Finite Group Databasebeta

← #32883015

Subgroups — #32883015

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#22601974C211yesmaximal, characteristic, complemented
3#22600581C211yesmaximal, characteristic, complemented
4#22600548C211yesmaximal, characteristic, complemented
5#22600495C211yesmaximal, characteristic, complemented
6#22600488C211yesmaximal, characteristic, complemented
7#22600368C211yesmaximal, characteristic, complemented
8#22600300C211yesmaximal, characteristic, complemented
9#22600182C211yesmaximal, characteristic, complemented
10#22600152C211yesmaximal, characteristic, complemented
11#22600024C211yesmaximal, characteristic, complemented
12#22600012C211yesmaximal, characteristic, complemented
13#22599955C211yesmaximal, characteristic, complemented
14#22599949C211yesmaximal, characteristic, complemented
15#22599875C211yesmaximal, characteristic, complemented
16#22599826C211yesmaximal, characteristic, complemented
17#22599819C211yesmaximal, characteristic, complemented
18#22599819C211yesmaximal, characteristic, complemented
19#22599390C211yesmaximal, characteristic, complemented
20#22599203C211yesmaximal, characteristic, complemented
21#22599196C211yesmaximal, characteristic, complemented
22#22599152C211yesmaximal, characteristic, complemented
23#22599132C211yesmaximal, characteristic, complemented
24#22598584C211yesmaximal, characteristic, complemented
25#22598518C211yesmaximal, characteristic, complemented
26#22597648C211yesmaximal, characteristic, complemented
27#22597605C211yesmaximal, characteristic, complemented
28#22597568C211yesmaximal, characteristic, complemented
29#447×D71C211yesmaximal, characteristic, complemented
30#22597386C211yesmaximal, characteristic, complemented
31C71×#3224C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic, complemented
33C22×D4×D71C2211yescharacteristic, complemented
34C2×#14556155C2211yescharacteristic, complemented
35C2×#14556155C2211yescharacteristic, complemented
36C2×#14556155C2211yescharacteristic, complemented
37C2×#14556155C2211yescharacteristic, complemented
38C2×#14556151C2211yescharacteristic, 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#17986646—21no—
51#17986646—21no—
52#17986642C2211yescharacteristic
53#17986642C2211yescharacteristic, complemented
54#17986642C2211yescharacteristic, complemented
55#17986642C2211yescharacteristic, complemented
56#17986642C2211yescharacteristic, complemented
57#17986642C2211yescharacteristic, complemented
58#17986640—21no—
59D4×D284C2211yescharacteristic, complemented
60#17986634C2211yescharacteristic
61#17986634C2211yescharacteristic, complemented
62#17986634C2211yescharacteristic, complemented
63#17986634C2211yescharacteristic, complemented
64#17986633—21no—
65#17986633—21no—
66#17986604C2211yescharacteristic, complemented
67#17986601—21no—
68#17986583—21no—
69#17986579C2211yescharacteristic, complemented
70#17986567—21no—
71#17986566C2211yescharacteristic, complemented
72#17986565C2211yescharacteristic, complemented
73#17986560—21no—
74#17986559—21no—
75#17986559—21no—
76#17986512C2211yescharacteristic, complemented
77#17986511C2211yescharacteristic
78#17986506C2211yescharacteristic, complemented
79#121×D71C2211yescharacteristic, complemented
80#120×D71—21no—
81#120×D71—21no—
82#17986473C2211yescharacteristic, complemented
83#17986389C2211yescharacteristic, complemented
84#17986375C2211yescharacteristic, complemented
85#17986363C2211yescharacteristic, complemented
86#17986353C2211yescharacteristic, complemented
87#17986338C2211yescharacteristic, complemented
88#17986337C2211yescharacteristic, complemented
89#17986328C2211yescharacteristic, complemented
90#17986324C2211yescharacteristic, complemented
91#17986324C2211yescharacteristic, complemented
92#17986322C2211yescharacteristic, complemented
93#17986321C2211yescharacteristic, complemented
94#17986321C2211yescharacteristic, complemented
95#17986320C2211yescharacteristic, complemented
96#17986316C2211yescharacteristic, complemented
97#17986311C2211yescharacteristic, complemented
98#17986311C2211yescharacteristic, complemented
99#17986300C2211yescharacteristic, complemented
100#17986300C2211yescharacteristic, complemented
101#17986286C2211yescharacteristic, complemented
102#17986276C2211yescharacteristic, complemented
103#17986251C2211yescharacteristic, complemented
104#17986251C2211yescharacteristic, complemented
105#17986251C2211yescharacteristic, complemented
106#17986249C2211yescharacteristic, complemented
107#17986249C2211yescharacteristic, complemented
108#17986248C2211yescharacteristic, complemented
109#17986242C2211yescharacteristic, complemented
110#17986242C2211yescharacteristic, complemented
111#17986237C2211yescharacteristic, complemented
112#17986234C2211yescharacteristic, complemented
113#17986234C2211yescharacteristic, complemented
114#17986234C2211yescharacteristic, complemented
115#17986232C2211yescharacteristic, complemented
116#17986231C2211yescharacteristic, complemented
