Finite Group Databasebeta

← #32872907

Subgroups — #32872907

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×#17986803C211yesmaximal, characteristic, complemented
2C2×AGL(1,ℤ/8)×D71C211yesmaximal, characteristic, complemented
3#22601979C211yesmaximal, characteristic, complemented
4#22601968C211yesmaximal, characteristic, complemented
5#22599952C211yesmaximal, characteristic, complemented
6#22599950C211yesmaximal, characteristic, complemented
7#22599948C211yesmaximal, characteristic, complemented
8#22599945C211yesmaximal, characteristic, complemented
9#22599939C211yesmaximal, characteristic, complemented
10#22599937C211yesmaximal, characteristic, complemented
11#22599934C211yesmaximal, characteristic, complemented
12#22599871C211yesmaximal, characteristic, complemented
13#22599866C211yesmaximal, characteristic, complemented
14#22599863C211yesmaximal, characteristic, complemented
15#22599858C211yesmaximal, characteristic, complemented
16#22599824C211yesmaximal, characteristic, complemented
17#22599823C211yesmaximal, characteristic, complemented
18#22599816C211yesmaximal, characteristic, complemented
19#22599815C211yesmaximal, characteristic, complemented
20#22598809C211yesmaximal, characteristic, complemented
21#22597977C211yesmaximal, characteristic, complemented
22#22597944C211yesmaximal, characteristic, complemented
23#22597847C211yesmaximal, characteristic, complemented
24#22597838C211yesmaximal, characteristic, complemented
25#22597612C211yesmaximal, characteristic, complemented
26#22597605C211yesmaximal, characteristic, complemented
27#22597578C211yesmaximal, characteristic, complemented
28#22597568C211yesmaximal, characteristic, complemented
29#22597187C211yesmaximal, characteristic, complemented
30#22597040C211yesmaximal, characteristic, complemented
31C71×#3272C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic, complemented
33C2×#14556173C2211yescharacteristic
34C2×#41×D71C2211yescharacteristic, complemented
35C22×D4×D71C2211yescharacteristic, complemented
36#17986803—28no—
37C2×#14556157C2211yescharacteristic, complemented
38C2×#14556156C2211yescharacteristic, complemented
39C2×#14556156C2211yescharacteristic, complemented
40C2×#14556155C2211yescharacteristic
41C2×#14556155C2211yescharacteristic, complemented
42C2×#14556155C2211yescharacteristic, complemented
43C2×#14556155C2211yescharacteristic, complemented
44C2×#14556155C2211yescharacteristic, complemented
45C2×#14556154C2211yescharacteristic, complemented
46C2×#14556153C2211yescharacteristic, complemented
47C2×#14556152C2211yescharacteristic, complemented
48C2×#14556152C2211yescharacteristic, complemented
49C2×#14556152C2211yescharacteristic, complemented
50C2×#14556152C2211yescharacteristic, complemented
51AGL(1,ℤ/8)×D71—28no—
52C2×#14556149C2211yescharacteristic, complemented
53C2×#14556149C2211yescharacteristic, complemented
54C2×#14556148C2211yescharacteristic, complemented
55C2×SD16×D71C2211yescharacteristic, complemented
56C2×SD16×D71C2211yescharacteristic, complemented
57C22×#11765850C2211yescharacteristic, complemented
58C2×D8×D71C2211yescharacteristic
59C2×D8×D71C2211yescharacteristic, complemented
60C2×D8×D71C2211yescharacteristic, complemented
61C2×#14556136C2211yescharacteristic, complemented
62C2×M16×D71C2211yescharacteristic, complemented
63#17986652C2211yescharacteristic, complemented
64#17986651C2211yescharacteristic, complemented
65#17986650—21no—
66#17986648C2211yescharacteristic, complemented
67#17986647—21no—
68#17986646C2211yescharacteristic, complemented
69#17986645C2211yescharacteristic, complemented
70#17986645C2211yescharacteristic, complemented
71#17986644C2211yescharacteristic, complemented
72#17986644C2211yescharacteristic, complemented
73#17986643C2211yescharacteristic, complemented
74#17986641—21no—
75#17986640C2211yescharacteristic, complemented
76#17986638—21no—
77#17986638—21no—
78#17986637C2211yescharacteristic, complemented
79#17986636—21no—
80#17986634C2211yescharacteristic, complemented
81#17986633C2211yescharacteristic, complemented
82D4×C22⋊D71—21no—
83D4×C22⋊D71C2211yescharacteristic, complemented
84#17986631—21no—
85#17986574C2211yescharacteristic, complemented
86#17986572C2211yescharacteristic, complemented
87#17986565C2211yescharacteristic
88#17986562C2211yescharacteristic, complemented
89#17986560—21no—
90#17986559—21no—
91#17986557—21no—
92#17986557—21no—
93#17986512C2211yescharacteristic, complemented
94#17986509C2211yescharacteristic, complemented
95#17986508C2211yescharacteristic
96C2×#14556113—21no—
97#123×D71—21no—
98C2×#14556096—21no—
99#120×D71—21no—
100#17986471C2211yescharacteristic, complemented
101#17986471C2211yescharacteristic, complemented
102#17986391C2211yescharacteristic, complemented
103#17986390C2211yescharacteristic, complemented
104#17986386C2211yescharacteristic, complemented
105#17986385C2211yescharacteristic, complemented
106#17986383C2211yescharacteristic, complemented
107#17986380C2211yescharacteristic, complemented
108#17986370C2211yescharacteristic, complemented
109#17986256C2211yescharacteristic, complemented
110#17986255C2211yescharacteristic, complemented
111#17986251C2211yescharacteristic, complemented
112#17986250C2211yescharacteristic, complemented
113#17986246C2211yescharacteristic, complemented
114#17986246C2211yescharacteristic, complemented
115#17986245C2211yescharacteristic, complemented
116#17986245C2211yescharacteristic, complemented
117#17986242C2211yescharacteristic, complemented
118#17986242C2211yescharacteristic, complemented
119#17986231C2211yescharacteristic, complemented
120#17986230C2211yescharacteristic, complemented
121#17986227C2211yescharacteristic, complemented
122#17986226C2211yescharacteristic, complemented
123#17986217C2211yescharacteristic, complemented
124#17986216C2211yescharacteristic, complemented
125#17986215C2211yescharacteristic, complemented
126#17986215C2211yescharacteristic, complemented
