Finite Group Databasebeta

← #32882990

Subgroups — #32882990

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#22602661C211yesmaximal, characteristic, complemented
2#22601970C211yesmaximal, characteristic, complemented
3#22600577C211yesmaximal, characteristic, complemented
4#22600548C211yesmaximal, characteristic, complemented
5#22600500C211yesmaximal, characteristic, complemented
6#22600486C211yesmaximal, characteristic, complemented
7#22600363C211yesmaximal, characteristic, complemented
8#22600307C211yesmaximal, characteristic, complemented
9#22600175C211yesmaximal, characteristic, complemented
10#22600146C211yesmaximal, characteristic, complemented
11#22600018C211yesmaximal, characteristic, complemented
12D4×#11765850C211yesmaximal, characteristic, complemented
13#22599963C211yesmaximal, characteristic, complemented
14#22599945C211yesmaximal, characteristic, complemented
15#22599879C211yesmaximal, characteristic, complemented
16#22599820C211yesmaximal, characteristic, complemented
17#22599813C211yesmaximal, characteristic, complemented
18#22599433C211yesmaximal, characteristic, complemented
19#22599385C211yesmaximal, characteristic, complemented
20#22599203C211yesmaximal, characteristic, complemented
21#22599187C211yesmaximal, characteristic, complemented
22#22599157C211yesmaximal, characteristic, complemented
23#22599129C211yesmaximal, characteristic, complemented
24#22598581C211yesmaximal, characteristic, complemented
25#22598522C211yesmaximal, characteristic, complemented
26#22597642C211yesmaximal, characteristic, complemented
27#22597607C211yesmaximal, characteristic, complemented
28#22597564C211yesmaximal, characteristic, complemented
29C2×#17986131C211yesmaximal, characteristic, complemented
30#22597389C211yesmaximal, characteristic, complemented
31C71×#3264C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic, complemented
33C22×D4×D71C2211yescharacteristic, complemented
34C2×#14556152C2211yescharacteristic, complemented
35C2×#14556152C2211yescharacteristic, complemented
36C2×#14556152C2211yescharacteristic, complemented
37C2×#14556149C2211yescharacteristic, complemented
38C22×#11765850C2211yescharacteristic, complemented
39C22×#11765850C2211yescharacteristic, complemented
40#17986744—21no—
41#17986738—21no—
42#17986713C2211yescharacteristic, complemented
43#17986699C2211yescharacteristic, complemented
44#17986689C2211yescharacteristic, complemented
45#17986680—21no—
46#17986669C2211yescharacteristic, complemented
47#17986649C2211yescharacteristic, complemented
48#17986643—21no—
49#17986643C2211yescharacteristic, complemented
50#17986643C2211yescharacteristic, complemented
51#17986642C2211yescharacteristic, complemented
52#17986641—21no—
53#17986640C2211yescharacteristic, complemented
54#17986639—21no—
55#17986637C2211yescharacteristic, complemented
56D4×D284C2211yescharacteristic
57D4×D284C2211yescharacteristic, complemented
58#17986633—21no—
59#17986633C2211yescharacteristic, complemented
60D4×C22⋊D71C2211yescharacteristic, complemented
61#17986631—21no—
62#17986614C2211yescharacteristic, complemented
63#17986603C2211yescharacteristic, complemented
64#17986599—21no—
65#17986584—21no—
66#17986578C2211yescharacteristic, complemented
67#17986567C2211yescharacteristic, complemented
68#17986566C2211yescharacteristic, complemented
69#17986565C2211yescharacteristic, complemented
70#17986564—21no—
71#17986560—21no—
72#17986558—21no—
73#17986557—21no—
74#17986512C2211yescharacteristic, complemented
75#17986509C2211yescharacteristic, complemented
76#17986508C2211yescharacteristic
77C2×#14556099C2211yescharacteristic, complemented
78C2×#14556098—21no—
79#120×D71—21no—
80#17986471C2211yescharacteristic, complemented
81#17986387C2211yescharacteristic, complemented
82#17986380C2211yescharacteristic, complemented
83#17986375C2211yescharacteristic, complemented
84#17986364C2211yescharacteristic, complemented
85#17986360C2211yescharacteristic, complemented
86#17986353C2211yescharacteristic, complemented
87#17986344C2211yescharacteristic, complemented
88#17986343C2211yescharacteristic, complemented
89#17986338C2211yescharacteristic, complemented
90#17986327C2211yescharacteristic, complemented
91#17986325C2211yescharacteristic, complemented
92#17986324C2211yescharacteristic, complemented
93#17986322C2211yescharacteristic, complemented
94#17986321C2211yescharacteristic, complemented
95#17986321C2211yescharacteristic, complemented
96#17986320C2211yescharacteristic, complemented
97#17986319C2211yescharacteristic, complemented
98#17986313C2211yescharacteristic, complemented
99#17986311C2211yescharacteristic, complemented
100#17986300C2211yescharacteristic, complemented
101#17986299C2211yescharacteristic, complemented
102#17986288C2211yescharacteristic, complemented
103#17986277C2211yescharacteristic, complemented
104#17986251C2211yescharacteristic, complemented
105#17986251C2211yescharacteristic, complemented
106#17986251C2211yescharacteristic, complemented
107#17986249C2211yescharacteristic, complemented
108#17986245C2211yescharacteristic, complemented
109#17986242C2211yescharacteristic, complemented
110#17986242C2211yescharacteristic, complemented
111#17986238C2211yescharacteristic, complemented
112#17986234C2211yescharacteristic, complemented
113#17986233C2211yescharacteristic, complemented
114#17986233C2211yescharacteristic, complemented
115#17986232C2211yescharacteristic, complemented
116#17986228C2211yescharacteristic, complemented
117#17986226C2211yescharacteristic, complemented
118#17986218C2211yescharacteristic, complemented
119#17986216C2211yescharacteristic, complemented
120#17986216C2211yescharacteristic, complemented
121#17986213C2211yescharacteristic, complemented
122#17986212C2211yescharacteristic, complemented
123#17986200C2211yescharacteristic, complemented
124#17986194C2211yescharacteristic, complemented
125#17986192C2211yescharacteristic, complemented
126#17986192C2211yescharacteristic, complemented
