Finite Group Databasebeta

← #32883011

Subgroups — #32883011

Order 18176.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602652C211yesmaximal, characteristic, complemented
2#22601976C211yesmaximal, characteristic, complemented
3#22600579C211yesmaximal, characteristic, complemented
4#22600546C211yesmaximal, characteristic, complemented
5#22600493C211yesmaximal, characteristic, complemented
6#22600486C211yesmaximal, characteristic, complemented
7#22600366C211yesmaximal, characteristic, complemented
8#22600298C211yesmaximal, characteristic, complemented
9#22600180C211yesmaximal, characteristic, complemented
10#22600150C211yesmaximal, characteristic, complemented
11#22600020C211yesmaximal, characteristic, complemented
12D8×D284C211yesmaximal, characteristic, complemented
13#22599961C211yesmaximal, characteristic, complemented
14#22599946C211yesmaximal, characteristic, complemented
15#22599882C211yesmaximal, characteristic, complemented
16#22599826C211yesmaximal, characteristic, complemented
17#22599826C211yesmaximal, characteristic, complemented
18#22599822C211yesmaximal, characteristic, complemented
19#22599428C211yesmaximal, characteristic, complemented
20#22599392C211yesmaximal, characteristic, complemented
21#22599204C211yesmaximal, characteristic, complemented
22#22599198C211yesmaximal, characteristic, complemented
23#22599158C211yesmaximal, characteristic, complemented
24#22599135C211yesmaximal, characteristic, complemented
25#22598583C211yesmaximal, characteristic, complemented
26#22597645C211yesmaximal, characteristic, complemented
27#22597603C211yesmaximal, characteristic, complemented
28#22597568C211yesmaximal, characteristic, complemented
29#447×D71C211yesmaximal, characteristic, complemented
30#22597386C211yesmaximal, characteristic, complemented
31C71×#3118C211yesmaximal, characteristic, complemented
32C2×#14556173C2211yescharacteristic, complemented
33C22×D4×D71C2211yescharacteristic, complemented
34C2×#14556155C2211yescharacteristic, complemented
35C2×#14556155C2211yescharacteristic, complemented
36C2×#14556155C2211yescharacteristic, complemented
37C2×#14556152C2211yescharacteristic, complemented
38C2×#14556149C2211yescharacteristic, complemented
39C2×D8×D71C2211yescharacteristic, complemented
40C2×D8×D71C2211yescharacteristic, complemented
41C2×D8×D71C2211yescharacteristic, complemented
42#17986745—21no—
43#17986740—21no—
44#17986715C2211yescharacteristic, complemented
45#17986699C2211yescharacteristic, complemented
46#17986690C2211yescharacteristic, complemented
47#17986674—21no—
48#17986671C2211yescharacteristic, complemented
49#17986652C2211yescharacteristic, complemented
50#17986644—21no—
51#17986644—21no—
52#17986644C2211yescharacteristic
53#17986644C2211yescharacteristic, complemented
54#17986644C2211yescharacteristic, complemented
55#17986644C2211yescharacteristic, complemented
56#17986642C2211yescharacteristic, complemented
57#17986642C2211yescharacteristic, complemented
58#17986640—21no—
59D4×D284—21no—
60D4×D284—21no—
61D4×D284C2211yescharacteristic
62D4×D284C2211yescharacteristic, complemented
63D4×D284C2211yescharacteristic, complemented
64D4×D284C2211yescharacteristic, complemented
65D4×D284C2211yescharacteristic, complemented
66#17986604C2211yescharacteristic, complemented
67#17986601—21no—
68#17986583—21no—
69#17986579C2211yescharacteristic, complemented
70#17986568C2211yescharacteristic, complemented
71#17986568C2211yescharacteristic, complemented
72#17986567—21no—
73#17986565C2211yescharacteristic, complemented
74#17986561—21no—
75#17986561—21no—
76#17986560—21no—
77#17986512C2211yescharacteristic, complemented
78#17986511C2211yescharacteristic
79#17986511C2211yescharacteristic, complemented
80#121×D71C2211yescharacteristic, complemented
81C2×#14556098—21no—
82C2×#14556098—21no—
83#17986389C2211yescharacteristic, complemented
84#17986388C2211yescharacteristic, complemented
85#17986381C2211yescharacteristic, complemented
86#17986376C2211yescharacteristic, complemented
87#17986364C2211yescharacteristic, complemented
88#17986361C2211yescharacteristic, complemented
89#17986354C2211yescharacteristic, complemented
90#17986347C2211yescharacteristic, complemented
91#17986342C2211yescharacteristic, complemented
92#17986331C2211yescharacteristic, complemented
93#17986326C2211yescharacteristic, complemented
94#17986325C2211yescharacteristic, complemented
95#17986325C2211yescharacteristic, complemented
96#17986323C2211yescharacteristic, complemented
97#17986323C2211yescharacteristic, complemented
98#17986319C2211yescharacteristic, complemented
99#17986314C2211yescharacteristic, complemented
100#17986314C2211yescharacteristic, complemented
101#17986299C2211yescharacteristic, complemented
102#17986299C2211yescharacteristic, complemented
103#17986253C2211yescharacteristic, complemented
104#17986253C2211yescharacteristic, complemented
105#17986253C2211yescharacteristic, complemented
106#17986251C2211yescharacteristic, complemented
107#17986251C2211yescharacteristic, complemented
108#17986248C2211yescharacteristic, complemented
109#17986246C2211yescharacteristic, complemented
110#17986244C2211yescharacteristic, complemented
111#17986239C2211yescharacteristic, complemented
112#17986236C2211yescharacteristic, complemented
113#17986236C2211yescharacteristic, complemented
114#17986236C2211yescharacteristic, complemented
115#17986234C2211yescharacteristic, complemented
116#17986231C2211yescharacteristic, complemented
117#17986231C2211yescharacteristic, complemented
118#17986229C2211yescharacteristic, complemented
119#17986221C2211yescharacteristic, complemented
120#17986215C2211yescharacteristic, complemented
121#17986215C2211yescharacteristic, complemented
122#17986214C2211yescharacteristic, complemented
123#17986199C2211yescharacteristic, complemented
124#17986195C2211yescharacteristic, complemented
125#17986195C2211yescharacteristic, complemented
126#17986194C2211yescharacteristic, complemented
127#17986194C2211yescharacteristic, complemented
128#17986194C2211yescharacteristic, complemented
129#17986164C2211yescharacteristic, complemented
130#17986159C2211yescharacteristic, complemented
131#17986158C2211yescharacteristic, complemented
132#17986151C2211yescharacteristic, complemented
133#17986149C2211yescharacteristic, complemented
134#17986148C2211yescharacteristic, complemented
135#17986148C2211yescharacteristic, complemented
136#17986148C2211yescharacteristic, complemented
137#17986147C2211yescharacteristic, complemented
138#17986147C2211yescharacteristic, complemented
139#17986147C2211yescharacteristic, complemented
140#17986146C2211yescharacteristic, complemented
141#17986146C2211yescharacteristic, complemented
142#17986145C2211yescharacteristic, complemented
143#17986145C2211yescharacteristic, complemented
144#17986142C2211yescharacteristic, complemented
145#17986141C2211yescharacteristic, complemented
