic
649C4⋊C4×C71C2411yescharacteristic
650C4⋊C4×C71C2411yescharacteristic
651C22⋊C4×C71—21no—
652C22⋊C4×C71—21no—
653C22⋊C4×C71—21no—
654C22⋊C4×C71—21no—
655C22⋊C4×C71—21no—
656C22⋊C4×C71—21no—
657C22⋊C4×C71—21no—
658C22⋊C4×C71—21no—
659C22⋊C4×C71—21no—
660C22⋊C4×C71—21no—
661C22⋊C4×C71—21no—
662C22⋊C4×C71—21no—
663C22⋊C4×C71—21no—
664C22⋊C4×C71—21no—
665C22⋊C4×C71—21no—
666C22⋊C4×C71—21no—
667C22⋊C4×C71—21no—
668C22⋊C4×C71—21no—
669C22⋊C4×C71—21no—
670C22⋊C4×C71C2×D411yescharacteristic
671C22⋊C4×C71C2×D411yescharacteristic
672C22⋊C4×C71C2×D411yescharacteristic
673C22⋊C4×C71C2×D411yescharacteristic
674C22⋊C4×C71C2×D411yescharacteristic
675C22⋊C4×C71C2×D411yescharacteristic
676C22⋊C4×C71C2×D411yescharacteristic
677C22⋊C4×C71C2×D411yescharacteristic
678C22⋊C4×C71C2×D411yescharacteristic
679C22⋊C4×C71C2×D411yescharacteristic
680C42×C71—21no—
681C42×C71—21no—
682C42×C71—21no—
683C42×C71C2×D411yescharacteristic
684C42×C71C2×D411yescharacteristic
685C42×C71C2411yescharacteristic
686C42×C71C2411yescharacteristic
687C42×C71C2411yescharacteristic
688C42×C71C2411yescharacteristic
689C23×C71—21no—
690C23×C71—21no—
691C23×C71—21no—
692C23×C71—42no—
693C23×C71—42no—
694C23×C71—42no—
695C23×C71—81no—
696C23×C71—81no—
697C23×C71—81no—
698C23×C71C22×D411yescharacteristic
699C23×C71C22×D411yescharacteristic
700C23×C71C22×D411yescharacteristic
701C22×D71—21no—
702Q8×C71—21no—
703Q8×C71—21no—
704Q8×C71—41no—
705Q8×C71—81no—
706D4×C71—21no—
707D4×C71—21no—
708D4×C71—21no—
709D4×C71—21no—
710D4×C71—21no—
711D4×C71—41no—
712D4×C71—41no—
713D4×C71—41no—
714D4×C71—42no—
715D4×C71—42no—
716D4×C71—42no—
717D4×C71—42no—
718D4×C71—81no—
719D4×C71—81no—
720D4×C71—81no—
721D4×C71—81no—
722D4×C71—81no—
723D4×C71C2×#4112yes—
724C2×C4×C71—21no—
725C2×C4×C71—21no—
726C2×C4×C71—21no—
727C2×C4×C71—21no—
728C2×C4×C71—21no—
729C2×C4×C71—21no—
730C2×C4×C71—21no—
731C2×C4×C71—21no—
732C2×C4×C71—21no—
733C2×C4×C71—21no—
734C2×C4×C71—21no—
735C2×C4×C71—41no—
736C2×C4×C71—41no—
737C2×C4×C71—42no—
738C2×C4×C71—42no—
739C2×C4×C71—81no—
740C2×C4×C71—81no—
741C2×C4×C71—81no—
742C2×C4×C71—81no—
743C2×C4×C71—81no—
744C2×C4×C71—81no—
745C2×C4×C71—81no—
746C2×C4×C71—81no—
747C2×C4×C71—81no—
748C2×C4×C71C22×D411yescharacteristic
749C2×C4×C71C22×D411yescharacteristic
750C2×C4×C71C22×D411yescharacteristic
751C2×C4×C71C22×D411yescharacteristic
752C2×C4×C71C22×D411yescharacteristic
753C2×C4×C71C22×D411yescharacteristic
754C2×C4×C71C22×D411yescharacteristic
755C2×C4×C71C22×D411yescharacteristic
756C2×C4×C71C22×D411yescharacteristic
757C2×C4×C71C22×D411yescharacteristic
758C2×C4×C71C22×D411yescharacteristic
759C2×C4×C71C2511yescharacteristic
760C22⋊D71—42no—
761C22⋊D71—81no—
762C22⋊D71—81no—
763C2×Dic71—21no—
764C2×Dic71—21no—
765C2×Dic71—21no—
766C2×Dic71—21no—
767C2×Dic71—21no—
768C2×Dic71—21no—
769C2×Dic71—21no—
770C2×Dic71—42no—
771C2×Dic71—42no—
772D284—21no—
773D284—21no—
774C4×D71—42no—
775C4×D71—42no—
776C4×D71—81no—
777Dic142—21no—
778Dic142—21no—
779Dic142—21no—
780Dic142—21no—
