Finite Group Databasebeta

← #32905750

Subgroups — #32905750

Order 18176.

7190 conjugacy classes of subgroups.

The subgroup lattice has 1524 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602447C214yesmaximal, complemented
2#22602443C214yesmaximal, complemented
3#22602353C214yesmaximal, complemented
4#22602342C214yesmaximal, complemented
5#22602191C212yesmaximal, complemented
6#22602187C214yesmaximal, complemented
7#22602148C211yesmaximal, characteristic, complemented
8#22602109C211yesmaximal, characteristic, complemented
9#22602061C211yesmaximal, characteristic, complemented
10#22602059C211yesmaximal, characteristic, complemented
11#22602055C214yesmaximal, complemented
12#22601996C212yesmaximal, complemented
13#22601964C214yesmaximal, complemented
14#22601953C214yesmaximal, complemented
15#22601937C214yesmaximal, complemented
16#22601931C214yesmaximal, complemented
17#22601762C211yesmaximal, characteristic, complemented
18#22601758C214yesmaximal, complemented
19#22601633C212yesmaximal, complemented
20#22601632C214yesmaximal, complemented
21C4×#14556175C212yesmaximal, complemented
22C2×C4×#11765864C211yesmaximal, characteristic, complemented
23C71×#3460C211yesmaximal, characteristic, complemented
24C2×#14556175C2212yes—
25C22×#11765864C2211yescharacteristic
26#17986735C2214yescomplemented
27#17986733C2218yescomplemented
28#17986731C2214yescomplemented
29#17986731C2218yescomplemented
30#17986729C2214yescomplemented
31#17986726C2214yescomplemented
32#17986726C2214yescomplemented
33#17986724C2214yescomplemented
34#17986723C2214yescomplemented
35#17986720C2214yescomplemented
36#17986718C2218yescomplemented
37#17986718C2214yescomplemented
38#17986716C2218yescomplemented
39#17986716C2218yescomplemented
40#17986715C2214yescomplemented
41#17986713C2218yescomplemented
42#17986713C2214yescomplemented
43#17986713C2214yescomplemented
44#17986711C2218yescomplemented
45#17986711C2218yescomplemented
46#17986702C2214yescomplemented
47#17986701C2214yescomplemented
48#17986701C2214yescomplemented
49#17986700C2218yescomplemented
50#17986696C2214yescomplemented
51#17986694C2218yescomplemented
52#17986692C2218yescomplemented
53#17986692C2218yescomplemented
54#17986691C2214yescomplemented
55#17986687C2214yescomplemented
56#17986686C2218yescomplemented
57#17986685C2218yescomplemented
58#17986669C2214yes—
59#17986669C2214yes—
60#17986669C2214yescomplemented
61#17986667C2214yes—
62#17986667C2214yes—
63#17986667C2214yescomplemented
64#17986667C2218yescomplemented
65#17986662C2214yescomplemented
66#17986659C2214yescomplemented
67#17986657C2214yes—
68#17986657C2214yes—
69#17986655C2214yes—
70#17986655C2214yes—
71#17986655C2214yescomplemented
72#17986649C2214yescomplemented
73#17986647C2218yescomplemented
74#17986630C2211yescharacteristic
75#17986628C2214yes—
76#17986619C2218yescomplemented
77#17986617C2218yescomplemented
78#17986614C2214yescomplemented
79#17986601C2218yescomplemented
80#17986600C2214yescomplemented
81#17986599C2218yescomplemented
82#17986589C2214yes—
83#17986587C2214yes—
84#17986586C2214yes—
85#17986584C2218yes—
86#17986580C2211yescharacteristic
87#17986576C2214yes—
88#17986566C2212yes—
89#17986564C2218yes—
90#17986553C2212yescomplemented
91#17986553C2212yescomplemented
92#17986552C2212yes—
93#17986552C2214yescomplemented
94#17986551C2214yes—
95#17986551C2214yescomplemented
96#17986546C2218yescomplemented
97#17986546C2214yescomplemented
98#17986546C2212yescomplemented
99#17986546C2212yescomplemented
100#17986545C2212yes—
101#17986545C2218yescomplemented
102#17986545C2214yescomplemented
103#17986544C2214yes—
104#17986544C2214yescomplemented
105#17986536C2212yescomplemented
106#17986536C2212yescomplemented
107#17986535C2214yes—
108#17986535C2214yescomplemented
109#17986531C2214yescomplemented
110#17986531C2212yescomplemented
111#17986531C2212yescomplemented
112#17986530C2214yes—
113#17986530C2214yescomplemented
114#17986529C2214yes—
115#17986529C2214yes—
116#17986529C2218yescomplemented
117#17986529C2218yescomplemented
118#17986527C2218yescomplemented
119#17986527C2214yescomplemented
120#17986527C2214yescomplemented
121#17986526C2218yescomplemented
122#17986526C2218yescomplemented
123#17986511C2212yes—
124#17986510C2214yes—
125#17986508C2214yes—
126#17986508C2214yes—
127#17986506C2212yes—
128#17986505C2218yes—
129#17986505C2218yes—
130#17986482C2212yes—
131#17986479C2212yes—
132#17986479C2214yescomplemented
133#17986478C2218yes—
134#17986478C2214yescomplemented
135#17986476C2212yes—
