Finite Group Databasebeta

← #27102521

Subgroups — #27102521

Order 12032.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20257704C211yesmaximal, characteristic, complemented
2#20257049C211yesmaximal, characteristic, complemented
3#20255546C211yesmaximal, characteristic, complemented
4#20255411C211yesmaximal, characteristic, complemented
5#20255396C211yesmaximal, characteristic, complemented
6#20255381C211yesmaximal, characteristic, complemented
7#20255339C211yesmaximal, characteristic, complemented
8#20255277C211yesmaximal, characteristic, complemented
9#20255240C211yesmaximal, characteristic, complemented
10#20255202C211yesmaximal, characteristic, complemented
11#20255148C211yesmaximal, characteristic, complemented
12#20255100C211yesmaximal, characteristic, complemented
13#20255075C211yesmaximal, characteristic, complemented
14D4×D376C211yesmaximal, characteristic, complemented
15#20254933C211yesmaximal, characteristic, complemented
16#20254933C211yesmaximal, characteristic, complemented
17#20254888C211yesmaximal, characteristic, complemented
18#20254873C211yesmaximal, characteristic, complemented
19#20254484C211yesmaximal, characteristic, complemented
20#20254440C211yesmaximal, characteristic, complemented
21#20254290C211yesmaximal, characteristic, complemented
22#20254242C211yesmaximal, characteristic, complemented
23#20254155C211yesmaximal, characteristic, complemented
24#20254139C211yesmaximal, characteristic, complemented
25#20253652C211yesmaximal, characteristic, complemented
26#20253589C211yesmaximal, characteristic, complemented
27#20252695C211yesmaximal, characteristic, complemented
28#20252658C211yesmaximal, characteristic, complemented
29#20252610C211yesmaximal, characteristic, complemented
30C2×#15689270C211yesmaximal, characteristic, complemented
31C47×#2977C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C22×#10625350C2211yescharacteristic, complemented
34C2×#13094052C2211yescharacteristic, complemented
35C2×#13094052C2211yescharacteristic, complemented
36C2×#13094046C2211yescharacteristic, complemented
37C2×#13094046C2211yescharacteristic, complemented
38C2×#13094046C2211yescharacteristic, complemented
39C22×#10625325C2211yescharacteristic, complemented
40C22×D376C2211yescharacteristic, complemented
41C22×D376C2211yescharacteristic, complemented
42#15689869—21no—
43#15689861—21no—
44#15689838C2211yescharacteristic, complemented
45#15689819C2211yescharacteristic, complemented
46#15689813C2211yescharacteristic, complemented
47#15689800—21no—
48#15689794C2211yescharacteristic, complemented
49#15689794C2211yescharacteristic, complemented
50#15689794C2211yescharacteristic, complemented
51#15689782C2211yescharacteristic
52#15689782C2211yescharacteristic, complemented
53#15689777C2211yescharacteristic, complemented
54#15689769C2211yescharacteristic, complemented
55#15689769C2211yescharacteristic, complemented
56#15689769C2211yescharacteristic, complemented
57#15689769C2211yescharacteristic, complemented
58#15689765—21no—
59#15689765—21no—
60#15689762—21no—
61D4×D188C2211yescharacteristic
62D4×D188C2211yescharacteristic, complemented
63D4×D188C2211yescharacteristic, complemented
64#15689755—21no—
65#15689755—21no—
66#15689744C2211yescharacteristic, complemented
67#15689728C2211yescharacteristic, complemented
68#15689725—21no—
69#15689709—21no—
70#15689703—21no—
71#15689701C2211yescharacteristic, complemented
72#15689701C2211yescharacteristic, complemented
73#15689692C2211yescharacteristic, complemented
74#15689689—21no—
75#15689688—21no—
76#15689687C2211yescharacteristic, complemented
77#15689683—21no—
78#15689636—21no—
79#15689634C2211yescharacteristic, complemented
80C2×#13093998C2211yescharacteristic, complemented
81C2×#13093998C2211yescharacteristic, complemented
82#121×D47—21no—
83#15689603C2211yescharacteristic, complemented
84#15689512C2211yescharacteristic, complemented
85#15689512C2211yescharacteristic, complemented
86#15689507C2211yescharacteristic, complemented
87#15689500C2211yescharacteristic, complemented
88#15689488C2211yescharacteristic, complemented
89#15689483C2211yescharacteristic, complemented
90#15689478C2211yescharacteristic, complemented
91#15689470C2211yescharacteristic, complemented
92#15689465C2211yescharacteristic, complemented
93#15689459C2211yescharacteristic, complemented
94#15689459C2211yescharacteristic, complemented
95#15689448C2211yescharacteristic, complemented
96#15689448C2211yescharacteristic, complemented
97#15689448C2211yescharacteristic, complemented
98#15689442C2211yescharacteristic, complemented
99#15689437C2211yescharacteristic, complemented
100#15689437C2211yescharacteristic, complemented
101#15689437C2211yescharacteristic, complemented
102#15689437C2211yescharacteristic, complemented
103#15689437C2211yescharacteristic, complemented
104#15689431C2211yescharacteristic, complemented
105#15689424C2211yescharacteristic, complemented
106#15689419C2211yescharacteristic, complemented
107#15689404C2211yescharacteristic, complemented
108#15689376C2211yescharacteristic, complemented
109#15689369C2211yescharacteristic, complemented
110#15689369C2211yescharacteristic, complemented
111#15689369C2211yescharacteristic, complemented
112#15689364C2211yescharacteristic, complemented
113#15689359C2211yescharacteristic, complemented
114#15689359C2211yescharacteristic, complemented
115#15689359C2211yescharacteristic, complemented