781Dic142—21no—
782Dic142—42no—
783Dic142—42no—
784Dic142—81no—
785Dic142—81no—
786Dic142—81no—
787Dic142C2×#4112yes—
788C71⋊C8—21no—
789C71⋊C8—21no—
790C71⋊C8—21no—
791C71⋊C8—21no—
792C71⋊C8—21no—
793C71⋊C8—21no—
794C71⋊C8—21no—
795C71⋊C8C2×#4112yes—
796C22×C71—21no—
797C22×C71—21no—
798C22×C71—21no—
799C22×C71—21no—
800C22×C71—21no—
801C22×C71—21no—
802C22×C71—21no—
803C22×C71—21no—
804C22×C71—21no—
805C22×C71—22no—
806C22×C71—41no—
807C22×C71—41no—
808C22×C71—41no—
809C22×C71—41no—
810C22×C71—41no—
811C22×C71—41no—
812C22×C71—41no—
813C22×C71—41no—
814C22×C71—84no—
815C22×C71—162no—
816C22×C71C23×D411yescharacteristic
817C2×D71—41no—
818C2×D71—41no—
819C2×D71—41no—
820C4×C71—21no—
821C4×C71—21no—
822C4×C71—21no—
823C4×C71—21no—
824C4×C71—21no—
825C4×C71—21no—
826C4×C71—21no—
827C4×C71—21no—
828C4×C71—21no—
829C4×C71—21no—
830C4×C71—21no—
831C4×C71—41no—
832C4×C71—41no—
833C4×C71—41no—
834C4×C71—41no—
835C4×C71—41no—
836C4×C71C22×#4111yescharacteristic
837C4×C71#58511yescharacteristic
838Dic71—22no—
839Dic71—41no—
840Dic71—41no—
841Dic71—41no—
842Dic71—41no—
843Dic71—41no—
844Dic71—41no—
845#61503—711nomaximal, Sylow
846C2×C71—41no—
847C2×C71—41no—
848C2×C71—41no—
849C2×C71—42no—
850C2×C71—81no—
851C2×C71—81no—
852C2×C71D4×#4111yescharacteristic
853C2×C71#358511yescharacteristic
854C2×C71#358611yescharacteristic
855D71—81no—
856#3518—711no—
857#3513D7111yescharacteristic, complemented
858#3401—711no—
859#3385—711no—
860#3376—711no—
861#3375—711no—
862#3353—711no—
863#3349—711no—
864#3347—711no—
865#3327—711no—
866#3324—711no—
867#3320—711no—
868#3319—711no—
869#3311—711no—
870#3308—711no—
871#3275—711no—
872#3266—711no—
873#3265—711no—
874#3179—711no—
875#3175—711no—
876#3172—711no—
877#3126—711no—
878#3124—711no—
879#3121—711no—
880#3118—711no—
881#3111—711no—
882#3110—711no—
883#2967—711no—
884#2949—711no—
885#2947—711no—
886C4×AGL(1,ℤ/8)—711no—
887C71#6150311yescharacteristic, complemented, Sylow
888C2×#137—711no—
889C2×AGL(1,ℤ/8)—711no—
890C22×SD16—711no—
891#559C2×D7111yescharacteristic
892Q82—711no—
893#556—711no—
894#556—711no—
895#556—711no—
896#556—1421no—
897#556—1421no—
898#556—1421no—
899#555—711no—
900#555—1421no—
901#554C2×D7111yescharacteristic
902#553—21no—
903#553C2×D7111yescharacteristic
904#552C2×D7111yescharacteristic
905#551—21no—
906#551—21no—
907D4×Q8—711no—
908#548—711no—
909#548—711no—
910#547C2×D7111yescharacteristic
911#546—21no—
912#546C2×D7111yescharacteristic
913#546C2×D7111yescharacteristic
914D42C2×D7111yescharacteristic
915#542—711no—
916#542—711no—
917#542—1421no—
918#542—1421no—
919#542C2×D7111yescharacteristic
920#540C2×D7111yescharacteristic
921#539—21no—
922#538—21no—
923#533—711no—
924#533—1421no—
925#529—1421no—
926#529C2×D7111yescharacteristic
927#529C2×D7111yescharacteristic
928#525—21no—
929C2×#123—21no—
930#520C2×D7111yescharacteristic
931#519—711no—
932#519—711no—
933#518C2×D7111yescharacteristic
934C4×#41—711no—
935C2×C4×D4C2×D7111yescharacteristic
936#501—711no—
937#501—711no—
