Finite Group Databasebeta

← #32882303

Subgroups — #32882303

Order 18176.

2578 conjugacy classes of subgroups.

The subgroup lattice has 2038 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602180C211yesmaximal, characteristic, complemented
2D42×D71C211yesmaximal, characteristic, complemented
3#22600484C211yesmaximal, characteristic, complemented
4#22600482C211yesmaximal, characteristic, complemented
5#22600480C211yesmaximal, characteristic, complemented
6#22600478C211yesmaximal, characteristic, complemented
7#22600359C211yesmaximal, characteristic, complemented
8#22600357C211yesmaximal, characteristic, complemented
9#22600355C211yesmaximal, characteristic, complemented
10#22599842C211yesmaximal, characteristic, complemented
11#22599837C211yesmaximal, characteristic, complemented
12#22599833C211yesmaximal, characteristic, complemented
13#22599830C211yesmaximal, characteristic, complemented
14#22599825C211yesmaximal, characteristic, complemented
15#22599824C211yesmaximal, characteristic, complemented
16#22599817C211yesmaximal, characteristic, complemented
17#22599816C211yesmaximal, characteristic, complemented
18#22599362C211yesmaximal, characteristic, complemented
19#22599359C211yesmaximal, characteristic, complemented
20#22599158C211yesmaximal, characteristic, complemented
21#22599155C211yesmaximal, characteristic, complemented
22#22599092C211yesmaximal, characteristic, complemented
23#22599090C211yesmaximal, characteristic, complemented
24#22598483C211yesmaximal, characteristic, complemented
25#22598482C211yesmaximal, characteristic, complemented
26#22597569C211yesmaximal, characteristic, complemented
27#22597568C211yesmaximal, characteristic, complemented
28#450×D71C211yesmaximal, characteristic, complemented
29C2×#17986134C211yesmaximal, characteristic, complemented
30#22597365C211yesmaximal, characteristic, complemented
31C71×#3310C211yesmaximal, characteristic, complemented
32C22×D4×D71—21no—
33C22×D4×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic, complemented
35C2×#14556156C2211yescharacteristic, complemented
36C2×#14556155C2211yescharacteristic, complemented
37C2×#14556155C2211yescharacteristic, complemented
38C2×#14556154C2211yescharacteristic, complemented
39C2×SD16×D71C2211yescharacteristic, complemented
40C2×SD16×D71C2211yescharacteristic, complemented
41C22×D568C2211yescharacteristic, complemented
42C22×#11765850C2211yescharacteristic, complemented
43#17986702—21no—
44#17986702C2211yescharacteristic, complemented
45#17986700—21no—
46#17986693C2211yescharacteristic, complemented
47#17986684C2211yescharacteristic, complemented
48#17986673—21no—
49#17986672—21no—
50#17986661C2211yescharacteristic, complemented
51#17986659C2211yescharacteristic, complemented
52#17986645C2211yescharacteristic, complemented
53#17986640C2211yescharacteristic, complemented
54D4×D284C2211yescharacteristic
55D4×D284C2211yescharacteristic, complemented
56#17986634C2211yescharacteristic, complemented
57#17986633—21no—
58#17986633C2211yescharacteristic
59#17986633C2211yescharacteristic, complemented
60D4×C22⋊D71—21no—
61D4×C22⋊D71C2211yescharacteristic
62D4×C22⋊D71C2211yescharacteristic, complemented
63#17986631—21no—
64#17986631—21no—
65#17986597—21no—
66#17986588—21no—
67#17986560—21no—
68#127×D71C2211yescharacteristic, complemented
69#17986536C2211yescharacteristic, complemented
70#17986534C2211yescharacteristic, complemented
71#17986512C2211yescharacteristic, complemented
72#17986511C2211yescharacteristic, complemented
73C22⋊Q8×D71C2211yescharacteristic, complemented
74C2×#14556103C2211yescharacteristic, complemented
75#121×D71—21no—
76#121×D71C2211yescharacteristic
77#121×D71C2211yescharacteristic, complemented
78#120×D71—21no—
79#120×D71—21no—
80#17986473—21no—
81C4×D4×D71C2211yescharacteristic
82C4×D4×D71C2211yescharacteristic, complemented
83#17986388C2211yescharacteristic, complemented
84#17986386C2211yescharacteristic, complemented
85#17986385C2211yescharacteristic, complemented
86#17986385C2211yescharacteristic, complemented
87#17986365C2211yescharacteristic, complemented
88#17986362C2211yescharacteristic, complemented
89#17986362C2211yescharacteristic, complemented
90#17986331C2211yescharacteristic, complemented
91#17986328C2211yescharacteristic, complemented
92#17986326C2211yescharacteristic, complemented
93#17986323C2211yescharacteristic, complemented
94#17986322C2211yescharacteristic, complemented
95#17986319C2211yescharacteristic, complemented
96#17986316C2211yescharacteristic, complemented
97#17986314C2211yescharacteristic, complemented
98#17986314C2211yescharacteristic, complemented
99#17986312C2211yescharacteristic, complemented
100#17986302C2211yescharacteristic, complemented
101#17986301C2211yescharacteristic, complemented
102#17986296C2211yescharacteristic, complemented
103#17986253C2211yescharacteristic, complemented
104#17986252C2211yescharacteristic, complemented
105#17986251C2211yescharacteristic, complemented
106#17986250C2211yescharacteristic, complemented
107#17986247C2211yescharacteristic, complemented
108#17986246C2211yescharacteristic, complemented
109#17986244C2211yescharacteristic, complemented
110#17986236C2211yescharacteristic, complemented
111#17986236C2211yescharacteristic, complemented
112#17986234C2211yescharacteristic, complemented
113#17986234C2211yescharacteristic, complemented
114#17986230C2211yescharacteristic, complemented
115#17986228C2211yescharacteristic, complemented
116#17986226C2211yescharacteristic, complemented
117#17986217C2211yescharacteristic, complemented
118#17986216C2211yescharacteristic, complemented
119#17986215C2211yescharacteristic, complemented
120#17986214C2211yescharacteristic, complemented
121#17986199C2211yescharacteristic, complemented
122#17986198C2211yescharacteristic, complemented
123#17986198C2211yescharacteristic, complemented
124#17986195C2211yescharacteristic, complemented
125#17986193C2211yescharacteristic, complemented
126#17986193C2211yescharacteristic, complemented
127#17986191C2211yescharacteristic, complemented
128#17986152C2211yescharacteristic, complemented
129#17986151C2211yescharacteristic, complemented
130#17986151C2211yescharacteristic, complemented
131#17986151C2211yescharacteristic, complemented
132#17986151C2211yescharacteristic, complemented
133#17986151C2211yescharacteristic, complemented
134#17986150C2211yescharacteristic, complemented
135#17986149C2211yescharacteristic, complemented
136#17986149C2211yescharacteristic, complemented
137#17986148C2211yescharacteristic, complemented
138#17986148C2211yescharacteristic, complemented
139#17986148C2211yescharacteristic, complemented
140#17986147C2211yescharacteristic, complemented
141#17986146C2211yescharacteristic, complemented
142#17986143C2211yescharacteristic, complemented
143#17986142C2211yescharacteristic, complemented
144#17986139C2211yescharacteristic, complemented
145#17986136C2211yescharacteristic, complemented
146#17986135C2211yescharacteristic, complemented
147#17986135C2211yescharacteristic, complemented
148#17986134C2211yescharacteristic
149#17986134C2211yescharacteristic
150#17986134C2211yescharacteristic, complemented