136#17986476C2214yescomplemented
137#17986475C2214yescomplemented
138#41×Dic71C2214yescomplemented
139C4×#11765865C2212yes—
140C4×#11765865C2214yescomplemented
141C4×#11765865C2214yescomplemented
142C4×#11765865C2214yescomplemented
143#17986467C2214yescomplemented
144C4×#11765864C2218yes—
145C4×#11765864C2214yes—
146C4×#11765864C2214yes—
147C4×#11765864C2214yes—
148C4×#11765864C2214yes—
149C4×#11765864C2214yescomplemented
150C4×#11765864C2218yescomplemented
151C2×C4×Dic142C2211yescharacteristic
152C2×C4×Dic142C2214yescomplemented
153C2×#14556093C2211yescharacteristic
154C4×Q8×D71C2214yescomplemented
155C2×D4×Dic71C2211yescharacteristic
156C2×C4×C22⋊D71C2212yes—
157C2×(C22⋊D71)⋊C4C2212yes—
158C2×#14556086C2211yescharacteristic
159C2×#14556084C2212yes—
160C22×C4×Dic71C2212yes—
161C2×C42×D71C2211yescharacteristic
162#544×C71C2211yescharacteristic
163#542×C71C2214yescomplemented
164#540×C71C2214yescomplemented
165#538×C71C2214yes—
166#537×C71C2211yescharacteristic
167#535×C71C2212yes—
168#532×C71C2214yescomplemented
169#529×C71C2214yescomplemented
170#525×C71C2214yes—
171C4×#41×C71C2212yes—
172C2×C4×D4×C71C2211yescharacteristic
173#14556175—216no—
174C2×#11765865C2312yes—
175C2×#11765865C2314yes—
176C2×#11765865C2314yes—
177C2×#11765865C2314yes—
178C2×#11765865C2314yes—
179C2×#11765864—28no—
180C2×#11765864C2318yes—
181C2×#11765864C2314yes—
182C2×#11765864C2314yes—
183C2×#11765864C2314yes—
184C2×#11765864C2318yes—
185C22×Dic142C2314yes—
186C22×Dic142C2311yescharacteristic
187C2×Q8×D71C2314yes—
188C22×C22⋊D71C2312yes—
189C23×Dic71C2312yes—
190C23×Dic71C2312yes—
191C22×C4×D71C2311yescharacteristic
192C22×C4×D71C2311yescharacteristic
193C22×C4×D71C2311yescharacteristic
194#14556127C2314yes—
195#14556127C2318yes—
196#14556127C2314yes—
197#14556127C2312yes—
198#14556127C2314yes—
199#14556127C2312yes—
200#14556126C2318yes—
201#14556126C2312yes—
202#14556126C2314yes—
203#14556124C2318yes—
204#14556124C2318yes—
205#14556124C2314yes—
206#14556124C2314yes—
207#14556124C2312yes—
208#14556123C2318yes—
209#14556123C2318yes—
210#14556123C2318yes—
211#14556123C2314yes—
212#14556123C2314yes—
213#14556121C2318yes—
214#14556121C2318yes—
215#14556121C2318yes—
216#14556121C2314yes—
217#14556121C2318yes—
218#14556121C2314yes—
219#14556119C2314yes—
220#14556119C2314yes—
221#14556119C2314yes—
222#14556119C2312yes—
223#14556119C2312yes—
224#14556118C2318yes—
225#14556118C2318yes—
226#14556118C2314yes—
227#14556118C2318yes—
228#14556118C2314yes—
229#14556117C2318yes—
230#14556117C2312yes—
231#14556117C2314yes—
232#14556115C2314yes—
233#14556115C2318yes—
234#14556115C2312yes—
235#14556115C2314yes—
236#14556114C2318yes—
237#14556114C2318yes—
238#14556114C2318yes—
239#14556114C2318yes—
240#14556114C2318yes—
241#14556114C2318yes—
242#14556114C2314yes—
243#14556114C2314yes—
244#14556113C2318yes—
245#14556113C2314yes—
246#14556113C2314yes—
247#14556112C2318yes—
248#14556112C2318yes—
249#14556112C2314yes—
250#14556111C2318yes—
251#14556110C2318yes—
252#14556110C2318yes—
253#14556110C2314yes—
254#14556110C2314yes—
255#14556109C2318yes—
256#14556109C2318yes—
257#14556109C2314yes—
258#14556108C2314yes—
259#14556108C2312yes—
260#14556108C2312yes—
261#14556107C2314yes—
262#14556107C2314yes—
263#14556106C2318yes—
264#14556106C2314yes—
265#14556106C2314yes—
266#14556105C2318yes—
267#14556105C2314yes—
268#14556105C2318yes—
269#14556105C2318yes—
270#14556105C2318yes—
271#14556105C2314yes—
272#14556104C2312yes—
273#14556104C2312yes—
274#14556103C2314yes—
275#14556103C2318yes—
276#14556103C2312yes—
277#14556103C2312yes—
278#14556102C2314yes—
279#14556102C2314yes—
280#14556101C2318yes—
281#14556101C2318yes—
282#14556101C2318yes—
283#14556101C2318yes—
284#14556101C2314yes—
285#14556101C2314yes—
286#14556100C2318yes—
287#14556100C2318yes—
288#14556100C2314yes—
289#14556100C2318yes—
290#14556100C2318yes—
291#14556100C2318yes—
292#14556100C2318yes—
293#14556100C2318yes—
294#14556100C2318yes—
295#14556100C2314yes—
296#14556099C2314yes—
297#14556099C2314yes—
298#14556099C2318yes—
299#14556099C2312yes—
300#14556099C2312yes—
301#14556098C2314yes—
302#14556097C2318yes—
303#14556096C2314yes—
304Q8×Dic71C2314yes—
305Q8×Dic71C2314yes—
306Q8×Dic71C2314yes—
307C4×Dic142C2312yes—
308C4×Dic142C2314yes—
309C4×Dic142C2314yes—
310C4×Dic142C2314yes—
311C4×Dic142C2318yes—
312C4×Dic142C2314yes—
313C4×Dic142C2314yes—
314C4×Dic142C2314yes—
315C4×Dic142C2318yes—
316C4×Dic142C2314yes—
317C4×Dic142C2312yes—
318C4×Dic142C2314yes—
319C4×Dic142C2314yes—