127#17986214C2211yescharacteristic, complemented
128#17986214C2211yescharacteristic, complemented
129#17986213C2211yescharacteristic, complemented
130#17986212C2211yescharacteristic, complemented
131#17986203C2211yescharacteristic, complemented
132#17986202C2211yescharacteristic, complemented
133#17986201C2211yescharacteristic, complemented
134#17986193C2211yescharacteristic, complemented
135#17986192C2211yescharacteristic, complemented
136#17986191C2211yescharacteristic, complemented
137#17986164C2211yescharacteristic, complemented
138#17986163C2211yescharacteristic, complemented
139#17986163C2211yescharacteristic, complemented
140#17986162C2211yescharacteristic, complemented
141#17986162C2211yescharacteristic, complemented
142#17986161C2211yescharacteristic, complemented
143#17986159C2211yescharacteristic, complemented
144#17986158C2211yescharacteristic, complemented
145#17986151C2211yescharacteristic, complemented
146#17986150C2211yescharacteristic, complemented
147#17986149C2211yescharacteristic, complemented
148#17986148C2211yescharacteristic, complemented
149#17986148C2211yescharacteristic, complemented
150#17986148C2211yescharacteristic, complemented
151#17986147C2211yescharacteristic, complemented
152#17986144C2211yescharacteristic, complemented
153#17986143C2211yescharacteristic, complemented
154#17986143C2211yescharacteristic, complemented
155#17986142C2211yescharacteristic, complemented
156#17986141C2211yescharacteristic, 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#17986109C2211yescharacteristic, complemented
166#17986109C2211yescharacteristic, complemented
167#17986108C2211yescharacteristic, complemented
168#17986108C2211yescharacteristic, complemented
169C4×D568C2211yescharacteristic, complemented
170D8×Dic71C2211yescharacteristic, complemented
171#17986081C2211yescharacteristic, complemented
172#17986078C2211yescharacteristic, complemented
173#17986075C2211yescharacteristic, complemented
174#17986075C2211yescharacteristic, complemented
175#17986073C2211yescharacteristic, complemented
176#17986071C2211yescharacteristic, complemented
177#17986069C2211yescharacteristic, complemented
178#17986067C2211yescharacteristic, complemented
179#17986036C2211yescharacteristic, complemented
180#17986024C2211yescharacteristic, complemented
181#17986006C2211yescharacteristic, complemented
182#17986002C2211yescharacteristic, complemented
183#17986002C2211yescharacteristic, complemented
184#17986002C2211yescharacteristic, complemented
185#17985994C2211yescharacteristic, complemented
186#17985992C2211yescharacteristic, complemented
187#17985964C2211yescharacteristic, complemented
188#17985961C2211yescharacteristic, complemented
189#17985953C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
191C2×AGL(1,ℤ/8)×C71C2211yescharacteristic, complemented
192#547×C71C2211yescharacteristic, complemented
193D42×C71C2211yescharacteristic, complemented
194#492×C71C2211yescharacteristic, complemented
195#468×C71C2211yescharacteristic, complemented
196#468×C71C2211yescharacteristic, complemented
197#461×C71C2211yescharacteristic, complemented
198#459×C71C2211yescharacteristic, complemented
199#450×C71C2211yescharacteristic, complemented
200#450×C71C2211yescharacteristic, complemented
201#449×C71C2211yescharacteristic, complemented
202#449×C71C2211yescharacteristic, complemented
203C4×D8×C71C2211yescharacteristic, complemented
204#436×C71C2211yescharacteristic, complemented
205C24×D71—21no—
206#14556174—24no—
207#14556174—42no—
208#14556173—24no—
209#14556173—42no—
210C2×#11765866C2311yescharacteristic
211C2×#11765866C2311yescharacteristic
212C2×#11765866C2311yescharacteristic, complemented
213C2×#11765865—21no—
214C2×#11765865—21no—
215C2×#11765865C2311yescharacteristic
216C2×#11765865C2311yescharacteristic
217C2×#11765865C2311yescharacteristic
218C2×#11765864—21no—
219C2×#11765864—21no—
220C2×#11765864C2311yescharacteristic
221C2×#11765864C2311yescharacteristic
222C2×#11765864C2311yescharacteristic
223#41×D71—24no—
224#41×D71—42no—
225C2×Q8×D71C2311yescharacteristic
226C22×D284—21no—
227C22×D284C2311yescharacteristic
228C22×D284C2311yescharacteristic, complemented
229C22×C22⋊D71—21no—
230C22×C22⋊D71—21no—
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—42no—
243C2×D4×D71C2311yescharacteristic
244C2×D4×D71C2311yescharacteristic
245C2×D4×D71C2311yescharacteristic
246C2×D4×D71C2311yescharacteristic
247C2×D4×D71C2311yescharacteristic
248C2×D4×D71C2311yescharacteristic
249C2×D4×D71C2311yescharacteristic, complemented
250C22×C4×D71—21no—
251C22×C4×D71C2311yescharacteristic
252#14556157—42no—
253#14556156—24no—
254#14556156—24no—
255#14556155—24no—
256#14556155—24no—
257#14556155—24no—
258#14556155—24no—
259#14556155—42no—
260#14556154—24no—
261#14556153—24no—
262#14556152—24no—
263#14556152—24no—
264#14556152—24no—
265#14556152—24no—
266#14556149—24no—
267#14556149—24no—
268#14556148—24no—
269C2×Dic284C2311yescharacteristic, complemented
270C2×#11765855C2311yescharacteristic, complemented
271C2×#11765855C2311yescharacteristic, complemented
272C2×#11765854C2311yescharacteristic
273C2×#11765854C2311yescharacteristic
274C2×#11765854C2311yescharacteristic, complemented
275C2×#11765854C2311yescharacteristic, complemented
276C2×#11765853C2311yescharacteristic
277C2×#11765853C2311yescharacteristic
278C2×#11765853C2311yescharacteristic, complemented
279C2×#11765853C2311yescharacteristic, complemented
280C2×#11765852C2311yescharacteristic
281C2×#11765852C2311yescharacteristic
282C2×#11765852C2311yescharacteristic
283C2×#11765852C2311yescharacteristic
284SD16×D71—24no—
285SD16×D71—24no—
286C2×D568C2311yescharacteristic
287C2×D568C2311yescharacteristic
288C2×D568C2311yescharacteristic
289C2×D568C2311yescharacteristic
290C2×#11765850—24no—
291C2×#11765850C2311yescharacteristic
292C2×#11765850C2311yescharacteristic
293C2×#11765850C2311yescharacteristic