151#17986134C2211yescharacteristic, complemented
152#17986134C2211yescharacteristic, complemented
153#17986134C2211yescharacteristic, complemented
154#17986134C2211yescharacteristic, complemented
155#17986134C2211yescharacteristic, complemented
156#17986134C2211yescharacteristic, complemented
157#17986134C2211yescharacteristic, complemented
158#17986134C2211yescharacteristic, complemented
159#17986134C2211yescharacteristic, complemented
160#17986133C2211yescharacteristic, complemented
161#17986132C2211yescharacteristic, complemented
162#17986112C2211yescharacteristic, complemented
163#17986110C2211yescharacteristic, complemented
164#17986109C2211yescharacteristic, complemented
165#17986108C2211yescharacteristic, complemented
166#17986098C2211yescharacteristic, complemented
167#17986097C2211yescharacteristic, complemented
168#17986096C2211yescharacteristic, complemented
169#17986073C2211yescharacteristic, complemented
170#17986072C2211yescharacteristic, complemented
171#17986071C2211yescharacteristic, complemented
172#17986070C2211yescharacteristic, complemented
173#17986069C2211yescharacteristic, complemented
174#17986068C2211yescharacteristic, complemented
175#17986067C2211yescharacteristic, complemented
176#17986055C2211yescharacteristic, complemented
177#17986054C2211yescharacteristic, complemented
178#17986003C2211yescharacteristic, complemented
179#17986002C2211yescharacteristic, complemented
180#17986002C2211yescharacteristic, complemented
181C2×#14556048C2211yescharacteristic, complemented
182#102×D71C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#17985962C2211yescharacteristic, complemented
185#17985961C2211yescharacteristic, complemented
186C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D71C2211yescharacteristic, complemented
188#552×C71C2211yescharacteristic, complemented
189D42×C71C2211yescharacteristic
190#490×C71C2211yescharacteristic, complemented
191#482×C71C2211yescharacteristic, complemented
192#480×C71C2211yescharacteristic, complemented
193#478×C71C2211yescharacteristic, complemented
194#468×C71C2211yescharacteristic, complemented
195#465×C71C2211yescharacteristic, complemented
196#460×C71C2211yescharacteristic, complemented
197#450×C71C2211yescharacteristic, complemented
198#450×C71C2211yescharacteristic, complemented
199#440×C71C2211yescharacteristic, complemented
200#435×C71C2211yescharacteristic, complemented
201#418×C71C2211yescharacteristic, complemented
202C2×#102×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204C24×D71—21no—
205C2×#11765866C2311yescharacteristic, complemented
206C2×#11765865C2311yescharacteristic, complemented
207C2×Q8×D71C2311yescharacteristic, complemented
208C22×D284—21no—
209C22×D284—21no—
210C22×D284C2311yescharacteristic
211C22×D284C2311yescharacteristic
212C22×D284C2311yescharacteristic, complemented
213C22×C22⋊D71—21no—
214C22×C22⋊D71—21no—
215C22×C22⋊D71—21no—
216C22×C22⋊D71—21no—
217C2×D4×D71—21no—
218C2×D4×D71—21no—
219C2×D4×D71—21no—
220C2×D4×D71—21no—
221C2×D4×D71—21no—
222C2×D4×D71—21no—
223C2×D4×D71—21no—
224C2×D4×D71—21no—
225C2×D4×D71—21no—
226C2×D4×D71—21no—
227C2×D4×D71—21no—
228C2×D4×D71—21no—
229C2×D4×D71—42no—
230C2×D4×D71—42no—
231C2×D4×D71—42no—
232C2×D4×D71—42no—
233C2×D4×D71—48no—
234C2×D4×D71D411yescharacteristic
235C2×D4×D71C2311yescharacteristic
236C2×D4×D71C2311yescharacteristic
237C2×D4×D71C2311yescharacteristic
238C2×D4×D71C2311yescharacteristic
239C2×D4×D71C2311yescharacteristic
240C2×D4×D71C2311yescharacteristic
241C2×D4×D71C2311yescharacteristic
242C22×C4×D71—21no—
243C22×C4×D71C2311yescharacteristic
244C22×C4×D71C2311yescharacteristic
245#14556156—42no—
246#14556155—42no—
247#14556155—42no—
248#14556154—42no—
249C2×#11765854C2311yescharacteristic
250C2×#11765854C2311yescharacteristic, complemented
251C2×#11765854C2311yescharacteristic, complemented
252C2×#11765853C2311yescharacteristic
253C2×#11765853C2311yescharacteristic, complemented
254C2×#11765853C2311yescharacteristic, complemented
255C2×#11765852C2311yescharacteristic
256C2×#11765852C2311yescharacteristic, complemented
257C2×#11765852C2311yescharacteristic, complemented
258SD16×D71—42no—
259SD16×D71—42no—
260C2×D568—42no—
261C2×D568C2311yescharacteristic
262C2×D568C2311yescharacteristic
263C2×D568C2311yescharacteristic, complemented
264C2×D568C2311yescharacteristic, complemented
265C2×D568C2311yescharacteristic, complemented
266C2×D568C2311yescharacteristic, complemented
267C2×#11765850—42no—
268C2×#11765850C2311yescharacteristic
269C2×#11765850C2311yescharacteristic
270C2×#11765850C2311yescharacteristic, complemented
271C2×#11765850C2311yescharacteristic, complemented
272C2×#11765850C2311yescharacteristic, complemented
273C2×#11765850C2311yescharacteristic, complemented
274C2×#11765849C2311yescharacteristic, complemented
275C2×#11765848C2311yescharacteristic, complemented
276C2×#11765848C2311yescharacteristic, complemented
277C22×C71⋊C8C2311yescharacteristic, complemented
278C2×C8×D71C2311yescharacteristic, complemented
279C2×C8×D71C2311yescharacteristic, complemented
280#14556125C2311yescharacteristic
281#14556124—21no—
282#14556124—21no—
283#14556124C2311yescharacteristic
284#14556124C2311yescharacteristic
285#14556123—21no—
286#14556123—21no—
287#14556123—21no—
288#14556123—21no—
289#14556122—21no—
290#14556119C2311yescharacteristic, complemented
291#14556118—21no—
292#14556117C2311yescharacteristic, complemented
293#14556116—21no—
294#14556116C2311yescharacteristic, complemented
295#14556114—21no—
296#14556113—21no—
297#14556113—21no—
298#14556113—21no—
299#14556113—21no—
300#14556113—21no—
301#14556113—21no—
302#14556112—21no—
303#14556111—21no—
304#14556110—21no—
305#14556108—21no—
306#14556108C2311yescharacteristic
307#14556108C2311yescharacteristic, complemented
308#14556107C2311yescharacteristic, complemented
309#14556106—21no—
310#14556106—21no—
311#14556105—21no—
312#14556104C2311yescharacteristic
313#14556103—21no—
314#14556103—21no—
315#14556103—21no—
316#14556103—21no—
317#14556103—21no—
318#14556103—21no—
319#14556103C2311yescharacteristic
320#14556103C2311yescharacteristic
321#14556103C2311yescharacteristic
322#14556103C2311yescharacteristic
323#14556103C2311yescharacteristic, complemented
324#14556103C2311yescharacteristic, complemented
325#14556103C2311yescharacteristic, complemented
326#14556102—21no—
327#14556102C2311yescharacteristic
328#14556102C2311yescharacteristic
329#14556102C2311yescharacteristic, complemented
330#14556101—21no—
331#14556101—21no—
332#14556101—21no—
333#14556101—21no—
334#14556101—21no—
335#14556101—21no—
336#14556101—21no—
337#14556100—21no—
338#14556100—21no—
339#14556100—21no—
340#14556100—21no—
341#14556099—21no—
342#14556099C2311yescharacteristic
343#14556099C2311yescharacteristic
344#14556098—21no—
345#14556098—21no—
346#14556098—21no—
347#14556098—21no—
348#14556098—21no—
349#14556098—21no—
350#14556098—21no—
351#14556098—21no—
352#14556098—21no—
353#14556097—21no—
354#14556097—21no—
355#14556096—21no—
356#14556096—21no—
357#14556096—21no—
358#14556096—21no—
359#14556096—21no—
360#14556096—21no—
361#14556096—21no—
362#14556093C2311yescharacteristic, complemented
363C4×D284—21no—
364C4×D284—21no—