320#14556093C2318yes—
321#14556093C2314yes—
322#14556093C2314yes—
323#14556093C2314yes—
324#14556093C2314yes—
325#14556093C2318yes—
326#14556093C2318yes—
327#14556093C2314yes—
328#14556093C2314yes—
329C4×D284C2312yes—
330C4×D284C2314yes—
331C4×D284C2314yes—
332C4×D284C2314yes—
333C4×D284C2314yes—
334C4×D284C2312yes—
335C4×D284C2314yes—
336D4×Dic71C2318yes—
337D4×Dic71C2314yes—
338D4×Dic71C2318yes—
339D4×Dic71C2318yes—
340D4×Dic71C2314yes—
341D4×Dic71C2314yes—
342D4×Dic71C2314yes—
343D4×Dic71C2318yes—
344D4×Dic71C2314yes—
345#14556090C2314yes—
346#14556090C2314yes—
347C4×C22⋊D71C2314yes—
348C4×C22⋊D71C2318yes—
349C4×C22⋊D71C2314yes—
350C4×C22⋊D71C2314yes—
351C4×C22⋊D71C2314yes—
352C4×C22⋊D71C2314yes—
353C4×C22⋊D71C2318yes—
354C4×C22⋊D71C2314yes—
355C4×C22⋊D71C2314yes—
356C4×C22⋊D71C2318yes—
357C4×C22⋊D71C2314yes—
358C4×C22⋊D71C2318yes—
359C4×C22⋊D71C2314yes—
360C4×C22⋊D71C2318yes—
361C4×C22⋊D71C2314yes—
362(C22⋊D71)⋊C4C2318yes—
363(C22⋊D71)⋊C4C2318yes—
364(C22⋊D71)⋊C4C2318yes—
365(C22⋊D71)⋊C4C2318yes—
366(C22⋊D71)⋊C4C2318yes—
367(C22⋊D71)⋊C4C2318yes—
368(C22⋊D71)⋊C4C2318yes—
369(C22⋊D71)⋊C4C2318yes—
370(C22⋊D71)⋊C4C2318yes—
371#14556087C2312yes—
372#14556087C2314yes—
373#14556087C2314yes—
374#14556087C2314yes—
375#14556087C2314yes—
376#14556086C2318yes—
377#14556086C2318yes—
378#14556086C2314yes—
379#14556086C2314yes—
380#14556086C2314yes—
381#14556085C2314yes—
382#14556085C2314yes—
383#14556085C2318yes—
384#14556085C2314yes—
385#14556085C2314yes—
386#14556085C2314yes—
387#14556084C2318yes—
388#14556084C2318yes—
389#14556084C2318yes—
390#14556084C2318yes—
391#14556084C2318yes—
392#14556084C2318yes—
393#14556084C2318yes—
394C2×C4⋊Dic71C2314yes—
395C2×C4⋊Dic71C2311yescharacteristic
396C2×Dic71⋊C4C2312yes—
397C2×Dic71⋊C4C2318yes—
398C2×Dic71⋊C4C2312yes—
399C4⋊C4×D71C2318yes—
400C4⋊C4×D71C2314yes—
401C2×C22⋊Dic71C2312yes—
402C2×(C2×D71)⋊C4C2312yes—
403C2×C4×Dic71C2311yescharacteristic
404C2×C4×Dic71C2311yescharacteristic
405C2×C4×Dic71C2311yescharacteristic
406C2×C4×Dic71C2312yes—
407C2×C4×Dic71C2312yes—
408C2×C4×Dic71C2312yes—
409C2×C4×Dic71C2314yes—
410C2×C4×Dic71C2314yes—
411C2×C4×Dic71C2314yes—
412C2×C4×Dic71C2314yes—
413C2×C4×Dic71C2318yes—
414C42×D71C2312yes—
415C42×D71C2312yes—
416C42×D71C2312yes—
417C42×D71C2312yes—
418C42×D71C2318yes—
419C42×D71C2314yes—
420C2×#41×C71C2312yes—
421C2×#41×C71C2314yes—
422C22×D4×C71C2311yescharacteristic
423C23×C4×C71C2312yes—
424C4⋊Q8×C71C2314yes—
425#127×C71C2314yes—
426#126×C71C2318yes—
427#125×C71C2314yes—
428#124×C71C2314yes—
429#124×C71C2318yes—
430#123×C71C2318yes—
431#123×C71C2318yes—
432C22⋊Q8×C71C2314yes—
433C22⋊Q8×C71C2314yes—
434C22⋊Q8×C71C2314yes—
435#121×C71C2314yes—
436#121×C71C2314yes—
437#121×C71C2314yes—
438#121×C71C2314yes—
439#121×C71C2314yes—
440#121×C71C2318yes—
441#120×C71C2318yes—
442C4×Q8×C71C2312yes—
443C4×Q8×C71C2312yes—
444C4×D4×C71C2314yes—
445C4×D4×C71C2314yes—
446C4×D4×C71C2314yes—
447C4×D4×C71C2312yes—
448C4×D4×C71C2314yes—
449C4×D4×C71C2312yes—
450C4×D4×C71C2318yes—
451#117×C71C2312yes—
452#117×C71C2314yes—
453#117×C71C2314yes—
454C2×C4⋊C4×C71C2311yescharacteristic
455C2×C22⋊C4×C71C2312yes—
456C2×C42×C71C2311yescharacteristic
457C2×C42×C71C2314yes—
458C23×D71C2411yescharacteristic
459#11765865—28no—
460#11765865—216no—
461#11765865—48no—
462#11765865—48no—
463#11765865—48no—
464#11765864—232no—
465#11765864—216no—
466#11765864—216no—
467#11765864—216no—
468#11765864—416no—
469C2×Dic142—216no—
470C2×Dic142#4118yescomplemented
471C2×Dic142C2418yes—
472C2×Dic142C2412yes—
473C2×Dic142C2414yes—
474C2×Dic142C2414yes—
475C2×Dic142C2414yes—
476C2×Dic142C2414yes—
477Q8×D71—216no—
478C2×D284C2412yes—
479C2×D284C2414yes—
480C2×D284C2414yes—
481C2×D284C2414yes—
482C2×C22⋊D71—28no—
483C2×C22⋊D71C2418yes—
484C2×C22⋊D71C2414yes—
485C2×C22⋊D71C2418yes—
486C2×C22⋊D71C2414yes—
487C2×C22⋊D71C2418yes—
488C2×C22⋊D71C2418yes—
489C2×C22⋊D71C2414yes—
490C2×C22⋊D71C2414yes—
491C2×C22⋊D71C2414yes—
492C22×Dic71—28no—
493C22×Dic71—44no—
494C22×Dic71C2411yescharacteristic
495C22×Dic71C2411yescharacteristic
496C22×Dic71C2414yes—
497C22×Dic71C2414yes—
498C22×Dic71C2414yes—
499C22×Dic71C2418yes—
500C22×Dic71C2411yescharacteristic
501C22×Dic71C2412yes—
502C22×Dic71C2414yes—
503C22×Dic71C2418yes—
504C22×Dic71C2412yes—
505C2×C4×D71—24no—
506C2×C4×D71—42no—
507C2×C4×D71—42no—
508C2×C4×D71C2412yes—
509C2×C4×D71C2412yes—
510C2×C4×D71C2412yes—
511C2×C4×D71C2412yes—
512C2×C4×D71C2418yes—
513C2×C4×D71C2414yes—
514C2×C4×D71C2414yes—