117#17986225C2211yescharacteristic, complemented
118#17986225C2211yescharacteristic, complemented
119#17986211C2211yescharacteristic, complemented
120#17986211C2211yescharacteristic, complemented
121#17986211C2211yescharacteristic, complemented
122#17986211C2211yescharacteristic, complemented
123#17986195C2211yescharacteristic, complemented
124#17986195C2211yescharacteristic, complemented
125#17986191C2211yescharacteristic, complemented
126#17986191C2211yescharacteristic, complemented
127#17986160C2211yescharacteristic, complemented
128#17986160C2211yescharacteristic, complemented
129#17986149C2211yescharacteristic, complemented
130#17986148C2211yescharacteristic, complemented
131#17986148C2211yescharacteristic, complemented
132#17986148C2211yescharacteristic, complemented
133#17986148C2211yescharacteristic, complemented
134#17986147C2211yescharacteristic, complemented
135#17986147C2211yescharacteristic, complemented
136#17986144C2211yescharacteristic, complemented
137#17986144C2211yescharacteristic, complemented
138#17986143C2211yescharacteristic, complemented
139#17986143C2211yescharacteristic, complemented
140#17986143C2211yescharacteristic, complemented
141#17986143C2211yescharacteristic, complemented
142#17986135C2211yescharacteristic, complemented
143#17986135C2211yescharacteristic, complemented
144#17986134C2211yescharacteristic, complemented
145#17986134C2211yescharacteristic, complemented
146#17986134C2211yescharacteristic, complemented
147#17986134C2211yescharacteristic, complemented
148#17986134C2211yescharacteristic, complemented
149#17986134C2211yescharacteristic, complemented
150#17986133C2211yescharacteristic, complemented
151#17986133C2211yescharacteristic, complemented
152#17986132C2211yescharacteristic
153#17986131C2211yescharacteristic, complemented
154#17986131C2211yescharacteristic, complemented
155#17986131C2211yescharacteristic, complemented
156#17986131C2211yescharacteristic, complemented
157#17986131C2211yescharacteristic, complemented
158#17986131C2211yescharacteristic, complemented
159#17986112C2211yescharacteristic, complemented
160#17986112C2211yescharacteristic, complemented
161#17986109C2211yescharacteristic, complemented
162#17986097C2211yescharacteristic, complemented
163C4×#11765852C2211yescharacteristic, complemented
164C4×D568C2211yescharacteristic, complemented
165C4×D568C2211yescharacteristic, 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#17985999C2211yescharacteristic, complemented
180#17985994C2211yescharacteristic, 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#535×C71C2211yescharacteristic, complemented
190#496×C71C2211yescharacteristic, complemented
191#495×C71C2211yescharacteristic, complemented
192#489×C71C2211yescharacteristic, complemented
193#486×C71C2211yescharacteristic, complemented
194#464×C71C2211yescharacteristic, complemented
195#463×C71C2211yescharacteristic, complemented
196#460×C71C2211yescharacteristic, complemented
197#459×C71C2211yescharacteristic, complemented
198#452×C71C2211yescharacteristic, complemented
199#450×C71C2211yescharacteristic, complemented
200#449×C71C2211yescharacteristic, complemented
201#447×C71C2211yescharacteristic, complemented
202#433×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204#14556174—42no—
205#14556174—42no—
206C2×#11765866—21no—
207C2×#11765866C2311yescharacteristic
208C2×#11765866C2311yescharacteristic
209C2×#11765866C2311yescharacteristic
210C2×#11765866C2311yescharacteristic, complemented
211C2×#11765865—21no—
212C2×#11765865C2311yescharacteristic
213C22×D284—21no—
214C22×D284—21no—
215C22×D284C2311yescharacteristic
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—42no—
227C2×D4×D71—42no—
228C2×D4×D71C2311yescharacteristic
229C2×D4×D71C2311yescharacteristic
230C2×D4×D71C2311yescharacteristic
231C2×D4×D71C2311yescharacteristic
232C2×D4×D71C2311yescharacteristic
233C2×D4×D71C2311yescharacteristic
234C2×D4×D71C2311yescharacteristic
235C2×D4×D71C2311yescharacteristic, complemented
236C22×C4×D71C2311yescharacteristic
237#14556155—42no—
238#14556155—42no—
239#14556155—42no—
240#14556155—42no—
241#14556151—42no—
242C2×#11765852C2311yescharacteristic
243C2×#11765852C2311yescharacteristic
244C2×#11765852C2311yescharacteristic, complemented
245C2×#11765852C2311yescharacteristic, complemented
246C2×D568C2311yescharacteristic
247C2×D568C2311yescharacteristic
248C2×D568C2311yescharacteristic
249C2×D568C2311yescharacteristic
250C2×#11765850C2311yescharacteristic
251C2×#11765850C2311yescharacteristic
252C2×#11765850C2311yescharacteristic
253C2×#11765850C2311yescharacteristic
254C2×#11765850C2311yescharacteristic
255C2×#11765850C2311yescharacteristic
256C2×#11765850C2311yescharacteristic, complemented
257C2×#11765850C2311yescharacteristic, complemented
258D8×D71—42no—
259D8×D71—42no—
260D8×D71—42no—
261C2×#11765848C2311yescharacteristic
262C2×#11765848C2311yescharacteristic
263C2×#11765848C2311yescharacteristic, complemented
264C2×#11765848C2311yescharacteristic, complemented
