Finite Group Databasebeta

← #32883012

Subgroups — #32883012

Order 18176.

2290 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602659C211yesmaximal, characteristic, complemented
2#22601970C211yesmaximal, characteristic, complemented
3#22600578C211yesmaximal, characteristic, complemented
4#22600499C211yesmaximal, characteristic, complemented
5#22600475C211yesmaximal, characteristic, complemented
6#22600358C211yesmaximal, characteristic, complemented
7#22600302C211yesmaximal, characteristic, complemented
8#22600174C211yesmaximal, characteristic, complemented
9#22600151C211yesmaximal, characteristic, complemented
10#22600023C211yesmaximal, characteristic, complemented
11D8×D284C211yesmaximal, characteristic, complemented
12#22599962C211yesmaximal, characteristic, complemented
13#22599948C211yesmaximal, characteristic, complemented
14#22599876C211yesmaximal, characteristic, complemented
15#22599827C211yesmaximal, characteristic, complemented
16#22599826C211yesmaximal, characteristic, complemented
17#22599818C211yesmaximal, characteristic, complemented
18#22599433C211yesmaximal, characteristic, complemented
19#22599393C211yesmaximal, characteristic, complemented
20#22599202C211yesmaximal, characteristic, complemented
21#22599199C211yesmaximal, characteristic, complemented
22#22599155C211yesmaximal, characteristic, complemented
23#22599135C211yesmaximal, characteristic, complemented
24#22598585C211yesmaximal, characteristic, complemented
25#22598520C211yesmaximal, characteristic, complemented
26#22597646C211yesmaximal, characteristic, complemented
27#22597605C211yesmaximal, characteristic, complemented
28#22597569C211yesmaximal, characteristic, complemented
29#447×D71C211yesmaximal, characteristic, complemented
30#22597384C211yesmaximal, characteristic, complemented
31C71×#3322C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic, complemented
33C22×D4×D71C2211yescharacteristic, complemented
34C2×#14556156C2211yescharacteristic, complemented
35C2×#14556156C2211yescharacteristic, complemented
36C2×#14556155C2211yescharacteristic, complemented
37C2×#14556154C2211yescharacteristic, complemented
38C2×#14556148C2211yescharacteristic, complemented
39C2×D8×D71C2211yescharacteristic, complemented
40C2×D8×D71C2211yescharacteristic, complemented
41C2×D8×D71C2211yescharacteristic, complemented
42#17986746—21no—
43#17986737—21no—
44#17986712C2211yescharacteristic, complemented
45#17986687C2211yescharacteristic, complemented
46#17986674—21no—
47#17986670C2211yescharacteristic, complemented
48#17986650C2211yescharacteristic, complemented
49#17986646C2211yescharacteristic, complemented
50#17986646C2211yescharacteristic, complemented
51#17986645—21no—
52#17986642C2211yescharacteristic
53#17986641—21no—
54#17986640C2211yescharacteristic, complemented
55#17986639—21no—
56#17986637C2211yescharacteristic, complemented
57D4×D284C2211yescharacteristic
58D4×D284C2211yescharacteristic, complemented
59D4×D284C2211yescharacteristic, complemented
60#17986633—21no—
61#17986633C2211yescharacteristic, complemented
62D4×C22⋊D71C2211yescharacteristic, complemented
63#17986631—21no—
64#17986614C2211yescharacteristic, complemented
65#17986605C2211yescharacteristic, complemented
66#17986600—21no—
67#17986588—21no—
68#17986580C2211yescharacteristic, complemented
69#17986567C2211yescharacteristic, complemented
70#17986565—21no—
71#17986565C2211yescharacteristic, complemented
72#17986565C2211yescharacteristic, complemented
73#17986560—21no—
74#17986560—21no—
75#17986557—21no—
76#17986512C2211yescharacteristic, complemented
77#17986511C2211yescharacteristic, complemented
78#17986508C2211yescharacteristic
79#121×D71C2211yescharacteristic, complemented
80C2×#14556098—21no—
81#120×D71—21no—
82#17986471C2211yescharacteristic, complemented
83#17986389C2211yescharacteristic, complemented
84#17986387C2211yescharacteristic, complemented
85#17986380C2211yescharacteristic, complemented
86#17986376C2211yescharacteristic, complemented
87#17986365C2211yescharacteristic, complemented
88#17986360C2211yescharacteristic, complemented
89#17986344C2211yescharacteristic, complemented
90#17986342C2211yescharacteristic, complemented
91#17986328C2211yescharacteristic, complemented
92#17986326C2211yescharacteristic, complemented
93#17986325C2211yescharacteristic, complemented
94#17986325C2211yescharacteristic, complemented
95#17986323C2211yescharacteristic, complemented
96#17986322C2211yescharacteristic, complemented
97#17986322C2211yescharacteristic, complemented
98#17986317C2211yescharacteristic, complemented
99#17986314C2211yescharacteristic, complemented
100#17986296C2211yescharacteristic, complemented
101#17986287C2211yescharacteristic, complemented
102#17986278C2211yescharacteristic, complemented
103#17986252C2211yescharacteristic, complemented
104#17986252C2211yescharacteristic, complemented
105#17986251C2211yescharacteristic, complemented
106#17986250C2211yescharacteristic, complemented
107#17986247C2211yescharacteristic, complemented
108#17986246C2211yescharacteristic, complemented
109#17986239C2211yescharacteristic, complemented
110#17986236C2211yescharacteristic, complemented
111#17986236C2211yescharacteristic, complemented
112#17986233C2211yescharacteristic, complemented
113#17986233C2211yescharacteristic, complemented
114#17986231C2211yescharacteristic, complemented
115#17986229C2211yescharacteristic, complemented
116#17986227C2211yescharacteristic, complemented
117#17986218C2211yescharacteristic, complemented
118#17986217C2211yescharacteristic, complemented
119#17986217C2211yescharacteristic, complemented
120#17986213C2211yescharacteristic, complemented
121#17986212C2211yescharacteristic, complemented
122#17986200C2211yescharacteristic, complemented
123#17986195C2211yescharacteristic, complemented
124#17986194C2211yescharacteristic, complemented
125#17986194C2211yescharacteristic, complemented
126#17986193C2211yescharacteristic, complemented
127#17986193C2211yescharacteristic, complemented
128#17986164C2211yescharacteristic, complemented
129#17986164C2211yescharacteristic, complemented
130#17986159C2211yescharacteristic, complemented
131#17986151C2211yescharacteristic, complemented
132#17986151C2211yescharacteristic, complemented
133#17986151C2211yescharacteristic, complemented
134#17986151C2211yescharacteristic, complemented
135#17986151C2211yescharacteristic, complemented
136#17986148C2211yescharacteristic, complemented
137#17986147C2211yescharacteristic, complemented
138#17986147C2211yescharacteristic, complemented
139#17986147C2211yescharacteristic, complemented
140#17986146C2211yescharacteristic, complemented
141#17986146C2211yescharacteristic, complemented
142#17986144C2211yescharacteristic, complemented
143#17986143C2211yescharacteristic, complemented
144#17986142C2211yescharacteristic, complemented
145#17986135C2211yescharacteristic, complemented
146#17986135C2211yescharacteristic, complemented