365C4×D284—21no—
366C4×D284—21no—
367C4×D284—21no—
368C4×D284C2311yescharacteristic
369C4×D284C2311yescharacteristic
370C4×D284C2311yescharacteristic, complemented
371D4×Dic71D411yescharacteristic
372D4×Dic71C2311yescharacteristic
373#14556090—21no—
374#14556090—21no—
375#14556090—21no—
376#14556090—21no—
377#14556090D411yescharacteristic
378#14556090C2311yescharacteristic
379#14556090C2311yescharacteristic, complemented
380C4×C22⋊D71—21no—
381C4×C22⋊D71C2311yescharacteristic
382C4×C22⋊D71C2311yescharacteristic
383(C22⋊D71)⋊C4—21no—
384(C22⋊D71)⋊C4—21no—
385(C22⋊D71)⋊C4D411yescharacteristic
386(C22⋊D71)⋊C4D411yescharacteristic
387#14556087—21no—
388#14556086—21no—
389#14556086C2311yescharacteristic, complemented
390#14556085—21no—
391C4⋊C4×D71—21no—
392C4⋊C4×D71D411yescharacteristic
393C4⋊C4×D71C2311yescharacteristic
394C4⋊C4×D71C2311yescharacteristic, complemented
395C2×(C2×D71)⋊C4—21no—
396C22⋊C4×D71—21no—
397C22⋊C4×D71—21no—
398C22⋊C4×D71—21no—
399C22⋊C4×D71—21no—
400C22⋊C4×D71—21no—
401C22⋊C4×D71—21no—
402C22⋊C4×D71D411yescharacteristic
403C22⋊C4×D71D411yescharacteristic
404C42×D71C2311yescharacteristic
405#14556061C2311yescharacteristic, complemented
406#14556061C2311yescharacteristic, complemented
407#14556060C2311yescharacteristic, complemented
408#14556059C2311yescharacteristic, complemented
409#14556059C2311yescharacteristic, complemented
410C4⋊(C71⋊C8)C2311yescharacteristic, complemented
411Dic71⋊C8C2311yescharacteristic, complemented
412Dic71⋊C8C2311yescharacteristic, complemented
413#14556053C2311yescharacteristic, complemented
414#14556052C2311yescharacteristic, complemented
415#14556051C2311yescharacteristic, complemented
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic, complemented
418#14556050C2311yescharacteristic, complemented
419#14556050C2311yescharacteristic, complemented
420#14556050C2311yescharacteristic, complemented
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic, complemented
423#14556049C2311yescharacteristic, complemented
424#14556048C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic, complemented
428#14556048C2311yescharacteristic, complemented
429#14556048C2311yescharacteristic, complemented
430#14556048C2311yescharacteristic, complemented
431#14556048C2311yescharacteristic, complemented
432#14556048C2311yescharacteristic, complemented
433#14556048C2311yescharacteristic, complemented
434#14556048C2311yescharacteristic, complemented
435C22⋊(C71⋊C8)C2311yescharacteristic, complemented
436C22⋊(C71⋊C8)C2311yescharacteristic, complemented
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
446#14556038C2311yescharacteristic, complemented
447#14556038C2311yescharacteristic, complemented
448C22×D4×C71—21no—
449C22×D4×C71C2311yescharacteristic
450C22×D4×C71C2311yescharacteristic
451C2×SD16×C71C2311yescharacteristic
452C2×SD16×C71C2311yescharacteristic, complemented
453C2×SD16×C71C2311yescharacteristic, complemented
454C2×M16×C71C2311yescharacteristic, complemented
455C22×C8×C71C2311yescharacteristic, complemented
456#127×C71C2311yescharacteristic
457#126×C71—21no—
458#125×C71—21no—
459#125×C71C2311yescharacteristic, complemented
460#123×C71—21no—
461C22⋊Q8×C71C2311yescharacteristic, complemented
462C22⋊Q8×C71C2311yescharacteristic, complemented
463#121×C71—21no—
464#121×C71C2311yescharacteristic
465#121×C71C2311yescharacteristic
466#120×C71—21no—
467#120×C71—21no—
468C4×Q8×C71C2311yescharacteristic, complemented
469C4×D4×C71C2311yescharacteristic
470C4×D4×C71C2311yescharacteristic
471#117×C71—21no—
472#117×C71C2311yescharacteristic, complemented
473C2×C4⋊C4×C71C2311yescharacteristic, complemented
474#107×C71C2311yescharacteristic, complemented
475#107×C71C2311yescharacteristic, complemented
476#106×C71C2311yescharacteristic, complemented
477C4⋊C8×C71C2311yescharacteristic, complemented
478#103×C71C2311yescharacteristic, complemented
479#102×C71C2311yescharacteristic
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic, complemented
483#102×C71C2311yescharacteristic, complemented
484#102×C71C2311yescharacteristic, complemented
485#102×C71C2311yescharacteristic, complemented
486#102×C71C2311yescharacteristic, complemented
487#102×C71C2311yescharacteristic, complemented
488C22⋊C8×C71C2311yescharacteristic, complemented
489C22⋊C8×C71C2311yescharacteristic, complemented
490#97×C71C2311yescharacteristic, complemented
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—21no—
500C23×D71—21no—
501C23×D71—44no—
502C23×D71—44no—
503C23×D71—44no—
504C23×D71—44no—
505C23×D71—82no—
506C23×D71—82no—
507C23×D71C2×D411yescharacteristic
508C23×D71C2×D411yescharacteristic
509#11765866—41no—
510#11765866—41no—
511#11765865—41no—
512#11765865—41no—
513C2×Dic142—21no—
514C2×Dic142C2411yescharacteristic
515Q8×D71—41no—
516Q8×D71—41no—
517C2×D284—22no—
518C2×D284—22no—
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—41no—
533C2×D284—41no—
534C2×D284—41no—
535C2×D284—41no—
536C2×D284—44no—
537C2×D284—44no—
538C2×D284C2×D411yescharacteristic
539C2×D284C2411yescharacteristic
540C2×D284C2411yescharacteristic
541C2×D284C2411yescharacteristic
542C2×D284C2411yescharacteristic
543C2×D284C2411yescharacteristic
544C2×C22⋊D71—21no—
545C2×C22⋊D71—21no—
546C2×C22⋊D71—21no—
547C2×C22⋊D71—21no—
548C2×C22⋊D71—21no—
549C2×C22⋊D71—21no—
550C2×C22⋊D71—21no—
551C2×C22⋊D71—21no—
552C2×C22⋊D71—21no—
553C2×C22⋊D71—21no—
554C2×C22⋊D71—21no—
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—44no—
562C2×C22⋊D71—44no—
563C2×C22⋊D71—44no—
564C2×C22⋊D71—44no—
565C2×C22⋊D71C2×D411yescharacteristic
566C2×C22⋊D71C2×D411yescharacteristic
567D4×D71—24no—
568D4×D71—22no—
569D4×D71—22no—
570D4×D71—22no—
571D4×D71—22no—
572D4×D71—22no—
573D4×D71—22no—
574D4×D71—41no—
575D4×D71—41no—
576D4×D71—41no—
577D4×D71—41no—
578D4×D71—41no—
579D4×D71—41no—
580D4×D71—41no—
581D4×D71—41no—
582D4×D71—44no—
583D4×D71—44no—
584D4×D71—44no—
585D4×D71—44no—
586D4×D71—44no—
587D4×D71—44no—
588D4×D71—44no—
589D4×D71—44no—
590D4×D71—44no—
591D4×D71—44no—
592D4×D71—44no—
593D4×D71—82no—
594C22×Dic71—21no—
595C22×Dic71C2×D411yescharacteristic
596C22×Dic71C2×D411yescharacteristic
597C2×C4×D71—21no—
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—21no—
606C2×C4×D71—41no—
607C2×C4×D71—41no—
608C2×C4×D71—41no—
609C2×C4×D71—41no—
610C2×C4×D71—44no—
611C2×C4×D71C2×D411yescharacteristic
612C2×C4×D71C2×D411yescharacteristic
613C2×C4×D71C2×D411yescharacteristic
614C2×C4×D71C2×D411yescharacteristic
615C2×C4×D71C2×D411yescharacteristic
616C2×C4×D71C2×D411yescharacteristic
617C2×C4×D71C2411yescharacteristic
618C2×C4×D71C2411yescharacteristic
619C2×C4×D71C2411yescharacteristic
620#11765854—22no—
621#11765854—41no—
622#11765854—41no—
623#11765853—22no—
624#11765853—41no—
625#11765853—41no—
626#11765852—22no—
627#11765852—41no—
628#11765852—41no—
629D568—22no—
630D568—22no—
631D568—41no—
632D568—41no—
633D568—41no—
634D568—41no—
635#11765850—22no—
636#11765850—22no—
637#11765850—41no—
638#11765850—41no—
639#11765850—41no—
640#11765850—41no—
641#11765849—41no—
642#11765848—41no—
643#11765848—41no—
644C2×C71⋊C8—41no—
645C2×C71⋊C8C2411yescharacteristic
646C2×C71⋊C8C2411yescharacteristic
647C2×C71⋊C8C2411yescharacteristic
