Finite Group Databasebeta

← #32872919

Subgroups — #32872919

Order 18176.

2890 conjugacy classes of subgroups.

The subgroup lattice has 2132 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#17986801C211yesmaximal, characteristic, complemented
2C2×AGL(1,ℤ/8)×D71C211yesmaximal, characteristic, complemented
3#22601979C211yesmaximal, characteristic, complemented
4#22601970C211yesmaximal, characteristic, complemented
5#22599947C211yesmaximal, characteristic, complemented
6#22599946C211yesmaximal, characteristic, complemented
7#22599944C211yesmaximal, characteristic, complemented
8#22599944C211yesmaximal, characteristic, complemented
9#22599943C211yesmaximal, characteristic, complemented
10#22599940C211yesmaximal, characteristic, complemented
11#22599938C211yesmaximal, characteristic, complemented
12#22599933C211yesmaximal, characteristic, complemented
13#22599872C211yesmaximal, characteristic, complemented
14#22599865C211yesmaximal, characteristic, complemented
15#22599864C211yesmaximal, characteristic, complemented
16#22599825C211yesmaximal, characteristic, complemented
17#22599822C211yesmaximal, characteristic, complemented
18#22599817C211yesmaximal, characteristic, complemented
19#22599814C211yesmaximal, characteristic, complemented
20#22598815C211yesmaximal, characteristic, complemented
21#22597974C211yesmaximal, characteristic, complemented
22#22597951C211yesmaximal, characteristic, complemented
23#22597847C211yesmaximal, characteristic, complemented
24#22597841C211yesmaximal, characteristic, complemented
25#22597614C211yesmaximal, characteristic, complemented
26#22597605C211yesmaximal, characteristic, complemented
27#22597583C211yesmaximal, characteristic, complemented
28#22597568C211yesmaximal, characteristic, complemented
29#22597189C211yesmaximal, characteristic, complemented
30#22597038C211yesmaximal, characteristic, complemented
31C71×#3267C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic
33C2×#14556174C2211yescharacteristic, complemented
34C2×#41×D71C2211yescharacteristic, complemented
35C22×D4×D71C2211yescharacteristic, complemented
36#17986801—28no—
37C2×#14556160C2211yescharacteristic, complemented
38C2×#14556156C2211yescharacteristic, complemented
39C2×#14556155C2211yescharacteristic
40C2×#14556155C2211yescharacteristic, complemented
41C2×#14556155C2211yescharacteristic, complemented
42C2×#14556155C2211yescharacteristic, complemented
43C2×#14556155C2211yescharacteristic, complemented
44C2×#14556155C2211yescharacteristic, complemented
45C2×#14556155C2211yescharacteristic, complemented
46C2×#14556154C2211yescharacteristic, complemented
47C2×#14556153C2211yescharacteristic, complemented
48C2×#14556153C2211yescharacteristic, complemented
49C2×#14556153C2211yescharacteristic, complemented
50C2×#14556152C2211yescharacteristic, complemented
51C2×#14556152C2211yescharacteristic, complemented
52AGL(1,ℤ/8)×D71—28no—
53C2×#14556151C2211yescharacteristic, complemented
54C2×#14556151C2211yescharacteristic, complemented
55C2×SD16×D71C2211yescharacteristic, complemented
56C2×SD16×D71C2211yescharacteristic, complemented
57C22×D568C2211yescharacteristic, complemented
58C2×D8×D71C2211yescharacteristic
59C2×D8×D71C2211yescharacteristic, complemented
60C2×D8×D71C2211yescharacteristic, complemented
61C2×#14556134C2211yescharacteristic, complemented
62C2×M16×D71C2211yescharacteristic, complemented
63#17986652C2211yescharacteristic, complemented
64#17986651C2211yescharacteristic, complemented
65#17986650—21no—
66#17986648C2211yescharacteristic, complemented
67#17986647—21no—
68#17986645C2211yescharacteristic, complemented
69#17986644C2211yescharacteristic, complemented
70#17986642C2211yescharacteristic, complemented
71#17986641—21no—
72#17986641—21no—
73#17986640C2211yescharacteristic, complemented
74#17986640C2211yescharacteristic, complemented
75#17986639—21no—
76#17986638—21no—
77#17986637C2211yescharacteristic, complemented
78#17986637C2211yescharacteristic, complemented
79D4×D284C2211yescharacteristic, complemented
80D4×D284C2211yescharacteristic, complemented
81#17986633—21no—
82#17986633C2211yescharacteristic, complemented
83D4×C22⋊D71C2211yescharacteristic, complemented
84#17986631—21no—
85#17986574C2211yescharacteristic, complemented
86#17986572C2211yescharacteristic, complemented
87#17986567C2211yescharacteristic, complemented
88#17986565C2211yescharacteristic
89#17986560—21no—
90#17986560—21no—
91#17986557—21no—
92#17986557—21no—
93#17986512C2211yescharacteristic, complemented
94#17986512C2211yescharacteristic, complemented
95#17986508C2211yescharacteristic
96C2×#14556113—21no—
97#123×D71—21no—
98C2×#14556098—21no—
99#120×D71—21no—
100#17986471C2211yescharacteristic, complemented
101#17986471C2211yescharacteristic, complemented
102#17986392C2211yescharacteristic, complemented
103#17986388C2211yescharacteristic, complemented
104#17986385C2211yescharacteristic, complemented
105#17986384C2211yescharacteristic, complemented
106#17986381C2211yescharacteristic, complemented
107#17986373C2211yescharacteristic, complemented
108#17986370C2211yescharacteristic, complemented
109#17986254C2211yescharacteristic, complemented
110#17986253C2211yescharacteristic, complemented
111#17986252C2211yescharacteristic, complemented
112#17986248C2211yescharacteristic, complemented
113#17986248C2211yescharacteristic, complemented
114#17986248C2211yescharacteristic, complemented
115#17986247C2211yescharacteristic, complemented
116#17986247C2211yescharacteristic, complemented
117#17986247C2211yescharacteristic, complemented
118#17986244C2211yescharacteristic, complemented
119#17986243C2211yescharacteristic, complemented
120#17986229C2211yescharacteristic, complemented
121#17986228C2211yescharacteristic, complemented
122#17986225C2211yescharacteristic, complemented
123#17986217C2211yescharacteristic, complemented
124#17986217C2211yescharacteristic, complemented
125#17986216C2211yescharacteristic, complemented
126#17986216C2211yescharacteristic, complemented
127#17986215C2211yescharacteristic, complemented
128#17986214C2211yescharacteristic, complemented
129#17986211C2211yescharacteristic, complemented
130#17986203C2211yescharacteristic, complemented
131#17986202C2211yescharacteristic, complemented
132#17986201C2211yescharacteristic, complemented
133#17986195C2211yescharacteristic, complemented
134#17986194C2211yescharacteristic, complemented
135#17986193C2211yescharacteristic, complemented
136#17986192C2211yescharacteristic, complemented
137#17986164C2211yescharacteristic, complemented
138#17986161C2211yescharacteristic, complemented
139#17986160C2211yescharacteristic, complemented
140#17986160C2211yescharacteristic, complemented
141#17986159C2211yescharacteristic, complemented
142#17986158C2211yescharacteristic, complemented
143#17986152C2211yescharacteristic, complemented
144#17986151C2211yescharacteristic, complemented
145#17986149C2211yescharacteristic, complemented
146#17986149C2211yescharacteristic, complemented
147#17986148C2211yescharacteristic, complemented
148#17986148C2211yescharacteristic, complemented
149#17986148C2211yescharacteristic, complemented
150#17986147C2211yescharacteristic, complemented
151#17986147C2211yescharacteristic, complemented
152#17986146C2211yescharacteristic, complemented
153#17986145C2211yescharacteristic, complemented
154#17986144C2211yescharacteristic, complemented
155#17986144C2211yescharacteristic, complemented