265C2×C8×D71C2311yescharacteristic
266C2×C8×D71C2311yescharacteristic
267C2×C8×D71C2311yescharacteristic, complemented
268C2×C8×D71C2311yescharacteristic, complemented
269#14556125—21no—
270#14556125C2311yescharacteristic, complemented
271#14556124—21no—
272#14556124—21no—
273#14556122—21no—
274#14556121—21no—
275#14556120C2311yescharacteristic, complemented
276#14556118—21no—
277#14556117—21no—
278#14556117—21no—
279#14556115—21no—
280#14556114—21no—
281#14556113—21no—
282#14556113—21no—
283#14556113—21no—
284#14556113—21no—
285#14556113—21no—
286#14556113—21no—
287#14556112D411yescharacteristic
288#14556112D411yescharacteristic
289#14556111—21no—
290#14556110—21no—
291#14556110—21no—
292#14556110—21no—
293#14556110—21no—
294#14556110—21no—
295#14556110—21no—
296#14556109—21no—
297#14556108D411yescharacteristic
298#14556108D411yescharacteristic
299#14556106—21no—
300#14556104—21no—
301#14556104C2311yescharacteristic
302#14556104C2311yescharacteristic
303#14556104C2311yescharacteristic
304#14556104C2311yescharacteristic, complemented
305#14556103—21no—
306#14556103—21no—
307#14556103—21no—
308#14556103—21no—
309#14556103D411yescharacteristic
310#14556103D411yescharacteristic
311#14556103C2311yescharacteristic
312#14556103C2311yescharacteristic
313#14556103C2311yescharacteristic, complemented
314#14556103C2311yescharacteristic, complemented
315#14556102—21no—
316#14556102C2311yescharacteristic
317#14556102C2311yescharacteristic
318#14556101—21no—
319#14556101—21no—
320#14556101—21no—
321#14556101—21no—
322#14556101—21no—
323#14556101—21no—
324#14556101—21no—
325#14556101—21no—
326#14556101—21no—
327#14556101—21no—
328#14556101—21no—
329#14556101—21no—
330#14556100—21no—
331#14556099—21no—
332#14556099—21no—
333#14556099—21no—
334#14556099—21no—
335#14556099C2311yescharacteristic
336#14556099C2311yescharacteristic
337#14556099C2311yescharacteristic
338#14556099C2311yescharacteristic
339#14556099C2311yescharacteristic
340#14556099C2311yescharacteristic
341#14556099C2311yescharacteristic
342#14556099C2311yescharacteristic, complemented
343#14556098—21no—
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#14556098D411yescharacteristic
354#14556098D411yescharacteristic
355#14556097—21no—
356#14556097—21no—
357#14556096—21no—
358#14556096—21no—
359#14556096—21no—
360#14556096—21no—
361#14556096—21no—
362#14556096—21no—
363#14556096—21no—
364#14556096—21no—
365#14556096—21no—
366#14556096—21no—
367C4×D284—21no—
368C4×D284C2311yescharacteristic
369C4×D284C2311yescharacteristic
370C4×D284C2311yescharacteristic
371C4×D284C2311yescharacteristic
372C4×D284C2311yescharacteristic
373C4×D284C2311yescharacteristic
374C4×D284C2311yescharacteristic
375C4×D284C2311yescharacteristic
376C4×D284C2311yescharacteristic, complemented
377C4×D284C2311yescharacteristic, complemented
378#14556090—21no—
379#14556090—21no—
380#14556090—21no—
381C4×C22⋊D71—21no—
382C4×C22⋊D71—21no—
383C4×C22⋊D71—21no—
384(C22⋊D71)⋊C4—21no—
385#14556087C2311yescharacteristic
386#14556086—21no—
387#14556086C2311yescharacteristic
388#14556086C2311yescharacteristic, complemented
389#14556085—21no—
390C4⋊C4×D71C2311yescharacteristic
391C4⋊C4×D71C2311yescharacteristic, complemented
392C22⋊C4×D71—21no—
393C22⋊C4×D71—21no—
394C22⋊C4×D71—21no—
395C22⋊C4×D71—21no—
396C22⋊C4×D71—21no—
397C22⋊C4×D71—21no—
398C22⋊C4×D71—21no—
399C22⋊C4×D71—21no—
400C22⋊C4×D71—21no—
401#14556062C2311yescharacteristic, complemented
402#14556062C2311yescharacteristic, complemented
403#14556061C2311yescharacteristic, complemented
404#14556061C2311yescharacteristic, complemented
405#14556060C2311yescharacteristic, complemented
406#14556060C2311yescharacteristic, complemented
407#14556059C2311yescharacteristic, complemented
408#14556059C2311yescharacteristic, complemented
409C4⋊(C71⋊C8)C2311yescharacteristic, complemented
410C4⋊(C71⋊C8)C2311yescharacteristic, complemented
411#14556052C2311yescharacteristic, complemented
412#14556052C2311yescharacteristic, complemented
413#14556052C2311yescharacteristic, complemented
414#14556052C2311yescharacteristic, complemented
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic, complemented
420#14556050C2311yescharacteristic, complemented
421#14556050C2311yescharacteristic, complemented
422#14556050C2311yescharacteristic, complemented
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556049C2311yescharacteristic
427#14556049C2311yescharacteristic, complemented
428#14556049C2311yescharacteristic, complemented
429#14556049C2311yescharacteristic, complemented
430#14556049C2311yescharacteristic, complemented
431#14556048C2311yescharacteristic
432#14556048C2311yescharacteristic
433#14556048C2311yescharacteristic
434#14556048C2311yescharacteristic
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
447C2×#41×C71C2311yescharacteristic
448C22×D4×C71C2311yescharacteristic
449C2×Q16×C71C2311yescharacteristic, complemented
450C2×SD16×C71C2311yescharacteristic
451C2×SD16×C71C2311yescharacteristic
452C2×SD16×C71C2311yescharacteristic, complemented
