Finite Group Databasebeta

← #3314×D71 #32873970

Subgroups — #3314×D71 #32873970

Order 18176.

2298 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#554×D71C211yesmaximal, characteristic, complemented
2#546×D71C211yesmaximal, characteristic
3#22600428C211yesmaximal, characteristic, complemented
4#22600427C211yesmaximal, characteristic, complemented
5#22600426C211yesmaximal, characteristic, complemented
6#22600425C211yesmaximal, characteristic, complemented
7#22600424C211yesmaximal, characteristic, complemented
8#22600423C211yesmaximal, characteristic, complemented
9#22600422C211yesmaximal, characteristic, complemented
10#22600421C211yesmaximal, characteristic, complemented
11#22600420C211yesmaximal, characteristic, complemented
12#22600419C211yesmaximal, characteristic, complemented
13#22600418C211yesmaximal, characteristic, complemented
14#22600417C211yesmaximal, characteristic, complemented
15#22600416C211yesmaximal, characteristic, complemented
16#22600415C211yesmaximal, characteristic, complemented
17#22600414C211yesmaximal, characteristic, complemented
18#489×D71C211yesmaximal, characteristic, complemented
19#484×D71C211yesmaximal, characteristic, complemented
20#480×D71C211yesmaximal, characteristic, complemented
21#474×D71C211yesmaximal, characteristic, complemented
22#468×D71C211yesmaximal, characteristic, complemented
23#467×D71C211yesmaximal, characteristic, complemented
24#464×D71C211yesmaximal, characteristic, complemented
25#452×D71C211yesmaximal, characteristic, complemented
26#450×D71C211yesmaximal, characteristic, complemented
27#440×D71C211yesmaximal, characteristic, complemented
28#435×D71C211yesmaximal, characteristic, complemented
29#417×D71C211yesmaximal, characteristic, complemented
30C2×#102×D71C211yesmaximal, characteristic, complemented
31C71×#3314C211yesmaximal, characteristic, complemented
32C2×#41×D71C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C2×Q16×D71C2211yescharacteristic, complemented
35C2×SD16×D71C2211yescharacteristic
36C2×SD16×D71C2211yescharacteristic
37C2×M16×D71C2211yescharacteristic, complemented
38C22×C8×D71C2211yescharacteristic
39#17986710C2211yescharacteristic, complemented
40#17986709C2211yescharacteristic, complemented
41#17986708—21no—
42#17986707C2211yescharacteristic, complemented
43#17986707C2211yescharacteristic, complemented
44#17986706C2211yescharacteristic, complemented
45#17986705—21no—
46#17986704C2211yescharacteristic, complemented
47#17986704C2211yescharacteristic, complemented
48#17986703—21no—
49#17986703—21no—
50#17986646C2211yescharacteristic
51#17986645C2211yescharacteristic
52#17986644C2211yescharacteristic
53#17986643C2211yescharacteristic
54#17986642C2211yescharacteristic
55#17986641—21no—
56#17986640C2211yescharacteristic
57#17986639—21no—
58#17986638—21no—
59#17986637C2211yescharacteristic
60#17986636—21no—
61C4⋊Q8×D71C2211yescharacteristic, complemented
62#125×D71—21no—
63#124×D71C2211yescharacteristic
64#123×D71—21no—
65C22⋊Q8×D71—21no—
66C22⋊Q8×D71—21no—
67C22⋊Q8×D71C2211yescharacteristic
68C22⋊Q8×D71C2211yescharacteristic
69C22⋊Q8×D71C2211yescharacteristic, complemented
70#121×D71—21no—
71#121×D71C2211yescharacteristic
72#120×D71—21no—
73C4×Q8×D71C2211yescharacteristic, complemented
74C4×D4×D71—21no—
75C4×D4×D71C2211yescharacteristic
76C4×D4×D71C2211yescharacteristic
77C2×C4⋊C4×D71C2211yescharacteristic
78C2×C4⋊C4×D71C2211yescharacteristic, complemented
79C2×C22⋊C4×D71—21no—
80#17986361C2211yescharacteristic, complemented
81#17986360C2211yescharacteristic, complemented
82#17986360C2211yescharacteristic, complemented
83#17986359C2211yescharacteristic, complemented
84#17986358C2211yescharacteristic, complemented
85#17986357C2211yescharacteristic, complemented
86#17986357C2211yescharacteristic, complemented
87#17986336C2211yescharacteristic, complemented
88#17986336C2211yescharacteristic, complemented
89#17986335C2211yescharacteristic, complemented
90#17986334C2211yescharacteristic, complemented
91#17986333C2211yescharacteristic, complemented
92#17986333C2211yescharacteristic, complemented
93#17986332C2211yescharacteristic, complemented
94#17986314C2211yescharacteristic, complemented
95#17986314C2211yescharacteristic, complemented
96#17986313C2211yescharacteristic, complemented
97#17986312C2211yescharacteristic, complemented
98#17986311C2211yescharacteristic, complemented
99#17986311C2211yescharacteristic, complemented
100#17986310C2211yescharacteristic, complemented
101#17986280C2211yescharacteristic, complemented
102#17986279C2211yescharacteristic, complemented
103#17986278C2211yescharacteristic, complemented
104#17986278C2211yescharacteristic, complemented
105#17986277C2211yescharacteristic, complemented
106#17986277C2211yescharacteristic, complemented
107#17986276C2211yescharacteristic, complemented
108#17986248C2211yescharacteristic, complemented
109#17986247C2211yescharacteristic, complemented
110#17986246C2211yescharacteristic, complemented
111#17986245C2211yescharacteristic, complemented
112#17986244C2211yescharacteristic, complemented
113#17986243C2211yescharacteristic, complemented
114#17986242C2211yescharacteristic, complemented
115#17986241C2211yescharacteristic, complemented
116#17986240C2211yescharacteristic, complemented
117#17986239C2211yescharacteristic, complemented
118#17986239C2211yescharacteristic, complemented
119#17986238C2211yescharacteristic, complemented
120#17986238C2211yescharacteristic, complemented
121#17986237C2211yescharacteristic, complemented
122#17986224C2211yescharacteristic, complemented
123#17986223C2211yescharacteristic, complemented
124#17986222C2211yescharacteristic, complemented
125#17986221C2211yescharacteristic, complemented
126#17986220C2211yescharacteristic, complemented
127#17986219C2211yescharacteristic, complemented
128#17986218C2211yescharacteristic, complemented
129#17986164C2211yescharacteristic, complemented
130#17986163C2211yescharacteristic, complemented
131#17986162C2211yescharacteristic, complemented
132#17986161C2211yescharacteristic, complemented
133#17986160C2211yescharacteristic, complemented
134#17986159C2211yescharacteristic, complemented
135#17986158C2211yescharacteristic, complemented
136#17986152C2211yescharacteristic, complemented
137#17986151C2211yescharacteristic, complemented
138#17986151C2211yescharacteristic, complemented
139#17986150C2211yescharacteristic, complemented
140#17986149C2211yescharacteristic, complemented
141#17986148C2211yescharacteristic, complemented
142#17986148C2211yescharacteristic, complemented
143#17986102C2211yescharacteristic, complemented
144#17986101C2211yescharacteristic, complemented
