Finite Group Databasebeta

← #32906022

Subgroups — #32906022

Order 18176.

7286 conjugacy classes of subgroups.

The subgroup lattice has 1436 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602090C214yesmaximal, complemented
2#22602084C214yesmaximal, complemented
3#22602073C214yesmaximal, complemented
4#22602067C214yesmaximal, complemented
5#22602055C214yesmaximal, complemented
6#22602045C214yesmaximal, complemented
7#22602034C214yesmaximal, complemented
8#22602026C214yesmaximal, complemented
9#22601896C218yesmaximal, complemented
10#22601892C218yesmaximal, complemented
11#22601743C211yesmaximal, characteristic, complemented
12#22601730C211yesmaximal, characteristic, complemented
13#22601728C212yesmaximal, complemented
14#22601667C211yesmaximal, characteristic, complemented
15#22601637C211yesmaximal, characteristic, complemented
16#22601635C211yesmaximal, characteristic, complemented
17#22601633C212yesmaximal, complemented
18#525×D71C212yesmaximal, complemented
19#22601539C212yesmaximal, complemented
20C2×#117×D71C211yesmaximal, characteristic, complemented
21C71×#3455C211yesmaximal, characteristic, complemented
22C2×#41×D71C2212yes—
23C23×C4×D71C2211yescharacteristic
24#17986718C2218yescomplemented
25#17986716C2218yescomplemented
26#17986713C2218yescomplemented
27#17986711C2218yescomplemented
28#17986705C2218yescomplemented
29#17986703C2218yescomplemented
30#17986700C2218yescomplemented
31#17986694C2218yescomplemented
32#17986694C2218yescomplemented
33#17986692C2218yescomplemented
34#17986687C2218yescomplemented
35#17986686C2218yescomplemented
36#17986685C2218yescomplemented
37#17986685C2218yescomplemented
38#17986685C2218yescomplemented
39#17986683C2218yescomplemented
40#17986681C2218yescomplemented
41#17986681C2218yescomplemented
42#17986679C2218yescomplemented
43#17986677C2218yescomplemented
44#17986677C2218yescomplemented
45#17986676C2218yescomplemented
46#17986674C2218yescomplemented
47#17986674C2218yescomplemented
48#17986674C2218yescomplemented
49#17986672C2218yescomplemented
50#17986651C2218yescomplemented
51#17986647C2218yescomplemented
52#17986646C2218yescomplemented
53#17986642C2218yescomplemented
54#17986641C2218yescomplemented
55#17986638C2218yescomplemented
56#17986629C2214yescomplemented
57#17986628C2214yescomplemented
58#17986626C2214yescomplemented
59#17986624C2214yes—
60#17986622C2214yescomplemented
61#17986620C2214yescomplemented
62#17986616C2214yescomplemented
63#17986611C2212yescomplemented
64#17986609C2214yescomplemented
65#17986604C2212yescomplemented
66#17986602C2214yescomplemented
67#17986596C2214yescomplemented
68#17986593C2218yescomplemented
69#17986587C2214yescomplemented
70#17986584C2218yescomplemented
71#17986576C2214yescomplemented
72#17986574C2212yescomplemented
73#17986569C2212yescomplemented
74#17986567C2212yescomplemented
75#17986562C2212yescomplemented
76#17986557C2214yes—
77#17986556C2211yescharacteristic, complemented
78#17986554C2212yescomplemented
79#17986554C2212yescomplemented
80#17986553C2218yescomplemented
81#17986553C2214yescomplemented
82#17986552C2212yescomplemented
83#17986550C2212yescomplemented
84#17986549C2211yescharacteristic, complemented
85#17986547C2212yescomplemented
86#17986546C2214yescomplemented
87#17986545C2212yescomplemented
88#17986536C2214yescomplemented
89#17986536C2214yescomplemented
90#17986535C2214yescomplemented
91#17986534C2214yescomplemented
92#17986531C2218yescomplemented
93#17986531C2214yescomplemented
94#17986531C2214yescomplemented
95#17986530C2214yescomplemented
96#17986529C2218yescomplemented
97#17986529C2218yescomplemented
98#17986528C2214yescomplemented
99#17986527C2218yescomplemented
100#17986527C2218yescomplemented
101#17986512C2214yes—
102#17986512C2214yescomplemented
103#17986511C2212yescomplemented
104#17986510C2212yescomplemented
105#17986509C2214yes—
106#17986509C2214yescomplemented
107#17986508C2218yes—
108#17986508C2218yescomplemented
109#17986508C2218yescomplemented
110#17986507C2214yescomplemented
111#17986506C2212yescomplemented
112#17986505C2214yescomplemented
113#123×D71C2214yes—
114C22⋊Q8×D71C2214yescomplemented
115#121×D71C2214yescomplemented
116#120×D71C2214yes—
117#17986481C2214yescomplemented
118#17986478C2218yescomplemented
119#17986478C2214yescomplemented
120#17986475C2214yescomplemented
121#17986471C2218yes—
122#17986471C2214yescomplemented
123#41×Dic71C2212yescomplemented
124C4×#11765866C2214yescomplemented
125C4×#11765865C2212yescomplemented
126C4×#11765865C2214yescomplemented
127C4×#11765865C2218yescomplemented
128#17986467C2212yescomplemented
129#17986467C2214yescomplemented
130C4×#11765864C2214yescomplemented
131C4×D4×D71C2218yescomplemented
132C2×#14556087C2211yescharacteristic, complemented
133C2×#14556086C2212yes—
134C2×#14556085C2211yescharacteristic
135C2×#14556085C2211yescharacteristic
136C2×#14556085C2214yescomplemented
137C2×#14556084C2212yescomplemented
138#117×D71C2212yes—
139#117×D71C2214yescomplemented