453C2×SD16×C71C2311yescharacteristic, complemented
454C2×D8×C71C2311yescharacteristic
455C2×D8×C71C2311yescharacteristic
456C2×D8×C71C2311yescharacteristic, complemented
457C4⋊Q8×C71C2311yescharacteristic, complemented
458#127×C71C2311yescharacteristic
459#127×C71C2311yescharacteristic
460#126×C71—21no—
461#124×C71—21no—
462#124×C71C2311yescharacteristic
463#124×C71C2311yescharacteristic
464#124×C71C2311yescharacteristic, complemented
465#123×C71—21no—
466C22⋊Q8×C71—21no—
467C22⋊Q8×C71C2311yescharacteristic
468#121×C71—21no—
469#121×C71—21no—
470#121×C71C2311yescharacteristic
471#120×C71—21no—
472#120×C71—21no—
473C4×Q8×C71C2311yescharacteristic, complemented
474C4×D4×C71C2311yescharacteristic, complemented
475#117×C71C2311yescharacteristic
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—22no—
504#11765866—22no—
505#11765866—41no—
506#11765866—41no—
507#11765866—41no—
508#11765866—41no—
509#11765866—41no—
510#11765866—41no—
511#11765866—82no—
512#11765865—41no—
513#11765865—41no—
514#11765865—44no—
515C2×Dic142C2×D411yescharacteristic
516C2×D284—21no—
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—44no—
530C2×D284—82no—
531C2×D284C2×D411yescharacteristic
532C2×D284C2×D411yescharacteristic
533C2×D284C2×D411yescharacteristic
534C2×D284C2×D411yescharacteristic
535C2×D284C2×D411yescharacteristic
536C2×D284C2411yescharacteristic
537C2×D284C2411yescharacteristic
538C2×D284C2411yescharacteristic
539C2×D284C2411yescharacteristic
540C2×C22⋊D71—21no—
541C2×C22⋊D71—21no—
542C2×C22⋊D71—21no—
543C2×C22⋊D71—21no—
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—44no—
559C2×C22⋊D71C2×D411yescharacteristic
560C2×C22⋊D71C2×D411yescharacteristic
561D4×D71—22no—
562D4×D71—22no—
563D4×D71—22no—
564D4×D71—22no—
565D4×D71—22no—
566D4×D71—22no—
567D4×D71—41no—
568D4×D71—41no—
569D4×D71—41no—
570D4×D71—41no—
571D4×D71—41no—
572D4×D71—41no—
573D4×D71—41no—
574D4×D71—41no—
575D4×D71—41no—
576D4×D71—41no—
577D4×D71—44no—
578D4×D71—44no—
579D4×D71—44no—
580D4×D71—44no—
581D4×D71—82no—
582D4×D71—82no—
583D4×D71—82no—
584D4×D71—82no—
585D4×D71—82no—
586C22×Dic71C2×D411yescharacteristic
587C2×C4×D71—21no—
588C2×C4×D71—21no—
589C2×C4×D71—21no—
590C2×C4×D71—21no—
591C2×C4×D71—21no—
592C2×C4×D71—21no—
593C2×C4×D71—21no—
594C2×C4×D71—21no—
595C2×C4×D71—21no—
596C2×C4×D71—21no—
597C2×C4×D71—21no—
598C2×C4×D71—21no—
599C2×C4×D71—41no—
600C2×C4×D71—41no—
601C2×C4×D71C2×D411yescharacteristic
602C2×C4×D71C2×D411yescharacteristic
603C2×C4×D71C2411yescharacteristic
604C2×C4×D71C2411yescharacteristic
605C2×C4×D71C2411yescharacteristic
606C2×C4×D71C2411yescharacteristic
607#11765852—22no—
608#11765852—22no—
609#11765852—41no—
610#11765852—41no—
611D568—22no—
612D568—22no—
613D568—22no—
614D568—22no—
615#11765850—22no—
616#11765850—22no—
617#11765850—41no—
618#11765850—41no—
619#11765850—41no—
620#11765850—41no—
621#11765850—41no—
622#11765850—41no—
623#11765848—41no—
624#11765848—41no—
625#11765848—41no—
626#11765848—41no—
627C2×C71⋊C8C2411yescharacteristic
628C2×C71⋊C8C2411yescharacteristic
629C2×C71⋊C8C2411yescharacteristic
630C2×C71⋊C8C2411yescharacteristic
631C8×D71—41no—
632C8×D71—41no—
633C8×D71—41no—
634C8×D71—41no—
635C4⋊Dic71C2×D411yescharacteristic
636C4⋊Dic71C2×D411yescharacteristic
637C4⋊Dic71C2×D411yescharacteristic
638C4⋊Dic71C2×D411yescharacteristic
639C4⋊Dic71C2411yescharacteristic
640C4⋊Dic71C2411yescharacteristic
641C4⋊Dic71C2411yescharacteristic
642C4⋊Dic71C2411yescharacteristic
643Dic71⋊C4—21no—
644Dic71⋊C4—21no—
645Dic71⋊C4—21no—
646Dic71⋊C4—21no—
647Dic71⋊C4—21no—
648Dic71⋊C4—21no—
649Dic71⋊C4—21no—
650Dic71⋊C4—21no—
651C22⋊Dic71—21no—
652C22⋊Dic71—21no—
653C22⋊Dic71—21no—
654C22⋊Dic71—21no—
655C22⋊Dic71—21no—
656C22⋊Dic71—21no—
657C22⋊Dic71—21no—
658C22⋊Dic71—21no—
659C22⋊Dic71—21no—
660(C2×D71)⋊C4—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)⋊C4C2×D411yescharacteristic
679(C2×D71)⋊C4C2×D411yescharacteristic
680(C2×D71)⋊C4C2×D411yescharacteristic
681(C2×D71)⋊C4C2×D411yescharacteristic
682(C2×D71)⋊C4C2×D411yescharacteristic
683(C2×D71)⋊C4C2×D411yescharacteristic
684(C2×D71)⋊C4C2×D411yescharacteristic
685(C2×D71)⋊C4C2×D411yescharacteristic
686C4×Dic71—21no—
687C4×Dic71—21no—
688C4×Dic71—21no—
689C24×C71—21no—
690#41×C71—41no—
691#41×C71—41no—
692C2×Q8×C71—21no—
693C2×Q8×C71C2411yescharacteristic
694C2×Q8×C71C2411yescharacteristic
695C2×D4×C71—21no—
696C2×D4×C71—21no—
697C2×D4×C71—21no—
698C2×D4×C71—21no—
699C2×D4×C71—21no—
700C2×D4×C71—21no—
701C2×D4×C71—21no—
702C2×D4×C71—41no—
703C2×D4×C71—41no—
704C2×D4×C71C2411yescharacteristic
705C2×D4×C71C2411yescharacteristic
706C2×D4×C71C2411yescharacteristic
707C2×D4×C71C2411yescharacteristic
708C22×C4×C71—21no—
709C22×C4×C71—21no—
710C22×C4×C71C2411yescharacteristic
711Q16×C71—41no—
712SD16×C71—41no—
713SD16×C71—41no—
714SD16×C71—41no—
715SD16×C71—41no—
716D8×C71—41no—
717D8×C71—41no—
718D8×C71—41no—
719C2×C8×C71C2411yescharacteristic
720C2×C8×C71C2411yescharacteristic
721C2×C8×C71C2411yescharacteristic
722C2×C8×C71C2411yescharacteristic