145#17986100C2211yescharacteristic, complemented
146#17986099C2211yescharacteristic, complemented
147#17986098C2211yescharacteristic, complemented
148#17986097C2211yescharacteristic, complemented
149#17986096C2211yescharacteristic, complemented
150#17986073C2211yescharacteristic, complemented
151#17986072C2211yescharacteristic, complemented
152#17986071C2211yescharacteristic, complemented
153#17986070C2211yescharacteristic, complemented
154#17986069C2211yescharacteristic, complemented
155#17986068C2211yescharacteristic, complemented
156#17986067C2211yescharacteristic, complemented
157#107×D71C2211yescharacteristic, complemented
158#107×D71C2211yescharacteristic, complemented
159#107×D71C2211yescharacteristic, complemented
160C4⋊C8×D71C2211yescharacteristic, complemented
161#17986001C2211yescharacteristic, complemented
162#17986000C2211yescharacteristic, complemented
163#17985999C2211yescharacteristic, complemented
164#17985999C2211yescharacteristic, complemented
165#17985998C2211yescharacteristic, complemented
166#17985997C2211yescharacteristic, complemented
167#17985997C2211yescharacteristic, complemented
168#103×D71C2211yescharacteristic, complemented
169#103×D71C2211yescharacteristic, complemented
170#103×D71C2211yescharacteristic, complemented
171#103×D71C2211yescharacteristic, complemented
172C2×#14556050C2211yescharacteristic, complemented
173C2×#14556049C2211yescharacteristic, complemented
174C2×#14556048C2211yescharacteristic, complemented
175#102×D71C2211yescharacteristic
176#102×D71C2211yescharacteristic
177#102×D71C2211yescharacteristic
178#102×D71C2211yescharacteristic
179#102×D71C2211yescharacteristic
180#102×D71C2211yescharacteristic
181#102×D71C2211yescharacteristic, complemented
182#102×D71C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#102×D71C2211yescharacteristic, complemented
185C22⋊C8×D71C2211yescharacteristic
186C22⋊C8×D71C2211yescharacteristic, complemented
187#97×D71C2211yescharacteristic, complemented
188#554×C71C2211yescharacteristic, complemented
189#546×C71C2211yescharacteristic
190#489×C71C2211yescharacteristic, complemented
191#484×C71C2211yescharacteristic, complemented
192#480×C71C2211yescharacteristic, complemented
193#474×C71C2211yescharacteristic, complemented
194#468×C71C2211yescharacteristic, complemented
195#467×C71C2211yescharacteristic, complemented
196#464×C71C2211yescharacteristic, complemented
197#452×C71C2211yescharacteristic, complemented
198#450×C71C2211yescharacteristic, complemented
199#440×C71C2211yescharacteristic, complemented
200#435×C71C2211yescharacteristic, complemented
201#417×C71C2211yescharacteristic, complemented
202C2×#102×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204C2×#11765866C2311yescharacteristic
205C2×#11765865—21no—
206C2×#11765865C2311yescharacteristic
207C2×#11765864—21no—
208C2×#11765864C2311yescharacteristic
209#41×D71—24no—
210#41×D71—42no—
211C2×Q8×D71—21no—
212C2×Q8×D71C2311yescharacteristic
213C2×Q8×D71C2311yescharacteristic
214C22×D284C2311yescharacteristic
215C22×C22⋊D71—21no—
216C2×D4×D71—24no—
217C2×D4×D71—21no—
218C2×D4×D71—21no—
219C2×D4×D71—21no—
220C2×D4×D71—21no—
221C2×D4×D71—42no—
222C2×D4×D71D411yescharacteristic
223C2×D4×D71C2311yescharacteristic
224C2×D4×D71C2311yescharacteristic
225C2×D4×D71C2311yescharacteristic
226C2×D4×D71C2311yescharacteristic
227C22×C4×D71—21no—
228C22×C4×D71—21no—
229C22×C4×D71—21no—
230C22×C4×D71—21no—
231C22×C4×D71C2311yescharacteristic
232C22×C4×D71C2311yescharacteristic
233C2×Dic284C2311yescharacteristic, complemented
234C2×#11765855C2311yescharacteristic, complemented
235C2×#11765855C2311yescharacteristic, complemented
236Q16×D71—42no—
237C2×#11765854C2311yescharacteristic
238C2×#11765854C2311yescharacteristic
239C2×#11765853C2311yescharacteristic
240C2×#11765853C2311yescharacteristic
241C2×#11765852C2311yescharacteristic
242C2×#11765852C2311yescharacteristic
243SD16×D71—24no—
244SD16×D71—42no—
245C2×#11765849C2311yescharacteristic, complemented
246C2×#11765848C2311yescharacteristic, complemented
247C2×#11765848C2311yescharacteristic, complemented
248M16×D71—42no—
249C22×C71⋊C8C2311yescharacteristic
250C2×C8×D71—42no—
251C2×C8×D71C2311yescharacteristic
252C2×C8×D71C2311yescharacteristic
253C2×C8×D71C2311yescharacteristic
254C2×C8×D71C2311yescharacteristic
255C2×C8×D71C2311yescharacteristic
256C2×C8×D71C2311yescharacteristic
257#14556128C2311yescharacteristic, complemented
258#14556127—21no—
259#14556127C2311yescharacteristic, complemented
260#14556127C2311yescharacteristic, complemented
261#14556126—21no—
262#14556120—21no—
263#14556119—21no—
264#14556119—21no—
265#14556118—21no—
266#14556118—21no—
267#14556118—21no—
268#14556118—21no—
269#14556117C2311yescharacteristic
270#14556116C2311yescharacteristic
271#14556115C2311yescharacteristic
272#14556114—21no—
273#14556114—21no—
274#14556113—21no—
275#14556113—21no—
276#14556112—21no—
277#14556111—21no—
278#14556110—21no—
279#14556110—21no—
280#14556109—21no—
281#14556108—21no—
282#14556108—21no—
283#14556108C2311yescharacteristic
284#14556108C2311yescharacteristic
285#14556108C2311yescharacteristic, complemented
286#14556107—21no—
287#14556107—21no—
288#14556107C2311yescharacteristic
289#14556107C2311yescharacteristic
290#14556107C2311yescharacteristic, complemented
291#14556106—21no—
292#14556106—21no—
293#14556106—21no—
294#14556106—21no—
295#14556106—21no—
296#14556106—21no—
297#14556106—21no—
298#14556105—21no—
299#14556105—21no—
300#14556105—21no—
301#14556105—21no—
302#14556105—21no—
303#14556105—21no—
304#14556105—21no—
305#14556104—21no—
306#14556104—21no—
307#14556104C2311yescharacteristic
308#14556104C2311yescharacteristic
309#14556104C2311yescharacteristic, complemented
310#14556103—21no—
311#14556103C2311yescharacteristic
312#14556102—21no—
313#14556102C2311yescharacteristic
314#14556101—21no—
315#14556101—21no—
316#14556101—21no—
317#14556100—21no—
318#14556100—21no—
319#14556100—21no—
320#14556099—21no—
321#14556099C2311yescharacteristic
322#14556098—21no—
323#14556098—21no—
324#14556098—21no—
325#14556097—21no—
326#14556096—21no—
327#14556096—21no—
328#14556096—21no—
329Q8×Dic71C2311yescharacteristic, complemented
330C4×Dic142—21no—
331C4×Dic142C2311yescharacteristic, complemented
332#14556093—21no—
333#14556093C2311yescharacteristic, complemented
334C4×D284—21no—
335C4×D284C2311yescharacteristic
336C4×D284C2311yescharacteristic
337D4×Dic71—21no—
338D4×Dic71D411yescharacteristic
339D4×Dic71C2311yescharacteristic
340#14556090—21no—
341#14556090D411yescharacteristic
342#14556090C2311yescharacteristic
343C4×C22⋊D71—21no—
344C4×C22⋊D71—21no—