146#17986135C2211yescharacteristic, complemented
147#17986135C2211yescharacteristic, complemented
148#17986134C2211yescharacteristic, complemented
149#17986134C2211yescharacteristic, complemented
150#17986134C2211yescharacteristic, complemented
151#17986134C2211yescharacteristic, complemented
152#17986134C2211yescharacteristic, complemented
153#17986134C2211yescharacteristic, complemented
154#17986134C2211yescharacteristic, complemented
155#17986134C2211yescharacteristic, complemented
156#17986134C2211yescharacteristic, complemented
157#17986133C2211yescharacteristic, complemented
158#17986133C2211yescharacteristic, complemented
159#17986132C2211yescharacteristic, complemented
160#17986131C2211yescharacteristic, complemented
161#17986131C2211yescharacteristic, complemented
162#17986131C2211yescharacteristic, complemented
163#17986109C2211yescharacteristic, complemented
164#17986109C2211yescharacteristic, complemented
165C4×#11765850C2211yescharacteristic, complemented
166C4×#11765850C2211yescharacteristic, complemented
167#17986078C2211yescharacteristic, complemented
168#17986076C2211yescharacteristic, complemented
169#17986072C2211yescharacteristic, complemented
170#17986072C2211yescharacteristic, complemented
171#17986069C2211yescharacteristic, complemented
172#17986069C2211yescharacteristic, complemented
173C8×D284C2211yescharacteristic, complemented
174#17986064C2211yescharacteristic, complemented
175#17986060C2211yescharacteristic, complemented
176#17986002C2211yescharacteristic, complemented
177#17986002C2211yescharacteristic, complemented
178#17986002C2211yescharacteristic, complemented
179#17985997C2211yescharacteristic, complemented
180#17985992C2211yescharacteristic, complemented
181#102×D71C2211yescharacteristic, complemented
182#102×D71C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#17985964C2211yescharacteristic, complemented
185#17985964C2211yescharacteristic, complemented
186#17985961C2211yescharacteristic, complemented
187C22⋊C8×D71C2211yescharacteristic, complemented
188#542×C71C2211yescharacteristic, complemented
189#518×C71C2211yescharacteristic, complemented
190#485×C71C2211yescharacteristic, complemented
191#482×C71C2211yescharacteristic, complemented
192#476×C71C2211yescharacteristic, complemented
193#474×C71C2211yescharacteristic, complemented
194#463×C71C2211yescharacteristic, complemented
195#463×C71C2211yescharacteristic, complemented
196#450×C71C2211yescharacteristic, complemented
197#447×C71C2211yescharacteristic
198#442×C71C2211yescharacteristic, complemented
199#440×C71C2211yescharacteristic, complemented
200C4×SD16×C71C2211yescharacteristic, complemented
201C4×D8×C71C2211yescharacteristic, complemented
202#433×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204#14556173—42no—
205#14556173—42no—
206C2×#11765866—21no—
207C2×#11765866C2311yescharacteristic
208C2×#11765866C2311yescharacteristic, complemented
209C2×#11765865C2311yescharacteristic
210C2×#11765865C2311yescharacteristic
211C2×#11765864—21no—
212C2×#11765864C2311yescharacteristic
213C2×#11765864C2311yescharacteristic
214C22×D284—21no—
215C22×D284—21no—
216C22×D284—21no—
217C22×D284—21no—
218C22×D284—21no—
219C22×D284C2311yescharacteristic
220C22×C22⋊D71—21no—
221C22×C22⋊D71—21no—
222C22×C22⋊D71—21no—
223C2×D4×D71—21no—
224C2×D4×D71—21no—
225C2×D4×D71—21no—
226C2×D4×D71—21no—
227C2×D4×D71—42no—
228C2×D4×D71—42no—
229C2×D4×D71C2311yescharacteristic
230C2×D4×D71C2311yescharacteristic
231C2×D4×D71C2311yescharacteristic
232C2×D4×D71C2311yescharacteristic
233C2×D4×D71C2311yescharacteristic
234C2×D4×D71C2311yescharacteristic
235C2×D4×D71C2311yescharacteristic
236C2×D4×D71C2311yescharacteristic, complemented
237C22×C4×D71C2311yescharacteristic
238#14556155—42no—
239#14556155—42no—
240#14556155—42no—
241#14556152—42no—
242#14556149—42no—
243C2×#11765855C2311yescharacteristic, complemented
244C2×#11765854C2311yescharacteristic, complemented
245C2×#11765854C2311yescharacteristic, complemented
246C2×#11765853C2311yescharacteristic, complemented
247C2×#11765852C2311yescharacteristic
248C2×#11765852C2311yescharacteristic
249C2×#11765852C2311yescharacteristic, complemented
250C2×D568C2311yescharacteristic
251C2×D568C2311yescharacteristic
252C2×D568C2311yescharacteristic
253C2×D568C2311yescharacteristic
254C2×D568C2311yescharacteristic, complemented
255C2×D568C2311yescharacteristic, complemented
256C2×#11765850C2311yescharacteristic
257C2×#11765850C2311yescharacteristic
258C2×#11765850C2311yescharacteristic
259C2×#11765850C2311yescharacteristic
260C2×#11765850C2311yescharacteristic
261C2×#11765850C2311yescharacteristic
262C2×#11765850C2311yescharacteristic, complemented
263D8×D71—42no—
264D8×D71—42no—
265D8×D71—42no—
266C2×#11765848C2311yescharacteristic
267C2×#11765848C2311yescharacteristic
268C2×#11765848C2311yescharacteristic, complemented
269C2×#11765848C2311yescharacteristic, complemented
270C2×C8×D71C2311yescharacteristic
271C2×C8×D71C2311yescharacteristic
272C2×C8×D71C2311yescharacteristic, complemented
273C2×C8×D71C2311yescharacteristic, complemented
274#14556125—21no—
275#14556125—21no—
276#14556125C2311yescharacteristic
277#14556125C2311yescharacteristic
278#14556125C2311yescharacteristic, complemented
279#14556124—21no—
280#14556122—21no—
281#14556121—21no—
282#14556120C2311yescharacteristic, complemented
283#14556118—21no—
284#14556117—21no—
285#14556117—21no—
286#14556116—21no—
287#14556116C2311yescharacteristic
288#14556116C2311yescharacteristic
289#14556114—21no—
290#14556113—21no—
291#14556113—21no—
292#14556113—21no—
293#14556113—21no—
294#14556113—21no—
295#14556113—21no—
296#14556112—21no—
297#14556112—21no—
298#14556112—21no—
299#14556112—21no—
300#14556112—21no—
301#14556112D411yescharacteristic
302#14556112D411yescharacteristic
303#14556111—21no—
304#14556110—21no—
305#14556110—21no—
306#14556108D411yescharacteristic
307#14556108D411yescharacteristic
308#14556108C2311yescharacteristic
309#14556108C2311yescharacteristic
310#14556106—21no—
311#14556104—21no—
312#14556104C2311yescharacteristic
313#14556104C2311yescharacteristic, complemented
314#14556103—21no—
315#14556103—21no—
316#14556103—21no—
317#14556103—21no—
318#14556103—21no—
319#14556103—21no—
320#14556103D411yescharacteristic
321#14556103D411yescharacteristic
322#14556103C2311yescharacteristic
323#14556103C2311yescharacteristic
324#14556103C2311yescharacteristic
325#14556103C2311yescharacteristic
326#14556103C2311yescharacteristic
327#14556103C2311yescharacteristic
328#14556103C2311yescharacteristic
329#14556103C2311yescharacteristic
330#14556103C2311yescharacteristic, complemented
331#14556103C2311yescharacteristic, complemented
332#14556102—21no—
333#14556102—21no—
334#14556102—21no—
335#14556102—21no—
336#14556102—21no—
337#14556102—21no—
338#14556102—21no—
339#14556102—21no—
340#14556102—21no—
341#14556102C2311yescharacteristic
342#14556102C2311yescharacteristic