116#15689359C2211yescharacteristic, complemented
117#15689359C2211yescharacteristic, complemented
118#15689359C2211yescharacteristic, complemented
119#15689359C2211yescharacteristic, complemented
120#15689359C2211yescharacteristic, complemented
121#15689352C2211yescharacteristic, complemented
122#15689352C2211yescharacteristic, complemented
123#15689352C2211yescharacteristic, complemented
124#15689346C2211yescharacteristic, complemented
125#15689346C2211yescharacteristic, complemented
126#15689339C2211yescharacteristic, complemented
127#15689339C2211yescharacteristic, complemented
128#15689339C2211yescharacteristic, complemented
129#15689339C2211yescharacteristic, complemented
130#15689324C2211yescharacteristic, complemented
131#15689324C2211yescharacteristic, complemented
132#15689319C2211yescharacteristic, complemented
133#15689319C2211yescharacteristic, complemented
134#15689319C2211yescharacteristic, complemented
135#15689319C2211yescharacteristic, complemented
136#15689287C2211yescharacteristic, complemented
137#15689287C2211yescharacteristic, complemented
138#15689287C2211yescharacteristic, complemented
139#15689287C2211yescharacteristic, complemented
140#15689281C2211yescharacteristic, complemented
141#15689276C2211yescharacteristic, complemented
142#15689276C2211yescharacteristic, complemented
143#15689276C2211yescharacteristic, complemented
144#15689276C2211yescharacteristic, complemented
145#15689270C2211yescharacteristic
146#15689270C2211yescharacteristic, complemented
147#15689270C2211yescharacteristic, complemented
148#15689270C2211yescharacteristic, complemented
149#15689270C2211yescharacteristic, complemented
150#15689270C2211yescharacteristic, complemented
151#15689270C2211yescharacteristic, complemented
152#15689270C2211yescharacteristic, complemented
153#15689270C2211yescharacteristic, complemented
154#15689270C2211yescharacteristic, complemented
155#15689270C2211yescharacteristic, complemented
156#15689270C2211yescharacteristic, complemented
157#15689270C2211yescharacteristic, complemented
158#15689270C2211yescharacteristic, complemented
159#15689270C2211yescharacteristic, complemented
160#15689270C2211yescharacteristic, complemented
161#15689264C2211yescharacteristic, complemented
162#15689259C2211yescharacteristic, complemented
163#15689259C2211yescharacteristic, complemented
164#15689259C2211yescharacteristic, complemented
165#15689259C2211yescharacteristic, complemented
166#15689259C2211yescharacteristic, complemented
167#15689259C2211yescharacteristic, complemented
168#15689259C2211yescharacteristic, complemented
169#15689259C2211yescharacteristic, complemented
170#15689259C2211yescharacteristic, complemented
171#15689259C2211yescharacteristic, complemented
172#15689236C2211yescharacteristic, complemented
173#15689225C2211yescharacteristic, complemented
174#15689225C2211yescharacteristic, complemented
175#15689225C2211yescharacteristic, complemented
176C4×Dic188C2211yescharacteristic, complemented
177C4×#10625325C2211yescharacteristic, complemented
178C4×D376C2211yescharacteristic, complemented
179C4×D376C2211yescharacteristic, complemented
180#15689129C2211yescharacteristic, complemented
181#15689125C2211yescharacteristic, complemented
182#15689120C2211yescharacteristic, complemented
183#15689120C2211yescharacteristic, complemented
184#15689120C2211yescharacteristic, complemented
185C2×#13093949C2211yescharacteristic, complemented
186C2×#13093946C2211yescharacteristic, complemented
187C2×#13093946C2211yescharacteristic, complemented
188C47×#525C2211yescharacteristic
189C47×#435C2211yescharacteristic, complemented
190C47×#435C2211yescharacteristic, complemented
191C47×#435C2211yescharacteristic, complemented
192C47×#435C2211yescharacteristic, complemented
193C8×D4×C47C2211yescharacteristic, complemented
194C8×D4×C47C2211yescharacteristic, complemented
195C8×D4×C47C2211yescharacteristic, complemented
196C8×D4×C47C2211yescharacteristic, complemented
197C47×#433C2211yescharacteristic, complemented
198C47×#433C2211yescharacteristic, complemented
199C47×#408C2211yescharacteristic, complemented
200C47×#408C2211yescharacteristic, complemented
201C2×C22⋊C8×C47C2211yescharacteristic, complemented
202C2×C22⋊C8×C47C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354—21no—
206C2×#10625350—21no—
207C2×#10625350—21no—
208C2×#10625350—42no—
209C2×#10625350—42no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625350C2311yescharacteristic
214C2×#10625350C2311yescharacteristic
215C2×#10625350C2311yescharacteristic
216C2×#10625350C2311yescharacteristic
217C2×#10625350C2311yescharacteristic
218C2×#10625352—21no—
219C22×Dic94C2311yescharacteristic
220C22×D188C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C22×D188C2311yescharacteristic
224C22×D188C2311yescharacteristic
225C22×D188C2311yescharacteristic
226C22×C22⋊D47—21no—
227C22×C22⋊D47—21no—
228C22×C22⋊D47—21no—
229C2×D4×D47—21no—
230C2×D4×D47—21no—
231C2×D4×D47—21no—
232C2×D4×D47—21no—
233C2×D4×D47—21no—
234C2×D4×D47—21no—
235C22×C4×D47—21no—
236#13094052—42no—
237#13094052—42no—
238#13094046—42no—
239#13094046—42no—
240#13094046—42no—
241C2×Dic188C2311yescharacteristic
242C2×Dic188C2311yescharacteristic
243C2×#10625325—42no—
244C2×#10625325C2311yescharacteristic
245C2×#10625325C2311yescharacteristic
246C2×#10625325C2311yescharacteristic
247C2×#10625325C2311yescharacteristic
248C2×#10625325C2311yescharacteristic