156#17986143C2211yescharacteristic, complemented
157#17986135C2211yescharacteristic, complemented
158#17986135C2211yescharacteristic, complemented
159#17986134C2211yescharacteristic, complemented
160#17986134C2211yescharacteristic, complemented
161#17986134C2211yescharacteristic, complemented
162#17986133C2211yescharacteristic, complemented
163#17986132C2211yescharacteristic, complemented
164#17986131C2211yescharacteristic, complemented
165#17986112C2211yescharacteristic, complemented
166#17986111C2211yescharacteristic, complemented
167#17986110C2211yescharacteristic, complemented
168C4×#11765850C2211yescharacteristic, complemented
169C4×#11765850C2211yescharacteristic, complemented
170#17986079C2211yescharacteristic, complemented
171#17986079C2211yescharacteristic, complemented
172#17986077C2211yescharacteristic, complemented
173#17986076C2211yescharacteristic, complemented
174#17986074C2211yescharacteristic, complemented
175#17986074C2211yescharacteristic, complemented
176#17986072C2211yescharacteristic, complemented
177#17986070C2211yescharacteristic, complemented
178#17986068C2211yescharacteristic, complemented
179#17986034C2211yescharacteristic, complemented
180#17986024C2211yescharacteristic, complemented
181#17986006C2211yescharacteristic, complemented
182#17986002C2211yescharacteristic, complemented
183#17986002C2211yescharacteristic, complemented
184#17986002C2211yescharacteristic, complemented
185#17985994C2211yescharacteristic, complemented
186#17985994C2211yescharacteristic, complemented
187#17985964C2211yescharacteristic, complemented
188#17985961C2211yescharacteristic, complemented
189#17985956C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
191C2×#135×C71C2211yescharacteristic, complemented
192#547×C71C2211yescharacteristic, complemented
193#546×C71C2211yescharacteristic, complemented
194#497×C71C2211yescharacteristic, complemented
195#470×C71C2211yescharacteristic, complemented
196#465×C71C2211yescharacteristic, complemented
197#463×C71C2211yescharacteristic, complemented
198#461×C71C2211yescharacteristic, complemented
199#452×C71C2211yescharacteristic, complemented
200#452×C71C2211yescharacteristic, complemented
201#450×C71C2211yescharacteristic, complemented
202#449×C71C2211yescharacteristic, complemented
203#442×C71C2211yescharacteristic, complemented
204#435×C71C2211yescharacteristic, complemented
205C24×D71—21no—
206#14556174—24no—
207#14556174—24no—
208#14556174—42no—
209#14556174—42no—
210C2×#11765866C2311yescharacteristic
211C2×#11765866C2311yescharacteristic
212C2×#11765866C2311yescharacteristic
213C2×#11765866C2311yescharacteristic
214C2×#11765866C2311yescharacteristic, complemented
215C2×#11765865—21no—
216C2×#11765865—21no—
217C2×#11765865—21no—
218C2×#11765865C2311yescharacteristic
219C2×#11765865C2311yescharacteristic
220C2×#11765864—21no—
221C2×#11765864C2311yescharacteristic
222#41×D71—24no—
223#41×D71—42no—
224C2×Q8×D71C2311yescharacteristic
225C22×D284—21no—
226C22×D284—21no—
227C22×D284—21no—
228C22×D284C2311yescharacteristic
229C22×D284C2311yescharacteristic
230C22×D284C2311yescharacteristic, complemented
231C22×C22⋊D71—21no—
232C22×C22⋊D71—21no—
233C2×D4×D71—24no—
234C2×D4×D71—21no—
235C2×D4×D71—21no—
236C2×D4×D71—21no—
237C2×D4×D71—21no—
238C2×D4×D71—21no—
239C2×D4×D71—21no—
240C2×D4×D71—21no—
241C2×D4×D71—21no—
242C2×D4×D71—21no—
243C2×D4×D71—42no—
244C2×D4×D71C2311yescharacteristic
245C2×D4×D71C2311yescharacteristic
246C2×D4×D71C2311yescharacteristic
247C2×D4×D71C2311yescharacteristic
248C2×D4×D71C2311yescharacteristic
249C2×D4×D71C2311yescharacteristic
250C2×D4×D71C2311yescharacteristic, complemented
251C22×C4×D71—21no—
252C22×C4×D71C2311yescharacteristic
253#14556160—42no—
254#14556156—24no—
255#14556155—24no—
256#14556155—24no—
257#14556155—24no—
258#14556155—24no—
259#14556155—24no—
260#14556155—24no—
261#14556155—42no—
262#14556154—24no—
263#14556153—24no—
264#14556153—24no—
265#14556153—24no—
266#14556152—24no—
267#14556152—24no—
268#14556151—24no—
269#14556151—24no—
270C2×#11765855C2311yescharacteristic, complemented
271C2×#11765854C2311yescharacteristic
272C2×#11765854C2311yescharacteristic
273C2×#11765854C2311yescharacteristic, complemented
274C2×#11765853C2311yescharacteristic
275C2×#11765853C2311yescharacteristic
276C2×#11765852C2311yescharacteristic
277C2×#11765852C2311yescharacteristic
278C2×#11765852C2311yescharacteristic
279C2×#11765852C2311yescharacteristic
280C2×#11765852C2311yescharacteristic, complemented
281C2×#11765852C2311yescharacteristic, complemented
282C2×#11765852C2311yescharacteristic, complemented
283C2×#11765852C2311yescharacteristic, complemented
284SD16×D71—24no—
285SD16×D71—24no—
286C2×D568—24no—
287C2×D568C2311yescharacteristic
288C2×D568C2311yescharacteristic
289C2×D568C2311yescharacteristic
290C2×D568C2311yescharacteristic
291C2×D568C2311yescharacteristic, complemented
292C2×D568C2311yescharacteristic, complemented
293C2×#11765850C2311yescharacteristic
294C2×#11765850C2311yescharacteristic
295C2×#11765850C2311yescharacteristic
296C2×#11765850C2311yescharacteristic
297C2×#11765850C2311yescharacteristic
298C2×#11765850C2311yescharacteristic
299C2×#11765850C2311yescharacteristic, complemented
300D8×D71—24no—
301D8×D71—24no—
302D8×D71D418yescomplemented
303#14556134—24no—
304C2×#11765849C2311yescharacteristic
305C2×#11765849C2311yescharacteristic, complemented
306C2×#11765848C2311yescharacteristic
307C2×#11765848C2311yescharacteristic
308C2×#11765848C2311yescharacteristic
309C2×#11765848C2311yescharacteristic
310C2×#11765848C2311yescharacteristic, complemented
311M16×D71—24no—
312C2×C8×D71C2311yescharacteristic
313C2×C8×D71C2311yescharacteristic
314C2×C8×D71C2311yescharacteristic, complemented
315#14556127—21no—
316#14556126C2311yescharacteristic, complemented
317#14556125C2311yescharacteristic
318#14556124—21no—
319#14556124C2311yescharacteristic
320#14556117C2311yescharacteristic
321#14556117C2311yescharacteristic, complemented
322#14556116C2311yescharacteristic, complemented
323#14556114—21no—
324#14556114—21no—
325#14556113—21no—
326#14556113—21no—
327#14556113—21no—
328#14556113—21no—
329#14556113—21no—
330#14556113—21no—
331#14556113—21no—
332#14556113—21no—
333#14556113—21no—
334#14556113—21no—
335#14556113—21no—
336#14556113D411yescharacteristic
337#14556112—21no—
338#14556111—21no—
339#14556111—21no—
340#14556111—21no—
341#14556110—21no—
342#14556110—21no—
343#14556110—21no—
344#14556110D411yescharacteristic
345#14556109—21no—
346#14556108C2311yescharacteristic, complemented
347#14556107C2311yescharacteristic, complemented
348#14556106—21no—
349#14556106—21no—
350#14556106D411yescharacteristic
351#14556105D411yescharacteristic
352#14556104C2311yescharacteristic
353#14556104C2311yescharacteristic
354#14556104C2311yescharacteristic, complemented
355#14556103—21no—
356#14556103—21no—
357#14556103—21no—
358#14556103—21no—
359#14556103C2311yescharacteristic
360#14556103C2311yescharacteristic
361#14556103C2311yescharacteristic
362#14556102—21no—
363#14556102—21no—
364#14556102C2311yescharacteristic
365#14556102C2311yescharacteristic
366#14556102C2311yescharacteristic
367#14556101—21no—
368#14556101—21no—
369#14556101—21no—
370#14556101—21no—
371#14556101—21no—
372#14556101—21no—
373#14556101D411yescharacteristic
374#14556100—21no—
375#14556100—21no—
376#14556100—21no—
377#14556100—21no—
378#14556100D411yescharacteristic
379#14556099C2311yescharacteristic
380#14556098—21no—
381#14556098—21no—
382#14556098—21no—