140#117×D71C2214yescomplemented
141#117×D71C2214yescomplemented
142#117×D71C2214yescomplemented
143#117×D71C2214yescomplemented
144C2×C4⋊C4×D71C2212yescomplemented
145C2×C22⋊C4×D71C2212yes—
146C2×C42×D71C2211yescharacteristic, complemented
147C2×C42×D71C2211yescharacteristic, complemented
148#542×C71C2214yescomplemented
149#541×C71C2212yescomplemented
150#540×C71C2212yescomplemented
151#539×C71C2214yescomplemented
152#538×C71C2214yescomplemented
153#533×C71C2211yescharacteristic, complemented
154#532×C71C2211yescharacteristic, complemented
155#529×C71C2218yescomplemented
156#525×C71C2212yescomplemented
157C4×#41×C71C2212yescomplemented
158C2×#117×C71C2211yescharacteristic, complemented
159C24×D71C2311yescharacteristic
160C2×#11765866C2312yes—
161C2×#11765866C2314yes—
162C2×#11765865C2314yes—
163C2×#11765865C2312yes—
164C2×#11765865C2318yes—
165C2×#11765864C2312yes—
166C2×#11765864C2314yes—
167C2×#11765864C2314yes—
168#41×D71—216no—
169C2×Q8×D71C2312yes—
170C2×D4×D71C2312yes—
171C2×D4×D71C2314yes—
172C2×D4×D71C2318yes—
173C23×Dic71C2311yescharacteristic
174C22×C4×D71—28no—
175C22×C4×D71C2311yescharacteristic
176C22×C4×D71C2311yescharacteristic
177C22×C4×D71C2314yes—
178C22×C4×D71C2314yes—
179C22×C4×D71C2311yescharacteristic
180C22×C4×D71C2314yes—
181C22×C4×D71C2312yes—
182C22×C4×D71C2312yes—
183C22×C4×D71C2311yescharacteristic
184#14556128C2311yescharacteristic, complemented
185#14556128C2312yescomplemented
186#14556127C2314yescomplemented
187#14556127C2318yescomplemented
188#14556126C2312yescomplemented
189#14556126C2318yescomplemented
190#14556125C2311yescharacteristic, complemented
191#14556124C2312yescomplemented
192#14556123C2318yescomplemented
193#14556123C2318yescomplemented
194#14556123C2318yescomplemented
195#14556123C2318yescomplemented
196#14556121C2318yes—
197#14556121C2318yes—
198#14556121C2318yes—
199#14556121C2318yescomplemented
200#14556121C2318yescomplemented
201#14556121C2318yescomplemented
202#14556120C2312yescomplemented
203#14556119C2318yescomplemented
204#14556119C2314yescomplemented
205#14556119C2314yescomplemented
206#14556119C2314yescomplemented
207#14556118C2318yescomplemented
208#14556118C2318yescomplemented
209#14556118C2318yescomplemented
210#14556118C2318yescomplemented
211#14556118C2318yescomplemented
212#14556117C2312yescomplemented
213#14556117C2314yescomplemented
214#14556116C2312yescomplemented
215#14556115C2318yes—
216#14556115C2312yescomplemented
217#14556115C2314yescomplemented
218#14556114C2318yes—
219#14556114C2318yes—
220#14556114C2318yescomplemented
221#14556113C2318yes—
222#14556113C2318yes—
223#14556113C2318yes—
224#14556113C2318yes—
225#14556113C2318yescomplemented
226#14556112C2314yes—
227#14556112C2318yescomplemented
228#14556111C2314yes—
229#14556110C2318yes—
230#14556110C2318yes—
231#14556110C2318yes—
232#14556110C2318yes—
233#14556110C2318yes—
234#14556110C2318yes—
235#14556110C2318yescomplemented
236#14556109C2318yes—
237#14556109C2314yes—
238#14556108C2318yes—
239#14556108C2314yes—
240#14556108C2314yes—
241#14556108C2318yescomplemented
242#14556107C2314yes—
243#14556107C2314yes—
244#14556106C2318yes—
245#14556106C2318yes—
246#14556106C2318yes—
247#14556106C2318yes—
248#14556106C2318yescomplemented
249#14556106C2318yescomplemented
250#14556105C2318yes—
251#14556105C2318yes—
252#14556105C2318yescomplemented
253#14556105C2318yescomplemented
254#14556104C2318yes—
255#14556104C2314yes—
256#14556104C2314yes—
257#14556103C2314yes—
258#14556103C2314yes—
259#14556102C2314yes—
260#14556102C2314yes—
261#14556101C2318yes—
262#14556101C2318yes—
263#14556101C2318yes—
264#14556101C2318yescomplemented
265#14556100C2318yes—
266#14556100C2318yes—
267#14556100C2318yes—
268#14556100C2318yescomplemented
269#14556099C2318yes—
270#14556099C2314yes—
271#14556099C2314yes—
272#14556098C2318yes—
273#14556098C2318yes—
274#14556098C2314yes—
275#14556097C2314yes—
276#14556096C2318yes—
277#14556096C2318yes—
278#14556096C2314yes—
279Q8×Dic71C2314yescomplemented
280Q8×Dic71C2314yescomplemented
281C4×Dic142C2314yescomplemented
282C4×Dic142C2318yescomplemented
283C4×Dic142C2318yescomplemented
284C4×Dic142C2314yescomplemented
285C4×Dic142C2318yescomplemented
286#14556093C2314yescomplemented
287#14556093C2314yescomplemented
288#14556093C2318yescomplemented
289C4×D284C2318yes—
290C4×D284C2318yes—
291C4×D284C2318yes—
292C4×D284C2314yescomplemented
293C4×D284C2314yescomplemented
294D4×Dic71C2318yes—
295D4×Dic71C2318yes—
296D4×Dic71C2314yescomplemented
297D4×Dic71C2314yescomplemented
298#14556090C2318yes—
299#14556090C2318yes—
300#14556090C2318yes—
301#14556090C2314yescomplemented
302#14556090C2314yescomplemented
303C4×C22⋊D71C2318yes—
304C4×C22⋊D71C2318yes—
305C4×C22⋊D71C2318yes—
306C4×C22⋊D71C2318yes—
307C4×C22⋊D71C2318yes—
308C4×C22⋊D71C2318yescomplemented
309C4×C22⋊D71C2318yescomplemented
310C4×C22⋊D71C2318yescomplemented
311(C22⋊D71)⋊C4C2318yes—
312(C22⋊D71)⋊C4C2318yes—
313(C22⋊D71)⋊C4C2318yes—
314(C22⋊D71)⋊C4C2318yes—
315(C22⋊D71)⋊C4C2318yes—