515C2×C4×D71C2412yes—
516C2×C4×D71C2412yes—
517C2×C4×D71C2418yes—
518C2×C4×D71C2414yes—
519C4⋊Dic71C2414yes—
520C4⋊Dic71C2418yes—
521C4⋊Dic71C2412yes—
522C4⋊Dic71C2414yes—
523C4⋊Dic71C2412yes—
524C4⋊Dic71C2414yes—
525C4⋊Dic71C2414yes—
526C4⋊Dic71C2414yes—
527C4⋊Dic71C2414yes—
528C4⋊Dic71C2414yes—
529Dic71⋊C4C2418yes—
530Dic71⋊C4C2418yes—
531Dic71⋊C4C2418yes—
532Dic71⋊C4C2414yes—
533Dic71⋊C4C2418yes—
534Dic71⋊C4C2414yes—
535Dic71⋊C4C2414yes—
536Dic71⋊C4C2418yes—
537Dic71⋊C4C2414yes—
538Dic71⋊C4C2414yes—
539Dic71⋊C4C2418yes—
540Dic71⋊C4C2414yes—
541Dic71⋊C4C2414yes—
542Dic71⋊C4C2414yes—
543Dic71⋊C4C2414yes—
544Dic71⋊C4C2414yes—
545C22⋊Dic71C2418yes—
546C22⋊Dic71C2414yes—
547C22⋊Dic71C2418yes—
548C22⋊Dic71C2414yes—
549C22⋊Dic71C2418yes—
550C22⋊Dic71C2414yes—
551C22⋊Dic71C2414yes—
552C22⋊Dic71C2414yes—
553C22⋊Dic71C2418yes—
554(C2×D71)⋊C4C2418yes—
555(C2×D71)⋊C4C2414yes—
556(C2×D71)⋊C4C2414yes—
557(C2×D71)⋊C4C2418yes—
558(C2×D71)⋊C4C2414yes—
559(C2×D71)⋊C4C2414yes—
560(C2×D71)⋊C4C2414yes—
561(C2×D71)⋊C4C2414yes—
562(C2×D71)⋊C4C2414yes—
563(C2×D71)⋊C4C2414yes—
564(C2×D71)⋊C4C2414yes—
565(C2×D71)⋊C4C2414yes—
566(C2×D71)⋊C4C2418yes—
567C4×Dic71C2411yescharacteristic
568C4×Dic71C2414yes—
569C4×Dic71C2411yescharacteristic
570C4×Dic71C2411yescharacteristic
571C4×Dic71C2411yescharacteristic
572C4×Dic71C2412yes—
573C4×Dic71C2412yes—
574C4×Dic71C2412yes—
575C4×Dic71C2412yes—
576C4×Dic71C2414yes—
577C4×Dic71C2418yes—
578C4×Dic71C2414yes—
579C4×Dic71C2418yes—
580C4×Dic71C2414yes—
581C4×Dic71C2414yes—
582C4×Dic71C2414yes—
583C4×Dic71C2414yes—
584C4×Dic71C2414yes—
585C4×Dic71C2414yes—
586C4×Dic71C2418yes—
587C4×Dic71C2418yes—
588C24×C71C2412yes—
589#41×C71—28no—
590#41×C71—48no—
591C2×Q8×C71C2412yes—
592C2×Q8×C71C2414yes—
593C2×D4×C71—24no—
594C2×D4×C71C2414yes—
595C2×D4×C71C2414yes—
596C2×D4×C71C2412yes—
597C2×D4×C71C2418yes—
598C2×D4×C71C2418yes—
599C2×D4×C71C2414yes—
600C22×C4×C71—44no—
601C22×C4×C71C2411yescharacteristic
602C22×C4×C71C2414yes—
603C22×C4×C71C2414yes—
604C22×C4×C71C2414yes—
605C22×C4×C71C2411yescharacteristic
606C22×C4×C71C2414yes—
607C22×C4×C71C2412yes—
608C22×C4×C71C2414yes—
609C22×C4×C71C2411yescharacteristic
610C4⋊C4×C71C2414yes—
611C4⋊C4×C71C2412yes—
612C4⋊C4×C71C2412yes—
613C4⋊C4×C71C2414yes—
614C4⋊C4×C71C2414yes—
615C4⋊C4×C71C2414yes—
616C4⋊C4×C71C2414yes—
617C4⋊C4×C71C2418yes—
618C22⋊C4×C71C2418yes—
619C22⋊C4×C71C2414yes—
620C22⋊C4×C71C2414yes—
621C22⋊C4×C71C2414yes—
622C22⋊C4×C71C2418yes—
623C22⋊C4×C71C2418yes—
624C22⋊C4×C71C2418yes—
625C42×C71C2412yes—
626C42×C71C2412yes—
627C42×C71C2414yes—
628C42×C71C2414yes—
629C42×C71C2414yes—
630C23×C71—24no—
631C23×C71—42no—
632C23×C71—42no—
633C23×C71C2514yes—
634C23×C71C2514yes—
635C23×C71C2511yescharacteristic
636C22×D71—22no—
637C22×D71—41no—
638C22×D71—41no—
639C22×D71C2512yes—
640C22×D71C2514yes—
641Q8×C71—24no—
642Q8×C71—44no—
643D4×C71—28no—
644D4×C71—28no—
645D4×C71—24no—
646D4×C71—44no—
647D4×C71—48no—
648D4×C71—48no—
649C2×C4×C71—28no—
650C2×C4×C71—22no—
651C2×C4×C71—28no—
652C2×C4×C71—28no—
653C2×C4×C71—42no—
654C2×C4×C71—44no—
655C2×C4×C71—41no—
656C2×C4×C71—44no—
657C2×C4×C71C2×#4114yes—
658C2×C4×C71C2512yes—
659C2×C4×C71C2514yes—
660C2×C4×C71C2514yes—
661C2×C4×C71C2511yescharacteristic
662C2×C4×C71C2514yes—
663C2×C4×C71C2514yes—
664C2×C4×C71C2512yes—
665C2×C4×C71C2511yescharacteristic
666C22⋊D71—28no—
667C22⋊D71—216no—
668C22⋊D71—216no—
669C22⋊D71—28no—
670C22⋊D71—48no—
671C22⋊D71—44no—
672C22⋊D71—44no—
673C22⋊D71—48no—
674C22⋊D71—44no—
675C2×Dic71—22no—
676C2×Dic71—28no—
677C2×Dic71—28no—
678C2×Dic71—216no—
679C2×Dic71—22no—
680C2×Dic71—28no—
681C2×Dic71—41no—
682C2×Dic71—42no—
683C2×Dic71—44no—
684C2×Dic71—48no—
685C2×Dic71C2×#4118yes—
686C2×Dic71C2511yescharacteristic
687C2×Dic71C2511yescharacteristic
688C2×Dic71C2511yescharacteristic
689C2×Dic71C2514yes—
690C2×Dic71C2514yes—
691C2×Dic71C2514yes—
692C2×Dic71C2512yes—
693C2×Dic71C2514yes—
694C2×Dic71C2514yes—
695C2×Dic71C2511yescharacteristic
696D284—24no—
697D284—44no—
698D284—44no—
699D284—44no—
700C4×D71—24no—
701C4×D71—24no—
702C4×D71—28no—
703C4×D71—24no—
704C4×D71—28no—
705C4×D71—216no—
706C4×D71—24no—
707C4×D71—42no—
708C4×D71—42no—
709C4×D71—48no—
710C4×D71—44no—
711Dic142—24no—
712Dic142—216no—
713Dic142—28no—
714Dic142—44no—
715Dic142—44no—
716Dic142C2×#41116yes—
717C22×C71—21no—
718C22×C71—21no—
719C22×C71—24no—
720C22×C71—24no—
721C22×C71—24no—
722C22×C71—24no—
723C22×C71—24no—
724C22×C71—24no—
725C22×C71—48no—
726C22×C71C22×#4112yes—
727C22×C71C2611yescharacteristic