383#14556098—21no—
384#14556098—21no—
385#14556098—21no—
386#14556098—21no—
387#14556098—21no—
388#14556098—21no—
389#14556098—21no—
390#14556098—21no—
391#14556098—21no—
392#14556098—21no—
393#14556098—21no—
394#14556098D411yescharacteristic
395#14556097—21no—
396#14556096—21no—
397#14556096—21no—
398#14556096—21no—
399#14556096—21no—
400#14556096—21no—
401#14556096—21no—
402#14556096D411yescharacteristic
403C4×D284C2311yescharacteristic
404C4×D284C2311yescharacteristic
405C4×D284C2311yescharacteristic, complemented
406D4×Dic71C2311yescharacteristic
407D4×Dic71C2311yescharacteristic, complemented
408#14556090—21no—
409#14556090—21no—
410#14556090C2311yescharacteristic
411#14556090C2311yescharacteristic, complemented
412C4×C22⋊D71—21no—
413C4×C22⋊D71—21no—
414C4×C22⋊D71C2311yescharacteristic
415C4×C22⋊D71C2311yescharacteristic
416(C22⋊D71)⋊C4—21no—
417(C22⋊D71)⋊C4—21no—
418(C22⋊D71)⋊C4—21no—
419(C22⋊D71)⋊C4—21no—
420#14556086C2311yescharacteristic
421#14556086C2311yescharacteristic
422#14556085C2311yescharacteristic
423C2×Dic71⋊C4—21no—
424C4⋊C4×D71—21no—
425C4⋊C4×D71—21no—
426C2×(C2×D71)⋊C4—21no—
427C2×(C2×D71)⋊C4—21no—
428C2×(C2×D71)⋊C4—21no—
429C2×(C2×D71)⋊C4—21no—
430C2×(C2×D71)⋊C4—21no—
431C22⋊C4×D71—21no—
432C22⋊C4×D71—21no—
433C22⋊C4×D71—21no—
434C22⋊C4×D71—21no—
435C22⋊C4×D71—21no—
436C22⋊C4×D71—21no—
437#14556061C2311yescharacteristic, complemented
438#14556061C2311yescharacteristic, complemented
439#14556060C2311yescharacteristic, complemented
440C4⋊(C71⋊C8)C2311yescharacteristic, complemented
441Dic71⋊C8C2311yescharacteristic, complemented
442Dic71⋊C8C2311yescharacteristic, complemented
443#14556053C2311yescharacteristic, complemented
444#14556052C2311yescharacteristic, complemented
445#14556052C2311yescharacteristic, complemented
446#14556052C2311yescharacteristic, complemented
447#14556051C2311yescharacteristic, complemented
448#14556050C2311yescharacteristic
449#14556050C2311yescharacteristic
450#14556050C2311yescharacteristic, complemented
451#14556050C2311yescharacteristic, complemented
452#14556050C2311yescharacteristic, complemented
453#14556049C2311yescharacteristic
454#14556049C2311yescharacteristic
455#14556049C2311yescharacteristic, complemented
456#14556048C2311yescharacteristic
457#14556048C2311yescharacteristic
458#14556048C2311yescharacteristic, complemented
459#14556048C2311yescharacteristic, complemented
460#14556048C2311yescharacteristic, complemented
461C22⋊(C71⋊C8)C2311yescharacteristic
462C22⋊(C71⋊C8)C2311yescharacteristic, complemented
463(C2×D71)⋊C8C2311yescharacteristic
464(C2×D71)⋊C8C2311yescharacteristic
465(C2×D71)⋊C8C2311yescharacteristic, complemented
466(C2×D71)⋊C8C2311yescharacteristic, complemented
467#14556038C2311yescharacteristic, complemented
468C4×C71⋊C8C2311yescharacteristic, complemented
469C8×Dic71C2311yescharacteristic, complemented
470C2×#41×C71C2311yescharacteristic
471C2×#41×C71C2311yescharacteristic
472C2×#41×C71C2311yescharacteristic, complemented
473C22×D4×C71C2311yescharacteristic
474AGL(1,ℤ/8)×C71—24no—
475#135×C71—24no—
476C2×Q16×C71C2311yescharacteristic, complemented
477C2×Q16×C71C2311yescharacteristic, complemented
478C2×SD16×C71C2311yescharacteristic
479C2×SD16×C71C2311yescharacteristic
480C2×SD16×C71C2311yescharacteristic
481C2×SD16×C71C2311yescharacteristic
482C2×SD16×C71C2311yescharacteristic, complemented
483C2×D8×C71C2311yescharacteristic
484C2×D8×C71C2311yescharacteristic
485C2×M16×C71C2311yescharacteristic
486C22×C8×C71C2311yescharacteristic, complemented
487C4⋊Q8×C71C2311yescharacteristic, complemented
488#124×C71C2311yescharacteristic
489#123×C71—21no—
490#123×C71—21no—
491#123×C71—21no—
492C22⋊Q8×C71C2311yescharacteristic
493C22⋊Q8×C71C2311yescharacteristic
494C22⋊Q8×C71C2311yescharacteristic, complemented
495#121×C71—21no—
496#121×C71—21no—
497#121×C71C2311yescharacteristic
498#120×C71—21no—
499C4×D4×C71C2311yescharacteristic
500C4×D4×C71C2311yescharacteristic
501C4×D4×C71C2311yescharacteristic, complemented
502C2×C4⋊C4×C71—21no—
503C2×C22⋊C4×C71—21no—
504#106×C71C2311yescharacteristic, complemented
505C4⋊C8×C71C2311yescharacteristic, complemented
506#103×C71C2311yescharacteristic, complemented
507#103×C71C2311yescharacteristic, complemented
508#103×C71C2311yescharacteristic, complemented
509#102×C71C2311yescharacteristic
510#102×C71C2311yescharacteristic
511#102×C71C2311yescharacteristic, complemented
512C22⋊C8×C71C2311yescharacteristic
513C22⋊C8×C71C2311yescharacteristic, complemented
514#97×C71C2311yescharacteristic, complemented
515C23×D71—21no—
516C23×D71—21no—
517C23×D71—21no—
518C23×D71—21no—
519C23×D71—21no—
520C23×D71—21no—
521C23×D71—21no—
522C23×D71—21no—
523C23×D71—21no—
524C23×D71—21no—
525C23×D71—44no—
526C23×D71—82no—
527C23×D71—82no—
528C23×D71C2×D411yescharacteristic
529#11765866—22no—
530#11765866—22no—
531#11765866—22no—
532#11765866—22no—
533#11765866—22no—
534#11765866—22no—
535#11765866—22no—
536#11765866—41no—
537#11765866—41no—
538#11765866—41no—
539#11765865—22no—
540#11765865—22no—
541#11765865—22no—
542#11765865—41no—
543#11765865—44no—
544#11765865—44no—
545#11765865—44no—
546#11765864—22no—
547#11765864—41no—
548#11765864—44no—
549C2×Dic142—21no—
550C2×Dic142C2×D411yescharacteristic
551C2×Dic142C2411yescharacteristic
552Q8×D71—22no—
553Q8×D71—22no—
554C2×D284—22no—
555C2×D284—22no—
556C2×D284—22no—
557C2×D284—21no—
558C2×D284—21no—
559C2×D284—21no—
560C2×D284—21no—
561C2×D284—21no—
562C2×D284—21no—
563C2×D284—21no—
564C2×D284—21no—
565C2×D284—21no—
566C2×D284—21no—
567C2×D284—21no—
568C2×D284—21no—
569C2×D284—21no—
570C2×D284—41no—
571C2×D284—41no—
572C2×D284—41no—
573C2×D284—44no—
574C2×D284—44no—
575C2×D284—82no—
576C2×D284C2×D411yescharacteristic
577C2×D284C2×D411yescharacteristic
578C2×D284C2411yescharacteristic
579C2×D284C2411yescharacteristic
580C2×D284C2411yescharacteristic
581C2×D284C2411yescharacteristic
582C2×D284C2411yescharacteristic
583C2×C22⋊D71—21no—
584C2×C22⋊D71—21no—
585C2×C22⋊D71—21no—
586C2×C22⋊D71—21no—
587C2×C22⋊D71—21no—
588C2×C22⋊D71—21no—
589C2×C22⋊D71—21no—
590C2×C22⋊D71—21no—
591C2×C22⋊D71—21no—
592C2×C22⋊D71—21no—
593C2×C22⋊D71—21no—
594C2×C22⋊D71—21no—
595C2×C22⋊D71—21no—
596C2×C22⋊D71—21no—
597C2×C22⋊D71—21no—
598C2×C22⋊D71—44no—
599C2×C22⋊D71—82no—
600C2×C22⋊D71C2×D411yescharacteristic
601C2×C22⋊D71C2×D411yescharacteristic
602C2×C22⋊D71C2×D411yescharacteristic
603C2×C22⋊D71C2×D411yescharacteristic
604D4×D71—22no—
605D4×D71—22no—
606D4×D71—22no—
607D4×D71—22no—
608D4×D71—22no—
609D4×D71—22no—
610D4×D71—22no—
611D4×D71—22no—
612D4×D71—41no—
613D4×D71—41no—
614D4×D71—41no—
615D4×D71—41no—
616D4×D71—44no—
617D4×D71—44no—
618D4×D71—44no—
619D4×D71—44no—
620D4×D71—44no—
621D4×D71—44no—
622D4×D71—44no—
623D4×D71—82no—
624D4×D71—82no—
625D4×D71C2×D414yes—
626D4×D71C2×D414yescomplemented
627C22×Dic71—21no—
628C22×Dic71—21no—
629C22×Dic71—21no—
630C22×Dic71C2×D411yescharacteristic
631C2×C4×D71—22no—
632C2×C4×D71—22no—
633C2×C4×D71—21no—
634C2×C4×D71—21no—
635C2×C4×D71—21no—
636C2×C4×D71—21no—
637C2×C4×D71—21no—
638C2×C4×D71—21no—
639C2×C4×D71—21no—
640C2×C4×D71—21no—
641C2×C4×D71—21no—
642C2×C4×D71—21no—
643C2×C4×D71—21no—
644C2×C4×D71—44no—
645C2×C4×D71C2×D411yescharacteristic
646C2×C4×D71C2×D411yescharacteristic
647C2×C4×D71C2411yescharacteristic
648C2×C4×D71C2411yescharacteristic
649C2×C4×D71C2411yescharacteristic
650#11765855—41no—
651#11765854—22no—
652#11765854—22no—
653#11765854—41no—
654#11765853—22no—
655#11765853—22no—