294C2×#11765850C2311yescharacteristic
295C2×#11765850C2311yescharacteristic
296C2×#11765850C2311yescharacteristic
297C2×#11765850C2311yescharacteristic, complemented
298C2×#11765850C2311yescharacteristic, complemented
299D8×D71—24no—
300D8×D71—24no—
301D8×D71D418yescomplemented
302#14556136—24no—
303C2×#11765849C2311yescharacteristic
304C2×#11765848C2311yescharacteristic
305C2×#11765848C2311yescharacteristic
306C2×#11765848C2311yescharacteristic
307C2×#11765848C2311yescharacteristic
308C2×#11765848C2311yescharacteristic, complemented
309M16×D71—24no—
310C22×C71⋊C8C2311yescharacteristic, complemented
311C2×C8×D71C2311yescharacteristic
312C2×C8×D71C2311yescharacteristic
313C2×C8×D71C2311yescharacteristic, complemented
314#14556127—21no—
315#14556126C2311yescharacteristic, complemented
316#14556124—21no—
317#14556124C2311yescharacteristic
318#14556117C2311yescharacteristic, complemented
319#14556116C2311yescharacteristic
320#14556116C2311yescharacteristic, complemented
321#14556115C2311yescharacteristic
322#14556114—21no—
323#14556114—21no—
324#14556113—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#14556113D411yescharacteristic
335#14556112—21no—
336#14556112—21no—
337#14556111—21no—
338#14556111—21no—
339#14556110—21no—
340#14556110—21no—
341#14556110—21no—
342#14556110—21no—
343#14556110D411yescharacteristic
344#14556109—21no—
345#14556109—21no—
346#14556108C2311yescharacteristic
347#14556108C2311yescharacteristic, complemented
348#14556107C2311yescharacteristic
349#14556107C2311yescharacteristic, complemented
350#14556106—21no—
351#14556106—21no—
352#14556106D411yescharacteristic
353#14556105D411yescharacteristic
354#14556104C2311yescharacteristic
355#14556104C2311yescharacteristic, complemented
356#14556103—21no—
357#14556103—21no—
358#14556103C2311yescharacteristic
359#14556103C2311yescharacteristic
360#14556102—21no—
361#14556102—21no—
362#14556102C2311yescharacteristic
363#14556102C2311yescharacteristic
364#14556101—21no—
365#14556101—21no—
366#14556101—21no—
367#14556101—21no—
368#14556101D411yescharacteristic
369#14556100—21no—
370#14556100—21no—
371#14556100—21no—
372#14556100—21no—
373#14556100—21no—
374#14556100—21no—
375#14556100D411yescharacteristic
376#14556099—21no—
377#14556099—21no—
378#14556099C2311yescharacteristic
379#14556099C2311yescharacteristic
380#14556098—21no—
381#14556098—21no—
382#14556098—21no—
383#14556098—21no—
384#14556098—21no—
385#14556098—21no—
386#14556098D411yescharacteristic
387#14556097—21no—
388#14556097—21no—
389#14556096—21no—
390#14556096—21no—
391#14556096—21no—
392#14556096—21no—
393#14556096—21no—
394#14556096—21no—
395#14556096—21no—
396#14556096—21no—
397#14556096—21no—
398#14556096—21no—
399#14556096—21no—
400#14556096—21no—
401#14556096D411yescharacteristic
402C4×D284C2311yescharacteristic
403C4×D284C2311yescharacteristic
404C4×D284C2311yescharacteristic, complemented
405D4×Dic71—21no—
406D4×Dic71C2311yescharacteristic
407D4×Dic71C2311yescharacteristic, complemented
408#14556090—21no—
409#14556090C2311yescharacteristic
410#14556090C2311yescharacteristic, complemented
411C4×C22⋊D71—21no—
412C4×C22⋊D71—21no—
413C4×C22⋊D71C2311yescharacteristic
414C4×C22⋊D71C2311yescharacteristic
415(C22⋊D71)⋊C4—21no—
416(C22⋊D71)⋊C4—21no—
417(C22⋊D71)⋊C4—21no—
418(C22⋊D71)⋊C4—21no—
419#14556086C2311yescharacteristic
420#14556086C2311yescharacteristic
421#14556085C2311yescharacteristic
422C2×Dic71⋊C4—21no—
423C4⋊C4×D71—21no—
424C4⋊C4×D71—21no—
425C2×C22⋊Dic71—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#14556062C2311yescharacteristic, complemented
438#14556059C2311yescharacteristic, complemented
439#14556059C2311yescharacteristic, complemented
440C4⋊(C71⋊C8)C2311yescharacteristic, complemented
441Dic71⋊C8C2311yescharacteristic, complemented
442Dic71⋊C8C2311yescharacteristic, complemented
443#14556053C2311yescharacteristic, complemented
444#14556053C2311yescharacteristic, complemented
445#14556052C2311yescharacteristic, complemented
446#14556052C2311yescharacteristic, complemented
447#14556051C2311yescharacteristic, complemented
448#14556051C2311yescharacteristic, complemented
449#14556050C2311yescharacteristic
450#14556050C2311yescharacteristic
451#14556050C2311yescharacteristic, complemented
452#14556050C2311yescharacteristic, complemented
453#14556049C2311yescharacteristic
454#14556049C2311yescharacteristic
455#14556049C2311yescharacteristic, complemented
456#14556049C2311yescharacteristic, complemented
457#14556048C2311yescharacteristic
458#14556048C2311yescharacteristic
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#14556039C2311yescharacteristic, complemented
468#14556038C2311yescharacteristic, complemented
469C8×Dic71C2311yescharacteristic, complemented
470C2×#41×C71C2311yescharacteristic
471C2×#41×C71C2311yescharacteristic, complemented
472C22×D4×C71—21no—
473C22×D4×C71C2311yescharacteristic
474C22×D4×C71C2311yescharacteristic
475AGL(1,ℤ/8)×C71—24no—
476AGL(1,ℤ/8)×C71—24no—
477C2×SD16×C71C2311yescharacteristic
478C2×SD16×C71C2311yescharacteristic
479C2×SD16×C71C2311yescharacteristic
480C2×SD16×C71C2311yescharacteristic
481C2×SD16×C71C2311yescharacteristic, complemented
482C2×SD16×C71C2311yescharacteristic, complemented
483C2×D8×C71C2311yescharacteristic
484C2×D8×C71C2311yescharacteristic
485C2×D8×C71C2311yescharacteristic, complemented
486C2×M16×C71C2311yescharacteristic
487C2×M16×C71C2311yescharacteristic, complemented
488C4⋊Q8×C71C2311yescharacteristic, complemented
489#127×C71C2311yescharacteristic
490#123×C71—21no—
491#123×C71—21no—
492C22⋊Q8×C71C2311yescharacteristic
493C22⋊Q8×C71C2311yescharacteristic, complemented
494#121×C71—21no—
495#121×C71—21no—
496#121×C71C2311yescharacteristic
497#121×C71C2311yescharacteristic
498#120×C71—21no—
499#120×C71—21no—
500C4×D4×C71C2311yescharacteristic
501C4×D4×C71C2311yescharacteristic
502C4×D4×C71C2311yescharacteristic, complemented
503C2×C4⋊C4×C71—21no—