127#17986191C2211yescharacteristic, complemented
128#17986164C2211yescharacteristic, complemented
129#17986161C2211yescharacteristic, complemented
130#17986158C2211yescharacteristic, complemented
131#17986152C2211yescharacteristic, complemented
132#17986152C2211yescharacteristic, complemented
133#17986151C2211yescharacteristic, complemented
134#17986151C2211yescharacteristic, complemented
135#17986150C2211yescharacteristic, complemented
136#17986145C2211yescharacteristic, complemented
137#17986145C2211yescharacteristic, complemented
138#17986143C2211yescharacteristic, complemented
139#17986143C2211yescharacteristic, complemented
140#17986143C2211yescharacteristic, complemented
141#17986143C2211yescharacteristic, complemented
142#17986143C2211yescharacteristic, complemented
143#17986141C2211yescharacteristic, complemented
144#17986133C2211yescharacteristic, complemented
145#17986133C2211yescharacteristic, complemented
146#17986132C2211yescharacteristic, complemented
147#17986132C2211yescharacteristic, complemented
148#17986131C2211yescharacteristic
149#17986131C2211yescharacteristic, complemented
150#17986131C2211yescharacteristic, complemented
151#17986131C2211yescharacteristic, complemented
152#17986131C2211yescharacteristic, complemented
153#17986131C2211yescharacteristic, complemented
154#17986131C2211yescharacteristic, complemented
155#17986131C2211yescharacteristic, complemented
156#17986131C2211yescharacteristic, complemented
157#17986131C2211yescharacteristic, complemented
158#17986131C2211yescharacteristic, complemented
159#17986131C2211yescharacteristic, complemented
160#17986111C2211yescharacteristic, complemented
161#17986108C2211yescharacteristic, complemented
162#17986101C2211yescharacteristic, complemented
163C4×#11765853C2211yescharacteristic, complemented
164D8×Dic71C2211yescharacteristic, complemented
165C4×#11765850C2211yescharacteristic, complemented
166#17986079C2211yescharacteristic, complemented
167#17986076C2211yescharacteristic, complemented
168#17986075C2211yescharacteristic, complemented
169#17986072C2211yescharacteristic, complemented
170#17986070C2211yescharacteristic, complemented
171#17986067C2211yescharacteristic, complemented
172D4×C71⋊C8C2211yescharacteristic, complemented
173(C22⋊D71)⋊C8C2211yescharacteristic, complemented
174#17986061C2211yescharacteristic, complemented
175#17986059C2211yescharacteristic, complemented
176#17986005C2211yescharacteristic, complemented
177#17986002C2211yescharacteristic, complemented
178#17986002C2211yescharacteristic, complemented
179#17985999C2211yescharacteristic, complemented
180#17985995C2211yescharacteristic, complemented
181C2×#14556050C2211yescharacteristic, complemented
182C2×#14556049C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#17985967C2211yescharacteristic, complemented
185#17985964C2211yescharacteristic, complemented
186#17985961C2211yescharacteristic, complemented
187C2×(C2×D71)⋊C8C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
189C22×D8×C71C2211yescharacteristic, complemented
190#546×C71C2211yescharacteristic
191D42×C71C2211yescharacteristic, complemented
192#496×C71C2211yescharacteristic, complemented
193#469×C71C2211yescharacteristic, complemented
194#465×C71C2211yescharacteristic, complemented
195#463×C71C2211yescharacteristic, complemented
196#459×C71C2211yescharacteristic, complemented
197#450×C71C2211yescharacteristic, complemented
198#449×C71C2211yescharacteristic, complemented
199#447×C71C2211yescharacteristic, complemented
200#447×C71C2211yescharacteristic, complemented
201#442×C71C2211yescharacteristic, complemented
202#435×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204#14556174—42no—
205#14556174—42no—
206C2×#11765866C2311yescharacteristic
207C2×#11765866C2311yescharacteristic
208C2×#11765865—21no—
209C2×#11765865C2311yescharacteristic
210C2×#11765864—21no—
211C2×#11765864C2311yescharacteristic
212C2×#11765864C2311yescharacteristic, complemented
213C22×D284—21no—
214C22×D284—21no—
215C22×D284C2311yescharacteristic
216C22×D284C2311yescharacteristic
217C22×C22⋊D71—21no—
218C22×C22⋊D71—21no—
219C22×C22⋊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
233C22×C4×D71C2311yescharacteristic
234#14556152—42no—
235#14556152—42no—
236#14556152—42no—
237#14556149—42no—
238C2×#11765855C2311yescharacteristic, complemented
239C2×#11765854C2311yescharacteristic
240C2×#11765854C2311yescharacteristic
241C2×#11765854C2311yescharacteristic, complemented
242C2×#11765853C2311yescharacteristic
243C2×#11765853C2311yescharacteristic
244C2×#11765850—42no—
245C2×#11765850—42no—
246C2×#11765850C2311yescharacteristic
247C2×#11765850C2311yescharacteristic
248C2×#11765850C2311yescharacteristic
249C2×#11765850C2311yescharacteristic
250C2×#11765850C2311yescharacteristic
251C2×#11765850C2311yescharacteristic
252C2×#11765850C2311yescharacteristic, complemented
253C2×#11765850C2311yescharacteristic, complemented
254C2×#11765850C2311yescharacteristic, complemented
255C2×#11765848C2311yescharacteristic
256C2×#11765848C2311yescharacteristic
257C2×#11765848C2311yescharacteristic, complemented
258C22×C71⋊C8C2311yescharacteristic
259C22×C71⋊C8C2311yescharacteristic, complemented
260C2×C8×D71C2311yescharacteristic, complemented
261#14556127C2311yescharacteristic, complemented
262#14556125C2311yescharacteristic
263#14556124—21no—
264#14556124—21no—
265#14556124—21no—
266#14556124C2311yescharacteristic
267#14556121—21no—
268#14556121—21no—
269#14556121—21no—
270#14556120C2311yescharacteristic, complemented
271#14556118—21no—
272#14556117C2311yescharacteristic
273#14556115—21no—
274#14556115—21no—
275#14556115C2311yescharacteristic, complemented
276#14556114—21no—
277#14556114—21no—
278#14556114—21no—
279#14556113—21no—
280#14556113—21no—
281#14556113D411yescharacteristic
282#14556111—21no—
283#14556111—21no—
284#14556111—21no—
285#14556110—21no—
286#14556110—21no—
287#14556110—21no—
288#14556110D411yescharacteristic