345C4×C22⋊D71—21no—
346C4×C22⋊D71C2311yescharacteristic
347C4×C22⋊D71C2311yescharacteristic
348(C22⋊D71)⋊C4—21no—
349(C22⋊D71)⋊C4—21no—
350(C22⋊D71)⋊C4—21no—
351(C22⋊D71)⋊C4D411yescharacteristic
352(C22⋊D71)⋊C4D411yescharacteristic
353C2×C4⋊Dic71C2311yescharacteristic
354C2×C4⋊Dic71C2311yescharacteristic, complemented
355C2×Dic71⋊C4—21no—
356C2×Dic71⋊C4—21no—
357C4⋊C4×D71—21no—
358C4⋊C4×D71—21no—
359C4⋊C4×D71—21no—
360C4⋊C4×D71—21no—
361C4⋊C4×D71—21no—
362C4⋊C4×D71—21no—
363C4⋊C4×D71—21no—
364C4⋊C4×D71—21no—
365C4⋊C4×D71—21no—
366C4⋊C4×D71D411yescharacteristic
367C4⋊C4×D71C2311yescharacteristic
368C4⋊C4×D71C2311yescharacteristic
369C4⋊C4×D71C2311yescharacteristic
370C4⋊C4×D71C2311yescharacteristic
371C4⋊C4×D71C2311yescharacteristic
372C4⋊C4×D71C2311yescharacteristic
373C4⋊C4×D71C2311yescharacteristic, complemented
374C4⋊C4×D71C2311yescharacteristic, complemented
375C2×C22⋊Dic71—21no—
376C2×(C2×D71)⋊C4—21no—
377C2×(C2×D71)⋊C4—21no—
378C22⋊C4×D71—21no—
379C22⋊C4×D71—21no—
380C22⋊C4×D71—21no—
381C22⋊C4×D71—21no—
382C22⋊C4×D71—21no—
383C22⋊C4×D71—21no—
384C22⋊C4×D71—21no—
385C22⋊C4×D71—21no—
386C22⋊C4×D71—21no—
387C22⋊C4×D71—21no—
388C22⋊C4×D71—21no—
389C22⋊C4×D71D411yescharacteristic
390C22⋊C4×D71D411yescharacteristic
391C42×D71—21no—
392C42×D71C2311yescharacteristic
393#14556062C2311yescharacteristic, complemented
394#14556062C2311yescharacteristic, complemented
395#14556062C2311yescharacteristic, complemented
396#14556061C2311yescharacteristic, complemented
397#14556061C2311yescharacteristic, complemented
398#14556061C2311yescharacteristic, complemented
399#14556061C2311yescharacteristic, complemented
400#14556061C2311yescharacteristic, complemented
401#14556061C2311yescharacteristic, complemented
402C4⋊(C71⋊C8)C2311yescharacteristic, complemented
403Dic71⋊C8C2311yescharacteristic, complemented
404Dic71⋊C8C2311yescharacteristic, complemented
405#14556053C2311yescharacteristic, complemented
406#14556053C2311yescharacteristic, complemented
407#14556053C2311yescharacteristic, complemented
408#14556053C2311yescharacteristic, complemented
409#14556052C2311yescharacteristic, complemented
410#14556052C2311yescharacteristic, complemented
411#14556052C2311yescharacteristic, complemented
412#14556052C2311yescharacteristic, complemented
413#14556051C2311yescharacteristic, complemented
414#14556051C2311yescharacteristic, complemented
415#14556051C2311yescharacteristic, complemented
416#14556051C2311yescharacteristic, complemented
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556050C2311yescharacteristic
422#14556050C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556049C2311yescharacteristic
427#14556049C2311yescharacteristic
428#14556049C2311yescharacteristic
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431#14556048C2311yescharacteristic
432#14556048C2311yescharacteristic
433#14556048C2311yescharacteristic
434#14556048C2311yescharacteristic
435C22⋊(C71⋊C8)C2311yescharacteristic
436C22⋊(C71⋊C8)C2311yescharacteristic, complemented
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic, complemented
440(C2×D71)⋊C8C2311yescharacteristic, complemented
441#14556039C2311yescharacteristic, complemented
442#14556038C2311yescharacteristic, complemented
443#14556038C2311yescharacteristic, complemented
444C2×#41×C71C2311yescharacteristic
445C22×D4×C71C2311yescharacteristic
446C2×Q16×C71C2311yescharacteristic, complemented
447C2×SD16×C71C2311yescharacteristic
448C2×SD16×C71C2311yescharacteristic
449C2×M16×C71C2311yescharacteristic, complemented
450C22×C8×C71C2311yescharacteristic
451C4⋊Q8×C71C2311yescharacteristic, complemented
452#125×C71—21no—
453#124×C71C2311yescharacteristic
454#123×C71—21no—
455C22⋊Q8×C71—21no—
456C22⋊Q8×C71—21no—
457C22⋊Q8×C71C2311yescharacteristic
458C22⋊Q8×C71C2311yescharacteristic
459C22⋊Q8×C71C2311yescharacteristic, complemented
460#121×C71—21no—
461#121×C71C2311yescharacteristic
462#120×C71—21no—
463C4×Q8×C71C2311yescharacteristic, complemented
464C4×D4×C71—21no—
465C4×D4×C71C2311yescharacteristic
466C4×D4×C71C2311yescharacteristic
467C2×C4⋊C4×C71C2311yescharacteristic
468C2×C4⋊C4×C71C2311yescharacteristic, complemented
469C2×C22⋊C4×C71—21no—
470#107×C71C2311yescharacteristic, complemented
471#107×C71C2311yescharacteristic, complemented
472#107×C71C2311yescharacteristic, complemented
473C4⋊C8×C71C2311yescharacteristic, complemented
474#103×C71C2311yescharacteristic, complemented
475#103×C71C2311yescharacteristic, complemented
476#103×C71C2311yescharacteristic, complemented
477#103×C71C2311yescharacteristic, complemented
478#102×C71C2311yescharacteristic
479#102×C71C2311yescharacteristic
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic
484C22⋊C8×C71C2311yescharacteristic
485C22⋊C8×C71C2311yescharacteristic, complemented
486#97×C71C2311yescharacteristic, complemented
487C23×D71—21no—
488C23×D71—21no—
489C23×D71—21no—
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—44no—
493C23×D71—44no—
494C23×D71—82no—
495C23×D71C2×D411yescharacteristic
496C23×D71C2×D411yescharacteristic
497#11765866—22no—
498#11765866—41no—
499#11765865—22no—
500#11765865—41no—
501#11765865—44no—
502#11765864—22no—
503#11765864—41no—
504#11765864—44no—
505C2×Dic142—21no—
506C2×Dic142—21no—
507C2×Dic142—21no—
508C2×Dic142—21no—
509C2×Dic142—21no—
510C2×Dic142C2411yescharacteristic
511C2×Dic142C2411yescharacteristic
512Q8×D71—22no—
513Q8×D71—22no—
514Q8×D71—22no—
515Q8×D71—22no—
516Q8×D71—82no—
517C2×D284—22no—
518C2×D284—21no—
519C2×D284—21no—
520C2×D284—21no—
521C2×D284—41no—
522C2×D284C2×D411yescharacteristic
523C2×D284C2411yescharacteristic
524C2×D284C2411yescharacteristic
525C2×C22⋊D71—21no—
526C2×C22⋊D71—21no—
527C2×C22⋊D71—21no—
528C2×C22⋊D71—21no—
529C2×C22⋊D71—21no—
530C2×C22⋊D71—21no—
531C2×C22⋊D71—21no—
532C2×C22⋊D71—21no—
533C2×C22⋊D71—44no—
534C2×C22⋊D71C2×D411yescharacteristic
535C2×C22⋊D71C2×D411yescharacteristic
536D4×D71—24no—
537D4×D71—22no—
538D4×D71—22no—
539D4×D71—22no—
540D4×D71—22no—
541D4×D71—22no—
542D4×D71—41no—
543D4×D71—41no—
544D4×D71—44no—
545D4×D71—44no—
546D4×D71—44no—
547D4×D71—82no—
548D4×D71#4114yes—
549C22×Dic71—21no—
550C22×Dic71—21no—
551C22×Dic71—21no—
552C22×Dic71—21no—
553C22×Dic71C2×D411yescharacteristic
554C22×Dic71C2×D411yescharacteristic
555C2×C4×D71—22no—
556C2×C4×D71—22no—
557C2×C4×D71—22no—
558C2×C4×D71—22no—
559C2×C4×D71—21no—
560C2×C4×D71—21no—
561C2×C4×D71—21no—
562C2×C4×D71—21no—
563C2×C4×D71—21no—
564C2×C4×D71—21no—
565C2×C4×D71—21no—
566C2×C4×D71—21no—
567C2×C4×D71—21no—
568C2×C4×D71—21no—
569C2×C4×D71—21no—
570C2×C4×D71—21no—
571C2×C4×D71—21no—
572C2×C4×D71—21no—
573C2×C4×D71—44no—