147#17986134C2211yescharacteristic, complemented
148#17986134C2211yescharacteristic, complemented
149#17986134C2211yescharacteristic, complemented
150#17986134C2211yescharacteristic, complemented
151#17986134C2211yescharacteristic, complemented
152#17986134C2211yescharacteristic, complemented
153#17986134C2211yescharacteristic, complemented
154#17986134C2211yescharacteristic, complemented
155#17986134C2211yescharacteristic, complemented
156#17986133C2211yescharacteristic, complemented
157#17986132C2211yescharacteristic, complemented
158#17986132C2211yescharacteristic, complemented
159#17986131C2211yescharacteristic
160#17986131C2211yescharacteristic, complemented
161#17986131C2211yescharacteristic, complemented
162#17986110C2211yescharacteristic, complemented
163#17986109C2211yescharacteristic, complemented
164#17986108C2211yescharacteristic, complemented
165#17986099C2211yescharacteristic, complemented
166C4×#11765854C2211yescharacteristic, complemented
167#17986081C2211yescharacteristic, complemented
168#17986079C2211yescharacteristic, complemented
169#17986075C2211yescharacteristic, complemented
170#17986073C2211yescharacteristic, complemented
171#17986071C2211yescharacteristic, complemented
172#17986069C2211yescharacteristic, complemented
173#17986068C2211yescharacteristic, complemented
174C8×D284C2211yescharacteristic, complemented
175(C22⋊D71)⋊C8C2211yescharacteristic, complemented
176#17986059C2211yescharacteristic, complemented
177#17986058C2211yescharacteristic, complemented
178#17986003C2211yescharacteristic, complemented
179#17986002C2211yescharacteristic, complemented
180#17985994C2211yescharacteristic, complemented
181C2×#14556048C2211yescharacteristic, complemented
182#102×D71C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#17985967C2211yescharacteristic, complemented
185#17985964C2211yescharacteristic, complemented
186#17985962C2211yescharacteristic, complemented
187C22⋊C8×D71C2211yescharacteristic, complemented
188#553×C71C2211yescharacteristic, complemented
189#546×C71C2211yescharacteristic, complemented
190#488×C71C2211yescharacteristic, complemented
191#485×C71C2211yescharacteristic, complemented
192#480×C71C2211yescharacteristic, complemented
193#478×C71C2211yescharacteristic, complemented
194#469×C71C2211yescharacteristic, complemented
195#468×C71C2211yescharacteristic, complemented
196#463×C71C2211yescharacteristic, complemented
197#449×C71C2211yescharacteristic, complemented
198#447×C71C2211yescharacteristic, complemented
199C4×D8×C71C2211yescharacteristic, complemented
200#436×C71C2211yescharacteristic, complemented
201#418×C71C2211yescharacteristic, complemented
202#417×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204#14556174—42no—
205#14556174—42no—
206C2×#11765866C2311yescharacteristic
207C2×#11765866C2311yescharacteristic
208C2×#11765865—21no—
209C2×#11765865—21no—
210C2×#11765865C2311yescharacteristic
211C2×#11765865C2311yescharacteristic
212C2×#11765865C2311yescharacteristic, complemented
213C22×D284—21no—
214C22×D284—21no—
215C22×D284—21no—
216C22×D284C2311yescharacteristic
217C22×D284C2311yescharacteristic
218C22×C22⋊D71—21no—
219C22×C22⋊D71—21no—
220C2×D4×D71—21no—
221C2×D4×D71—21no—
222C2×D4×D71—21no—
223C2×D4×D71—21no—
224C2×D4×D71—21no—
225C2×D4×D71—21no—
226C2×D4×D71—21no—
227C2×D4×D71—42no—
228C2×D4×D71—42no—
229C2×D4×D71C2311yescharacteristic
230C2×D4×D71C2311yescharacteristic
231C2×D4×D71C2311yescharacteristic
232C2×D4×D71C2311yescharacteristic
233C2×D4×D71C2311yescharacteristic
234C2×D4×D71C2311yescharacteristic
235C2×D4×D71C2311yescharacteristic, complemented
236C22×C4×D71C2311yescharacteristic
237#14556156—42no—
238#14556156—42no—
239#14556155—42no—
240#14556154—42no—
241#14556148—42no—
242C2×#11765855C2311yescharacteristic, complemented
243C2×#11765854C2311yescharacteristic
244C2×#11765854C2311yescharacteristic
245C2×#11765854C2311yescharacteristic, complemented
246C2×#11765853C2311yescharacteristic
247C2×#11765853C2311yescharacteristic
248C2×#11765852C2311yescharacteristic, complemented
249C2×#11765852C2311yescharacteristic, complemented
250C2×D568C2311yescharacteristic
251C2×D568C2311yescharacteristic
252C2×D568C2311yescharacteristic
253C2×D568C2311yescharacteristic
254C2×D568C2311yescharacteristic, complemented
255C2×D568C2311yescharacteristic, complemented
256C2×#11765850C2311yescharacteristic
257C2×#11765850C2311yescharacteristic
258C2×#11765850C2311yescharacteristic
259C2×#11765850C2311yescharacteristic
260C2×#11765850C2311yescharacteristic
261C2×#11765850C2311yescharacteristic
262C2×#11765850C2311yescharacteristic, complemented
263D8×D71—42no—
264D8×D71—42no—
265D8×D71—42no—
266C2×#11765849C2311yescharacteristic
267C2×#11765848C2311yescharacteristic, complemented
268C22×C71⋊C8C2311yescharacteristic, complemented
269C2×C8×D71C2311yescharacteristic
270C2×C8×D71C2311yescharacteristic
271C2×C8×D71C2311yescharacteristic, complemented
272#14556127C2311yescharacteristic, complemented
273#14556125C2311yescharacteristic
274#14556125C2311yescharacteristic, complemented
275#14556124—21no—
276#14556124—21no—
277#14556124—21no—
278#14556124C2311yescharacteristic
279#14556123—21no—
280#14556121—21no—
281#14556119—21no—
282#14556117C2311yescharacteristic
283#14556116—21no—
284#14556115C2311yescharacteristic, complemented
285#14556114—21no—
286#14556114—21no—
287#14556114—21no—
288#14556114—21no—
289#14556113—21no—
290#14556113—21no—
291#14556113—21no—
292#14556113—21no—
293#14556113—21no—
294#14556113—21no—
295#14556113D411yescharacteristic
296#14556112—21no—
297#14556111—21no—
298#14556111—21no—
299#14556111—21no—
300#14556110—21no—
301#14556110—21no—
302#14556110—21no—
303#14556110D411yescharacteristic
304#14556108—21no—
305#14556108C2311yescharacteristic
306#14556108C2311yescharacteristic
307#14556108C2311yescharacteristic, complemented
308#14556107—21no—
309#14556106—21no—
310#14556106D411yescharacteristic
311#14556105D411yescharacteristic
312#14556104C2311yescharacteristic
313#14556103—21no—
314#14556103—21no—
315#14556103—21no—
316#14556103—21no—
317#14556103—21no—
318#14556103C2311yescharacteristic
319#14556103C2311yescharacteristic
320#14556103C2311yescharacteristic
321#14556103C2311yescharacteristic
322#14556103C2311yescharacteristic
323#14556103C2311yescharacteristic, complemented
324#14556102—21no—
325#14556102—21no—
326#14556102—21no—
327#14556102—21no—
328#14556102C2311yescharacteristic
329#14556102C2311yescharacteristic
330#14556102C2311yescharacteristic
331#14556102C2311yescharacteristic, complemented
332#14556101—21no—
333#14556101—21no—
334#14556101—21no—
335#14556101—21no—
336#14556101—21no—
337#14556101—21no—
338#14556101—21no—
339#14556101—21no—
340#14556101D411yescharacteristic
341#14556100—21no—
342#14556100—21no—
343#14556100—21no—
344#14556100D411yescharacteristic
345#14556099—21no—
346#14556099—21no—
347#14556099C2311yescharacteristic
348#14556099C2311yescharacteristic
349#14556098—21no—