289#14556109—21no—
290#14556109—21no—
291#14556109—21no—
292#14556109—21no—
293#14556109—21no—
294#14556109—21no—
295#14556108C2311yescharacteristic
296#14556107—21no—
297#14556107C2311yescharacteristic
298#14556107C2311yescharacteristic, complemented
299#14556106D411yescharacteristic
300#14556105—21no—
301#14556105—21no—
302#14556105D411yescharacteristic
303#14556104C2311yescharacteristic
304#14556103—21no—
305#14556103—21no—
306#14556103C2311yescharacteristic
307#14556103C2311yescharacteristic
308#14556102—21no—
309#14556102C2311yescharacteristic
310#14556102C2311yescharacteristic
311#14556101—21no—
312#14556101—21no—
313#14556101—21no—
314#14556101—21no—
315#14556101—21no—
316#14556101—21no—
317#14556101D411yescharacteristic
318#14556100—21no—
319#14556100—21no—
320#14556100—21no—
321#14556100—21no—
322#14556100—21no—
323#14556100—21no—
324#14556100—21no—
325#14556100—21no—
326#14556100—21no—
327#14556100—21no—
328#14556100D411yescharacteristic
329#14556099—21no—
330#14556099—21no—
331#14556099—21no—
332#14556099C2311yescharacteristic
333#14556099C2311yescharacteristic
334#14556099C2311yescharacteristic
335#14556099C2311yescharacteristic
336#14556099C2311yescharacteristic
337#14556099C2311yescharacteristic
338#14556099C2311yescharacteristic, complemented
339#14556099C2311yescharacteristic, complemented
340#14556098—21no—
341#14556098—21no—
342#14556098—21no—
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#14556098D411yescharacteristic
352#14556097—21no—
353#14556097—21no—
354#14556097—21no—
355#14556097—21no—
356#14556097—21no—
357#14556096—21no—
358#14556096—21no—
359#14556096—21no—
360#14556096—21no—
361#14556096—21no—
362#14556096D411yescharacteristic
363C4×Dic142C2311yescharacteristic, complemented
364C4×D284C2311yescharacteristic
365C4×D284C2311yescharacteristic
366D4×Dic71—21no—
367D4×Dic71—21no—
368D4×Dic71C2311yescharacteristic
369D4×Dic71C2311yescharacteristic, complemented
370D4×Dic71C2311yescharacteristic, complemented
371#14556090—21no—
372#14556090C2311yescharacteristic
373C4×C22⋊D71—21no—
374C4×C22⋊D71—21no—
375C4×C22⋊D71C2311yescharacteristic
376C4×C22⋊D71C2311yescharacteristic
377(C22⋊D71)⋊C4—21no—
378(C22⋊D71)⋊C4—21no—
379(C22⋊D71)⋊C4—21no—
380#14556087C2311yescharacteristic, complemented
381#14556086C2311yescharacteristic
382#14556086C2311yescharacteristic
383#14556085C2311yescharacteristic
384#14556084—21no—
385#14556084—21no—
386C2×C4⋊Dic71C2311yescharacteristic
387C4⋊C4×D71C2311yescharacteristic, complemented
388C2×C22⋊Dic71—21no—
389C2×C22⋊Dic71—21no—
390C2×C22⋊Dic71—21no—
391C2×(C2×D71)⋊C4—21no—
392C2×(C2×D71)⋊C4—21no—
393C22⋊C4×D71—21no—
394C22⋊C4×D71—21no—
395C22⋊C4×D71—21no—
396#14556062C2311yescharacteristic, complemented
397#14556062C2311yescharacteristic, complemented
398#14556061C2311yescharacteristic, complemented
399#14556061C2311yescharacteristic, complemented
400#14556060C2311yescharacteristic, complemented
401#14556059C2311yescharacteristic, complemented
402#14556059C2311yescharacteristic, complemented
403C4⋊(C71⋊C8)C2311yescharacteristic, complemented
404Dic71⋊C8C2311yescharacteristic, complemented
405Dic71⋊C8C2311yescharacteristic, complemented
406#14556053C2311yescharacteristic, complemented
407#14556052C2311yescharacteristic, complemented
408#14556052C2311yescharacteristic, complemented
409#14556052C2311yescharacteristic, complemented
410#14556051C2311yescharacteristic, complemented
411#14556050C2311yescharacteristic
412#14556050C2311yescharacteristic
413#14556050C2311yescharacteristic
414#14556050C2311yescharacteristic
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic, complemented
418#14556050C2311yescharacteristic, complemented
419#14556050C2311yescharacteristic, complemented
420#14556049C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556049C2311yescharacteristic, complemented
427#14556049C2311yescharacteristic, complemented
428#14556049C2311yescharacteristic, complemented
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431#14556048C2311yescharacteristic, complemented
432C22⋊(C71⋊C8)C2311yescharacteristic
433C22⋊(C71⋊C8)C2311yescharacteristic, complemented
434(C2×D71)⋊C8C2311yescharacteristic
435(C2×D71)⋊C8C2311yescharacteristic
436(C2×D71)⋊C8C2311yescharacteristic
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic
440(C2×D71)⋊C8C2311yescharacteristic, complemented
441(C2×D71)⋊C8C2311yescharacteristic, complemented
442#14556038C2311yescharacteristic, complemented
443C4×C71⋊C8C2311yescharacteristic, complemented
444C8×Dic71C2311yescharacteristic, complemented
445C2×#41×C71C2311yescharacteristic
446C22×D4×C71—21no—
447C22×D4×C71C2311yescharacteristic
448C22×D4×C71C2311yescharacteristic
449C22×D4×C71C2311yescharacteristic, complemented
450AGL(1,ℤ/8)×C71—42no—
451C2×SD16×C71C2311yescharacteristic, complemented
452C2×SD16×C71C2311yescharacteristic, complemented
453C2×SD16×C71C2311yescharacteristic, complemented
454C2×D8×C71—42no—
455C2×D8×C71C2311yescharacteristic
456C2×D8×C71C2311yescharacteristic
457C2×D8×C71C2311yescharacteristic
458C2×D8×C71C2311yescharacteristic
459C2×D8×C71C2311yescharacteristic
460C2×D8×C71C2311yescharacteristic
461C2×M16×C71C2311yescharacteristic, complemented
462C22×C8×C71C2311yescharacteristic
463#127×C71C2311yescharacteristic, complemented
464#124×C71C2311yescharacteristic
465#123×C71—21no—
466C22⋊Q8×C71C2311yescharacteristic
467#121×C71—21no—
468#121×C71—21no—
469#121×C71C2311yescharacteristic
470#121×C71C2311yescharacteristic
471#121×C71C2311yescharacteristic, complemented
472#120×C71—21no—
473#120×C71—21no—
474#120×C71—21no—
475C4×D4×C71C2311yescharacteristic
476C4×D4×C71C2311yescharacteristic
477C4×D4×C71C2311yescharacteristic, complemented
478C2×C22⋊C4×C71—21no—
479#106×C71C2311yescharacteristic, complemented
480C4⋊C8×C71C2311yescharacteristic, complemented
481#103×C71C2311yescharacteristic, complemented
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic
484#102×C71C2311yescharacteristic, complemented