574C2×C4×D71—82no—
575C2×C4×D71—82no—
576C2×C4×D71—82no—
577C2×C4×D71C2×D411yescharacteristic
578C2×C4×D71C2×D411yescharacteristic
579C2×C4×D71C2×D411yescharacteristic
580C2×C4×D71C2×D411yescharacteristic
581C2×C4×D71C2×D411yescharacteristic
582C2×C4×D71C2×D411yescharacteristic
583C2×C4×D71C2411yescharacteristic
584C2×C4×D71C2411yescharacteristic
585C2×C4×D71C2411yescharacteristic
586Dic284—41no—
587#11765855—41no—
588#11765855—41no—
589#11765854—22no—
590#11765854—41no—
591#11765853—22no—
592#11765853—41no—
593#11765852—22no—
594#11765852—41no—
595#11765849—41no—
596#11765848—41no—
597#11765848—41no—
598C2×C71⋊C8—41no—
599C2×C71⋊C8C2411yescharacteristic
600C2×C71⋊C8C2411yescharacteristic
601C2×C71⋊C8C2411yescharacteristic
602C2×C71⋊C8C2411yescharacteristic
603C8×D71—22no—
604C8×D71—22no—
605C8×D71—22no—
606C8×D71—22no—
607C8×D71—41no—
608C8×D71—41no—
609C4⋊Dic71—21no—
610C4⋊Dic71—21no—
611C4⋊Dic71—21no—
612C4⋊Dic71—21no—
613C4⋊Dic71—21no—
614C4⋊Dic71—21no—
615C4⋊Dic71—21no—
616C4⋊Dic71C2×D411yescharacteristic
617C4⋊Dic71C2411yescharacteristic
618C4⋊Dic71C2411yescharacteristic
619C4⋊Dic71C2411yescharacteristic
620C4⋊Dic71C2411yescharacteristic
621Dic71⋊C4—21no—
622Dic71⋊C4—21no—
623Dic71⋊C4—21no—
624Dic71⋊C4—21no—
625Dic71⋊C4—21no—
626Dic71⋊C4—21no—
627Dic71⋊C4—21no—
628Dic71⋊C4—21no—
629Dic71⋊C4—21no—
630Dic71⋊C4—21no—
631Dic71⋊C4—21no—
632Dic71⋊C4—21no—
633Dic71⋊C4—21no—
634Dic71⋊C4—21no—
635Dic71⋊C4—21no—
636Dic71⋊C4—21no—
637Dic71⋊C4—21no—
638Dic71⋊C4—21no—
639Dic71⋊C4C2×D411yescharacteristic
640Dic71⋊C4C2×D411yescharacteristic
641C22⋊Dic71—21no—
642C22⋊Dic71—21no—
643C22⋊Dic71—21no—
644C22⋊Dic71—21no—
645C22⋊Dic71—21no—
646C22⋊Dic71—21no—
647C22⋊Dic71—21no—
648C22⋊Dic71C2×D411yescharacteristic
649C22⋊Dic71C2×D411yescharacteristic
650(C2×D71)⋊C4—21no—
651(C2×D71)⋊C4—21no—
652(C2×D71)⋊C4—21no—
653(C2×D71)⋊C4—21no—
654(C2×D71)⋊C4—21no—
655(C2×D71)⋊C4—21no—
656(C2×D71)⋊C4—21no—
657(C2×D71)⋊C4—21no—
658(C2×D71)⋊C4—21no—
659(C2×D71)⋊C4—21no—
660(C2×D71)⋊C4—21no—
661(C2×D71)⋊C4—21no—
662(C2×D71)⋊C4—21no—
663(C2×D71)⋊C4—21no—
664(C2×D71)⋊C4C2×D411yescharacteristic
665(C2×D71)⋊C4C2×D411yescharacteristic
666(C2×D71)⋊C4C2×D411yescharacteristic
667(C2×D71)⋊C4C2×D411yescharacteristic
668C4×Dic71—21no—
669C4×Dic71—21no—
670C4×Dic71—21no—
671C4×Dic71C2×D411yescharacteristic
672C4×Dic71C2×D411yescharacteristic
673C4×Dic71C2411yescharacteristic
674C24×C71—21no—
675#41×C71—22no—
676#41×C71—41no—
677C2×Q8×C71—21no—
678C2×Q8×C71C2411yescharacteristic
679C2×Q8×C71C2411yescharacteristic
680C2×D4×C71—22no—
681C2×D4×C71—21no—
682C2×D4×C71—21no—
683C2×D4×C71—21no—
684C2×D4×C71—41no—
685C2×D4×C71C2×D411yescharacteristic
686C2×D4×C71C2411yescharacteristic
687C2×D4×C71C2411yescharacteristic
688C22×C4×C71—21no—
689C22×C4×C71—21no—
690C22×C4×C71—21no—
691C22×C4×C71—21no—
692C22×C4×C71C2411yescharacteristic
693C22×C4×C71C2411yescharacteristic
694Q16×C71—41no—
695SD16×C71—22no—
696SD16×C71—41no—
697M16×C71—41no—
698C2×C8×C71—41no—
699C2×C8×C71C2411yescharacteristic
700C2×C8×C71C2411yescharacteristic
701C2×C8×C71C2411yescharacteristic
702C2×C8×C71C2411yescharacteristic
703C4⋊C4×C71—21no—
704C4⋊C4×C71—21no—
705C4⋊C4×C71—21no—
706C4⋊C4×C71—21no—
707C4⋊C4×C71—21no—
708C4⋊C4×C71—21no—
709C4⋊C4×C71—21no—
710C4⋊C4×C71C2×D411yescharacteristic
711C4⋊C4×C71C2411yescharacteristic
712C4⋊C4×C71C2411yescharacteristic
713C4⋊C4×C71C2411yescharacteristic
714C4⋊C4×C71C2411yescharacteristic
715C22⋊C4×C71—21no—
716C22⋊C4×C71—21no—
717C22⋊C4×C71—21no—
718C22⋊C4×C71—21no—
719C22⋊C4×C71—21no—
720C22⋊C4×C71—21no—
721C22⋊C4×C71—21no—
722C22⋊C4×C71C2×D411yescharacteristic
723C22⋊C4×C71C2×D411yescharacteristic
724C42×C71—21no—
725C42×C71C2411yescharacteristic
726C23×C71—21no—
727C23×C71—21no—
728C23×C71—42no—
729C23×C71—42no—
730C23×C71—81no—
731C23×C71C22×D411yescharacteristic
732C23×C71C22×D411yescharacteristic
733C22×D71—22no—
734C22×D71—22no—
735C22×D71—21no—
736C22×D71—22no—
737C22×D71—24no—
738C22×D71—22no—
739C22×D71—22no—
740C22×D71—21no—
741C22×D71—42no—
742C22×D71—42no—
743C22×D71—42no—
744C22×D71—42no—
745C22×D71—42no—
746C22×D71—42no—
747C22×D71—42no—
748C22×D71—42no—
749C22×D71—42no—
750C22×D71—42no—
751C22×D71—42no—
752C22×D71—81no—
753C22×D71—81no—
754C22×D71—816no—
755C22×D71—81no—
756C22×D71#13714yes—
757C22×D71C22×D411yescharacteristic
758C22×D71C22×D411yescharacteristic
759C22×D71C22×D411yescharacteristic
760Q8×C71—21no—
761Q8×C71—21no—
762Q8×C71—21no—
763Q8×C71—21no—
764Q8×C71—81no—
765D4×C71—22no—
766D4×C71—21no—
767D4×C71—21no—
768D4×C71—21no—
769D4×C71—42no—
770D4×C71—42no—
771D4×C71—81no—
772D4×C71C2×#4112yes—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—21no—
783C2×C4×C71—42no—
784C2×C4×C71—81no—
785C2×C4×C71—81no—
786C2×C4×C71—81no—
787C2×C4×C71C22×D411yescharacteristic
788C2×C4×C71C22×D411yescharacteristic
789C2×C4×C71C22×D411yescharacteristic
790C2×C4×C71C22×D411yescharacteristic
791C2×C4×C71C2511yescharacteristic
792C22⋊D71—22no—
793C22⋊D71—22no—
794C22⋊D71—24no—
795C22⋊D71—42no—
796C22⋊D71—42no—
797C22⋊D71—42no—
798C22⋊D71—42no—
799C22⋊D71—42no—
800C22⋊D71—81no—
801C22⋊D71—81no—
802C2×Dic71—22no—
803C2×Dic71—22no—
804C2×Dic71—21no—
805C2×Dic71—21no—
806C2×Dic71—21no—
807C2×Dic71—21no—
808C2×Dic71—21no—
809C2×Dic71—21no—
810C2×Dic71—42no—
811C2×Dic71—81no—
812C2×Dic71—81no—
813C2×Dic71—81no—
814C2×Dic71C22×D411yescharacteristic
815C2×Dic71C22×D411yescharacteristic
816C2×Dic71C22×D411yescharacteristic
817C2×Dic71C22×D411yescharacteristic
818C2×Dic71C22×D411yescharacteristic
819D284—22no—
820D284—21no—
821D284—21no—
822D284—21no—
823D284—42no—
824D284—42no—
825D284—81no—
826D284C2×#4112yes—
827C4×D71—22no—
828C4×D71—22no—
829C4×D71—22no—
830C4×D71—22no—
831C4×D71—21no—
832C4×D71—21no—
833C4×D71—21no—
834C4×D71—21no—
835C4×D71—22no—
836C4×D71—22no—
837C4×D71—42no—
838C4×D71—42no—
839C4×D71—42no—
840C4×D71—42no—
841C4×D71—42no—
842C4×D71—42no—
843C4×D71—42no—
844C4×D71—42no—
845C4×D71—81no—
846C4×D71—81no—
847C4×D71—81no—
848C4×D71—81no—
849C4×D71—81no—
850C4×D71—81no—
851C4×D71C2×#4112yes—
852C4×D71H(5,𝔽2)12yes—
853Dic142—21no—
854Dic142—21no—
855Dic142—21no—
856Dic142—21no—
857Dic142—42no—
858Dic142—42no—
859Dic142—81no—
860Dic142—81no—
861Dic142—81no—
862C8×C71—21no—
863C8×C71—21no—
864C8×C71—21no—
865C8×C71—21no—
866C71⋊C8—21no—
867C71⋊C8—21no—
868C71⋊C8—21no—
869C71⋊C8—21no—
870C22×C71—21no—
871C22×C71—21no—
872C22×C71—21no—
873C22×C71—22no—
874C22×C71—21no—
875C22×C71—21no—
876C22×C71—41no—
877C22×C71—41no—
878C22×C71—41no—
879C22×C71—41no—
880C22×C71—41no—
881C22×C71—84no—
882C22×C71C2×#13712yes—
883C22×C71C23×D411yescharacteristic
884C2×D71—21no—
885C2×D71—21no—