350#14556098—21no—
351#14556098—21no—
352#14556098—21no—
353#14556098—21no—
354#14556098—21no—
355#14556098—21no—
356#14556098—21no—
357#14556098—21no—
358#14556098—21no—
359#14556098—21no—
360#14556098—21no—
361#14556098—21no—
362#14556098—21no—
363#14556098—21no—
364#14556098D411yescharacteristic
365#14556097—21no—
366#14556096—21no—
367#14556096—21no—
368#14556096—21no—
369#14556096—21no—
370#14556096—21no—
371#14556096—21no—
372#14556096—21no—
373#14556096D411yescharacteristic
374C4×Dic142C2311yescharacteristic, complemented
375C4×D284—21no—
376C4×D284—21no—
377C4×D284C2311yescharacteristic
378C4×D284C2311yescharacteristic
379D4×Dic71C2311yescharacteristic
380#14556090—21no—
381#14556090—21no—
382#14556090C2311yescharacteristic
383#14556090C2311yescharacteristic, complemented
384#14556090C2311yescharacteristic, complemented
385C4×C22⋊D71—21no—
386C4×C22⋊D71C2311yescharacteristic
387C4×C22⋊D71C2311yescharacteristic
388(C22⋊D71)⋊C4—21no—
389(C22⋊D71)⋊C4—21no—
390#14556086—21no—
391#14556086C2311yescharacteristic
392#14556086C2311yescharacteristic, complemented
393#14556085—21no—
394#14556085C2311yescharacteristic
395C4⋊C4×D71C2311yescharacteristic
396C2×(C2×D71)⋊C4—21no—
397C2×(C2×D71)⋊C4—21no—
398C22⋊C4×D71—21no—
399C22⋊C4×D71—21no—
400C22⋊C4×D71—21no—
401C22⋊C4×D71—21no—
402C22⋊C4×D71—21no—
403C22⋊C4×D71—21no—
404#14556061C2311yescharacteristic, complemented
405#14556061C2311yescharacteristic, complemented
406#14556060C2311yescharacteristic, complemented
407#14556059C2311yescharacteristic, complemented
408#14556059C2311yescharacteristic, complemented
409C4⋊(C71⋊C8)C2311yescharacteristic, complemented
410Dic71⋊C8C2311yescharacteristic, complemented
411Dic71⋊C8C2311yescharacteristic, complemented
412#14556053C2311yescharacteristic, complemented
413#14556052C2311yescharacteristic, complemented
414#14556051C2311yescharacteristic, complemented
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic, complemented
418#14556050C2311yescharacteristic, complemented
419#14556050C2311yescharacteristic, complemented
420#14556049C2311yescharacteristic
421#14556049C2311yescharacteristic
422#14556049C2311yescharacteristic, complemented
423#14556048C2311yescharacteristic
424#14556048C2311yescharacteristic
425#14556048C2311yescharacteristic
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556048C2311yescharacteristic, complemented
430#14556048C2311yescharacteristic, complemented
431#14556048C2311yescharacteristic, complemented
432#14556048C2311yescharacteristic, complemented
433#14556048C2311yescharacteristic, complemented
434C22⋊(C71⋊C8)C2311yescharacteristic
435C22⋊(C71⋊C8)C2311yescharacteristic, complemented
436(C2×D71)⋊C8C2311yescharacteristic
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic
440(C2×D71)⋊C8C2311yescharacteristic
441(C2×D71)⋊C8C2311yescharacteristic
442(C2×D71)⋊C8C2311yescharacteristic, complemented
443(C2×D71)⋊C8C2311yescharacteristic, complemented
444#14556039C2311yescharacteristic, complemented
445#14556038C2311yescharacteristic, complemented
446C8×Dic71C2311yescharacteristic, complemented
447C2×#41×C71C2311yescharacteristic
448C22×D4×C71C2311yescharacteristic
449C2×SD16×C71C2311yescharacteristic, complemented
450C2×D8×C71C2311yescharacteristic
451C2×D8×C71C2311yescharacteristic
452C2×M16×C71C2311yescharacteristic
453C2×M16×C71C2311yescharacteristic, complemented
454#126×C71—21no—
455#125×C71C2311yescharacteristic, complemented
456#124×C71C2311yescharacteristic
457#123×C71—21no—
458#123×C71—21no—
459C22⋊Q8×C71C2311yescharacteristic
460#121×C71—21no—
461#121×C71—21no—
462#121×C71C2311yescharacteristic
463#121×C71C2311yescharacteristic
464#121×C71C2311yescharacteristic, complemented
465#120×C71—21no—
466C4×D4×C71—21no—
467C4×D4×C71C2311yescharacteristic
468C4×D4×C71C2311yescharacteristic
469C4×D4×C71C2311yescharacteristic, complemented
470#117×C71C2311yescharacteristic
471C2×C4⋊C4×C71C2311yescharacteristic, complemented
472C2×C22⋊C4×C71—21no—
473#107×C71C2311yescharacteristic, complemented
474#107×C71C2311yescharacteristic, complemented
475#106×C71C2311yescharacteristic, complemented
476C4⋊C8×C71C2311yescharacteristic, complemented
477#103×C71C2311yescharacteristic, complemented
478#103×C71C2311yescharacteristic, complemented
479#103×C71C2311yescharacteristic, complemented
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic
484#102×C71C2311yescharacteristic
485#102×C71C2311yescharacteristic
486#102×C71C2311yescharacteristic, complemented
487C22⋊C8×C71C2311yescharacteristic
488C22⋊C8×C71C2311yescharacteristic, complemented
489C4×C8×C71C2311yescharacteristic, complemented
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—21no—
494C23×D71—21no—
495C23×D71—21no—
496C23×D71—21no—
497C23×D71—21no—
498C23×D71—21no—
499C23×D71—44no—
500C23×D71—82no—
501C23×D71—82no—
502C23×D71C2×D411yescharacteristic
503#11765866—22no—
504#11765866—41no—
505#11765866—41no—
506#11765866—41no—
507#11765865—41no—
508#11765865—41no—
509#11765865—41no—
510#11765865—41no—
511#11765865—41no—
512#11765865—41no—
513#11765865—44no—
514#11765865—82no—
515C2×Dic142—21no—
516C2×Dic142C2×D411yescharacteristic
517C2×Dic142C2411yescharacteristic
518C2×D284—22no—
519C2×D284—22no—
520C2×D284—21no—
521C2×D284—21no—
522C2×D284—21no—
523C2×D284—21no—
524C2×D284—21no—
525C2×D284—21no—
526C2×D284—21no—
527C2×D284—21no—
528C2×D284—21no—
529C2×D284—21no—
530C2×D284—21no—
531C2×D284—21no—
532C2×D284—21no—
533C2×D284—21no—
534C2×D284—41no—
535C2×D284—41no—
536C2×D284—44no—
537C2×D284—82no—
538C2×D284—82no—
539C2×D284C2×D411yescharacteristic
540C2×D284C2×D411yescharacteristic
541C2×D284C2411yescharacteristic
542C2×D284C2411yescharacteristic
543C2×D284C2411yescharacteristic
544C2×D284C2411yescharacteristic
545C2×D284C2411yescharacteristic
546C2×C22⋊D71—21no—
547C2×C22⋊D71—21no—
548C2×C22⋊D71—21no—
549C2×C22⋊D71—21no—
550C2×C22⋊D71—21no—
551C2×C22⋊D71—21no—
552C2×C22⋊D71—21no—
553C2×C22⋊D71—21no—
554C2×C22⋊D71—21no—
555C2×C22⋊D71—21no—
556C2×C22⋊D71—21no—
557C2×C22⋊D71—21no—
558C2×C22⋊D71—21no—
559C2×C22⋊D71—21no—
560C2×C22⋊D71—21no—
561C2×C22⋊D71—21no—
562C2×C22⋊D71—21no—
563C2×C22⋊D71—44no—
564C2×C22⋊D71—82no—
565C2×C22⋊D71C2×D411yescharacteristic
566C2×C22⋊D71C2×D411yescharacteristic
567C2×C22⋊D71C2×D411yescharacteristic
568C2×C22⋊D71C2×D411yescharacteristic
569D4×D71—22no—
570D4×D71—22no—
571D4×D71—22no—
572D4×D71—22no—
573D4×D71—22no—
574D4×D71—41no—
575D4×D71—41no—
576D4×D71—41no—
577D4×D71—41no—
578D4×D71—41no—
579D4×D71—41no—
580D4×D71—41no—
581D4×D71—41no—
582D4×D71—41no—
583D4×D71—44no—
584D4×D71—44no—
585D4×D71—44no—
586D4×D71—44no—
587D4×D71—82no—
588D4×D71—82no—
589D4×D71—82no—
590C22×Dic71—21no—
591C22×Dic71C2×D411yescharacteristic
592C2×C4×D71—21no—
593C2×C4×D71—21no—
594C2×C4×D71—21no—
595C2×C4×D71—21no—
596C2×C4×D71—21no—
597C2×C4×D71—21no—
598C2×C4×D71—21no—
599C2×C4×D71—21no—
600C2×C4×D71—21no—
601C2×C4×D71—41no—
602C2×C4×D71—41no—
603C2×C4×D71C2×D411yescharacteristic