249C2×#10625325C2311yescharacteristic
250C2×#10625325C2311yescharacteristic
251C2×#10625325C2311yescharacteristic
252C2×#10625325C2311yescharacteristic
253C2×#10625325C2311yescharacteristic
254C2×D376—42no—
255C2×D376—42no—
256C2×D376C2311yescharacteristic
257C2×D376C2311yescharacteristic
258C2×D376C2311yescharacteristic
259C2×D376C2311yescharacteristic
260C2×D376C2311yescharacteristic
261C2×D376C2311yescharacteristic
262C2×D376C2311yescharacteristic
263C2×D376C2311yescharacteristic
264C2×D376C2311yescharacteristic
265C2×D376C2311yescharacteristic
266C2×D376C2311yescharacteristic
267C2×D376C2311yescharacteristic
268#13094024C2311yescharacteristic
269#13094021C2311yescharacteristic
270#13094021C2311yescharacteristic
271#13094021C2311yescharacteristic
272#13094020—21no—
273#13094020—21no—
274#13094020—21no—
275#13094020—21no—
276#13094019—21no—
277#13094019—21no—
278#13094017—21no—
279#13094016C2311yescharacteristic
280#13094014—21no—
281#13094013—21no—
282#13094012C2311yescharacteristic
283#13094012C2311yescharacteristic
284#13094012C2311yescharacteristic
285#13094010—21no—
286#13094010—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009—21no—
294#13094009—21no—
295#13094009—21no—
296#13094008—21no—
297#13094008—21no—
298#13094007—21no—
299#13094006—21no—
300#13094006—21no—
301#13094005—21no—
302#13094004—21no—
303#13094003C2311yescharacteristic
304#13094003C2311yescharacteristic
305#13094003C2311yescharacteristic
306#13094003C2311yescharacteristic
307#13094003C2311yescharacteristic
308#13094002—21no—
309#13094002—21no—
310#13094002—21no—
311#13094000—21no—
312#13094000—21no—
313#13093999—21no—
314#13093999—21no—
315#13093999—21no—
316#13093999—21no—
317#13093999—21no—
318#13093998—21no—
319#13093998—21no—
320#13093998—21no—
321#13093998—21no—
322#13093998C2311yescharacteristic
323#13093998C2311yescharacteristic
324#13093998C2311yescharacteristic
325#13093998C2311yescharacteristic
326#13093998C2311yescharacteristic
327#13093998C2311yescharacteristic
328#13093998C2311yescharacteristic
329#13093998C2311yescharacteristic
330#13093998C2311yescharacteristic
331#13093998C2311yescharacteristic
332#13093998C2311yescharacteristic
333#13093998C2311yescharacteristic
334#13093998C2311yescharacteristic
335#13093998C2311yescharacteristic
336#13093998C2311yescharacteristic
337#13093997—21no—
338#13093997—21no—
339#13093997—21no—
340#13093997—21no—
341#13093997—21no—
342#13093997—21no—
343#13093997—21no—
344#13093997—21no—
345#13093997—21no—
346#13093997—21no—
347#13093997—21no—
348#13093997—21no—
349#13093996—21no—
350#13093996—21no—
351#13093996—21no—
352#13093996—21no—
353#13093996—21no—
354#13093996—21no—
355#13093996—21no—
356#13093995—21no—
357#13093995—21no—
358#13093995—21no—
359#13093994—21no—
360#13093994—21no—
361#13093994—21no—
362#13093994—21no—
363#13093994—21no—
364#13093994—21no—
365#13093994—21no—
366#13093994—21no—
367#13093993—21no—
368#13093992—21no—
369#13093992—21no—
370#13093992—21no—
371#13093992—21no—
372#13093992—21no—
373#13093992—21no—
374C4×Dic94C2311yescharacteristic
375C4×Dic94C2311yescharacteristic
376C4×Dic94C2311yescharacteristic
377C4×D188C2311yescharacteristic
378C4×D188C2311yescharacteristic
379C4×D188C2311yescharacteristic
380C4×D188C2311yescharacteristic
381C4×D188C2311yescharacteristic
382#13093986—21no—
383#13093986—21no—
384#13093986—21no—
385C4×C22⋊D47—21no—
386C4×C22⋊D47—21no—
387(C22⋊D47)⋊C4—21no—
388(C22⋊D47)⋊C4—21no—
389(C22⋊D47)⋊C4—21no—
390(C22⋊D47)⋊C4—21no—
391(C22⋊D47)⋊C4—21no—
392#13093983C2311yescharacteristic
393#13093983C2311yescharacteristic
394#13093982—21no—
395#13093982—21no—
396#13093980—21no—
397C2×C4⋊Dic47C2311yescharacteristic
398C2×C4⋊Dic47C2311yescharacteristic
399C2×C4⋊Dic47C2311yescharacteristic
400C4⋊C4×D47—21no—
401C2×(C2×D47)⋊C4—21no—
402C2×(C2×D47)⋊C4—21no—
403C22⋊C4×D47—21no—
404C22⋊C4×D47—21no—
405C22⋊C4×D47—21no—
406C22⋊C4×D47—21no—
407#13093958C2311yescharacteristic
408#13093958C2311yescharacteristic
409#13093958C2311yescharacteristic
410#13093958C2311yescharacteristic
411#13093958C2311yescharacteristic
412#13093958C2311yescharacteristic
413#13093956C2311yescharacteristic
414#13093956C2311yescharacteristic
415#13093949C2311yescharacteristic
416#13093949C2311yescharacteristic
417#13093949C2311yescharacteristic
418#13093949C2311yescharacteristic
419#13093949C2311yescharacteristic
420#13093949C2311yescharacteristic
421#13093949C2311yescharacteristic
422#13093949C2311yescharacteristic
423#13093949C2311yescharacteristic
424#13093949C2311yescharacteristic
425#13093946C2311yescharacteristic
426#13093946C2311yescharacteristic
427#13093946C2311yescharacteristic
428#13093946C2311yescharacteristic
429#13093946C2311yescharacteristic
430#13093946C2311yescharacteristic
431#13093946C2311yescharacteristic
432#13093946C2311yescharacteristic
433#13093946C2311yescharacteristic
434#13093946C2311yescharacteristic
435#13093946C2311yescharacteristic
436#13093946C2311yescharacteristic
437#13093946C2311yescharacteristic
438#13093946C2311yescharacteristic
439#13093946C2311yescharacteristic
440#13093946C2311yescharacteristic
441#13093946C2311yescharacteristic
442#13093946C2311yescharacteristic
443#13093946C2311yescharacteristic
444#13093946C2311yescharacteristic
445#13093946C2311yescharacteristic
446#13093946C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C23×C4×C47C2311yescharacteristic
449C2×M16×C47C2311yescharacteristic