343#14556101—21no—
344#14556101—21no—
345#14556101—21no—
346#14556101—21no—
347#14556101—21no—
348#14556101—21no—
349#14556101—21no—
350#14556101—21no—
351#14556100—21no—
352#14556099C2311yescharacteristic
353#14556099C2311yescharacteristic, complemented
354#14556098—21no—
355#14556098—21no—
356#14556098—21no—
357#14556098—21no—
358#14556098—21no—
359#14556098—21no—
360#14556098—21no—
361#14556098—21no—
362#14556098—21no—
363#14556098—21no—
364#14556098—21no—
365#14556098—21no—
366#14556098—21no—
367#14556098—21no—
368#14556098—21no—
369#14556098—21no—
370#14556098—21no—
371#14556098—21no—
372#14556098—21no—
373#14556098—21no—
374#14556098—21no—
375#14556098—21no—
376#14556098—21no—
377#14556098D411yescharacteristic
378#14556098D411yescharacteristic
379#14556096—21no—
380C4×D284—21no—
381C4×D284—21no—
382C4×D284—21no—
383C4×D284C2311yescharacteristic
384C4×D284C2311yescharacteristic
385C4×D284C2311yescharacteristic
386C4×D284C2311yescharacteristic
387C4×D284C2311yescharacteristic, complemented
388C4×D284C2311yescharacteristic, complemented
389#14556090—21no—
390C4×C22⋊D71—21no—
391(C22⋊D71)⋊C4—21no—
392#14556086—21no—
393#14556086C2311yescharacteristic
394#14556086C2311yescharacteristic, complemented
395#14556085—21no—
396C4⋊C4×D71C2311yescharacteristic
397C4⋊C4×D71C2311yescharacteristic, complemented
398C2×(C2×D71)⋊C4—21no—
399C2×(C2×D71)⋊C4—21no—
400C2×(C2×D71)⋊C4—21no—
401C2×(C2×D71)⋊C4—21no—
402C22⋊C4×D71—21no—
403C22⋊C4×D71—21no—
404C22⋊C4×D71—21no—
405#14556061C2311yescharacteristic, complemented
406#14556061C2311yescharacteristic, complemented
407#14556059C2311yescharacteristic, complemented
408#14556059C2311yescharacteristic, complemented
409C4⋊(C71⋊C8)C2311yescharacteristic, complemented
410C4⋊(C71⋊C8)C2311yescharacteristic, complemented
411#14556053C2311yescharacteristic, complemented
412#14556053C2311yescharacteristic, complemented
413#14556051C2311yescharacteristic, complemented
414#14556051C2311yescharacteristic, complemented
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic, complemented
420#14556050C2311yescharacteristic, complemented
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556048C2311yescharacteristic, complemented
430#14556048C2311yescharacteristic, complemented
431#14556048C2311yescharacteristic, complemented
432#14556048C2311yescharacteristic, complemented
433#14556048C2311yescharacteristic, complemented
434#14556048C2311yescharacteristic, complemented
435C22⋊(C71⋊C8)C2311yescharacteristic
436C22⋊(C71⋊C8)C2311yescharacteristic
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic
440(C2×D71)⋊C8C2311yescharacteristic
441(C2×D71)⋊C8C2311yescharacteristic, complemented
442(C2×D71)⋊C8C2311yescharacteristic, complemented
443(C2×D71)⋊C8C2311yescharacteristic, complemented
444(C2×D71)⋊C8C2311yescharacteristic, complemented
445#14556039C2311yescharacteristic, complemented
446C4×C71⋊C8C2311yescharacteristic, complemented
447C22×D4×C71C2311yescharacteristic
448C2×SD16×C71C2311yescharacteristic
449C2×SD16×C71C2311yescharacteristic
450C2×D8×C71C2311yescharacteristic
451C2×D8×C71C2311yescharacteristic
452C4⋊Q8×C71C2311yescharacteristic, complemented
453#126×C71—21no—
454#124×C71—21no—
455#124×C71C2311yescharacteristic, complemented
456#123×C71—21no—
457C22⋊Q8×C71—21no—
458C22⋊Q8×C71C2311yescharacteristic
459#121×C71C2311yescharacteristic
460C4×Q8×C71C2311yescharacteristic, complemented
461C4×D4×C71—21no—
462C4×D4×C71—21no—
463C4×D4×C71C2311yescharacteristic
464C4×D4×C71C2311yescharacteristic
465C4×D4×C71C2311yescharacteristic
466C4×D4×C71C2311yescharacteristic
467C4×D4×C71C2311yescharacteristic, complemented
468#117×C71C2311yescharacteristic
469#117×C71C2311yescharacteristic
470C2×C22⋊C4×C71—21no—
471C2×C22⋊C4×C71—21no—
472#107×C71C2311yescharacteristic, complemented
473#107×C71C2311yescharacteristic, complemented
474#106×C71C2311yescharacteristic, complemented
475#106×C71C2311yescharacteristic, complemented
476C4⋊C8×C71C2311yescharacteristic, complemented
477C4⋊C8×C71C2311yescharacteristic, complemented
478#103×C71C2311yescharacteristic, complemented
479#103×C71C2311yescharacteristic, complemented
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic
484#102×C71C2311yescharacteristic, complemented
485#102×C71C2311yescharacteristic, complemented
486C22⋊C8×C71C2311yescharacteristic
487C22⋊C8×C71C2311yescharacteristic
488#97×C71C2311yescharacteristic, complemented
489C4×C8×C71C2311yescharacteristic, complemented
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—21no—
494C23×D71—21no—
495C23×D71—21no—
496C23×D71—21no—
497C23×D71—21no—
498C23×D71—21no—
499C23×D71—44no—
500C23×D71—82no—
501C23×D71—82no—
502C23×D71C2×D411yescharacteristic
503#11765866—41no—
504#11765866—41no—
505#11765866—41no—
506#11765866—41no—
507#11765866—82no—
508#11765865—41no—
509#11765865—41no—
510#11765865—41no—
511#11765865—41no—
512#11765864—22no—
513#11765864—22no—
514#11765864—41no—
515#11765864—41no—
516#11765864—44no—
517C2×Dic142C2×D411yescharacteristic
518C2×Dic142C2411yescharacteristic
519C2×D284—21no—
520C2×D284—21no—
521C2×D284—21no—
522C2×D284—21no—
523C2×D284—21no—
524C2×D284—21no—
525C2×D284—21no—
526C2×D284—21no—
527C2×D284—21no—
528C2×D284—21no—
529C2×D284—21no—
530C2×D284—21no—
531C2×D284—21no—
532C2×D284—21no—
533C2×D284—21no—
534C2×D284—21no—
535C2×D284—21no—
536C2×D284—21no—
537C2×D284—21no—
538C2×D284—41no—
539C2×D284—41no—
540C2×D284—82no—
541C2×D284—82no—
542C2×D284—82no—
543C2×D284—82no—
544C2×D284—82no—
545C2×D284C2×D411yescharacteristic
546C2×D284C2×D411yescharacteristic
547C2×D284C2×D411yescharacteristic
548C2×D284C2×D411yescharacteristic
549C2×D284C2×D411yescharacteristic
550C2×D284C2411yescharacteristic
551C2×D284C2411yescharacteristic
552C2×D284C2411yescharacteristic
553C2×D284C2411yescharacteristic
554C2×D284C2411yescharacteristic
555C2×C22⋊D71—21no—
556C2×C22⋊D71—21no—
557C2×C22⋊D71—21no—
558C2×C22⋊D71—21no—
559C2×C22⋊D71—21no—
560C2×C22⋊D71—21no—
561C2×C22⋊D71—21no—
562C2×C22⋊D71—21no—
563C2×C22⋊D71—21no—
564C2×C22⋊D71—21no—
565C2×C22⋊D71—21no—
566C2×C22⋊D71—21no—
567C2×C22⋊D71—21no—
568C2×C22⋊D71—21no—
569C2×C22⋊D71—21no—
570C2×C22⋊D71—44no—
571C2×C22⋊D71—44no—
572C2×C22⋊D71—44no—
573C2×C22⋊D71C2×D411yescharacteristic
574C2×C22⋊D71C2×D411yescharacteristic
575D4×D71—22no—
576D4×D71—22no—
577D4×D71—22no—
578D4×D71—22no—
579D4×D71—22no—
580D4×D71—22no—
581D4×D71—41no—
582D4×D71—41no—
583D4×D71—41no—
584D4×D71—41no—
585D4×D71—41no—
586D4×D71—41no—
587D4×D71—41no—
588D4×D71—41no—
589D4×D71—41no—
590D4×D71—41no—
591D4×D71—44no—
592D4×D71—44no—
593D4×D71—44no—
594D4×D71—82no—
595C22×Dic71—21no—
596C22×Dic71—21no—
597C22×Dic71C2×D411yescharacteristic
598C2×C4×D71—21no—
599C2×C4×D71—21no—
600C2×C4×D71—21no—
601C2×C4×D71—21no—
602C2×C4×D71—21no—
603C2×C4×D71—21no—
604C2×C4×D71—21no—
605C2×C4×D71—41no—
606C2×C4×D71—41no—
607C2×C4×D71C2×D411yescharacteristic
608C2×C4×D71C2×D411yescharacteristic
609C2×C4×D71C2411yescharacteristic