656#11765852—22no—
657#11765852—22no—
658#11765852—22no—
659#11765852—22no—
660#11765852—22no—
661#11765852—22no—
662#11765852—41no—
663#11765852—41no—
664D568—22no—
665D568—22no—
666D568—22no—
667D568—22no—
668D568—41no—
669D568C2×D414yescomplemented
670#11765850—22no—
671#11765850—22no—
672#11765850—22no—
673#11765850—22no—
674#11765850—41no—
675#11765850C2×D414yescomplemented
676#11765850C2×D414yescomplemented
677#11765849—22no—
678#11765849—22no—
679#11765848—22no—
680#11765848—22no—
681#11765848—22no—
682#11765848—22no—
683#11765848—22no—
684C2×C71⋊C8C2411yescharacteristic
685C2×C71⋊C8C2411yescharacteristic
686C2×C71⋊C8C2411yescharacteristic
687C2×C71⋊C8C2411yescharacteristic
688C8×D71—22no—
689C8×D71—22no—
690C8×D71C2×D414yescomplemented
691C4⋊Dic71—21no—
692C4⋊Dic71C2×D411yescharacteristic
693C4⋊Dic71C2411yescharacteristic
694C4⋊Dic71C2411yescharacteristic
695Dic71⋊C4—21no—
696Dic71⋊C4—21no—
697Dic71⋊C4—21no—
698Dic71⋊C4—21no—
699Dic71⋊C4—21no—
700Dic71⋊C4—21no—
701Dic71⋊C4C2×D411yescharacteristic
702Dic71⋊C4C2×D411yescharacteristic
703Dic71⋊C4C2×D411yescharacteristic
704Dic71⋊C4C2×D411yescharacteristic
705C22⋊Dic71—21no—
706C22⋊Dic71—21no—
707C22⋊Dic71—21no—
708C22⋊Dic71—21no—
709C22⋊Dic71C2×D411yescharacteristic
710C22⋊Dic71C2×D411yescharacteristic
711(C2×D71)⋊C4—21no—
712(C2×D71)⋊C4—21no—
713(C2×D71)⋊C4—21no—
714(C2×D71)⋊C4—21no—
715(C2×D71)⋊C4—21no—
716(C2×D71)⋊C4—21no—
717(C2×D71)⋊C4—21no—
718(C2×D71)⋊C4—21no—
719(C2×D71)⋊C4—21no—
720(C2×D71)⋊C4—21no—
721(C2×D71)⋊C4—21no—
722(C2×D71)⋊C4—21no—
723(C2×D71)⋊C4—21no—
724(C2×D71)⋊C4—21no—
725(C2×D71)⋊C4—21no—
726(C2×D71)⋊C4—21no—
727(C2×D71)⋊C4—21no—
728(C2×D71)⋊C4—21no—
729(C2×D71)⋊C4—21no—
730(C2×D71)⋊C4—21no—
731(C2×D71)⋊C4—21no—
732(C2×D71)⋊C4—21no—
733(C2×D71)⋊C4C2×D411yescharacteristic
734(C2×D71)⋊C4C2×D411yescharacteristic
735(C2×D71)⋊C4C2×D411yescharacteristic
736(C2×D71)⋊C4C2×D411yescharacteristic
737(C2×D71)⋊C4C2×D411yescharacteristic
738(C2×D71)⋊C4C2×D411yescharacteristic
739C4×Dic71—21no—
740C4×Dic71—21no—
741C4×Dic71C2411yescharacteristic
742C24×C71—21no—
743#41×C71—22no—
744#41×C71—22no—
745#41×C71—22no—
746#41×C71—41no—
747#41×C71—41no—
748#41×C71—41no—
749C2×Q8×C71C2411yescharacteristic
750C2×Q8×C71C2411yescharacteristic
751C2×Q8×C71C2411yescharacteristic
752C2×D4×C71—22no—
753C2×D4×C71—21no—
754C2×D4×C71—21no—
755C2×D4×C71—21no—
756C2×D4×C71—21no—
757C2×D4×C71—21no—
758C2×D4×C71—41no—
759C2×D4×C71C2×D411yescharacteristic
760C2×D4×C71C2411yescharacteristic
761C2×D4×C71C2411yescharacteristic
762C2×D4×C71C2411yescharacteristic
763C22×C4×C71—21no—
764C22×C4×C71—21no—
765C22×C4×C71—21no—
766C22×C4×C71—21no—
767C22×C4×C71—21no—
768C22×C4×C71C2411yescharacteristic
769C22×C4×C71C2411yescharacteristic
770Q16×C71—22no—
771Q16×C71—41no—
772SD16×C71—22no—
773SD16×C71—22no—
774SD16×C71—22no—
775SD16×C71—22no—
776SD16×C71—41no—
777D8×C71—22no—
778D8×C71C2×D414yescomplemented
779M16×C71—22no—
780C2×C8×C71—22no—
781C2×C8×C71C2411yescharacteristic
782C2×C8×C71C2411yescharacteristic
783C2×C8×C71C2411yescharacteristic
784C2×C8×C71C2411yescharacteristic
785C4⋊C4×C71—21no—
786C4⋊C4×C71—21no—
787C4⋊C4×C71—21no—
788C4⋊C4×C71—21no—
789C4⋊C4×C71—21no—
790C4⋊C4×C71C2×D411yescharacteristic
791C4⋊C4×C71C2411yescharacteristic
792C4⋊C4×C71C2411yescharacteristic
793C22⋊C4×C71—21no—
794C22⋊C4×C71—21no—
795C22⋊C4×C71—21no—
796C22⋊C4×C71—21no—
797C22⋊C4×C71—21no—
798C22⋊C4×C71—21no—
799C22⋊C4×C71—21no—
800C22⋊C4×C71—21no—
801C22⋊C4×C71C2×D411yescharacteristic
802C22⋊C4×C71C2×D411yescharacteristic
803C42×C71C2411yescharacteristic
804C23×C71—21no—
805C23×C71—21no—
806C23×C71—21no—
807C23×C71—42no—
808C23×C71—42no—
809C23×C71—81no—
810C23×C71C22×D411yescharacteristic
811C23×C71C22×D411yescharacteristic
812C22×D71—21no—
813C22×D71—21no—
814C22×D71—22no—
815C22×D71—24no—
816C22×D71—24no—
817C22×D71—21no—
818C22×D71—21no—
819C22×D71—21no—
820C22×D71—41no—
821C22×D71—41no—
822C22×D71—42no—
823C22×D71—42no—
824C22×D71—42no—
825C22×D71—42no—
826C22×D71—42no—
827C22×D71—42no—
828C22×D71—42no—
829C22×D71—42no—
830C22×D71—42no—
831C22×D71—42no—
832C22×D71—42no—
833C22×D71—81no—
834C22×D71—81no—
835C22×D71—81no—
836C22×D71—81no—
837C22×D71—81no—
838C22×D71—81no—
839C22×D71—81no—
840C22×D71—81no—
841C22×D71—81no—
842C22×D71—81no—
843C22×D71—81no—
844C22×D71—81no—
845C22×D71—81no—
846C22×D71—81no—
847C22×D71—81no—
848C22×D71—81no—
849C22×D71—81no—
850C22×D71—816no—
851C22×D71C22×D411yescharacteristic
852C22×D71C22×D411yescharacteristic
853C22×D71C22×D411yescharacteristic
854Q8×C71—21no—
855Q8×C71—21no—
856Q8×C71—21no—
857Q8×C71—21no—
858Q8×C71—21no—
859Q8×C71—21no—
860D4×C71—21no—
861D4×C71—21no—
862D4×C71—21no—
863D4×C71—21no—
864D4×C71—41no—
865D4×C71—42no—
866D4×C71—42no—
867D4×C71—42no—
868D4×C71—42no—
869D4×C71—81no—
870D4×C71C22×D412yes—
871D4×C71C22×D412yes—
872C2×C4×C71—21no—
873C2×C4×C71—21no—
874C2×C4×C71—21no—
875C2×C4×C71—21no—
876C2×C4×C71—21no—
877C2×C4×C71—21no—
878C2×C4×C71—21no—
879C2×C4×C71—21no—
880C2×C4×C71—21no—
881C2×C4×C71—42no—
882C2×C4×C71—42no—
883C2×C4×C71—42no—
884C2×C4×C71—81no—
885C2×C4×C71—81no—
886C2×C4×C71C22×D411yescharacteristic
887C2×C4×C71C22×D411yescharacteristic
888C2×C4×C71C22×D411yescharacteristic
889C2×C4×C71C22×D411yescharacteristic
890C2×C4×C71C2511yescharacteristic
891C22⋊D71—22no—
892C22⋊D71—24no—
893C22⋊D71—24no—
894C22⋊D71—22no—
895C22⋊D71—41no—
896C22⋊D71—41no—
897C22⋊D71—42no—
898C22⋊D71—42no—
899C22⋊D71—42no—
900C22⋊D71—42no—
901C22⋊D71—42no—
902C22⋊D71—42no—
903C22⋊D71—42no—
904C22⋊D71—42no—
905C22⋊D71—81no—
906C22⋊D71—81no—
907C22⋊D71—81no—
908C22⋊D71—81no—
909C22⋊D71—81no—
910C2×Dic71—22no—
911C2×Dic71—21no—
912C2×Dic71—21no—
913C2×Dic71—21no—
914C2×Dic71—42no—
915C2×Dic71—81no—
916C2×Dic71—81no—
917C2×Dic71C22×D411yescharacteristic
918C2×Dic71C22×D411yescharacteristic
919C2×Dic71C22×D411yescharacteristic
920C2×Dic71C22×D411yescharacteristic
921C2×Dic71C22×D411yescharacteristic
922D284—22no—
923D284—21no—
924D284—21no—
925D284—21no—
926D284—21no—
927D284—21no—
928D284—21no—
929D284—21no—
930D284—21no—
931D284—41no—
932D284—42no—
933D284—42no—
934D284—42no—
935D284—42no—
936D284—42no—
937D284—42no—
938D284—42no—
939D284—42no—
940D284—42no—
941D284—81no—
942D284—81no—
943D284—81no—
944D284—81no—
945D284C22×D412yes—
946D284C22×D412yes—
947C4×D71—22no—
948C4×D71—21no—
949C4×D71—21no—
950C4×D71—21no—
951C4×D71—21no—
952C4×D71—22no—
953C4×D71—42no—
954C4×D71—42no—
955C4×D71—42no—
956C4×D71—42no—
957C4×D71—42no—
958C4×D71—42no—
959C4×D71—42no—
960C4×D71—81no—
961C4×D71—81no—
962C4×D71—81no—
963C4×D71—81no—
964C4×D71C22×D412yes—
965C4×D71H(5,𝔽2)12yes—
966Dic142—22no—
967Dic142—21no—
968Dic142—21no—
969Dic142—42no—
970C8×C71—21no—
971C8×C71—21no—
972C8×C71—21no—
973C8×C71C22×D412yes—
974C71⋊C8—21no—
975C71⋊C8—21no—
976C71⋊C8—21no—
977C71⋊C8C22×D412yes—
978C22×C71—21no—
979C22×C71—21no—
980C22×C71—21no—
981C22×C71—21no—
982C22×C71—21no—
983C22×C71—22no—
984C22×C71—21no—
985C22×C71—22no—
986C22×C71—41no—
987C22×C71—41no—
988C22×C71—41no—
989C22×C71—41no—
990C22×C71—41no—
991C22×C71—41no—
992C22×C71—41no—
993C22×C71—84no—
994C22×C71C23×D411yescharacteristic
995C2×D71—21no—
996C2×D71—21no—
997C2×D71—21no—
998C2×D71—21no—
999C2×D71—21no—
1000C2×D71—21no—
1001C2×D71—21no—
1002C2×D71—21no—
1003C2×D71—22no—
1004C2×D71—22no—
1005C2×D71—44no—
1006C2×D71—41no—
1007C2×D71—41no—
1008C2×D71—41no—
1009C2×D71—41no—
1010C2×D71—41no—
1011C2×D71—41no—
1012C2×D71—41no—
1013C2×D71—41no—
1014C2×D71—41no—