316(C22⋊D71)⋊C4C2318yescomplemented
317#14556087C2314yes—
318#14556087C2312yes—
319#14556087C2312yes—
320#14556087C2312yes—
321#14556087C2318yescomplemented
322#14556087C2314yescomplemented
323#14556086C2314yes—
324#14556086C2314yes—
325#14556086C2314yes—
326#14556086C2314yes—
327#14556086C2318yes—
328#14556086C2314yes—
329#14556086C2314yes—
330#14556086C2314yes—
331#14556086C2318yescomplemented
332#14556085C2312yes—
333#14556085C2312yes—
334#14556085C2318yes—
335#14556085C2318yes—
336#14556085C2314yes—
337#14556085C2312yes—
338#14556085C2312yes—
339#14556085C2314yes—
340#14556085C2314yes—
341#14556085C2318yescomplemented
342#14556085C2318yescomplemented
343#14556085C2314yescomplemented
344#14556085C2314yescomplemented
345#14556084C2314yes—
346#14556084C2314yes—
347#14556084C2314yes—
348#14556084C2314yes—
349#14556084C2314yes—
350#14556084C2318yescomplemented
351#14556084C2318yescomplemented
352C2×C4⋊Dic71C2312yes—
353C2×Dic71⋊C4C2312yes—
354C2×Dic71⋊C4C2312yes—
355C2×Dic71⋊C4C2318yescomplemented
356C4⋊C4×D71C2314yes—
357C4⋊C4×D71C2314yes—
358C4⋊C4×D71C2314yes—
359C4⋊C4×D71C2318yes—
360C4⋊C4×D71C2314yes—
361C4⋊C4×D71C2314yes—
362C4⋊C4×D71C2318yescomplemented
363C2×C22⋊Dic71C2312yes—
364C2×(C2×D71)⋊C4C2312yes—
365C2×(C2×D71)⋊C4C2318yes—
366C2×(C2×D71)⋊C4C2312yes—
367C22⋊C4×D71C2314yes—
368C22⋊C4×D71C2314yes—
369C22⋊C4×D71C2314yes—
370C22⋊C4×D71C2314yes—
371C22⋊C4×D71C2318yes—
372C22⋊C4×D71C2314yes—
373C22⋊C4×D71C2318yes—
374C22⋊C4×D71C2318yes—
375C2×C4×Dic71C2312yes—
376C2×C4×Dic71C2312yes—
377C2×C4×Dic71C2311yescharacteristic
378C2×C4×Dic71C2311yescharacteristic
379C2×C4×Dic71C2314yescomplemented
380C42×D71C2312yes—
381C42×D71C2314yes—
382C42×D71C2312yes—
383C42×D71C2312yes—
384C42×D71C2314yes—
385C42×D71C2312yes—
386C42×D71C2314yes—
387C42×D71C2314yescomplemented
388C42×D71C2314yescomplemented
389C2×#41×C71C2312yes—
390C23×C4×C71C2311yescharacteristic
391C4⋊Q8×C71C2311yescharacteristic, complemented
392C4⋊Q8×C71C2312yescomplemented
393#127×C71C2311yescharacteristic, complemented
394#126×C71C2318yes—
395#126×C71C2318yescomplemented
396#125×C71C2312yescomplemented
397#125×C71C2318yescomplemented
398#124×C71C2318yes—
399#124×C71C2312yescomplemented
400#123×C71C2314yes—
401#123×C71C2318yes—
402#123×C71C2318yescomplemented
403C22⋊Q8×C71C2314yes—
404C22⋊Q8×C71C2314yes—
405C22⋊Q8×C71C2318yescomplemented
406#121×C71C2314yes—
407#121×C71C2314yes—
408#121×C71C2318yes—
409#120×C71C2314yes—
410C4×Q8×C71C2314yescomplemented
411C4×Q8×C71C2314yescomplemented
412C4×D4×C71C2318yes—
413C4×D4×C71C2318yes—
414C4×D4×C71C2314yescomplemented
415C4×D4×C71C2314yescomplemented
416#117×C71C2312yes—
417#117×C71C2312yes—
418#117×C71C2314yes—
419#117×C71C2312yes—
420#117×C71C2314yescomplemented
421C2×C4⋊C4×C71C2312yes—
422C2×C22⋊C4×C71C2312yes—
423C2×C42×C71C2311yescharacteristic
424C2×C42×C71C2311yescharacteristic
425C2×C42×C71C2314yescomplemented
426C23×D71—24no—
427C23×D71—44no—
428C23×D71C2411yescharacteristic
429C23×D71C2414yes—
430C23×D71C2414yes—
431C23×D71C2411yescharacteristic
432#11765866—28no—
433#11765866—48no—
434#11765865—28no—
435#11765865—216no—
436#11765865—416no—
437#11765864—216no—
438#11765864—28no—
439#11765864—48no—
440C2×Dic142C2414yes—
441C2×Dic142C2412yes—
442C2×Dic142C2414yes—
443C2×Dic142C2418yes—
444Q8×D71—28no—
445C2×D284C2414yes—
446C2×D284C2418yes—
447C2×D284C2412yes—
448C2×D284C2414yes—
449C2×C22⋊D71C2414yes—
450C2×C22⋊D71C2418yes—
451C2×C22⋊D71C2414yes—
452C2×C22⋊D71C2414yes—
453C2×C22⋊D71C2418yes—
454C2×C22⋊D71C2418yes—
455D4×D71—216no—
456D4×D71—28no—
457D4×D71—416no—
458C22×Dic71—24no—
459C22×Dic71C2411yescharacteristic
460C22×Dic71C2414yes—
461C22×Dic71C2414yes—
462C22×Dic71C2412yes—
463C22×Dic71C2412yes—
464C22×Dic71C2418yes—
465C22×Dic71C2411yescharacteristic
466C2×C4×D71—24no—
467C2×C4×D71—24no—
468C2×C4×D71—24no—
469C2×C4×D71—216no—
470C2×C4×D71—216no—
471C2×C4×D71—216no—
472C2×C4×D71—44no—
473C2×C4×D71—44no—
474C2×C4×D71#4118yescomplemented
475C2×C4×D71C2412yes—
476C2×C4×D71C2412yes—
477C2×C4×D71C2414yes—
478C2×C4×D71C2414yes—
479C2×C4×D71C2414yes—
480C2×C4×D71C2412yes—
481C2×C4×D71C2414yes—
482C2×C4×D71C2414yes—
483C2×C4×D71C2414yes—
484C2×C4×D71C2412yes—
485C2×C4×D71C2412yes—
486C2×C4×D71C2414yes—
487C2×C4×D71C2412yes—
488C2×C4×D71C2418yes—
489C2×C4×D71C2418yes—
490C2×C4×D71C2418yes—
491C2×C4×D71C2412yes—
492C2×C4×D71C2412yes—
493C4⋊Dic71C2414yes—
494C4⋊Dic71C2414yes—
495C4⋊Dic71C2414yes—
496C4⋊Dic71C2418yes—
497C4⋊Dic71C2418yes—
498C4⋊Dic71C2414yes—
499C4⋊Dic71C2414yes—
500C4⋊Dic71C2418yes—
501Dic71⋊C4C2414yes—
502Dic71⋊C4C2414yes—
503Dic71⋊C4C2414yes—
504Dic71⋊C4C2414yes—
505Dic71⋊C4C2418yes—
506Dic71⋊C4C2418yes—
507Dic71⋊C4C2418yes—
508Dic71⋊C4C2418yes—
509Dic71⋊C4C2418yes—
510Dic71⋊C4C2418yes—
511Dic71⋊C4C2418yes—
512Dic71⋊C4C2418yes—
513Dic71⋊C4C2418yes—
514C22⋊Dic71C2414yes—
515C22⋊Dic71C2414yes—
516C22⋊Dic71C2414yes—
517C22⋊Dic71C2418yes—
518C22⋊Dic71C2418yes—
519C22⋊Dic71C2418yes—
520C22⋊Dic71C2418yes—