604C2×C4×D71C2×D411yescharacteristic
605C2×C4×D71C2411yescharacteristic
606C2×C4×D71C2411yescharacteristic
607C2×C4×D71C2411yescharacteristic
608#11765855—41no—
609#11765854—22no—
610#11765854—41no—
611#11765854—41no—
612#11765853—22no—
613#11765853—41no—
614#11765852—41no—
615#11765852—41no—
616D568—22no—
617D568—22no—
618D568—41no—
619D568—41no—
620D568—41no—
621D568—41no—
622#11765850—22no—
623#11765850—22no—
624#11765850—22no—
625#11765850—41no—
626#11765850—41no—
627#11765850—41no—
628#11765850—41no—
629#11765849—41no—
630#11765848—41no—
631C2×C71⋊C8—41no—
632C2×C71⋊C8C2411yescharacteristic
633C2×C71⋊C8C2411yescharacteristic
634C2×C71⋊C8C2411yescharacteristic
635C2×C71⋊C8C2411yescharacteristic
636C8×D71—41no—
637C8×D71—41no—
638C8×D71—41no—
639C4⋊Dic71—21no—
640C4⋊Dic71—21no—
641C4⋊Dic71—21no—
642C4⋊Dic71C2×D411yescharacteristic
643C4⋊Dic71C2411yescharacteristic
644C4⋊Dic71C2411yescharacteristic
645Dic71⋊C4—21no—
646Dic71⋊C4—21no—
647Dic71⋊C4—21no—
648Dic71⋊C4—21no—
649Dic71⋊C4C2×D411yescharacteristic
650Dic71⋊C4C2×D411yescharacteristic
651Dic71⋊C4C2×D411yescharacteristic
652Dic71⋊C4C2×D411yescharacteristic
653C22⋊Dic71—21no—
654C22⋊Dic71—21no—
655C22⋊Dic71—21no—
656C22⋊Dic71—21no—
657C22⋊Dic71—21no—
658C22⋊Dic71C2×D411yescharacteristic
659C22⋊Dic71C2×D411yescharacteristic
660(C2×D71)⋊C4—21no—
661(C2×D71)⋊C4—21no—
662(C2×D71)⋊C4—21no—
663(C2×D71)⋊C4—21no—
664(C2×D71)⋊C4—21no—
665(C2×D71)⋊C4—21no—
666(C2×D71)⋊C4—21no—
667(C2×D71)⋊C4—21no—
668(C2×D71)⋊C4—21no—
669(C2×D71)⋊C4—21no—
670(C2×D71)⋊C4—21no—
671(C2×D71)⋊C4—21no—
672(C2×D71)⋊C4—21no—
673(C2×D71)⋊C4—21no—
674(C2×D71)⋊C4—21no—
675(C2×D71)⋊C4—21no—
676(C2×D71)⋊C4—21no—
677(C2×D71)⋊C4—21no—
678(C2×D71)⋊C4—21no—
679(C2×D71)⋊C4—21no—
680(C2×D71)⋊C4—21no—
681(C2×D71)⋊C4—21no—
682(C2×D71)⋊C4C2×D411yescharacteristic
683(C2×D71)⋊C4C2×D411yescharacteristic
684(C2×D71)⋊C4C2×D411yescharacteristic
685(C2×D71)⋊C4C2×D411yescharacteristic
686(C2×D71)⋊C4C2×D411yescharacteristic
687(C2×D71)⋊C4C2×D411yescharacteristic
688C4×Dic71—21no—
689C4×Dic71—21no—
690C4×Dic71—21no—
691C4×Dic71C2411yescharacteristic
692C24×C71—21no—
693#41×C71—22no—
694#41×C71—41no—
695C2×Q8×C71C2411yescharacteristic
696C2×D4×C71—22no—
697C2×D4×C71—21no—
698C2×D4×C71—21no—
699C2×D4×C71—21no—
700C2×D4×C71—21no—
701C2×D4×C71—21no—
702C2×D4×C71—41no—
703C2×D4×C71C2×D411yescharacteristic
704C2×D4×C71C2411yescharacteristic
705C2×D4×C71C2411yescharacteristic
706C2×D4×C71C2411yescharacteristic
707C22×C4×C71—21no—
708C22×C4×C71—21no—
709C22×C4×C71—21no—
710C22×C4×C71—21no—
711C22×C4×C71C2411yescharacteristic
712C22×C4×C71C2411yescharacteristic
713SD16×C71—41no—
714D8×C71—22no—
715D8×C71—41no—
716M16×C71—41no—
717M16×C71—41no—
718C2×C8×C71C2411yescharacteristic
719C2×C8×C71C2411yescharacteristic
720C2×C8×C71C2411yescharacteristic
721C2×C8×C71C2411yescharacteristic
722C4⋊C4×C71—21no—
723C4⋊C4×C71—21no—
724C4⋊C4×C71—21no—
725C4⋊C4×C71—21no—
726C4⋊C4×C71C2×D411yescharacteristic
727C4⋊C4×C71C2411yescharacteristic
728C4⋊C4×C71C2411yescharacteristic
729C4⋊C4×C71C2411yescharacteristic
730C4⋊C4×C71C2411yescharacteristic
731C22⋊C4×C71—21no—
732C22⋊C4×C71—21no—
733C22⋊C4×C71—21no—
734C22⋊C4×C71—21no—
735C22⋊C4×C71—21no—
736C22⋊C4×C71—21no—
737C22⋊C4×C71—21no—
738C22⋊C4×C71—21no—
739C22⋊C4×C71—21no—
740C22⋊C4×C71C2×D411yescharacteristic
741C22⋊C4×C71C2×D411yescharacteristic
742C42×C71—21no—
743C42×C71C2411yescharacteristic
744C23×C71—21no—
745C23×C71—21no—
746C23×C71—21no—
747C23×C71—42no—
748C23×C71—42no—
749C23×C71—81no—
750C23×C71C22×D411yescharacteristic
751C23×C71C22×D411yescharacteristic
752C22×D71—21no—
753C22×D71—24no—
754C22×D71—22no—
755C22×D71—21no—
756C22×D71—21no—
757C22×D71—21no—
758C22×D71—21no—
759C22×D71—41no—
760C22×D71—41no—
761C22×D71—42no—
762C22×D71—42no—
763C22×D71—42no—
764C22×D71—42no—
765C22×D71—42no—
766C22×D71—42no—
767C22×D71—42no—
768C22×D71—42no—
769C22×D71—42no—
770C22×D71—42no—
771C22×D71—81no—
772C22×D71—81no—
773C22×D71—81no—
774C22×D71—81no—
775C22×D71—81no—
776C22×D71—81no—
777C22×D71—81no—
778C22×D71—81no—
779C22×D71—81no—
780C22×D71—81no—
781C22×D71—81no—
782C22×D71—81no—
783C22×D71—81no—
784C22×D71—81no—
785C22×D71—81no—
786C22×D71—81no—
787C22×D71—816no—
788C22×D71C22×D411yescharacteristic
789C22×D71C22×D411yescharacteristic
790C22×D71C22×D411yescharacteristic
791Q8×C71—21no—
792Q8×C71—21no—
793D4×C71—21no—
794D4×C71—21no—
795D4×C71—21no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—41no—
799D4×C71—42no—
800D4×C71—42no—
801D4×C71—81no—
802D4×C71—81no—
803D4×C71—81no—
804D4×C71H(5,𝔽2)12yes—
805C2×C4×C71—21no—
806C2×C4×C71—21no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—42no—
815C2×C4×C71—81no—
816C2×C4×C71—81no—
817C2×C4×C71—81no—
818C2×C4×C71C22×D411yescharacteristic
819C2×C4×C71C22×D411yescharacteristic
820C2×C4×C71C22×D411yescharacteristic
821C2×C4×C71C22×D411yescharacteristic
822C2×C4×C71C2511yescharacteristic
823C22⋊D71—24no—
824C22⋊D71—22no—
825C22⋊D71—41no—
826C22⋊D71—41no—
827C22⋊D71—41no—
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—
844C2×Dic71—21no—
845C2×Dic71—21no—
846C2×Dic71—21no—
847C2×Dic71—41no—
848C2×Dic71—81no—
849C2×Dic71C22×D411yescharacteristic
850C2×Dic71C22×D411yescharacteristic
851C2×Dic71C22×D411yescharacteristic
852C2×Dic71C22×D411yescharacteristic
853C2×Dic71C22×D411yescharacteristic
854D284—22no—
855D284—21no—
856D284—21no—
857D284—21no—
858D284—21no—
859D284—21no—
860D284—21no—
861D284—21no—
862D284—21no—
863D284—21no—
864D284—41no—
865D284—42no—
866D284—42no—
867D284—42no—
868D284—42no—
869D284—42no—
870D284—42no—
871D284—81no—
872D284—81no—
873D284—81no—
874D284—81no—
875D284—81no—
876D284—81no—
877D284—81no—
878D284—81no—
879D284H(5,𝔽2)12yes—
880C4×D71—21no—
881C4×D71—21no—
882C4×D71—21no—
883C4×D71—21no—
884C4×D71—21no—
885C4×D71—21no—
886C4×D71—41no—
887C4×D71—41no—
888C4×D71—42no—
889C4×D71—42no—
890C4×D71—42no—
891C4×D71—81no—
892C4×D71—81no—
893C4×D71—81no—
894C4×D71—81no—
895C4×D71—81no—
896C4×D71—81no—
897Dic142—21no—
898Dic142—21no—
899Dic142—41no—
900Dic142—81no—
901C8×C71—21no—
902C8×C71—21no—
903C8×C71—21no—
904C8×C71—21no—
905C71⋊C8—21no—
906C71⋊C8—21no—
907C71⋊C8—21no—
908C71⋊C8—21no—
909C22×C71—21no—
910C22×C71—21no—
911C22×C71—21no—
912C22×C71—22no—
913C22×C71—21no—
914C22×C71—21no—
915C22×C71—21no—
916C22×C71—41no—
917C22×C71—41no—
918C22×C71—41no—
919C22×C71—41no—
920C22×C71—41no—
921C22×C71—41no—
922C22×C71—41no—
923C22×C71—41no—
924C22×C71—84no—
925C22×C71C23×D411yescharacteristic
926C2×D71—21no—
927C2×D71—21no—
928C2×D71—21no—
929C2×D71—21no—
930C2×D71—21no—
931C2×D71—21no—
932C2×D71—22no—
933C2×D71—21no—
934C2×D71—21no—
935C2×D71—44no—
936C2×D71—41no—
937C2×D71—41no—
938C2×D71—41no—
939C2×D71—41no—
940C2×D71—41no—
941C2×D71—41no—
942C2×D71—41no—
943C2×D71—41no—
944C2×D71—41no—
945C2×D71—41no—
946C2×D71—41no—
947C2×D71—41no—
948C2×D71—41no—
949C2×D71—41no—
950C2×D71—84no—
951C2×D71—84no—
952C2×D71—84no—
953C2×D71—84no—
954C2×D71—84no—
955C2×D71—162no—