450C2×M16×C47C2311yescharacteristic
451C22×C8×C47C2311yescharacteristic
452C22×C8×C47C2311yescharacteristic
453C22×C8×C47C2311yescharacteristic
454C22×C8×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C22×C8×C47C2311yescharacteristic
457#123×C47D411yescharacteristic
458#123×C47D411yescharacteristic
459C22⋊Q8×C47D411yescharacteristic
460C22⋊Q8×C47D411yescharacteristic
461#121×C47D411yescharacteristic
462#121×C47D411yescharacteristic
463#120×C47D411yescharacteristic
464#120×C47D411yescharacteristic
465C4×D4×C47C2311yescharacteristic
466C4×D4×C47C2311yescharacteristic
467C4×D4×C47C2311yescharacteristic
468C4×D4×C47C2311yescharacteristic
469#117×C47C2311yescharacteristic
470C4⋊C8×C47C2311yescharacteristic
471C4⋊C8×C47C2311yescharacteristic
472C4⋊C8×C47C2311yescharacteristic
473C4⋊C8×C47C2311yescharacteristic
474C22⋊C8×C47C2311yescharacteristic
475C22⋊C8×C47C2311yescharacteristic
476C22⋊C8×C47C2311yescharacteristic
477C22⋊C8×C47C2311yescharacteristic
478C22⋊C8×C47C2311yescharacteristic
479C22⋊C8×C47C2311yescharacteristic
480C22⋊C8×C47C2311yescharacteristic
481C22⋊C8×C47C2311yescharacteristic
482C22⋊C8×C47C2311yescharacteristic
483C22⋊C8×C47C2311yescharacteristic
484C22⋊C8×C47C2311yescharacteristic
485C22⋊C8×C47C2311yescharacteristic
486#97×C47C2311yescharacteristic
487#97×C47C2311yescharacteristic
488C4×C8×C47C2311yescharacteristic
489C4×C8×C47C2311yescharacteristic
490C24×C47C2×D411yescharacteristic
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47—21no—
497#41×C47—41no—
498#41×C47—41no—
499C2×Q8×C47C2×D411yescharacteristic
500C2×D4×C47C2×D411yescharacteristic
501C2×D4×C47C2×D411yescharacteristic
502C2×D4×C47C2×D411yescharacteristic
503C2×D4×C47C2×D411yescharacteristic
504C2×D4×C47C2×D411yescharacteristic
505C2×D4×C47C2×D411yescharacteristic
506C2×D4×C47C2×D411yescharacteristic
507C22×C4×C47—41no—
508C22×C4×C47—41no—
509C22×C4×C47C2×D411yescharacteristic
510C22×C4×C47C2×D411yescharacteristic
511C22×C4×C47C2×D411yescharacteristic
512C22×C4×C47C2411yescharacteristic
513C22×C4×C47C2411yescharacteristic
514C22×C4×C47C2411yescharacteristic
515C22×C4×C47C2411yescharacteristic
516C22×C4×C47C2411yescharacteristic
517C2×C22⋊D47—21no—
518C2×C22⋊D47—21no—
519C2×C22⋊D47—21no—
520C2×C22⋊D47—21no—
521C2×C22⋊D47—21no—
522C2×C22⋊D47—21no—
523C2×C22⋊D47—21no—
524C2×C22⋊D47—21no—
525C2×C22⋊D47—21no—
526C2×C22⋊D47—21no—
527C2×C22⋊D47—21no—
528C2×C22⋊D47—21no—
529C2×C22⋊D47—21no—
530C2×C22⋊D47—21no—
531C2×C22⋊D47—21no—
532C2×C22⋊D47—21no—
533C2×C22⋊D47—21no—
534C2×C22⋊D47—21no—
535C2×C22⋊D47—21no—
536C2×C22⋊D47—21no—
537C2×C22⋊D47—21no—
538C2×C22⋊D47—21no—
539C2×C22⋊D47—21no—
540C2×C22⋊D47—44no—
541C2×C22⋊D47—82no—
542C2×C22⋊D47—82no—
543C22×Dic47—21no—
544C22×Dic47—21no—
545C22×Dic47—21no—
546C22×Dic47—21no—
547#10625354—44no—
548#10625352—82no—
549D4×D47—44no—
550D4×D47—44no—
551D4×D47—44no—
552D4×D47—82no—
553D4×D47—82no—
554D4×D47—82no—
555#10625350—22no—
556#10625350—22no—
557#10625350—22no—
558#10625350—22no—
559#10625350—22no—
560#10625350—22no—
561#10625350—41no—
562#10625350—41no—
563#10625350—41no—
564#10625350—41no—
565#10625350—41no—
566#10625350—41no—
567#10625350—41no—
568#10625350—41no—
569#10625350—41no—
570#10625350—41no—
571#10625350—44no—
572#10625350—44no—
573C2×D188—22no—
574C2×D188—22no—
575C2×D188—22no—
576C2×D188—21no—
577C2×D188—21no—
578C2×D188—21no—
579C2×D188—21no—
580C2×D188—21no—
581C2×D188—21no—
582C2×D188—21no—
583C2×D188—21no—
584C2×D188—21no—
585C2×D188—21no—
586C2×D188—21no—
587C2×D188—21no—
588C2×D188—41no—
589C2×D188—41no—
590C2×D188—41no—
591C2×D188—41no—
592C2×D188—41no—
593C2×D188—41no—
594C2×D188—41no—
595C2×D188—41no—
596C2×D188—41no—
597C2×D188C2411yescharacteristic
598C2×D188C2411yescharacteristic
599C2×D188C2411yescharacteristic
600C2×D188C2411yescharacteristic
601C2×D188C2411yescharacteristic
602C2×D188C2411yescharacteristic
603C2×D188C2411yescharacteristic
604C2×C4×D47—21no—
605C2×C4×D47—21no—
606C2×C4×D47—21no—
607C2×C4×D47—21no—
608C2×C4×D47—21no—
609C2×C4×D47—21no—
610C2×C4×D47—21no—
611C2×C4×D47—21no—
612C2×C4×D47—21no—
613C2×C4×D47—21no—
614C2×C4×D47—21no—
615C2×C4×D47—21no—
616C2×C4×D47—21no—
617C2×C4×D47—44no—
618C2×Dic94—22no—
619C2×Dic94—21no—
620C2×Dic94—21no—
621C2×Dic94—41no—
622C2×Dic94C2411yescharacteristic
623C2×Dic94C2411yescharacteristic
624C2×Dic94C2411yescharacteristic
625M16×C47—41no—
626M16×C47—41no—
627C2×C8×C47—41no—
628C2×C8×C47—41no—
629C2×C8×C47—41no—
630C2×C8×C47—41no—
631C2×C8×C47—41no—
632C2×C8×C47—41no—
633C2×C8×C47C2411yescharacteristic
634C2×C8×C47C2411yescharacteristic
635C2×C8×C47C2411yescharacteristic
636C2×C8×C47C2411yescharacteristic
637C2×C8×C47C2411yescharacteristic
638C2×C8×C47C2411yescharacteristic
639C2×C8×C47C2411yescharacteristic
640C2×C8×C47C2411yescharacteristic
641C4⋊C4×C47C2×D411yescharacteristic
642C4⋊C4×C47C2×D411yescharacteristic
643C4⋊C4×C47C2×D411yescharacteristic
644C4⋊C4×C47C2×D411yescharacteristic
645C4⋊C4×C47C2×D411yescharacteristic
646C4⋊C4×C47C2×D411yescharacteristic
647C22⋊C4×C47C2×D411yescharacteristic
648C22⋊C4×C47C2×D411yescharacteristic
649C22⋊C4×C47C2×D411yescharacteristic
650C22⋊C4×C47C2×D411yescharacteristic
651C22⋊C4×C47C2×D411yescharacteristic
652C22⋊C4×C47C2×D411yescharacteristic
653C22⋊C4×C47C2×D411yescharacteristic
654C22⋊C4×C47C2×D411yescharacteristic
655C22⋊C4×C47C2×D411yescharacteristic
656C22⋊C4×C47C2×D411yescharacteristic
657C42×C47C2411yescharacteristic