728C2×D71—24no—
729C2×D71—22no—
730C2×D71—22no—
731C2×D71—22no—
732C2×D71—24no—
733C2×D71—24no—
734C2×D71—44no—
735C4×C71—24no—
736C4×C71—24no—
737C4×C71—24no—
738C4×C71—24no—
739C4×C71—22no—
740C4×C71—21no—
741C4×C71C22×#4114yes—
742C4×C71#58512yes—
743Dic71—24no—
744Dic71—21no—
745Dic71—21no—
746Dic71—24no—
747Dic71—24no—
748Dic71—22no—
749Dic71—21no—
750Dic71—24no—
751Dic71C22×#4118yes—
752Dic71#58512yes—
753#62793—711nomaximal, Sylow
754C2×C71—22no—
755C2×C71—44no—
756C2×C71—44no—
757C2×C71C23×#4111yescharacteristic
758C2×C71C2×#58511yescharacteristic
759C2×C71C2×#58511yescharacteristic
760D71—44no—
761D71—42no—
762#3524—714no—
763#3524—714no—
764#3518—714no—
765#3517—714no—
766#3506—714no—
767#3506—712no—
768#3502—711no—
769#3497—711no—
770#3493—711no—
771#3493—714no—
772#3493—711no—
773#3487—712no—
774#3483—714no—
775#3482—714no—
776#3480—714no—
777#3480—714no—
778#3460—714no—
779#3460—711no—
780#3460D7111yescharacteristic, complemented
781#3444—714no—
782#3444—712no—
783C4×2−1+4—712no—
784C2×C4×#41—711no—
785C71#6279311yescharacteristic, complemented, Sylow
786C2×2−1+4—712no—
787C22×#41—711no—
788#559—714no—
789#559—714no—
790#559—718no—
791#559—718no—
792Q82—714no—
793#557—714no—
794#557—714no—
795#557—714no—
796#556—714no—
797#556—718no—
798#556—718no—
799#556—718no—
800#556—714no—
801#556—714no—
802#555—714no—
803#555—718no—
804#555—718no—
805#555—714no—
806#555—718no—
807#555—714no—
808#553—718no—
809#553—714no—
810#553—718no—
811#553—718no—
812#553—718no—
813#553—714no—
814#553—714no—
815#553—714no—
816#552—718no—
817#552—714no—
818#552—718no—
819#552—714no—
820#550—714no—
821#550—714no—
822#550—714no—
823#550—714no—
824#550—714no—
825#550—714no—
826#550—718no—
827D4×Q8—714no—
828#548—714no—
829#548—714no—
830#548—714no—
831#548—714no—
832#548—714no—
833#548—714no—
834#547—718no—
835#547—714no—
836#544—714no—
837#544—711no—
838#544C2×D7111yescharacteristic
839#542—718no—
840#542—718no—
841#542—714no—
842#542C2×D7114yescomplemented
843#540—718no—
844#540—718no—
845#540—714no—
846#540C2×D7114yescomplemented
847#538—714no—
848#538—714no—
849#538—718no—
850#538—714no—
851#538C2×D7114yes—
852#537—714no—
853#537—711no—
854#537C2×D7111yescharacteristic
855#535—712no—
856#535—718no—
857#535C2×D7112yes—
858#533—714no—
859#533—714no—
860#533—712no—
861#533—712no—
862#533—714no—
863#533—712no—
864#532—714no—
865#532—712no—
866#532—718no—
867#532—714no—
868#532—714no—
869#532—712no—
870#532—712no—
871#532—718no—
872#532—714no—
873#532C2×D7114yescomplemented
874#529—718no—
875#529—718no—
876#529—714no—
877#529—714no—
878#529—714no—
879#529—714no—
880#529—712no—
881#529—712no—
882#529—714no—
883#529—718no—
884#529—712no—
885#529—714no—
886#529—712no—
887#529—718no—
888#529—714no—
889#529—714no—
890#529—714no—
891#529—718no—
892#529C2×D7114yescomplemented
893#525—712no—
894#525—714no—
895#525—718no—
896#525—718no—
897#525—714no—
898#525—714no—
899#525—712no—
900#525C2×D7114yes—
901#520—712no—
902#520—718no—
903#520—714no—
904#520—712no—
905#520—714no—
906#519—714no—
907#519—712no—
908#519—714no—
909C4×#41—714no—
910C4×#41—714no—
911C4×#41—714no—
912C4×#41—714no—
913C4×#41—714no—
914C4×#41—718no—
915C4×#41—714no—
916C4×#41—718no—
917C4×#41—714no—
918C4×#41—712no—
919C4×#41—714no—
920C4×#41—714no—
921C4×#41—714no—
922C4×#41C2×D7112yes—
923C2×C4×Q8—714no—
924C2×C4×Q8—711no—
925C2×C4×Q8—711no—
926C2×C4×Q8—714no—
927C2×C4×D4—711no—
928C2×C4×D4—712no—
929C2×C4×D4—712no—
930C2×C4×D4C2×D7111yescharacteristic
931C2×#117—711no—
932C2×#117—712no—
933C22×C42—712no—
934C22×C42—711no—
9352−1+4—14216no—
936C2×#41—718no—
937C2×#41—714no—
938C2×#41—714no—
939C2×#41—718no—
940C2×#41—714no—
941C2×#41—714no—
942C2×#41—714no—
943C2×#41—714no—
944C2×#41—712no—
945C2×#41—714no—
946C2×#41—1428no—
947C2×#41C22×D7112yes—
948C2×#41C22×D7114yes—
949C22×Q8—714no—
950C22×Q8—711no—
951C22×Q8—714no—
952C22×D4—712no—
953C22×D4C22×D7111yescharacteristic
954C23×C4—712no—
955C23×C4—711no—
956C23×C4—711no—
957C23×C4—712no—
958C23×C4—711no—
959C23×C4C22×D7112yes—
960C4⋊Q8—712no—
961C4⋊Q8—714no—
962C4⋊Q8—718no—
963C4⋊Q8—714no—
964C4⋊Q8—712no—
965C4⋊Q8—714no—
966C4⋊Q8—712no—
967C4⋊Q8—718no—
968C4⋊Q8—714no—
969C4⋊Q8C22×D7114yes—
970#127—712no—
971#127—714no—
972#127—714no—
973#127—718no—
974#127—718no—
975#127C22×D7114yes—
976#126—714no—
977#126—718no—
978#126—714no—
979#126—718no—
980#126—718no—
981#126—714no—
982#126—718no—
983#126—714no—
984#126—718no—
985#126—718no—
986#126—718no—
987#126C22×D7118yes—