1015C2×D71—41no—
1016C2×D71—41no—
1017C2×D71—41no—
1018C2×D71—41no—
1019C2×D71—84no—
1020C2×D71—84no—
1021C2×D71—84no—
1022C2×D71—84no—
1023C2×D71—84no—
1024C2×D71—84no—
1025C2×D71—162no—
1026C2×D71—162no—
1027C2×D71—162no—
1028C2×D71—162no—
1029C2×D71D4212yes—
1030C4×C71—21no—
1031C4×C71—21no—
1032C4×C71—21no—
1033C4×C71—21no—
1034C4×C71—41no—
1035C4×C71—41no—
1036C4×C71—41no—
1037C4×C71—41no—
1038C4×C71—41no—
1039C4×C71C23×D411yescharacteristic
1040C4×C71C2×H(5,𝔽2)11yescharacteristic
1041Dic71—21no—
1042Dic71—21no—
1043Dic71—21no—
1044Dic71—21no—
1045Dic71—41no—
1046Dic71—41no—
1047Dic71—41no—
1048Dic71D4212yes—
1049#61058—711nomaximal, Sylow
1050C2×C71—41no—
1051C2×C71—42no—
1052C2×C71—42no—
1053C2×C71—41no—
1054C2×C71—81no—
1055C2×C71C2×D4211yescharacteristic
1056C2×C71#358511yescharacteristic
1057C2×C71#358511yescharacteristic
1058D71—22no—
1059D71—41no—
1060D71—41no—
1061D71—42no—
1062D71—42no—
1063D71—81no—
1064D71—81no—
1065D71—81no—
1066C2×#576—711no—
1067C22×AGL(1,ℤ/8)—711no—
1068#3485—711no—
1069#3484—711no—
1070#3273—711no—
1071#3273—711no—
1072#3273—711no—
1073#3273—711no—
1074#3272—711no—
1075#3272—711no—
1076#3272—711no—
1077#3272—711no—
1078#3267—711no—
1079#3267—711no—
1080#3267—711no—
1081#3267D7111yescharacteristic, complemented
1082#3264—711no—
1083#3264—711no—
1084#3264—711no—
1085#3264—711no—
1086#3154—711no—
1087#3057—711no—
1088#3054—711no—
1089#3042—711no—
1090#3041—711no—
1091#3009—711no—
1092#3008—711no—
1093#3005—711no—
1094#3003—711no—
1095#2948—711no—
1096#2930—711no—
1097C71#6105811yescharacteristic, complemented, Sylow
1098C2×H(5,𝔽2)—711no—
1099C2×H(5,𝔽2)—711no—
1100C22×#41—711no—
1101C23×D4—711no—
1102#576—1428no—
1103C2×#137—711no—
1104C2×AGL(1,ℤ/8)—711no—
1105C2×AGL(1,ℤ/8)—711no—
1106C2×AGL(1,ℤ/8)—711no—
1107C2×AGL(1,ℤ/8)—711no—
1108C2×AGL(1,ℤ/8)—711no—
1109C2×AGL(1,ℤ/8)—711no—
1110C2×AGL(1,ℤ/8)—711no—
1111C2×AGL(1,ℤ/8)—711no—
1112C2×AGL(1,ℤ/8)—711no—
1113C2×AGL(1,ℤ/8)—711no—
1114C2×AGL(1,ℤ/8)—711no—
1115C2×AGL(1,ℤ/8)—711no—
1116C2×AGL(1,ℤ/8)—711no—
1117C2×AGL(1,ℤ/8)—711no—
1118C2×AGL(1,ℤ/8)—1428no—
1119C2×AGL(1,ℤ/8)C2×D7111yescharacteristic, complemented
1120C2×#135—711no—
1121C2×#135—711no—
1122C2×#135C2×D7111yescharacteristic, complemented
1123C22×SD16—711no—
1124C22×SD16—711no—
1125C22×D8—711no—
1126C22×D8—711no—
1127C22×D8—711no—
1128C22×D8—711no—
1129C2×#131—711no—
1130C22×M16—711no—
1131#547—711no—
1132#547—711no—
1133#547—711no—
1134#547—1421no—
1135#547—1421no—
1136#547C2×D7111yescharacteristic, complemented
1137#546—711no—
1138#546—711no—
1139#546—711no—
1140#546—711no—
1141#546—711no—
1142#546—711no—
1143#546—711no—
1144#546—1421no—
1145#546—1421no—
1146#546—1421no—
1147#546—1421no—
1148#546C2×D7111yescharacteristic, complemented
1149D42—711no—
1150D42—711no—
1151D42—711no—
1152D42—711no—
1153D42—1421no—
1154D42—1421no—
1155#536—711no—
1156#536—711no—
1157#535—711no—
1158#535—711no—
1159#534—1421no—
1160#534—1421no—
1161#534—1421no—
1162#534—1421no—
1163#525—711no—
1164#525—711no—
1165#525—711no—
1166C2×#123—1421no—
1167C2×#123—1421no—
1168C2×#120—1421no—
1169C2×#120—1421no—
1170#518—711no—
1171#518—711no—
1172#497—711no—
1173#497C2×D7111yescharacteristic, complemented
1174#496—711no—
1175#496—711no—
1176#495—711no—
1177#495—711no—
1178#492—711no—
1179#492—711no—
1180#470—711no—
1181#470C2×D7111yescharacteristic, complemented
1182#469—711no—
1183#469—711no—
1184#468—711no—
1185#468—711no—
1186#468—711no—
1187#468—711no—
1188#468—711no—
1189#468—711no—
1190#468—711no—
1191#468—711no—
1192#465—711no—
1193#465—711no—
1194#465—711no—
1195#465C2×D7111yescharacteristic, complemented
1196#463—711no—
1197#463—711no—
1198#463—711no—
1199#463—711no—
1200#463—711no—
1201#463—711no—
1202#463—711no—
1203#463C2×D7111yescharacteristic, complemented
1204#461—711no—
1205#461—711no—
1206#461—711no—
1207#461C2×D7111yescharacteristic, complemented
1208#459—711no—
1209#459—711no—
1210#459—711no—
1211#459—711no—
1212#452—711no—
1213#452—711no—
1214#452—711no—
1215#452—711no—
1216#452—711no—
1217#452—711no—
1218#452C2×D7111yescharacteristic, complemented
1219#452C2×D7111yescharacteristic, complemented
1220#450—711no—
1221#450—711no—
1222#450—711no—
1223#450—711no—
1224#450—711no—
1225#450—711no—
1226#450—711no—
1227#450C2×D7111yescharacteristic, complemented
1228#449—711no—
1229#449—711no—
1230#449—711no—
1231#449—711no—
1232#449—711no—
1233#449—711no—
1234#449—711no—
1235#449C2×D7111yescharacteristic, complemented
1236#447—711no—
1237#447—711no—
1238#447—711no—
1239#447—711no—
1240#447—711no—
1241#447—711no—
1242#447—711no—
1243#447—711no—
1244#442—711no—
1245#442—711no—
1246#442—711no—
1247#442C2×D7111yescharacteristic, complemented
1248C4×D8—711no—
1249C4×D8—711no—
1250C4×D8—711no—
1251C4×D8—711no—
1252#436—711no—
1253#436—711no—
1254#436—711no—
1255#436—711no—
1256#435—711no—
1257#435—711no—
1258#435—711no—
1259#435C2×D7111yescharacteristic, complemented
1260#427—711no—
1261#424—711no—
1262#419—711no—
1263#418—711no—
1264#418—711no—
1265#418—711no—
1266#416—711no—
1267#416—711no—
1268#408—711no—
1269#407—711no—
1270#405—711no—
1271C25—1421no—
1272H(5,𝔽2)—2842no—
1273H(5,𝔽2)—2842no—
1274H(5,𝔽2)—1424no—
1275H(5,𝔽2)—1424no—
1276C2×#41—2842no—
1277C2×#41—711no—
1278C2×#41—711no—
1279C2×#41—711no—
1280C2×#41—711no—
1281C2×#41—711no—
1282C2×#41—711no—
1283C2×#41—711no—
1284C2×#41—711no—
1285C2×#41—1421no—
1286C2×#41—1421no—
1287C2×#41—1421no—
1288C2×#41—1424no—
1289C2×#41—1421no—
1290C2×#41C22×D7111yescharacteristic
1291C2×#41C22×D7111yescharacteristic
1292C2×#41C22×D7111yescharacteristic, complemented
1293C22×Q8—711no—
1294C22×D4—2842no—
1295C22×D4—711no—
1296C22×D4—711no—
1297C22×D4—711no—
1298C22×D4—711no—
1299C22×D4—711no—
1300C22×D4—711no—
1301C22×D4—711no—
1302C22×D4—711no—
1303C22×D4—711no—
1304C22×D4—711no—
1305C22×D4—1421no—
1306C22×D4—1421no—
1307C22×D4—1421no—
1308C22×D4—1421no—
1309C22×D4—1421no—
1310C22×D4—1421no—
1311C22×D4—1421no—
1312C22×D4—1421no—
1313C22×D4—1421no—
1314C22×D4—1421no—
1315C22×D4—1421no—
1316C22×D4—1424no—
1317C22×D4—1421no—
1318C22×D4—1421no—
1319C22×D4—1421no—
1320C22×D4C22×D7111yescharacteristic
1321C23×C4—711no—
1322C23×C4—1421no—
1323#137—2842no—
1324AGL(1,ℤ/8)—24no—
1325AGL(1,ℤ/8)—2842no—
1326AGL(1,ℤ/8)—1424no—
1327AGL(1,ℤ/8)—1424no—
1328AGL(1,ℤ/8)—1424no—
1329AGL(1,ℤ/8)—1424no—
1330AGL(1,ℤ/8)—1424no—
1331AGL(1,ℤ/8)—1424no—
1332AGL(1,ℤ/8)—1424no—
1333AGL(1,ℤ/8)—1424no—
1334AGL(1,ℤ/8)—1424no—
1335AGL(1,ℤ/8)—1424no—
1336AGL(1,ℤ/8)—1424no—
1337AGL(1,ℤ/8)—1424no—
1338AGL(1,ℤ/8)—1424no—
1339#135—24no—
1340#135—1424no—
1341#135—1424no—
1342C2×Q16—711no—
1343C2×Q16C22×D7111yescharacteristic, complemented
1344C2×Q16C22×D7111yescharacteristic, complemented
1345C2×SD16—711no—
1346C2×SD16—711no—
1347C2×SD16—711no—
1348C2×SD16—711no—
1349C2×SD16—711no—
1350C2×SD16—711no—
1351C2×SD16—711no—
1352C2×SD16—711no—
1353C2×SD16—711no—
1354C2×SD16—711no—
1355C2×SD16—711no—
1356C2×SD16—711no—
1357C2×SD16—711no—
1358C2×SD16—1424no—
1359C2×SD16—1424no—
1360C2×SD16C22×D7111yescharacteristic
1361C2×SD16C22×D7111yescharacteristic
1362C2×SD16C22×D7111yescharacteristic
1363C2×SD16C22×D7111yescharacteristic
1364C2×SD16C22×D7111yescharacteristic, complemented
1365C2×D8—711no—
1366C2×D8—711no—
1367C2×D8—711no—
1368C2×D8—718no—
1369C2×D8—711no—
1370C2×D8—711no—
1371C2×D8—711no—
1372C2×D8—711no—
1373C2×D8—711no—
1374C2×D8—711no—
1375C2×D8—711no—
1376C2×D8—711no—
1377C2×D8—711no—
1378C2×D8—711no—
1379C2×D8—1424no—
1380C2×D8—1424no—