956C2×D71—162no—
957C2×D71—162no—
958C2×D71—162no—
959C2×D71#57612yes—
960C4×C71—21no—
961C4×C71—21no—
962C4×C71—21no—
963C4×C71—21no—
964C4×C71—41no—
965C4×C71—41no—
966C4×C71—41no—
967C4×C71—41no—
968C4×C71—41no—
969C4×C71C2×H(5,𝔽2)11yescharacteristic
970C4×C71C2×H(5,𝔽2)11yescharacteristic
971Dic71—21no—
972Dic71—21no—
973Dic71—21no—
974Dic71—21no—
975Dic71—21no—
976Dic71—41no—
977Dic71—41no—
978Dic71—41no—
979#61609—711nomaximal, Sylow
980C2×C71—41no—
981C2×C71—42no—
982C2×C71—41no—
983C2×C71—81no—
984C2×C71—81no—
985C2×C71#348411yescharacteristic
986C2×C71C2×#57611yescharacteristic
987C2×C71#358511yescharacteristic
988D71—22no—
989D71—41no—
990D71—41no—
991D71—42no—
992D71—81no—
993D71—81no—
994D71—81no—
995D71—81no—
996#3542—711no—
997#3484—711no—
998#3325—711no—
999#3322D7111yescharacteristic, complemented
1000#3319—711no—
1001#3318—711no—
1002#3310—711no—
1003#3306—711no—
1004#3296—711no—
1005#3294—711no—
1006#3280—711no—
1007D4×D8—711no—
1008#3274—711no—
1009#3273—711no—
1010#3268—711no—
1011#3264—711no—
1012#3264—711no—
1013#3264—711no—
1014#3224—711no—
1015#3220—711no—
1016#3199—711no—
1017#3198—711no—
1018#3194—711no—
1019#3191—711no—
1020#3122—711no—
1021#3118—711no—
1022#3012—711no—
1023#3008—711no—
1024#3003—711no—
1025C2×#447—711no—
1026#2976—711no—
1027C71#6160911yescharacteristic, complemented, Sylow
1028C2×H(5,𝔽2)—711no—
1029C23×D4—711no—
1030C2×AGL(1,ℤ/8)—711no—
1031C2×AGL(1,ℤ/8)—711no—
1032C2×AGL(1,ℤ/8)—711no—
1033C2×AGL(1,ℤ/8)—711no—
1034C2×#135—711no—
1035C22×D8—711no—
1036C22×D8—711no—
1037C22×D8—711no—
1038#562—1421no—
1039#560—1421no—
1040#555—711no—
1041#553C2×D7111yescharacteristic, complemented
1042#552—711no—
1043#551—1421no—
1044#550—711no—
1045#547—711no—
1046#546—711no—
1047#546—711no—
1048#546—711no—
1049#546—711no—
1050#546—711no—
1051#546—1421no—
1052#546—1421no—
1053#546—1421no—
1054#546C2×D7111yescharacteristic, complemented
1055D42—711no—
1056D42—711no—
1057D42—711no—
1058D42—711no—
1059D42—711no—
1060D42—1421no—
1061D42—1421no—
1062#542—711no—
1063#540—711no—
1064#540—1421no—
1065#538—1421no—
1066#537—711no—
1067#535—711no—
1068#535—711no—
1069#535—711no—
1070#535—1421no—
1071#534—1421no—
1072#534—1421no—
1073#534—1421no—
1074#525—711no—
1075#525—711no—
1076#525—711no—
1077C2×#121—711no—
1078C2×#120—1421no—
1079C2×#120—1421no—
1080#518—711no—
1081#496—711no—
1082#496—711no—
1083#495—711no—
1084#493—711no—
1085#490—711no—
1086#489—711no—
1087#488C2×D7111yescharacteristic, complemented
1088#486—711no—
1089#485—711no—
1090#485C2×D7111yescharacteristic, complemented
1091#483—711no—
1092#482—711no—
1093#482—711no—
1094#482—711no—
1095#482—711no—
1096#482—711no—
1097#482—711no—
1098#481—711no—
1099#480—711no—
1100#480C2×D7111yescharacteristic, complemented
1101#478—711no—
1102#478C2×D7111yescharacteristic, complemented
1103#476—711no—
1104#474—711no—
1105#469—711no—
1106#469—711no—
1107#469—711no—
1108#469—711no—
1109#469C2×D7111yescharacteristic, complemented
1110#468—711no—
1111#468—711no—
1112#468C2×D7111yescharacteristic, complemented
1113#467—711no—
1114#466—711no—
1115#466—711no—
1116#466—711no—
1117#466—711no—
1118#465—711no—
1119#465—711no—
1120#465—711no—
1121#464—711no—
1122#463—711no—
1123#463—711no—
1124#463—711no—
1125#463—711no—
1126#463C2×D7111yescharacteristic, complemented
1127#460—711no—
1128#459—711no—
1129#459—711no—
1130#459—711no—
1131#459—711no—
1132#459—711no—
1133#452—711no—
1134#452—711no—
1135#452—711no—
1136#450—711no—
1137#450—711no—
1138#450—711no—
1139#450—711no—
1140#450—711no—
1141#450—711no—
1142#449—711no—
1143#449—711no—
1144#449—711no—
1145#449—711no—
1146#449—711no—
1147#449—711no—
1148#449—711no—
1149#449—711no—
1150#449C2×D7111yescharacteristic, complemented
1151#447—711no—
1152#447—711no—
1153#447—711no—
1154#447—711no—
1155#447—711no—
1156#447—711no—
1157#447—711no—
1158#447—711no—
1159#447—711no—
1160#447—711no—
1161#447—711no—
1162#447—711no—
1163#447—711no—
1164#447—711no—
1165#447—711no—
1166#447—711no—
1167#447—711no—
1168#447C2×D7111yescharacteristic, complemented
1169#442—711no—
1170#442—711no—
1171#442—711no—
1172#440—711no—
1173C4×SD16—711no—
1174C4×D8—711no—
1175C4×D8—711no—
1176C4×D8C2×D7111yescharacteristic, complemented
1177#436—711no—
1178#436C2×D7111yescharacteristic, complemented
1179#435—711no—
1180#435—711no—
1181#435—711no—
1182#435—711no—
1183C8×D4—711no—
1184C8×D4—711no—
1185#433—711no—
1186#433—711no—
1187#418—711no—
1188#418—711no—
1189#418C2×D7111yescharacteristic, complemented
1190#417C2×D7111yescharacteristic, complemented
1191#416—711no—
1192C2×#102—711no—
1193C2×#102—711no—
1194C2×#102—711no—
1195#408—711no—
1196#408—711no—
1197#407—711no—
1198C2×C22⋊C8—711no—
1199C25—1421no—
1200H(5,𝔽2)—2842no—
1201H(5,𝔽2)—2842no—
1202C2×#41—711no—
1203C2×#41—711no—
1204C2×#41—711no—
1205C2×#41—711no—
1206C2×#41—711no—
1207C2×#41—1421no—
1208C2×#41—1421no—
1209C2×#41C22×D7111yescharacteristic
1210C22×D4—2842no—
1211C22×D4—2842no—
1212C22×D4—711no—
1213C22×D4—711no—
1214C22×D4—711no—
1215C22×D4—711no—
1216C22×D4—711no—
1217C22×D4—711no—
1218C22×D4—711no—
1219C22×D4—711no—
1220C22×D4—711no—
1221C22×D4—1421no—
1222C22×D4—1421no—
1223C22×D4—1421no—
1224C22×D4—1421no—
1225C22×D4—1421no—
1226C22×D4—1421no—
1227C22×D4—1421no—
1228C22×D4—1421no—
1229C22×D4—1421no—
1230C22×D4—1421no—
1231C22×D4—1421no—
1232C22×D4—1421no—
1233C22×D4C22×D7111yescharacteristic
1234C23×C4—711no—
1235AGL(1,ℤ/8)—2842no—
1236AGL(1,ℤ/8)—2842no—
1237AGL(1,ℤ/8)—2842no—
1238AGL(1,ℤ/8)—2842no—
1239#135—2842no—
1240C2×Q16—711no—
1241C2×SD16—711no—
1242C2×SD16—711no—
1243C2×SD16—711no—
1244C2×SD16—711no—
1245C2×SD16—711no—
1246C2×SD16—711no—
1247C2×SD16—711no—
1248C2×SD16C22×D7111yescharacteristic, complemented
1249C2×D8—2842no—
1250C2×D8—2842no—
1251C2×D8—2842no—
1252C2×D8—711no—
1253C2×D8—711no—
1254C2×D8—711no—
1255C2×D8—711no—
1256C2×D8—711no—
1257C2×D8—711no—
1258C2×D8—711no—
1259C2×D8—711no—
1260C2×D8—711no—
1261C2×D8—711no—
1262C2×D8—711no—
1263C2×D8—711no—
1264C2×D8—711no—
1265C2×D8C22×D7111yescharacteristic
1266C2×D8C22×D7111yescharacteristic
1267C2×M16—711no—
1268C2×M16—711no—
1269C2×M16C22×D7111yescharacteristic
1270C2×M16C22×D7111yescharacteristic, complemented
1271C22×C8—711no—
1272C22×C8—711no—
1273C22×C8—711no—
1274C22×C8—711no—
1275C4⋊Q8—711no—
1276#127—711no—
1277#127—711no—
1278#127—711no—
1279#127—1421no—
1280#127—1421no—
1281#127—1421no—
1282#126—21no—
1283#126—1421no—
1284#126—1421no—
1285#125—1421no—
1286#125C22×D7111yescharacteristic, complemented
1287#124—711no—
1288#124—711no—
1289#124—1421no—
1290#124—1421no—
1291#124—1421no—
1292#124—1421no—
1293#124—1421no—
1294#124C22×D7111yescharacteristic
1295#123—21no—
1296#123—21no—
1297#123—711no—
1298#123—711no—
1299#123—1421no—
1300#123—1421no—
1301#123—1421no—
1302#123—1421no—
1303#123—1421no—
1304#123—1421no—
1305#123—1421no—
1306#123—1421no—
1307#123—1421no—
1308#123—1421no—
1309#123—1421no—
1310#123—1421no—
1311#123—1421no—
1312C22⋊Q8—711no—