504#107×C71C2311yescharacteristic, complemented
505C4⋊C8×C71C2311yescharacteristic, complemented
506#103×C71C2311yescharacteristic, complemented
507#103×C71C2311yescharacteristic, complemented
508#102×C71C2311yescharacteristic
509#102×C71C2311yescharacteristic
510#102×C71C2311yescharacteristic, complemented
511#102×C71C2311yescharacteristic, complemented
512C22⋊C8×C71C2311yescharacteristic
513C22⋊C8×C71C2311yescharacteristic, complemented
514C4×C8×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—44no—
525C23×D71—82no—
526C23×D71—82no—
527C23×D71C2×D411yescharacteristic
528#11765866—22no—
529#11765866—22no—
530#11765866—22no—
531#11765866—22no—
532#11765866—41no—
533#11765866—41no—
534#11765865—22no—
535#11765865—22no—
536#11765865—22no—
537#11765865—22no—
538#11765865—41no—
539#11765865—41no—
540#11765865—44no—
541#11765865—44no—
542#11765864—22no—
543#11765864—22no—
544#11765864—22no—
545#11765864—22no—
546#11765864—41no—
547#11765864—41no—
548#11765864—44no—
549#11765864—44no—
550C2×Dic142—21no—
551C2×Dic142C2×D411yescharacteristic
552C2×Dic142C2411yescharacteristic
553C2×Dic142C2411yescharacteristic
554Q8×D71—22no—
555Q8×D71—22no—
556C2×D284—22no—
557C2×D284—22no—
558C2×D284—21no—
559C2×D284—21no—
560C2×D284—21no—
561C2×D284—21no—
562C2×D284—21no—
563C2×D284—21no—
564C2×D284—21no—
565C2×D284—41no—
566C2×D284—41no—
567C2×D284—44no—
568C2×D284C2×D411yescharacteristic
569C2×D284C2×D411yescharacteristic
570C2×D284C2411yescharacteristic
571C2×D284C2411yescharacteristic
572C2×D284C2411yescharacteristic
573C2×D284C2411yescharacteristic
574C2×C22⋊D71—21no—
575C2×C22⋊D71—21no—
576C2×C22⋊D71—21no—
577C2×C22⋊D71—21no—
578C2×C22⋊D71—21no—
579C2×C22⋊D71—21no—
580C2×C22⋊D71—21no—
581C2×C22⋊D71—21no—
582C2×C22⋊D71—21no—
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—44no—
593C2×C22⋊D71—44no—
594C2×C22⋊D71—44no—
595C2×C22⋊D71—82no—
596C2×C22⋊D71C2×D411yescharacteristic
597C2×C22⋊D71C2×D411yescharacteristic
598C2×C22⋊D71C2×D411yescharacteristic
599C2×C22⋊D71C2×D411yescharacteristic
600D4×D71—22no—
601D4×D71—22no—
602D4×D71—22no—
603D4×D71—22no—
604D4×D71—22no—
605D4×D71—22no—
606D4×D71—22no—
607D4×D71—22no—
608D4×D71—41no—
609D4×D71—41no—
610D4×D71—41no—
611D4×D71—41no—
612D4×D71—44no—
613D4×D71—44no—
614D4×D71—44no—
615D4×D71—44no—
616D4×D71—44no—
617D4×D71—44no—
618D4×D71—82no—
619D4×D71—82no—
620D4×D71C2×D414yes—
621D4×D71C2×D414yescomplemented
622C22×Dic71—21no—
623C22×Dic71—21no—
624C22×Dic71—21no—
625C22×Dic71—21no—
626C22×Dic71—21no—
627C22×Dic71C2×D411yescharacteristic
628C2×C4×D71—22no—
629C2×C4×D71—22no—
630C2×C4×D71—21no—
631C2×C4×D71—21no—
632C2×C4×D71—21no—
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—44no—
641C2×C4×D71C2×D411yescharacteristic
642C2×C4×D71C2×D411yescharacteristic
643C2×C4×D71C2411yescharacteristic
644C2×C4×D71C2411yescharacteristic
645C2×C4×D71C2411yescharacteristic
646Dic284—41no—
647#11765855—22no—
648#11765855—41no—
649#11765854—22no—
650#11765854—22no—
651#11765854—22no—
652#11765854—22no—
653#11765853—22no—
654#11765853—22no—
655#11765853—22no—
656#11765853—41no—
657#11765852—22no—
658#11765852—22no—
659#11765852—22no—
660#11765852—41no—
661D568—22no—
662D568—22no—
663D568—41no—
664D568C2×D414yescomplemented
665#11765850—22no—
666#11765850—22no—
667#11765850—22no—
668#11765850—22no—
669#11765850—22no—
670#11765850—41no—
671#11765850C2×D414yescomplemented
672#11765850C2×D414yescomplemented
673#11765849—22no—
674#11765848—22no—
675#11765848—22no—
676#11765848—22no—
677#11765848—22no—
678#11765848—22no—
679C2×C71⋊C8—22no—
680C2×C71⋊C8C2411yescharacteristic
681C2×C71⋊C8C2411yescharacteristic
682C2×C71⋊C8C2411yescharacteristic
683C2×C71⋊C8C2411yescharacteristic
684C8×D71—22no—
685C8×D71—22no—
686C8×D71C2×D414yescomplemented
687C4⋊Dic71—21no—
688C4⋊Dic71—21no—
689C4⋊Dic71C2×D411yescharacteristic
690C4⋊Dic71C2411yescharacteristic
691C4⋊Dic71C2411yescharacteristic
692Dic71⋊C4—21no—
693Dic71⋊C4—21no—
694Dic71⋊C4—21no—
695Dic71⋊C4—21no—
696Dic71⋊C4—21no—
697Dic71⋊C4—21no—
698Dic71⋊C4C2×D411yescharacteristic
699Dic71⋊C4C2×D411yescharacteristic
700Dic71⋊C4C2×D411yescharacteristic
701Dic71⋊C4C2×D411yescharacteristic
702C22⋊Dic71—21no—
703C22⋊Dic71—21no—
704C22⋊Dic71—21no—
705C22⋊Dic71—21no—
706C22⋊Dic71—21no—
707C22⋊Dic71—21no—
708C22⋊Dic71—21no—
709C22⋊Dic71—21no—
710C22⋊Dic71C2×D411yescharacteristic
711C22⋊Dic71C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
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
738C4×Dic71—21no—
739C4×Dic71—21no—
740C4×Dic71C2411yescharacteristic
741C24×C71—21no—
742C24×C71—21no—
743#41×C71—22no—
744#41×C71—22no—
745#41×C71—41no—
746#41×C71—41no—
747C2×Q8×C71C2411yescharacteristic
748C2×Q8×C71C2411yescharacteristic
749C2×D4×C71—22no—
750C2×D4×C71—22no—
751C2×D4×C71—21no—
752C2×D4×C71—21no—
753C2×D4×C71—21no—
754C2×D4×C71—21no—
755C2×D4×C71—21no—
756C2×D4×C71—21no—
757C2×D4×C71—21no—
758C2×D4×C71—21no—
759C2×D4×C71—41no—
760C2×D4×C71—41no—
761C2×D4×C71—82no—
762C2×D4×C71C2×D411yescharacteristic
763C2×D4×C71C2411yescharacteristic
764C2×D4×C71C2411yescharacteristic
765C2×D4×C71C2411yescharacteristic
766C2×D4×C71C2411yescharacteristic
767C22×C4×C71—21no—
768C22×C4×C71—21no—
769C22×C4×C71—21no—
770C22×C4×C71—21no—
771C22×C4×C71C2411yescharacteristic
772C22×C4×C71C2411yescharacteristic
773SD16×C71—22no—
774SD16×C71—22no—
775SD16×C71—22no—
776SD16×C71—22no—
777SD16×C71—41no—
778SD16×C71—41no—
779D8×C71—22no—
780D8×C71—22no—
781D8×C71C2×D414yescomplemented
782M16×C71—22no—
783M16×C71—22no—
784C2×C8×C71C2411yescharacteristic
785C2×C8×C71C2411yescharacteristic
786C2×C8×C71C2411yescharacteristic
787C2×C8×C71C2411yescharacteristic
788C4⋊C4×C71—21no—
789C4⋊C4×C71—21no—
790C4⋊C4×C71—21no—
791C4⋊C4×C71—21no—
792C4⋊C4×C71C2×D411yescharacteristic
793C4⋊C4×C71C2411yescharacteristic
794C4⋊C4×C71C2411yescharacteristic
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—21no—
808C23×C71—42no—
809C23×C71—42no—