1381C2×D8—1424no—
1382C2×D8C22×D7111yescharacteristic
1383C2×D8C22×D7111yescharacteristic
1384#131—1424no—
1385C2×M16—711no—
1386C2×M16—711no—
1387C2×M16—711no—
1388C2×M16—711no—
1389C2×M16—711no—
1390C2×M16—711no—
1391C2×M16—711no—
1392C2×M16—1424no—
1393C2×M16C22×D7111yescharacteristic
1394C22×C8—711no—
1395C22×C8—711no—
1396C22×C8—711no—
1397C22×C8C22×D7111yescharacteristic, complemented
1398C4⋊Q8—711no—
1399C4⋊Q8—1421no—
1400C4⋊Q8C22×D7111yescharacteristic, complemented
1401#127—711no—
1402#127—711no—
1403#127—1421no—
1404#124—711no—
1405#124—711no—
1406#124—711no—
1407#124—1421no—
1408#124—1421no—
1409#124C22×D7111yescharacteristic
1410#123—21no—
1411#123—21no—
1412#123—21no—
1413#123—711no—
1414#123—711no—
1415#123—1421no—
1416#123—1421no—
1417#123—1421no—
1418#123—1421no—
1419#123—1421no—
1420#123—1421no—
1421#123—1421no—
1422#123—1421no—
1423#123—1421no—
1424#123—1421no—
1425#123—1421no—
1426#123—1421no—
1427#123—1421no—
1428#123—1421no—
1429#123—1421no—
1430#123—1421no—
1431#123—1421no—
1432#123—1421no—
1433#123—1421no—
1434C22⋊Q8—711no—
1435C22⋊Q8—711no—
1436C22⋊Q8—711no—
1437C22⋊Q8—711no—
1438C22⋊Q8—711no—
1439C22⋊Q8—711no—
1440C22⋊Q8—711no—
1441C22⋊Q8—1421no—
1442C22⋊Q8—1421no—
1443C22⋊Q8C22×D7111yescharacteristic
1444C22⋊Q8C22×D7111yescharacteristic
1445C22⋊Q8C22×D7111yescharacteristic, complemented
1446#121—21no—
1447#121—21no—
1448#121—711no—
1449#121—711no—
1450#121—711no—
1451#121—711no—
1452#121—711no—
1453#121—711no—
1454#121—711no—
1455#121—711no—
1456#121—711no—
1457#121—1421no—
1458#121—1421no—
1459#121—1421no—
1460#121—1421no—
1461#121—1421no—
1462#121—1421no—
1463#121—1421no—
1464#121—1421no—
1465#121—1421no—
1466#121—1421no—
1467#121—1421no—
1468#121—1421no—
1469#121—1421no—
1470#121—1421no—
1471#121—1421no—
1472#121—1421no—
1473#121C22×D7111yescharacteristic
1474#120—21no—
1475#120—711no—
1476#120—711no—
1477#120—1421no—
1478#120—1421no—
1479#120—1421no—
1480#120—1421no—
1481#120—1421no—
1482#120—1421no—
1483#120—1421no—
1484#120—1421no—
1485#120—1421no—
1486#120—1421no—
1487#120—1421no—
1488#120—1421no—
1489#120—1421no—
1490#120—1421no—
1491#120—1421no—
1492#120—1421no—
1493#120—1421no—
1494#120—1421no—
1495#120—1421no—
1496#120—1421no—
1497#120—1421no—
1498C4×D4—711no—
1499C4×D4—711no—
1500C4×D4—711no—
1501C4×D4—711no—
1502C4×D4—711no—
1503C4×D4—711no—
1504C4×D4—711no—
1505C4×D4—711no—
1506C4×D4—711no—
1507C4×D4—1421no—
1508C4×D4—1421no—
1509C4×D4—1421no—
1510C4×D4—1421no—
1511C4×D4—1421no—
1512C4×D4—1421no—
1513C4×D4—1421no—
1514C4×D4—1421no—
1515C4×D4C22×D7111yescharacteristic
1516C4×D4C22×D7111yescharacteristic
1517C4×D4C22×D7111yescharacteristic, complemented
1518#117—711no—
1519#117—711no—
1520#117—711no—
1521C2×C4⋊C4—21no—
1522C2×C4⋊C4—1421no—
1523C2×C4⋊C4—1421no—
1524C2×C4⋊C4—1421no—
1525C2×C22⋊C4—21no—
1526C2×C22⋊C4—1421no—
1527C2×C22⋊C4—1421no—
1528C2×C22⋊C4—1421no—
1529C2×C22⋊C4—1421no—
1530C2×C22⋊C4—1421no—
1531C2×C22⋊C4—1421no—
1532C2×C22⋊C4—1421no—
1533C2×C22⋊C4—1421no—
1534C2×C22⋊C4—1421no—
1535C2×C22⋊C4—1421no—
1536C2×C22⋊C4—1421no—
1537#107—711no—
1538#107—711no—
1539#106—711no—
1540#106C22×D7111yescharacteristic, complemented
1541C4⋊C8—711no—
1542C4⋊C8—711no—
1543C4⋊C8—711no—
1544C4⋊C8C22×D7111yescharacteristic, complemented
1545#103—711no—
1546#103—711no—
1547#103—711no—
1548#103—711no—
1549#103—711no—
1550#103C22×D7111yescharacteristic, complemented
1551#103C22×D7111yescharacteristic, complemented
1552#103C22×D7111yescharacteristic, complemented
1553#102—711no—
1554#102—711no—
1555#102—711no—
1556#102—711no—
1557#102—711no—
1558#102—711no—
1559#102—711no—
1560#102—711no—
1561#102—711no—
1562#102—711no—
1563#102—711no—
1564#102—711no—
1565#102—711no—
1566#102C22×D7111yescharacteristic
1567#102C22×D7111yescharacteristic
1568#102C22×D7111yescharacteristic, complemented
1569C22⋊C8—711no—
1570C22⋊C8—711no—
1571C22⋊C8—711no—
1572C22⋊C8—711no—
1573C22⋊C8—711no—
1574C22⋊C8—711no—
1575C22⋊C8C22×D7111yescharacteristic
1576C22⋊C8C22×D7111yescharacteristic, complemented
1577#97—711no—
1578#97C22×D7111yescharacteristic, complemented
1579C4×C8—711no—
1580C4×C8—711no—
1581C24—21no—
1582C24—2844no—
1583C24—5682no—
1584C24—5682no—
1585C24—711no—
1586C24—1421no—
1587C24—1421no—
1588C24—1421no—
1589C24—1421no—
1590C24—1421no—
1591C24—1421no—
1592C24—1421no—
1593C24—1421no—
1594C24—1421no—
1595C24—1421no—
1596#41—22no—
1597#41—22no—
1598#41—22no—
1599#41—41no—
1600#41—41no—
1601#41—41no—
1602#41—2841no—
1603#41—2844no—
1604#41—2844no—
1605#41—2844no—
1606#41—2841no—
1607#41—2844no—
1608#41—2841no—
1609#41—2841no—
1610#41—2841no—
1611#41—1422no—
1612#41—1422no—
1613#41—1422no—
1614#41—1422no—
1615#41—1422no—
1616#41—1422no—
1617#41—1422no—
1618#41—1422no—
1619#41—1422no—
1620#41—1422no—
1621#41—1422no—
1622C2×Q8—711no—
1623C2×Q8—711no—
1624C2×Q8—1421no—
1625C2×Q8—1422no—
1626C2×Q8—1422no—
1627C2×Q8C23×D7111yescharacteristic
1628C2×Q8C23×D7111yescharacteristic
1629C2×Q8C23×D7111yescharacteristic
1630C2×D4—22no—
1631C2×D4—21no—
1632C2×D4—21no—
1633C2×D4—21no—
1634C2×D4—21no—
1635C2×D4—21no—
1636C2×D4—41no—
1637C2×D4—2841no—
1638C2×D4—2841no—
1639C2×D4—2841no—
1640C2×D4—2844no—
1641C2×D4—2844no—
1642C2×D4—2844no—
1643C2×D4—2844no—
1644C2×D4—2844no—
1645C2×D4—2844no—
1646C2×D4—2844no—
1647C2×D4—2841no—
1648C2×D4—2841no—
1649C2×D4—2841no—
1650C2×D4—2841no—
1651C2×D4—2844no—
1652C2×D4—2844no—
1653C2×D4—2844no—
1654C2×D4—5682no—
1655C2×D4—5682no—
1656C2×D4—5682no—
1657C2×D4—5682no—
1658C2×D4—711no—
1659C2×D4—711no—
1660C2×D4—714no—
1661C2×D4—714no—
1662C2×D4—711no—
1663C2×D4—711no—
1664C2×D4—711no—
1665C2×D4—711no—
1666C2×D4—711no—
1667C2×D4—711no—
1668C2×D4—711no—
1669C2×D4—711no—
1670C2×D4—711no—
1671C2×D4—1421no—
1672C2×D4—1421no—
1673C2×D4—1421no—
1674C2×D4—1421no—
1675C2×D4—1421no—
1676C2×D4—1421no—
1677C2×D4—1422no—
1678C2×D4—1422no—
1679C2×D4—1422no—
1680C2×D4—1421no—
1681C2×D4—1421no—
1682C2×D4—1422no—
1683C2×D4—1422no—
1684C2×D4—1422no—
1685C2×D4—1422no—
1686C2×D4—1421no—
1687C2×D4—1421no—
1688C2×D4—1421no—
1689C2×D4—1421no—
1690C2×D4—1421no—
1691C2×D4—1421no—
1692C2×D4—1421no—
1693C2×D4—1421no—
1694C2×D4—1421no—
1695C2×D4—1422no—
1696C2×D4—1421no—
1697C2×D4—1421no—
1698C2×D4—1421no—
1699C2×D4—1422no—
1700C2×D4—1422no—
1701C2×D4—1422no—
1702C2×D4—1421no—
1703C2×D4—1421no—
1704C2×D4—1421no—
1705C2×D4—1421no—
1706C2×D4—1421no—
1707C2×D4—1421no—
1708C2×D4—1421no—
1709C2×D4—1421no—
1710C2×D4D4×D7111yescharacteristic
1711C2×D4C23×D7111yescharacteristic
1712C2×D4C23×D7111yescharacteristic
1713C2×D4C23×D7111yescharacteristic
1714C22×C4—21no—
1715C22×C4—21no—
1716C22×C4—21no—
1717C22×C4—21no—
1718C22×C4—21no—
1719C22×C4—2844no—
1720C22×C4—711no—
1721C22×C4—711no—
1722C22×C4—711no—
1723C22×C4—711no—
1724C22×C4—711no—
1725C22×C4—711no—
1726C22×C4—1421no—
1727C22×C4—1421no—
1728C22×C4—1421no—
1729C22×C4—1421no—
1730C22×C4—1421no—
1731C22×C4—1421no—
1732C22×C4—1421no—
1733C22×C4—1421no—
1734C22×C4—1422no—
1735C22×C4—1422no—
1736C22×C4—1421no—
1737C22×C4—1421no—
1738C22×C4—1421no—
1739C22×C4—1421no—
1740C22×C4—1421no—
1741C22×C4—1421no—
1742C22×C4C23×D7111yescharacteristic
1743C22×C4C23×D7111yescharacteristic
1744Q16—22no—
1745Q16—41no—
1746Q16—2841no—
1747SD16—22no—
1748SD16—22no—
1749SD16—22no—
1750SD16—22no—
1751SD16—41no—
1752SD16—2841no—
1753SD16—2841no—
1754SD16—2841no—
1755SD16—1422no—
1756SD16—1422no—
1757SD16—1422no—
1758SD16—1422no—
1759SD16—1422no—
1760SD16—1422no—
1761SD16—1422no—
1762SD16—1422no—
1763SD16—1422no—
1764SD16—1422no—
1765D8—22no—