485#102×C71C2311yescharacteristic, complemented
486#102×C71C2311yescharacteristic, complemented
487C22⋊C8×C71C2311yescharacteristic
488C22⋊C8×C71C2311yescharacteristic, complemented
489#97×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—44no—
498C23×D71—82no—
499C23×D71—82no—
500C23×D71C2×D411yescharacteristic
501#11765866—22no—
502#11765866—41no—
503#11765866—41no—
504#11765866—41no—
505#11765865—41no—
506#11765865—41no—
507#11765865—44no—
508#11765864—41no—
509#11765864—41no—
510#11765864—41no—
511#11765864—41no—
512#11765864—82no—
513C2×Dic142—21no—
514C2×Dic142C2×D411yescharacteristic
515C2×Dic142C2411yescharacteristic
516C2×D284—22no—
517C2×D284—22no—
518C2×D284—21no—
519C2×D284—21no—
520C2×D284—21no—
521C2×D284—21no—
522C2×D284—21no—
523C2×D284—21no—
524C2×D284—21no—
525C2×D284—21no—
526C2×D284—41no—
527C2×D284—41no—
528C2×D284—44no—
529C2×D284—82no—
530C2×D284C2×D411yescharacteristic
531C2×D284C2×D411yescharacteristic
532C2×D284C2411yescharacteristic
533C2×D284C2411yescharacteristic
534C2×D284C2411yescharacteristic
535C2×C22⋊D71—21no—
536C2×C22⋊D71—21no—
537C2×C22⋊D71—21no—
538C2×C22⋊D71—21no—
539C2×C22⋊D71—21no—
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—44no—
555C2×C22⋊D71—82no—
556C2×C22⋊D71—82no—
557C2×C22⋊D71C2×D411yescharacteristic
558C2×C22⋊D71C2×D411yescharacteristic
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—41no—
567D4×D71—41no—
568D4×D71—41no—
569D4×D71—41no—
570D4×D71—41no—
571D4×D71—44no—
572D4×D71—44no—
573D4×D71—44no—
574D4×D71—44no—
575D4×D71—82no—
576D4×D71—82no—
577C22×Dic71—21no—
578C22×Dic71—21no—
579C22×Dic71—21no—
580C22×Dic71—21no—
581C22×Dic71—21no—
582C22×Dic71—21no—
583C22×Dic71C2×D411yescharacteristic
584C2×C4×D71—21no—
585C2×C4×D71—21no—
586C2×C4×D71—21no—
587C2×C4×D71—21no—
588C2×C4×D71—21no—
589C2×C4×D71—41no—
590C2×C4×D71—41no—
591C2×C4×D71C2×D411yescharacteristic
592C2×C4×D71C2×D411yescharacteristic
593C2×C4×D71C2411yescharacteristic
594C2×C4×D71C2411yescharacteristic
595C2×C4×D71C2411yescharacteristic
596#11765855—41no—
597#11765854—22no—
598#11765854—41no—
599#11765854—41no—
600#11765853—22no—
601#11765853—41no—
602#11765850—22no—
603#11765850—22no—
604#11765850—22no—
605#11765850—41no—
606#11765850—41no—
607#11765850—41no—
608#11765850—41no—
609#11765850—41no—
610#11765850—41no—
611#11765848—41no—
612#11765848—41no—
613#11765848—41no—
614C2×C71⋊C8—41no—
615C2×C71⋊C8—41no—
616C2×C71⋊C8C2411yescharacteristic
617C2×C71⋊C8C2411yescharacteristic
618C2×C71⋊C8C2411yescharacteristic
619C2×C71⋊C8C2411yescharacteristic
620C8×D71—41no—
621C4⋊Dic71—21no—
622C4⋊Dic71—21no—
623C4⋊Dic71C2×D411yescharacteristic
624C4⋊Dic71C2411yescharacteristic
625C4⋊Dic71C2411yescharacteristic
626C4⋊Dic71C2411yescharacteristic
627C4⋊Dic71C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
637Dic71⋊C4C2×D411yescharacteristic
638Dic71⋊C4C2×D411yescharacteristic
639Dic71⋊C4C2×D411yescharacteristic
640C22⋊Dic71—21no—
641C22⋊Dic71—21no—
642C22⋊Dic71—21no—
643C22⋊Dic71—21no—
644C22⋊Dic71—21no—
645C22⋊Dic71—21no—
646C22⋊Dic71—21no—
647C22⋊Dic71—21no—
648C22⋊Dic71—21no—
649C22⋊Dic71—21no—
650C22⋊Dic71—21no—
651C22⋊Dic71—21no—
652C22⋊Dic71—21no—
653C22⋊Dic71—21no—
654C22⋊Dic71—21no—
655C22⋊Dic71—21no—
656C22⋊Dic71C2×D411yescharacteristic
657C22⋊Dic71C2×D411yescharacteristic
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)⋊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)⋊C4C2×D411yescharacteristic
671(C2×D71)⋊C4C2×D411yescharacteristic
672(C2×D71)⋊C4C2×D411yescharacteristic
673(C2×D71)⋊C4C2×D411yescharacteristic
674(C2×D71)⋊C4C2×D411yescharacteristic
675(C2×D71)⋊C4C2×D411yescharacteristic
676C4×Dic71—21no—
677C4×Dic71—21no—
678C4×Dic71—21no—
679C4×Dic71—21no—
680C4×Dic71C2411yescharacteristic
681C24×C71—21no—
682C24×C71—21no—
683C24×C71—21no—
684#41×C71—22no—
685#41×C71—41no—
686C2×Q8×C71C2411yescharacteristic
687C2×D4×C71—22no—
688C2×D4×C71—21no—
689C2×D4×C71—21no—
690C2×D4×C71—21no—
691C2×D4×C71—21no—
692C2×D4×C71—21no—
693C2×D4×C71—21no—
694C2×D4×C71—21no—
695C2×D4×C71—21no—
696C2×D4×C71—21no—
697C2×D4×C71—41no—
698C2×D4×C71—41no—
699C2×D4×C71—41no—
700C2×D4×C71—41no—
701C2×D4×C71—41no—
702C2×D4×C71—82no—
703C2×D4×C71C2×D411yescharacteristic
704C2×D4×C71C2411yescharacteristic
705C2×D4×C71C2411yescharacteristic
706C2×D4×C71C2411yescharacteristic
707C2×D4×C71C2411yescharacteristic
708C2×D4×C71C2411yescharacteristic
709C22×C4×C71—21no—
710C22×C4×C71—21no—
711C22×C4×C71—21no—
712C22×C4×C71C2411yescharacteristic
713C22×C4×C71C2411yescharacteristic
714SD16×C71—41no—
715SD16×C71—41no—
716SD16×C71—41no—
717D8×C71—22no—
718D8×C71—22no—
719D8×C71—22no—
720D8×C71—41no—
721D8×C71—41no—
722D8×C71—41no—
723M16×C71—41no—
724C2×C8×C71—41no—
725C2×C8×C71C2411yescharacteristic
726C2×C8×C71C2411yescharacteristic
727C2×C8×C71C2411yescharacteristic
728C2×C8×C71C2411yescharacteristic
729C4⋊C4×C71—21no—
730C4⋊C4×C71C2×D411yescharacteristic
731C4⋊C4×C71C2411yescharacteristic
732C4⋊C4×C71C2411yescharacteristic
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×C71—21no—
740C22⋊C4×C71—21no—
741C22⋊C4×C71C2×D411yescharacteristic
742C22⋊C4×C71C2×D411yescharacteristic
743C42×C71C2411yescharacteristic
744C23×C71—21no—
745C23×C71—21no—
746C23×C71—21no—
747C23×C71—21no—
748C23×C71—21no—
749C23×C71—42no—
750C23×C71—42no—
751C23×C71—42no—
752C23×C71—81no—
753C23×C71—81no—
754C23×C71—81no—
755C23×C71—81no—
756C23×C71—81no—
757C23×C71—81no—
758C23×C71C22×D411yescharacteristic
759C23×C71C22×D411yescharacteristic
760C22×D71—22no—
761C22×D71—21no—
762C22×D71—24no—
763C22×D71—21no—
764C22×D71—21no—
765C22×D71—41no—
766C22×D71—41no—
767C22×D71—42no—
768C22×D71—42no—
769C22×D71—42no—
770C22×D71—42no—
771C22×D71—42no—
772C22×D71—42no—
773C22×D71—42no—
774C22×D71—42no—
775C22×D71—42no—
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—81no—
787C22×D71—816no—
788C22×D71C22×D411yescharacteristic
789C22×D71C22×D411yescharacteristic
790C22×D71C22×D411yescharacteristic
791Q8×C71—21no—
792Q8×C71—21no—
793D4×C71—22no—