521(C2×D71)⋊C4C2414yes—
522(C2×D71)⋊C4C2414yes—
523(C2×D71)⋊C4C2414yes—
524(C2×D71)⋊C4C2418yes—
525(C2×D71)⋊C4C2414yes—
526(C2×D71)⋊C4C2418yes—
527(C2×D71)⋊C4C2418yes—
528(C2×D71)⋊C4C2418yes—
529(C2×D71)⋊C4C2418yes—
530(C2×D71)⋊C4C2418yes—
531(C2×D71)⋊C4C2418yes—
532(C2×D71)⋊C4C2418yes—
533(C2×D71)⋊C4C2418yes—
534C4×Dic71C2411yescharacteristic
535C4×Dic71C2411yescharacteristic
536C4×Dic71C2412yes—
537C4×Dic71C2414yes—
538C4×Dic71C2412yes—
539C4×Dic71C2414yes—
540C4×Dic71C2412yes—
541C4×Dic71C2412yes—
542C4×Dic71C2412yes—
543C4×Dic71C2412yes—
544C4×Dic71C2412yes—
545C4×Dic71C2414yes—
546C4×Dic71C2418yes—
547C4×Dic71C2418yes—
548C4×Dic71C2418yes—
549C4×Dic71C2418yes—
550C24×C71C2411yescharacteristic
551#41×C71—28no—
552C2×Q8×C71C2412yes—
553C2×Q8×C71C2414yes—
554C2×D4×C71C2414yes—
555C2×D4×C71C2412yes—
556C2×D4×C71C2418yes—
557C2×D4×C71C2414yes—
558C22×C4×C71—24no—
559C22×C4×C71C2411yescharacteristic
560C22×C4×C71C2412yes—
561C22×C4×C71C2412yes—
562C22×C4×C71C2414yes—
563C22×C4×C71C2412yes—
564C22×C4×C71C2412yes—
565C22×C4×C71C2418yes—
566C22×C4×C71C2411yescharacteristic
567C4⋊C4×C71C2414yes—
568C4⋊C4×C71C2414yes—
569C4⋊C4×C71C2414yes—
570C4⋊C4×C71C2418yes—
571C4⋊C4×C71C2418yes—
572C4⋊C4×C71C2414yes—
573C4⋊C4×C71C2418yes—
574C4⋊C4×C71C2414yes—
575C22⋊C4×C71C2414yes—
576C22⋊C4×C71C2414yes—
577C22⋊C4×C71C2414yes—
578C22⋊C4×C71C2418yes—
579C22⋊C4×C71C2418yes—
580C22⋊C4×C71C2418yes—
581C22⋊C4×C71C2418yes—
582C42×C71C2412yes—
583C42×C71C2412yes—
584C42×C71C2412yes—
585C42×C71C2411yescharacteristic
586C42×C71C2411yescharacteristic
587C42×C71C2414yes—
588C42×C71C2418yes—
589C23×C71—22no—
590C23×C71—42no—
591C23×C71C2512yes—
592C23×C71C2514yes—
593C23×C71C2511yescharacteristic
594C22×D71—22no—
595C22×D71—24no—
596C22×D71—28no—
597C22×D71—28no—
598C22×D71—28no—
599C22×D71—44no—
600C22×D71—42no—
601C22×D71—48no—
602C22×D71—416no—
603C22×D71C2×#4114yes—
604C22×D71C2514yes—
605C22×D71C2512yes—
606C22×D71C2512yes—
607Q8×C71—24no—
608Q8×C71—44no—
609D4×C71—28no—
610D4×C71—24no—
611D4×C71—48no—
612D4×C71—44no—
613C2×C4×C71—22no—
614C2×C4×C71—24no—
615C2×C4×C71—24no—
616C2×C4×C71—28no—
617C2×C4×C71—42no—
618C2×C4×C71—42no—
619C2×C4×C71—48no—
620C2×C4×C71C2×#4114yes—
621C2×C4×C71C2514yes—
622C2×C4×C71C2512yes—
623C2×C4×C71C2514yes—
624C2×C4×C71C2518yes—
625C2×C4×C71C2512yes—
626C2×C4×C71C2512yes—
627C2×C4×C71C2511yescharacteristic
628C2×C4×C71C2511yescharacteristic
629C22⋊D71—28no—
630C22⋊D71—28no—
631C22⋊D71—216no—
632C22⋊D71—28no—
633C22⋊D71—48no—
634C22⋊D71—48no—
635C2×Dic71—22no—
636C2×Dic71—28no—
637C2×Dic71—28no—
638C2×Dic71—42no—
639C2×Dic71—42no—
640C2×Dic71—48no—
641C2×Dic71C2×#4114yes—
642C2×Dic71C2512yes—
643C2×Dic71C2512yes—
644C2×Dic71C2512yes—
645C2×Dic71C2514yes—
646C2×Dic71C2514yes—
647C2×Dic71C2518yes—
648C2×Dic71C2512yes—
649D284—28no—
650D284—216no—
651D284—24no—
652D284—44no—
653C4×D71—28no—
654C4×D71—28no—
655C4×D71—24no—
656C4×D71—28no—
657C4×D71—24no—
658C4×D71—24no—
659C4×D71—24no—
660C4×D71—28no—
661C4×D71—28no—
662C4×D71—28no—
663C4×D71—44no—
664C4×D71—42no—
665C4×D71—42no—
666C4×D71—48no—
667C4×D71—48no—
668C4×D71—48no—
669C4×D71C2×#4118yes—
670C4×D71C2×#4118yes—
671Dic142—24no—
672Dic142—28no—
673Dic142—44no—
674Dic142—48no—
675C22×C71—22no—
676C22×C71—22no—
677C22×C71—24no—
678C22×C71—28no—
679C22×C71—24no—
680C22×C71—44no—
681C22×C71C22×#4112yes—
682C22×C71C2611yescharacteristic
683C2×D71—28no—
684C2×D71—22no—
685C2×D71—22no—
686C2×D71—24no—
687C2×D71—24no—
688C2×D71—28no—
689C2×D71—44no—
690C2×D71—416no—
691C2×D71—88no—
692C2×D71C22×#4114yes—
693C2×D71#58514yes—
694C4×C71—24no—
695C4×C71—22no—
696C4×C71—22no—
697C4×C71—28no—
698C4×C71—24no—
699C4×C71—22no—
700C4×C71C22×#4112yes—
701C4×C71C22×#4112yes—
702Dic71—24no—
703Dic71—22no—
704Dic71—24no—
705Dic71—28no—
706Dic71—22no—
707Dic71—22no—
708Dic71C22×#4114yes—
709#62814—711nomaximal, Sylow
710C2×C71—22no—
711C2×C71—42no—
712C2×C71—44no—
713C2×C71C23×#4111yescharacteristic
714C2×C71C2×#58512yes—
715D71—24no—
716D71—24no—
717D71—44no—
718#3495—714no—
719#3495—714no—
720#3494—714no—
721#3494—714no—
722#3493—714no—
723#3492—714no—
724#3491—714no—
725#3490—714no—
726#3475—718no—
727#3475—718no—
728#3458—711no—
729#3455—712no—
730#3455—711no—
731#3455D7111yescharacteristic, complemented
732#3449—711no—
733#3444—711no—
734#3444—711no—
735#3444—712no—
736C2×#525—712no—
737#3428—712no—
738C22×#117—711no—
739C71#6281411yescharacteristic, complemented, Sylow
740C22×#41—712no—
741C24×C4—711no—
742#556—718no—
743#556—718no—
744#555—718no—
745#555—718no—
746#554—718no—
747#554—718no—
748#553—718no—
749#553—718no—
750#553—718no—
751#553—718no—
752#552—718no—
753#552—718no—
754#552—718no—
755#552—718no—
756#552—718no—
757#552—718no—
758#552—718no—
759#552—718no—
760#551—718no—
761#551—718no—
762#551—718no—
763#551—718no—
764#551—718no—
765#551—718no—
766#551—718no—
767#551—718no—
768#547—718no—
769#547—718no—
770#546—718no—
771#546—718no—
772#546—718no—
773#546—718no—
774#544—714no—