610C2×C4×D71C2411yescharacteristic
611C2×C4×D71C2411yescharacteristic
612C2×C4×D71C2411yescharacteristic
613#11765855—41no—
614#11765854—41no—
615#11765854—41no—
616#11765853—41no—
617#11765852—41no—
618#11765852—41no—
619#11765852—41no—
620D568—41no—
621D568—41no—
622D568—41no—
623D568—41no—
624D568—41no—
625D568—41no—
626#11765850—22no—
627#11765850—22no—
628#11765850—22no—
629#11765850—22no—
630#11765850—41no—
631#11765850—41no—
632#11765850—41no—
633#11765848—41no—
634#11765848—41no—
635#11765848—41no—
636#11765848—41no—
637C2×C71⋊C8C2411yescharacteristic
638C2×C71⋊C8C2411yescharacteristic
639C2×C71⋊C8C2411yescharacteristic
640C2×C71⋊C8C2411yescharacteristic
641C8×D71—41no—
642C8×D71—41no—
643C8×D71—41no—
644C8×D71—41no—
645C4⋊Dic71—21no—
646C4⋊Dic71—21no—
647C4⋊Dic71C2×D411yescharacteristic
648C4⋊Dic71C2×D411yescharacteristic
649C4⋊Dic71C2×D411yescharacteristic
650C4⋊Dic71C2×D411yescharacteristic
651C4⋊Dic71C2411yescharacteristic
652C4⋊Dic71C2411yescharacteristic
653Dic71⋊C4—21no—
654Dic71⋊C4—21no—
655Dic71⋊C4—21no—
656Dic71⋊C4—21no—
657Dic71⋊C4—21no—
658Dic71⋊C4—21no—
659C22⋊Dic71—21no—
660C22⋊Dic71—21no—
661(C2×D71)⋊C4—21no—
662(C2×D71)⋊C4—21no—
663(C2×D71)⋊C4—21no—
664(C2×D71)⋊C4—21no—
665(C2×D71)⋊C4—21no—
666(C2×D71)⋊C4—21no—
667(C2×D71)⋊C4—21no—
668(C2×D71)⋊C4—21no—
669(C2×D71)⋊C4—21no—
670(C2×D71)⋊C4—21no—
671(C2×D71)⋊C4—21no—
672(C2×D71)⋊C4—21no—
673(C2×D71)⋊C4—21no—
674(C2×D71)⋊C4—21no—
675(C2×D71)⋊C4—21no—
676(C2×D71)⋊C4—21no—
677(C2×D71)⋊C4—21no—
678(C2×D71)⋊C4—21no—
679(C2×D71)⋊C4—21no—
680(C2×D71)⋊C4—21no—
681(C2×D71)⋊C4—21no—
682(C2×D71)⋊C4—21no—
683(C2×D71)⋊C4—21no—
684(C2×D71)⋊C4—21no—
685(C2×D71)⋊C4C2×D411yescharacteristic
686(C2×D71)⋊C4C2×D411yescharacteristic
687(C2×D71)⋊C4C2×D411yescharacteristic
688(C2×D71)⋊C4C2×D411yescharacteristic
689(C2×D71)⋊C4C2×D411yescharacteristic
690(C2×D71)⋊C4C2×D411yescharacteristic
691(C2×D71)⋊C4C2×D411yescharacteristic
692(C2×D71)⋊C4C2×D411yescharacteristic
693C4×Dic71—21no—
694C4×Dic71—21no—
695C24×C71—21no—
696C2×Q8×C71—21no—
697C2×Q8×C71C2411yescharacteristic
698C2×D4×C71—22no—
699C2×D4×C71—22no—
700C2×D4×C71—21no—
701C2×D4×C71—21no—
702C2×D4×C71C2411yescharacteristic
703C2×D4×C71C2411yescharacteristic
704C2×D4×C71C2411yescharacteristic
705C22×C4×C71—21no—
706C22×C4×C71—21no—
707C22×C4×C71—21no—
708C22×C4×C71—21no—
709C22×C4×C71—21no—
710C22×C4×C71C2411yescharacteristic
711SD16×C71—22no—
712SD16×C71—22no—
713D8×C71—22no—
714D8×C71—22no—
715C2×C8×C71C2411yescharacteristic
716C2×C8×C71C2411yescharacteristic
717C2×C8×C71C2411yescharacteristic
718C2×C8×C71C2411yescharacteristic
719C4⋊C4×C71—21no—
720C4⋊C4×C71—21no—
721C4⋊C4×C71—21no—
722C4⋊C4×C71C2×D411yescharacteristic
723C4⋊C4×C71C2×D411yescharacteristic
724C4⋊C4×C71C2411yescharacteristic
725C4⋊C4×C71C2411yescharacteristic
726C4⋊C4×C71C2411yescharacteristic
727C4⋊C4×C71C2411yescharacteristic
728C22⋊C4×C71—21no—
729C22⋊C4×C71—21no—
730C22⋊C4×C71—21no—
731C22⋊C4×C71—21no—
732C22⋊C4×C71—21no—
733C22⋊C4×C71—21no—
734C22⋊C4×C71—21no—
735C22⋊C4×C71—21no—
736C22⋊C4×C71—21no—
737C22⋊C4×C71—21no—
738C22⋊C4×C71C2×D411yescharacteristic
739C22⋊C4×C71C2×D411yescharacteristic
740C42×C71—21no—
741C42×C71—21no—
742C42×C71C2411yescharacteristic
743C42×C71C2411yescharacteristic
744C23×C71—24no—
745C23×C71—21no—
746C23×C71—21no—
747C23×C71—21no—
748C23×C71—81no—
749C23×C71—81no—
750C23×C71C22×D411yescharacteristic
751C22×D71—22no—
752C22×D71—21no—
753C22×D71—21no—
754C22×D71—21no—
755C22×D71—21no—
756C22×D71—21no—
757C22×D71—41no—
758C22×D71—41no—
759C22×D71—42no—
760C22×D71—42no—
761C22×D71—42no—
762C22×D71—42no—
763C22×D71—42no—
764C22×D71—42no—
765C22×D71—42no—
766C22×D71—42no—
767C22×D71—42no—
768C22×D71—42no—
769C22×D71—42no—
770C22×D71—42no—
771C22×D71—81no—
772C22×D71—81no—
773C22×D71—81no—
774C22×D71—81no—
775C22×D71—81no—
776C22×D71—81no—
777C22×D71—81no—
778C22×D71—81no—
779C22×D71—81no—
780C22×D71—81no—
781C22×D71—81no—
782C22×D71—81no—
783C22×D71—81no—
784C22×D71—81no—
785C22×D71—81no—
786C22×D71—816no—
787C22×D71C22×D411yescharacteristic
788C22×D71C22×D411yescharacteristic
789C22×D71C22×D411yescharacteristic
790C22×D71C22×D411yescharacteristic
791Q8×C71—21no—
792Q8×C71—21no—
793Q8×C71—81no—
794D4×C71—24no—
795D4×C71—21no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—21no—
799D4×C71—81no—
800D4×C71H(5,𝔽2)12yes—
801D4×C71H(5,𝔽2)12yes—
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—81no—
810C2×C4×C71—81no—
811C2×C4×C71—81no—
812C2×C4×C71—81no—
813C2×C4×C71—81no—
814C2×C4×C71C22×D411yescharacteristic
815C2×C4×C71C22×D411yescharacteristic
816C2×C4×C71C22×D411yescharacteristic
817C2×C4×C71C22×D411yescharacteristic
818C2×C4×C71C22×D411yescharacteristic
819C2×C4×C71C2511yescharacteristic
820C22⋊D71—41no—
821C22⋊D71—41no—
822C22⋊D71—42no—
823C22⋊D71—42no—
824C22⋊D71—42no—
825C22⋊D71—42no—
826C22⋊D71—42no—
827C22⋊D71—42no—
828C22⋊D71—42no—
829C22⋊D71—42no—
830C22⋊D71—42no—
831C22⋊D71—81no—
832C22⋊D71—81no—
833C22⋊D71—81no—
834C22⋊D71—81no—
835C22⋊D71—81no—
836C22⋊D71—81no—
837C2×Dic71—21no—
838C2×Dic71—21no—
839C2×Dic71—21no—
840C2×Dic71—41no—
841C2×Dic71—42no—
842C2×Dic71—42no—
843C2×Dic71C22×D411yescharacteristic
844C2×Dic71C22×D411yescharacteristic
845C2×Dic71C22×D411yescharacteristic
846C2×Dic71C22×D411yescharacteristic
847D284—22no—
848D284—22no—
849D284—21no—
850D284—21no—
851D284—21no—
852D284—21no—
853D284—21no—
854D284—21no—
855D284—21no—
856D284—21no—
857D284—21no—
858D284—21no—
859D284—41no—
860D284—41no—
861D284—41no—
862D284—42no—
863D284—42no—
864D284—42no—
865D284—42no—
866D284—81no—
867D284—81no—
868D284—81no—
869D284—81no—
870D284—81no—
871D284—81no—
872D284—81no—
873D284—81no—
874D284—81no—
875D284—81no—
876D284—81no—
877D284—81no—
878D284—81no—
879D284—81no—
880D284—81no—
881C4×D71—21no—
882C4×D71—21no—
883C4×D71—21no—
884C4×D71—21no—
885C4×D71—21no—
886C4×D71—21no—
887C4×D71—21no—
888C4×D71—21no—
889C4×D71—41no—
890C4×D71—41no—
891C4×D71—42no—
892C4×D71—42no—
893C4×D71—81no—
894C4×D71—81no—
895C4×D71—81no—
896C4×D71—81no—
897C4×D71—81no—
898Dic142—21no—
899Dic142—21no—
900Dic142—41no—
901C8×C71—21no—
902C8×C71—21no—
903C8×C71—21no—
904C8×C71—21no—
905C71⋊C8—21no—
906C71⋊C8—21no—
907C71⋊C8—21no—
908C71⋊C8—21no—
909C22×C71—21no—
910C22×C71—21no—
911C22×C71—22no—
912C22×C71—22no—
913C22×C71—21no—
914C22×C71—41no—
915C22×C71—41no—
916C22×C71—41no—
917C22×C71—41no—
918C22×C71—41no—
919C22×C71—41no—
920C22×C71—41no—
921C22×C71—84no—
922C22×C71C23×D411yescharacteristic
923C2×D71—21no—
924C2×D71—21no—
925C2×D71—21no—
926C2×D71—21no—
927C2×D71—21no—
928C2×D71—21no—
929C2×D71—21no—
930C2×D71—21no—
931C2×D71—21no—
932C2×D71—21no—
933C2×D71—21no—
934C2×D71—44no—
935C2×D71—41no—
936C2×D71—41no—
937C2×D71—41no—
938C2×D71—41no—
939C2×D71—41no—
940C2×D71—41no—
941C2×D71—41no—
942C2×D71—41no—
943C2×D71—41no—
944C2×D71—41no—
945C2×D71—41no—
946C2×D71—41no—
947C2×D71—41no—
948C2×D71—41no—
949C2×D71—41no—
950C2×D71—84no—