723C4⋊C4×C71—21no—
724C4⋊C4×C71—21no—
725C4⋊C4×C71—21no—
726C4⋊C4×C71C2×D411yescharacteristic
727C4⋊C4×C71C2×D411yescharacteristic
728C4⋊C4×C71C2411yescharacteristic
729C4⋊C4×C71C2411yescharacteristic
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×C71—21no—
739C22⋊C4×C71C2×D411yescharacteristic
740C22⋊C4×C71C2×D411yescharacteristic
741C42×C71—21no—
742C42×C71C2411yescharacteristic
743C42×C71C2411yescharacteristic
744C23×C71—21no—
745C23×C71—21no—
746C23×C71—21no—
747C23×C71—21no—
748C23×C71—42no—
749C23×C71—81no—
750C23×C71—81no—
751C23×C71C22×D411yescharacteristic
752C22×D71—21no—
753C22×D71—21no—
754C22×D71—24no—
755C22×D71—22no—
756C22×D71—21no—
757C22×D71—21no—
758C22×D71—41no—
759C22×D71—41no—
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—21no—
794Q8×C71—21no—
795Q8×C71—81no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—21no—
799D4×C71—21no—
800D4×C71—21no—
801D4×C71—21no—
802D4×C71—21no—
803D4×C71—21no—
804D4×C71—42no—
805D4×C71—42no—
806D4×C71—81no—
807D4×C71—81no—
808D4×C71—81no—
809D4×C71—81no—
810D4×C71—81no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—21no—
816C2×C4×C71—21no—
817C2×C4×C71—42no—
818C2×C4×C71—81no—
819C2×C4×C71C22×D411yescharacteristic
820C2×C4×C71C22×D411yescharacteristic
821C2×C4×C71C22×D411yescharacteristic
822C2×C4×C71C22×D411yescharacteristic
823C2×C4×C71C22×D411yescharacteristic
824C2×C4×C71C2511yescharacteristic
825C22⋊D71—41no—
826C22⋊D71—41no—
827C22⋊D71—42no—
828C22⋊D71—42no—
829C22⋊D71—42no—
830C22⋊D71—42no—
831C22⋊D71—42no—
832C22⋊D71—42no—
833C22⋊D71—42no—
834C22⋊D71—42no—
835C22⋊D71—81no—
836C22⋊D71—81no—
837C22⋊D71—81no—
838C22⋊D71—81no—
839C22⋊D71—81no—
840C22⋊D71—81no—
841C22⋊D71—81no—
842C22⋊D71—81no—
843C22⋊D71—81no—
844C22⋊D71—81no—
845C2×Dic71—21no—
846C2×Dic71—21no—
847C2×Dic71—21no—
848C2×Dic71—21no—
849C2×Dic71—41no—
850C2×Dic71C22×D411yescharacteristic
851C2×Dic71C22×D411yescharacteristic
852C2×Dic71C22×D411yescharacteristic
853C2×Dic71C22×D411yescharacteristic
854D284—24no—
855D284—22no—
856D284—22no—
857D284—21no—
858D284—21no—
859D284—21no—
860D284—21no—
861D284—21no—
862D284—21no—
863D284—41no—
864D284—41no—
865D284—41no—
866D284—42no—
867D284—42no—
868D284—42no—
869D284—81no—
870D284—81no—
871D284—81no—
872D284—81no—
873D284—81no—
874D284—81no—
875D284—81no—
876D284H(5,𝔽2)12yes—
877D284H(5,𝔽2)12yes—
878C4×D71—21no—
879C4×D71—21no—
880C4×D71—21no—
881C4×D71—21no—
882C4×D71—21no—
883C4×D71—21no—
884C4×D71—21no—
885C4×D71—21no—
886C4×D71—41no—
887C4×D71—41no—
888C4×D71—42no—
889C4×D71—42no—
890C4×D71—42no—
891C4×D71—81no—
892C4×D71—81no—
893C4×D71—81no—
894C4×D71—81no—
895C4×D71—81no—
896C4×D71—81no—
897C4×D71—81no—
898C4×D71—81no—
899C4×D71—81no—
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—21no—
912C22×C71—41no—
913C22×C71—41no—
914C22×C71—41no—
915C22×C71—41no—
916C22×C71—41no—
917C22×C71—41no—
918C22×C71—41no—
919C22×C71—41no—
920C22×C71—41no—
921C22×C71—41no—
922C22×C71—41no—
923C22×C71—41no—
924C22×C71—84no—
925C22×C71C23×D411yescharacteristic
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—22no—
935C2×D71—22no—
936C2×D71—21no—
937C2×D71—21no—
938C2×D71—21no—
939C2×D71—44no—
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×C71C2×H(5,𝔽2)11yescharacteristic
970C4×C71C2×H(5,𝔽2)11yescharacteristic
971Dic71—21no—
972Dic71—21no—
973Dic71—21no—
974Dic71—21no—
975Dic71—41no—
976Dic71—41no—
977Dic71—41no—
978Dic71—41no—
979#61609—711nomaximal, Sylow
980C2×C71—41no—
981C2×C71—81no—
982C2×C71—81no—
983C2×C71—81no—
984C2×C71—81no—
985C2×C71#348411yescharacteristic
986C2×C71C2×#57611yescharacteristic
987C2×C71#358511yescharacteristic
988D71—22no—
989D71—41no—
990D71—41no—
991D71—41no—
992D71—42no—
993D71—42no—
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#3224D7111yescharacteristic, complemented
1015#3220—711no—
1016#3199—711no—
1017#3198—711no—
1018#3194—711no—
1019#3191—711no—
1020#3122—711no—
1021#3118—711no—
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—1421no—
1070#535C2×D7111yescharacteristic, complemented
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#518—711no—
1081#496—711no—
1082#496C2×D7111yescharacteristic, complemented
1083#495C2×D7111yescharacteristic, complemented
1084#493—711no—
1085#490—711no—
1086#489C2×D7111yescharacteristic, complemented
1087#488—711no—
1088#486C2×D7111yescharacteristic, complemented
1089#485—711no—
1090#485—711no—
1091#483—711no—
1092#482—711no—
1093#482—711no—
1094#482—711no—
1095#482—711no—
1096#482—711no—
1097#482—711no—
1098#481—711no—
1099#480—711no—
1100#480—711no—
1101#478—711no—
1102#478—711no—
1103#476—711no—
1104#474—711no—
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#464C2×D7111yescharacteristic, complemented
1122#463—711no—
1123#463—711no—
1124#463—711no—
1125#463—711no—
1126#463C2×D7111yescharacteristic, complemented
1127#460C2×D7111yescharacteristic, complemented
1128#459—711no—
1129#459—711no—
1130#459—711no—
1131#459—711no—
1132#459C2×D7111yescharacteristic, complemented
1133#452—711no—