1313C22⋊Q8—711no—
1314C22⋊Q8—711no—
1315C22⋊Q8—711no—
1316C22⋊Q8—711no—
1317C22⋊Q8—711no—
1318C22⋊Q8—1421no—
1319C22⋊Q8—1421no—
1320C22⋊Q8—1421no—
1321C22⋊Q8C22×D7111yescharacteristic
1322#121—21no—
1323#121—21no—
1324#121—711no—
1325#121—711no—
1326#121—711no—
1327#121—711no—
1328#121—711no—
1329#121—711no—
1330#121—711no—
1331#121—711no—
1332#121—711no—
1333#121—711no—
1334#121—711no—
1335#121—711no—
1336#121—711no—
1337#121—711no—
1338#121—1421no—
1339#121—1421no—
1340#121—1421no—
1341#121—1421no—
1342#121—1421no—
1343#121—1421no—
1344#121—1421no—
1345#121—1421no—
1346#121—1421no—
1347#121—1421no—
1348#121—1421no—
1349#121—1421no—
1350#121—1421no—
1351#121—1421no—
1352#121—1421no—
1353#121—1421no—
1354#121—1421no—
1355#121—1421no—
1356#121—1421no—
1357#121—1421no—
1358#121—1421no—
1359#121—1421no—
1360#121C22×D7111yescharacteristic
1361#121C22×D7111yescharacteristic
1362#121C22×D7111yescharacteristic, complemented
1363#120—21no—
1364#120—711no—
1365#120—711no—
1366#120—1421no—
1367#120—1421no—
1368#120—1421no—
1369#120—1421no—
1370#120—1421no—
1371#120—1421no—
1372#120—1421no—
1373#120—1421no—
1374#120—1421no—
1375#120—1421no—
1376#120—1421no—
1377#120—1421no—
1378#120—1421no—
1379#120—1421no—
1380#120—1421no—
1381#120—1421no—
1382#120—1421no—
1383#120—1421no—
1384#120—1421no—
1385#120—1421no—
1386#120—1421no—
1387#120—1421no—
1388#120—1421no—
1389C4×Q8—711no—
1390C4×D4—21no—
1391C4×D4—711no—
1392C4×D4—711no—
1393C4×D4—711no—
1394C4×D4—711no—
1395C4×D4—711no—
1396C4×D4—711no—
1397C4×D4—711no—
1398C4×D4—711no—
1399C4×D4—1421no—
1400C4×D4—1421no—
1401C4×D4—1421no—
1402C4×D4—1421no—
1403C4×D4—1421no—
1404C4×D4—1421no—
1405C4×D4—1421no—
1406C4×D4C22×D7111yescharacteristic
1407C4×D4C22×D7111yescharacteristic
1408C4×D4C22×D7111yescharacteristic, complemented
1409#117—711no—
1410#117—711no—
1411#117—711no—
1412#117—1421no—
1413#117—1421no—
1414#117C22×D7111yescharacteristic
1415C2×C4⋊C4—711no—
1416C2×C4⋊C4C22×D7111yescharacteristic, complemented
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—1421no—
1419C2×C22⋊C4—1421no—
1420C2×C22⋊C4—1421no—
1421C2×C22⋊C4—1421no—
1422C2×C22⋊C4—1421no—
1423C2×C22⋊C4—1421no—
1424C2×C22⋊C4—1421no—
1425C2×C22⋊C4—1421no—
1426#107—711no—
1427#107—711no—
1428#107C22×D7111yescharacteristic, complemented
1429#107C22×D7111yescharacteristic, complemented
1430#106—711no—
1431#106—711no—
1432#106—711no—
1433#106C22×D7111yescharacteristic, complemented
1434C4⋊C8—711no—
1435C4⋊C8—711no—
1436C4⋊C8—711no—
1437C4⋊C8C22×D7111yescharacteristic, complemented
1438#103—711no—
1439#103—711no—
1440#103—711no—
1441#103C22×D7111yescharacteristic, complemented
1442#103C22×D7111yescharacteristic, complemented
1443#103C22×D7111yescharacteristic, complemented
1444#102—711no—
1445#102—711no—
1446#102—711no—
1447#102—711no—
1448#102—711no—
1449#102—711no—
1450#102—711no—
1451#102—711no—
1452#102—711no—
1453#102—711no—
1454#102—711no—
1455#102—711no—
1456#102—711no—
1457#102—711no—
1458#102—711no—
1459#102—711no—
1460#102—711no—
1461#102—711no—
1462#102—711no—
1463#102C22×D7111yescharacteristic
1464#102C22×D7111yescharacteristic
1465#102C22×D7111yescharacteristic
1466#102C22×D7111yescharacteristic
1467#102C22×D7111yescharacteristic
1468#102C22×D7111yescharacteristic
1469#102C22×D7111yescharacteristic, complemented
1470C22⋊C8—711no—
1471C22⋊C8—711no—
1472C22⋊C8—711no—
1473C22⋊C8—711no—
1474C22⋊C8—711no—
1475C22⋊C8—711no—
1476C22⋊C8—711no—
1477C22⋊C8—711no—
1478C22⋊C8—711no—
1479C22⋊C8—711no—
1480C22⋊C8C22×D7111yescharacteristic
1481C22⋊C8C22×D7111yescharacteristic, complemented
1482#97—711no—
1483#97—711no—
1484C4×C8—711no—
1485C4×C8C22×D7111yescharacteristic, complemented
1486C24—21no—
1487C24—2844no—
1488C24—5682no—
1489C24—5682no—
1490C24—711no—
1491C24—1421no—
1492C24—1421no—
1493C24—1421no—
1494C24—1421no—
1495C24—1421no—
1496C24—1421no—
1497C24—1421no—
1498C24—1421no—
1499C24—1421no—
1500#41—22no—
1501#41—41no—
1502#41—2841no—
1503#41—2841no—
1504#41—2841no—
1505#41—2841no—
1506#41—2841no—
1507#41—2841no—
1508#41—2844no—
1509#41—2841no—
1510#41—2841no—
1511#41—2841no—
1512#41—5682no—
1513#41—1422no—
1514C2×Q8—711no—
1515C2×Q8—711no—
1516C2×Q8—1421no—
1517C2×Q8C23×D7111yescharacteristic
1518C2×D4—22no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—41no—
1525C2×D4—2841no—
1526C2×D4—2841no—
1527C2×D4—2844no—
1528C2×D4—2844no—
1529C2×D4—2844no—
1530C2×D4—2844no—
1531C2×D4—2844no—
1532C2×D4—2844no—
1533C2×D4—2841no—
1534C2×D4—2841no—
1535C2×D4—2841no—
1536C2×D4—2841no—
1537C2×D4—2841no—
1538C2×D4—2841no—
1539C2×D4—2841no—
1540C2×D4—2841no—
1541C2×D4—2841no—
1542C2×D4—5682no—
1543C2×D4—5682no—
1544C2×D4—5682no—
1545C2×D4—5682no—
1546C2×D4—5682no—
1547C2×D4—5682no—
1548C2×D4—711no—
1549C2×D4—711no—
1550C2×D4—711no—
1551C2×D4—711no—
1552C2×D4—711no—
1553C2×D4—711no—
1554C2×D4—711no—
1555C2×D4—711no—
1556C2×D4—711no—
1557C2×D4—711no—
1558C2×D4—711no—
1559C2×D4—1421no—
1560C2×D4—1421no—
1561C2×D4—1421no—
1562C2×D4—1421no—
1563C2×D4—1422no—
1564C2×D4—1422no—
1565C2×D4—1421no—
1566C2×D4—1421no—
1567C2×D4—1421no—
1568C2×D4—1421no—
1569C2×D4—1421no—
1570C2×D4—1421no—
1571C2×D4—1421no—
1572C2×D4—1421no—
1573C2×D4—1421no—
1574C2×D4—1421no—
1575C2×D4—1421no—
1576C2×D4—1421no—
1577C2×D4—1421no—
1578C2×D4—1422no—
1579C2×D4—1422no—
1580C2×D4—1421no—
1581C2×D4—1422no—
1582C2×D4—1422no—
1583C2×D4—1421no—
1584C2×D4—1421no—
1585C2×D4—1421no—
1586C2×D4—1421no—
1587C2×D4—1421no—
1588C2×D4—1421no—
1589C2×D4—1421no—
1590C2×D4—1422no—
1591C2×D4—1421no—
1592C2×D4—1421no—
1593C2×D4—1421no—
1594C2×D4—1421no—
1595C2×D4—1421no—
1596C2×D4—1421no—
1597C2×D4D4×D7111yescharacteristic
1598C2×D4C23×D7111yescharacteristic
1599C2×D4C23×D7111yescharacteristic
1600C2×D4C23×D7111yescharacteristic
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—21no—
1604C22×C4—21no—
1605C22×C4—2841no—
1606C22×C4—2841no—
1607C22×C4—711no—
1608C22×C4—711no—
1609C22×C4—711no—
1610C22×C4—711no—
1611C22×C4—711no—
1612C22×C4—711no—
1613C22×C4—1421no—
1614C22×C4—1421no—
1615C22×C4—1421no—
1616C22×C4—1421no—
1617C22×C4—1421no—
1618C22×C4—1421no—
1619C22×C4—1421no—
1620C22×C4—1421no—
1621C22×C4—1421no—
1622C22×C4—1421no—
1623C22×C4C23×D7111yescharacteristic
1624C22×C4C23×D7111yescharacteristic
1625Q16—2841no—
1626SD16—41no—
1627SD16—2841no—
1628SD16—2841no—
1629SD16—2841no—
1630SD16—2841no—
1631SD16—2841no—
1632SD16—1422no—
1633SD16—1422no—
1634D8—22no—
1635D8—41no—
1636D8—2841no—
1637D8—2841no—
1638D8—2841no—
1639D8—2841no—
1640D8—2841no—
1641D8—2841no—
1642D8—2841no—
1643D8—2841no—
1644D8—1422no—
1645D8—1422no—
1646D8—1422no—
1647D8—1422no—
1648D8—1422no—
1649M16—41no—
1650M16—41no—
1651M16—2841no—
1652M16—2841no—
1653C2×C8—2841no—
1654C2×C8—2841no—
1655C2×C8—2841no—
1656C2×C8—2841no—
1657C2×C8—711no—
1658C2×C8—711no—
1659C2×C8—711no—
1660C2×C8—711no—
1661C2×C8C23×D7111yescharacteristic
1662C2×C8C23×D7111yescharacteristic
1663C2×C8C23×D7111yescharacteristic
1664C2×C8C23×D7111yescharacteristic
1665C4⋊C4—21no—