658C42×C47C2411yescharacteristic
659C22⋊Dic47—21no—
660C22⋊Dic47—21no—
661C22⋊Dic47—21no—
662C22⋊Dic47—21no—
663C22⋊Dic47—21no—
664C22⋊Dic47—21no—
665C22⋊Dic47—21no—
666(C2×D47)⋊C4—21no—
667(C2×D47)⋊C4—21no—
668(C2×D47)⋊C4—21no—
669(C2×D47)⋊C4—21no—
670(C2×D47)⋊C4—21no—
671(C2×D47)⋊C4—21no—
672(C2×D47)⋊C4—21no—
673(C2×D47)⋊C4—21no—
674(C2×D47)⋊C4—21no—
675(C2×D47)⋊C4—21no—
676(C2×D47)⋊C4—21no—
677(C2×D47)⋊C4—21no—
678(C2×D47)⋊C4—21no—
679(C2×D47)⋊C4—21no—
680(C2×D47)⋊C4—21no—
681(C2×D47)⋊C4—21no—
682(C2×D47)⋊C4—21no—
683(C2×D47)⋊C4—21no—
684(C2×D47)⋊C4—21no—
685(C2×D47)⋊C4—21no—
686(C2×D47)⋊C4—21no—
687(C2×D47)⋊C4—21no—
688(C2×D47)⋊C4—21no—
689(C2×D47)⋊C4—21no—
690(C2×D47)⋊C4—21no—
691(C2×D47)⋊C4—21no—
692C4⋊Dic47—21no—
693C4⋊Dic47—21no—
694C4⋊Dic47—21no—
695C4⋊Dic47—21no—
696C4⋊Dic47C2411yescharacteristic
697C4⋊Dic47C2411yescharacteristic
698C4⋊Dic47C2411yescharacteristic
699C4⋊Dic47C2411yescharacteristic
700C4⋊Dic47C2411yescharacteristic
701C4⋊Dic47C2411yescharacteristic
702Dic47⋊C4—21no—
703Dic47⋊C4—21no—
704Dic47⋊C4—21no—
705Dic47⋊C4—21no—
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712C4×Dic47—21no—
713C4×Dic47—21no—
714C4×Dic47—21no—
715C4×Dic47—21no—
716C4×Dic47—21no—
717Dic188—22no—
718Dic188—41no—
719D376—22no—
720D376—22no—
721D376—22no—
722D376—41no—
723D376—41no—
724D376—41no—
725D376—41no—
726D376—41no—
727D376—41no—
728D376—41no—
729D376—41no—
730D376—41no—
731#10625325—22no—
732#10625325—22no—
733#10625325—22no—
734#10625325—22no—
735#10625325—41no—
736#10625325—41no—
737#10625325—41no—
738#10625325—41no—
739#10625325—41no—
740#10625325—41no—
741C23×C47—22no—
742C23×C47—41no—
743C23×C47—41no—
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C23×C47C22×D411yescharacteristic
747C23×C47C22×D411yescharacteristic
748C23×C47C22×D411yescharacteristic
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—21no—
752C22×D47—21no—
753C22×D47—21no—
754C22×D47—21no—
755C22×D47—21no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—42no—
761C22×D47—42no—
762C22×D47—81no—
763C22×D47—81no—
764C22×D47—81no—
765C22×D47—81no—
766C22×D47—81no—
767C22×D47—81no—
768C22×D47—81no—
769C22×D47—81no—
770C22×D47—81no—
771C22×D47—81no—
772C22×D47—81no—
773C22×D47—81no—
774Q8×C47—41no—
775D4×C47—22no—
776D4×C47—22no—
777D4×C47—41no—
778D4×C47—41no—
779D4×C47—41no—
780D4×C47—41no—
781D4×C47—41no—
782C2×C4×C47—21no—
783C2×C4×C47—21no—
784C2×C4×C47—21no—
785C2×C4×C47—21no—
786C2×C4×C47—21no—
787C2×C4×C47—21no—
788C2×C4×C47—21no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
792C2×C4×C47—41no—
793C2×C4×C47—41no—
794C2×C4×C47—41no—
795C2×C4×C47C22×D411yescharacteristic
796C2×C4×C47C22×D411yescharacteristic
797C2×C4×C47C22×D411yescharacteristic
798C2×C4×C47C22×D411yescharacteristic
799C2×C4×C47C22×D411yescharacteristic
800C2×C4×C47C22×D411yescharacteristic
801C2×C4×C47C22×D411yescharacteristic
802C2×C4×C47C22×D411yescharacteristic
803C2×C4×C47C22×D411yescharacteristic
804C2×C4×C47C2511yescharacteristic
805C22⋊D47—24no—
806C22⋊D47—42no—
807C22⋊D47—42no—
808C22⋊D47—42no—
809C22⋊D47—42no—
810C22⋊D47—42no—
811C22⋊D47—42no—
812C22⋊D47—42no—
813C22⋊D47—42no—
814C22⋊D47—81no—
815C22⋊D47—81no—
816C22⋊D47—81no—
817C22⋊D47—81no—
818C22⋊D47—81no—
819C22⋊D47—81no—
820C22⋊D47—81no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C2×Dic47—21no—
829C2×Dic47—21no—
830C2×Dic47—21no—
831C2×Dic47—21no—
832C2×Dic47—21no—
833C2×Dic47—21no—
834C2×Dic47—21no—
835C2×Dic47—21no—
836C2×Dic47—21no—
837C2×Dic47—42no—
838C2×Dic47—42no—
839C2×Dic47—81no—
840C2×Dic47—81no—
841D188—21no—
842D188—21no—
843D188—21no—
844D188—21no—
845D188—21no—
846D188—21no—
847D188—21no—
848D188—21no—
849D188—21no—
850D188—21no—
851D188—21no—
852D188—21no—
853D188—21no—
854D188—42no—
855D188—42no—
856D188—42no—
857D188—42no—
858D188—81no—
859D188—81no—
860D188—81no—
861D188—81no—
862D188—81no—
863D188—81no—
864D188—81no—
865D188—81no—
866D188H(5,𝔽2)12yes—
867C4×D47—24no—
868C4×D47—42no—
869C4×D47—42no—
870C4×D47—42no—
871C4×D47—42no—
872C4×D47—42no—
873C4×D47—81no—
874C4×D47—81no—
875C4×D47—81no—
876C4×D47—81no—
877C4×D47—81no—
878C4×D47—81no—
879C4×D47—81no—
880Dic94—21no—
881Dic94—21no—
882Dic94—21no—
883Dic94—21no—
884Dic94—21no—
885Dic94—42no—
886Dic94—81no—
887Dic94H(5,𝔽2)12yes—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C8×C47—21no—
893C8×C47—21no—
894C8×C47—21no—
895C8×C47—21no—
896#61639—471nomaximal, Sylow
897C22×C47—21no—
898C22×C47—21no—
899C22×C47—21no—
900C22×C47—21no—
901C22×C47—21no—
902C22×C47—21no—
903C22×C47—21no—
904C22×C47—21no—
905C22×C47—21no—
906C22×C47—21no—
907C22×C47—21no—
908C22×C47—21no—
909C22×C47—21no—
910C22×C47—21no—
911C22×C47—82no—
912C22×C47#57612yes—
913C22×C47C23×D411yescharacteristic
914C2×D47—22no—
915C2×D47—41no—
916C2×D47—41no—
917C2×D47—41no—
918C2×D47—41no—
919C2×D47—41no—
920C2×D47—41no—
921C2×D47—41no—
922C2×D47—41no—
923C2×D47—41no—
924C2×D47—41no—
925C2×D47—41no—
926C2×D47—41no—
927C2×D47—41no—
928C2×D47—41no—
929C2×D47—41no—
930C2×D47—41no—
931C2×D47—41no—
932C2×D47—41no—
933C2×D47—41no—
934C2×D47—41no—
935C2×D47—84no—
936C2×D47—162no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47—162no—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—21no—
945C4×C47—21no—
946C4×C47—21no—
947C4×C47—21no—
948C4×C47—21no—
949C4×C47—21no—
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951C4×C47C2×H(5,𝔽2)11yescharacteristic
952Dic47—22no—
953Dic47—41no—
954Dic47—41no—