1134#452—711no—
1135#452C2×D7111yescharacteristic, complemented
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#449C2×D7111yescharacteristic, complemented
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, complemented
1169#442—711no—
1170#442—711no—
1171#442—711no—
1172#440—711no—
1173C4×SD16—711no—
1174C4×D8—711no—
1175C4×D8—711no—
1176C4×D8—711no—
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—1421no—
1208C2×#41—1421no—
1209C2×#41C22×D7111yescharacteristic
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×Q16C22×D7111yescharacteristic, complemented
1241C2×SD16—711no—
1242C2×SD16—711no—
1243C2×SD16—711no—
1244C2×SD16—711no—
1245C2×SD16C22×D7111yescharacteristic
1246C2×SD16C22×D7111yescharacteristic
1247C2×SD16C22×D7111yescharacteristic, complemented
1248C2×SD16C22×D7111yescharacteristic, complemented
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×D8C22×D7111yescharacteristic
1265C2×D8C22×D7111yescharacteristic
1266C2×D8C22×D7111yescharacteristic, complemented
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—1421no—
1278#127—1421no—
1279#127—1421no—
1280#127C22×D7111yescharacteristic
1281#127C22×D7111yescharacteristic
1282#126—21no—
1283#126—1421no—
1284#126—1421no—
1285#125—711no—
1286#125—1421no—
1287#124—21no—
1288#124—1421no—
1289#124—1421no—
1290#124—1421no—
1291#124—1421no—
1292#124C22×D7111yescharacteristic
1293#124C22×D7111yescharacteristic
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—21no—
1323#121—21no—
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—711no—
1339#121—711no—
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—21no—
1364#120—21no—
1365#120—711no—
1366#120—711no—
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—711no—
1391C4×D4—711no—
1392C4×D4—711no—
1393C4×D4—711no—
1394C4×D4—711no—
1395C4×D4—711no—
1396C4×D4—711no—
1397C4×D4—711no—
1398C4×D4—711no—
1399C4×D4—711no—
1400C4×D4—1421no—
1401C4×D4—1421no—
1402C4×D4—1421no—
1403C4×D4—1421no—
1404C4×D4—1421no—
1405C4×D4—1421no—
1406C4×D4—1421no—
1407C4×D4—1421no—
1408C4×D4C22×D7111yescharacteristic, complemented
1409#117—711no—
1410#117—711no—
1411#117—711no—
1412#117—1421no—
1413#117—1421no—
1414#117C22×D7111yescharacteristic
1415C2×C4⋊C4—711no—
1416C2×C4⋊C4—711no—
1417C2×C22⋊C4—1421no—
1418C2×C22⋊C4—1421no—
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#107—711no—
1429#107—711no—
1430#106—711no—
1431#106—711no—
1432#106—711no—
1433#106—711no—
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—41no—
1501#41—41no—
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×Q8C23×D7111yescharacteristic
1517C2×Q8C23×D7111yescharacteristic
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—2844no—
1528C2×D4—2844no—
1529C2×D4—2844no—
1530C2×D4—2844no—
1531C2×D4—2844no—
1532C2×D4—2844no—
1533C2×D4—2841no—
1534C2×D4—2841no—
1535C2×D4—2841no—
1536C2×D4—2841no—
1537C2×D4—2841no—
1538C2×D4—2841no—
1539C2×D4—2841no—
1540C2×D4—2841no—
1541C2×D4—2841no—
1542C2×D4—2841no—
1543C2×D4—5682no—
1544C2×D4—5682no—
1545C2×D4—5682no—
1546C2×D4—5682no—
1547C2×D4—5682no—
1548C2×D4—5682no—
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—711no—
1559C2×D4—711no—
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—1422no—
1569C2×D4—1422no—
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—1422no—
1579C2×D4—1422no—
1580C2×D4—1422no—
1581C2×D4—1422no—
1582C2×D4—1422no—
1583C2×D4—1422no—
1584C2×D4—1421no—
1585C2×D4—1421no—
1586C2×D4—1421no—
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×D4C23×D7111yescharacteristic
1598C2×D4C23×D7111yescharacteristic
1599C2×D4C23×D7111yescharacteristic
1600C2×D4C23×D7111yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—2841no—
1604C22×C4—2841no—
1605C22×C4—711no—
1606C22×C4—711no—
1607C22×C4—711no—
1608C22×C4—711no—
1609C22×C4—711no—
1610C22×C4—711no—
1611C22×C4—711no—
1612C22×C4—1421no—
1613C22×C4—1421no—
1614C22×C4—1421no—
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—41no—
1626SD16—41no—
1627SD16—41no—
1628SD16—41no—
1629SD16—41no—
1630SD16—2841no—
1631SD16—2841no—
1632SD16—1422no—
1633SD16—1422no—
1634D8—41no—
1635D8—41no—
1636D8—41no—
1637D8—2841no—
1638D8—2841no—
1639D8—2841no—
1640D8—2841no—
1641D8—2841no—
1642D8—2841no—
1643D8—1422no—
1644D8—1422no—
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—711no—
1675C4⋊C4—711no—
1676C4⋊C4—1421no—
1677C4⋊C4—1421no—
1678C4⋊C4—1421no—
1679C4⋊C4—1421no—
1680C4⋊C4—1421no—
1681C4⋊C4—1421no—
1682C4⋊C4—1421no—
1683C4⋊C4—1421no—
1684C4⋊C4D4×D7111yescharacteristic
1685C4⋊C4D4×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—711no—
1698C22⋊C4—711no—
1699C22⋊C4—711no—
1700C22⋊C4—711no—
1701C22⋊C4—711no—
1702C22⋊C4—711no—
1703C22⋊C4—711no—
1704C22⋊C4—711no—
1705C22⋊C4—1421no—
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—1421no—
1736C42—1421no—
1737C42—1421no—
1738C42C23×D7111yescharacteristic
1739C42C23×D7111yescharacteristic
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—42no—
1745C23—81no—
1746C23—81no—
1747C23—2841no—
1748C23—2841no—