648C2×C71⋊C8C2411yescharacteristic
649C8×D71—41no—
650C8×D71—41no—
651C4⋊Dic71—21no—
652C4⋊Dic71—21no—
653C4⋊Dic71—21no—
654C4⋊Dic71C2×D411yescharacteristic
655C4⋊Dic71C2411yescharacteristic
656C4⋊Dic71C2411yescharacteristic
657Dic71⋊C4—21no—
658Dic71⋊C4—21no—
659Dic71⋊C4—21no—
660Dic71⋊C4—21no—
661Dic71⋊C4—21no—
662Dic71⋊C4—21no—
663Dic71⋊C4C2×D411yescharacteristic
664Dic71⋊C4C2×D411yescharacteristic
665C22⋊Dic71—21no—
666C22⋊Dic71—21no—
667C22⋊Dic71—21no—
668C22⋊Dic71—21no—
669C22⋊Dic71C2×D411yescharacteristic
670C22⋊Dic71C2×D411yescharacteristic
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)⋊C4—21no—
686(C2×D71)⋊C4—21no—
687(C2×D71)⋊C4—21no—
688(C2×D71)⋊C4—21no—
689(C2×D71)⋊C4—21no—
690(C2×D71)⋊C4—21no—
691(C2×D71)⋊C4—21no—
692(C2×D71)⋊C4—21no—
693(C2×D71)⋊C4C2×D411yescharacteristic
694(C2×D71)⋊C4C2×D411yescharacteristic
695(C2×D71)⋊C4C2×D411yescharacteristic
696(C2×D71)⋊C4C2×D411yescharacteristic
697C4×Dic71—21no—
698C4×Dic71—21no—
699C4×Dic71C2×D411yescharacteristic
700C4×Dic71C2×D411yescharacteristic
701C4×Dic71C2411yescharacteristic
702C24×C71—21no—
703C24×C71—21no—
704C2×Q8×C71C2411yescharacteristic
705C2×D4×C71—22no—
706C2×D4×C71—22no—
707C2×D4×C71—21no—
708C2×D4×C71—21no—
709C2×D4×C71—21no—
710C2×D4×C71—21no—
711C2×D4×C71—21no—
712C2×D4×C71—21no—
713C2×D4×C71—41no—
714C2×D4×C71—41no—
715C2×D4×C71—44no—
716C2×D4×C71C2×D411yescharacteristic
717C2×D4×C71C2411yescharacteristic
718C2×D4×C71C2411yescharacteristic
719C2×D4×C71C2411yescharacteristic
720C22×C4×C71—21no—
721C22×C4×C71—21no—
722C22×C4×C71C2411yescharacteristic
723C22×C4×C71C2411yescharacteristic
724SD16×C71—22no—
725SD16×C71—41no—
726SD16×C71—41no—
727M16×C71—41no—
728C2×C8×C71—41no—
729C2×C8×C71C2411yescharacteristic
730C2×C8×C71C2411yescharacteristic
731C2×C8×C71C2411yescharacteristic
732C2×C8×C71C2411yescharacteristic
733C4⋊C4×C71—21no—
734C4⋊C4×C71—21no—
735C4⋊C4×C71—21no—
736C4⋊C4×C71—21no—
737C4⋊C4×C71—21no—
738C4⋊C4×C71—21no—
739C4⋊C4×C71C2×D411yescharacteristic
740C4⋊C4×C71C2411yescharacteristic
741C4⋊C4×C71C2411yescharacteristic
742C4⋊C4×C71C2411yescharacteristic
743C4⋊C4×C71C2411yescharacteristic
744C22⋊C4×C71—21no—
745C22⋊C4×C71—21no—
746C22⋊C4×C71—21no—
747C22⋊C4×C71—21no—
748C22⋊C4×C71—21no—
749C22⋊C4×C71—21no—
750C22⋊C4×C71C2×D411yescharacteristic
751C22⋊C4×C71C2×D411yescharacteristic
752C42×C71—21no—
753C42×C71—21no—
754C42×C71C2411yescharacteristic
755C23×C71—21no—
756C23×C71—21no—
757C23×C71—21no—
758C23×C71—42no—
759C23×C71—42no—
760C23×C71—42no—
761C23×C71—42no—
762C23×C71—81no—
763C23×C71—81no—
764C23×C71C22×D411yescharacteristic
765C23×C71C22×D411yescharacteristic
766C22×D71—24no—
767C22×D71—21no—
768C22×D71—22no—
769C22×D71—21no—
770C22×D71—21no—
771C22×D71—21no—
772C22×D71—21no—
773C22×D71—41no—
774C22×D71—41no—
775C22×D71—41no—
776C22×D71—41no—
777C22×D71—42no—
778C22×D71—42no—
779C22×D71—42no—
780C22×D71—42no—
781C22×D71—42no—
782C22×D71—42no—
783C22×D71—42no—
784C22×D71—42no—
785C22×D71—42no—
786C22×D71—42no—
787C22×D71—42no—
788C22×D71—42no—
789C22×D71—42no—
790C22×D71—42no—
791C22×D71—42no—
792C22×D71—42no—
793C22×D71—42no—
794C22×D71—42no—
795C22×D71—42no—
796C22×D71—42no—
797C22×D71—42no—
798C22×D71—81no—
799C22×D71—81no—
800C22×D71—81no—
801C22×D71—81no—
802C22×D71—81no—
803C22×D71—81no—
804C22×D71—816no—
805C22×D71—816no—
806C22×D71—81no—
807C22×D71—81no—
808C22×D71AGL(1,ℤ/8)14yescomplemented
809C22×D71C22×D411yescharacteristic
810C22×D71C22×D411yescharacteristic
811C22×D71C22×D411yescharacteristic
812Q8×C71—21no—
813Q8×C71—21no—
814D4×C71—22no—
815D4×C71—21no—
816D4×C71—21no—
817D4×C71—21no—
818D4×C71—21no—
819D4×C71—21no—
820D4×C71—42no—
821D4×C71—42no—
822D4×C71—42no—
823D4×C71—42no—
824D4×C71—42no—
825D4×C71—81no—
826D4×C71H(5,𝔽2)12yes—
827C2×C4×C71—21no—
828C2×C4×C71—21no—
829C2×C4×C71—21no—
830C2×C4×C71—21no—
831C2×C4×C71—21no—
832C2×C4×C71—21no—
833C2×C4×C71—21no—
834C2×C4×C71—21no—
835C2×C4×C71—21no—
836C2×C4×C71—42no—
837C2×C4×C71—42no—
838C2×C4×C71C22×D411yescharacteristic
839C2×C4×C71C22×D411yescharacteristic
840C2×C4×C71C22×D411yescharacteristic
841C2×C4×C71C22×D411yescharacteristic
842C2×C4×C71C2511yescharacteristic
843C22⋊D71—24no—
844C22⋊D71—22no—
845C22⋊D71—22no—
846C22⋊D71—42no—
847C22⋊D71—42no—
848C22⋊D71—42no—
849C22⋊D71—42no—
850C22⋊D71—42no—
851C22⋊D71—42no—
852C22⋊D71—42no—
853C22⋊D71—42no—
854C22⋊D71—42no—
855C22⋊D71—42no—
856C22⋊D71—42no—
857C22⋊D71—42no—
858C22⋊D71—81no—
859C22⋊D71—81no—
860C22⋊D71—81no—
861C22⋊D71—81no—
862C2×Dic71—21no—
863C2×Dic71—21no—
864C2×Dic71—21no—
865C2×Dic71—41no—
866C2×Dic71—41no—
867C2×Dic71—42no—
868C2×Dic71C22×D411yescharacteristic
869C2×Dic71C22×D411yescharacteristic
870C2×Dic71C22×D411yescharacteristic
871C2×Dic71C22×D411yescharacteristic
872C2×Dic71C22×D411yescharacteristic
873D284—22no—
874D284—21no—
875D284—21no—
876D284—21no—
877D284—21no—
878D284—21no—
879D284—21no—
880D284—21no—
881D284—21no—
882D284—21no—
883D284—42no—
884D284—42no—
885D284—42no—
886D284—42no—
887D284—42no—
888D284—42no—
889D284—42no—
890D284—42no—
891D284—42no—
892D284—81no—
893D284—81no—
894D284—81no—
895D284—81no—
896D284H(5,𝔽2)12yes—
897C4×D71—22no—
898C4×D71—21no—
899C4×D71—21no—
900C4×D71—21no—
901C4×D71—21no—
902C4×D71—21no—
903C4×D71—21no—
904C4×D71—41no—
905C4×D71—41no—
906C4×D71—41no—
907C4×D71—41no—
908C4×D71—41no—
909C4×D71—42no—
910C4×D71—42no—
911C4×D71—42no—
912C4×D71—81no—
913C4×D71—81no—
914C4×D71—81no—
915C4×D71—81no—
916C4×D71—81no—
917C4×D71—81no—
918Dic142—21no—
919Dic142—21no—
920Dic142—81no—
921C8×C71—21no—
922C8×C71—21no—
923C8×C71—21no—
924C8×C71—21no—
925C71⋊C8—21no—
926C71⋊C8—21no—
927C71⋊C8—21no—
928C71⋊C8—21no—
929C22×C71—21no—
930C22×C71—21no—
931C22×C71—21no—
932C22×C71—21no—
933C22×C71—22no—
934C22×C71—21no—
935C22×C71—41no—
936C22×C71—41no—
937C22×C71—41no—
938C22×C71—41no—
939C22×C71—41no—
940C22×C71—41no—
941C22×C71—41no—
942C22×C71—41no—
943C22×C71—84no—
944C22×C71—84no—
945C22×C71C2×AGL(1,ℤ/8)12yes—
946C22×C71C23×D411yescharacteristic
947C2×D71—21no—
948C2×D71—21no—
949C2×D71—21no—
950C2×D71—21no—
951C2×D71—21no—
952C2×D71—21no—
953C2×D71—22no—
954C2×D71—21no—
955C2×D71—44no—
956C2×D71—44no—
957C2×D71—48no—
958C2×D71—41no—
959C2×D71—41no—
960C2×D71—41no—
961C2×D71—41no—
962C2×D71—41no—
963C2×D71—41no—
964C2×D71—41no—
965C2×D71—41no—
966C2×D71—41no—
967C2×D71—41no—
968C2×D71—41no—
969C2×D71—41no—
970C2×D71—41no—
971C2×D71—41no—
972C2×D71—84no—
973C2×D71—84no—
974C2×D71—84no—
975C2×D71—84no—
976C2×D71—84no—
977C2×D71—84no—
978C2×D71—84no—
979C2×D71—84no—
980C2×D71—162no—
981C2×D71C2×AGL(1,ℤ/8)12yes—
982C2×D71C2×AGL(1,ℤ/8)12yes—
983C4×C71—21no—
984C4×C71—21no—
985C4×C71—21no—
986C4×C71—21no—
987C4×C71—41no—
988C4×C71—41no—
989C4×C71—41no—
990C4×C71—41no—
991C4×C71—41no—
992C4×C71C2×H(5,𝔽2)11yescharacteristic
993C4×C71C2×H(5,𝔽2)11yescharacteristic
994Dic71—21no—
995Dic71—21no—
996Dic71—21no—
997Dic71—21no—
998Dic71—21no—
999Dic71—41no—
1000Dic71—41no—
1001Dic71—41no—
1002#61571—711nomaximal, Sylow
1003C2×C71—22no—
1004C2×C71—41no—
1005C2×C71—42no—
1006C2×C71—81no—
1007C2×C71—81no—
1008C2×C71#348411yescharacteristic
1009C2×C71C22×AGL(1,ℤ/8)11yescharacteristic
1010C2×C71#358511yescharacteristic
1011D71—22no—
1012D71—22no—
1013D71—41no—