886C2×D71—28no—
887C2×D71—21no—
888C2×D71—22no—
889C2×D71—21no—
890C2×D71—21no—
891C2×D71—41no—
892C2×D71—41no—
893C2×D71—44no—
894C2×D71—48no—
895C2×D71—41no—
896C2×D71—41no—
897C2×D71—41no—
898C2×D71—84no—
899C2×D71—84no—
900C2×D71—84no—
901C2×D71—84no—
902C2×D71#54612yes—
903C2×D71C2×#13712yes—
904C2×D71C2×#13712yes—
905C2×D71#57612yes—
906C4×C71—21no—
907C4×C71—21no—
908C4×C71—21no—
909C4×C71—21no—
910C4×C71—41no—
911C4×C71—41no—
912C4×C71—41no—
913C4×C71—41no—
914C4×C71—41no—
915C4×C71—41no—
916C4×C71C22×#4111yescharacteristic
917C4×C71C2×H(5,𝔽2)11yescharacteristic
918Dic71—21no—
919Dic71—21no—
920Dic71—21no—
921Dic71—21no—
922Dic71—41no—
923Dic71—41no—
924Dic71—41no—
925Dic71—41no—
926Dic71—41no—
927Dic71—41no—
928Dic71#54612yes—
929C2×#3314—711nomaximal, Sylow
930C2×C71—22no—
931C2×C71—42no—
932C2×C71—41no—
933C2×C71—81no—
934C2×C71C2×#54611yescharacteristic
935C2×C71C22×#13711yescharacteristic
936C2×C71C2×#57611yescharacteristic
937D71—22no—
938D71—41no—
939D71—42no—
940D71—81no—
941D71#331414yesdirect product factor
942C2×#554—711no—
943C2×#546—711no—
944#3314—711no—
945#3314—711no—
946#3314—711no—
947#3314—711no—
948#3314—711no—
949#3314—711no—
950#3314—711no—
951#3314—711no—
952#3314—711no—
953#3314—711no—
954#3314—711no—
955#3314—711no—
956#3314—711no—
957#3314—711no—
958#3314—711no—
959#3314D7111yescharacteristic, direct product factor
960C2×#489—711no—
961C2×#484—711no—
962C2×#480—711no—
963C2×#474—711no—
964C2×#468—711no—
965C2×#467—711no—
966C2×#464—711no—
967C2×#452—711no—
968C2×#450—711no—
969C2×#440—711no—
970C2×#435—711no—
971C2×#417—711no—
972C22×#102—711no—
973C71C2×#331411yescharacteristic, complemented, Sylow
974C22×#41—711no—
975C23×D4—711no—
976C22×Q16—711no—
977C22×SD16—711no—
978C22×SD16—711no—
979C22×M16—711no—
980C23×C8—711no—
981#554—711no—
982#554—711no—
983#554—711no—
984#554—711no—
985#554—711no—
986#554—711no—
987#554—711no—
988#554—1421no—
989#554—1421no—
990#554—1421no—
991#554—1421no—
992#554C2×D7111yescharacteristic, complemented
993#546—711no—
994#546—711no—
995#546—711no—
996#546—711no—
997#546—711no—
998#546—711no—
999#546—711no—
1000#546—1421no—
1001#546—1421no—
1002#546—1421no—
1003#546—1421no—
1004#546C2×D7111yescharacteristic
1005C2×C4⋊Q8—711no—
1006C2×#125—1421no—
1007C2×#124—711no—
1008C2×#123—1421no—
1009C2×C22⋊Q8—711no—
1010C2×C22⋊Q8—711no—
1011C2×C22⋊Q8—711no—
1012C2×C22⋊Q8—1421no—
1013C2×C22⋊Q8—1421no—
1014C2×#121—711no—
1015C2×#121—1421no—
1016C2×#120—1421no—
1017C2×C4×Q8—711no—
1018C2×C4×D4—711no—
1019C2×C4×D4—711no—
1020C2×C4×D4—1421no—
1021C22×C4⋊C4—711no—
1022C22×C4⋊C4—711no—
1023C22×C22⋊C4—1421no—
1024#489—711no—
1025#489—711no—
1026#489—711no—
1027#489—711no—
1028#489—711no—
1029#489—711no—
1030#489—711no—
1031#489C2×D7111yescharacteristic, complemented
1032#484—711no—
1033#484—711no—
1034#484—711no—
1035#484—711no—
1036#484—711no—
1037#484—711no—
1038#484—711no—
1039#484C2×D7111yescharacteristic, complemented
1040#480—711no—
1041#480—711no—
1042#480—711no—
1043#480—711no—
1044#480—711no—
1045#480—711no—
1046#480—711no—
1047#480C2×D7111yescharacteristic, complemented
1048#474—711no—
1049#474—711no—
1050#474—711no—
1051#474—711no—
1052#474—711no—
1053#474—711no—
1054#474—711no—
1055#474C2×D7111yescharacteristic, complemented
1056#468—711no—
1057#468—711no—
1058#468—711no—
1059#468—711no—
1060#468—711no—
1061#468—711no—
1062#468—711no—
1063#468C2×D7111yescharacteristic, complemented
1064#467—711no—
1065#467—711no—
1066#467—711no—
1067#467—711no—
1068#467—711no—
1069#467—711no—
1070#467—711no—
1071#467C2×D7111yescharacteristic, complemented
1072#464—711no—
1073#464—711no—
1074#464—711no—
1075#464—711no—
1076#464—711no—
1077#464—711no—
1078#464—711no—
1079#464C2×D7111yescharacteristic, complemented
1080#452—711no—
1081#452—711no—
1082#452—711no—
1083#452—711no—
1084#452—711no—
1085#452—711no—
1086#452—711no—
1087#452C2×D7111yescharacteristic, complemented
1088#450—711no—
1089#450—711no—
1090#450—711no—
1091#450—711no—
1092#450—711no—
1093#450—711no—
1094#450—711no—
1095#450C2×D7111yescharacteristic, complemented
1096#440—711no—
1097#440—711no—
1098#440—711no—
1099#440—711no—
1100#440—711no—
1101#440—711no—
1102#440—711no—
1103#440C2×D7111yescharacteristic, complemented
1104#435—711no—
1105#435—711no—
1106#435—711no—
1107#435—711no—
1108#435—711no—
1109#435—711no—
1110#435—711no—
1111#435C2×D7111yescharacteristic, complemented
1112C2×#107—711no—
1113C2×#107—711no—
1114C2×#107—711no—
1115C2×C4⋊C8—711no—
1116#417—711no—
1117#417—711no—
1118#417—711no—
1119#417—711no—
1120#417—711no—
1121#417—711no—
1122#417—711no—
1123#417C2×D7111yescharacteristic, complemented
1124C2×#103—711no—
1125C2×#103—711no—
1126C2×#103—711no—
1127C2×#103—711no—
1128C2×#102—711no—
1129C2×#102—711no—
1130C2×#102—711no—
1131C2×#102—711no—
1132C2×#102—711no—
1133C2×#102—711no—
1134C2×#102—711no—
1135C2×#102—711no—
1136C2×#102—711no—
1137C2×#102—711no—
1138C2×#102—711no—
1139C2×#102—711no—
1140C2×#102—711no—
1141C2×#102C2×D7111yescharacteristic, complemented
1142C2×C22⋊C8—711no—
1143C2×C22⋊C8—711no—
1144C2×#97—711no—
1145C25—1421no—
1146C2×#41—2842no—
1147C2×#41—711no—
1148C2×#41—711no—
1149C2×#41—711no—
1150C2×#41—1421no—
1151C2×#41—1424no—
1152C2×#41—1421no—
1153C2×#41C22×D7111yescharacteristic
1154C22×Q8—711no—
1155C22×Q8—711no—
1156C22×Q8—1421no—
1157C22×D4—2842no—
1158C22×D4—711no—
1159C22×D4—711no—
1160C22×D4—711no—
1161C22×D4—711no—
1162C22×D4—711no—
1163C22×D4—711no—
1164C22×D4—1421no—
1165C22×D4—1421no—
1166C22×D4—1421no—
1167C22×D4—1421no—
1168C22×D4—1424no—
1169C22×D4—1421no—
1170C22×D4C22×D7111yescharacteristic
1171C23×C4—711no—
1172C23×C4—711no—
1173C23×C4—1421no—
1174C23×C4—1421no—
1175C23×C4—1421no—
1176C23×C4—1421no—
1177C2×Q16—2842no—
1178C2×Q16—711no—
1179C2×Q16—711no—
1180C2×Q16—711no—
1181C2×Q16C22×D7111yescharacteristic, complemented
1182C2×SD16—2842no—
1183C2×SD16—711no—
1184C2×SD16—711no—
1185C2×SD16—711no—
1186C2×SD16—711no—
1187C2×SD16—711no—
1188C2×SD16—711no—
1189C2×SD16—1424no—
1190C2×SD16C22×D7111yescharacteristic
1191C2×SD16C22×D7111yescharacteristic
1192C2×M16—2842no—
1193C2×M16—711no—
1194C2×M16—711no—
1195C2×M16—711no—
1196C2×M16C22×D7111yescharacteristic, complemented
1197C22×C8—2842no—
1198C22×C8—711no—
1199C22×C8—711no—
1200C22×C8—711no—
1201C22×C8—711no—
1202C22×C8—711no—
1203C22×C8—711no—
1204C22×C8—711no—
1205C22×C8C22×D7111yescharacteristic
1206C4⋊Q8—711no—
1207C4⋊Q8—711no—
1208C4⋊Q8—711no—
1209C4⋊Q8—1421no—
1210C4⋊Q8—1421no—
1211C4⋊Q8C22×D7111yescharacteristic, complemented
1212#125—21no—
1213#125—1421no—
1214#125—1421no—
1215#125—1421no—
1216#125—1421no—
1217#125—1421no—
1218#125—1421no—