1766D8—2841no—
1767D8—2841no—
1768D8—714no—
1769D8—714no—
1770D8—714no—
1771D8—1422no—
1772D8—1422no—
1773D8—1422no—
1774D8—1422no—
1775D8—1422no—
1776D8—1422no—
1777D8—1422no—
1778D8—1422no—
1779D8D4×D7114yescomplemented
1780M16—22no—
1781M16—1422no—
1782M16—1422no—
1783M16—1422no—
1784M16—1422no—
1785M16—1422no—
1786M16—1422no—
1787M16—1422no—
1788C2×C8—22no—
1789C2×C8—711no—
1790C2×C8—714no—
1791C2×C8—711no—
1792C2×C8—711no—
1793C2×C8—711no—
1794C2×C8—1422no—
1795C2×C8—1422no—
1796C2×C8C23×D7111yescharacteristic
1797C2×C8C23×D7111yescharacteristic
1798C2×C8C23×D7111yescharacteristic
1799C2×C8C23×D7111yescharacteristic
1800C4⋊C4—21no—
1801C4⋊C4—21no—
1802C4⋊C4—21no—
1803C4⋊C4—21no—
1804C4⋊C4—21no—
1805C4⋊C4—711no—
1806C4⋊C4—711no—
1807C4⋊C4—711no—
1808C4⋊C4—711no—
1809C4⋊C4—711no—
1810C4⋊C4—711no—
1811C4⋊C4—711no—
1812C4⋊C4—1421no—
1813C4⋊C4—1421no—
1814C4⋊C4—1421no—
1815C4⋊C4—1421no—
1816C4⋊C4—1421no—
1817C4⋊C4—1421no—
1818C4⋊C4—1421no—
1819C4⋊C4D4×D7111yescharacteristic
1820C4⋊C4C23×D7111yescharacteristic
1821C4⋊C4C23×D7111yescharacteristic
1822C22⋊C4—21no—
1823C22⋊C4—21no—
1824C22⋊C4—21no—
1825C22⋊C4—21no—
1826C22⋊C4—21no—
1827C22⋊C4—21no—
1828C22⋊C4—21no—
1829C22⋊C4—21no—
1830C22⋊C4—711no—
1831C22⋊C4—711no—
1832C22⋊C4—711no—
1833C22⋊C4—711no—
1834C22⋊C4—711no—
1835C22⋊C4—711no—
1836C22⋊C4—711no—
1837C22⋊C4—711no—
1838C22⋊C4—1421no—
1839C22⋊C4—1421no—
1840C22⋊C4—1421no—
1841C22⋊C4—1421no—
1842C22⋊C4—1421no—
1843C22⋊C4—1421no—
1844C22⋊C4—1421no—
1845C22⋊C4—1421no—
1846C22⋊C4—1421no—
1847C22⋊C4—1421no—
1848C22⋊C4—1421no—
1849C22⋊C4—1421no—
1850C22⋊C4—1421no—
1851C22⋊C4—1421no—
1852C22⋊C4—1421no—
1853C22⋊C4—1421no—
1854C22⋊C4—1421no—
1855C22⋊C4—1421no—
1856C22⋊C4—1421no—
1857C22⋊C4—1421no—
1858C22⋊C4—1421no—
1859C22⋊C4—1421no—
1860C22⋊C4—1421no—
1861C22⋊C4—1421no—
1862C22⋊C4—1421no—
1863C22⋊C4—1421no—
1864C22⋊C4D4×D7111yescharacteristic
1865C22⋊C4D4×D7111yescharacteristic
1866C42—711no—
1867C42—1421no—
1868C42—1421no—
1869C42C23×D7111yescharacteristic
1870C23—21no—
1871C23—21no—
1872C23—21no—
1873C23—42no—
1874C23—42no—
1875C23—81no—
1876C23—2841no—
1877C23—2841no—
1878C23—2842no—
1879C23—2842no—
1880C23—2842no—
1881C23—2842no—
1882C23—2842no—
1883C23—2842no—
1884C23—2842no—
1885C23—2842no—
1886C23—2842no—
1887C23—2842no—
1888C23—2842no—
1889C23—5681no—
1890C23—5681no—
1891C23—5681no—
1892C23—5681no—
1893C23—5681no—
1894C23—5681no—
1895C23—5681no—
1896C23—5681no—
1897C23—5681no—
1898C23—5681no—
1899C23—5681no—
1900C23—5681no—
1901C23—5681no—
1902C23—5681no—
1903C23—5681no—
1904C23—5681no—
1905C23—5681no—
1906C23—56816no—
1907C23—711no—
1908C23—711no—
1909C23—711no—
1910C23—1422no—
1911C23—1424no—
1912C23—1424no—
1913C23—1421no—
1914C23—1421no—
1915C23—1421no—
1916C23—1421no—
1917C23—1421no—
1918C23C2×D4×D7111yescharacteristic
1919C23C2×D4×D7111yescharacteristic
1920Q8—21no—
1921Q8—21no—
1922Q8—21no—
1923Q8—21no—
1924Q8—21no—
1925Q8—21no—
1926Q8—2842no—
1927Q8—1422no—
1928Q8—1421no—
1929Q8—1421no—
1930D4—21no—
1931D4—21no—
1932D4—21no—
1933D4—21no—
1934D4—41no—
1935D4—42no—
1936D4—42no—
1937D4—42no—
1938D4—42no—
1939D4—81no—
1940D4—2842no—
1941D4—2842no—
1942D4—2842no—
1943D4—2841no—
1944D4—2842no—
1945D4—2842no—
1946D4—2842no—
1947D4—2842no—
1948D4—2842no—
1949D4—2842no—
1950D4—2842no—
1951D4—2842no—
1952D4—2842no—
1953D4—2842no—
1954D4—2842no—
1955D4—2842no—
1956D4—2842no—
1957D4—2841no—
1958D4—2841no—
1959D4—2842no—
1960D4—5681no—
1961D4—5681no—
1962D4—5681no—
1963D4—5681no—
1964D4—5681no—
1965D4—5681no—
1966D4—5681no—
1967D4—5681no—
1968D4—5681no—
1969D4—712no—
1970D4—712no—
1971D4—1422no—
1972D4—1422no—
1973D4—1424no—
1974D4—1424no—
1975D4—1422no—
1976D4—1421no—
1977D4—1421no—
1978D4—1421no—
1979D4—1421no—
1980D4—1421no—
1981D4—1421no—
1982D4—1421no—
1983D4—1421no—
1984D4C2×D4×D7112yes—
1985D4C2×D4×D7112yes—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—21no—
1993C2×C4—21no—
1994C2×C4—21no—
1995C2×C4—42no—
1996C2×C4—42no—
1997C2×C4—42no—
1998C2×C4—81no—
1999C2×C4—81no—
2000C2×C4—2842no—
2001C2×C4—2842no—
2002C2×C4—2842no—
2003C2×C4—2842no—
2004C2×C4—2842no—
2005C2×C4—2842no—
2006C2×C4—2842no—
2007C2×C4—2842no—
2008C2×C4—5681no—
2009C2×C4—5681no—
2010C2×C4—5681no—
2011C2×C4—5681no—
2012C2×C4—5681no—
2013C2×C4—5681no—
2014C2×C4—711no—
2015C2×C4—712no—
2016C2×C4—712no—
2017C2×C4—711no—
2018C2×C4—711no—
2019C2×C4—711no—
2020C2×C4—711no—
2021C2×C4—1422no—
2022C2×C4—1422no—
2023C2×C4—1421no—
2024C2×C4—1421no—
2025C2×C4—1421no—
2026C2×C4—1422no—
2027C2×C4—1421no—
2028C2×C4—1421no—
2029C2×C4—1421no—
2030C2×C4—1421no—
2031C2×C4C2×D4×D7111yescharacteristic
2032C2×C4C2×D4×D7111yescharacteristic
2033C2×C4C2×D4×D7111yescharacteristic
2034C2×C4C2×D4×D7111yescharacteristic
2035C2×C4C24×D7111yescharacteristic
2036C8—21no—
2037C8—21no—
2038C8—21no—
2039C8—712no—
2040C8—1421no—
2041C8—1421no—
2042C8—1421no—
2043C8C2×D4×D7112yes—
2044C22—21no—
2045C22—21no—
2046C22—22no—
2047C22—22no—
2048C22—21no—
2049C22—21no—
2050C22—21no—
2051C22—21no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—41no—
2058C22—41no—
2059C22—84no—
2060C22—2844no—
2061C22—2841no—
2062C22—2841no—
2063C22—2841no—
2064C22—2841no—
2065C22—2841no—
2066C22—2841no—
2067C22—2841no—
2068C22—2841no—
2069C22—2841no—
2070C22—2841no—
2071C22—2841no—
2072C22—2841no—
2073C22—2841no—
2074C22—5684no—
2075C22—5684no—
2076C22—5684no—
2077C22—5684no—
2078C22—5684no—
2079C22—5684no—
2080C22—712no—
2081C22—11362no—
2082C22—11362no—
2083C22—11362no—
2084C22—11362no—
2085C22—1422no—
2086C22—1422no—
2087C22—1421no—
2088C22—1421no—
2089C22—1421no—
2090C22—1421no—
2091C22—1421no—
2092C22—1421no—
2093C22—1421no—
2094C22—1421no—
2095C22C22×D4×D7111yescharacteristic
2096C4—21no—
2097C4—21no—
2098C4—21no—
2099C4—21no—
2100C4—41no—
2101C4—41no—
2102C4—41no—
2103C4—41no—
2104C4—41no—
2105C4—2841no—
2106C4—2841no—
2107C4—2841no—
2108C4—712no—
2109C4—1421no—
2110C4—1421no—
2111C4—1421no—
2112C4—1421no—
2113C4C22×D4×D7111yescharacteristic
2114C4H(5,𝔽2)×D7111yescharacteristic
2115C2—41no—
2116C2—41no—
2117C2—42no—
2118C2—42no—
2119C2—81no—
2120C2—2841no—
2121C2—2842no—
2122C2—2842no—
2123C2—2841no—
2124C2—5681no—
2125C2—5681no—
2126C2—5681no—
2127C2—1422no—
2128C2D42×D7111yescharacteristic
2129C2#2260311711yescharacteristic
2130C2#2260311811yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3267C2
socleC22×C71C23×D4
hypercenter#3267D71
hypocenterC71#61058
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. C2×#17986801C2semidirect
2. C2×AGL(1,ℤ/8)×D71C2semidirect
3. #22601979C2semidirect
4. #22601970C2semidirect
5. #22599947C2semidirect
6. #22599946C2semidirect
7. #22599944C2semidirect
8. #22599944C2semidirect
9. #22599943C2semidirect
10. #22599940C2semidirect
11. #22599938C2semidirect
12. #22599933C2semidirect
13. #22599872C2semidirect
14. #22599865C2semidirect
15. #22599864C2semidirect
16. #22599825C2semidirect
17. #22599822C2semidirect
18. #22599817C2semidirect
19. #22599814C2semidirect
20. #22598815C2semidirect
21. #22597974C2semidirect
22. #22597951C2semidirect
23. #22597847C2semidirect
24. #22597841C2semidirect
25. #22597614C2semidirect
26. #22597605C2semidirect
27. #22597583C2semidirect
28. #22597568C2semidirect
29. #22597189C2semidirect
30. #22597038C2semidirect
31. C71×#3267C2semidirect
33. C2×#14556174C22semidirect
34. C2×#41×D71C22semidirect
35. C22×D4×D71C22semidirect
37. C2×#14556160C22semidirect
38. C2×#14556156C22semidirect
40. C2×#14556155C22semidirect
41. C2×#14556155C22semidirect
42. C2×#14556155C22semidirect