1666C4⋊C4—21no—
1667C4⋊C4—21no—
1668C4⋊C4—21no—
1669C4⋊C4—711no—
1670C4⋊C4—711no—
1671C4⋊C4—711no—
1672C4⋊C4—711no—
1673C4⋊C4—711no—
1674C4⋊C4—711no—
1675C4⋊C4—711no—
1676C4⋊C4—1421no—
1677C4⋊C4—1421no—
1678C4⋊C4—1421no—
1679C4⋊C4—1421no—
1680C4⋊C4—1421no—
1681C4⋊C4—1421no—
1682C4⋊C4—1421no—
1683C4⋊C4D4×D7111yescharacteristic
1684C4⋊C4C23×D7111yescharacteristic
1685C4⋊C4C23×D7111yescharacteristic
1686C4⋊C4C23×D7111yescharacteristic
1687C4⋊C4C23×D7111yescharacteristic
1688C22⋊C4—21no—
1689C22⋊C4—21no—
1690C22⋊C4—21no—
1691C22⋊C4—21no—
1692C22⋊C4—21no—
1693C22⋊C4—21no—
1694C22⋊C4—21no—
1695C22⋊C4—21no—
1696C22⋊C4—21no—
1697C22⋊C4—711no—
1698C22⋊C4—711no—
1699C22⋊C4—711no—
1700C22⋊C4—711no—
1701C22⋊C4—711no—
1702C22⋊C4—711no—
1703C22⋊C4—711no—
1704C22⋊C4—711no—
1705C22⋊C4—1421no—
1706C22⋊C4—1421no—
1707C22⋊C4—1421no—
1708C22⋊C4—1421no—
1709C22⋊C4—1421no—
1710C22⋊C4—1421no—
1711C22⋊C4—1421no—
1712C22⋊C4—1421no—
1713C22⋊C4—1421no—
1714C22⋊C4—1421no—
1715C22⋊C4—1421no—
1716C22⋊C4—1421no—
1717C22⋊C4—1421no—
1718C22⋊C4—1421no—
1719C22⋊C4—1421no—
1720C22⋊C4—1421no—
1721C22⋊C4—1421no—
1722C22⋊C4—1421no—
1723C22⋊C4—1421no—
1724C22⋊C4—1421no—
1725C22⋊C4—1421no—
1726C22⋊C4—1421no—
1727C22⋊C4—1421no—
1728C22⋊C4—1421no—
1729C22⋊C4—1421no—
1730C22⋊C4—1421no—
1731C22⋊C4—1421no—
1732C22⋊C4D4×D7111yescharacteristic
1733C22⋊C4D4×D7111yescharacteristic
1734C42—21no—
1735C42—711no—
1736C42—1421no—
1737C42—1421no—
1738C42—1421no—
1739C42C23×D7111yescharacteristic
1740C23—21no—
1741C23—21no—
1742C23—21no—
1743C23—42no—
1744C23—42no—
1745C23—81no—
1746C23—2841no—
1747C23—2841no—
1748C23—2842no—
1749C23—2842no—
1750C23—2842no—
1751C23—2842no—
1752C23—2842no—
1753C23—2842no—
1754C23—2842no—
1755C23—2842no—
1756C23—2842no—
1757C23—2842no—
1758C23—5681no—
1759C23—5681no—
1760C23—5681no—
1761C23—5681no—
1762C23—5681no—
1763C23—5681no—
1764C23—5681no—
1765C23—5681no—
1766C23—5681no—
1767C23—5681no—
1768C23—5681no—
1769C23—5681no—
1770C23—5681no—
1771C23—5681no—
1772C23—5681no—
1773C23—5681no—
1774C23—56816no—
1775C23—711no—
1776C23—711no—
1777C23—711no—
1778C23—1422no—
1779C23—1424no—
1780C23—1421no—
1781C23—1421no—
1782C23—1421no—
1783C23—1421no—
1784C23—1421no—
1785C23C2×D4×D7111yescharacteristic
1786C23C2×D4×D7111yescharacteristic
1787Q8—21no—
1788Q8—21no—
1789Q8—2841no—
1790Q8—5681no—
1791Q8—1421no—
1792Q8—1421no—
1793D4—21no—
1794D4—21no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—41no—
1799D4—42no—
1800D4—42no—
1801D4—81no—
1802D4—81no—
1803D4—81no—
1804D4—2842no—
1805D4—2842no—
1806D4—2841no—
1807D4—2842no—
1808D4—2842no—
1809D4—2842no—
1810D4—2842no—
1811D4—2842no—
1812D4—2842no—
1813D4—2842no—
1814D4—2841no—
1815D4—2841no—
1816D4—2841no—
1817D4—2842no—
1818D4—2842no—
1819D4—5681no—
1820D4—5681no—
1821D4—5681no—
1822D4—5681no—
1823D4—5681no—
1824D4—5681no—
1825D4—5681no—
1826D4—5681no—
1827D4—5681no—
1828D4—5681no—
1829D4—5681no—
1830D4—5681no—
1831D4—5681no—
1832D4—5681no—
1833D4—5681no—
1834D4—5681no—
1835D4—5681no—
1836D4—5681no—
1837D4—5681no—
1838D4—712no—
1839D4—1422no—
1840D4—1422no—
1841D4—1424no—
1842D4—1421no—
1843D4—1421no—
1844D4—1421no—
1845D4—1421no—
1846D4—1421no—
1847D4—1421no—
1848D4—1421no—
1849D4—1421no—
1850D4—1421no—
1851D4#1455617412yes—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—21no—
1855C2×C4—21no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—42no—
1862C2×C4—81no—
1863C2×C4—81no—
1864C2×C4—81no—
1865C2×C4—2841no—
1866C2×C4—2841no—
1867C2×C4—2842no—
1868C2×C4—2842no—
1869C2×C4—2842no—
1870C2×C4—2841no—
1871C2×C4—5681no—
1872C2×C4—5681no—
1873C2×C4—5681no—
1874C2×C4—5681no—
1875C2×C4—5681no—
1876C2×C4—5681no—
1877C2×C4—5681no—
1878C2×C4—711no—
1879C2×C4—711no—
1880C2×C4—711no—
1881C2×C4—711no—
1882C2×C4—711no—
1883C2×C4—1421no—
1884C2×C4—1421no—
1885C2×C4—1421no—
1886C2×C4—1421no—
1887C2×C4—1421no—
1888C2×C4—1421no—
1889C2×C4—1421no—
1890C2×C4—1421no—
1891C2×C4—1421no—
1892C2×C4C2×D4×D7111yescharacteristic
1893C2×C4C2×D4×D7111yescharacteristic
1894C2×C4C2×D4×D7111yescharacteristic
1895C2×C4C2×D4×D7111yescharacteristic
1896C2×C4C24×D7111yescharacteristic
1897C8—21no—
1898C8—21no—
1899C8—21no—
1900C8—21no—
1901C8—1421no—
1902C8—1421no—
1903C8—1421no—
1904C8—1421no—
1905C22—21no—
1906C22—21no—
1907C22—21no—
1908C22—21no—
1909C22—21no—
1910C22—21no—
1911C22—22no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—84no—
1921C22—2844no—
1922C22—2841no—
1923C22—2841no—
1924C22—2841no—
1925C22—2841no—
1926C22—2841no—
1927C22—2841no—
1928C22—2841no—
1929C22—2841no—
1930C22—2841no—
1931C22—2841no—
1932C22—2841no—
1933C22—2841no—
1934C22—2841no—
1935C22—2841no—
1936C22—5684no—
1937C22—5684no—
1938C22—5684no—
1939C22—5684no—
1940C22—5684no—
1941C22—712no—
1942C22—11362no—
1943C22—11362no—
1944C22—11362no—
1945C22—11362no—
1946C22—1421no—
1947C22—1421no—
1948C22—1421no—
1949C22—1421no—
1950C22—1421no—
1951C22—1422no—
1952C22—1421no—
1953C22—1421no—
1954C22—1421no—
1955C22C22×D4×D7111yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—41no—
1964C4—41no—
1965C4—2841no—
1966C4—2841no—
1967C4—2841no—
1968C4—1421no—
1969C4—1421no—
1970C4—1421no—
1971C4—1421no—
1972C4—1421no—
1973C4H(5,𝔽2)×D7111yescharacteristic
1974C4C2×#1455617411yescharacteristic
1975C2—41no—
1976C2—41no—
1977C2—42no—
1978C2—81no—
1979C2—81no—
1980C2—2841no—
1981C2—2842no—
1982C2—2841no—
1983C2—5681no—
1984C2—5681no—
1985C2—5681no—
1986C2—5681no—
1987C2—1422no—
1988C2#2260197011yescharacteristic
1989C2#576×D7111yescharacteristic
1990C2#2260311711yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3322C2
socleC22×C71C23×D4
hypercenter#3322D71
hypocenterC71#61609
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3322

Complements

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

NH ≅ G/Ntype
1. #22602659C2semidirect
2. #22601970C2semidirect
3. #22600578C2semidirect
4. #22600499C2semidirect
5. #22600475C2semidirect
6. #22600358C2semidirect
7. #22600302C2semidirect
8. #22600174C2semidirect
9. #22600151C2semidirect
10. #22600023C2semidirect
11. D8×D284C2semidirect
12. #22599962C2semidirect
13. #22599948C2semidirect
14. #22599876C2semidirect
15. #22599827C2semidirect
16. #22599826C2semidirect
17. #22599818C2semidirect
18. #22599433C2semidirect
19. #22599393C2semidirect
20. #22599202C2semidirect
21. #22599199C2semidirect
22. #22599155C2semidirect
23. #22599135C2semidirect
24. #22598585C2semidirect
25. #22598520C2semidirect
26. #22597646C2semidirect
27. #22597605C2semidirect
28. #22597569C2semidirect
29. #447×D71C2semidirect
30. #22597384C2semidirect
31. C71×#3322C2semidirect
32. C2×#14556174C22semidirect
33. C22×D4×D71C22semidirect
34. C2×#14556156C22semidirect
35. C2×#14556156C22semidirect
36. C2×#14556155C22semidirect
37. C2×#14556154C22semidirect
38. C2×#14556148C22semidirect
39. C2×D8×D71C22semidirect
40. C2×D8×D71C22semidirect
41. C2×D8×D71C22semidirect
44. #17986712C22semidirect
45. #17986687C22semidirect
47. #17986670C22semidirect
48. #17986650C22semidirect