1219#125—1421no—
1220#124—711no—
1221#124—711no—
1222#124—711no—
1223#124—1421no—
1224#124—1421no—
1225#124C22×D7111yescharacteristic
1226#123—21no—
1227#123—1421no—
1228#123—1421no—
1229#123—1421no—
1230#123—1421no—
1231#123—1421no—
1232#123—1421no—
1233#123—1421no—
1234C22⋊Q8—21no—
1235C22⋊Q8—21no—
1236C22⋊Q8—711no—
1237C22⋊Q8—711no—
1238C22⋊Q8—711no—
1239C22⋊Q8—711no—
1240C22⋊Q8—711no—
1241C22⋊Q8—711no—
1242C22⋊Q8—711no—
1243C22⋊Q8—711no—
1244C22⋊Q8—711no—
1245C22⋊Q8—1421no—
1246C22⋊Q8—1421no—
1247C22⋊Q8—1421no—
1248C22⋊Q8—1421no—
1249C22⋊Q8—1421no—
1250C22⋊Q8—1421no—
1251C22⋊Q8—1421no—
1252C22⋊Q8—1421no—
1253C22⋊Q8—1421no—
1254C22⋊Q8—1421no—
1255C22⋊Q8—1421no—
1256C22⋊Q8—1421no—
1257C22⋊Q8—1421no—
1258C22⋊Q8—1421no—
1259C22⋊Q8—1421no—
1260C22⋊Q8—1421no—
1261C22⋊Q8—1421no—
1262C22⋊Q8—1421no—
1263C22⋊Q8—1421no—
1264C22⋊Q8—1421no—
1265C22⋊Q8C22×D7111yescharacteristic
1266C22⋊Q8C22×D7111yescharacteristic
1267C22⋊Q8C22×D7111yescharacteristic, complemented
1268#121—21no—
1269#121—711no—
1270#121—711no—
1271#121—711no—
1272#121—1421no—
1273#121—1421no—
1274#121—1421no—
1275#121—1421no—
1276#121—1421no—
1277#121—1421no—
1278#121—1421no—
1279#121—1421no—
1280#121—1421no—
1281#121C22×D7111yescharacteristic
1282#120—21no—
1283#120—1421no—
1284#120—1421no—
1285#120—1421no—
1286#120—1421no—
1287#120—1421no—
1288#120—1421no—
1289#120—1421no—
1290C4×Q8—711no—
1291C4×Q8—711no—
1292C4×Q8—711no—
1293C4×Q8—1421no—
1294C4×Q8—1421no—
1295C4×Q8C22×D7111yescharacteristic, complemented
1296C4×D4—21no—
1297C4×D4—711no—
1298C4×D4—711no—
1299C4×D4—711no—
1300C4×D4—711no—
1301C4×D4—711no—
1302C4×D4—711no—
1303C4×D4—711no—
1304C4×D4—711no—
1305C4×D4—711no—
1306C4×D4—711no—
1307C4×D4—1421no—
1308C4×D4—1421no—
1309C4×D4—1421no—
1310C4×D4—1421no—
1311C4×D4—1421no—
1312C4×D4—1421no—
1313C4×D4—1421no—
1314C4×D4—1421no—
1315C4×D4—1421no—
1316C4×D4C22×D7111yescharacteristic
1317C4×D4C22×D7111yescharacteristic
1318C2×C4⋊C4—711no—
1319C2×C4⋊C4—711no—
1320C2×C4⋊C4—711no—
1321C2×C4⋊C4—711no—
1322C2×C4⋊C4—711no—
1323C2×C4⋊C4—711no—
1324C2×C4⋊C4—711no—
1325C2×C4⋊C4—711no—
1326C2×C4⋊C4—711no—
1327C2×C4⋊C4—711no—
1328C2×C4⋊C4—711no—
1329C2×C4⋊C4—1421no—
1330C2×C4⋊C4—1421no—
1331C2×C4⋊C4—1421no—
1332C2×C4⋊C4—1421no—
1333C2×C4⋊C4—1421no—
1334C2×C4⋊C4—1421no—
1335C2×C4⋊C4—1421no—
1336C2×C4⋊C4—1421no—
1337C2×C4⋊C4—1421no—
1338C2×C4⋊C4—1421no—
1339C2×C4⋊C4—1421no—
1340C2×C4⋊C4C22×D7111yescharacteristic
1341C2×C4⋊C4C22×D7111yescharacteristic, complemented
1342C2×C22⋊C4—21no—
1343C2×C22⋊C4—711no—
1344C2×C22⋊C4—711no—
1345C2×C22⋊C4—1421no—
1346C2×C22⋊C4—1421no—
1347C2×C22⋊C4—1421no—
1348C2×C22⋊C4—1421no—
1349C2×C22⋊C4—1421no—
1350C2×C22⋊C4—1421no—
1351C2×C22⋊C4—1421no—
1352C2×C22⋊C4—1421no—
1353C2×C22⋊C4—1421no—
1354C2×C22⋊C4—1421no—
1355C2×C22⋊C4—1421no—
1356C2×C22⋊C4—1421no—
1357C2×C22⋊C4—1421no—
1358C2×C22⋊C4—1421no—
1359C2×C42—711no—
1360C2×C42—1421no—
1361#107—711no—
1362#107—711no—
1363#107—711no—
1364#107—711no—
1365#107—711no—
1366#107—711no—
1367#107—711no—
1368#107—711no—
1369#107—711no—
1370#107C22×D7111yescharacteristic, complemented
1371#107C22×D7111yescharacteristic, complemented
1372#107C22×D7111yescharacteristic, complemented
1373C4⋊C8—711no—
1374C4⋊C8—711no—
1375C4⋊C8—711no—
1376C4⋊C8C22×D7111yescharacteristic, complemented
1377#103—711no—
1378#103—711no—
1379#103—711no—
1380#103—711no—
1381#103—711no—
1382#103—711no—
1383#103—711no—
1384#103—711no—
1385#103—711no—
1386#103—711no—
1387#103—711no—
1388#103—711no—
1389#103C22×D7111yescharacteristic, complemented
1390#103C22×D7111yescharacteristic, complemented
1391#103C22×D7111yescharacteristic, complemented
1392#103C22×D7111yescharacteristic, complemented
1393#102—711no—
1394#102—711no—
1395#102—711no—
1396#102—711no—
1397#102—711no—
1398#102—711no—
1399#102—711no—
1400#102—711no—
1401#102—711no—
1402#102—711no—
1403#102—711no—
1404#102—711no—
1405#102—711no—
1406#102—711no—
1407#102—711no—
1408#102—711no—
1409#102—711no—
1410#102—711no—
1411#102C22×D7111yescharacteristic
1412#102C22×D7111yescharacteristic
1413#102C22×D7111yescharacteristic
1414#102C22×D7111yescharacteristic
1415#102C22×D7111yescharacteristic
1416#102C22×D7111yescharacteristic
1417C22⋊C8—711no—
1418C22⋊C8—711no—
1419C22⋊C8—711no—
1420C22⋊C8—711no—
1421C22⋊C8—711no—
1422C22⋊C8—711no—
1423C22⋊C8C22×D7111yescharacteristic
1424C22⋊C8C22×D7111yescharacteristic, complemented
1425#97—711no—
1426#97—711no—
1427#97—711no—
1428#97C22×D7111yescharacteristic, complemented
1429C24—21no—
1430C24—2844no—
1431C24—2844no—
1432C24—5682no—
1433C24—711no—
1434C24—711no—
1435C24—1421no—
1436C24—1421no—
1437C24—1421no—
1438C24—1421no—
1439C24—1421no—
1440#41—22no—
1441#41—41no—
1442#41—2841no—
1443#41—2844no—
1444#41—2841no—
1445#41—2844no—
1446#41—2841no—
1447#41—1422no—
1448#41—1422no—
1449#41—1422no—
1450C2×Q8—21no—
1451C2×Q8—5682no—
1452C2×Q8—711no—
1453C2×Q8—711no—
1454C2×Q8—1421no—
1455C2×Q8—1421no—
1456C2×Q8—1421no—
1457C2×Q8—1421no—
1458C2×Q8—1422no—
1459C2×Q8—1422no—
1460C2×Q8—1422no—
1461C2×Q8—1422no—
1462C2×Q8—1421no—
1463C2×Q8C23×D7111yescharacteristic
1464C2×Q8C23×D7111yescharacteristic
1465C2×D4—22no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—21no—
1469C2×D4—41no—
1470C2×D4—2841no—
1471C2×D4—2844no—
1472C2×D4—2841no—
1473C2×D4—2841no—
1474C2×D4—2844no—
1475C2×D4—2844no—
1476C2×D4—2844no—
1477C2×D4—5682no—
1478C2×D4—714no—
1479C2×D4—711no—
1480C2×D4—711no—
1481C2×D4—711no—
1482C2×D4—711no—
1483C2×D4—711no—
1484C2×D4—1421no—
1485C2×D4—1422no—
1486C2×D4—1421no—
1487C2×D4—1422no—
1488C2×D4—1422no—
1489C2×D4—1422no—
1490C2×D4—1421no—
1491C2×D4—1421no—
1492C2×D4—1421no—
1493C2×D4—1421no—
1494C2×D4—1422no—
1495C2×D4—1424no—
1496C2×D4—1421no—
1497C2×D4—1421no—
1498C2×D4—1422no—
1499C2×D4—1421no—
1500C2×D4—1421no—
1501C2×D4—1421no—
1502C2×D4D4×D7111yescharacteristic
1503C2×D4C23×D7111yescharacteristic
1504C2×D4C23×D7111yescharacteristic
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—2844no—
1510C22×C4—5682no—
1511C22×C4—5682no—
1512C22×C4—5682no—
1513C22×C4—711no—
1514C22×C4—711no—
1515C22×C4—711no—
1516C22×C4—711no—
1517C22×C4—711no—
1518C22×C4—711no—
1519C22×C4—711no—
1520C22×C4—711no—
1521C22×C4—711no—
1522C22×C4—711no—
1523C22×C4—711no—
1524C22×C4—1421no—
1525C22×C4—1421no—
1526C22×C4—1421no—
1527C22×C4—1421no—
1528C22×C4—1421no—
1529C22×C4—1421no—
1530C22×C4—1421no—
1531C22×C4—1421no—
1532C22×C4—1421no—
1533C22×C4—1421no—
1534C22×C4—1421no—
1535C22×C4—1421no—
1536C22×C4—1422no—
1537C22×C4—1422no—
1538C22×C4—1422no—
1539C22×C4—1422no—
1540C22×C4—1421no—
1541C22×C4—1421no—
1542C22×C4—1421no—
1543C22×C4—1421no—
1544C22×C4—1421no—
1545C22×C4—1421no—