988#125—714no—
989#125—714no—
990#125—714no—
991#125—714no—
992#125—718no—
993#125—712no—
994#125—712no—
995#125—718no—
996#125—718no—
997#125—714no—
998#125C22×D7114yes—
999#124—712no—
1000#124—714no—
1001#124—718no—
1002#124—712no—
1003#124—714no—
1004#124—714no—
1005#124—718no—
1006#124—714no—
1007#124—718no—
1008#124—714no—
1009#124—718no—
1010#124—718no—
1011#124—718no—
1012#124—718no—
1013#124—718no—
1014#124C22×D7114yes—
1015#124C22×D7118yes—
1016#123—714no—
1017#123—718no—
1018#123—718no—
1019#123—718no—
1020#123—714no—
1021#123—714no—
1022#123—718no—
1023#123—714no—
1024#123—714no—
1025#123—714no—
1026#123—718no—
1027#123—718no—
1028#123—718no—
1029#123—718no—
1030#123C22×D7118yes—
1031#123C22×D7118yes—
1032C22⋊Q8—712no—
1033C22⋊Q8—712no—
1034C22⋊Q8—714no—
1035C22⋊Q8—714no—
1036C22⋊Q8—714no—
1037C22⋊Q8—714no—
1038C22⋊Q8—712no—
1039C22⋊Q8—712no—
1040C22⋊Q8—718no—
1041C22⋊Q8—714no—
1042C22⋊Q8—714no—
1043C22⋊Q8—714no—
1044C22⋊Q8—718no—
1045C22⋊Q8—718no—
1046C22⋊Q8—718no—
1047C22⋊Q8—718no—
1048C22⋊Q8C22×D7114yes—
1049C22⋊Q8C22×D7114yes—
1050C22⋊Q8C22×D7114yes—
1051#121—714no—
1052#121—714no—
1053#121—712no—
1054#121—718no—
1055#121—712no—
1056#121—718no—
1057#121—718no—
1058#121—714no—
1059#121—718no—
1060#121—714no—
1061#121—718no—
1062#121—718no—
1063#121—718no—
1064#121—718no—
1065#121—718no—
1066#121—714no—
1067#121—714no—
1068#121—712no—
1069#121—712no—
1070#121—714no—
1071#121—718no—
1072#121—714no—
1073#121—714no—
1074#121—718no—
1075#121—718no—
1076#121—718no—
1077#121—718no—
1078#121C22×D7114yes—
1079#121C22×D7114yes—
1080#121C22×D7114yes—
1081#121C22×D7114yes—
1082#121C22×D7114yes—
1083#121C22×D7118yes—
1084#120—718no—
1085#120—714no—
1086#120—714no—
1087#120C22×D7118yes—
1088C4×Q8—714no—
1089C4×Q8—714no—
1090C4×Q8—714no—
1091C4×Q8—714no—
1092C4×Q8—714no—
1093C4×Q8—714no—
1094C4×Q8—718no—
1095C4×Q8—718no—
1096C4×Q8—714no—
1097C4×Q8—718no—
1098C4×Q8—714no—
1099C4×Q8—714no—
1100C4×Q8—714no—
1101C4×Q8—718no—
1102C4×Q8—712no—
1103C4×Q8—714no—
1104C4×Q8—714no—
1105C4×Q8—714no—
1106C4×Q8—718no—
1107C4×Q8—714no—
1108C4×Q8—712no—
1109C4×Q8—714no—
1110C4×Q8—714no—
1111C4×Q8—714no—
1112C4×Q8—714no—
1113C4×Q8C22×D7112yes—
1114C4×Q8C22×D7112yes—
1115C4×D4—714no—
1116C4×D4—714no—
1117C4×D4—718no—
1118C4×D4—714no—
1119C4×D4—718no—
1120C4×D4—718no—
1121C4×D4—718no—
1122C4×D4—714no—
1123C4×D4—714no—
1124C4×D4—718no—
1125C4×D4—718no—
1126C4×D4—714no—
1127C4×D4—718no—
1128C4×D4—714no—
1129C4×D4—714no—
1130C4×D4—718no—
1131C4×D4—718no—
1132C4×D4—714no—
1133C4×D4—714no—
1134C4×D4—714no—
1135C4×D4—714no—
1136C4×D4—714no—
1137C4×D4—714no—
1138C4×D4—714no—
1139C4×D4—714no—
1140C4×D4—714no—
1141C4×D4—718no—
1142C4×D4—718no—
1143C4×D4—718no—
1144C4×D4—718no—
1145C4×D4—718no—
1146C4×D4—718no—
1147C4×D4—718no—
1148C4×D4—718no—
1149C4×D4—718no—
1150C4×D4—712no—
1151C4×D4—712no—
1152C4×D4—714no—
1153C4×D4—714no—
1154C4×D4—714no—
1155C4×D4—714no—
1156C4×D4—714no—
1157C4×D4C22×D7114yes—
1158C4×D4C22×D7114yes—
1159C4×D4C22×D7114yes—
1160C4×D4C22×D7112yes—
1161C4×D4C22×D7118yes—
1162C4×D4C22×D7114yes—
1163C4×D4C22×D7112yes—
1164#117—714no—
1165#117—712no—
1166#117—714no—
1167#117—714no—
1168#117—714no—
1169#117—714no—
1170#117—714no—
1171#117—718no—
1172#117—714no—
1173#117—718no—
1174#117—718no—
1175#117—718no—
1176#117—718no—
1177#117—718no—
1178#117—718no—
1179#117—718no—
1180#117—718no—
1181#117—714no—
1182#117—714no—
1183#117—718no—
1184#117—714no—
1185#117—714no—
1186#117—714no—
1187#117C22×D7114yes—
1188#117C22×D7112yes—
1189#117C22×D7114yes—
1190C2×C4⋊C4—712no—
1191C2×C4⋊C4—711no—
1192C2×C4⋊C4—712no—
1193C2×C4⋊C4—718no—
1194C2×C4⋊C4—714no—
1195C2×C4⋊C4—718no—
1196C2×C4⋊C4—714no—
1197C2×C4⋊C4C22×D7111yescharacteristic
1198C2×C22⋊C4—712no—
1199C2×C22⋊C4—712no—
1200C2×C22⋊C4C22×D7112yes—
1201C2×C42—712no—
1202C2×C42—711no—
1203C2×C42—712no—
1204C2×C42—711no—
1205C2×C42—712no—
1206C2×C42—718no—
1207C2×C42—714no—
1208C2×C42—714no—
1209C2×C42—714no—
1210C2×C42—714no—
1211C2×C42—711no—
1212C2×C42—718no—
1213C2×C42—714no—
1214C2×C42—712no—
1215C2×C42—712no—
1216C2×C42—712no—
1217C2×C42—712no—
1218C2×C42C22×D7111yescharacteristic
1219C2×C42C22×D7114yes—
1220C24—711no—
1221C24C23×D7112yes—
1222#41—28no—
1223#41—48no—
1224#41—2848no—
1225#41—2848no—
1226#41—2848no—
1227#41—28416no—
1228#41—14216no—
1229#41—14232no—
1230#41—14216no—
1231#41—14216no—
1232#41—14216no—
1233#41—1428no—
1234C2×Q8—718no—
1235C2×Q8—714no—
1236C2×Q8—714no—
1237C2×Q8—714no—
1238C2×Q8—718no—
1239C2×Q8—712no—
1240C2×Q8—714no—