794D4×C71—21no—
795D4×C71—21no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—21no—
799D4×C71—21no—
800D4×C71—21no—
801D4×C71—21no—
802D4×C71—21no—
803D4×C71—42no—
804D4×C71—42no—
805D4×C71—42no—
806D4×C71—81no—
807D4×C71—81no—
808D4×C71—81no—
809D4×C71—81no—
810D4×C71—81no—
811D4×C71—81no—
812D4×C71H(5,𝔽2)12yes—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—21no—
816C2×C4×C71—21no—
817C2×C4×C71—21no—
818C2×C4×C71—21no—
819C2×C4×C71—21no—
820C2×C4×C71—42no—
821C2×C4×C71—81no—
822C2×C4×C71—81no—
823C2×C4×C71C22×D411yescharacteristic
824C2×C4×C71C22×D411yescharacteristic
825C2×C4×C71C22×D411yescharacteristic
826C2×C4×C71C22×D411yescharacteristic
827C2×C4×C71C2511yescharacteristic
828C22⋊D71—24no—
829C22⋊D71—22no—
830C22⋊D71—41no—
831C22⋊D71—41no—
832C22⋊D71—41no—
833C22⋊D71—42no—
834C22⋊D71—42no—
835C22⋊D71—42no—
836C22⋊D71—42no—
837C22⋊D71—42no—
838C22⋊D71—81no—
839C22⋊D71—81no—
840C22⋊D71—81no—
841C22⋊D71—81no—
842C22⋊D71—81no—
843C22⋊D71—81no—
844C22⋊D71—81no—
845C22⋊D71—81no—
846C22⋊D71—81no—
847C22⋊D71—81no—
848C22⋊D71—81no—
849C22⋊D71—81no—
850C22⋊D71—81no—
851C2×Dic71—21no—
852C2×Dic71—21no—
853C2×Dic71—21no—
854C2×Dic71—21no—
855C2×Dic71—21no—
856C2×Dic71—41no—
857C2×Dic71—42no—
858C2×Dic71—81no—
859C2×Dic71—81no—
860C2×Dic71—81no—
861C2×Dic71—81no—
862C2×Dic71—81no—
863C2×Dic71C22×D411yescharacteristic
864C2×Dic71C22×D411yescharacteristic
865C2×Dic71C22×D411yescharacteristic
866C2×Dic71C22×D411yescharacteristic
867C2×Dic71C22×D411yescharacteristic
868D284—21no—
869D284—21no—
870D284—21no—
871D284—21no—
872D284—21no—
873D284—41no—
874D284—41no—
875D284—42no—
876D284—42no—
877D284—42no—
878D284—42no—
879D284—42no—
880D284—81no—
881D284—81no—
882D284—81no—
883D284H(5,𝔽2)12yes—
884C4×D71—21no—
885C4×D71—21no—
886C4×D71—21no—
887C4×D71—21no—
888C4×D71—21no—
889C4×D71—21no—
890C4×D71—41no—
891C4×D71—41no—
892C4×D71—42no—
893C4×D71—42no—
894C4×D71—81no—
895C4×D71—81no—
896C4×D71—81no—
897Dic142—21no—
898Dic142—21no—
899Dic142—41no—
900Dic142—81no—
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—22no—
913C22×C71—21no—
914C22×C71—21no—
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—41no—
925C22×C71—41no—
926C22×C71—41no—
927C22×C71—41no—
928C22×C71—41no—
929C22×C71—84no—
930C22×C71—162no—
931C22×C71—162no—
932C22×C71#57612yes—
933C22×C71C23×D411yescharacteristic
934C2×D71—21no—
935C2×D71—21no—
936C2×D71—21no—
937C2×D71—21no—
938C2×D71—21no—
939C2×D71—21no—
940C2×D71—22no—
941C2×D71—21no—
942C2×D71—21no—
943C2×D71—21no—
944C2×D71—44no—
945C2×D71—41no—
946C2×D71—41no—
947C2×D71—41no—
948C2×D71—41no—
949C2×D71—41no—
950C2×D71—41no—
951C2×D71—41no—
952C2×D71—41no—
953C2×D71—84no—
954C2×D71—84no—
955C2×D71—84no—
956C2×D71—84no—
957C2×D71—84no—
958C2×D71—162no—
959C2×D71—162no—
960C4×C71—21no—
961C4×C71—21no—
962C4×C71—21no—
963C4×C71—21no—
964C4×C71—41no—
965C4×C71—41no—
966C4×C71—41no—
967C4×C71C2×H(5,𝔽2)11yescharacteristic
968C4×C71C2×H(5,𝔽2)11yescharacteristic
969Dic71—21no—
970Dic71—21no—
971Dic71—21no—
972Dic71—21no—
973Dic71—21no—
974Dic71—41no—
975Dic71—41no—
976Dic71—41no—
977Dic71—41no—
978Dic71—41no—
979#61609—711nomaximal, Sylow
980C2×C71—22no—
981C2×C71—42no—
982C2×C71—41no—
983C2×C71—81no—
984C2×C71—81no—
985C2×C71—81no—
986C2×C71—81no—
987C2×C71#348411yescharacteristic
988C2×C71C2×#57611yescharacteristic
989C2×C71#358511yescharacteristic
990D71—41no—
991D71—41no—
992D71—41no—
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#3264D7111yescharacteristic, complemented
1014#3224—711no—
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)C2×D7111yescharacteristic, complemented
1034C2×#135—711no—
1035C22×D8—711no—
1036C22×D8—711no—
1037C22×D8C2×D7111yescharacteristic, complemented
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—1421no—
1052#546—1421no—
1053#546—1421no—
1054#546C2×D7111yescharacteristic
1055D42—711no—
1056D42—711no—
1057D42—711no—
1058D42—711no—
1059D42—1421no—
1060D42—1421no—
1061D42C2×D7111yescharacteristic, complemented
1062#542—711no—
1063#540—711no—
1064#540—1421no—
1065#538—1421no—
1066#537—711no—
1067#535—711no—
1068#535—711no—
1069#535—711no—
1070#535—1421no—
1071#534—1421no—
1072#534—1421no—
1073#534—1421no—
1074#525—711no—
1075#525—711no—
1076#525—711no—
1077C2×#121—711no—
1078C2×#120—1421no—
1079C2×#120—1421no—
1080#518—711no—
1081#496—711no—
1082#496C2×D7111yescharacteristic, complemented
1083#495—711no—
1084#493—711no—
1085#490—711no—
1086#489—711no—
1087#488—711no—
1088#486—711no—
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#469C2×D7111yescharacteristic, complemented
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#465C2×D7111yescharacteristic, complemented
1121#464—711no—
1122#463—711no—
1123#463—711no—
1124#463—711no—
1125#463—711no—
1126#463C2×D7111yescharacteristic, complemented
1127#460—711no—
1128#459—711no—
1129#459—711no—
1130#459—711no—
1131#459—711no—
1132#459C2×D7111yescharacteristic, complemented
1133#452—711no—
1134#452—711no—
1135#452—711no—
1136#450—711no—
1137#450—711no—
1138#450—711no—
1139#450—711no—
1140#450—711no—
1141#450C2×D7111yescharacteristic, complemented
1142#449—711no—
1143#449—711no—
1144#449—711no—
1145#449—711no—
1146#449—711no—
1147#449—711no—
1148#449—711no—
1149#449—711no—
1150#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#447C2×D7111yescharacteristic, complemented
1168#447C2×D7111yescharacteristic, complemented
1169#442—711no—
1170#442—711no—
1171#442C2×D7111yescharacteristic, complemented
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#435C2×D7111yescharacteristic, complemented
1183C8×D4—711no—
1184C8×D4—711no—
1185#433—711no—
1186#433—711no—
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—21no—
1211C22×D4—2842no—
1212C22×D4—2842no—
1213C22×D4—711no—
1214C22×D4—711no—
1215C22×D4—711no—
1216C22×D4—711no—
1217C22×D4—711no—
1218C22×D4—711no—
1219C22×D4—711no—
1220C22×D4—1421no—
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×D4C22×D7111yescharacteristic