955Dic47—41no—
956Dic47—41no—
957Dic47—41no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308—471no—
967#3305—471no—
968#3300—471no—
969#3297—471no—
970#3294—471no—
971#3287—471no—
972#3282—471no—
973#3280—471no—
974D4×D8—471no—
975#3268—471no—
976#3268—471no—
977#3265—471no—
978#3264—471no—
979#3224—471no—
980#3220—471no—
981#3203—471no—
982#3198—471no—
983#3188—471no—
984#3186—471no—
985#3124—471no—
986#3119—471no—
987#3012—471no—
988#3008—471no—
989#3002—471no—
990C2×#449—471no—
991#2977D4711yescharacteristic, complemented
992C2×C47—22no—
993C2×C47—41no—
994C2×C47—41no—
995C2×C47—41no—
996C2×C47—41no—
997C2×C47#348411yescharacteristic
998C2×C47C2×#57611yescharacteristic
999C2×C47#358411yescharacteristic
1000D47—42no—
1001D47—81no—
1002D47—81no—
1003D47—81no—
1004D47—81no—
1005D47—81no—
1006D47—81no—
1007C2×H(5,𝔽2)—471no—
1008C22×#41—471no—
1009C2×AGL(1,ℤ/8)—471no—
1010C2×AGL(1,ℤ/8)—471no—
1011C2×#135—471no—
1012C2×#135—471no—
1013C2×#135—471no—
1014C22×SD16—471no—
1015C22×D8—471no—
1016C22×D8—471no—
1017#562—941no—
1018#560—941no—
1019#555—471no—
1020#553—471no—
1021#552—471no—
1022#551—941no—
1023#550—471no—
1024#550—471no—
1025#550—471no—
1026#548—471no—
1027#548—471no—
1028#547—471no—
1029#546—471no—
1030#546—471no—
1031#546—471no—
1032#546—471no—
1033#546—941no—
1034#546—941no—
1035#546—941no—
1036D42—471no—
1037D42—471no—
1038D42—471no—
1039D42—941no—
1040D42—941no—
1041#542—471no—
1042#540—471no—
1043#540—941no—
1044#538—941no—
1045#537—471no—
1046#537—471no—
1047#537—941no—
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—941no—
1055#525C2×D4711yescharacteristic
1056C2×#121—471no—
1057C2×#121—471no—
1058C2×#121—941no—
1059#520—471no—
1060#496—471no—
1061#496—471no—
1062#495—471no—
1063#493—471no—
1064#490—471no—
1065#489—471no—
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
1070#484—471no—
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480—471no—
1079#480—471no—
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468—471no—
1088#467—471no—
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466—471no—
1097#465—471no—
1098#465—471no—
1099#465—471no—
1100#464—471no—
1101#464—471no—
1102#463—471no—
1103#463—471no—
1104#463—471no—
1105#463—471no—
1106#460—471no—
1107#460—471no—
1108#459—471no—
1109#459—471no—
1110#459—471no—
1111#459—471no—
1112#452—471no—
1113#452—471no—
1114#452—471no—
1115#452—471no—
1116#451—471no—
1117#450—471no—
1118#450—471no—
1119#450—471no—
1120#450—471no—
1121#449—471no—
1122#449—471no—
1123#449—471no—
1124#449—471no—
1125#449—471no—
1126#449—471no—
1127#449—471no—
1128#449—471no—
1129#449—471no—
1130#449—471no—
1131#449—471no—
1132#449—471no—
1133#449—471no—
1134#449—471no—
1135#449—471no—
1136#449—471no—
1137#448—471no—
1138#447—471no—
1139#447—471no—
1140#447—471no—
1141#447—471no—
1142#447—471no—
1143#447—471no—
1144#447—471no—
1145#447—471no—
1146#447—471no—
1147#447—471no—
1148#442—471no—
1149#440—471no—
1150#440—471no—
1151#440—471no—
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8—471no—
1156#435C2×D4711yescharacteristic, complemented
1157#435C2×D4711yescharacteristic, complemented
1158#435C2×D4711yescharacteristic, complemented
1159#435C2×D4711yescharacteristic, complemented
1160C8×D4C2×D4711yescharacteristic, complemented
1161C8×D4C2×D4711yescharacteristic, complemented
1162C8×D4C2×D4711yescharacteristic, complemented
1163C8×D4C2×D4711yescharacteristic, complemented
1164#433C2×D4711yescharacteristic, complemented
1165#433C2×D4711yescharacteristic, complemented
1166#418—471no—
1167#417—471no—
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103—471no—
1172C2×#102—471no—
1173C2×#102—471no—
1174#408C2×D4711yescharacteristic, complemented
1175#408C2×D4711yescharacteristic, complemented
1176C2×C22⋊C8C2×D4711yescharacteristic, complemented
1177C2×C22⋊C8C2×D4711yescharacteristic, complemented
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—471no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—471no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—941no—
1193C2×#41—1882no—
1194C2×#41—1882no—
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8—471no—
1197C22×D4—471no—
1198C22×D4—471no—
1199C22×D4—471no—
1200C22×D4—471no—
1201C22×D4—471no—
1202C22×D4—471no—
1203C22×D4—941no—
1204C22×D4—941no—
1205C22×D4—941no—
1206C22×D4—941no—
1207C22×D4—941no—
1208C22×D4—941no—
1209C22×D4—941no—
1210C22×D4—941no—
1211C22×D4—941no—
1212C23×C4—941no—
1213C23×C4C22×D4711yescharacteristic
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16—471no—
1221C2×SD16—471no—
1222C2×SD16—471no—
1223C2×SD16—471no—
1224C2×SD16—471no—
1225C2×SD16—471no—
1226C2×SD16—471no—
1227C2×SD16—471no—
1228C2×SD16—471no—
1229C2×SD16—471no—
1230C2×SD16—471no—
1231C2×SD16—1882no—
1232C2×D8—471no—
1233C2×D8—471no—
1234C2×D8—471no—
1235C2×D8—471no—
1236C2×D8—471no—
1237C2×D8—471no—
1238C2×D8—471no—
1239C2×D8—471no—
1240C2×D8—471no—
1241C2×D8—471no—
1242C2×D8—471no—
1243C2×D8—471no—
1244C2×D8—1882no—
1245C2×D8—1882no—
1246C2×M16C22×D4711yescharacteristic
1247C2×M16C22×D4711yescharacteristic
1248C22×C8C22×D4711yescharacteristic
1249C22×C8C22×D4711yescharacteristic
1250C22×C8C22×D4711yescharacteristic
1251C22×C8C22×D4711yescharacteristic
1252C22×C8C22×D4711yescharacteristic
1253C22×C8C22×D4711yescharacteristic
1254C4⋊Q8—471no—
1255#127—471no—
1256#127—471no—
1257#127—471no—
1258#127—941no—
1259#127—941no—
1260#127—941no—
1261#127—941no—