951C2×D71—84no—
952C2×D71—84no—
953C2×D71—84no—
954C2×D71—84no—
955C2×D71—162no—
956C2×D71—162no—
957C2×D71—162no—
958C2×D71—162no—
959C2×D71#57612yes—
960C4×C71—21no—
961C4×C71—21no—
962C4×C71—21no—
963C4×C71—21no—
964C4×C71—21no—
965C4×C71—41no—
966C4×C71—41no—
967C4×C71—41no—
968C4×C71—41no—
969C4×C71—41no—
970C4×C71C2×H(5,𝔽2)11yescharacteristic
971C4×C71C2×H(5,𝔽2)11yescharacteristic
972Dic71—21no—
973Dic71—21no—
974Dic71—21no—
975Dic71—21no—
976Dic71—41no—
977Dic71—41no—
978Dic71—41no—
979#61609—711nomaximal, Sylow
980C2×C71—41no—
981C2×C71—42no—
982C2×C71—42no—
983C2×C71—81no—
984C2×C71#348411yescharacteristic
985C2×C71C2×#57611yescharacteristic
986C2×C71#358511yescharacteristic
987D71—22no—
988D71—41no—
989D71—41no—
990D71—41no—
991D71—81no—
992D71—81no—
993D71—81no—
994D71—81no—
995D71—81no—
996#3542—711no—
997#3484—711no—
998#3325—711no—
999#3322—711no—
1000#3319—711no—
1001#3318—711no—
1002#3310—711no—
1003#3306—711no—
1004#3296—711no—
1005#3294—711no—
1006#3280—711no—
1007D4×D8—711no—
1008#3274—711no—
1009#3273—711no—
1010#3268—711no—
1011#3264—711no—
1012#3264—711no—
1013#3264—711no—
1014#3224—711no—
1015#3220—711no—
1016#3199—711no—
1017#3198—711no—
1018#3194—711no—
1019#3191—711no—
1020#3122—711no—
1021#3118D7111yescharacteristic, complemented
1022#3012—711no—
1023#3008—711no—
1024#3003—711no—
1025C2×#447—711no—
1026#2976—711no—
1027C71#6160911yescharacteristic, complemented, Sylow
1028C2×H(5,𝔽2)—711no—
1029C23×D4—711no—
1030C2×AGL(1,ℤ/8)—711no—
1031C2×AGL(1,ℤ/8)—711no—
1032C2×AGL(1,ℤ/8)—711no—
1033C2×AGL(1,ℤ/8)—711no—
1034C2×#135—711no—
1035C22×D8—711no—
1036C22×D8—711no—
1037C22×D8—711no—
1038#562—1421no—
1039#560—1421no—
1040#555—711no—
1041#553—711no—
1042#552—711no—
1043#551—1421no—
1044#550—711no—
1045#547—711no—
1046#546—711no—
1047#546—711no—
1048#546—711no—
1049#546—711no—
1050#546—711no—
1051#546—711no—
1052#546—1421no—
1053#546—1421no—
1054#546—1421no—
1055D42—711no—
1056D42—711no—
1057D42—711no—
1058D42—711no—
1059D42—711no—
1060D42—1421no—
1061D42—1421no—
1062#542C2×D7111yescharacteristic, complemented
1063#540—711no—
1064#540—1421no—
1065#538—1421no—
1066#537—711no—
1067#535—711no—
1068#535—711no—
1069#535—711no—
1070#535—1421no—
1071#534—1421no—
1072#534—1421no—
1073#534—1421no—
1074#525—711no—
1075#525—711no—
1076#525—711no—
1077C2×#121—711no—
1078C2×#120—1421no—
1079C2×#120—1421no—
1080#518C2×D7111yescharacteristic, complemented
1081#496—711no—
1082#496—711no—
1083#495—711no—
1084#493—711no—
1085#490—711no—
1086#489—711no—
1087#488—711no—
1088#486—711no—
1089#485—711no—
1090#485C2×D7111yescharacteristic, complemented
1091#483—711no—
1092#482—711no—
1093#482—711no—
1094#482—711no—
1095#482—711no—
1096#482—711no—
1097#482C2×D7111yescharacteristic, complemented
1098#481—711no—
1099#480—711no—
1100#480—711no—
1101#478—711no—
1102#478—711no—
1103#476C2×D7111yescharacteristic, complemented
1104#474C2×D7111yescharacteristic, complemented
1105#469—711no—
1106#469—711no—
1107#469—711no—
1108#469—711no—
1109#469—711no—
1110#468—711no—
1111#468—711no—
1112#468—711no—
1113#467—711no—
1114#466—711no—
1115#466—711no—
1116#466—711no—
1117#466—711no—
1118#465—711no—
1119#465—711no—
1120#465—711no—
1121#464—711no—
1122#463—711no—
1123#463—711no—
1124#463—711no—
1125#463C2×D7111yescharacteristic, complemented
1126#463C2×D7111yescharacteristic, complemented
1127#460—711no—
1128#459—711no—
1129#459—711no—
1130#459—711no—
1131#459—711no—
1132#459—711no—
1133#452—711no—
1134#452—711no—
1135#452—711no—
1136#450—711no—
1137#450—711no—
1138#450—711no—
1139#450—711no—
1140#450—711no—
1141#450C2×D7111yescharacteristic, complemented
1142#449—711no—
1143#449—711no—
1144#449—711no—
1145#449—711no—
1146#449—711no—
1147#449—711no—
1148#449—711no—
1149#449—711no—
1150#449—711no—
1151#447—711no—
1152#447—711no—
1153#447—711no—
1154#447—711no—
1155#447—711no—
1156#447—711no—
1157#447—711no—
1158#447—711no—
1159#447—711no—
1160#447—711no—
1161#447—711no—
1162#447—711no—
1163#447—711no—
1164#447—711no—
1165#447—711no—
1166#447—711no—
1167#447—711no—
1168#447C2×D7111yescharacteristic
1169#442—711no—
1170#442—711no—
1171#442C2×D7111yescharacteristic, complemented
1172#440C2×D7111yescharacteristic, complemented
1173C4×SD16C2×D7111yescharacteristic, complemented
1174C4×D8—711no—
1175C4×D8—711no—
1176C4×D8C2×D7111yescharacteristic, complemented
1177#436—711no—
1178#436—711no—
1179#435—711no—
1180#435—711no—
1181#435—711no—
1182#435—711no—
1183C8×D4—711no—
1184C8×D4—711no—
1185#433—711no—
1186#433C2×D7111yescharacteristic, complemented
1187#418—711no—
1188#418—711no—
1189#418—711no—
1190#417—711no—
1191#416—711no—
1192C2×#102—711no—
1193C2×#102—711no—
1194C2×#102—711no—
1195#408—711no—
1196#408—711no—
1197#407—711no—
1198C2×C22⋊C8—711no—
1199C25—1421no—
1200H(5,𝔽2)—2842no—
1201H(5,𝔽2)—2842no—
1202C2×#41—711no—
1203C2×#41—711no—
1204C2×#41—711no—
1205C2×#41—711no—
1206C2×#41—711no—
1207C2×#41—711no—
1208C2×#41—1421no—
1209C2×#41—1421no—
1210C22×D4—2842no—
1211C22×D4—2842no—
1212C22×D4—711no—
1213C22×D4—711no—
1214C22×D4—711no—
1215C22×D4—711no—
1216C22×D4—711no—
1217C22×D4—711no—
1218C22×D4—711no—
1219C22×D4—711no—
1220C22×D4—711no—
1221C22×D4—1421no—
1222C22×D4—1421no—
1223C22×D4—1421no—
1224C22×D4—1421no—
1225C22×D4—1421no—
1226C22×D4—1421no—
1227C22×D4—1421no—
1228C22×D4—1421no—
1229C22×D4—1421no—
1230C22×D4—1421no—
1231C22×D4—1421no—
1232C22×D4—1421no—
1233C22×D4C22×D7111yescharacteristic
1234C23×C4—711no—
1235AGL(1,ℤ/8)—2842no—
1236AGL(1,ℤ/8)—2842no—
1237AGL(1,ℤ/8)—2842no—
1238AGL(1,ℤ/8)—2842no—
1239#135—2842no—
1240C2×Q16—711no—
1241C2×SD16—711no—
1242C2×SD16—711no—
1243C2×SD16—711no—
1244C2×SD16—711no—
1245C2×SD16—711no—
1246C2×SD16—711no—
1247C2×SD16C22×D7111yescharacteristic
1248C2×SD16C22×D7111yescharacteristic
1249C2×D8—2842no—
1250C2×D8—2842no—
1251C2×D8—2842no—
1252C2×D8—711no—
1253C2×D8—711no—
1254C2×D8—711no—
1255C2×D8—711no—
1256C2×D8—711no—
1257C2×D8—711no—
1258C2×D8—711no—
1259C2×D8—711no—
1260C2×D8—711no—
1261C2×D8—711no—
1262C2×D8—711no—
1263C2×D8—711no—
1264C2×D8—711no—
1265C2×D8C22×D7111yescharacteristic
1266C2×D8C22×D7111yescharacteristic
1267C2×M16—711no—
1268C2×M16—711no—
1269C2×M16—711no—
1270C2×M16—711no—
1271C22×C8—711no—
1272C22×C8—711no—
1273C22×C8—711no—
1274C22×C8—711no—
1275C4⋊Q8C22×D7111yescharacteristic, complemented
1276#127—711no—
1277#127—711no—
1278#127—711no—
1279#127—1421no—
1280#127—1421no—
1281#127—1421no—
1282#126—21no—
1283#126—1421no—
1284#126—1421no—
1285#125—711no—
1286#125—1421no—
1287#124—21no—
1288#124—711no—
1289#124—711no—
1290#124—1421no—
1291#124—1421no—
1292#124—1421no—
1293#124—1421no—
1294#124C22×D7111yescharacteristic, complemented
1295#123—21no—
1296#123—711no—
1297#123—711no—
1298#123—1421no—
1299#123—1421no—
1300#123—1421no—
1301#123—1421no—
1302#123—1421no—
1303#123—1421no—
1304#123—1421no—
1305#123—1421no—
1306#123—1421no—
1307#123—1421no—
1308#123—1421no—
1309#123—1421no—