810C23×C71—42no—
811C23×C71—81no—
812C23×C71—81no—
813C23×C71—81no—
814C23×C71C22×D411yescharacteristic
815C23×C71C22×D411yescharacteristic
816C22×D71—21no—
817C22×D71—21no—
818C22×D71—22no—
819C22×D71—24no—
820C22×D71—24no—
821C22×D71—21no—
822C22×D71—21no—
823C22×D71—41no—
824C22×D71—41no—
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—42no—
834C22×D71—42no—
835C22×D71—81no—
836C22×D71—81no—
837C22×D71—81no—
838C22×D71—81no—
839C22×D71—81no—
840C22×D71—81no—
841C22×D71—81no—
842C22×D71—81no—
843C22×D71—81no—
844C22×D71—81no—
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—
858D4×C71—21no—
859D4×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—42no—
870D4×C71—81no—
871D4×C71—81no—
872D4×C71—81no—
873D4×C71C22×D412yes—
874D4×C71C22×D412yes—
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—21no—
882C2×C4×C71—21no—
883C2×C4×C71—42no—
884C2×C4×C71—42no—
885C2×C4×C71—81no—
886C2×C4×C71—81no—
887C2×C4×C71C22×D411yescharacteristic
888C2×C4×C71C22×D411yescharacteristic
889C2×C4×C71C22×D411yescharacteristic
890C2×C4×C71C22×D411yescharacteristic
891C2×C4×C71C2511yescharacteristic
892C22⋊D71—22no—
893C22⋊D71—24no—
894C22⋊D71—24no—
895C22⋊D71—22no—
896C22⋊D71—41no—
897C22⋊D71—41no—
898C22⋊D71—42no—
899C22⋊D71—42no—
900C22⋊D71—42no—
901C22⋊D71—42no—
902C22⋊D71—42no—
903C22⋊D71—42no—
904C22⋊D71—42no—
905C22⋊D71—42no—
906C22⋊D71—42no—
907C22⋊D71—42no—
908C22⋊D71—42no—
909C22⋊D71—81no—
910C22⋊D71—81no—
911C22⋊D71—81no—
912C22⋊D71—81no—
913C22⋊D71—81no—
914C2×Dic71—22no—
915C2×Dic71—21no—
916C2×Dic71—21no—
917C2×Dic71—21no—
918C2×Dic71—21no—
919C2×Dic71—42no—
920C2×Dic71—42no—
921C2×Dic71—42no—
922C2×Dic71—81no—
923C2×Dic71—81no—
924C2×Dic71C22×D411yescharacteristic
925C2×Dic71C22×D411yescharacteristic
926C2×Dic71C22×D411yescharacteristic
927C2×Dic71C22×D411yescharacteristic
928C2×Dic71C22×D411yescharacteristic
929D284—22no—
930D284—21no—
931D284—21no—
932D284—21no—
933D284—21no—
934D284—21no—
935D284—21no—
936D284—41no—
937D284—42no—
938D284—42no—
939D284—42no—
940D284—42no—
941D284—42no—
942D284—81no—
943D284—81no—
944D284C22×D412yes—
945D284C22×D412yes—
946C4×D71—22no—
947C4×D71—21no—
948C4×D71—21no—
949C4×D71—21no—
950C4×D71—21no—
951C4×D71—22no—
952C4×D71—42no—
953C4×D71—42no—
954C4×D71—42no—
955C4×D71—42no—
956C4×D71—42no—
957C4×D71—42no—
958C4×D71—81no—
959C4×D71—81no—
960C4×D71—81no—
961C4×D71—81no—
962C4×D71C22×D412yes—
963C4×D71H(5,𝔽2)12yes—
964Dic142—22no—
965Dic142—21no—
966Dic142—21no—
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—22no—
985C22×C71—21no—
986C22×C71—41no—
987C22×C71—41no—
988C22×C71—41no—
989C22×C71—41no—
990C22×C71—41no—
991C22×C71—41no—
992C22×C71—41no—
993C22×C71—41no—
994C22×C71—41no—
995C22×C71—41no—
996C22×C71—84no—
997C22×C71—162no—
998C22×C71C23×D411yescharacteristic
999C2×D71—21no—
1000C2×D71—21no—
1001C2×D71—21no—
1002C2×D71—21no—
1003C2×D71—21no—
1004C2×D71—21no—
1005C2×D71—21no—
1006C2×D71—21no—
1007C2×D71—22no—
1008C2×D71—22no—
1009C2×D71—44no—
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—41no—
1020C2×D71—84no—
1021C2×D71—84no—
1022C2×D71—84no—
1023C2×D71—84no—
1024C2×D71—84no—
1025C2×D71—84no—
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×C71C23×D411yescharacteristic
1039C4×C71C2×H(5,𝔽2)11yescharacteristic
1040Dic71—21no—
1041Dic71—21no—
1042Dic71—21no—
1043Dic71—21no—
1044Dic71—41no—
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×C71—81no—
1056C2×C71C2×D4211yescharacteristic
1057C2×C71#358511yescharacteristic
1058C2×C71#358511yescharacteristic
1059D71—22no—
1060D71—41no—
1061D71—41no—
1062D71—42no—
1063D71—42no—
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#3272D7111yescharacteristic, complemented
1078#3267—711no—
1079#3267—711no—
1080#3267—711no—
1081#3267—711no—
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)—1428no—
1118C2×AGL(1,ℤ/8)C2×D7111yescharacteristic, complemented
1119C2×AGL(1,ℤ/8)C2×D7111yescharacteristic, complemented
1120C2×#135—711no—
1121C2×#135—711no—
1122C2×#135—711no—
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—711no—
1145#546—1421no—
1146#546—1421no—
1147#546—1421no—
1148#546—1421no—
1149D42—711no—
1150D42—711no—
1151D42—711no—
1152D42—1421no—
1153D42—1421no—
1154D42C2×D7111yescharacteristic, complemented
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#497—711no—
1174#496—711no—
1175#496—711no—
1176#495—711no—
1177#495—711no—
1178#492—711no—
1179#492C2×D7111yescharacteristic, complemented
1180#470—711no—
1181#470—711no—
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#468C2×D7111yescharacteristic, complemented
1191#468C2×D7111yescharacteristic, complemented
1192#465—711no—
1193#465—711no—
1194#465—711no—
1195#465—711no—
1196#463—711no—
1197#463—711no—
1198#463—711no—
1199#463—711no—
1200#463—711no—
1201#463—711no—
1202#463—711no—
1203#463—711no—
1204#461—711no—
1205#461—711no—
1206#461—711no—
1207#461C2×D7111yescharacteristic, complemented
1208#459—711no—
1209#459—711no—
1210#459—711no—
1211#459C2×D7111yescharacteristic, complemented
1212#452—711no—
1213#452—711no—
1214#452—711no—
1215#452—711no—
1216#452—711no—
1217#452—711no—
1218#452—711no—
1219#452—711no—
1220#450—711no—
1221#450—711no—
1222#450—711no—
1223#450—711no—
1224#450—711no—
1225#450—711no—
1226#450C2×D7111yescharacteristic, complemented
1227#450C2×D7111yescharacteristic, complemented
1228#449—711no—
1229#449—711no—
1230#449—711no—
1231#449—711no—
1232#449—711no—
1233#449—711no—
1234#449C2×D7111yescharacteristic, complemented
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#442—711no—
1248C4×D8—711no—
1249C4×D8—711no—
1250C4×D8—711no—
1251C4×D8C2×D7111yescharacteristic, complemented
1252#436—711no—
1253#436—711no—
1254#436—711no—
1255#436C2×D7111yescharacteristic, complemented
1256#435—711no—
1257#435—711no—
1258#435—711no—
1259#435—711no—
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—711no—
1286C2×#41—1421no—
1287C2×#41—1421no—