938#500—711no—
939#497—711no—
940#496—711no—
941#495—711no—
942#491—711no—
943#489—711no—
944#489—711no—
945#489—711no—
946#488—711no—
947#486—711no—
948#485—711no—
949#485—711no—
950#485—711no—
951#484—711no—
952#484—711no—
953#484—711no—
954#482—711no—
955#482—711no—
956#482—711no—
957#482—711no—
958#482—711no—
959#480—711no—
960#479—711no—
961#479—711no—
962#479—711no—
963#478—711no—
964#477—711no—
965#477—711no—
966#476—711no—
967#475—711no—
968#474—711no—
969#474—711no—
970#474—711no—
971#474—711no—
972#470—711no—
973#470—711no—
974#469—711no—
975#468—711no—
976#468—711no—
977#468—711no—
978#468—711no—
979#468—711no—
980#467—711no—
981#466—711no—
982#466—711no—
983#465—711no—
984#464—711no—
985#464—711no—
986#464—711no—
987#464—711no—
988#463—711no—
989#463—711no—
990#463—711no—
991#463—711no—
992#461—711no—
993#461—711no—
994#460—711no—
995#460—711no—
996#452—711no—
997#452—711no—
998#451—711no—
999#450—711no—
1000#450—711no—
1001#450—711no—
1002#449—711no—
1003#449—711no—
1004#448—711no—
1005#448—711no—
1006#448—711no—
1007#447—711no—
1008#446—711no—
1009#446—711no—
1010#442—711no—
1011#442—711no—
1012#442—711no—
1013#441—711no—
1014#441—711no—
1015#440—711no—
1016#440—711no—
1017#440—711no—
1018#440—711no—
1019#440—711no—
1020#440—711no—
1021#440—711no—
1022#440—711no—
1023#440—711no—
1024#440—711no—
1025#440—711no—
1026C4×Q16—711no—
1027C4×Q16—711no—
1028C4×Q16—711no—
1029C4×SD16—711no—
1030C4×SD16—711no—
1031C4×SD16—711no—
1032C4×SD16—711no—
1033C4×SD16—711no—
1034C4×SD16—711no—
1035C4×SD16—711no—
1036C4×D8—711no—
1037C4×D8—711no—
1038#436—711no—
1039#436—711no—
1040#435—711no—
1041#435—711no—
1042#435—711no—
1043#435—711no—
1044#433—711no—
1045#433—711no—
1046#432—711no—
1047#428—711no—
1048#428—711no—
1049#427—711no—
1050#419—711no—
1051#418—711no—
1052#418—711no—
1053#417—711no—
1054#416—711no—
1055C2×#103—711no—
1056#405—711no—
1057#405—711no—
1058C4×M16—711no—
1059C2×#41—21no—
1060C2×#41—711no—
1061C2×#41C22×D7111yescharacteristic
1062C22×Q8—711no—
1063C22×Q8—711no—
1064C22×D4—21no—
1065C22×D4C22×D7111yescharacteristic
1066C22×D4C22×D7111yescharacteristic
1067C23×C4—21no—
1068#137—1424no—
1069AGL(1,ℤ/8)—1424no—
1070C2×Q16—711no—
1071C2×Q16—711no—
1072C2×Q16—711no—
1073C2×SD16—711no—
1074C2×SD16—711no—
1075C2×SD16—711no—
1076C2×SD16—711no—
1077C2×SD16—711no—
1078C2×SD16—711no—
1079C2×SD16—711no—
1080C2×SD16—711no—
1081C2×SD16—711no—
1082C2×SD16—711no—
1083C2×SD16—1424no—
1084C2×D8—711no—
1085C2×D8—711no—
1086C2×D8—711no—
1087C2×M16—711no—
1088C2×M16—711no—
1089C2×M16—711no—
1090C2×M16—711no—
1091C22×C8—711no—
1092C22×C8—711no—
1093C4⋊Q8—711no—
1094C4⋊Q8—711no—
1095C4⋊Q8—711no—
1096C4⋊Q8—711no—
1097C4⋊Q8—1421no—
1098C4⋊Q8—1421no—
1099C4⋊Q8—1421no—
1100C4⋊Q8—1421no—
1101C4⋊Q8C22×D7111yescharacteristic
1102#127C22×D7111yescharacteristic
1103#126—21no—
1104#126—21no—
1105#126—21no—
1106#126—21no—
1107#126—1421no—
1108#126—1421no—
1109#126—1421no—
1110#126—1421no—
1111#126—1421no—
1112#126—1421no—
1113#126—1421no—