1310#123—1421no—
1311#123—1421no—
1312C22⋊Q8—21no—
1313C22⋊Q8—711no—
1314C22⋊Q8—711no—
1315C22⋊Q8—711no—
1316C22⋊Q8—711no—
1317C22⋊Q8—711no—
1318C22⋊Q8—711no—
1319C22⋊Q8—1421no—
1320C22⋊Q8—1421no—
1321C22⋊Q8C22×D7111yescharacteristic
1322#121—711no—
1323#121—711no—
1324#121—711no—
1325#121—711no—
1326#121—711no—
1327#121—711no—
1328#121—711no—
1329#121—711no—
1330#121—711no—
1331#121—711no—
1332#121—711no—
1333#121—711no—
1334#121—711no—
1335#121—711no—
1336#121—711no—
1337#121—711no—
1338#121—1421no—
1339#121—1421no—
1340#121—1421no—
1341#121—1421no—
1342#121—1421no—
1343#121—1421no—
1344#121—1421no—
1345#121—1421no—
1346#121—1421no—
1347#121—1421no—
1348#121—1421no—
1349#121—1421no—
1350#121—1421no—
1351#121—1421no—
1352#121—1421no—
1353#121—1421no—
1354#121—1421no—
1355#121—1421no—
1356#121—1421no—
1357#121—1421no—
1358#121—1421no—
1359#121—1421no—
1360#121—1421no—
1361#121—1421no—
1362#121C22×D7111yescharacteristic
1363#120—711no—
1364#120—711no—
1365#120—1421no—
1366#120—1421no—
1367#120—1421no—
1368#120—1421no—
1369#120—1421no—
1370#120—1421no—
1371#120—1421no—
1372#120—1421no—
1373#120—1421no—
1374#120—1421no—
1375#120—1421no—
1376#120—1421no—
1377#120—1421no—
1378#120—1421no—
1379#120—1421no—
1380#120—1421no—
1381#120—1421no—
1382#120—1421no—
1383#120—1421no—
1384#120—1421no—
1385#120—1421no—
1386#120—1421no—
1387#120—1421no—
1388#120—1421no—
1389C4×Q8C22×D7111yescharacteristic, complemented
1390C4×D4—21no—
1391C4×D4—21no—
1392C4×D4—711no—
1393C4×D4—711no—
1394C4×D4—711no—
1395C4×D4—711no—
1396C4×D4—711no—
1397C4×D4—711no—
1398C4×D4—1421no—
1399C4×D4—1421no—
1400C4×D4—1421no—
1401C4×D4—1421no—
1402C4×D4—1421no—
1403C4×D4—1421no—
1404C4×D4C22×D7111yescharacteristic
1405C4×D4C22×D7111yescharacteristic
1406C4×D4C22×D7111yescharacteristic
1407C4×D4C22×D7111yescharacteristic
1408C4×D4C22×D7111yescharacteristic, complemented
1409#117—711no—
1410#117—711no—
1411#117—1421no—
1412#117—1421no—
1413#117C22×D7111yescharacteristic
1414#117C22×D7111yescharacteristic
1415C2×C4⋊C4—711no—
1416C2×C4⋊C4—711no—
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—21no—
1419C2×C22⋊C4—1421no—
1420C2×C22⋊C4—1421no—
1421C2×C22⋊C4—1421no—
1422C2×C22⋊C4—1421no—
1423C2×C22⋊C4—1421no—
1424C2×C22⋊C4—1421no—
1425C2×C22⋊C4—1421no—
1426#107—711no—
1427#107—711no—
1428#107C22×D7111yescharacteristic, complemented
1429#107C22×D7111yescharacteristic, complemented
1430#106—711no—
1431#106—711no—
1432#106C22×D7111yescharacteristic, complemented
1433#106C22×D7111yescharacteristic, complemented
1434C4⋊C8—711no—
1435C4⋊C8—711no—
1436C4⋊C8C22×D7111yescharacteristic, complemented
1437C4⋊C8C22×D7111yescharacteristic, complemented
1438#103—711no—
1439#103—711no—
1440#103—711no—
1441#103—711no—
1442#103C22×D7111yescharacteristic, complemented
1443#103C22×D7111yescharacteristic, complemented
1444#102—711no—
1445#102—711no—
1446#102—711no—
1447#102—711no—
1448#102—711no—
1449#102—711no—
1450#102—711no—
1451#102—711no—
1452#102—711no—
1453#102—711no—
1454#102—711no—
1455#102—711no—
1456#102—711no—
1457#102—711no—
1458#102—711no—
1459#102—711no—
1460#102—711no—
1461#102—711no—
1462#102—711no—
1463#102—711no—
1464#102C22×D7111yescharacteristic
1465#102C22×D7111yescharacteristic
1466#102C22×D7111yescharacteristic
1467#102C22×D7111yescharacteristic
1468#102C22×D7111yescharacteristic, complemented
1469#102C22×D7111yescharacteristic, complemented
1470C22⋊C8—711no—
1471C22⋊C8—711no—
1472C22⋊C8—711no—
1473C22⋊C8—711no—
1474C22⋊C8—711no—
1475C22⋊C8—711no—
1476C22⋊C8—711no—
1477C22⋊C8—711no—
1478C22⋊C8—711no—
1479C22⋊C8—711no—
1480C22⋊C8C22×D7111yescharacteristic
1481C22⋊C8C22×D7111yescharacteristic
1482#97—711no—
1483#97C22×D7111yescharacteristic, complemented
1484C4×C8—711no—
1485C4×C8C22×D7111yescharacteristic, complemented
1486C24—21no—
1487C24—2844no—
1488C24—5682no—
1489C24—5682no—
1490C24—711no—
1491C24—1421no—
1492C24—1421no—
1493C24—1421no—
1494C24—1421no—
1495C24—1421no—
1496C24—1421no—
1497C24—1421no—
1498C24—1421no—
1499C24—1421no—
1500#41—2841no—
1501#41—2841no—
1502#41—2841no—
1503#41—2841no—
1504#41—2844no—
1505#41—2841no—
1506#41—2841no—
1507#41—2841no—
1508#41—2841no—
1509#41—2841no—
1510#41—2841no—
1511#41—5682no—
1512#41—1422no—
1513#41—1422no—
1514C2×Q8—21no—
1515C2×Q8—711no—
1516C2×Q8—711no—
1517C2×Q8C23×D7111yescharacteristic
1518C2×D4—22no—
1519C2×D4—22no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—2841no—
1523C2×D4—2841no—
1524C2×D4—2844no—
1525C2×D4—2844no—
1526C2×D4—2844no—
1527C2×D4—2844no—
1528C2×D4—2844no—
1529C2×D4—2844no—
1530C2×D4—2841no—
1531C2×D4—2841no—
1532C2×D4—2841no—
1533C2×D4—2841no—
1534C2×D4—2841no—
1535C2×D4—2841no—
1536C2×D4—2841no—
1537C2×D4—2841no—
1538C2×D4—2841no—
1539C2×D4—2841no—
1540C2×D4—5682no—
1541C2×D4—5682no—
1542C2×D4—5682no—
1543C2×D4—5682no—
1544C2×D4—5682no—
1545C2×D4—5682no—
1546C2×D4—711no—
1547C2×D4—711no—
1548C2×D4—711no—
1549C2×D4—711no—
1550C2×D4—711no—
1551C2×D4—711no—
1552C2×D4—711no—
1553C2×D4—711no—
1554C2×D4—711no—
1555C2×D4—711no—
1556C2×D4—711no—
1557C2×D4—711no—
1558C2×D4—1421no—
1559C2×D4—1421no—
1560C2×D4—1421no—
1561C2×D4—1421no—
1562C2×D4—1421no—
1563C2×D4—1421no—
1564C2×D4—1421no—
1565C2×D4—1421no—
1566C2×D4—1421no—
1567C2×D4—1421no—
1568C2×D4—1421no—
1569C2×D4—1421no—
1570C2×D4—1421no—
1571C2×D4—1421no—
1572C2×D4—1421no—
1573C2×D4—1421no—
1574C2×D4—1421no—
1575C2×D4—1421no—
1576C2×D4—1421no—
1577C2×D4—1421no—
1578C2×D4—1421no—
1579C2×D4—1421no—
1580C2×D4—1421no—
1581C2×D4—1422no—
1582C2×D4—1422no—
1583C2×D4—1422no—
1584C2×D4—1422no—
1585C2×D4—1422no—
1586C2×D4—1422no—
1587C2×D4—1421no—
1588C2×D4—1421no—
1589C2×D4—1421no—
1590C2×D4—1421no—
1591C2×D4—1421no—
1592C2×D4—1421no—
1593C2×D4—1421no—
1594C2×D4—1421no—
1595C2×D4—1421no—
1596C2×D4—1421no—
1597C2×D4—1421no—
1598C2×D4C23×D7111yescharacteristic
1599C2×D4C23×D7111yescharacteristic
1600C2×D4C23×D7111yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—21no—
1606C22×C4—2841no—
1607C22×C4—2841no—
1608C22×C4—711no—
1609C22×C4—711no—
1610C22×C4—711no—
1611C22×C4—711no—
1612C22×C4—711no—
1613C22×C4—711no—
1614C22×C4—711no—
1615C22×C4—1421no—
1616C22×C4—1421no—
1617C22×C4—1421no—
1618C22×C4—1421no—
1619C22×C4—1421no—
1620C22×C4—1421no—
1621C22×C4—1421no—
1622C22×C4—1421no—
1623C22×C4—1421no—
1624C22×C4C23×D7111yescharacteristic
1625Q16—2841no—
1626SD16—22no—
1627SD16—22no—
1628SD16—2841no—
1629SD16—2841no—
1630SD16—2841no—
1631SD16—2841no—
1632SD16—2841no—
1633SD16—2841no—
1634D8—22no—
1635D8—22no—
1636D8—2841no—
1637D8—2841no—
1638D8—2841no—
1639D8—2841no—
1640D8—2841no—
1641D8—2841no—
1642D8—2841no—
1643D8—2841no—
1644D8—2841no—
1645D8—1422no—
1646D8—1422no—
1647D8—1422no—
1648D8—1422no—
1649M16—2841no—
1650M16—2841no—
1651M16—2841no—
1652M16—2841no—
1653C2×C8—2841no—
1654C2×C8—2841no—
1655C2×C8—2841no—
1656C2×C8—2841no—
1657C2×C8—711no—
1658C2×C8—711no—
1659C2×C8—711no—
1660C2×C8—711no—
1661C2×C8C23×D7111yescharacteristic
1662C2×C8C23×D7111yescharacteristic