49. #17986646C22semidirect
50. #17986646C22semidirect
54. #17986640C22semidirect
56. #17986637C22semidirect
58. D4×D284C22semidirect
59. D4×D284C22semidirect
61. #17986633C22semidirect
62. D4×C22⋊D71C22semidirect
64. #17986614C22semidirect
65. #17986605C22semidirect
68. #17986580C22semidirect
69. #17986567C22semidirect
71. #17986565C22semidirect
72. #17986565C22semidirect
76. #17986512C22semidirect
77. #17986511C22semidirect
79. #121×D71C22semidirect
82. #17986471C22semidirect
83. #17986389C22semidirect
84. #17986387C22semidirect
85. #17986380C22semidirect
86. #17986376C22semidirect
87. #17986365C22semidirect
88. #17986360C22semidirect
89. #17986344C22semidirect
90. #17986342C22semidirect
91. #17986328C22semidirect
92. #17986326C22semidirect
93. #17986325C22semidirect
94. #17986325C22semidirect
95. #17986323C22semidirect
96. #17986322C22semidirect
97. #17986322C22semidirect
98. #17986317C22semidirect
99. #17986314C22semidirect
100. #17986296C22semidirect
101. #17986287C22semidirect
102. #17986278C22semidirect
103. #17986252C22semidirect
104. #17986252C22semidirect
105. #17986251C22semidirect
106. #17986250C22semidirect
107. #17986247C22semidirect
108. #17986246C22semidirect
109. #17986239C22semidirect
110. #17986236C22semidirect
111. #17986236C22semidirect
112. #17986233C22semidirect
113. #17986233C22semidirect
114. #17986231C22semidirect
115. #17986229C22semidirect
116. #17986227C22semidirect
117. #17986218C22semidirect
118. #17986217C22semidirect
119. #17986217C22semidirect
120. #17986213C22semidirect
121. #17986212C22semidirect
122. #17986200C22semidirect
123. #17986195C22semidirect
124. #17986194C22semidirect
125. #17986194C22semidirect
126. #17986193C22semidirect
127. #17986193C22semidirect
128. #17986164C22semidirect
129. #17986164C22semidirect
130. #17986159C22semidirect
131. #17986151C22semidirect
132. #17986151C22semidirect
133. #17986151C22semidirect
134. #17986151C22semidirect
135. #17986151C22semidirect
136. #17986148C22semidirect
137. #17986147C22semidirect
138. #17986147C22semidirect
139. #17986147C22semidirect
140. #17986146C22semidirect
141. #17986146C22semidirect
142. #17986144C22semidirect
143. #17986143C22semidirect
144. #17986142C22semidirect
145. #17986135C22semidirect
146. #17986135C22semidirect
147. #17986134C22semidirect
148. #17986134C22semidirect
149. #17986134C22semidirect
150. #17986134C22semidirect
151. #17986134C22semidirect
152. #17986134C22semidirect
153. #17986134C22semidirect
154. #17986134C22semidirect
155. #17986134C22semidirect
156. #17986133C22semidirect
157. #17986132C22semidirect
158. #17986132C22semidirect
160. #17986131C22semidirect
161. #17986131C22semidirect
162. #17986110C22semidirect
163. #17986109C22semidirect
164. #17986108C22semidirect
165. #17986099C22semidirect
166. C4×#11765854C22semidirect
167. #17986081C22semidirect
168. #17986079C22semidirect
169. #17986075C22semidirect
170. #17986073C22semidirect
171. #17986071C22semidirect
172. #17986069C22semidirect
173. #17986068C22semidirect
174. C8×D284C22semidirect
175. (C22⋊D71)⋊C8C22semidirect
176. #17986059C22semidirect
177. #17986058C22semidirect
178. #17986003C22semidirect
179. #17986002C22semidirect
180. #17985994C22semidirect
181. C2×#14556048C22semidirect
182. #102×D71C22semidirect
183. #102×D71C22semidirect
184. #17985967C22semidirect
185. #17985964C22semidirect
186. #17985962C22semidirect
187. C22⋊C8×D71C22semidirect
188. #553×C71C22semidirect
189. #546×C71C22semidirect
190. #488×C71C22semidirect
191. #485×C71C22semidirect
192. #480×C71C22semidirect
193. #478×C71C22semidirect
194. #469×C71C22semidirect
195. #468×C71C22semidirect
196. #463×C71C22semidirect
197. #449×C71C22semidirect
198. #447×C71C22semidirect
199. C4×D8×C71C22semidirect
200. #436×C71C22semidirect
201. #418×C71C22semidirect
202. #417×C71C22semidirect
212. C2×#11765865C23semidirect
235. C2×D4×D71C23semidirect
242. C2×#11765855C23semidirect
245. C2×#11765854C23semidirect
248. C2×#11765852C23semidirect
249. C2×#11765852C23semidirect
254. C2×D568C23semidirect
255. C2×D568C23semidirect
262. C2×#11765850C23semidirect
267. C2×#11765848C23semidirect
268. C22×C71⋊C8C23semidirect
271. C2×C8×D71C23semidirect
272. #14556127C23semidirect
274. #14556125C23semidirect
284. #14556115C23semidirect
307. #14556108C23semidirect
323. #14556103C23semidirect
331. #14556102C23semidirect
374. C4×Dic142C23semidirect
383. #14556090C23semidirect
384. #14556090C23semidirect
392. #14556086C23semidirect
404. #14556061C23semidirect
405. #14556061C23semidirect
406. #14556060C23semidirect
407. #14556059C23semidirect
408. #14556059C23semidirect
409. C4⋊(C71⋊C8)C23semidirect
410. Dic71⋊C8C23semidirect
411. Dic71⋊C8C23semidirect
412. #14556053C23semidirect
413. #14556052C23semidirect
414. #14556051C23semidirect
417. #14556050C23semidirect
418. #14556050C23semidirect
419. #14556050C23semidirect
422. #14556049C23semidirect
429. #14556048C23semidirect
430. #14556048C23semidirect
431. #14556048C23semidirect
432. #14556048C23semidirect
433. #14556048C23semidirect
435. C22⋊(C71⋊C8)C23semidirect
442. (C2×D71)⋊C8C23semidirect
443. (C2×D71)⋊C8C23semidirect
444. #14556039C23semidirect
445. #14556038C23semidirect
446. C8×Dic71C23semidirect
449. C2×SD16×C71C23semidirect
453. C2×M16×C71C23semidirect
455. #125×C71C23semidirect
464. #121×C71C23semidirect
469. C4×D4×C71C23semidirect
471. C2×C4⋊C4×C71C23semidirect
473. #107×C71C23semidirect
474. #107×C71C23semidirect
475. #106×C71C23semidirect
476. C4⋊C8×C71C23semidirect
477. #103×C71C23semidirect
478. #103×C71C23semidirect
479. #103×C71C23semidirect
486. #102×C71C23semidirect
488. C22⋊C8×C71C23semidirect
489. C4×C8×C71C23semidirect
999. #3322D71semidirect
1027. C71#61609semidirect
1041. #553C2×D71semidirect
1054. #546C2×D71semidirect
1087. #488C2×D71semidirect
1090. #485C2×D71semidirect
1100. #480C2×D71semidirect
1102. #478C2×D71semidirect
1109. #469C2×D71semidirect
1112. #468C2×D71semidirect
1126. #463C2×D71semidirect
1150. #449C2×D71semidirect
1168. #447C2×D71semidirect
1176. C4×D8C2×D71semidirect
1178. #436C2×D71semidirect
1189. #418C2×D71semidirect
1190. #417C2×D71semidirect
1248. C2×SD16C22×D71semidirect
1270. C2×M16C22×D71semidirect
1286. #125C22×D71semidirect
1362. #121C22×D71semidirect
1408. C4×D4C22×D71semidirect
1416. C2×C4⋊C4C22×D71semidirect
1428. #107C22×D71semidirect
1429. #107C22×D71semidirect
1433. #106C22×D71semidirect
1437. C4⋊C8C22×D71semidirect
1441. #103C22×D71semidirect
1442. #103C22×D71semidirect
1443. #103C22×D71semidirect
1469. #102C22×D71semidirect
1481. C22⋊C8C22×D71semidirect
1485. C4×C8C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226026592
#226019702
#226005782
#226004992
#226004752
#226003582
#226003022
#226001742
#226001512
#226000232
D8×D2842
#225999622
#225999482
#225998762
#225998272
#225998262
#225998182
#225994332
#225993932
#225992022
#225991992
#225991552
#225991352
#225985852
#225985202
#225976462
#225976052
#225975692
#447×D712
#225973842
C71×#33222
#6160971