1114#126—1421no—
1115#126C22⋊D7111yescharacteristic
1116#126C22⋊D7111yescharacteristic
1117#125—21no—
1118#125—1421no—
1119#125C22⋊D7111yescharacteristic
1120#125C22×D7111yescharacteristic
1121#125C22×D7111yescharacteristic
1122#124—21no—
1123#124—21no—
1124#124—711no—
1125#124—711no—
1126#124—1421no—
1127#124—1421no—
1128#124—1421no—
1129#124—1421no—
1130#124—1421no—
1131#124—1421no—
1132#124—1421no—
1133#124—1421no—
1134#124C22⋊D7111yescharacteristic
1135#124C22×D7111yescharacteristic
1136#124C22×D7111yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—21no—
1146#123—21no—
1147#123—21no—
1148#123—21no—
1149#123—1421no—
1150#123—1421no—
1151#123C22⋊D7111yescharacteristic
1152#123C22⋊D7111yescharacteristic
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—21no—
1157C22⋊Q8—21no—
1158C22⋊Q8—711no—
1159C22⋊Q8—711no—
1160C22⋊Q8—711no—
1161C22⋊Q8—711no—
1162C22⋊Q8—1421no—
1163C22⋊Q8—1421no—
1164C22⋊Q8—1421no—
1165C22⋊Q8—1421no—
1166C22⋊Q8—1421no—
1167C22⋊Q8—1421no—
1168C22⋊Q8—1421no—
1169C22⋊Q8—1421no—
1170C22⋊Q8C22⋊D7111yescharacteristic
1171C22⋊Q8C22×D7111yescharacteristic
1172C22⋊Q8C22×D7111yescharacteristic
1173#121—21no—
1174#121—21no—
1175#121—21no—
1176#121—21no—
1177#121—21no—
1178#121—21no—
1179#121—711no—
1180#121—711no—
1181#121—1421no—
1182#121—1421no—
1183#121—1421no—
1184#121C22⋊D7111yescharacteristic
1185#121C22×D7111yescharacteristic
1186#121C22×D7111yescharacteristic
1187#121C22×D7111yescharacteristic
1188#121C22×D7111yescharacteristic
1189#120—21no—
1190#120—21no—
1191#120—21no—
1192#120—21no—
1193C4×Q8—711no—
1194C4×Q8—711no—
1195C4×Q8—711no—
1196C4×Q8—711no—
1197C4×Q8—711no—
1198C4×Q8—711no—
1199C4×Q8—711no—
1200C4×Q8—711no—
1201C4×Q8—1421no—
1202C4×Q8—1421no—
1203C4×Q8—1421no—
1204C4×Q8—1421no—
1205C4×Q8—1421no—
1206C4×Q8—1421no—
1207C4×Q8—1421no—
1208C4×Q8—1421no—
1209C4×Q8C22×D7111yescharacteristic
1210C4×Q8C22×D7111yescharacteristic
1211C4×Q8C22×D7111yescharacteristic
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—21no—
1219C4×D4—21no—
1220C4×D4—21no—
1221C4×D4—711no—
1222C4×D4—711no—
1223C4×D4—1421no—
1224C4×D4—1421no—
1225C4×D4—1421no—
1226C4×D4—1421no—
1227C4×D4—1421no—
1228C4×D4C22×D7111yescharacteristic
1229C4×D4C22×D7111yescharacteristic
1230C4×D4C22×D7111yescharacteristic
1231C4×D4C22×D7111yescharacteristic
1232C4×D4C22×D7111yescharacteristic
1233C4×D4C22×D7111yescharacteristic
1234C4×D4C22×D7111yescharacteristic
1235C4×D4C22×D7111yescharacteristic
1236C4×D4C22×D7111yescharacteristic
1237C4×D4C22×D7111yescharacteristic
1238C4×D4C22×D7111yescharacteristic
1239#117—21no—
1240#117—21no—
1241#117—21no—
1242#117—711no—
1243#117—711no—
1244#117—711no—
1245#117—1421no—
1246#117—1421no—
1247#117—1421no—
1248#117—1421no—
1249#117—1421no—
1250#117—1421no—
1251#117—1421no—
1252#117—1421no—
1253#117C22×D7111yescharacteristic
1254#117C22×D7111yescharacteristic
1255#117C22×D7111yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—21no—
1258C2×C4⋊C4C22×D7111yescharacteristic
1259C2×C4⋊C4C22×D7111yescharacteristic