1232C22×D4C22×D7111yescharacteristic
1233C22×D4C22×D7111yescharacteristic, complemented
1234C23×C4—711no—
1235AGL(1,ℤ/8)—42no—
1236AGL(1,ℤ/8)—2842no—
1237AGL(1,ℤ/8)—2842no—
1238AGL(1,ℤ/8)—2842no—
1239#135—2842no—
1240C2×Q16—711no—
1241C2×SD16—711no—
1242C2×SD16—711no—
1243C2×SD16—711no—
1244C2×SD16—711no—
1245C2×SD16—711no—
1246C2×SD16C22×D7111yescharacteristic, complemented
1247C2×SD16C22×D7111yescharacteristic, complemented
1248C2×SD16C22×D7111yescharacteristic, complemented
1249C2×D8—42no—
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×D8C22×D7111yescharacteristic
1262C2×D8C22×D7111yescharacteristic
1263C2×D8C22×D7111yescharacteristic
1264C2×D8C22×D7111yescharacteristic
1265C2×D8C22×D7111yescharacteristic
1266C2×D8C22×D7111yescharacteristic
1267C2×M16—711no—
1268C2×M16—711no—
1269C2×M16—711no—
1270C2×M16C22×D7111yescharacteristic, complemented
1271C22×C8—711no—
1272C22×C8—711no—
1273C22×C8—711no—
1274C22×C8C22×D7111yescharacteristic
1275C4⋊Q8—711no—
1276#127—711no—
1277#127—711no—
1278#127—1421no—
1279#127—1421no—
1280#127—1421no—
1281#127C22×D7111yescharacteristic, complemented
1282#126—1421no—
1283#126—1421no—
1284#126—1421no—
1285#125—711no—
1286#125—1421no—
1287#124—711no—
1288#124—711no—
1289#124—1421no—
1290#124—1421no—
1291#124—1421no—
1292#124—1421no—
1293#124—1421no—
1294#124C22×D7111yescharacteristic
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—711no—
1313C22⋊Q8—711no—
1314C22⋊Q8—711no—
1315C22⋊Q8—711no—
1316C22⋊Q8—711no—
1317C22⋊Q8—711no—
1318C22⋊Q8—1421no—
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—1421no—
1339#121—1421no—
1340#121—1421no—
1341#121—1421no—
1342#121—1421no—
1343#121—1421no—
1344#121—1421no—
1345#121—1421no—
1346#121—1421no—
1347#121—1421no—
1348#121—1421no—
1349#121—1421no—
1350#121—1421no—
1351#121—1421no—
1352#121—1421no—
1353#121—1421no—
1354#121—1421no—
1355#121—1421no—
1356#121—1421no—
1357#121—1421no—
1358#121—1421no—
1359#121—1421no—
1360#121C22×D7111yescharacteristic
1361#121C22×D7111yescharacteristic
1362#121C22×D7111yescharacteristic, complemented
1363#120—21no—
1364#120—21no—
1365#120—21no—
1366#120—711no—
1367#120—711no—
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×Q8—711no—
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—1421no—
1399C4×D4—1421no—
1400C4×D4—1421no—
1401C4×D4—1421no—
1402C4×D4—1421no—
1403C4×D4—1421no—
1404C4×D4—1421no—
1405C4×D4—1421no—
1406C4×D4C22×D7111yescharacteristic
1407C4×D4C22×D7111yescharacteristic
1408C4×D4C22×D7111yescharacteristic, complemented
1409#117—711no—
1410#117—711no—
1411#117—711no—
1412#117—711no—
1413#117—1421no—
1414#117—1421no—
1415C2×C4⋊C4—711no—
1416C2×C4⋊C4—711no—
1417C2×C22⋊C4—21no—
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#106C22×D7111yescharacteristic, complemented
1434C4⋊C8—711no—
1435C4⋊C8—711no—
1436C4⋊C8—711no—
1437C4⋊C8C22×D7111yescharacteristic, complemented
1438#103—711no—
1439#103—711no—
1440#103—711no—
1441#103—711no—
1442#103—711no—
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#102—711no—
1465#102C22×D7111yescharacteristic
1466#102C22×D7111yescharacteristic
1467#102C22×D7111yescharacteristic, complemented
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, complemented
1482#97—711no—
1483#97C22×D7111yescharacteristic, complemented
1484C4×C8—711no—
1485C4×C8—711no—
1486C24—21no—
1487C24—21no—
1488C24—21no—
1489C24—2844no—
1490C24—5682no—
1491C24—5682no—
1492C24—711no—
1493C24—1421no—
1494C24—1421no—
1495C24—1421no—
1496C24—1421no—
1497C24—1421no—
1498C24—1421no—
1499C24—1421no—
1500#41—22no—
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—2841no—
1512#41—5682no—
1513#41—1422no—
1514C2×Q8—711no—
1515C2×Q8—711no—
1516C2×Q8—1421no—
1517C2×Q8C23×D7111yescharacteristic
1518C2×D4—22no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—21no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—82no—
1534C2×D4—2841no—
1535C2×D4—2841no—
1536C2×D4—2844no—
1537C2×D4—2844no—
1538C2×D4—2844no—
1539C2×D4—2844no—
1540C2×D4—2844no—
1541C2×D4—2844no—
1542C2×D4—2841no—
1543C2×D4—2841no—
1544C2×D4—2841no—
1545C2×D4—2841no—
1546C2×D4—2841no—
1547C2×D4—5682no—
1548C2×D4—5682no—
1549C2×D4—5682no—
1550C2×D4—5682no—
1551C2×D4—5682no—
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—711no—
1561C2×D4—1421no—
1562C2×D4—1421no—
1563C2×D4—1421no—
1564C2×D4—1422no—
1565C2×D4—1422no—
1566C2×D4—1421no—
1567C2×D4—1421no—
1568C2×D4—1421no—
1569C2×D4—1421no—
1570C2×D4—1421no—
1571C2×D4—1421no—
1572C2×D4—1421no—
1573C2×D4—1421no—
1574C2×D4—1422no—
1575C2×D4—1422no—
1576C2×D4—1421no—
1577C2×D4—1422no—
1578C2×D4—1422no—
1579C2×D4—1421no—
1580C2×D4—1421no—
1581C2×D4—1421no—
1582C2×D4—1421no—
1583C2×D4—1421no—
1584C2×D4—1421no—
1585C2×D4—1421no—
1586C2×D4—1421no—
1587C2×D4—1421no—
1588C2×D4—1421no—
1589C2×D4—1421no—
1590C2×D4—1422no—
1591C2×D4—1421no—
1592C2×D4—1421no—
1593C2×D4—1421no—
1594C2×D4—1421no—
1595C2×D4D4×D7111yescharacteristic
1596C2×D4C23×D7111yescharacteristic
1597C2×D4C23×D7111yescharacteristic
1598C2×D4C23×D7111yescharacteristic
1599C2×D4C23×D7111yescharacteristic
1600C2×D4C23×D7111yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—2841no—
1605C22×C4—2841no—
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×C4C23×D7111yescharacteristic
1624C22×C4C23×D7111yescharacteristic
1625Q16—2841no—
1626SD16—41no—
1627SD16—41no—
1628SD16—41no—
1629SD16—2841no—
1630SD16—2841no—
1631SD16—2841no—
1632SD16—1422no—
1633SD16—1422no—
1634D8—22no—
1635D8—22no—
1636D8—22no—
1637D8—41no—
1638D8—41no—
1639D8—41no—
1640D8—2841no—
1641D8—2841no—
1642D8—2841no—
1643D8—2841no—
1644D8—2841no—
1645D8—2841no—
1646D8—1422no—
1647D8—1422no—
1648D8—1422no—
1649M16—41no—
1650M16—2841no—
1651M16—2841no—
1652M16—2841no—
1653C2×C8—41no—
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—711no—
1667C4⋊C4—711no—
1668C4⋊C4—711no—
1669C4⋊C4—711no—
1670C4⋊C4—711no—
1671C4⋊C4—711no—
1672C4⋊C4—711no—
1673C4⋊C4—711no—
1674C4⋊C4—711no—
1675C4⋊C4—1421no—
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⋊C4—1421no—