775#544—714no—
776#544—714no—
777#543—714no—
778#542—714no—
779#542—714no—
780#542—714no—
781#542C2×D7114yescomplemented
782#541—714no—
783#541—712no—
784#541C2×D7112yescomplemented
785#540—714no—
786#540—712no—
787#540C2×D7112yescomplemented
788#539—718no—
789#539—714no—
790#539C2×D7114yescomplemented
791#538—718no—
792#538—714no—
793#538C2×D7114yescomplemented
794#537—714no—
795#536—712no—
796#536—712no—
797#535—712no—
798#535—712no—
799#534—714no—
800#533—712no—
801#533—712no—
802#533—714no—
803#533—718no—
804#533—712no—
805#533—711no—
806#533C2×D7111yescharacteristic, complemented
807#532—712no—
808#532—712no—
809#532—712no—
810#532—714no—
811#532—711no—
812#532C2×D7111yescharacteristic, complemented
813#529—714no—
814#529—714no—
815#529—714no—
816#529—714no—
817#529—714no—
818#529—714no—
819#529—718no—
820#529—718no—
821#529—718no—
822#529—714no—
823#529—714no—
824#529—718no—
825#529—718no—
826#529C2×D7118yescomplemented
827#525—712no—
828#525—712no—
829#525—714no—
830#525—714no—
831#525—714no—
832#525—714no—
833#525—714no—
834#525—714no—
835#525—718no—
836#525—718no—
837#525—718no—
838#525—712no—
839#525C2×D7112yescomplemented
840C2×#123—714no—
841C2×C22⋊Q8—714no—
842C2×#121—714no—
843C2×#120—714no—
844#520—714no—
845#520—718no—
846#520—714no—
847#519—714no—
848#518—718no—
849#518—714no—
850C4×#41—712no—
851C4×#41—714no—
852C4×#41—714no—
853C4×#41—712no—
854C4×#41—714no—
855C4×#41—712no—
856C4×#41—714no—
857C4×#41—718no—
858C4×#41C2×D7112yescomplemented
859C2×C4×D4—718no—
860C2×#117—711no—
861C2×#117—714no—
862C2×#117—714no—
863C2×#117—714no—
864C2×#117—714no—
865C2×#117—712no—
866C2×#117—714no—
867C2×#117—712no—
868C2×#117—712no—
869C2×#117—711no—
870C2×#117—711no—
871C2×#117—714no—
872C2×#117C2×D7111yescharacteristic, complemented
873C22×C4⋊C4—712no—
874C22×C22⋊C4—712no—
875C22×C42—711no—
876C22×C42—711no—
877C25—711no—
878C2×#41—714no—
879C2×#41—712no—
880C2×#41—714no—
881C2×#41—712no—
882C2×#41—714no—
883C2×#41—718no—
884C2×#41—714no—
885C2×#41—712no—
886C2×#41—14216no—
887C2×#41C22×D7112yes—
888C22×Q8—712no—
889C22×D4—718no—
890C22×D4—714no—
891C22×D4—712no—
892C23×C4—712no—
893C23×C4—712no—
894C23×C4—711no—
895C23×C4—711no—
896C23×C4—711no—
897C23×C4—714no—
898C23×C4—714no—
899C23×C4—714no—
900C23×C4—711no—
901C23×C4—711no—
902C23×C4—1428no—
903C23×C4C22×D7111yescharacteristic
904C4⋊Q8—712no—
905C4⋊Q8—718no—
906C4⋊Q8—714no—
907C4⋊Q8—718no—
908C4⋊Q8—711no—
909C4⋊Q8—712no—
910C4⋊Q8C22×D7112yescomplemented
911C4⋊Q8C22×D7111yescharacteristic, complemented
912#127—712no—
913#127—711no—
914#127C22×D7111yescharacteristic, complemented
915#126—718no—
916#126—718no—
917#126—718no—
918#126—718no—
919#126—718no—
920#126—718no—
921#126—718no—
922#126—718no—
923#126—718no—
924#126—718no—
925#126C22×D7118yes—
926#126C22×D7118yescomplemented
927#125—714no—
928#125—718no—
929#125—714no—
930#125—714no—
931#125—718no—
932#125—718no—
933#125—718no—
934#125—718no—
935#125—718no—
936#125—712no—
937#125C22×D7112yescomplemented
938#125C22×D7118yescomplemented
939#124—712no—
940#124—714no—
941#124—712no—
942#124—714no—
943#124—718no—
944#124—718no—
945#124—718no—
946#124—718no—
947#124—712no—
948#124C22×D7118yes—
949#124C22×D7112yescomplemented
950#123—714no—
951#123—718no—
952#123—714no—
953#123—718no—
954#123—718no—
955#123—718no—
956#123—718no—
957#123—718no—
958#123—714no—
959#123—718no—
960#123—718no—
961#123—718no—
962#123—718no—
963#123—718no—
964#123—718no—
965#123—718no—
966#123—718no—
967#123C22×D7114yes—
968#123C22×D7118yes—
969#123C22×D7118yescomplemented
970C22⋊Q8—714no—
971C22⋊Q8—714no—
972C22⋊Q8—718no—
973C22⋊Q8—714no—
974C22⋊Q8—714no—
975C22⋊Q8—714no—
976C22⋊Q8—718no—
977C22⋊Q8—718no—
978C22⋊Q8—714no—
979C22⋊Q8—718no—
980C22⋊Q8—718no—
981C22⋊Q8—718no—
982C22⋊Q8—718no—
983C22⋊Q8—718no—
984C22⋊Q8—718no—
985C22⋊Q8—718no—
986C22⋊Q8—718no—
987C22⋊Q8—718no—
988C22⋊Q8—718no—
989C22⋊Q8C22×D7114yes—
990C22⋊Q8C22×D7114yes—
991C22⋊Q8C22×D7118yescomplemented
992#121—714no—
993#121—718no—
994#121—718no—
995#121—714no—
996#121—718no—
997#121—718no—
998#121—718no—
999#121—714no—
1000#121—714no—
1001#121—714no—
1002#121—714no—
1003#121—718no—
1004#121—718no—
1005#121—718no—
1006#121—718no—
1007#121C22×D7114yes—
1008#121C22×D7114yes—
1009#121C22×D7118yes—
1010#120—714no—
1011#120—714no—
1012#120—718no—
1013#120—718no—
1014#120—714no—
1015#120—718no—
1016#120—718no—
1017#120C22×D7114yes—
1018C4×Q8—714no—
1019C4×Q8—714no—
1020C4×Q8—714no—
1021C4×Q8—718no—
1022C4×Q8—714no—
1023C4×Q8—714no—
1024C4×Q8—718no—
1025C4×Q8—714no—
1026C4×Q8—718no—
1027C4×Q8—718no—
1028C4×Q8C22×D7114yescomplemented
1029C4×Q8C22×D7114yescomplemented
1030C4×D4—718no—
1031C4×D4—718no—
1032C4×D4—714no—
1033C4×D4—714no—
1034C4×D4—718no—
1035C4×D4—718no—
1036C4×D4—718no—
1037C4×D4—718no—
1038C4×D4—718no—
1039C4×D4—718no—
1040C4×D4—718no—
1041C4×D4—718no—
1042C4×D4—718no—
1043C4×D4—714no—
1044C4×D4—718no—
1045C4×D4—718no—
1046C4×D4—714no—
1047C4×D4—718no—
1048C4×D4—718no—
1049C4×D4—718no—