1260C2×C22⋊C4—21no—
1261C2×C22⋊C4—21no—
1262C2×C22⋊C4—21no—
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—21no—
1265C2×C42—1421no—
1266C2×C42C22×D7111yescharacteristic
1267#107—711no—
1268#107—711no—
1269#107—711no—
1270#107—711no—
1271#107—711no—
1272#107—711no—
1273#107—711no—
1274#107—711no—
1275#107—711no—
1276#107—711no—
1277#106—711no—
1278#106—711no—
1279#106—711no—
1280#106—711no—
1281#106—711no—
1282#106—711no—
1283C4⋊C8—711no—
1284C4⋊C8—711no—
1285C4⋊C8—711no—
1286C4⋊C8—711no—
1287C4⋊C8—711no—
1288C4⋊C8—711no—
1289#103—711no—
1290#103—711no—
1291#103—711no—
1292#103—711no—
1293#103—711no—
1294#103—711no—
1295#103—711no—
1296#103—711no—
1297#103—711no—
1298#103—711no—
1299#103—711no—
1300#103—711no—
1301#103—711no—
1302#103—711no—
1303#103—711no—
1304#103—711no—
1305#102—711no—
1306#102—711no—
1307#102—711no—
1308#102—711no—
1309#102—711no—
1310#102—711no—
1311#102—711no—
1312#102—711no—
1313#102—711no—
1314#102—711no—
1315#102—711no—
1316#102—711no—
1317#102—711no—
1318#102—711no—
1319#102—711no—
1320#102—711no—
1321C22⋊C8—711no—
1322C22⋊C8—711no—
1323C22⋊C8—711no—
1324C22⋊C8—711no—
1325C22⋊C8—711no—
1326C22⋊C8—711no—
1327#97—711no—
1328#97—711no—
1329#97—711no—
1330#97—711no—
1331#97—711no—
1332#97—711no—
1333C4×C8—711no—
1334C4×C8—711no—
1335C4×C8—711no—
1336C4×C8—711no—
1337C24—21no—
1338C24—21no—
1339#41—22no—
1340#41—41no—
1341#41—82no—
1342#41—2841no—
1343#41—1422no—
1344C2×Q8—21no—
1345C2×Q8—2841no—
1346C2×Q8—2841no—
1347C2×Q8—711no—
1348C2×Q8—711no—
1349C2×Q8—711no—
1350C2×Q8—1422no—
1351C2×Q8—1422no—
1352C2×Q8—1421no—
1353C2×Q8—1421no—
1354C2×Q8—1421no—
1355C2×Q8—1421no—
1356C2×Q8—1421no—
1357C2×Q8C2×C22⋊D7111yescharacteristic
1358C2×Q8C23×D7111yescharacteristic
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—21no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—82no—
1373C2×D4—711no—
1374C2×D4—1421no—
1375C2×D4—1421no—
1376C2×D4—1421no—
1377C2×D4C2×C22⋊D7111yescharacteristic
1378C2×D4C2×C22⋊D7111yescharacteristic
1379C2×D4C2×C22⋊D7111yescharacteristic
1380C2×D4C23×D7111yescharacteristic
1381C2×D4C23×D7111yescharacteristic
1382C2×D4C23×D7111yescharacteristic
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—21no—
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—82no—
1395C22×C4—1421no—
1396C22×C4—1421no—
1397C22×C4—1421no—
1398C22×C4—1421no—
1399C22×C4—1421no—
1400C22×C4C2×C22⋊D7111yescharacteristic
1401C22×C4C2×C22⋊D7111yescharacteristic
1402C22×C4C23×D7111yescharacteristic
1403C22×C4C23×D7111yescharacteristic
1404C22×C4C23×D7111yescharacteristic
1405Q16—2841no—
1406Q16—1422no—
1407Q16—1422no—
1408SD16—2841no—
1409SD16—2841no—
1410SD16—2841no—
1411SD16—2841no—
1412SD16—714no—
1413SD16—1422no—
1414SD16—1422no—
1415SD16—1422no—
1416SD16—1422no—
1417SD16—1422no—
1418D8—2841no—
1419D8—1422no—
1420D8—1422no—
1421M16—2841no—
1422M16—2841no—
1423M16—1422no—
1424M16—1422no—
1425C2×C8—2841no—
1426C2×C8—711no—
1427C2×C8—711no—
1428C2×C8—711no—
1429C2×C8—711no—
1430C2×C8—711no—