1014D71—42no—
1015D71—81no—
1016D71—81no—
1017D71—81no—
1018D71—81no—
1019#3505—711no—
1020C2×D42—711no—
1021#3318—711no—
1022#3318—711no—
1023#3318—711no—
1024#3318—711no—
1025#3310—711no—
1026#3310—711no—
1027#3310—711no—
1028#3310D7111yescharacteristic, complemented
1029#3265—711no—
1030#3265—711no—
1031#3265—711no—
1032#3265—711no—
1033#3264—711no—
1034#3264—711no—
1035#3264—711no—
1036#3264—711no—
1037#3217—711no—
1038#3217—711no—
1039#3194—711no—
1040#3194—711no—
1041#3187—711no—
1042#3186—711no—
1043#3114—711no—
1044#3114—711no—
1045#3003—711no—
1046#3003—711no—
1047C2×#450—711no—
1048C2×#447—711no—
1049#2973—711no—
1050C71#6157111yescharacteristic, complemented, Sylow
1051C23×D4—711no—
1052C23×D4—711no—
1053C23×D4—1421no—
1054C2×AGL(1,ℤ/8)—711no—
1055C2×AGL(1,ℤ/8)—711no—
1056C2×AGL(1,ℤ/8)—711no—
1057C2×AGL(1,ℤ/8)—711no—
1058C22×SD16—711no—
1059C22×SD16—711no—
1060C22×D8—711no—
1061C22×D8—711no—
1062#553—711no—
1063#553—711no—
1064#553—1421no—
1065#553—1421no—
1066#552—711no—
1067#552C2×D7111yescharacteristic, complemented
1068#551—1421no—
1069#551—1421no—
1070#548—711no—
1071#548—711no—
1072#546—711no—
1073#546—711no—
1074D42—711no—
1075D42—711no—
1076D42—711no—
1077D42—711no—
1078D42—711no—
1079D42—711no—
1080D42—711no—
1081D42—1421no—
1082D42—1421no—
1083D42—1421no—
1084D42—1421no—
1085D42C2×D7111yescharacteristic
1086#539—1421no—
1087#538—1421no—
1088#534—1421no—
1089C2×#127—711no—
1090#529—711no—
1091#529—711no—
1092#525—711no—
1093#525—711no—
1094C2×C22⋊Q8—711no—
1095C2×#121—711no—
1096C2×#121—711no—
1097C2×#121—711no—
1098C2×#121—1421no—
1099C2×#120—1421no—
1100C2×#120—1421no—
1101#518—1421no—
1102C2×C4×D4—711no—
1103C2×C4×D4—711no—
1104#496—711no—
1105#496—711no—
1106#496—711no—
1107#496—711no—
1108#490—711no—
1109#490—711no—
1110#490—711no—
1111#490C2×D7111yescharacteristic, complemented
1112#483—711no—
1113#483—711no—
1114#482—711no—
1115#482—711no—
1116#482—711no—
1117#482C2×D7111yescharacteristic, complemented
1118#481—711no—
1119#481—711no—
1120#480—711no—
1121#480—711no—
1122#480—711no—
1123#480C2×D7111yescharacteristic, complemented
1124#478—711no—
1125#478—711no—
1126#478—711no—
1127#478C2×D7111yescharacteristic, complemented
1128#469—711no—
1129#469—711no—
1130#469—711no—
1131#469—711no—
1132#468—711no—
1133#468—711no—
1134#468—711no—
1135#468C2×D7111yescharacteristic, complemented
1136#466—711no—
1137#466—711no—
1138#466—711no—
1139#466—711no—
1140#465—711no—
1141#465—711no—
1142#465—711no—
1143#465C2×D7111yescharacteristic, complemented
1144#463—711no—
1145#463—711no—
1146#463—711no—
1147#463—711no—
1148#460—711no—
1149#460—711no—
1150#460—711no—
1151#460C2×D7111yescharacteristic, complemented
1152#459—711no—
1153#459—711no—
1154#459—711no—
1155#459—711no—
1156#450—711no—
1157#450—711no—
1158#450—711no—
1159#450—711no—
1160#450—711no—
1161#450—711no—
1162#450—711no—
1163#450—711no—
1164#450—711no—
1165#450—711no—
1166#450—711no—
1167#450—711no—
1168#450C2×D7111yescharacteristic, complemented
1169#450C2×D7111yescharacteristic, complemented
1170#449—711no—
1171#449—711no—
1172#449—711no—
1173#449—711no—
1174#448—711no—
1175#448—711no—
1176#447—711no—
1177#447—711no—
1178#447—711no—
1179#447—711no—
1180#447—711no—
1181#447—711no—
1182#447—711no—
1183#447—711no—
1184#447—711no—
1185#447—711no—
1186#447—711no—
1187#447—711no—
1188#447—711no—
1189#447—711no—
1190#447—711no—
1191#447—711no—
1192#442—711no—
1193#442—711no—
1194#442—711no—
1195#442—711no—
1196#440—711no—
1197#440—711no—
1198#440—711no—
1199#440C2×D7111yescharacteristic, complemented
1200#435—711no—
1201#435—711no—
1202#435—711no—
1203#435—711no—
1204#435—711no—
1205#435—711no—
1206#435—711no—
1207#435C2×D7111yescharacteristic, complemented
1208#432—711no—
1209#432—711no—
1210#418—711no—
1211#418—711no—
1212#418—711no—
1213#418C2×D7111yescharacteristic, complemented
1214C2×#102—711no—
1215C2×#102—711no—
1216C2×#102—711no—
1217C2×#102C2×D7111yescharacteristic, complemented
1218#407—711no—
1219#407—711no—
1220C2×C22⋊C8—711no—
1221C2×C22⋊C8—711no—
1222C25—1421no—
1223C25—1421no—
1224C2×#41—711no—
1225C2×#41—711no—
1226C22×Q8—711no—
1227C22×D4—21no—
1228C22×D4—2842no—
1229C22×D4—2842no—
1230C22×D4—2848no—
1231C22×D4—2842no—
1232C22×D4—2842no—
1233C22×D4—711no—
1234C22×D4—711no—
1235C22×D4—711no—
1236C22×D4—711no—
1237C22×D4—711no—
1238C22×D4—711no—
1239C22×D4—711no—
1240C22×D4—711no—
1241C22×D4—711no—
1242C22×D4—711no—
1243C22×D4—711no—
1244C22×D4—1421no—
1245C22×D4—1421no—
1246C22×D4—1421no—
1247C22×D4—1421no—
1248C22×D4—1421no—
1249C22×D4—1421no—
1250C22×D4—1421no—
1251C22×D4—1421no—
1252C22×D4—1421no—
1253C22×D4—1421no—
1254C22×D4—1421no—
1255C22×D4—1421no—
1256C22×D4—1421no—
1257C22×D4—1421no—
1258C22×D4—1421no—
1259C22×D4—1421no—
1260C22×D4—1421no—
1261C22×D4—1421no—
1262C22×D4C22×D7111yescharacteristic
1263C22×D4C22×D7111yescharacteristic
1264C23×C4—711no—
1265C23×C4—711no—
1266C23×C4—1421no—
1267AGL(1,ℤ/8)—2842no—
1268AGL(1,ℤ/8)—2842no—
1269AGL(1,ℤ/8)—2842no—
1270AGL(1,ℤ/8)—2842no—
1271C2×SD16—2842no—
1272C2×SD16—2842no—
1273C2×SD16—711no—
1274C2×SD16—711no—
1275C2×SD16—711no—
1276C2×SD16—711no—
1277C2×SD16—711no—
1278C2×SD16—711no—
1279C2×SD16—711no—
1280C2×SD16—711no—
1281C2×SD16—711no—
1282C2×SD16C22×D7111yescharacteristic
1283C2×SD16C22×D7111yescharacteristic, complemented
1284C2×SD16C22×D7111yescharacteristic, complemented
1285C2×D8—2842no—
1286C2×D8—2842no—
1287C2×D8—711no—
1288C2×D8—711no—
1289C2×D8—711no—
1290C2×D8—711no—
1291C2×D8—711no—
1292C2×D8—711no—
1293C2×D8—711no—
1294C2×D8—711no—
1295C2×D8—711no—
1296C2×D8—711no—
1297C2×D8—711no—
1298C2×D8—711no—
1299C2×M16—711no—
1300C2×M16—711no—
1301C2×M16—711no—
1302C2×M16C22×D7111yescharacteristic, complemented
1303C22×C8—711no—
1304C22×C8—711no—
1305C22×C8—711no—
1306C22×C8C22×D7111yescharacteristic, complemented
1307#127—711no—
1308#127—711no—
1309#127—711no—
1310#127—1421no—
1311#127—1421no—
1312#127C22×D7111yescharacteristic
1313#126—21no—
1314#126—1421no—
1315#126—1421no—
1316#126—1421no—
1317#126—1421no—
1318#126—1421no—
1319#125—21no—
1320#125—711no—
1321#125—1421no—
1322#125C22×D7111yescharacteristic, complemented
1323#124—711no—
1324#124—711no—
1325#124—1421no—
1326#124—1421no—
1327#123—21no—
1328#123—1421no—
1329#123—1421no—
1330#123—1421no—
1331#123—1421no—
1332#123—1421no—
1333#123—1421no—
1334#123—1421no—
1335#123—1421no—
1336#123—1421no—
1337C22⋊Q8—711no—
1338C22⋊Q8—711no—
1339C22⋊Q8—711no—
1340C22⋊Q8—711no—
1341C22⋊Q8—1421no—
1342C22⋊Q8—1421no—
1343C22⋊Q8—1421no—
1344C22⋊Q8—1421no—
1345C22⋊Q8C22×D7111yescharacteristic, complemented
1346C22⋊Q8C22×D7111yescharacteristic, complemented
1347#121—21no—
1348#121—711no—
1349#121—711no—
1350#121—711no—
1351#121—711no—
1352#121—711no—
1353#121—711no—
1354#121—711no—
1355#121—711no—
1356#121—711no—
1357#121—711no—
1358#121—711no—
1359#121—711no—
1360#121—1421no—
1361#121—1421no—
1362#121—1421no—
1363#121—1421no—
1364#121—1421no—
1365#121—1421no—
1366#121—1421no—
1367#121—1421no—
1368#121—1421no—
1369#121—1421no—
1370#121—1421no—
1371#121—1421no—
1372#121—1421no—
1373#121—1421no—
1374#121—1421no—
1375#121—1421no—
1376#121—1421no—
1377#121—1421no—
1378#121—1421no—
1379#121C22×D7111yescharacteristic