1050C4×D4—718no—
1051C4×D4—718no—
1052C4×D4—718no—
1053C4×D4—718no—
1054C4×D4—714no—
1055C4×D4—718no—
1056C4×D4—714no—
1057C4×D4—718no—
1058C4×D4C22×D7118yes—
1059C4×D4C22×D7118yes—
1060C4×D4C22×D7114yescomplemented
1061C4×D4C22×D7114yescomplemented
1062#117—712no—
1063#117—712no—
1064#117—714no—
1065#117—712no—
1066#117—714no—
1067#117—718no—
1068#117—714no—
1069#117—714no—
1070#117—714no—
1071#117—714no—
1072#117—714no—
1073#117—718no—
1074#117—714no—
1075#117—714no—
1076#117—718no—
1077#117—714no—
1078#117—714no—
1079#117—714no—
1080#117—714no—
1081#117—714no—
1082#117—718no—
1083#117—718no—
1084#117—712no—
1085#117—712no—
1086#117—714no—
1087#117—714no—
1088#117—714no—
1089#117—712no—
1090#117—712no—
1091#117—714no—
1092#117—714no—
1093#117—718no—
1094#117—718no—
1095#117—718no—
1096#117—718no—
1097#117C22×D7114yes—
1098#117C22×D7112yes—
1099#117C22×D7112yes—
1100#117C22×D7112yes—
1101#117C22×D7114yescomplemented
1102C2×C4⋊C4—712no—
1103C2×C4⋊C4—712no—
1104C2×C4⋊C4—712no—
1105C2×C4⋊C4—718no—
1106C2×C4⋊C4—714no—
1107C2×C4⋊C4—714no—
1108C2×C4⋊C4—714no—
1109C2×C4⋊C4—714no—
1110C2×C4⋊C4—714no—
1111C2×C4⋊C4—718no—
1112C2×C4⋊C4—718no—
1113C2×C4⋊C4C22×D7112yes—
1114C2×C22⋊C4—712no—
1115C2×C22⋊C4—712no—
1116C2×C22⋊C4—712no—
1117C2×C22⋊C4—718no—
1118C2×C22⋊C4—714no—
1119C2×C22⋊C4—714no—
1120C2×C22⋊C4—714no—
1121C2×C22⋊C4—714no—
1122C2×C22⋊C4—714no—
1123C2×C22⋊C4—718no—
1124C2×C22⋊C4—718no—
1125C2×C22⋊C4—718no—
1126C2×C22⋊C4C22×D7112yes—
1127C2×C42—711no—
1128C2×C42—712no—
1129C2×C42—712no—
1130C2×C42—711no—
1131C2×C42—714no—
1132C2×C42—712no—
1133C2×C42—712no—
1134C2×C42—714no—
1135C2×C42—712no—
1136C2×C42—712no—
1137C2×C42—714no—
1138C2×C42—714no—
1139C2×C42—714no—
1140C2×C42—714no—
1141C2×C42C22×D7111yescharacteristic
1142C2×C42C22×D7111yescharacteristic
1143C2×C42C22×D7114yescomplemented
1144C24—2844no—
1145C24—711no—
1146C24—714no—
1147C24—714no—
1148C24—711no—
1149C24—1424no—
1150C24C23×D7111yescharacteristic
1151#41—28no—
1152#41—28416no—
1153#41—2848no—
1154#41—2848no—
1155#41—14216no—
1156#41—14216no—
1157#41—1428no—
1158#41—1428no—
1159#41—1428no—
1160C2×Q8—714no—
1161C2×Q8—718no—
1162C2×Q8—714no—
1163C2×Q8—712no—
1164C2×Q8—1428no—
1165C2×Q8C23×D7112yes—
1166C2×Q8C23×D7114yes—
1167C2×D4—28416no—
1168C2×D4—718no—
1169C2×D4—718no—
1170C2×D4—714no—
1171C2×D4—718no—
1172C2×D4—714no—
1173C2×D4—714no—
1174C2×D4—714no—
1175C2×D4—714no—
1176C2×D4—718no—
1177C2×D4—712no—
1178C2×D4—1428no—
1179C2×D4—14216no—
1180C2×D4C23×D7114yes—
1181C2×D4C23×D7112yes—
1182C2×D4C23×D7118yes—
1183C2×D4C23×D7114yes—
1184C22×C4—24no—
1185C22×C4—2844no—
1186C22×C4—2844no—
1187C22×C4—712no—
1188C22×C4—712no—
1189C22×C4—718no—
1190C22×C4—712no—
1191C22×C4—712no—
1192C22×C4—714no—
1193C22×C4—718no—
1194C22×C4—718no—
1195C22×C4—718no—
1196C22×C4—711no—
1197C22×C4—718no—
1198C22×C4—712no—
1199C22×C4—712no—
1200C22×C4—711no—
1201C22×C4—714no—
1202C22×C4—714no—
1203C22×C4—712no—
1204C22×C4—712no—
1205C22×C4—712no—
1206C22×C4—714no—
1207C22×C4—714no—
1208C22×C4—714no—
1209C22×C4—714no—
1210C22×C4—714no—
1211C22×C4—712no—
1212C22×C4—714no—
1213C22×C4—1424no—
1214C22×C4—14216no—
1215C22×C4—14216no—
1216C22×C4—14216no—
1217C22×C4—1424no—
1218C22×C4—1424no—
1219C22×C4—1424no—
1220C22×C4C23×D7111yescharacteristic
1221C22×C4C23×D7112yes—
1222C22×C4C23×D7114yes—
1223C22×C4C23×D7112yes—
1224C22×C4C23×D7112yes—
1225C22×C4C23×D7112yes—
1226C22×C4C23×D7118yes—
1227C22×C4C23×D7111yescharacteristic
1228C4⋊C4—714no—
1229C4⋊C4—714no—
1230C4⋊C4—714no—
1231C4⋊C4—718no—
1232C4⋊C4—714no—
1233C4⋊C4—718no—
1234C4⋊C4—718no—
1235C4⋊C4—718no—
1236C4⋊C4—718no—
1237C4⋊C4—718no—
1238C4⋊C4—718no—
1239C4⋊C4—718no—
1240C4⋊C4—718no—
1241C4⋊C4—714no—
1242C4⋊C4—714no—
1243C4⋊C4—714no—
1244C4⋊C4—718no—
1245C4⋊C4—718no—
1246C4⋊C4—714no—
1247C4⋊C4—718no—
1248C4⋊C4—714no—
1249C4⋊C4C23×D7114yes—
1250C4⋊C4C23×D7114yes—
1251C4⋊C4C23×D7114yes—
1252C4⋊C4C23×D7118yes—
1253C4⋊C4C23×D7118yes—
1254C4⋊C4C23×D7114yes—
1255C4⋊C4C23×D7118yes—
1256C4⋊C4C23×D7114yes—
1257C22⋊C4—714no—
1258C22⋊C4—714no—
1259C22⋊C4—714no—
1260C22⋊C4—718no—
1261C22⋊C4—718no—
1262C22⋊C4—718no—
1263C22⋊C4—718no—
1264C22⋊C4—714no—
1265C22⋊C4—714no—
1266C22⋊C4—714no—
1267C22⋊C4—718no—
1268C22⋊C4—714no—
1269C22⋊C4—718no—
1270C22⋊C4—718no—
1271C22⋊C4—718no—
1272C22⋊C4—718no—
1273C22⋊C4—718no—
1274C22⋊C4—718no—
1275C22⋊C4—718no—
1276C22⋊C4—718no—
1277C22⋊C4C23×D7114yes—
1278C22⋊C4C23×D7114yes—
1279C22⋊C4C23×D7114yes—
1280C22⋊C4C23×D7118yes—
1281C22⋊C4C23×D7118yes—
1282C22⋊C4C23×D7118yes—
1283C22⋊C4C23×D7118yes—
1284C42—712no—
1285C42—712no—
1286C42—714no—
1287C42—712no—
1288C42—712no—
1289C42—712no—
1290C42—714no—
1291C42—712no—
1292C42—718no—
1293C42—718no—
1294C42—718no—
1295C42—718no—
1296C42—711no—
1297C42—711no—
1298C42—712no—
1299C42—714no—
1300C42C23×D7112yes—
1301C42C23×D7111yescharacteristic
1302C42C23×D7111yescharacteristic
1303C42C23×D7118yes—
1304C42C23×D7112yes—
1305C42C23×D7112yes—
1306C42C23×D7114yes—
1307C23—22no—
1308C23—42no—