1431C2×C8—711no—
1432C2×C8—711no—
1433C2×C8—711no—
1434C2×C8—1422no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—711no—
1447C4⋊C4—711no—
1448C4⋊C4—711no—
1449C4⋊C4—711no—
1450C4⋊C4—1421no—
1451C4⋊C4—1421no—
1452C4⋊C4—1421no—
1453C4⋊C4—1421no—
1454C4⋊C4—1421no—
1455C4⋊C4—1421no—
1456C4⋊C4—1421no—
1457C4⋊C4—1421no—
1458C4⋊C4—1421no—
1459C4⋊C4—1421no—
1460C4⋊C4—1421no—
1461C4⋊C4—1421no—
1462C4⋊C4—1421no—
1463C4⋊C4—1421no—
1464C4⋊C4—1421no—
1465C4⋊C4—1421no—
1466C4⋊C4—1421no—
1467C4⋊C4C2×C22⋊D7111yescharacteristic
1468C4⋊C4C2×C22⋊D7111yescharacteristic
1469C4⋊C4C2×C22⋊D7111yescharacteristic
1470C4⋊C4C2×C22⋊D7111yescharacteristic
1471C4⋊C4C2×C22⋊D7111yescharacteristic
1472C4⋊C4C2×C22⋊D7111yescharacteristic
1473C4⋊C4C2×C22⋊D7111yescharacteristic
1474C4⋊C4C2×C22⋊D7111yescharacteristic
1475C4⋊C4C2×C22⋊D7111yescharacteristic
1476C4⋊C4C2×C22⋊D7111yescharacteristic
1477C4⋊C4C23×D7111yescharacteristic
1478C4⋊C4C23×D7111yescharacteristic
1479C4⋊C4C23×D7111yescharacteristic
1480C4⋊C4C23×D7111yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
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—1421no—
1501C22⋊C4—1421no—
1502C22⋊C4—1421no—
1503C22⋊C4—1421no—
1504C22⋊C4—1421no—
1505C22⋊C4—1421no—
1506C22⋊C4—1421no—
1507C22⋊C4—1421no—
1508C22⋊C4—1421no—
1509C22⋊C4—1421no—
1510C22⋊C4—1421no—
1511C22⋊C4—1421no—
1512C22⋊C4—1421no—
1513C22⋊C4—1421no—
1514C22⋊C4—1421no—
1515C22⋊C4C2×C22⋊D7111yescharacteristic
1516C22⋊C4C2×C22⋊D7111yescharacteristic
1517C22⋊C4C2×C22⋊D7111yescharacteristic
1518C22⋊C4C2×C22⋊D7111yescharacteristic
1519C22⋊C4C2×C22⋊D7111yescharacteristic
1520C22⋊C4C2×C22⋊D7111yescharacteristic
1521C22⋊C4C2×C22⋊D7111yescharacteristic
1522C22⋊C4C2×C22⋊D7111yescharacteristic
1523C22⋊C4C2×C22⋊D7111yescharacteristic
1524C22⋊C4C2×C22⋊D7111yescharacteristic
1525C42—21no—
1526C42—21no—
1527C42—21no—
1528C42—1421no—
1529C42—1421no—
1530C42—1421no—
1531C42—1421no—
1532C42—1421no—
1533C42—1421no—
1534C42—1421no—
1535C42—1421no—
1536C42—1421no—
1537C42—1421no—
1538C42—1421no—
1539C42C2×C22⋊D7111yescharacteristic
1540C42C2×C22⋊D7111yescharacteristic
1541C42C23×D7111yescharacteristic
1542C42C23×D7111yescharacteristic
1543C42C23×D7111yescharacteristic
1544C42C23×D7111yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—42no—
1551C23—81no—
1552C23—81no—
1553C23—81no—
1554C23—1421no—
1555C23C22×C22⋊D7111yescharacteristic
1556C23C22×C22⋊D7111yescharacteristic
1557C23C22×C22⋊D7111yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—41no—
1561Q8—81no—
1562Q8—2842no—
1563Q8—2842no—
1564Q8—5681no—
1565Q8—5681no—
1566Q8—5681no—
1567Q8—712no—
1568Q8—1421no—
1569Q8—1421no—
1570Q8—1421no—
1571Q8—1421no—
1572Q8—1421no—
1573D4—21no—
1574D4—21no—
1575D4—21no—
1576D4—21no—
1577D4—21no—
1578D4—41no—
1579D4—41no—
1580D4—41no—
1581D4—42no—
1582D4—42no—
1583D4—42no—
1584D4—42no—
1585D4—81no—
1586D4—81no—
1587D4—81no—
1588D4—81no—
1589D4—81no—
1590D4—2842no—
1591D4—5681no—
1592D4—5681no—
1593D4—1421no—
1594D4—1421no—
1595D4#41×D7112yes—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—41no—