1380#121C22×D7111yescharacteristic
1381#120—21no—
1382#120—21no—
1383#120—1421no—
1384#120—1421no—
1385#120—1421no—
1386#120—1421no—
1387#120—1421no—
1388#120—1421no—
1389#120—1421no—
1390#120—1421no—
1391#120—1421no—
1392#120—1421no—
1393#120—1421no—
1394#120—1421no—
1395#120—1421no—
1396#120—1421no—
1397#120—1421no—
1398#120—1421no—
1399#120—1421no—
1400#120—1421no—
1401C4×Q8—711no—
1402C4×Q8C22×D7111yescharacteristic, complemented
1403C4×D4—711no—
1404C4×D4—711no—
1405C4×D4—711no—
1406C4×D4—711no—
1407C4×D4—711no—
1408C4×D4—711no—
1409C4×D4—711no—
1410C4×D4—711no—
1411C4×D4—711no—
1412C4×D4—711no—
1413C4×D4—711no—
1414C4×D4—711no—
1415C4×D4—1421no—
1416C4×D4—1421no—
1417C4×D4—1421no—
1418C4×D4—1421no—
1419C4×D4—1421no—
1420C4×D4—1421no—
1421C4×D4—1421no—
1422C4×D4—1421no—
1423C4×D4—1421no—
1424C4×D4—1421no—
1425C4×D4—1421no—
1426C4×D4—1421no—
1427C4×D4C22×D7111yescharacteristic
1428C4×D4C22×D7111yescharacteristic
1429#117—21no—
1430#117—711no—
1431#117—1421no—
1432#117—1421no—
1433#117—1421no—
1434#117C22×D7111yescharacteristic, complemented
1435C2×C4⋊C4—711no—
1436C2×C4⋊C4—711no—
1437C2×C4⋊C4—711no—
1438C2×C4⋊C4—1421no—
1439C2×C4⋊C4C22×D7111yescharacteristic, complemented
1440C2×C22⋊C4—711no—
1441C2×C22⋊C4—711no—
1442C2×C22⋊C4—1421no—
1443C2×C22⋊C4—1421no—
1444C2×C22⋊C4—1421no—
1445C2×C22⋊C4—1421no—
1446C2×C22⋊C4—1421no—
1447C2×C22⋊C4—1421no—
1448C2×C22⋊C4—1421no—
1449C2×C42—711no—
1450#107—711no—
1451#107—711no—
1452#107C22×D7111yescharacteristic, complemented
1453#107C22×D7111yescharacteristic, complemented
1454#106—711no—
1455#106—711no—
1456#106—711no—
1457#106C22×D7111yescharacteristic, complemented
1458C4⋊C8—711no—
1459C4⋊C8—711no—
1460C4⋊C8—711no—
1461C4⋊C8C22×D7111yescharacteristic, complemented
1462#103—711no—
1463#103—711no—
1464#103—711no—
1465#103C22×D7111yescharacteristic, complemented
1466#102—711no—
1467#102—711no—
1468#102—711no—
1469#102—711no—
1470#102—711no—
1471#102—711no—
1472#102—711no—
1473#102—711no—
1474#102—711no—
1475#102—711no—
1476#102—711no—
1477#102—711no—
1478#102—711no—
1479#102—711no—
1480#102—711no—
1481#102—711no—
1482#102—711no—
1483#102—711no—
1484#102—711no—
1485#102C22×D7111yescharacteristic
1486#102C22×D7111yescharacteristic
1487#102C22×D7111yescharacteristic
1488#102C22×D7111yescharacteristic, complemented
1489#102C22×D7111yescharacteristic, complemented
1490#102C22×D7111yescharacteristic, complemented
1491#102C22×D7111yescharacteristic, complemented
1492#102C22×D7111yescharacteristic, complemented
1493#102C22×D7111yescharacteristic, complemented
1494C22⋊C8—711no—
1495C22⋊C8—711no—
1496C22⋊C8—711no—
1497C22⋊C8—711no—
1498C22⋊C8—711no—
1499C22⋊C8—711no—
1500C22⋊C8—711no—
1501C22⋊C8—711no—
1502C22⋊C8—711no—
1503C22⋊C8—711no—
1504C22⋊C8C22×D7111yescharacteristic, complemented
1505C22⋊C8C22×D7111yescharacteristic, complemented
1506#97—711no—
1507#97—711no—
1508#97—711no—
1509#97C22×D7111yescharacteristic, complemented
1510C24—21no—
1511C24—21no—
1512C24—2844no—
1513C24—2844no—
1514C24—2844no—
1515C24—2844no—
1516C24—5682no—
1517C24—5682no—
1518C24—711no—
1519C24—711no—
1520C24—1421no—
1521C24—1421no—
1522C24—1421no—
1523C24—1421no—
1524C24—1421no—
1525C24—1421no—
1526C24—1421no—
1527C24—1421no—
1528C24—1421no—
1529C24—1421no—
1530#41—2841no—
1531#41—2841no—
1532#41—2841no—
1533#41—2841no—
1534C2×Q8—2841no—
1535C2×Q8—2841no—
1536C2×Q8—711no—
1537C2×Q8—1421no—
1538C2×Q8C23×D7111yescharacteristic
1539C2×D4—22no—
1540C2×D4—22no—
1541C2×D4—21no—
1542C2×D4—21no—
1543C2×D4—21no—
1544C2×D4—21no—
1545C2×D4—21no—
1546C2×D4—21no—
1547C2×D4—41no—
1548C2×D4—41no—
1549C2×D4—44no—
1550C2×D4—2841no—
1551C2×D4—2841no—
1552C2×D4—2841no—
1553C2×D4—2841no—
1554C2×D4—2844no—
1555C2×D4—2844no—
1556C2×D4—2844no—
1557C2×D4—2844no—
1558C2×D4—2844no—
1559C2×D4—2844no—
1560C2×D4—2844no—
1561C2×D4—2844no—
1562C2×D4—2844no—
1563C2×D4—2844no—
1564C2×D4—2844no—
1565C2×D4—2844no—
1566C2×D4—2844no—
1567C2×D4—2844no—
1568C2×D4—2844no—
1569C2×D4—2844no—
1570C2×D4—2841no—
1571C2×D4—2841no—
1572C2×D4—2841no—
1573C2×D4—2841no—
1574C2×D4—2841no—
1575C2×D4—2841no—
1576C2×D4—2841no—
1577C2×D4—2841no—
1578C2×D4—2844no—
1579C2×D4—5682no—
1580C2×D4—711no—
1581C2×D4—711no—
1582C2×D4—711no—
1583C2×D4—711no—
1584C2×D4—711no—
1585C2×D4—711no—
1586C2×D4—711no—
1587C2×D4—711no—
1588C2×D4—1421no—
1589C2×D4—1421no—
1590C2×D4—1421no—
1591C2×D4—1421no—
1592C2×D4—1421no—
1593C2×D4—1421no—
1594C2×D4—1422no—
1595C2×D4—1422no—
1596C2×D4—1421no—
1597C2×D4—1421no—
1598C2×D4—1421no—
1599C2×D4—1421no—
1600C2×D4—1421no—
1601C2×D4—1421no—
1602C2×D4—1421no—
1603C2×D4—1421no—
1604C2×D4—1421no—
1605C2×D4—1421no—
1606C2×D4—1421no—
1607C2×D4—1421no—
1608C2×D4—1421no—
1609C2×D4—1422no—
1610C2×D4—1422no—
1611C2×D4—1422no—
1612C2×D4—1424no—
1613C2×D4—1421no—
1614C2×D4—1421no—
1615C2×D4—1421no—
1616C2×D4—1421no—
1617C2×D4—1422no—
1618C2×D4—1422no—
1619C2×D4—1421no—
1620C2×D4—1421no—
1621C2×D4—1422no—
1622C2×D4—1421no—
1623C2×D4—1421no—
1624C2×D4—1421no—
1625C2×D4—1421no—
1626C2×D4—1421no—
1627C2×D4D4×D7111yescharacteristic
1628C2×D4C23×D7111yescharacteristic
1629C2×D4C23×D7111yescharacteristic
1630C2×D4C23×D7111yescharacteristic
1631C22×C4—21no—
1632C22×C4—21no—
1633C22×C4—2841no—
1634C22×C4—2841no—
1635C22×C4—2841no—
1636C22×C4—2841no—
1637C22×C4—2844no—
1638C22×C4—711no—
1639C22×C4—711no—
1640C22×C4—711no—
1641C22×C4—711no—
1642C22×C4—711no—
1643C22×C4—711no—
1644C22×C4—711no—
1645C22×C4—711no—
1646C22×C4—711no—
1647C22×C4—711no—
1648C22×C4—711no—
1649C22×C4—1421no—
1650C22×C4—1421no—
1651C22×C4—1421no—
1652C22×C4—1421no—
1653C22×C4—1421no—
1654C22×C4—1421no—
1655C22×C4—1421no—
1656C22×C4—1421no—
1657C22×C4—1421no—
1658C22×C4—1421no—
1659C22×C4C23×D7111yescharacteristic
1660C22×C4C23×D7111yescharacteristic
1661SD16—22no—
1662SD16—41no—
1663SD16—41no—
1664SD16—2841no—
1665SD16—2841no—
1666SD16—2841no—
1667SD16—2841no—
1668SD16—2841no—
1669SD16—2841no—
1670SD16—1422no—
1671SD16—1422no—
1672SD16—1422no—
1673D8—2841no—
1674D8—2841no—
1675D8—2841no—
1676D8—2841no—
1677D8—2841no—
1678D8—2841no—
1679D8—2841no—
1680D8—2841no—
1681D8—1422no—
1682D8—1422no—
1683D8—1422no—
1684D8—1422no—
1685M16—41no—
1686M16—2841no—
1687M16—2841no—
1688M16—2841no—
1689C2×C8—41no—
1690C2×C8—2841no—
1691C2×C8—2841no—
1692C2×C8—2841no—
1693C2×C8—711no—
1694C2×C8—711no—
1695C2×C8—711no—
1696C2×C8—711no—
1697C2×C8C23×D7111yescharacteristic
1698C2×C8C23×D7111yescharacteristic
1699C2×C8C23×D7111yescharacteristic
1700C2×C8C23×D7111yescharacteristic
1701C4⋊C4—21no—
1702C4⋊C4—21no—
1703C4⋊C4—21no—
1704C4⋊C4—21no—
1705C4⋊C4—21no—
1706C4⋊C4—21no—
1707C4⋊C4—711no—
1708C4⋊C4—711no—
1709C4⋊C4—711no—
1710C4⋊C4—711no—
1711C4⋊C4—711no—
1712C4⋊C4—1421no—
1713C4⋊C4—1421no—
1714C4⋊C4—1421no—
1715C4⋊C4—1421no—
1716C4⋊C4—1421no—
1717C4⋊C4—1421no—
1718C4⋊C4—1421no—
1719C4⋊C4—1421no—
1720C4⋊C4—1421no—
1721C4⋊C4D4×D7111yescharacteristic
1722C4⋊C4C23×D7111yescharacteristic
1723C4⋊C4C23×D7111yescharacteristic
1724C4⋊C4C23×D7111yescharacteristic
1725C4⋊C4C23×D7111yescharacteristic
1726C22⋊C4—21no—
1727C22⋊C4—21no—
1728C22⋊C4—21no—
1729C22⋊C4—21no—
1730C22⋊C4—21no—
1731C22⋊C4—21no—
1732C22⋊C4—711no—
1733C22⋊C4—711no—
1734C22⋊C4—711no—
1735C22⋊C4—711no—
1736C22⋊C4—711no—