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—711no—
1697C22⋊C4—711no—
1698C22⋊C4—711no—
1699C22⋊C4—711no—
1700C22⋊C4—711no—
1701C22⋊C4—711no—
1702C22⋊C4—711no—
1703C22⋊C4—711no—
1704C22⋊C4—1421no—
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—711no—
1735C42—1421no—
1736C42—1421no—
1737C42—1421no—
1738C42—1421no—
1739C42C23×D7111yescharacteristic
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—21no—
1744C23—21no—
1745C23—42no—
1746C23—42no—
1747C23—42no—
1748C23—81no—
1749C23—81no—
1750C23—81no—
1751C23—81no—
1752C23—81no—
1753C23—81no—
1754C23—2841no—
1755C23—2841no—
1756C23—2842no—
1757C23—2842no—
1758C23—2842no—
1759C23—2842no—
1760C23—2842no—
1761C23—2842no—
1762C23—2842no—
1763C23—2842no—
1764C23—2842no—
1765C23—5681no—
1766C23—5681no—
1767C23—5681no—
1768C23—5681no—
1769C23—5681no—
1770C23—5681no—
1771C23—5681no—
1772C23—5681no—
1773C23—5681no—
1774C23—5681no—
1775C23—5681no—
1776C23—56816no—
1777C23—711no—
1778C23—711no—
1779C23—711no—
1780C23—1424no—
1781C23—1421no—
1782C23—1421no—
1783C23—1421no—
1784C23—1422no—
1785C23C2×D4×D7111yescharacteristic
1786C23C2×D4×D7111yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—2841no—
1790Q8—5681no—
1791Q8—1421no—
1792Q8—1421no—
1793D4—22no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—21no—
1803D4—42no—
1804D4—42no—
1805D4—42no—
1806D4—81no—
1807D4—81no—
1808D4—81no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—2842no—
1813D4—2842no—
1814D4—2841no—
1815D4—2841no—
1816D4—2842no—
1817D4—2842no—
1818D4—2842no—
1819D4—2842no—
1820D4—2842no—
1821D4—2842no—
1822D4—2841no—
1823D4—2841no—
1824D4—2841no—
1825D4—2842no—
1826D4—2842no—
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—5681no—
1842D4—5681no—
1843D4—712no—
1844D4—1424no—
1845D4—1422no—
1846D4—1421no—
1847D4—1421no—
1848D4—1421no—
1849D4—1421no—
1850D4—1421no—
1851D4#1455617312yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—42no—
1860C2×C4—81no—
1861C2×C4—81no—
1862C2×C4—2841no—
1863C2×C4—2841no—
1864C2×C4—2842no—
1865C2×C4—2842no—
1866C2×C4—2842no—
1867C2×C4—2841no—
1868C2×C4—5681no—
1869C2×C4—5681no—
1870C2×C4—5681no—
1871C2×C4—5681no—
1872C2×C4—5681no—
1873C2×C4—5681no—
1874C2×C4—5681no—
1875C2×C4—5681no—
1876C2×C4—711no—
1877C2×C4—711no—
1878C2×C4—711no—
1879C2×C4—711no—
1880C2×C4—711no—
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×C4—1421no—
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—21no—
1909C22—21no—
1910C22—22no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—84no—
1926C22—162no—
1927C22—162no—
1928C22—2844no—
1929C22—2841no—
1930C22—2841no—
1931C22—2841no—
1932C22—2841no—
1933C22—2841no—
1934C22—2841no—
1935C22—2841no—
1936C22—2841no—
1937C22—5684no—
1938C22—5684no—
1939C22—5684no—
1940C22—5684no—
1941C22—5684no—
1942C22—11362no—
1943C22—11362no—
1944C22—1421no—
1945C22—1421no—
1946C22—1421no—
1947C22—1421no—
1948C22—1421no—
1949C22—1421no—
1950C22—1421no—
1951C22—1421no—
1952C22—1422no—
1953C22—1421no—
1954C22#1798680312yes—
1955C22C22×D4×D7111yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—2841no—
1964C4—2841no—
1965C4—2841no—
1966C4—2841no—
1967C4—2841no—
1968C4—1421no—
1969C4—1421no—
1970C4—1421no—
1971C4—1421no—
1972C4—1421no—
1973C4H(5,𝔽2)×D7111yescharacteristic
1974C4C2×#1455617311yescharacteristic
1975C2—22no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—81no—
1981C2—81no—
1982C2—2841no—
1983C2—2841no—
1984C2—2842no—
1985C2—2841no—
1986C2—5681no—
1987C2—5681no—
1988C2#2260196811yescharacteristic
1989C2C2×#1798680311yescharacteristic
1990C2#2260311511yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3264C2
socleC22×C71C23×D4
hypercenter#3264D71
hypocenterC71#61609
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #22602661C2semidirect
2. #22601970C2semidirect
3. #22600577C2semidirect
4. #22600548C2semidirect
5. #22600500C2semidirect
6. #22600486C2semidirect
7. #22600363C2semidirect
8. #22600307C2semidirect
9. #22600175C2semidirect
10. #22600146C2semidirect
11. #22600018C2semidirect
12. D4×#11765850C2semidirect
13. #22599963C2semidirect
14. #22599945C2semidirect
15. #22599879C2semidirect
16. #22599820C2semidirect
17. #22599813C2semidirect
18. #22599433C2semidirect
19. #22599385C2semidirect
20. #22599203C2semidirect
21. #22599187C2semidirect
22. #22599157C2semidirect
23. #22599129C2semidirect
24. #22598581C2semidirect
25. #22598522C2semidirect
26. #22597642C2semidirect
27. #22597607C2semidirect
28. #22597564C2semidirect
29. C2×#17986131C2semidirect
30. #22597389C2semidirect
31. C71×#3264C2semidirect
32. C2×#14556174C22semidirect
33. C22×D4×D71C22semidirect
34. C2×#14556152C22semidirect
35. C2×#14556152C22semidirect
36. C2×#14556152C22semidirect
37. C2×#14556149C22semidirect
38. C22×#11765850C22semidirect
39. C22×#11765850C22semidirect
42. #17986713C22semidirect
43. #17986699C22semidirect
44. #17986689C22semidirect
46. #17986669C22semidirect
47. #17986649C22semidirect
49. #17986643C22semidirect
50. #17986643C22semidirect
51. #17986642C22semidirect
53. #17986640C22semidirect
55. #17986637C22semidirect
57. D4×D284C22semidirect
59. #17986633C22semidirect
60. D4×C22⋊D71C22semidirect
62. #17986614C22semidirect
63. #17986603C22semidirect
66. #17986578C22semidirect
67. #17986567C22semidirect
68. #17986566C22semidirect
69. #17986565C22semidirect
74. #17986512C22semidirect
75. #17986509C22semidirect
77. C2×#14556099C22semidirect
80. #17986471C22semidirect
81. #17986387C22semidirect
82. #17986380C22semidirect
83. #17986375C22semidirect
84. #17986364C22semidirect
85. #17986360C22semidirect
86. #17986353C22semidirect
87. #17986344C22semidirect
88. #17986343C22semidirect
89. #17986338C22semidirect
90. #17986327C22semidirect
91. #17986325C22semidirect
92. #17986324C22semidirect
93. #17986322C22semidirect
94. #17986321C22semidirect
95. #17986321C22semidirect
96. #17986320C22semidirect
97. #17986319C22semidirect
98. #17986313C22semidirect
99. #17986311C22semidirect
100. #17986300C22semidirect