1663C2×C8C23×D7111yescharacteristic
1664C2×C8C23×D7111yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—711no—
1669C4⋊C4—711no—
1670C4⋊C4—711no—
1671C4⋊C4—711no—
1672C4⋊C4—711no—
1673C4⋊C4—711no—
1674C4⋊C4—1421no—
1675C4⋊C4—1421no—
1676C4⋊C4—1421no—
1677C4⋊C4—1421no—
1678C4⋊C4—1421no—
1679C4⋊C4—1421no—
1680C4⋊C4—1421no—
1681C4⋊C4—1421no—
1682C4⋊C4D4×D7111yescharacteristic
1683C4⋊C4D4×D7111yescharacteristic
1684C4⋊C4C23×D7111yescharacteristic
1685C4⋊C4C23×D7111yescharacteristic
1686C4⋊C4C23×D7111yescharacteristic
1687C4⋊C4C23×D7111yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—21no—
1698C22⋊C4—711no—
1699C22⋊C4—711no—
1700C22⋊C4—711no—
1701C22⋊C4—711no—
1702C22⋊C4—711no—
1703C22⋊C4—711no—
1704C22⋊C4—711no—
1705C22⋊C4—711no—
1706C22⋊C4—1421no—
1707C22⋊C4—1421no—
1708C22⋊C4—1421no—
1709C22⋊C4—1421no—
1710C22⋊C4—1421no—
1711C22⋊C4—1421no—
1712C22⋊C4—1421no—
1713C22⋊C4—1421no—
1714C22⋊C4—1421no—
1715C22⋊C4—1421no—
1716C22⋊C4—1421no—
1717C22⋊C4—1421no—
1718C22⋊C4—1421no—
1719C22⋊C4—1421no—
1720C22⋊C4—1421no—
1721C22⋊C4—1421no—
1722C22⋊C4—1421no—
1723C22⋊C4—1421no—
1724C22⋊C4—1421no—
1725C22⋊C4—1421no—
1726C22⋊C4—1421no—
1727C22⋊C4—1421no—
1728C22⋊C4—1421no—
1729C22⋊C4—1421no—
1730C22⋊C4—1421no—
1731C22⋊C4—1421no—
1732C22⋊C4D4×D7111yescharacteristic
1733C22⋊C4D4×D7111yescharacteristic
1734C42—21no—
1735C42—21no—
1736C42—1421no—
1737C42—1421no—
1738C42C23×D7111yescharacteristic
1739C42C23×D7111yescharacteristic
1740C23—24no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—81no—
1745C23—81no—
1746C23—2841no—
1747C23—2841no—
1748C23—2842no—
1749C23—2842no—
1750C23—2842no—
1751C23—2842no—
1752C23—2842no—
1753C23—2842no—
1754C23—2842no—
1755C23—2842no—
1756C23—2842no—
1757C23—2842no—
1758C23—2842no—
1759C23—2842no—
1760C23—5681no—
1761C23—5681no—
1762C23—5681no—
1763C23—5681no—
1764C23—5681no—
1765C23—5681no—
1766C23—5681no—
1767C23—5681no—
1768C23—5681no—
1769C23—5681no—
1770C23—5681no—
1771C23—5681no—
1772C23—5681no—
1773C23—5681no—
1774C23—5681no—
1775C23—56816no—
1776C23—711no—
1777C23—711no—
1778C23—711no—
1779C23—711no—
1780C23—1422no—
1781C23—1421no—
1782C23—1421no—
1783C23—1421no—
1784C23—1421no—
1785C23—1421no—
1786C23C2×D4×D7111yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—81no—
1790Q8—2841no—
1791Q8—1421no—
1792Q8—1421no—
1793D4—24no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—81no—
1799D4—2842no—
1800D4—2841no—
1801D4—2841no—
1802D4—2841no—
1803D4—2842no—
1804D4—2842no—
1805D4—2842no—
1806D4—2842no—
1807D4—2842no—
1808D4—2842no—
1809D4—2842no—
1810D4—2842no—
1811D4—2842no—
1812D4—2842no—
1813D4—2842no—
1814D4—2842no—
1815D4—2841no—
1816D4—2841no—
1817D4—5681no—
1818D4—5681no—
1819D4—5681no—
1820D4—5681no—
1821D4—5681no—
1822D4—5681no—
1823D4—5681no—
1824D4—5681no—
1825D4—5681no—
1826D4—5681no—
1827D4—5681no—
1828D4—5681no—
1829D4—5681no—
1830D4—5681no—
1831D4—5681no—
1832D4—5681no—
1833D4—5681no—
1834D4—5681no—
1835D4—5681no—
1836D4—5681no—
1837D4—5681no—
1838D4—1422no—
1839D4—1422no—
1840D4—1421no—
1841D4—1421no—
1842D4—1421no—
1843D4—1421no—
1844D4—1421no—
1845D4—1421no—
1846D4—1421no—
1847D4—1421no—
1848D4—1421no—
1849D4—1421no—
1850D4#1455617412yes—
1851D4#1455617412yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—81no—
1860C2×C4—81no—
1861C2×C4—81no—
1862C2×C4—81no—
1863C2×C4—81no—
1864C2×C4—2842no—
1865C2×C4—2841no—
1866C2×C4—2841no—
1867C2×C4—2842no—
1868C2×C4—2842no—
1869C2×C4—2842no—
1870C2×C4—2841no—
1871C2×C4—5681no—
1872C2×C4—5681no—
1873C2×C4—5681no—
1874C2×C4—5681no—
1875C2×C4—5681no—
1876C2×C4—711no—
1877C2×C4—711no—
1878C2×C4—711no—
1879C2×C4—711no—
1880C2×C4—1421no—
1881C2×C4—1421no—
1882C2×C4—1421no—
1883C2×C4—1421no—
1884C2×C4—1421no—
1885C2×C4—1421no—
1886C2×C4—1421no—
1887C2×C4—1421no—
1888C2×C4—1421no—
1889C2×C4—1421no—
1890C2×C4—1421no—
1891C2×C4C2×D4×D7111yescharacteristic
1892C2×C4C2×D4×D7111yescharacteristic
1893C2×C4C2×D4×D7111yescharacteristic
1894C2×C4C2×D4×D7111yescharacteristic
1895C2×C4C2×D4×D7111yescharacteristic
1896C2×C4C24×D7111yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—1421no—
1902C8—1421no—
1903C8—1421no—
1904C8—1421no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—22no—
1909C22—22no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—84no—
1918C22—2844no—
1919C22—2841no—
1920C22—2841no—
1921C22—2841no—
1922C22—2841no—
1923C22—2841no—
1924C22—2841no—
1925C22—2841no—
1926C22—2841no—
1927C22—2841no—
1928C22—2841no—
1929C22—2841no—
1930C22—2841no—
1931C22—2841no—
1932C22—2841no—
1933C22—2841no—
1934C22—5684no—
1935C22—5684no—
1936C22—5684no—
1937C22—5684no—
1938C22—5684no—
1939C22—712no—
1940C22—11362no—
1941C22—11362no—
1942C22—11362no—
1943C22—11362no—
1944C22—1421no—
1945C22—1421no—
1946C22—1421no—
1947C22—1421no—
1948C22—1421no—
1949C22—1421no—
1950C22—1421no—
1951C22—1421no—
1952C22—1421no—
1953C22—1421no—
1954C22—1421no—
1955C22C22×D4×D7111yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—21no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—41no—
1966C4—2841no—
1967C4—2841no—
1968C4—2841no—
1969C4—1421no—
1970C4—1421no—
1971C4—1421no—
1972C4—1421no—
1973C4C2×#1455617411yescharacteristic
1974C4C2×#1455617411yescharacteristic
1975C2—41no—
1976C2—42no—
1977C2—42no—
1978C2—81no—
1979C2—2841no—
1980C2—2841no—
1981C2—2841no—
1982C2—5681no—
1983C2—5681no—
1984C2—5681no—
1985C2—5681no—
1986C2—5681no—
1987C2—1422no—
1988C2#2260197311yescharacteristic
1989C2#576×D7111yescharacteristic
1990C2#2260311811yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3118C2
socleC22×C71C23×D4
hypercenter#3118D71
hypocenterC71#61609
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #117 ◁ #3118

Complements

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

NH ≅ G/Ntype
1. #22602652C2semidirect
2. #22601976C2semidirect
3. #22600579C2semidirect
4. #22600546C2semidirect
5. #22600493C2semidirect
6. #22600486C2semidirect
7. #22600366C2semidirect
8. #22600298C2semidirect
9. #22600180C2semidirect
10. #22600150C2semidirect
11. #22600020C2semidirect
12. D8×D284C2semidirect
13. #22599961C2semidirect
14. #22599946C2semidirect
15. #22599882C2semidirect
16. #22599826C2semidirect
17. #22599826C2semidirect
18. #22599822C2semidirect
19. #22599428C2semidirect
20. #22599392C2semidirect
21. #22599204C2semidirect
22. #22599198C2semidirect
23. #22599158C2semidirect
24. #22599135C2semidirect
25. #22598583C2semidirect
26. #22597645C2semidirect
27. #22597603C2semidirect
28. #22597568C2semidirect
29. #447×D71C2semidirect
30. #22597386C2semidirect
31. C71×#3118C2semidirect
32. C2×#14556173C22semidirect
33. C22×D4×D71C22semidirect
34. C2×#14556155C22semidirect
35. C2×#14556155C22semidirect
36. C2×#14556155C22semidirect
37. C2×#14556152C22semidirect
38. C2×#14556149C22semidirect
39. C2×D8×D71C22semidirect
40. C2×D8×D71C22semidirect
41. C2×D8×D71C22semidirect
44. #17986715C22semidirect
45. #17986699C22semidirect
46. #17986690C22semidirect
48. #17986671C22semidirect