1737C22⋊C4—711no—
1738C22⋊C4—1421no—
1739C22⋊C4—1421no—
1740C22⋊C4—1421no—
1741C22⋊C4—1421no—
1742C22⋊C4—1421no—
1743C22⋊C4—1421no—
1744C22⋊C4—1421no—
1745C22⋊C4—1421no—
1746C22⋊C4—1421no—
1747C22⋊C4—1421no—
1748C22⋊C4—1421no—
1749C22⋊C4—1421no—
1750C22⋊C4—1421no—
1751C22⋊C4—1421no—
1752C22⋊C4—1421no—
1753C22⋊C4—1421no—
1754C22⋊C4—1421no—
1755C22⋊C4—1421no—
1756C22⋊C4—1421no—
1757C22⋊C4—1421no—
1758C22⋊C4—1421no—
1759C22⋊C4—1421no—
1760C22⋊C4—1421no—
1761C22⋊C4—1421no—
1762C22⋊C4—1421no—
1763C22⋊C4—1421no—
1764C22⋊C4D4×D7111yescharacteristic
1765C22⋊C4D4×D7111yescharacteristic
1766C42—21no—
1767C42—21no—
1768C42—711no—
1769C42—711no—
1770C42—711no—
1771C42—1421no—
1772C42—1421no—
1773C42C23×D7111yescharacteristic
1774C23—21no—
1775C23—21no—
1776C23—21no—
1777C23—42no—
1778C23—42no—
1779C23—42no—
1780C23—42no—
1781C23—81no—
1782C23—81no—
1783C23—2841no—
1784C23—2841no—
1785C23—2841no—
1786C23—2841no—
1787C23—2842no—
1788C23—2842no—
1789C23—2842no—
1790C23—2842no—
1791C23—2842no—
1792C23—2842no—
1793C23—2842no—
1794C23—2842no—
1795C23—2842no—
1796C23—2842no—
1797C23—2842no—
1798C23—2842no—
1799C23—2842no—
1800C23—2842no—
1801C23—2842no—
1802C23—2842no—
1803C23—2842no—
1804C23—2842no—
1805C23—2842no—
1806C23—2842no—
1807C23—2842no—
1808C23—5681no—
1809C23—5681no—
1810C23—5681no—
1811C23—5681no—
1812C23—5681no—
1813C23—5681no—
1814C23—5681no—
1815C23—5681no—
1816C23—56816no—
1817C23—56816no—
1818C23—714no—
1819C23—711no—
1820C23—711no—
1821C23—711no—
1822C23—1422no—
1823C23—1424no—
1824C23—1421no—
1825C23—1421no—
1826C23—1421no—
1827C23—1421no—
1828C23—1421no—
1829C23C2×D4×D7111yescharacteristic
1830C23C2×D4×D7111yescharacteristic
1831Q8—21no—
1832Q8—21no—
1833Q8—5681no—
1834Q8—1421no—
1835Q8—1421no—
1836D4—22no—
1837D4—21no—
1838D4—21no—
1839D4—21no—
1840D4—21no—
1841D4—21no—
1842D4—42no—
1843D4—42no—
1844D4—42no—
1845D4—42no—
1846D4—42no—
1847D4—81no—
1848D4—2842no—
1849D4—2842no—
1850D4—2842no—
1851D4—2842no—
1852D4—2842no—
1853D4—2842no—
1854D4—2842no—
1855D4—2842no—
1856D4—2842no—
1857D4—2842no—
1858D4—2842no—
1859D4—2842no—
1860D4—2842no—
1861D4—2842no—
1862D4—2842no—
1863D4—2842no—
1864D4—2842no—
1865D4—2842no—
1866D4—2842no—
1867D4—2842no—
1868D4—2842no—
1869D4—5681no—
1870D4—5681no—
1871D4—5681no—
1872D4—5681no—
1873D4—5681no—
1874D4—5681no—
1875D4—5681no—
1876D4—5681no—
1877D4—712no—
1878D4—1422no—
1879D4—1422no—
1880D4—1424no—
1881D4—1422no—
1882D4—1421no—
1883D4—1421no—
1884D4—1421no—
1885D4—1421no—
1886D4—1421no—
1887D4—1421no—
1888D4—1421no—
1889D4—1421no—
1890D4—1421no—
1891D4#1455617412yes—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—42no—
1902C2×C4—42no—
1903C2×C4—2842no—
1904C2×C4—2841no—
1905C2×C4—2841no—
1906C2×C4—2841no—
1907C2×C4—2841no—
1908C2×C4—2841no—
1909C2×C4—2842no—
1910C2×C4—2842no—
1911C2×C4—2842no—
1912C2×C4—2841no—
1913C2×C4—2841no—
1914C2×C4—5681no—
1915C2×C4—5681no—
1916C2×C4—5681no—
1917C2×C4—5681no—
1918C2×C4—5681no—
1919C2×C4—5681no—
1920C2×C4—711no—
1921C2×C4—711no—
1922C2×C4—711no—
1923C2×C4—711no—
1924C2×C4—711no—
1925C2×C4—1422no—
1926C2×C4—1421no—
1927C2×C4—1421no—
1928C2×C4—1421no—
1929C2×C4—1421no—
1930C2×C4—1421no—
1931C2×C4—1421no—
1932C2×C4—1421no—
1933C2×C4—1421no—
1934C2×C4—1421no—
1935C2×C4C2×D4×D7111yescharacteristic
1936C2×C4C2×D4×D7111yescharacteristic
1937C2×C4C2×D4×D7111yescharacteristic
1938C2×C4C2×D4×D7111yescharacteristic
1939C2×C4C24×D7111yescharacteristic
1940C8—21no—
1941C8—21no—
1942C8—21no—
1943C8—21no—
1944C8—1421no—
1945C8—1421no—
1946C8—1421no—
1947C8—1421no—
1948C22—21no—
1949C22—21no—
1950C22—21no—
1951C22—21no—
1952C22—21no—
1953C22—22no—
1954C22—41no—
1955C22—41no—
1956C22—41no—
1957C22—41no—
1958C22—41no—
1959C22—41no—
1960C22—41no—
1961C22—41no—
1962C22—84no—
1963C22—84no—
1964C22—2844no—
1965C22—2844no—
1966C22—2848no—
1967C22—2841no—
1968C22—2841no—
1969C22—2841no—
1970C22—2841no—
1971C22—2841no—
1972C22—2841no—
1973C22—2841no—
1974C22—2841no—
1975C22—2841no—
1976C22—2841no—
1977C22—2841no—
1978C22—2841no—
1979C22—2841no—
1980C22—2841no—
1981C22—5684no—
1982C22—5684no—
1983C22—5684no—
1984C22—5684no—
1985C22—5684no—
1986C22—5684no—
1987C22—5684no—
1988C22—5684no—
1989C22—712no—
1990C22—712no—
1991C22—11362no—
1992C22—1421no—
1993C22—1421no—
1994C22—1421no—
1995C22—1422no—
1996C22—1421no—
1997C22—1421no—
1998C22—1421no—
1999C22—1421no—
2000C22AGL(1,ℤ/8)×D7112yes—
2001C22C22×D4×D7111yescharacteristic
2002C4—21no—
2003C4—21no—
2004C4—21no—
2005C4—21no—
2006C4—41no—
2007C4—41no—
2008C4—41no—
2009C4—41no—
2010C4—41no—
2011C4—2841no—
2012C4—2841no—
2013C4—2841no—
2014C4—1421no—
2015C4—1421no—
2016C4—1421no—
2017C4—1421no—
2018C4—1421no—
2019C4H(5,𝔽2)×D7111yescharacteristic
2020C4C2×#1455617411yescharacteristic
2021C2—22no—
2022C2—41no—
2023C2—42no—
2024C2—81no—
2025C2—81no—
2026C2—2842no—
2027C2—2841no—
2028C2—5681no—
2029C2—5681no—
2030C2—5681no—
2031C2—5681no—
2032C2—1422no—
2033C2—1422no—
2034C2#2260197011yescharacteristic
2035C2C2×AGL(1,ℤ/8)×D7111yescharacteristic
2036C2#2260311811yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3310C2
socleC22×C71C23×D4
hypercenter#3310D71
hypocenterC71#61571
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22602180C2semidirect
2. D42×D71C2semidirect
3. #22600484C2semidirect
4. #22600482C2semidirect
5. #22600480C2semidirect
6. #22600478C2semidirect
7. #22600359C2semidirect
8. #22600357C2semidirect
9. #22600355C2semidirect
10. #22599842C2semidirect
11. #22599837C2semidirect
12. #22599833C2semidirect
13. #22599830C2semidirect
14. #22599825C2semidirect
15. #22599824C2semidirect
16. #22599817C2semidirect
17. #22599816C2semidirect
18. #22599362C2semidirect
19. #22599359C2semidirect
20. #22599158C2semidirect
21. #22599155C2semidirect
22. #22599092C2semidirect
23. #22599090C2semidirect
24. #22598483C2semidirect
25. #22598482C2semidirect
26. #22597569C2semidirect
27. #22597568C2semidirect
28. #450×D71C2semidirect
29. C2×#17986134C2semidirect
30. #22597365C2semidirect
31. C71×#3310C2semidirect
34. C22×D4×D71C22semidirect
35. C2×#14556156C22semidirect
36. C2×#14556155C22semidirect
37. C2×#14556155C22semidirect
38. C2×#14556154C22semidirect
39. C2×SD16×D71C22semidirect
40. C2×SD16×D71C22semidirect
41. C22×D568C22semidirect
42. C22×#11765850C22semidirect
44. #17986702C22semidirect
46. #17986693C22semidirect
47. #17986684C22semidirect
50. #17986661C22semidirect
51. #17986659C22semidirect
52. #17986645C22semidirect
53. #17986640C22semidirect
55. D4×D284C22semidirect
56. #17986634C22semidirect
59. #17986633C22semidirect
62. D4×C22⋊D71C22semidirect
68. #127×D71C22semidirect
69. #17986536C22semidirect
70. #17986534C22semidirect
71. #17986512C22semidirect
72. #17986511C22semidirect
73. C22⋊Q8×D71C22semidirect
74. C2×#14556103C22semidirect
77. #121×D71C22semidirect
82. C4×D4×D71C22semidirect
83. #17986388C22semidirect
84. #17986386C22semidirect
85. #17986385C22semidirect
86. #17986385C22semidirect
87. #17986365C22semidirect
88. #17986362C22semidirect
89. #17986362C22semidirect
90. #17986331C22semidirect
91. #17986328C22semidirect
92. #17986326C22semidirect
93. #17986323C22semidirect
94. #17986322C22semidirect
95. #17986319C22semidirect
96. #17986316C22semidirect
97. #17986314C22semidirect