1288C2×#41—1424no—
1289C2×#41—1421no—
1290C2×#41—1421no—
1291C2×#41C22×D7111yescharacteristic
1292C2×#41C22×D7111yescharacteristic, complemented
1293C22×Q8—711no—
1294C22×D4—21no—
1295C22×D4—2842no—
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—1424no—
1314C22×D4—1421no—
1315C22×D4—1421no—
1316C22×D4—1421no—
1317C22×D4—1421no—
1318C22×D4—1421no—
1319C22×D4C22×D7111yescharacteristic
1320C22×D4C22×D7111yescharacteristic
1321C23×C4—711no—
1322C23×C4—1421no—
1323#137—2842no—
1324AGL(1,ℤ/8)—24no—
1325AGL(1,ℤ/8)—24no—
1326AGL(1,ℤ/8)—2842no—
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—1424no—
1340#135—1424no—
1341#135—1424no—
1342C2×Q16—711no—
1343C2×Q16—711no—
1344C2×Q16—711no—
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—1424no—
1358C2×SD16—1424no—
1359C2×SD16C22×D7111yescharacteristic
1360C2×SD16C22×D7111yescharacteristic
1361C2×SD16C22×D7111yescharacteristic
1362C2×SD16C22×D7111yescharacteristic
1363C2×SD16C22×D7111yescharacteristic, complemented
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—1424no—
1379C2×D8—1424no—
1380C2×D8—1424no—
1381C2×D8C22×D7111yescharacteristic
1382C2×D8C22×D7111yescharacteristic
1383C2×D8C22×D7111yescharacteristic, complemented
1384#131—1424no—
1385C2×M16—711no—
1386C2×M16—711no—
1387C2×M16—711no—
1388C2×M16—711no—
1389C2×M16—711no—
1390C2×M16—711no—
1391C2×M16—1424no—
1392C2×M16C22×D7111yescharacteristic
1393C2×M16C22×D7111yescharacteristic, complemented
1394C22×C8—711no—
1395C22×C8—711no—
1396C22×C8—711no—
1397C22×C8—711no—
1398C4⋊Q8—711no—
1399C4⋊Q8—1421no—
1400C4⋊Q8C22×D7111yescharacteristic, complemented
1401#127—711no—
1402#127—1421no—
1403#127C22×D7111yescharacteristic
1404#124—711no—
1405#124—711no—
1406#124—711no—
1407#124—711no—
1408#124—1421no—
1409#124—1421no—
1410#123—21no—
1411#123—21no—
1412#123—711no—
1413#123—711no—
1414#123—1421no—
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—711no—
1442C22⋊Q8—1421no—
1443C22⋊Q8—1421no—
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—1421no—
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#121C22×D7111yescharacteristic
1473#121C22×D7111yescharacteristic
1474#120—21no—
1475#120—21no—
1476#120—711no—
1477#120—711no—
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—1421no—
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#107C22×D7111yescharacteristic, complemented
1539#106—711no—
1540#106—711no—
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#103—711no—
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#102C22×D7111yescharacteristic
1566#102C22×D7111yescharacteristic
1567#102C22×D7111yescharacteristic, complemented
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#97—711no—
1579C4×C8—711no—
1580C4×C8C22×D7111yescharacteristic, complemented
1581C24—21no—
1582C24—21no—
1583C24—2844no—
1584C24—5682no—
1585C24—5682no—
1586C24—711no—
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—41no—
1599#41—41no—
1600#41—2841no—
1601#41—2841no—
1602#41—2844no—
1603#41—2844no—
1604#41—2844no—
1605#41—2841no—
1606#41—2841no—
1607#41—2844no—
1608#41—2841no—
1609#41—2841no—
1610#41—1422no—
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—711no—
1625C2×Q8—1421no—
1626C2×Q8—1422no—
1627C2×Q8—1422no—
1628C2×Q8C23×D7111yescharacteristic
1629C2×Q8C23×D7111yescharacteristic
1630C2×D4—22no—
1631C2×D4—22no—
1632C2×D4—21no—
1633C2×D4—21no—
1634C2×D4—21no—
1635C2×D4—21no—
1636C2×D4—21no—
1637C2×D4—21no—
1638C2×D4—21no—
1639C2×D4—21no—
1640C2×D4—41no—
1641C2×D4—41no—
1642C2×D4—82no—
1643C2×D4—2841no—
1644C2×D4—2841no—
1645C2×D4—2844no—
1646C2×D4—2844no—
1647C2×D4—2844no—
1648C2×D4—2844no—
1649C2×D4—2844no—
1650C2×D4—2844no—
1651C2×D4—2844no—
1652C2×D4—2841no—
1653C2×D4—2841no—
1654C2×D4—2841no—
1655C2×D4—2841no—
1656C2×D4—2844no—
1657C2×D4—2844no—
1658C2×D4—2844no—
1659C2×D4—5682no—
1660C2×D4—5682no—
1661C2×D4—5682no—
1662C2×D4—711no—
1663C2×D4—711no—
1664C2×D4—714no—
1665C2×D4—714no—
1666C2×D4—711no—
1667C2×D4—711no—
1668C2×D4—711no—
1669C2×D4—711no—
1670C2×D4—711no—
1671C2×D4—711no—
1672C2×D4—711no—
1673C2×D4—711no—
1674C2×D4—1421no—
1675C2×D4—1421no—
1676C2×D4—1421no—
1677C2×D4—1422no—
1678C2×D4—1422no—
1679C2×D4—1421no—
1680C2×D4—1421no—
1681C2×D4—1422no—
1682C2×D4—1422no—
1683C2×D4—1422no—
1684C2×D4—1422no—
1685C2×D4—1421no—
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—1422no—
1695C2×D4—1422no—
1696C2×D4—1421no—
1697C2×D4—1421no—
1698C2×D4—1421no—
1699C2×D4—1421no—
1700C2×D4—1421no—
1701C2×D4—1421no—
1702C2×D4—1422no—
1703C2×D4—1422no—
1704C2×D4—1421no—
1705C2×D4—1421no—
1706C2×D4—1421no—
1707C2×D4—1421no—
1708C2×D4—1421no—
1709C2×D4D4×D7111yescharacteristic
1710C2×D4C23×D7111yescharacteristic
1711C2×D4C23×D7111yescharacteristic
1712C2×D4C23×D7111yescharacteristic
1713C2×D4C23×D7111yescharacteristic
1714C22×C4—21no—
1715C22×C4—21no—
1716C22×C4—21no—
1717C22×C4—21no—
1718C22×C4—2844no—
1719C22×C4—711no—
1720C22×C4—711no—
1721C22×C4—711no—
1722C22×C4—711no—
1723C22×C4—711no—
1724C22×C4—711no—
1725C22×C4—1421no—
1726C22×C4—1421no—
1727C22×C4—1421no—
1728C22×C4—1421no—
1729C22×C4—1421no—
1730C22×C4—1421no—
1731C22×C4—1422no—
1732C22×C4—1422no—
1733C22×C4—1421no—
1734C22×C4—1421no—
1735C22×C4—1421no—
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—2841no—
1745Q16—2841no—
1746Q16—1422no—
1747SD16—22no—
1748SD16—22no—
1749SD16—22no—
1750SD16—22no—
1751SD16—41no—
1752SD16—41no—
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—22no—
1767D8—2841no—
1768D8—2841no—
1769D8—714no—
1770D8—714no—
1771D8—714no—
1772D8—1422no—
1773D8—1422no—
1774D8—1422no—
1775D8—1422no—
1776D8—1422no—
1777D8—1422no—
1778D8—1422no—
1779D8D4×D7114yescomplemented
1780M16—22no—
1781M16—22no—
1782M16—1422no—
1783M16—1422no—
1784M16—1422no—
1785M16—1422no—
1786M16—1422no—
1787M16—1422no—
1788C2×C8—711no—
1789C2×C8—714no—
1790C2×C8—711no—
1791C2×C8—711no—
1792C2×C8—711no—
1793C2×C8—1422no—
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—711no—