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—1424no—
1782C23—1421no—
1783C23—1421no—
1784C23—1421no—
1785C23—1421no—
1786C23C2×D4×D7111yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—21no—
1790Q8—21no—
1791Q8—81no—
1792Q8—2841no—
1793D4—21no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—42no—
1802D4—42no—
1803D4—81no—
1804D4—81no—
1805D4—81no—
1806D4—81no—
1807D4—81no—
1808D4—2841no—
1809D4—2841no—
1810D4—2841no—
1811D4—2842no—
1812D4—2842no—
1813D4—2842no—
1814D4—2842no—
1815D4—2842no—
1816D4—2841no—
1817D4—2841no—
1818D4—2842no—
1819D4—2842no—
1820D4—2842no—
1821D4—2842no—
1822D4—2842no—
1823D4—2842no—
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—5681no—
1839D4—5681no—
1840D4—5681no—
1841D4—712no—
1842D4—712no—
1843D4—1422no—
1844D4—1422no—
1845D4—1424no—
1846D4—1421no—
1847D4—1421no—
1848D4—1421no—
1849D4—1421no—
1850D4—1421no—
1851D4—1421no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—42no—
1859C2×C4—81no—
1860C2×C4—2841no—
1861C2×C4—2841no—
1862C2×C4—2842no—
1863C2×C4—2842no—
1864C2×C4—2842no—
1865C2×C4—2841no—
1866C2×C4—5681no—
1867C2×C4—5681no—
1868C2×C4—5681no—
1869C2×C4—5681no—
1870C2×C4—5681no—
1871C2×C4—5681no—
1872C2×C4—5681no—
1873C2×C4—5681no—
1874C2×C4—5681no—
1875C2×C4—711no—
1876C2×C4—711no—
1877C2×C4—711no—
1878C2×C4—711no—
1879C2×C4—1421no—
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—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—84no—
1921C22—2844no—
1922C22—2841no—
1923C22—2841no—
1924C22—2841no—
1925C22—2841no—
1926C22—2841no—
1927C22—2841no—
1928C22—2841no—
1929C22—2841no—
1930C22—2841no—
1931C22—2841no—
1932C22—5684no—
1933C22—5684no—
1934C22—5684no—
1935C22—5684no—
1936C22—5684no—
1937C22—712no—
1938C22—11362no—
1939C22—11362no—
1940C22—11362no—
1941C22—11362no—
1942C22—1421no—
1943C22—1421no—
1944C22—1421no—
1945C22—1421no—
1946C22—1421no—
1947C22—1421no—
1948C22—1421no—
1949C22—1422no—
1950C22—1422no—
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—2841no—
1966C4—2841no—
1967C4—2841no—
1968C4—2841no—
1969C4—1421no—
1970C4—1421no—
1971C4—1421no—
1972C4—1421no—
1973C4H(5,𝔽2)×D7111yescharacteristic
1974C4H(5,𝔽2)×D7111yescharacteristic
1975C2—41no—
1976C2—81no—
1977C2—81no—
1978C2—81no—
1979C2—81no—
1980C2—2841no—
1981C2—2842no—
1982C2—2842no—
1983C2—2841no—
1984C2—2841no—
1985C2—5681no—
1986C2—5681no—
1987C2—1422no—
1988C2#2260197411yescharacteristic
1989C2#576×D7111yescharacteristic
1990C2#2260311811yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3224C2
socleC22×C71C23×D4
hypercenter#3224D71
hypocenterC71#61609
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #22602652C2semidirect
2. #22601974C2semidirect
3. #22600581C2semidirect
4. #22600548C2semidirect
5. #22600495C2semidirect
6. #22600488C2semidirect
7. #22600368C2semidirect
8. #22600300C2semidirect
9. #22600182C2semidirect
10. #22600152C2semidirect
11. #22600024C2semidirect
12. #22600012C2semidirect
13. #22599955C2semidirect
14. #22599949C2semidirect
15. #22599875C2semidirect
16. #22599826C2semidirect
17. #22599819C2semidirect
18. #22599819C2semidirect
19. #22599390C2semidirect
20. #22599203C2semidirect
21. #22599196C2semidirect
22. #22599152C2semidirect
23. #22599132C2semidirect
24. #22598584C2semidirect
25. #22598518C2semidirect
26. #22597648C2semidirect
27. #22597605C2semidirect
28. #22597568C2semidirect
29. #447×D71C2semidirect
30. #22597386C2semidirect
31. C71×#3224C2semidirect
32. C2×#14556174C22semidirect
33. C22×D4×D71C22semidirect
34. C2×#14556155C22semidirect
35. C2×#14556155C22semidirect
36. C2×#14556155C22semidirect
37. C2×#14556155C22semidirect
38. C2×#14556151C22semidirect
39. C2×D8×D71C22semidirect
40. C2×D8×D71C22semidirect
41. C2×D8×D71C22semidirect
44. #17986715C22semidirect
45. #17986699C22semidirect
46. #17986690C22semidirect
48. #17986671C22semidirect
49. #17986652C22semidirect
53. #17986642C22semidirect
54. #17986642C22semidirect
55. #17986642C22semidirect
56. #17986642C22semidirect
57. #17986642C22semidirect
59. D4×D284C22semidirect
61. #17986634C22semidirect
62. #17986634C22semidirect
63. #17986634C22semidirect
66. #17986604C22semidirect
69. #17986579C22semidirect
71. #17986566C22semidirect
72. #17986565C22semidirect
76. #17986512C22semidirect
78. #17986506C22semidirect
79. #121×D71C22semidirect
82. #17986473C22semidirect
83. #17986389C22semidirect
84. #17986375C22semidirect
85. #17986363C22semidirect
86. #17986353C22semidirect
87. #17986338C22semidirect
88. #17986337C22semidirect
89. #17986328C22semidirect
90. #17986324C22semidirect
91. #17986324C22semidirect
92. #17986322C22semidirect
93. #17986321C22semidirect
94. #17986321C22semidirect
95. #17986320C22semidirect
96. #17986316C22semidirect
97. #17986311C22semidirect
98. #17986311C22semidirect
99. #17986300C22semidirect
100. #17986300C22semidirect
101. #17986286C22semidirect
102. #17986276C22semidirect
103. #17986251C22semidirect
104. #17986251C22semidirect
105. #17986251C22semidirect
106. #17986249C22semidirect
107. #17986249C22semidirect
108. #17986248C22semidirect