1546C22×C4C23×D7111yescharacteristic
1547C22×C4C23×D7111yescharacteristic
1548Q16—41no—
1549Q16—2841no—
1550Q16—2841no—
1551Q16—2841no—
1552SD16—22no—
1553SD16—41no—
1554SD16—2841no—
1555SD16—2841no—
1556SD16—2841no—
1557SD16—1422no—
1558SD16—1422no—
1559SD16—1422no—
1560M16—41no—
1561M16—2841no—
1562M16—2841no—
1563M16—2841no—
1564C2×C8—41no—
1565C2×C8—2841no—
1566C2×C8—2841no—
1567C2×C8—2841no—
1568C2×C8—711no—
1569C2×C8—711no—
1570C2×C8—711no—
1571C2×C8—711no—
1572C2×C8—1422no—
1573C2×C8—1422no—
1574C2×C8—1422no—
1575C2×C8—1422no—
1576C2×C8C23×D7111yescharacteristic
1577C2×C8C23×D7111yescharacteristic
1578C2×C8C23×D7111yescharacteristic
1579C2×C8C23×D7111yescharacteristic
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—711no—
1588C4⋊C4—711no—
1589C4⋊C4—711no—
1590C4⋊C4—711no—
1591C4⋊C4—711no—
1592C4⋊C4—711no—
1593C4⋊C4—711no—
1594C4⋊C4—1421no—
1595C4⋊C4—1421no—
1596C4⋊C4—1421no—
1597C4⋊C4—1421no—
1598C4⋊C4—1421no—
1599C4⋊C4—1421no—
1600C4⋊C4—1421no—
1601C4⋊C4—1421no—
1602C4⋊C4—1421no—
1603C4⋊C4—1421no—
1604C4⋊C4—1421no—
1605C4⋊C4—1421no—
1606C4⋊C4—1421no—
1607C4⋊C4—1421no—
1608C4⋊C4—1421no—
1609C4⋊C4—1421no—
1610C4⋊C4—1421no—
1611C4⋊C4—1421no—
1612C4⋊C4—1421no—
1613C4⋊C4—1421no—
1614C4⋊C4—1421no—
1615C4⋊C4—1421no—
1616C4⋊C4—1421no—
1617C4⋊C4—1421no—
1618C4⋊C4—1421no—
1619C4⋊C4D4×D7111yescharacteristic
1620C4⋊C4C23×D7111yescharacteristic
1621C4⋊C4C23×D7111yescharacteristic
1622C4⋊C4C23×D7111yescharacteristic
1623C4⋊C4C23×D7111yescharacteristic
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—711no—
1632C22⋊C4—711no—
1633C22⋊C4—711no—
1634C22⋊C4—711no—
1635C22⋊C4—711no—
1636C22⋊C4—711no—
1637C22⋊C4—1421no—
1638C22⋊C4—1421no—
1639C22⋊C4—1421no—
1640C22⋊C4—1421no—
1641C22⋊C4—1421no—
1642C22⋊C4—1421no—
1643C22⋊C4—1421no—
1644C22⋊C4—1421no—
1645C22⋊C4—1421no—
1646C22⋊C4—1421no—
1647C22⋊C4—1421no—
1648C22⋊C4—1421no—
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⋊C4D4×D7111yescharacteristic
1659C22⋊C4D4×D7111yescharacteristic
1660C42—21no—
1661C42—711no—
1662C42—711no—
1663C42—711no—
1664C42—1421no—
1665C42—1421no—
1666C42—1421no—
1667C42C23×D7111yescharacteristic
1668C23—21no—
1669C23—21no—
1670C23—42no—
1671C23—42no—
1672C23—81no—
1673C23—2842no—
1674C23—2842no—
1675C23—2842no—
1676C23—2842no—
1677C23—2842no—
1678C23—2842no—
1679C23—2842no—
1680C23—2842no—
1681C23—2842no—
1682C23—2842no—
1683C23—2842no—
1684C23—5681no—
1685C23—5681no—
1686C23—5681no—
1687C23—56816no—
1688C23—711no—
1689C23—711no—
1690C23—714no—
1691C23—711no—
1692C23—1424no—
1693C23—1422no—
1694C23—1422no—
1695C23—1422no—
1696C23—1422no—
1697C23—1422no—
1698C23—1421no—
1699C23—1421no—
1700C23C2×D4×D7111yescharacteristic
1701C23C2×D4×D7111yescharacteristic
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—21no—
1706Q8—81no—
1707Q8—2842no—
1708Q8—2842no—
1709Q8—5681no—
1710Q8—5681no—
1711Q8—5681no—
1712Q8—1421no—
1713Q8—1421no—
1714Q8—1421no—
1715Q8—1421no—
1716D4—22no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—42no—
1721D4—42no—
1722D4—81no—
1723D4—2842no—
1724D4—2842no—
1725D4—2842no—
1726D4—2842no—
1727D4—2842no—
1728D4—2842no—
1729D4—2842no—
1730D4—5681no—
1731D4—5681no—
1732D4—5681no—
1733D4—712no—
1734D4—1422no—
1735D4—1424no—
1736D4—1422no—
1737D4—1422no—
1738D4—1421no—
1739D4—1421no—
1740D4—1421no—
1741D4#41×D7112yes—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—42no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—81no—
1756C2×C4—2842no—
1757C2×C4—2842no—
1758C2×C4—2842no—
1759C2×C4—2842no—
1760C2×C4—2842no—
1761C2×C4—2842no—
1762C2×C4—2842no—
1763C2×C4—2842no—
1764C2×C4—2842no—
1765C2×C4—5681no—
1766C2×C4—5681no—
1767C2×C4—5681no—
1768C2×C4—5681no—
1769C2×C4—5681no—
1770C2×C4—5681no—
1771C2×C4—5681no—
1772C2×C4—5681no—
1773C2×C4—5681no—
1774C2×C4—711no—
1775C2×C4—712no—
1776C2×C4—712no—
1777C2×C4—711no—
1778C2×C4—711no—
1779C2×C4—711no—
1780C2×C4—711no—
1781C2×C4—1422no—
1782C2×C4—1422no—
1783C2×C4—1422no—
1784C2×C4—1422no—
1785C2×C4—1422no—
1786C2×C4—1422no—
1787C2×C4—1421no—
1788C2×C4—1421no—
1789C2×C4—1421no—
1790C2×C4—1421no—
1791C2×C4—1421no—
1792C2×C4—1421no—
1793C2×C4—1422no—
1794C2×C4—1422no—
1795C2×C4—1421no—
1796C2×C4—1421no—
1797C2×C4—1421no—
1798C2×C4—1421no—
1799C2×C4C2×D4×D7111yescharacteristic
1800C2×C4C2×D4×D7111yescharacteristic
1801C2×C4C2×D4×D7111yescharacteristic
1802C2×C4C2×D4×D7111yescharacteristic
1803C2×C4C24×D7111yescharacteristic
1804C8—21no—
1805C8—21no—
1806C8—21no—
1807C8—21no—
1808C8—1421no—
1809C8—1421no—
1810C8—1421no—
1811C8—1421no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—22no—
1816C22—21no—
1817C22—21no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—84no—
1824C22—2848no—
1825C22—2844no—
1826C22—2841no—
1827C22—2841no—
1828C22—2841no—
1829C22—2841no—
1830C22—2841no—
1831C22—5684no—
1832C22—5684no—
1833C22—5684no—
1834C22—5684no—
1835C22—712no—
1836C22—712no—
1837C22—712no—
1838C22—712no—
1839C22—1428no—
1840C22—1422no—
1841C22—1421no—
1842C22—1421no—
1843C22—1421no—
1844C22—1421no—
1845C22—1421no—
1846C22#137×D7112yes—
1847C22C22×D4×D7111yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—2841no—
1859C4—2841no—
1860C4—2841no—
1861C4—2841no—
1862C4—2841no—
1863C4—2841no—
1864C4—712no—
1865C4—1421no—
1866C4—1421no—
1867C4—1421no—
1868C4—1421no—
1869C4C2×#41×D7111yescharacteristic
1870C4H(5,𝔽2)×D7111yescharacteristic
1871C2—22no—
1872C2—41no—
1873C2—42no—
1874C2—81no—
1875C2—2842no—
1876C2—2841no—
1877C2—5681no—
1878C2—714no—
1879C2—1422no—
1880C2#546×D7111yescharacteristic
1881C2C2×#137×D7111yescharacteristic
1882C2#576×D7111yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3314C2
socleC22×C71C23×D4
prime radical#546×D71C2
hypercenter#3314D71
hypocenterC71C2×#3314
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #554×D71C2semidirect
3. #22600428C2semidirect
4. #22600427C2semidirect
5. #22600426C2semidirect
6. #22600425C2semidirect
7. #22600424C2semidirect
8. #22600423C2semidirect
9. #22600422C2semidirect
10. #22600421C2semidirect
11. #22600420C2semidirect
12. #22600419C2semidirect
13. #22600418C2semidirect
14. #22600417C2semidirect
15. #22600416C2semidirect
16. #22600415C2semidirect
17. #22600414C2semidirect
18. #489×D71C2semidirect
19. #484×D71C2semidirect
20. #480×D71C2semidirect
21. #474×D71C2semidirect
22. #468×D71C2semidirect
23. #467×D71C2semidirect
24. #464×D71C2semidirect
25. #452×D71C2semidirect
26. #450×D71C2semidirect
27. #440×D71C2semidirect
28. #435×D71C2semidirect
29. #417×D71C2semidirect
30. C2×#102×D71C2semidirect
31. C71×#3314C2semidirect
34. C2×Q16×D71C22semidirect
37. C2×M16×D71C22semidirect
39. #17986710C22semidirect
40. #17986709C22semidirect
42. #17986707C22semidirect