49. #17986652C22semidirect
53. #17986644C22semidirect
54. #17986644C22semidirect
55. #17986644C22semidirect
56. #17986642C22semidirect
57. #17986642C22semidirect
62. D4×D284C22semidirect
63. D4×D284C22semidirect
64. D4×D284C22semidirect
65. D4×D284C22semidirect
66. #17986604C22semidirect
69. #17986579C22semidirect
70. #17986568C22semidirect
71. #17986568C22semidirect
73. #17986565C22semidirect
77. #17986512C22semidirect
79. #17986511C22semidirect
80. #121×D71C22semidirect
83. #17986389C22semidirect
84. #17986388C22semidirect
85. #17986381C22semidirect
86. #17986376C22semidirect
87. #17986364C22semidirect
88. #17986361C22semidirect
89. #17986354C22semidirect
90. #17986347C22semidirect
91. #17986342C22semidirect
92. #17986331C22semidirect
93. #17986326C22semidirect
94. #17986325C22semidirect
95. #17986325C22semidirect
96. #17986323C22semidirect
97. #17986323C22semidirect
98. #17986319C22semidirect
99. #17986314C22semidirect
100. #17986314C22semidirect
101. #17986299C22semidirect
102. #17986299C22semidirect
103. #17986253C22semidirect
104. #17986253C22semidirect
105. #17986253C22semidirect
106. #17986251C22semidirect
107. #17986251C22semidirect
108. #17986248C22semidirect
109. #17986246C22semidirect
110. #17986244C22semidirect
111. #17986239C22semidirect
112. #17986236C22semidirect
113. #17986236C22semidirect
114. #17986236C22semidirect
115. #17986234C22semidirect
116. #17986231C22semidirect
117. #17986231C22semidirect
118. #17986229C22semidirect
119. #17986221C22semidirect
120. #17986215C22semidirect
121. #17986215C22semidirect
122. #17986214C22semidirect
123. #17986199C22semidirect
124. #17986195C22semidirect
125. #17986195C22semidirect
126. #17986194C22semidirect
127. #17986194C22semidirect
128. #17986194C22semidirect
129. #17986164C22semidirect
130. #17986159C22semidirect
131. #17986158C22semidirect
132. #17986151C22semidirect
133. #17986149C22semidirect
134. #17986148C22semidirect
135. #17986148C22semidirect
136. #17986148C22semidirect
137. #17986147C22semidirect
138. #17986147C22semidirect
139. #17986147C22semidirect
140. #17986146C22semidirect
141. #17986146C22semidirect
142. #17986145C22semidirect
143. #17986145C22semidirect
144. #17986142C22semidirect
145. #17986141C22semidirect
146. #17986135C22semidirect
147. #17986135C22semidirect
148. #17986134C22semidirect
149. #17986134C22semidirect
150. #17986134C22semidirect
151. #17986134C22semidirect
152. #17986134C22semidirect
153. #17986134C22semidirect
154. #17986134C22semidirect
155. #17986134C22semidirect
156. #17986134C22semidirect
157. #17986133C22semidirect
158. #17986133C22semidirect
159. #17986132C22semidirect
160. #17986131C22semidirect
161. #17986131C22semidirect
162. #17986131C22semidirect
163. #17986109C22semidirect
164. #17986109C22semidirect
165. C4×#11765850C22semidirect
166. C4×#11765850C22semidirect
167. #17986078C22semidirect
168. #17986076C22semidirect
169. #17986072C22semidirect
170. #17986072C22semidirect
171. #17986069C22semidirect
172. #17986069C22semidirect
173. C8×D284C22semidirect
174. #17986064C22semidirect
175. #17986060C22semidirect
176. #17986002C22semidirect
177. #17986002C22semidirect
178. #17986002C22semidirect
179. #17985997C22semidirect
180. #17985992C22semidirect
181. #102×D71C22semidirect
182. #102×D71C22semidirect
183. #102×D71C22semidirect
184. #17985964C22semidirect
185. #17985964C22semidirect
186. #17985961C22semidirect
187. C22⋊C8×D71C22semidirect
188. #542×C71C22semidirect
189. #518×C71C22semidirect
190. #485×C71C22semidirect
191. #482×C71C22semidirect
192. #476×C71C22semidirect
193. #474×C71C22semidirect
194. #463×C71C22semidirect
195. #463×C71C22semidirect
196. #450×C71C22semidirect
198. #442×C71C22semidirect
199. #440×C71C22semidirect
200. C4×SD16×C71C22semidirect
201. C4×D8×C71C22semidirect
202. #433×C71C22semidirect
208. C2×#11765866C23semidirect
236. C2×D4×D71C23semidirect
243. C2×#11765855C23semidirect
244. C2×#11765854C23semidirect
245. C2×#11765854C23semidirect
246. C2×#11765853C23semidirect
249. C2×#11765852C23semidirect
254. C2×D568C23semidirect
255. C2×D568C23semidirect
262. C2×#11765850C23semidirect
268. C2×#11765848C23semidirect
269. C2×#11765848C23semidirect
272. C2×C8×D71C23semidirect
273. C2×C8×D71C23semidirect
278. #14556125C23semidirect
282. #14556120C23semidirect
313. #14556104C23semidirect
330. #14556103C23semidirect
331. #14556103C23semidirect
353. #14556099C23semidirect
387. C4×D284C23semidirect
388. C4×D284C23semidirect
394. #14556086C23semidirect
397. C4⋊C4×D71C23semidirect
405. #14556061C23semidirect
406. #14556061C23semidirect
407. #14556059C23semidirect
408. #14556059C23semidirect
409. C4⋊(C71⋊C8)C23semidirect
410. C4⋊(C71⋊C8)C23semidirect
411. #14556053C23semidirect
412. #14556053C23semidirect
413. #14556051C23semidirect
414. #14556051C23semidirect
419. #14556050C23semidirect
420. #14556050C23semidirect
429. #14556048C23semidirect
430. #14556048C23semidirect
431. #14556048C23semidirect
432. #14556048C23semidirect
433. #14556048C23semidirect
434. #14556048C23semidirect
441. (C2×D71)⋊C8C23semidirect
442. (C2×D71)⋊C8C23semidirect
443. (C2×D71)⋊C8C23semidirect
444. (C2×D71)⋊C8C23semidirect
445. #14556039C23semidirect
446. C4×C71⋊C8C23semidirect
452. C4⋊Q8×C71C23semidirect
455. #124×C71C23semidirect
460. C4×Q8×C71C23semidirect
467. C4×D4×C71C23semidirect
472. #107×C71C23semidirect
473. #107×C71C23semidirect
474. #106×C71C23semidirect
475. #106×C71C23semidirect
476. C4⋊C8×C71C23semidirect
477. C4⋊C8×C71C23semidirect
478. #103×C71C23semidirect
479. #103×C71C23semidirect
484. #102×C71C23semidirect
485. #102×C71C23semidirect
488. #97×C71C23semidirect
489. C4×C8×C71C23semidirect
1021. #3118D71semidirect
1027. C71#61609semidirect
1062. #542C2×D71semidirect
1080. #518C2×D71semidirect
1090. #485C2×D71semidirect
1097. #482C2×D71semidirect
1103. #476C2×D71semidirect
1104. #474C2×D71semidirect
1125. #463C2×D71semidirect
1126. #463C2×D71semidirect
1141. #450C2×D71semidirect
1171. #442C2×D71semidirect
1172. #440C2×D71semidirect
1173. C4×SD16C2×D71semidirect
1176. C4×D8C2×D71semidirect
1186. #433C2×D71semidirect
1275. C4⋊Q8C22×D71semidirect
1294. #124C22×D71semidirect
1389. C4×Q8C22×D71semidirect
1408. C4×D4C22×D71semidirect
1428. #107C22×D71semidirect
1429. #107C22×D71semidirect
1432. #106C22×D71semidirect
1433. #106C22×D71semidirect
1436. C4⋊C8C22×D71semidirect
1437. C4⋊C8C22×D71semidirect
1442. #103C22×D71semidirect
1443. #103C22×D71semidirect
1468. #102C22×D71semidirect
1469. #102C22×D71semidirect
1483. #97C22×D71semidirect
1485. C4×C8C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226026522
#226019762
#226005792
#226005462
#226004932
#226004862
#226003662
#226002982
#226001802
#226001502
#226000202
D8×D2842
#225999612
#225999462
#225998822
#225998262
#225998222
#225994282
#225993922
#225992042
#225991982
#225991582
#225991352
#225985832
#225976452
#225976032
#225975682
#447×D712
#225973862
C71×#31182
#6160971