109. #17986242C22semidirect
110. #17986242C22semidirect
111. #17986237C22semidirect
112. #17986234C22semidirect
113. #17986234C22semidirect
114. #17986234C22semidirect
115. #17986232C22semidirect
116. #17986231C22semidirect
117. #17986225C22semidirect
118. #17986225C22semidirect
119. #17986211C22semidirect
120. #17986211C22semidirect
121. #17986211C22semidirect
122. #17986211C22semidirect
123. #17986195C22semidirect
124. #17986195C22semidirect
125. #17986191C22semidirect
126. #17986191C22semidirect
127. #17986160C22semidirect
128. #17986160C22semidirect
129. #17986149C22semidirect
130. #17986148C22semidirect
131. #17986148C22semidirect
132. #17986148C22semidirect
133. #17986148C22semidirect
134. #17986147C22semidirect
135. #17986147C22semidirect
136. #17986144C22semidirect
137. #17986144C22semidirect
138. #17986143C22semidirect
139. #17986143C22semidirect
140. #17986143C22semidirect
141. #17986143C22semidirect
142. #17986135C22semidirect
143. #17986135C22semidirect
144. #17986134C22semidirect
145. #17986134C22semidirect
146. #17986134C22semidirect
147. #17986134C22semidirect
148. #17986134C22semidirect
149. #17986134C22semidirect
150. #17986133C22semidirect
151. #17986133C22semidirect
153. #17986131C22semidirect
154. #17986131C22semidirect
155. #17986131C22semidirect
156. #17986131C22semidirect
157. #17986131C22semidirect
158. #17986131C22semidirect
159. #17986112C22semidirect
160. #17986112C22semidirect
161. #17986109C22semidirect
162. #17986097C22semidirect
163. C4×#11765852C22semidirect
164. C4×D568C22semidirect
165. C4×D568C22semidirect
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. #17985999C22semidirect
180. #17985994C22semidirect
181. #102×D71C22semidirect
182. #102×D71C22semidirect
183. #102×D71C22semidirect
184. #17985964C22semidirect
185. #17985964C22semidirect
186. #17985961C22semidirect
187. C22⋊C8×D71C22semidirect
188. #542×C71C22semidirect
189. #535×C71C22semidirect
190. #496×C71C22semidirect
191. #495×C71C22semidirect
192. #489×C71C22semidirect
193. #486×C71C22semidirect
194. #464×C71C22semidirect
195. #463×C71C22semidirect
196. #460×C71C22semidirect
197. #459×C71C22semidirect
198. #452×C71C22semidirect
199. #450×C71C22semidirect
200. #449×C71C22semidirect
201. #447×C71C22semidirect
202. #433×C71C22semidirect
210. C2×#11765866C23semidirect
235. C2×D4×D71C23semidirect
244. C2×#11765852C23semidirect
245. C2×#11765852C23semidirect
256. C2×#11765850C23semidirect
257. C2×#11765850C23semidirect
263. C2×#11765848C23semidirect
264. C2×#11765848C23semidirect
267. C2×C8×D71C23semidirect
268. C2×C8×D71C23semidirect
270. #14556125C23semidirect
275. #14556120C23semidirect
304. #14556104C23semidirect
313. #14556103C23semidirect
314. #14556103C23semidirect
342. #14556099C23semidirect
376. C4×D284C23semidirect
377. C4×D284C23semidirect
388. #14556086C23semidirect
391. C4⋊C4×D71C23semidirect
401. #14556062C23semidirect
402. #14556062C23semidirect
403. #14556061C23semidirect
404. #14556061C23semidirect
405. #14556060C23semidirect
406. #14556060C23semidirect
407. #14556059C23semidirect
408. #14556059C23semidirect
409. C4⋊(C71⋊C8)C23semidirect
410. C4⋊(C71⋊C8)C23semidirect
411. #14556052C23semidirect
412. #14556052C23semidirect
413. #14556052C23semidirect
414. #14556052C23semidirect
419. #14556050C23semidirect
420. #14556050C23semidirect
421. #14556050C23semidirect
422. #14556050C23semidirect
427. #14556049C23semidirect
428. #14556049C23semidirect
429. #14556049C23semidirect
430. #14556049C23semidirect
441. (C2×D71)⋊C8C23semidirect
442. (C2×D71)⋊C8C23semidirect
443. (C2×D71)⋊C8C23semidirect
444. (C2×D71)⋊C8C23semidirect
445. #14556039C23semidirect
446. C4×C71⋊C8C23semidirect
449. C2×Q16×C71C23semidirect
452. C2×SD16×C71C23semidirect
453. C2×SD16×C71C23semidirect
456. C2×D8×C71C23semidirect
457. C4⋊Q8×C71C23semidirect
464. #124×C71C23semidirect
473. C4×Q8×C71C23semidirect
474. C4×D4×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
1014. #3224D71semidirect
1027. C71#61609semidirect
1062. #542C2×D71semidirect
1070. #535C2×D71semidirect
1082. #496C2×D71semidirect
1083. #495C2×D71semidirect
1086. #489C2×D71semidirect
1088. #486C2×D71semidirect
1121. #464C2×D71semidirect
1126. #463C2×D71semidirect
1127. #460C2×D71semidirect
1132. #459C2×D71semidirect
1135. #452C2×D71semidirect
1141. #450C2×D71semidirect
1150. #449C2×D71semidirect
1168. #447C2×D71semidirect
1186. #433C2×D71semidirect
1240. C2×Q16C22×D71semidirect
1247. C2×SD16C22×D71semidirect
1248. C2×SD16C22×D71semidirect
1266. C2×D8C22×D71semidirect
1275. C4⋊Q8C22×D71semidirect
1294. #124C22×D71semidirect
1389. C4×Q8C22×D71semidirect
1408. C4×D4C22×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
#226019742
#226005812
#226005482
#226004952
#226004882
#226003682
#226003002
#226001822
#226001522
#226000242
#226000122
#225999552
#225999492
#225998752
#225998262
#225998192
#225993902
#225992032
#225991962
#225991522
#225991322
#225985842
#225985182
#225976482
#225976052
#225975682
#447×D712
#225973862
C71×#32242
#6160971