43. #17986707C22semidirect
44. #17986706C22semidirect
46. #17986704C22semidirect
47. #17986704C22semidirect
61. C4⋊Q8×D71C22semidirect
69. C22⋊Q8×D71C22semidirect
73. C4×Q8×D71C22semidirect
78. C2×C4⋊C4×D71C22semidirect
80. #17986361C22semidirect
81. #17986360C22semidirect
82. #17986360C22semidirect
83. #17986359C22semidirect
84. #17986358C22semidirect
85. #17986357C22semidirect
86. #17986357C22semidirect
87. #17986336C22semidirect
88. #17986336C22semidirect
89. #17986335C22semidirect
90. #17986334C22semidirect
91. #17986333C22semidirect
92. #17986333C22semidirect
93. #17986332C22semidirect
94. #17986314C22semidirect
95. #17986314C22semidirect
96. #17986313C22semidirect
97. #17986312C22semidirect
98. #17986311C22semidirect
99. #17986311C22semidirect
100. #17986310C22semidirect
101. #17986280C22semidirect
102. #17986279C22semidirect
103. #17986278C22semidirect
104. #17986278C22semidirect
105. #17986277C22semidirect
106. #17986277C22semidirect
107. #17986276C22semidirect
108. #17986248C22semidirect
109. #17986247C22semidirect
110. #17986246C22semidirect
111. #17986245C22semidirect
112. #17986244C22semidirect
113. #17986243C22semidirect
114. #17986242C22semidirect
115. #17986241C22semidirect
116. #17986240C22semidirect
117. #17986239C22semidirect
118. #17986239C22semidirect
119. #17986238C22semidirect
120. #17986238C22semidirect
121. #17986237C22semidirect
122. #17986224C22semidirect
123. #17986223C22semidirect
124. #17986222C22semidirect
125. #17986221C22semidirect
126. #17986220C22semidirect
127. #17986219C22semidirect
128. #17986218C22semidirect
129. #17986164C22semidirect
130. #17986163C22semidirect
131. #17986162C22semidirect
132. #17986161C22semidirect
133. #17986160C22semidirect
134. #17986159C22semidirect
135. #17986158C22semidirect
136. #17986152C22semidirect
137. #17986151C22semidirect
138. #17986151C22semidirect
139. #17986150C22semidirect
140. #17986149C22semidirect
141. #17986148C22semidirect
142. #17986148C22semidirect
143. #17986102C22semidirect
144. #17986101C22semidirect
145. #17986100C22semidirect
146. #17986099C22semidirect
147. #17986098C22semidirect
148. #17986097C22semidirect
149. #17986096C22semidirect
150. #17986073C22semidirect
151. #17986072C22semidirect
152. #17986071C22semidirect
153. #17986070C22semidirect
154. #17986069C22semidirect
155. #17986068C22semidirect
156. #17986067C22semidirect
157. #107×D71C22semidirect
158. #107×D71C22semidirect
159. #107×D71C22semidirect
160. C4⋊C8×D71C22semidirect
161. #17986001C22semidirect
162. #17986000C22semidirect
163. #17985999C22semidirect
164. #17985999C22semidirect
165. #17985998C22semidirect
166. #17985997C22semidirect
167. #17985997C22semidirect
168. #103×D71C22semidirect
169. #103×D71C22semidirect
170. #103×D71C22semidirect
171. #103×D71C22semidirect
172. C2×#14556050C22semidirect
173. C2×#14556049C22semidirect
174. C2×#14556048C22semidirect
181. #102×D71C22semidirect
182. #102×D71C22semidirect
183. #102×D71C22semidirect
184. #102×D71C22semidirect
186. C22⋊C8×D71C22semidirect
187. #97×D71C22semidirect
188. #554×C71C22semidirect
190. #489×C71C22semidirect
191. #484×C71C22semidirect
192. #480×C71C22semidirect
193. #474×C71C22semidirect
194. #468×C71C22semidirect
195. #467×C71C22semidirect
196. #464×C71C22semidirect
197. #452×C71C22semidirect
198. #450×C71C22semidirect
199. #440×C71C22semidirect
200. #435×C71C22semidirect
201. #417×C71C22semidirect
202. C2×#102×C71C22semidirect
233. C2×Dic284C23semidirect
234. C2×#11765855C23semidirect
235. C2×#11765855C23semidirect
245. C2×#11765849C23semidirect
246. C2×#11765848C23semidirect
247. C2×#11765848C23semidirect
257. #14556128C23semidirect
259. #14556127C23semidirect
260. #14556127C23semidirect
285. #14556108C23semidirect
290. #14556107C23semidirect
309. #14556104C23semidirect
329. Q8×Dic71C23semidirect
331. C4×Dic142C23semidirect
333. #14556093C23semidirect
354. C2×C4⋊Dic71C23semidirect
373. C4⋊C4×D71C23semidirect
374. C4⋊C4×D71C23semidirect
393. #14556062C23semidirect
394. #14556062C23semidirect
395. #14556062C23semidirect
396. #14556061C23semidirect
397. #14556061C23semidirect
398. #14556061C23semidirect
399. #14556061C23semidirect
400. #14556061C23semidirect
401. #14556061C23semidirect
402. C4⋊(C71⋊C8)C23semidirect
403. Dic71⋊C8C23semidirect
404. Dic71⋊C8C23semidirect
405. #14556053C23semidirect
406. #14556053C23semidirect
407. #14556053C23semidirect
408. #14556053C23semidirect
409. #14556052C23semidirect
410. #14556052C23semidirect
411. #14556052C23semidirect
412. #14556052C23semidirect
413. #14556051C23semidirect
414. #14556051C23semidirect
415. #14556051C23semidirect
416. #14556051C23semidirect
436. C22⋊(C71⋊C8)C23semidirect
439. (C2×D71)⋊C8C23semidirect
440. (C2×D71)⋊C8C23semidirect
441. #14556039C23semidirect
442. #14556038C23semidirect
443. #14556038C23semidirect
446. C2×Q16×C71C23semidirect
449. C2×M16×C71C23semidirect
451. C4⋊Q8×C71C23semidirect
459. C22⋊Q8×C71C23semidirect
463. C4×Q8×C71C23semidirect
468. C2×C4⋊C4×C71C23semidirect
470. #107×C71C23semidirect
471. #107×C71C23semidirect
472. #107×C71C23semidirect
473. C4⋊C8×C71C23semidirect
474. #103×C71C23semidirect
475. #103×C71C23semidirect
476. #103×C71C23semidirect
477. #103×C71C23semidirect
485. C22⋊C8×C71C23semidirect
486. #97×C71C23semidirect
941. D71#3314direct (N × H)
959. #3314D71direct (N × H)
973. C71C2×#3314semidirect
992. #554C2×D71semidirect
1031. #489C2×D71semidirect
1039. #484C2×D71semidirect
1047. #480C2×D71semidirect
1055. #474C2×D71semidirect
1063. #468C2×D71semidirect
1071. #467C2×D71semidirect
1079. #464C2×D71semidirect
1087. #452C2×D71semidirect
1095. #450C2×D71semidirect
1103. #440C2×D71semidirect
1111. #435C2×D71semidirect
1123. #417C2×D71semidirect
1141. C2×#102C2×D71semidirect
1181. C2×Q16C22×D71semidirect
1196. C2×M16C22×D71semidirect
1211. C4⋊Q8C22×D71semidirect
1267. C22⋊Q8C22×D71semidirect
1295. C4×Q8C22×D71semidirect
1341. C2×C4⋊C4C22×D71semidirect
1370. #107C22×D71semidirect
1371. #107C22×D71semidirect
1372. #107C22×D71semidirect
1376. C4⋊C8C22×D71semidirect
1389. #103C22×D71semidirect
1390. #103C22×D71semidirect
1391. #103C22×D71semidirect
1392. #103C22×D71semidirect
1424. C22⋊C8C22×D71semidirect
1428. #97C22×D71semidirect

Maximal subgroups

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

subgroupindex
#554×D712
#546×D712
#226004282
#226004272
#226004262
#226004252
#226004242
#226004232
#226004222
#226004212
#226004202
#226004192
#226004182
#226004172
#226004162
#226004152
#226004142
#489×D712
#484×D712
#480×D712
#474×D712
#468×D712
#467×D712
#464×D712
#452×D712
#450×D712
#440×D712
#435×D712
#417×D712
C2×#102×D712
C71×#33142
C2×#331471