1805C4⋊C4—711no—
1806C4⋊C4—711no—
1807C4⋊C4—711no—
1808C4⋊C4—711no—
1809C4⋊C4—711no—
1810C4⋊C4—711no—
1811C4⋊C4—1421no—
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—711no—
1829C22⋊C4—711no—
1830C22⋊C4—711no—
1831C22⋊C4—711no—
1832C22⋊C4—711no—
1833C22⋊C4—711no—
1834C22⋊C4—711no—
1835C22⋊C4—711no—
1836C22⋊C4—1421no—
1837C22⋊C4—1421no—
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—21no—
1874C23—42no—
1875C23—42no—
1876C23—42no—
1877C23—81no—
1878C23—81no—
1879C23—81no—
1880C23—2841no—
1881C23—2841no—
1882C23—2842no—
1883C23—2842no—
1884C23—2842no—
1885C23—2842no—
1886C23—2842no—
1887C23—2842no—
1888C23—2842no—
1889C23—2842no—
1890C23—2842no—
1891C23—2842no—
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—5681no—
1907C23—56816no—
1908C23—711no—
1909C23—711no—
1910C23—711no—
1911C23—1422no—
1912C23—1424no—
1913C23—1424no—
1914C23—1421no—
1915C23—1421no—
1916C23—1421no—
1917C23—1421no—
1918C23C2×D4×D7111yescharacteristic
1919C23C2×D4×D7111yescharacteristic
1920Q8—21no—
1921Q8—21no—
1922Q8—21no—
1923Q8—21no—
1924Q8—2842no—
1925Q8—1422no—
1926Q8—1421no—
1927Q8—1421no—
1928Q8—1421no—
1929Q8—1421no—
1930D4—21no—
1931D4—21no—
1932D4—21no—
1933D4—21no—
1934D4—21no—
1935D4—21no—
1936D4—41no—
1937D4—42no—
1938D4—42no—
1939D4—42no—
1940D4—42no—
1941D4—42no—
1942D4—81no—
1943D4—81no—
1944D4—81no—
1945D4—2842no—
1946D4—2842no—
1947D4—2841no—
1948D4—2842no—
1949D4—2842no—
1950D4—2842no—
1951D4—2842no—
1952D4—2842no—
1953D4—2842no—
1954D4—2842no—
1955D4—2842no—
1956D4—2842no—
1957D4—2842no—
1958D4—2842no—
1959D4—2842no—
1960D4—2841no—
1961D4—2841no—
1962D4—2842no—
1963D4—2842no—
1964D4—5681no—
1965D4—5681no—
1966D4—5681no—
1967D4—5681no—
1968D4—5681no—
1969D4—5681no—
1970D4—5681no—
1971D4—712no—
1972D4—712no—
1973D4—1422no—
1974D4—1422no—
1975D4—1424no—
1976D4—1424no—
1977D4—1422no—
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—42no—
1995C2×C4—42no—
1996C2×C4—81no—
1997C2×C4—81no—
1998C2×C4—2842no—
1999C2×C4—2842no—
2000C2×C4—2842no—
2001C2×C4—2842no—
2002C2×C4—2842no—
2003C2×C4—2842no—
2004C2×C4—2842no—
2005C2×C4—2842no—
2006C2×C4—2842no—
2007C2×C4—5681no—
2008C2×C4—5681no—
2009C2×C4—5681no—
2010C2×C4—5681no—
2011C2×C4—5681no—
2012C2×C4—5681no—
2013C2×C4—711no—
2014C2×C4—712no—
2015C2×C4—712no—
2016C2×C4—711no—
2017C2×C4—711no—
2018C2×C4—711no—
2019C2×C4—711no—
2020C2×C4—1422no—
2021C2×C4—1422no—
2022C2×C4—1421no—
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—41no—
2060C22—41no—
2061C22—41no—
2062C22—84no—
2063C22—162no—
2064C22—2844no—
2065C22—2841no—
2066C22—2841no—
2067C22—2841no—
2068C22—2841no—
2069C22—2841no—
2070C22—2841no—
2071C22—2841no—
2072C22—2841no—
2073C22—2841no—
2074C22—2841no—
2075C22—5684no—
2076C22—5684no—
2077C22—5684no—
2078C22—5684no—
2079C22—5684no—
2080C22—5684no—
2081C22—712no—
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—2841no—
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—81no—
2121C2—2841no—
2122C2—2842no—
2123C2—2842no—
2124C2—2841no—
2125C2—5681no—
2126C2—5681no—
2127C2—1422no—
2128C2D42×D7111yescharacteristic
2129C2#2260311611yescharacteristic
2130C2#2260311811yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3272C2
socleC22×C71C23×D4
hypercenter#3272D71
hypocenterC71#61058
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3272

Complements

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

NH ≅ G/Ntype
1. C2×#17986803C2semidirect
2. C2×AGL(1,ℤ/8)×D71C2semidirect
3. #22601979C2semidirect
4. #22601968C2semidirect
5. #22599952C2semidirect
6. #22599950C2semidirect
7. #22599948C2semidirect
8. #22599945C2semidirect
9. #22599939C2semidirect
10. #22599937C2semidirect
11. #22599934C2semidirect
12. #22599871C2semidirect
13. #22599866C2semidirect
14. #22599863C2semidirect
15. #22599858C2semidirect
16. #22599824C2semidirect
17. #22599823C2semidirect
18. #22599816C2semidirect
19. #22599815C2semidirect
20. #22598809C2semidirect
21. #22597977C2semidirect
22. #22597944C2semidirect
23. #22597847C2semidirect
24. #22597838C2semidirect
25. #22597612C2semidirect
26. #22597605C2semidirect
27. #22597578C2semidirect
28. #22597568C2semidirect
29. #22597187C2semidirect
30. #22597040C2semidirect
31. C71×#3272C2semidirect
32. C2×#14556174C22semidirect
34. C2×#41×D71C22semidirect
35. C22×D4×D71C22semidirect
37. C2×#14556157C22semidirect
38. C2×#14556156C22semidirect
39. C2×#14556156C22semidirect
41. C2×#14556155C22semidirect
42. C2×#14556155C22semidirect
43. C2×#14556155C22semidirect
44. C2×#14556155C22semidirect
45. C2×#14556154C22semidirect
46. C2×#14556153C22semidirect
47. C2×#14556152C22semidirect
48. C2×#14556152C22semidirect
49. C2×#14556152C22semidirect
50. C2×#14556152C22semidirect
52. C2×#14556149C22semidirect
53. C2×#14556149C22semidirect
54. C2×#14556148C22semidirect
55. C2×SD16×D71C22semidirect
56. C2×SD16×D71C22semidirect
57. C22×#11765850C22semidirect
59. C2×D8×D71C22semidirect
60. C2×D8×D71C22semidirect
61. C2×#14556136C22semidirect
62. C2×M16×D71C22semidirect
63. #17986652C22semidirect
64. #17986651C22semidirect
66. #17986648C22semidirect
68. #17986646C22semidirect
69. #17986645C22semidirect
70. #17986645C22semidirect
71. #17986644C22semidirect
72. #17986644C22semidirect
73. #17986643C22semidirect
75. #17986640C22semidirect
78. #17986637C22semidirect
80. #17986634C22semidirect
81. #17986633C22semidirect
83. D4×C22⋊D71C22semidirect
85. #17986574C22semidirect
86. #17986572C22semidirect
88. #17986562C22semidirect
93. #17986512C22semidirect
94. #17986509C22semidirect
100. #17986471C22semidirect
101. #17986471C22semidirect
102. #17986391C22semidirect
103. #17986390C22semidirect
104. #17986386C22semidirect
105. #17986385C22semidirect
106. #17986383C22semidirect
107. #17986380C22semidirect
108. #17986370C22semidirect
109. #17986256C22semidirect
110. #17986255C22semidirect
111. #17986251C22semidirect
112. #17986250C22semidirect
113. #17986246C22semidirect
114. #17986246C22semidirect