1262#126—941no—
1263#126—941no—
1264#126—941no—
1265#125—471no—
1266#125—941no—
1267#124—471no—
1268#124—471no—
1269#124—471no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124—941no—
1276#123—941no—
1277#123—941no—
1278#123—941no—
1279#123—941no—
1280#123—941no—
1281#123—941no—
1282#123—941no—
1283#123—941no—
1284#123—941no—
1285#123—941no—
1286#123—941no—
1287#123—941no—
1288#123D18811yescharacteristic
1289#123D18811yescharacteristic
1290C22⋊Q8—471no—
1291C22⋊Q8—471no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8D18811yescharacteristic
1302C22⋊Q8D18811yescharacteristic
1303#121—471no—
1304#121—471no—
1305#121—471no—
1306#121—471no—
1307#121—471no—
1308#121—471no—
1309#121—471no—
1310#121—471no—
1311#121—471no—
1312#121—471no—
1313#121—471no—
1314#121—471no—
1315#121—471no—
1316#121—471no—
1317#121—471no—
1318#121—941no—
1319#121—941no—
1320#121—941no—
1321#121—941no—
1322#121—941no—
1323#121—941no—
1324#121—941no—
1325#121—941no—
1326#121—941no—
1327#121—941no—
1328#121—941no—
1329#121—941no—
1330#121—941no—
1331#121—941no—
1332#121—941no—
1333#121—941no—
1334#121—941no—
1335#121—941no—
1336#121—941no—
1337#121—941no—
1338#121—941no—
1339#121—941no—
1340#121—941no—
1341#121—941no—
1342#121—941no—
1343#121—941no—
1344#121—941no—
1345#121—941no—
1346#121—941no—
1347#121—941no—
1348#121—941no—
1349#121D18811yescharacteristic
1350#121D18811yescharacteristic
1351#120—941no—
1352#120—941no—
1353#120—941no—
1354#120—941no—
1355#120—941no—
1356#120—941no—
1357#120—941no—
1358#120—941no—
1359#120—941no—
1360#120—941no—
1361#120—941no—
1362#120—941no—
1363#120—941no—
1364#120—941no—
1365#120—941no—
1366#120D18811yescharacteristic
1367#120D18811yescharacteristic
1368C4×Q8—471no—
1369C4×Q8—471no—
1370C4×Q8—471no—
1371C4×D4—471no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—941no—
1377C4×D4—941no—
1378C4×D4—941no—
1379C4×D4—941no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4C22×D4711yescharacteristic
1387C4×D4C22×D4711yescharacteristic
1388C4×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
1390#117—471no—
1391#117—471no—
1392#117—941no—
1393#117—941no—
1394#117—941no—
1395#117C22×D4711yescharacteristic
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—471no—
1398C2×C4⋊C4—471no—
1399C2×C4⋊C4—941no—
1400C2×C22⋊C4—941no—
1401C2×C22⋊C4—941no—
1402C2×C22⋊C4—941no—
1403C2×C22⋊C4—941no—
1404C2×C22⋊C4—941no—
1405C2×C22⋊C4—941no—
1406#107—471no—
1407#107—471no—
1408#107—471no—
1409#107—471no—
1410#107—471no—
1411#107—471no—
1412#106—471no—
1413#106—471no—
1414C4⋊C8C22×D4711yescharacteristic
1415C4⋊C8C22×D4711yescharacteristic
1416C4⋊C8C22×D4711yescharacteristic
1417C4⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103—471no—
1425#103—471no—
1426#103—471no—
1427#103—471no—
1428#102—471no—
1429#102—471no—
1430#102—471no—
1431#102—471no—
1432#102—471no—
1433#102—471no—
1434#102—471no—
1435#102—471no—
1436#102—471no—
1437#102—471no—
1438#102—471no—
1439#102—471no—
1440#102—471no—
1441#102—471no—
1442#102—471no—
1443#102—471no—
1444#102—471no—
1445#102—471no—
1446#102—471no—
1447#102—471no—
1448#102—471no—
1449#102—471no—
1450C22⋊C8C22×D4711yescharacteristic
1451C22⋊C8C22×D4711yescharacteristic
1452C22⋊C8C22×D4711yescharacteristic
1453C22⋊C8C22×D4711yescharacteristic
1454C22⋊C8C22×D4711yescharacteristic
1455C22⋊C8C22×D4711yescharacteristic
1456C22⋊C8C22×D4711yescharacteristic
1457C22⋊C8C22×D4711yescharacteristic
1458C22⋊C8C22×D4711yescharacteristic
1459C22⋊C8C22×D4711yescharacteristic
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97C22×D4711yescharacteristic
1463#97C22×D4711yescharacteristic
1464C4×C8C22×D4711yescharacteristic
1465C4×C8C22×D4711yescharacteristic
1466C24—941no—
1467C24—941no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24C2×D18811yescharacteristic
1473#41—41no—
1474#41—41no—
1475#41—942no—
1476#41—942no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—3762no—
1482#41—1881no—
1483#41—1881no—
1484#41—1881no—
1485#41—1881no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1884no—
1493#41—1884no—
1494#41—1884no—
1495C2×Q8—471no—
1496C2×Q8—471no—
1497C2×Q8—471no—
1498C2×Q8—942no—
1499C2×Q8—941no—
1500C2×Q8—941no—
1501C2×Q8—1881no—
1502C2×Q8C2×D18811yescharacteristic
1503C2×D4—471no—
1504C2×D4—471no—
1505C2×D4—471no—
1506C2×D4—471no—
1507C2×D4—471no—
1508C2×D4—471no—
1509C2×D4—471no—
1510C2×D4—942no—
1511C2×D4—942no—
1512C2×D4—942no—
1513C2×D4—941no—
1514C2×D4—941no—
1515C2×D4—941no—
1516C2×D4—941no—
1517C2×D4—941no—
1518C2×D4—941no—
1519C2×D4—941no—
1520C2×D4—941no—
1521C2×D4—941no—
1522C2×D4—941no—
1523C2×D4—941no—
1524C2×D4—941no—
1525C2×D4—941no—
1526C2×D4—941no—
1527C2×D4—941no—
1528C2×D4—941no—
1529C2×D4—941no—
1530C2×D4—941no—
1531C2×D4—941no—
1532C2×D4—941no—
1533C2×D4—941no—
1534C2×D4—941no—
1535C2×D4—941no—
1536C2×D4—941no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—941no—
1540C2×D4—941no—
1541C2×D4—941no—
1542C2×D4—941no—
1543C2×D4—941no—
1544C2×D4—941no—
1545C2×D4—941no—
1546C2×D4—941no—
1547C2×D4—941no—
1548C2×D4—3762no—
1549C2×D4—3762no—
1550C2×D4—3762no—
1551C2×D4—3762no—
1552C2×D4—3762no—
1553C2×D4—1881no—
1554C2×D4—1881no—
1555C2×D4—1881no—
1556C2×D4—1881no—
1557C2×D4—1881no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1884no—
1563C2×D4—1884no—
1564C2×D4—1884no—
1565C2×D4—1884no—
1566C2×D4C2×D18811yescharacteristic
1567C2×D4C2×D18811yescharacteristic
1568C2×D4C2×D18811yescharacteristic