101. #17986299C22semidirect
102. #17986288C22semidirect
103. #17986277C22semidirect
104. #17986251C22semidirect
105. #17986251C22semidirect
106. #17986251C22semidirect
107. #17986249C22semidirect
108. #17986245C22semidirect
109. #17986242C22semidirect
110. #17986242C22semidirect
111. #17986238C22semidirect
112. #17986234C22semidirect
113. #17986233C22semidirect
114. #17986233C22semidirect
115. #17986232C22semidirect
116. #17986228C22semidirect
117. #17986226C22semidirect
118. #17986218C22semidirect
119. #17986216C22semidirect
120. #17986216C22semidirect
121. #17986213C22semidirect
122. #17986212C22semidirect
123. #17986200C22semidirect
124. #17986194C22semidirect
125. #17986192C22semidirect
126. #17986192C22semidirect
127. #17986191C22semidirect
128. #17986164C22semidirect
129. #17986161C22semidirect
130. #17986158C22semidirect
131. #17986152C22semidirect
132. #17986152C22semidirect
133. #17986151C22semidirect
134. #17986151C22semidirect
135. #17986150C22semidirect
136. #17986145C22semidirect
137. #17986145C22semidirect
138. #17986143C22semidirect
139. #17986143C22semidirect
140. #17986143C22semidirect
141. #17986143C22semidirect
142. #17986143C22semidirect
143. #17986141C22semidirect
144. #17986133C22semidirect
145. #17986133C22semidirect
146. #17986132C22semidirect
147. #17986132C22semidirect
149. #17986131C22semidirect
150. #17986131C22semidirect
151. #17986131C22semidirect
152. #17986131C22semidirect
153. #17986131C22semidirect
154. #17986131C22semidirect
155. #17986131C22semidirect
156. #17986131C22semidirect
157. #17986131C22semidirect
158. #17986131C22semidirect
159. #17986131C22semidirect
160. #17986111C22semidirect
161. #17986108C22semidirect
162. #17986101C22semidirect
163. C4×#11765853C22semidirect
164. D8×Dic71C22semidirect
165. C4×#11765850C22semidirect
166. #17986079C22semidirect
167. #17986076C22semidirect
168. #17986075C22semidirect
169. #17986072C22semidirect
170. #17986070C22semidirect
171. #17986067C22semidirect
172. D4×C71⋊C8C22semidirect
173. (C22⋊D71)⋊C8C22semidirect
174. #17986061C22semidirect
175. #17986059C22semidirect
176. #17986005C22semidirect
177. #17986002C22semidirect
178. #17986002C22semidirect
179. #17985999C22semidirect
180. #17985995C22semidirect
181. C2×#14556050C22semidirect
182. C2×#14556049C22semidirect
183. #102×D71C22semidirect
184. #17985967C22semidirect
185. #17985964C22semidirect
186. #17985961C22semidirect
187. C2×(C2×D71)⋊C8C22semidirect
188. C2×AGL(1,ℤ/8)×C71C22semidirect
189. C22×D8×C71C22semidirect
191. D42×C71C22semidirect
192. #496×C71C22semidirect
193. #469×C71C22semidirect
194. #465×C71C22semidirect
195. #463×C71C22semidirect
196. #459×C71C22semidirect
197. #450×C71C22semidirect
198. #449×C71C22semidirect
199. #447×C71C22semidirect
200. #447×C71C22semidirect
201. #442×C71C22semidirect
202. #435×C71C22semidirect
212. C2×#11765864C23semidirect
238. C2×#11765855C23semidirect
241. C2×#11765854C23semidirect
252. C2×#11765850C23semidirect
253. C2×#11765850C23semidirect
254. C2×#11765850C23semidirect
257. C2×#11765848C23semidirect
259. C22×C71⋊C8C23semidirect
260. C2×C8×D71C23semidirect
261. #14556127C23semidirect
270. #14556120C23semidirect
275. #14556115C23semidirect
298. #14556107C23semidirect
338. #14556099C23semidirect
339. #14556099C23semidirect
363. C4×Dic142C23semidirect
369. D4×Dic71C23semidirect
370. D4×Dic71C23semidirect
380. #14556087C23semidirect
387. C4⋊C4×D71C23semidirect
396. #14556062C23semidirect
397. #14556062C23semidirect
398. #14556061C23semidirect
399. #14556061C23semidirect
400. #14556060C23semidirect
401. #14556059C23semidirect
402. #14556059C23semidirect
403. C4⋊(C71⋊C8)C23semidirect
404. Dic71⋊C8C23semidirect
405. Dic71⋊C8C23semidirect
406. #14556053C23semidirect
407. #14556052C23semidirect
408. #14556052C23semidirect
409. #14556052C23semidirect
410. #14556051C23semidirect
417. #14556050C23semidirect
418. #14556050C23semidirect
419. #14556050C23semidirect
426. #14556049C23semidirect
427. #14556049C23semidirect
428. #14556049C23semidirect
431. #14556048C23semidirect
433. C22⋊(C71⋊C8)C23semidirect
440. (C2×D71)⋊C8C23semidirect
441. (C2×D71)⋊C8C23semidirect
442. #14556038C23semidirect
443. C4×C71⋊C8C23semidirect
444. C8×Dic71C23semidirect
449. C22×D4×C71C23semidirect
451. C2×SD16×C71C23semidirect
452. C2×SD16×C71C23semidirect
453. C2×SD16×C71C23semidirect
461. C2×M16×C71C23semidirect
463. #127×C71C23semidirect
471. #121×C71C23semidirect
477. C4×D4×C71C23semidirect
479. #106×C71C23semidirect
480. C4⋊C8×C71C23semidirect
481. #103×C71C23semidirect
484. #102×C71C23semidirect
485. #102×C71C23semidirect
486. #102×C71C23semidirect
488. C22⋊C8×C71C23semidirect
489. #97×C71C23semidirect
1013. #3264D71semidirect
1027. C71#61609semidirect
1033. C2×AGL(1,ℤ/8)C2×D71semidirect
1037. C22×D8C2×D71semidirect
1061. D42C2×D71semidirect
1082. #496C2×D71semidirect
1109. #469C2×D71semidirect
1120. #465C2×D71semidirect
1126. #463C2×D71semidirect
1132. #459C2×D71semidirect
1141. #450C2×D71semidirect
1150. #449C2×D71semidirect
1167. #447C2×D71semidirect
1168. #447C2×D71semidirect
1171. #442C2×D71semidirect
1182. #435C2×D71semidirect
1233. C22×D4C22×D71semidirect
1246. C2×SD16C22×D71semidirect
1247. C2×SD16C22×D71semidirect
1248. C2×SD16C22×D71semidirect
1270. C2×M16C22×D71semidirect
1281. #127C22×D71semidirect
1362. #121C22×D71semidirect
1408. C4×D4C22×D71semidirect
1433. #106C22×D71semidirect
1437. C4⋊C8C22×D71semidirect
1443. #103C22×D71semidirect
1467. #102C22×D71semidirect
1468. #102C22×D71semidirect
1469. #102C22×D71semidirect
1481. C22⋊C8C22×D71semidirect
1483. #97C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226026612
#226019702
#226005772
#226005482
#226005002
#226004862
#226003632
#226003072
#226001752
#226001462
#226000182
D4×#117658502
#225999632
#225999452
#225998792
#225998202
#225998132
#225994332
#225993852
#225992032
#225991872
#225991572
#225991292
#225985812
#225985222
#225976422
#225976072
#225975642
C2×#179861312
#225973892
C71×#32642
#6160971