1608C2×C4—41no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—81no—
1619C2×C4—81no—
1620C2×C4—2842no—
1621C2×C4—2842no—
1622C2×C4—2842no—
1623C2×C4—2842no—
1624C2×C4—5681no—
1625C2×C4—1421no—
1626C2×C4—1421no—
1627C2×C4—1421no—
1628C2×C4—1421no—
1629C2×C4—1421no—
1630C2×C4—1421no—
1631C2×C4—1421no—
1632C2×C4C22×C22⋊D7111yescharacteristic
1633C2×C4C22×C22⋊D7111yescharacteristic
1634C2×C4C22×C22⋊D7111yescharacteristic
1635C2×C4C22×C22⋊D7111yescharacteristic
1636C2×C4C22×C22⋊D7111yescharacteristic
1637C2×C4C22×C22⋊D7111yescharacteristic
1638C2×C4C22×C22⋊D7111yescharacteristic
1639C2×C4C22×C22⋊D7111yescharacteristic
1640C2×C4C22×C22⋊D7111yescharacteristic
1641C2×C4C22×C22⋊D7111yescharacteristic
1642C2×C4C22×C22⋊D7111yescharacteristic
1643C2×C4C24×D7111yescharacteristic
1644C8—712no—
1645C8—1421no—
1646C8—1421no—
1647C8—1421no—
1648C8—1421no—
1649C8—1421no—
1650C8—1421no—
1651C8—1421no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—22no—
1656C22—21no—
1657C22—21no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—21no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—84no—
1671C22—162no—
1672C22—2841no—
1673C22—2841no—
1674C22—2841no—
1675C22C23×C22⋊D7111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—21no—
1686C4—21no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—2841no—
1693C4—2841no—
1694C4—2841no—
1695C4—2841no—
1696C4—2841no—
1697C4—2841no—
1698C4—1422no—
1699C4C2×#41×D7111yescharacteristic
1700C4#1798683511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—41no—
1704C2—42no—
1705C2—81no—
1706C2—81no—
1707C2—5681no—
1708C2#41×C22⋊D7111yescharacteristic
1709C2#2260312011yescharacteristic
1710C2#2260312611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3513C2
socleC22×C71C23×D4
hypercenter#3513D71
hypocenterC71#61503
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #529 ◁ #3513

Complements

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

NH ≅ G/Ntype
1. #22602355C2semidirect
2. #22601400C2semidirect
3. #22601250C2semidirect
4. #22601167C2semidirect
5. #22601150C2semidirect
6. #22600924C2semidirect
7. #22600870C2semidirect
8. #22600834C2semidirect
9. #22600602C2semidirect
10. #22600571C2semidirect
11. #22600505C2semidirect
12. #22600496C2semidirect
13. #22600376C2semidirect
14. #22600325C2semidirect
15. #22599967C2semidirect
16. #22599846C2semidirect
17. #22599831C2semidirect
18. #22599025C2semidirect
19. #22598973C2semidirect
20. #22598947C2semidirect
21. #22598626C2semidirect
22. #22598602C2semidirect
23. #22598563C2semidirect
24. #22598524C2semidirect
25. #22598443C2semidirect
26. #22598439C2semidirect
27. #22597327C2semidirect
28. #22597197C2semidirect
29. #22597179C2semidirect
30. C4×#14556154C2semidirect
31. C71×#3513C2semidirect
35. Q8×Dic142C22semidirect
36. #17986722C22semidirect
39. #17986719C22semidirect
42. #17986714C22semidirect
44. D4×Dic142C22semidirect
46. #17986658C22semidirect
47. #17986620C22semidirect
48. #17986620C22semidirect