115. #17986245C22semidirect
116. #17986245C22semidirect
117. #17986242C22semidirect
118. #17986242C22semidirect
119. #17986231C22semidirect
120. #17986230C22semidirect
121. #17986227C22semidirect
122. #17986226C22semidirect
123. #17986217C22semidirect
124. #17986216C22semidirect
125. #17986215C22semidirect
126. #17986215C22semidirect
127. #17986214C22semidirect
128. #17986214C22semidirect
129. #17986213C22semidirect
130. #17986212C22semidirect
131. #17986203C22semidirect
132. #17986202C22semidirect
133. #17986201C22semidirect
134. #17986193C22semidirect
135. #17986192C22semidirect
136. #17986191C22semidirect
137. #17986164C22semidirect
138. #17986163C22semidirect
139. #17986163C22semidirect
140. #17986162C22semidirect
141. #17986162C22semidirect
142. #17986161C22semidirect
143. #17986159C22semidirect
144. #17986158C22semidirect
145. #17986151C22semidirect
146. #17986150C22semidirect
147. #17986149C22semidirect
148. #17986148C22semidirect
149. #17986148C22semidirect
150. #17986148C22semidirect
151. #17986147C22semidirect
152. #17986144C22semidirect
153. #17986143C22semidirect
154. #17986143C22semidirect
155. #17986142C22semidirect
156. #17986141C22semidirect
157. #17986135C22semidirect
158. #17986135C22semidirect
159. #17986134C22semidirect
160. #17986134C22semidirect
161. #17986134C22semidirect
162. #17986133C22semidirect
163. #17986132C22semidirect
164. #17986131C22semidirect
165. #17986109C22semidirect
166. #17986109C22semidirect
167. #17986108C22semidirect
168. #17986108C22semidirect
169. C4×D568C22semidirect
170. D8×Dic71C22semidirect
171. #17986081C22semidirect
172. #17986078C22semidirect
173. #17986075C22semidirect
174. #17986075C22semidirect
175. #17986073C22semidirect
176. #17986071C22semidirect
177. #17986069C22semidirect
178. #17986067C22semidirect
179. #17986036C22semidirect
180. #17986024C22semidirect
181. #17986006C22semidirect
182. #17986002C22semidirect
183. #17986002C22semidirect
184. #17986002C22semidirect
185. #17985994C22semidirect
186. #17985992C22semidirect
187. #17985964C22semidirect
188. #17985961C22semidirect
189. #17985953C22semidirect
190. C2×AGL(1,ℤ/8)×C71C22semidirect
191. C2×AGL(1,ℤ/8)×C71C22semidirect
192. #547×C71C22semidirect
193. D42×C71C22semidirect
194. #492×C71C22semidirect
195. #468×C71C22semidirect
196. #468×C71C22semidirect
197. #461×C71C22semidirect
198. #459×C71C22semidirect
199. #450×C71C22semidirect
200. #450×C71C22semidirect
201. #449×C71C22semidirect
202. #449×C71C22semidirect
203. C4×D8×C71C22semidirect
204. #436×C71C22semidirect
212. C2×#11765866C23semidirect
228. C22×D284C23semidirect
249. C2×D4×D71C23semidirect
269. C2×Dic284C23semidirect
270. C2×#11765855C23semidirect
271. C2×#11765855C23semidirect
274. C2×#11765854C23semidirect
275. C2×#11765854C23semidirect
278. C2×#11765853C23semidirect
279. C2×#11765853C23semidirect
297. C2×#11765850C23semidirect
298. C2×#11765850C23semidirect
301. D8×D71D4semidirect
308. C2×#11765848C23semidirect
310. C22×C71⋊C8C23semidirect
313. C2×C8×D71C23semidirect
315. #14556126C23semidirect
318. #14556117C23semidirect
320. #14556116C23semidirect
347. #14556108C23semidirect
349. #14556107C23semidirect
355. #14556104C23semidirect
404. C4×D284C23semidirect
407. D4×Dic71C23semidirect
410. #14556090C23semidirect
437. #14556062C23semidirect
438. #14556059C23semidirect
439. #14556059C23semidirect
440. C4⋊(C71⋊C8)C23semidirect
441. Dic71⋊C8C23semidirect
442. Dic71⋊C8C23semidirect
443. #14556053C23semidirect
444. #14556053C23semidirect
445. #14556052C23semidirect
446. #14556052C23semidirect
447. #14556051C23semidirect
448. #14556051C23semidirect
451. #14556050C23semidirect
452. #14556050C23semidirect
455. #14556049C23semidirect
456. #14556049C23semidirect
459. #14556048C23semidirect
460. #14556048C23semidirect
462. C22⋊(C71⋊C8)C23semidirect
465. (C2×D71)⋊C8C23semidirect
466. (C2×D71)⋊C8C23semidirect
467. #14556039C23semidirect
468. #14556038C23semidirect
469. C8×Dic71C23semidirect
471. C2×#41×C71C23semidirect
481. C2×SD16×C71C23semidirect
482. C2×SD16×C71C23semidirect
485. C2×D8×C71C23semidirect
487. C2×M16×C71C23semidirect
488. C4⋊Q8×C71C23semidirect
493. C22⋊Q8×C71C23semidirect
502. C4×D4×C71C23semidirect
504. #107×C71C23semidirect
505. C4⋊C8×C71C23semidirect
506. #103×C71C23semidirect
507. #103×C71C23semidirect
510. #102×C71C23semidirect
511. #102×C71C23semidirect
513. C22⋊C8×C71C23semidirect
514. C4×C8×C71C23semidirect
621. D4×D71C2×D4semidirect
664. D568C2×D4semidirect
671. #11765850C2×D4semidirect
672. #11765850C2×D4semidirect
686. C8×D71C2×D4semidirect
781. D8×C71C2×D4semidirect
1077. #3272D71semidirect
1097. C71#61058semidirect
1118. C2×AGL(1,ℤ/8)C2×D71semidirect
1119. C2×AGL(1,ℤ/8)C2×D71semidirect
1136. #547C2×D71semidirect
1154. D42C2×D71semidirect
1179. #492C2×D71semidirect
1190. #468C2×D71semidirect
1191. #468C2×D71semidirect
1207. #461C2×D71semidirect
1211. #459C2×D71semidirect
1226. #450C2×D71semidirect
1227. #450C2×D71semidirect
1234. #449C2×D71semidirect
1235. #449C2×D71semidirect
1251. C4×D8C2×D71semidirect
1255. #436C2×D71semidirect
1292. C2×#41C22×D71semidirect
1363. C2×SD16C22×D71semidirect
1364. C2×SD16C22×D71semidirect
1383. C2×D8C22×D71semidirect
1393. C2×M16C22×D71semidirect
1400. C4⋊Q8C22×D71semidirect
1445. C22⋊Q8C22×D71semidirect
1517. C4×D4C22×D71semidirect
1538. #107C22×D71semidirect
1544. C4⋊C8C22×D71semidirect
1551. #103C22×D71semidirect
1552. #103C22×D71semidirect
1567. #102C22×D71semidirect
1568. #102C22×D71semidirect
1576. C22⋊C8C22×D71semidirect
1580. C4×C8C22×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×#179868032
C2×AGL(1,ℤ/8)×D712
#226019792
#226019682
#225999522
#225999502
#225999482
#225999452
#225999392
#225999372
#225999342
#225998712
#225998662
#225998632
#225998582
#225998242
#225998232
#225998162
#225998152
#225988092
#225979772
#225979442
#225978472
#225978382
#225976122
#225976052
#225975782
#225975682
#225971872
#225970402
C71×#32722
#6105871