1309C23—2842no—
1310C23—2844no—
1311C23—2848no—
1312C23—28416no—
1313C23—714no—
1314C23—712no—
1315C23—712no—
1316C23—714no—
1317C23—1428no—
1318C23—1428no—
1319C23—1428no—
1320C23—1424no—
1321C23—1422no—
1322C23C24×D7112yes—
1323C23C24×D7114yes—
1324C23C24×D7111yescharacteristic
1325Q8—24no—
1326Q8—44no—
1327Q8—2848no—
1328Q8—2844no—
1329Q8—1428no—
1330Q8—1424no—
1331D4—28no—
1332D4—24no—
1333D4—48no—
1334D4—44no—
1335D4—2844no—
1336D4—2848no—
1337D4—2848no—
1338D4—14216no—
1339D4—1428no—
1340D4—1428no—
1341D4—14216no—
1342D4—1428no—
1343D4—1428no—
1344D4—1424no—
1345C2×C4—22no—
1346C2×C4—24no—
1347C2×C4—24no—
1348C2×C4—28no—
1349C2×C4—42no—
1350C2×C4—42no—
1351C2×C4—48no—
1352C2×C4—2844no—
1353C2×C4—2842no—
1354C2×C4—2842no—
1355C2×C4—2848no—
1356C2×C4—2848no—
1357C2×C4—2848no—
1358C2×C4—2842no—
1359C2×C4—2842no—
1360C2×C4—2848no—
1361C2×C4—714no—
1362C2×C4—712no—
1363C2×C4—718no—
1364C2×C4—718no—
1365C2×C4—712no—
1366C2×C4—712no—
1367C2×C4—712no—
1368C2×C4—714no—
1369C2×C4—718no—
1370C2×C4—714no—
1371C2×C4—1428no—
1372C2×C4—1428no—
1373C2×C4—1428no—
1374C2×C4—1424no—
1375C2×C4—1424no—
1376C2×C4—1428no—
1377C2×C4—1428no—
1378C2×C4—1428no—
1379C2×C4—1428no—
1380C2×C4—1422no—
1381C2×C4—1424no—
1382C2×C4—1424no—
1383C2×C4—1428no—
1384C2×C4#41×D7114yes—
1385C2×C4C24×D7114yes—
1386C2×C4C24×D7112yes—
1387C2×C4C24×D7114yes—
1388C2×C4C24×D7118yes—
1389C2×C4C24×D7112yes—
1390C2×C4C24×D7112yes—
1391C2×C4C24×D7111yescharacteristic
1392C2×C4C24×D7111yescharacteristic
1393C22—22no—
1394C22—22no—
1395C22—24no—
1396C22—28no—
1397C22—24no—
1398C22—44no—
1399C22—2844no—
1400C22—28416no—
1401C22—5688no—
1402C22—714no—
1403C22—714no—
1404C22—1428no—
1405C22—1424no—
1406C22—1428no—
1407C22—1422no—
1408C22—1422no—
1409C22—1424no—
1410C22C2×#41×D7112yes—
1411C22C25×D7111yescharacteristic
1412C4—22no—
1413C4—24no—
1414C4—24no—
1415C4—28no—
1416C4—22no—
1417C4—22no—
1418C4—714no—
1419C4—1422no—
1420C4—1424no—
1421C4—1422no—
1422C4—1422no—
1423C4—1428no—
1424C4—1424no—
1425C4C2×#41×D7112yes—
1426C4C2×#41×D7112yes—
1427C2—22no—
1428C2—42no—
1429C2—44no—
1430C2—2844no—
1431C2—1424no—
1432C2—1424no—
1433C2C22×#41×D7111yescharacteristic
1434C2#585×D7112yes—
subgroupG/H
centerC2×C4C24×D71
commutator, socle, cosocleC22×C71C26
FrattiniC22C25×D71
FittingC71×#3455C2
hypercenter#3455D71
hypocenterC71#62814
LCSG ▷ C22×C71 ▷ C71
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #22602090C2semidirect
2. #22602084C2semidirect
3. #22602073C2semidirect
4. #22602067C2semidirect
5. #22602055C2semidirect
6. #22602045C2semidirect
7. #22602034C2semidirect
8. #22602026C2semidirect
9. #22601896C2semidirect
10. #22601892C2semidirect
11. #22601743C2semidirect
12. #22601730C2semidirect
13. #22601728C2semidirect
14. #22601667C2semidirect
15. #22601637C2semidirect
16. #22601635C2semidirect
17. #22601633C2semidirect
18. #525×D71C2semidirect
19. #22601539C2semidirect
20. C2×#117×D71C2semidirect
21. C71×#3455C2semidirect
24. #17986718C22semidirect
25. #17986716C22semidirect
26. #17986713C22semidirect
27. #17986711C22semidirect
28. #17986705C22semidirect
29. #17986703C22semidirect
30. #17986700C22semidirect
31. #17986694C22semidirect
32. #17986694C22semidirect
33. #17986692C22semidirect
34. #17986687C22semidirect
35. #17986686C22semidirect
36. #17986685C22semidirect
37. #17986685C22semidirect
38. #17986685C22semidirect
39. #17986683C22semidirect
40. #17986681C22semidirect
41. #17986681C22semidirect
42. #17986679C22semidirect
43. #17986677C22semidirect
44. #17986677C22semidirect
45. #17986676C22semidirect
46. #17986674C22semidirect
47. #17986674C22semidirect
48. #17986674C22semidirect
49. #17986672C22semidirect
50. #17986651C22semidirect
51. #17986647C22semidirect
52. #17986646C22semidirect
53. #17986642C22semidirect
54. #17986641C22semidirect
55. #17986638C22semidirect
56. #17986629C22semidirect
57. #17986628C22semidirect
58. #17986626C22semidirect
60. #17986622C22semidirect
61. #17986620C22semidirect
62. #17986616C22semidirect
63. #17986611C22semidirect
64. #17986609C22semidirect
65. #17986604C22semidirect
66. #17986602C22semidirect
67. #17986596C22semidirect
68. #17986593C22semidirect
69. #17986587C22semidirect
70. #17986584C22semidirect
71. #17986576C22semidirect
72. #17986574C22semidirect
73. #17986569C22semidirect
74. #17986567C22semidirect
75. #17986562C22semidirect
77. #17986556C22semidirect
78. #17986554C22semidirect
79. #17986554C22semidirect
80. #17986553C22semidirect
81. #17986553C22semidirect
82. #17986552C22semidirect
83. #17986550C22semidirect
84. #17986549C22semidirect
85. #17986547C22semidirect
86. #17986546C22semidirect
87. #17986545C22semidirect
88. #17986536C22semidirect
89. #17986536C22semidirect
90. #17986535C22semidirect
91. #17986534C22semidirect
92. #17986531C22semidirect
93. #17986531C22semidirect
94. #17986531C22semidirect
95. #17986530C22semidirect
96. #17986529C22semidirect
97. #17986529C22semidirect
98. #17986528C22semidirect
99. #17986527C22semidirect