51. #17986556C22semidirect
54. #17986476C22semidirect
55. #17986476C22semidirect
56. C4×#11765865C22semidirect
57. #17986409C22semidirect
58. #17986409C22semidirect
59. #17986402C22semidirect
60. #17986394C22semidirect
62. #17986381C22semidirect
63. #17986369C22semidirect
64. #17986361C22semidirect
65. #17986358C22semidirect
66. #17986358C22semidirect
67. #17986356C22semidirect
69. #17986340C22semidirect
70. #17986337C22semidirect
71. #17986337C22semidirect
72. #17986334C22semidirect
73. #17986334C22semidirect
74. #17986334C22semidirect
75. #17986323C22semidirect
78. #17986320C22semidirect
79. #17986320C22semidirect
80. #17986312C22semidirect
81. #17986303C22semidirect
82. #17986303C22semidirect
83. #17986303C22semidirect
84. #17986296C22semidirect
85. #17986294C22semidirect
86. #17986291C22semidirect
88. #17986281C22semidirect
91. #17986279C22semidirect
92. #17986279C22semidirect
93. #17986255C22semidirect
94. #17986255C22semidirect
95. #17986250C22semidirect
96. #17986247C22semidirect
100. #17986243C22semidirect
101. #17986238C22semidirect
103. #17986233C22semidirect
104. #17986226C22semidirect
105. #17986221C22semidirect
106. #17986218C22semidirect
107. #17986218C22semidirect
108. #17986218C22semidirect
111. #17986214C22semidirect
112. #17986211C22semidirect
114. #17986204C22semidirect
118. #17986159C22semidirect
119. #17986154C22semidirect
126. #17986137C22semidirect
127. #17986137C22semidirect
129. #17986130C22semidirect
130. #17986130C22semidirect
132. #17986109C22semidirect
133. #17986109C22semidirect
134. #17986104C22semidirect
135. #17986104C22semidirect
141. #17986099C22semidirect
142. #17986099C22semidirect
143. #17986099C22semidirect
144. #17986099C22semidirect
145. #17986099C22semidirect
146. #17986097C22semidirect
147. C4×#11765855C22semidirect
148. C4×#11765855C22semidirect
149. C4×#11765855C22semidirect
153. C4×#11765853C22semidirect
154. C4×#11765853C22semidirect
155. C4×#11765853C22semidirect
156. C4×#11765853C22semidirect
158. C4×#11765850C22semidirect
160. #17986077C22semidirect
162. #17986071C22semidirect
163. #17986071C22semidirect
164. #17986071C22semidirect
165. #17986060C22semidirect
166. #17986060C22semidirect
167. #17986056C22semidirect
168. #17986039C22semidirect
169. #17986039C22semidirect
170. #17986035C22semidirect
171. #17986007C22semidirect
174. #17985998C22semidirect
176. C2×#14556051C22semidirect
177. #17985955C22semidirect
178. #17985955C22semidirect
179. C4×#11765849C22semidirect
515. #11765853#41semidirect
857. #3513D71semidirect
887. C71#61503semidirect

Maximal subgroups

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

subgroupindex
#226023552
#226014002
#226012502
#226011672
#226011502
#226009242
#226008702
#226008342
#226006022
#226005712
#226005052
#226004962
#226003762
#226003252
#225999672
#225998462
#225998312
#225990252
#225989732
#225989472
#225986262
#225986022
#225985632
#225985242
#225984432
#225984392
#225973272
#225971972
#225971792
C4×#145561542
C71×#35132
#6150371