1241C2×Q8—14216no—
1242C2×Q8—14216no—
1243C2×Q8C23×D7112yes—
1244C2×Q8C23×D7114yes—
1245C2×D4—24no—
1246C2×D4—714no—
1247C2×D4—718no—
1248C2×D4—714no—
1249C2×D4—718no—
1250C2×D4—714no—
1251C2×D4—714no—
1252C2×D4—718no—
1253C2×D4—714no—
1254C2×D4—718no—
1255C2×D4—714no—
1256C2×D4—714no—
1257C2×D4—714no—
1258C2×D4—712no—
1259C2×D4—1428no—
1260C2×D4C23×D7114yes—
1261C2×D4C23×D7114yes—
1262C2×D4C23×D7112yes—
1263C2×D4C23×D7118yes—
1264C2×D4C23×D7114yes—
1265C2×D4C23×D7118yes—
1266C22×C4—44no—
1267C22×C4—2842no—
1268C22×C4—2842no—
1269C22×C4—2844no—
1270C22×C4—712no—
1271C22×C4—711no—
1272C22×C4—714no—
1273C22×C4—718no—
1274C22×C4—712no—
1275C22×C4—712no—
1276C22×C4—718no—
1277C22×C4—714no—
1278C22×C4—712no—
1279C22×C4—711no—
1280C22×C4—711no—
1281C22×C4—714no—
1282C22×C4—714no—
1283C22×C4—714no—
1284C22×C4—718no—
1285C22×C4—712no—
1286C22×C4—712no—
1287C22×C4—712no—
1288C22×C4—718no—
1289C22×C4—714no—
1290C22×C4—714no—
1291C22×C4—712no—
1292C22×C4—1428no—
1293C22×C4—1424no—
1294C22×C4C23×D7114yes—
1295C22×C4C23×D7111yescharacteristic
1296C22×C4C23×D7114yes—
1297C22×C4C23×D7114yes—
1298C22×C4C23×D7112yes—
1299C22×C4C23×D7114yes—
1300C22×C4C23×D7111yescharacteristic
1301C22×C4C23×D7114yes—
1302C22×C4C23×D7111yescharacteristic
1303C4⋊C4—718no—
1304C4⋊C4—718no—
1305C4⋊C4—718no—
1306C4⋊C4—714no—
1307C4⋊C4—718no—
1308C4⋊C4—714no—
1309C4⋊C4—714no—
1310C4⋊C4—718no—
1311C4⋊C4—714no—
1312C4⋊C4—714no—
1313C4⋊C4—714no—
1314C4⋊C4—714no—
1315C4⋊C4—718no—
1316C4⋊C4—714no—
1317C4⋊C4—714no—
1318C4⋊C4—714no—
1319C4⋊C4—714no—
1320C4⋊C4—712no—
1321C4⋊C4—718no—
1322C4⋊C4—714no—
1323C4⋊C4—712no—
1324C4⋊C4—714no—
1325C4⋊C4—714no—
1326C4⋊C4—714no—
1327C4⋊C4—714no—
1328C4⋊C4—714no—
1329C4⋊C4C23×D7112yes—
1330C4⋊C4C23×D7114yes—
1331C4⋊C4C23×D7114yes—
1332C4⋊C4C23×D7112yes—
1333C4⋊C4C23×D7114yes—
1334C4⋊C4C23×D7118yes—
1335C4⋊C4C23×D7114yes—
1336C4⋊C4C23×D7114yes—
1337C22⋊C4—718no—
1338C22⋊C4—714no—
1339C22⋊C4—718no—
1340C22⋊C4—714no—
1341C22⋊C4—714no—
1342C22⋊C4—714no—
1343C22⋊C4—718no—
1344C22⋊C4—718no—
1345C22⋊C4—714no—
1346C22⋊C4—718no—
1347C22⋊C4—714no—
1348C22⋊C4—718no—
1349C22⋊C4—714no—
1350C22⋊C4—714no—
1351C22⋊C4—714no—
1352C22⋊C4—714no—
1353C22⋊C4—714no—
1354C22⋊C4—714no—
1355C22⋊C4—714no—
1356C22⋊C4—714no—
1357C22⋊C4—718no—
1358C22⋊C4—714no—
1359C22⋊C4C23×D7118yes—
1360C22⋊C4C23×D7114yes—
1361C22⋊C4C23×D7114yes—
1362C22⋊C4C23×D7114yes—
1363C22⋊C4C23×D7118yes—
1364C22⋊C4C23×D7118yes—
1365C22⋊C4C23×D7118yes—
1366C42—711no—
1367C42—711no—
1368C42—714no—
1369C42—712no—
1370C42—714no—
1371C42—714no—
1372C42—712no—
1373C42—714no—
1374C42—712no—
1375C42—714no—
1376C42—712no—
1377C42—718no—
1378C42—718no—
1379C42—714no—
1380C42—718no—
1381C42—718no—
1382C42—714no—
1383C42—711no—
1384C42—714no—
1385C42—711no—
1386C42—714no—
1387C42C23×D7112yes—
1388C42C23×D7114yes—
1389C42C23×D7114yes—
1390C42C23×D7112yes—
1391C42C23×D7114yes—
1392C23—24no—
1393C23—42no—
1394C23—42no—
1395C23—2841no—
1396C23—2841no—
1397C23—712no—
1398C23—714no—
1399C23—1422no—
1400C23C24×D7114yes—
1401C23C24×D7114yes—
1402C23C24×D7111yescharacteristic
1403Q8—24no—
1404Q8—44no—
1405Q8—2844no—
1406Q8—2844no—
1407Q8—7116no—
1408Q8—14216no—
1409Q8—1428no—
1410Q8—1424no—
1411D4—28no—
1412D4—28no—
1413D4—24no—
1414D4—44no—
1415D4—48no—
1416D4—48no—
1417D4—2844no—
1418D4—2844no—
1419D4—2844no—
1420D4—2844no—
1421D4—2848no—
1422D4—2844no—
1423D4—2848no—
1424D4—2844no—
1425D4—14216no—
1426D4—1428no—
1427D4—14216no—
1428D4—1428no—
1429D4—1424no—
1430C2×C4—28no—
1431C2×C4—22no—
1432C2×C4—28no—
1433C2×C4—28no—
1434C2×C4—44no—
1435C2×C4—42no—
1436C2×C4—41no—
1437C2×C4—44no—
1438C2×C4—2842no—
1439C2×C4—2842no—
1440C2×C4—2844no—
1441C2×C4—2848no—
1442C2×C4—2842no—
1443C2×C4—2844no—
1444C2×C4—2841no—
1445C2×C4—2848no—
1446C2×C4—718no—
1447C2×C4—714no—
1448C2×C4—711no—
1449C2×C4—711no—
1450C2×C4—711no—
1451C2×C4—711no—
1452C2×C4—714no—
1453C2×C4—714no—
1454C2×C4—714no—
1455C2×C4—712no—
1456C2×C4—714no—
1457C2×C4—1424no—
1458C2×C4—14216no—
1459C2×C4—1422no—
1460C2×C4—1428no—
1461C2×C4—1428no—
1462C2×C4—1428no—
1463C2×C4—14216no—
1464C2×C4—1422no—
1465C2×C4—1424no—
1466C2×C4—1424no—
1467C2×C4—1428no—
1468C2×C4—1424no—
1469C2×C4—1428no—
1470C2×C4#41×D7114yes—
1471C2×C4C24×D7111yescharacteristic
1472C2×C4C24×D7112yes—
1473C2×C4C24×D7114yes—
1474C2×C4C24×D7114yes—
1475C2×C4C24×D7114yes—
1476C2×C4C24×D7114yes—
1477C2×C4C24×D7112yes—
1478C2×C4C24×D7111yescharacteristic
1479C22—21no—
1480C22—21no—
1481C22—24no—
1482C22—24no—
1483C22—24no—
1484C22—24no—