100. #17986527C22semidirect
102. #17986512C22semidirect
103. #17986511C22semidirect
104. #17986510C22semidirect
106. #17986509C22semidirect
108. #17986508C22semidirect
109. #17986508C22semidirect
110. #17986507C22semidirect
111. #17986506C22semidirect
112. #17986505C22semidirect
114. C22⋊Q8×D71C22semidirect
115. #121×D71C22semidirect
117. #17986481C22semidirect
118. #17986478C22semidirect
119. #17986478C22semidirect
120. #17986475C22semidirect
122. #17986471C22semidirect
123. #41×Dic71C22semidirect
124. C4×#11765866C22semidirect
125. C4×#11765865C22semidirect
126. C4×#11765865C22semidirect
127. C4×#11765865C22semidirect
128. #17986467C22semidirect
129. #17986467C22semidirect
130. C4×#11765864C22semidirect
131. C4×D4×D71C22semidirect
132. C2×#14556087C22semidirect
136. C2×#14556085C22semidirect
137. C2×#14556084C22semidirect
139. #117×D71C22semidirect
140. #117×D71C22semidirect
141. #117×D71C22semidirect
142. #117×D71C22semidirect
143. #117×D71C22semidirect
144. C2×C4⋊C4×D71C22semidirect
146. C2×C42×D71C22semidirect
147. C2×C42×D71C22semidirect
148. #542×C71C22semidirect
149. #541×C71C22semidirect
150. #540×C71C22semidirect
151. #539×C71C22semidirect
152. #538×C71C22semidirect
153. #533×C71C22semidirect
154. #532×C71C22semidirect
155. #529×C71C22semidirect
156. #525×C71C22semidirect
157. C4×#41×C71C22semidirect
158. C2×#117×C71C22semidirect
184. #14556128C23semidirect
185. #14556128C23semidirect
186. #14556127C23semidirect
187. #14556127C23semidirect
188. #14556126C23semidirect
189. #14556126C23semidirect
190. #14556125C23semidirect
191. #14556124C23semidirect
192. #14556123C23semidirect
193. #14556123C23semidirect
194. #14556123C23semidirect
195. #14556123C23semidirect
199. #14556121C23semidirect
200. #14556121C23semidirect
201. #14556121C23semidirect
202. #14556120C23semidirect
203. #14556119C23semidirect
204. #14556119C23semidirect
205. #14556119C23semidirect
206. #14556119C23semidirect
207. #14556118C23semidirect
208. #14556118C23semidirect
209. #14556118C23semidirect
210. #14556118C23semidirect
211. #14556118C23semidirect
212. #14556117C23semidirect
213. #14556117C23semidirect
214. #14556116C23semidirect
216. #14556115C23semidirect
217. #14556115C23semidirect
220. #14556114C23semidirect
225. #14556113C23semidirect
227. #14556112C23semidirect
235. #14556110C23semidirect
241. #14556108C23semidirect
248. #14556106C23semidirect
249. #14556106C23semidirect
252. #14556105C23semidirect
253. #14556105C23semidirect
264. #14556101C23semidirect
268. #14556100C23semidirect
279. Q8×Dic71C23semidirect
280. Q8×Dic71C23semidirect
281. C4×Dic142C23semidirect
282. C4×Dic142C23semidirect
283. C4×Dic142C23semidirect
284. C4×Dic142C23semidirect
285. C4×Dic142C23semidirect
286. #14556093C23semidirect
287. #14556093C23semidirect
288. #14556093C23semidirect
292. C4×D284C23semidirect
293. C4×D284C23semidirect
296. D4×Dic71C23semidirect
297. D4×Dic71C23semidirect
301. #14556090C23semidirect
302. #14556090C23semidirect
308. C4×C22⋊D71C23semidirect
309. C4×C22⋊D71C23semidirect
310. C4×C22⋊D71C23semidirect
316. (C22⋊D71)⋊C4C23semidirect
321. #14556087C23semidirect
322. #14556087C23semidirect
331. #14556086C23semidirect
341. #14556085C23semidirect
342. #14556085C23semidirect
343. #14556085C23semidirect
344. #14556085C23semidirect
350. #14556084C23semidirect
351. #14556084C23semidirect
355. C2×Dic71⋊C4C23semidirect
362. C4⋊C4×D71C23semidirect
379. C2×C4×Dic71C23semidirect
387. C42×D71C23semidirect
388. C42×D71C23semidirect
391. C4⋊Q8×C71C23semidirect
392. C4⋊Q8×C71C23semidirect
393. #127×C71C23semidirect
395. #126×C71C23semidirect
396. #125×C71C23semidirect
397. #125×C71C23semidirect
399. #124×C71C23semidirect
402. #123×C71C23semidirect
405. C22⋊Q8×C71C23semidirect
410. C4×Q8×C71C23semidirect
411. C4×Q8×C71C23semidirect
414. C4×D4×C71C23semidirect
415. C4×D4×C71C23semidirect
420. #117×C71C23semidirect
425. C2×C42×C71C23semidirect
474. C2×C4×D71#41semidirect
731. #3455D71semidirect
739. C71#62814semidirect
781. #542C2×D71semidirect
784. #541C2×D71semidirect
787. #540C2×D71semidirect
790. #539C2×D71semidirect
793. #538C2×D71semidirect
806. #533C2×D71semidirect
812. #532C2×D71semidirect
826. #529C2×D71semidirect
839. #525C2×D71semidirect
858. C4×#41C2×D71semidirect
872. C2×#117C2×D71semidirect
910. C4⋊Q8C22×D71semidirect
911. C4⋊Q8C22×D71semidirect
914. #127C22×D71semidirect
926. #126C22×D71semidirect
937. #125C22×D71semidirect
938. #125C22×D71semidirect
949. #124C22×D71semidirect
969. #123C22×D71semidirect
991. C22⋊Q8C22×D71semidirect
1028. C4×Q8C22×D71semidirect
1029. C4×Q8C22×D71semidirect
1060. C4×D4C22×D71semidirect
1061. C4×D4C22×D71semidirect
1101. #117C22×D71semidirect
1143. C2×C42C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226020902
#226020842
#226020732
#226020672
#226020552
#226020452
#226020342
#226020262
#226018962
#226018922
#226017432
#226017302
#226017282
#226016672
#226016372
#226016352
#226016332
#525×D712
#226015392
C2×#117×D712
C71×#34552
#6281471