43. C2×#14556155C22semidirect
44. C2×#14556155C22semidirect
45. C2×#14556155C22semidirect
46. C2×#14556154C22semidirect
47. C2×#14556153C22semidirect
48. C2×#14556153C22semidirect
49. C2×#14556153C22semidirect
50. C2×#14556152C22semidirect
51. C2×#14556152C22semidirect
53. C2×#14556151C22semidirect
54. C2×#14556151C22semidirect
55. C2×SD16×D71C22semidirect
56. C2×SD16×D71C22semidirect
57. C22×D568C22semidirect
59. C2×D8×D71C22semidirect
60. C2×D8×D71C22semidirect
61. C2×#14556134C22semidirect
62. C2×M16×D71C22semidirect
63. #17986652C22semidirect
64. #17986651C22semidirect
66. #17986648C22semidirect
68. #17986645C22semidirect
69. #17986644C22semidirect
70. #17986642C22semidirect
73. #17986640C22semidirect
74. #17986640C22semidirect
77. #17986637C22semidirect
78. #17986637C22semidirect
79. D4×D284C22semidirect
80. D4×D284C22semidirect
82. #17986633C22semidirect
83. D4×C22⋊D71C22semidirect
85. #17986574C22semidirect
86. #17986572C22semidirect
87. #17986567C22semidirect
93. #17986512C22semidirect
94. #17986512C22semidirect
100. #17986471C22semidirect
101. #17986471C22semidirect
102. #17986392C22semidirect
103. #17986388C22semidirect
104. #17986385C22semidirect
105. #17986384C22semidirect
106. #17986381C22semidirect
107. #17986373C22semidirect
108. #17986370C22semidirect
109. #17986254C22semidirect
110. #17986253C22semidirect
111. #17986252C22semidirect
112. #17986248C22semidirect
113. #17986248C22semidirect
114. #17986248C22semidirect
115. #17986247C22semidirect
116. #17986247C22semidirect
117. #17986247C22semidirect
118. #17986244C22semidirect
119. #17986243C22semidirect
120. #17986229C22semidirect
121. #17986228C22semidirect
122. #17986225C22semidirect
123. #17986217C22semidirect
124. #17986217C22semidirect
125. #17986216C22semidirect
126. #17986216C22semidirect
127. #17986215C22semidirect
128. #17986214C22semidirect
129. #17986211C22semidirect
130. #17986203C22semidirect
131. #17986202C22semidirect
132. #17986201C22semidirect
133. #17986195C22semidirect
134. #17986194C22semidirect
135. #17986193C22semidirect
136. #17986192C22semidirect
137. #17986164C22semidirect
138. #17986161C22semidirect
139. #17986160C22semidirect
140. #17986160C22semidirect
141. #17986159C22semidirect
142. #17986158C22semidirect
143. #17986152C22semidirect
144. #17986151C22semidirect
145. #17986149C22semidirect
146. #17986149C22semidirect
147. #17986148C22semidirect
148. #17986148C22semidirect
149. #17986148C22semidirect
150. #17986147C22semidirect
151. #17986147C22semidirect
152. #17986146C22semidirect
153. #17986145C22semidirect
154. #17986144C22semidirect
155. #17986144C22semidirect
156. #17986143C22semidirect
157. #17986135C22semidirect
158. #17986135C22semidirect
159. #17986134C22semidirect
160. #17986134C22semidirect
161. #17986134C22semidirect
162. #17986133C22semidirect
163. #17986132C22semidirect
164. #17986131C22semidirect
165. #17986112C22semidirect
166. #17986111C22semidirect
167. #17986110C22semidirect
168. C4×#11765850C22semidirect
169. C4×#11765850C22semidirect
170. #17986079C22semidirect
171. #17986079C22semidirect
172. #17986077C22semidirect
173. #17986076C22semidirect
174. #17986074C22semidirect
175. #17986074C22semidirect
176. #17986072C22semidirect
177. #17986070C22semidirect
178. #17986068C22semidirect
179. #17986034C22semidirect
180. #17986024C22semidirect
181. #17986006C22semidirect
182. #17986002C22semidirect
183. #17986002C22semidirect
184. #17986002C22semidirect
185. #17985994C22semidirect
186. #17985994C22semidirect
187. #17985964C22semidirect
188. #17985961C22semidirect
189. #17985956C22semidirect
190. C2×AGL(1,ℤ/8)×C71C22semidirect
191. C2×#135×C71C22semidirect
192. #547×C71C22semidirect
193. #546×C71C22semidirect
194. #497×C71C22semidirect
195. #470×C71C22semidirect
196. #465×C71C22semidirect
197. #463×C71C22semidirect
198. #461×C71C22semidirect
199. #452×C71C22semidirect
200. #452×C71C22semidirect
201. #450×C71C22semidirect
202. #449×C71C22semidirect
203. #442×C71C22semidirect
204. #435×C71C22semidirect
214. C2×#11765866C23semidirect
230. C22×D284C23semidirect
250. C2×D4×D71C23semidirect
270. C2×#11765855C23semidirect
273. C2×#11765854C23semidirect
280. C2×#11765852C23semidirect
281. C2×#11765852C23semidirect
282. C2×#11765852C23semidirect
283. C2×#11765852C23semidirect
291. C2×D568C23semidirect
292. C2×D568C23semidirect
299. C2×#11765850C23semidirect
302. D8×D71D4semidirect
305. C2×#11765849C23semidirect
310. C2×#11765848C23semidirect
314. C2×C8×D71C23semidirect
316. #14556126C23semidirect
321. #14556117C23semidirect
322. #14556116C23semidirect
346. #14556108C23semidirect
347. #14556107C23semidirect
354. #14556104C23semidirect
405. C4×D284C23semidirect
407. D4×Dic71C23semidirect
411. #14556090C23semidirect
437. #14556061C23semidirect
438. #14556061C23semidirect
439. #14556060C23semidirect
440. C4⋊(C71⋊C8)C23semidirect
441. Dic71⋊C8C23semidirect
442. Dic71⋊C8C23semidirect
443. #14556053C23semidirect
444. #14556052C23semidirect
445. #14556052C23semidirect
446. #14556052C23semidirect
447. #14556051C23semidirect
450. #14556050C23semidirect
451. #14556050C23semidirect
452. #14556050C23semidirect
455. #14556049C23semidirect
458. #14556048C23semidirect
459. #14556048C23semidirect
460. #14556048C23semidirect
462. C22⋊(C71⋊C8)C23semidirect
465. (C2×D71)⋊C8C23semidirect
466. (C2×D71)⋊C8C23semidirect
467. #14556038C23semidirect
468. C4×C71⋊C8C23semidirect
469. C8×Dic71C23semidirect
472. C2×#41×C71C23semidirect
476. C2×Q16×C71C23semidirect
477. C2×Q16×C71C23semidirect
482. C2×SD16×C71C23semidirect
486. C22×C8×C71C23semidirect
487. C4⋊Q8×C71C23semidirect
494. C22⋊Q8×C71C23semidirect
501. C4×D4×C71C23semidirect
504. #106×C71C23semidirect
505. C4⋊C8×C71C23semidirect
506. #103×C71C23semidirect
507. #103×C71C23semidirect
508. #103×C71C23semidirect
511. #102×C71C23semidirect
513. C22⋊C8×C71C23semidirect
514. #97×C71C23semidirect
626. D4×D71C2×D4semidirect
669. D568C2×D4semidirect
675. #11765850C2×D4semidirect
676. #11765850C2×D4semidirect
690. C8×D71C2×D4semidirect
778. D8×C71C2×D4semidirect
1081. #3267D71semidirect
1097. C71#61058semidirect
1119. C2×AGL(1,ℤ/8)C2×D71semidirect
1122. C2×#135C2×D71semidirect
1136. #547C2×D71semidirect
1148. #546C2×D71semidirect
1173. #497C2×D71semidirect
1181. #470C2×D71semidirect
1195. #465C2×D71semidirect
1203. #463C2×D71semidirect
1207. #461C2×D71semidirect
1218. #452C2×D71semidirect
1219. #452C2×D71semidirect
1227. #450C2×D71semidirect
1235. #449C2×D71semidirect
1247. #442C2×D71semidirect
1259. #435C2×D71semidirect
1292. C2×#41C22×D71semidirect
1343. C2×Q16C22×D71semidirect
1344. C2×Q16C22×D71semidirect
1364. C2×SD16C22×D71semidirect
1397. C22×C8C22×D71semidirect
1400. C4⋊Q8C22×D71semidirect
1445. C22⋊Q8C22×D71semidirect
1517. C4×D4C22×D71semidirect
1540. #106C22×D71semidirect
1544. C4⋊C8C22×D71semidirect
1550. #103C22×D71semidirect
1551. #103C22×D71semidirect
1552. #103C22×D71semidirect
1568. #102C22×D71semidirect
1576. C22⋊C8C22×D71semidirect
1578. #97C22×D71semidirect
1779. D8D4×D71semidirect

Maximal subgroups

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

subgroupindex
C2×#179868012
C2×AGL(1,ℤ/8)×D712
#226019792
#226019702
#225999472
#225999462
#225999442
#225999432
#225999402
#225999382
#225999332
#225998722
#225998652
#225998642
#225998252
#225998222
#225998172
#225998142
#225988152
#225979742
#225979512
#225978472
#225978412
#225976142
#225976052
#225975832
#225975682
#225971892
#225970382
C71×#32672
#6105871