1485C22—24no—
1486C22—24no—
1487C22—48no—
1488C22—2844no—
1489C22—1424no—
1490C22—1422no—
1491C22—1424no—
1492C22—1422no—
1493C22—1422no—
1494C22—1424no—
1495C22C2×#41×D7112yes—
1496C22C25×D7111yescharacteristic
1497C4—24no—
1498C4—22no—
1499C4—24no—
1500C4—21no—
1501C4—24no—
1502C4—24no—
1503C4—718no—
1504C4—712no—
1505C4—1421no—
1506C4—1421no—
1507C4—1424no—
1508C4—1421no—
1509C4—1424no—
1510C4—1424no—
1511C4—1422no—
1512C4—1424no—
1513C4C2×#41×D7114yes—
1514C4#1798683412yes—
1515C2—22no—
1516C2—44no—
1517C2—44no—
1518C2—2842no—
1519C2—2844no—
1520C2C22×#41×D7111yescharacteristic
1521C2#585×D7111yescharacteristic
1522C2C2×#1798683411yescharacteristic
subgroupG/H
centerC2×C4C24×D71
commutator, socle, cosocleC22×C71C26
FrattiniC22C25×D71
FittingC71×#3460C2
hypercenter#3460D71
hypocenterC71#62793
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ #3460

Complements

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

NH ≅ G/Ntype
1. #22602447C2semidirect
2. #22602443C2semidirect
3. #22602353C2semidirect
4. #22602342C2semidirect
5. #22602191C2semidirect
6. #22602187C2semidirect
7. #22602148C2semidirect
8. #22602109C2semidirect
9. #22602061C2semidirect
10. #22602059C2semidirect
11. #22602055C2semidirect
12. #22601996C2semidirect
13. #22601964C2semidirect
14. #22601953C2semidirect
15. #22601937C2semidirect
16. #22601931C2semidirect
17. #22601762C2semidirect
18. #22601758C2semidirect
19. #22601633C2semidirect
20. #22601632C2semidirect
21. C4×#14556175C2semidirect
22. C2×C4×#11765864C2semidirect
23. C71×#3460C2semidirect
26. #17986735C22semidirect
27. #17986733C22semidirect
28. #17986731C22semidirect
29. #17986731C22semidirect
30. #17986729C22semidirect
31. #17986726C22semidirect
32. #17986726C22semidirect
33. #17986724C22semidirect
34. #17986723C22semidirect
35. #17986720C22semidirect
36. #17986718C22semidirect
37. #17986718C22semidirect
38. #17986716C22semidirect
39. #17986716C22semidirect
40. #17986715C22semidirect
41. #17986713C22semidirect
42. #17986713C22semidirect
43. #17986713C22semidirect
44. #17986711C22semidirect
45. #17986711C22semidirect
46. #17986702C22semidirect
47. #17986701C22semidirect
48. #17986701C22semidirect
49. #17986700C22semidirect
50. #17986696C22semidirect
51. #17986694C22semidirect
52. #17986692C22semidirect
53. #17986692C22semidirect
54. #17986691C22semidirect
55. #17986687C22semidirect
56. #17986686C22semidirect
57. #17986685C22semidirect
60. #17986669C22semidirect
63. #17986667C22semidirect
64. #17986667C22semidirect
65. #17986662C22semidirect
66. #17986659C22semidirect
71. #17986655C22semidirect
72. #17986649C22semidirect
73. #17986647C22semidirect
76. #17986619C22semidirect
77. #17986617C22semidirect
78. #17986614C22semidirect
79. #17986601C22semidirect
80. #17986600C22semidirect
81. #17986599C22semidirect
90. #17986553C22semidirect
91. #17986553C22semidirect
93. #17986552C22semidirect
95. #17986551C22semidirect
96. #17986546C22semidirect
97. #17986546C22semidirect
98. #17986546C22semidirect
99. #17986546C22semidirect
101. #17986545C22semidirect
102. #17986545C22semidirect
104. #17986544C22semidirect
105. #17986536C22semidirect
106. #17986536C22semidirect
108. #17986535C22semidirect
109. #17986531C22semidirect
110. #17986531C22semidirect
111. #17986531C22semidirect
113. #17986530C22semidirect
116. #17986529C22semidirect
117. #17986529C22semidirect
118. #17986527C22semidirect
119. #17986527C22semidirect
120. #17986527C22semidirect
121. #17986526C22semidirect
122. #17986526C22semidirect
132. #17986479C22semidirect
134. #17986478C22semidirect
136. #17986476C22semidirect
137. #17986475C22semidirect
138. #41×Dic71C22semidirect
140. C4×#11765865C22semidirect
141. C4×#11765865C22semidirect
142. C4×#11765865C22semidirect
143. #17986467C22semidirect
149. C4×#11765864C22semidirect
150. C4×#11765864C22semidirect
152. C2×C4×Dic142C22semidirect
154. C4×Q8×D71C22semidirect
163. #542×C71C22semidirect
164. #540×C71C22semidirect
168. #532×C71C22semidirect
169. #529×C71C22semidirect
470. C2×Dic142#41semidirect
780. #3460D71semidirect
785. C71#62793semidirect
842. #542C2×D71semidirect
846. #540C2×D71semidirect
873. #532C2×D71semidirect
892. #529C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226024472
#226024432
#226023532
#226023422
#226021912
#226021872
#226021482
#226021092
#226020612
#226020592
#226020552
#226019962
#226019642
#226019532
#226019372
#226019312
#226017622
#226017582
#226016332
#226016322
C4×#145561752
C2×C4×#117658642
C71×#34602
#6279371