98. #17986314C22semidirect
99. #17986312C22semidirect
100. #17986302C22semidirect
101. #17986301C22semidirect
102. #17986296C22semidirect
103. #17986253C22semidirect
104. #17986252C22semidirect
105. #17986251C22semidirect
106. #17986250C22semidirect
107. #17986247C22semidirect
108. #17986246C22semidirect
109. #17986244C22semidirect
110. #17986236C22semidirect
111. #17986236C22semidirect
112. #17986234C22semidirect
113. #17986234C22semidirect
114. #17986230C22semidirect
115. #17986228C22semidirect
116. #17986226C22semidirect
117. #17986217C22semidirect
118. #17986216C22semidirect
119. #17986215C22semidirect
120. #17986214C22semidirect
121. #17986199C22semidirect
122. #17986198C22semidirect
123. #17986198C22semidirect
124. #17986195C22semidirect
125. #17986193C22semidirect
126. #17986193C22semidirect
127. #17986191C22semidirect
128. #17986152C22semidirect
129. #17986151C22semidirect
130. #17986151C22semidirect
131. #17986151C22semidirect
132. #17986151C22semidirect
133. #17986151C22semidirect
134. #17986150C22semidirect
135. #17986149C22semidirect
136. #17986149C22semidirect
137. #17986148C22semidirect
138. #17986148C22semidirect
139. #17986148C22semidirect
140. #17986147C22semidirect
141. #17986146C22semidirect
142. #17986143C22semidirect
143. #17986142C22semidirect
144. #17986139C22semidirect
145. #17986136C22semidirect
146. #17986135C22semidirect
147. #17986135C22semidirect
150. #17986134C22semidirect
151. #17986134C22semidirect
152. #17986134C22semidirect
153. #17986134C22semidirect
154. #17986134C22semidirect
155. #17986134C22semidirect
156. #17986134C22semidirect
157. #17986134C22semidirect
158. #17986134C22semidirect
159. #17986134C22semidirect
160. #17986133C22semidirect
161. #17986132C22semidirect
162. #17986112C22semidirect
163. #17986110C22semidirect
164. #17986109C22semidirect
165. #17986108C22semidirect
166. #17986098C22semidirect
167. #17986097C22semidirect
168. #17986096C22semidirect
169. #17986073C22semidirect
170. #17986072C22semidirect
171. #17986071C22semidirect
172. #17986070C22semidirect
173. #17986069C22semidirect
174. #17986068C22semidirect
175. #17986067C22semidirect
176. #17986055C22semidirect
177. #17986054C22semidirect
178. #17986003C22semidirect
179. #17986002C22semidirect
180. #17986002C22semidirect
181. C2×#14556048C22semidirect
182. #102×D71C22semidirect
183. #102×D71C22semidirect
184. #17985962C22semidirect
185. #17985961C22semidirect
186. C2×(C2×D71)⋊C8C22semidirect
187. C22⋊C8×D71C22semidirect
188. #552×C71C22semidirect
190. #490×C71C22semidirect
191. #482×C71C22semidirect
192. #480×C71C22semidirect
193. #478×C71C22semidirect
194. #468×C71C22semidirect
195. #465×C71C22semidirect
196. #460×C71C22semidirect
197. #450×C71C22semidirect
198. #450×C71C22semidirect
199. #440×C71C22semidirect
200. #435×C71C22semidirect
201. #418×C71C22semidirect
202. C2×#102×C71C22semidirect
205. C2×#11765866C23semidirect
206. C2×#11765865C23semidirect
207. C2×Q8×D71C23semidirect
212. C22×D284C23semidirect
250. C2×#11765854C23semidirect
251. C2×#11765854C23semidirect
253. C2×#11765853C23semidirect
254. C2×#11765853C23semidirect
256. C2×#11765852C23semidirect
257. C2×#11765852C23semidirect
263. C2×D568C23semidirect
264. C2×D568C23semidirect
265. C2×D568C23semidirect
266. C2×D568C23semidirect
270. C2×#11765850C23semidirect
271. C2×#11765850C23semidirect
272. C2×#11765850C23semidirect
273. C2×#11765850C23semidirect
274. C2×#11765849C23semidirect
275. C2×#11765848C23semidirect
276. C2×#11765848C23semidirect
277. C22×C71⋊C8C23semidirect
278. C2×C8×D71C23semidirect
279. C2×C8×D71C23semidirect
290. #14556119C23semidirect
292. #14556117C23semidirect
294. #14556116C23semidirect
307. #14556108C23semidirect
308. #14556107C23semidirect
323. #14556103C23semidirect
324. #14556103C23semidirect
325. #14556103C23semidirect
329. #14556102C23semidirect
362. #14556093C23semidirect
370. C4×D284C23semidirect
379. #14556090C23semidirect
389. #14556086C23semidirect
394. C4⋊C4×D71C23semidirect
405. #14556061C23semidirect
406. #14556061C23semidirect
407. #14556060C23semidirect
408. #14556059C23semidirect
409. #14556059C23semidirect
410. C4⋊(C71⋊C8)C23semidirect
411. Dic71⋊C8C23semidirect
412. Dic71⋊C8C23semidirect
413. #14556053C23semidirect
414. #14556052C23semidirect
415. #14556051C23semidirect
417. #14556050C23semidirect
418. #14556050C23semidirect
419. #14556050C23semidirect
420. #14556050C23semidirect
422. #14556049C23semidirect
423. #14556049C23semidirect
427. #14556048C23semidirect
428. #14556048C23semidirect
429. #14556048C23semidirect
430. #14556048C23semidirect
431. #14556048C23semidirect
432. #14556048C23semidirect
433. #14556048C23semidirect
434. #14556048C23semidirect
435. C22⋊(C71⋊C8)C23semidirect
436. C22⋊(C71⋊C8)C23semidirect
441. (C2×D71)⋊C8C23semidirect
442. (C2×D71)⋊C8C23semidirect
443. (C2×D71)⋊C8C23semidirect
444. (C2×D71)⋊C8C23semidirect
445. #14556039C23semidirect
446. #14556038C23semidirect
447. #14556038C23semidirect
452. C2×SD16×C71C23semidirect
453. C2×SD16×C71C23semidirect
454. C2×M16×C71C23semidirect
455. C22×C8×C71C23semidirect
459. #125×C71C23semidirect
461. C22⋊Q8×C71C23semidirect
462. C22⋊Q8×C71C23semidirect
468. C4×Q8×C71C23semidirect
472. #117×C71C23semidirect
473. C2×C4⋊C4×C71C23semidirect
474. #107×C71C23semidirect
475. #107×C71C23semidirect
476. #106×C71C23semidirect
477. C4⋊C8×C71C23semidirect
478. #103×C71C23semidirect
482. #102×C71C23semidirect
483. #102×C71C23semidirect
484. #102×C71C23semidirect
485. #102×C71C23semidirect
486. #102×C71C23semidirect
487. #102×C71C23semidirect
488. C22⋊C8×C71C23semidirect
489. C22⋊C8×C71C23semidirect
490. #97×C71C23semidirect
808. C22×D71AGL(1,ℤ/8)semidirect
1028. #3310D71semidirect
1050. C71#61571semidirect
1067. #552C2×D71semidirect
1111. #490C2×D71semidirect
1117. #482C2×D71semidirect
1123. #480C2×D71semidirect
1127. #478C2×D71semidirect
1135. #468C2×D71semidirect
1143. #465C2×D71semidirect
1151. #460C2×D71semidirect
1168. #450C2×D71semidirect
1169. #450C2×D71semidirect
1199. #440C2×D71semidirect
1207. #435C2×D71semidirect
1213. #418C2×D71semidirect
1217. C2×#102C2×D71semidirect
1283. C2×SD16C22×D71semidirect
1284. C2×SD16C22×D71semidirect
1302. C2×M16C22×D71semidirect
1306. C22×C8C22×D71semidirect
1322. #125C22×D71semidirect
1345. C22⋊Q8C22×D71semidirect
1346. C22⋊Q8C22×D71semidirect
1402. C4×Q8C22×D71semidirect
1434. #117C22×D71semidirect
1439. C2×C4⋊C4C22×D71semidirect
1452. #107C22×D71semidirect
1453. #107C22×D71semidirect
1457. #106C22×D71semidirect
1461. C4⋊C8C22×D71semidirect
1465. #103C22×D71semidirect
1488. #102C22×D71semidirect
1489. #102C22×D71semidirect
1490. #102C22×D71semidirect
1491. #102C22×D71semidirect
1492. #102C22×D71semidirect
1493. #102C22×D71semidirect
1504. C22⋊C8C22×D71semidirect
1505. C22⋊C8C22×D71semidirect
1509. #97C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226021802
D42×D712
#226004842
#226004822
#226004802
#226004782
#226003592
#226003572
#226003552
#225998422
#225998372
#225998332
#225998302
#225998252
#225998242
#225998172
#225998162
#225993622
#225993592
#225991582
#225991552
#225990922
#225990902
#225984832
#225984822
#225975692
#225975682
#450×D712
C2×#179861342
#225973652
C71×#33102
#6157171