1569C2×D4C2×D18811yescharacteristic
1570C2×D4C2×D18811yescharacteristic
1571C2×D4C2×D18811yescharacteristic
1572C2×D4C2×D18811yescharacteristic
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—941no—
1576C22×C4—941no—
1577C22×C4—941no—
1578C22×C4—941no—
1579C22×C4—941no—
1580C22×C4—941no—
1581C22×C4—941no—
1582C22×C4—941no—
1583C22×C4—941no—
1584C22×C4—941no—
1585C22×C4—941no—
1586C22×C4—941no—
1587C22×C4—941no—
1588C22×C4—941no—
1589C22×C4—941no—
1590C22×C4—941no—
1591C22×C4—941no—
1592C22×C4—1884no—
1593C22×C4C2×D18811yescharacteristic
1594C22×C4C2×D18811yescharacteristic
1595C22×C4C2×D18811yescharacteristic
1596C22×C4C23×D4711yescharacteristic
1597C22×C4C23×D4711yescharacteristic
1598C22×C4C23×D4711yescharacteristic
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—942no—
1604SD16—942no—
1605SD16—942no—
1606SD16—942no—
1607SD16—1881no—
1608SD16—1881no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—942no—
1614D8—942no—
1615D8—942no—
1616D8—1881no—
1617D8—1881no—
1618D8—1881no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—41no—
1626M16—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8—41no—
1633C2×C8C23×D4711yescharacteristic
1634C2×C8C23×D4711yescharacteristic
1635C2×C8C23×D4711yescharacteristic
1636C2×C8C23×D4711yescharacteristic
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—471no—
1642C4⋊C4—471no—
1643C4⋊C4—471no—
1644C4⋊C4—471no—
1645C4⋊C4—471no—
1646C4⋊C4—471no—
1647C4⋊C4—941no—
1648C4⋊C4—941no—
1649C4⋊C4—941no—
1650C4⋊C4—941no—
1651C4⋊C4—941no—
1652C4⋊C4—941no—
1653C4⋊C4—941no—
1654C4⋊C4—941no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4C2×D18811yescharacteristic
1662C4⋊C4C2×D18811yescharacteristic
1663C4⋊C4C2×D18811yescharacteristic
1664C4⋊C4C2×D18811yescharacteristic
1665C4⋊C4C2×D18811yescharacteristic
1666C4⋊C4C2×D18811yescharacteristic
1667C22⋊C4—941no—
1668C22⋊C4—941no—
1669C22⋊C4—941no—
1670C22⋊C4—941no—
1671C22⋊C4—941no—
1672C22⋊C4—941no—
1673C22⋊C4—941no—
1674C22⋊C4—941no—
1675C22⋊C4—941no—
1676C22⋊C4—941no—
1677C22⋊C4—941no—
1678C22⋊C4—941no—
1679C22⋊C4—941no—
1680C22⋊C4—941no—
1681C22⋊C4—941no—
1682C22⋊C4—941no—
1683C22⋊C4—941no—
1684C22⋊C4—941no—
1685C22⋊C4—941no—
1686C22⋊C4—941no—
1687C22⋊C4—941no—
1688C22⋊C4—941no—
1689C22⋊C4—941no—
1690C22⋊C4—941no—
1691C22⋊C4—941no—
1692C22⋊C4—941no—
1693C22⋊C4—941no—
1694C22⋊C4—941no—
1695C22⋊C4—941no—
1696C22⋊C4—941no—
1697C22⋊C4—941no—
1698C22⋊C4—941no—
1699C22⋊C4—941no—
1700C22⋊C4C2×D18811yescharacteristic
1701C22⋊C4C2×D18811yescharacteristic
1702C22⋊C4C2×D18811yescharacteristic
1703C22⋊C4C2×D18811yescharacteristic
1704C22⋊C4C2×D18811yescharacteristic
1705C22⋊C4C2×D18811yescharacteristic
1706C22⋊C4C2×D18811yescharacteristic
1707C22⋊C4C2×D18811yescharacteristic
1708C22⋊C4C2×D18811yescharacteristic
1709C22⋊C4C2×D18811yescharacteristic
1710C42—941no—
1711C42—941no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42C23×D4711yescharacteristic
1716C42C23×D4711yescharacteristic
1717C23—22no—
1718C23—41no—
1719C23—41no—
1720C23—941no—
1721C23—941no—
1722C23—941no—
1723C23—941no—
1724C23—941no—
1725C23—941no—
1726C23—941no—
1727C23—3761no—
1728C23—3761no—
1729C23—3761no—
1730C23—3761no—
1731C23—3761no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—1882no—
1740C23—1882no—
1741C23—1882no—
1742C23—1882no—
1743C23—1882no—
1744C23—1882no—
1745C23C22×D18811yescharacteristic
1746C23C22×D18811yescharacteristic
1747C23C22×D18811yescharacteristic
1748C23C22×D18811yescharacteristic
1749C23C22×D18811yescharacteristic
1750Q8—41no—
1751Q8—472no—
1752Q8—941no—
1753Q8—941no—
1754Q8—941no—
1755Q8—941no—
1756Q8—941no—
1757Q8—3761no—
1758Q8—1882no—
1759D4—22no—
1760D4—22no—
1761D4—41no—
1762D4—41no—
1763D4—41no—
1764D4—41no—
1765D4—41no—
1766D4—472no—
1767D4—944no—
1768D4—941no—
1769D4—941no—
1770D4—941no—
1771D4—941no—
1772D4—941no—
1773D4—941no—
1774D4—941no—
1775D4—941no—
1776D4—941no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—3761no—
1782D4—3761no—
1783D4—3761no—
1784D4—3761no—
1785D4—3761no—
1786D4—3761no—
1787D4—3761no—
1788D4—3761no—
1789D4—3761no—
1790D4—3761no—
1791D4—3761no—
1792D4—3761no—
1793D4—3761no—
1794D4—3761no—
1795D4—3761no—
1796D4—3761no—
1797D4—3761no—
1798D4—3761no—
1799D4—3761no—
1800D4—3761no—
1801D4—3761no—
1802D4—3761no—
1803D4—1882no—
1804D4—1882no—
1805D4—1882no—
1806D4—1882no—
1807D4—1882no—
1808D4—1882no—
1809D4—1882no—
1810D4—1882no—
1811D4—1882no—
1812D4—1882no—
1813D4—1882no—
1814D4—1882no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—944no—
1829C2×C4—941no—
1830C2×C4—941no—
1831C2×C4—941no—
1832C2×C4—941no—
1833C2×C4—941no—
1834C2×C4—941no—
1835C2×C4—941no—
1836C2×C4—941no—
1837C2×C4—941no—
1838C2×C4—3761no—
1839C2×C4—3761no—
1840C2×C4—3761no—
1841C2×C4—3761no—
1842C2×C4—3761no—
1843C2×C4—3761no—
1844C2×C4—3761no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—1882no—
1848C2×C4—1882no—
1849C2×C4—1882no—
1850C2×C4—1882no—
1851C2×C4—1882no—
1852C2×C4—1882no—
1853C2×C4—1882no—
1854C2×C4C22×D18811yescharacteristic
1855C2×C4C22×D18811yescharacteristic
1856C2×C4C22×D18811yescharacteristic
1857C2×C4C22×D18811yescharacteristic
1858C2×C4C22×D18811yescharacteristic
1859C2×C4C22×D18811yescharacteristic
1860C2×C4C22×D18811yescharacteristic
1861C2×C4C22×D18811yescharacteristic
1862C2×C4C22×D18811yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—82no—
1887C22—942no—
1888C22—3764no—
1889C22—1881no—
1890C22—1881no—
1891C22—1881no—
1892C22—1881no—
1893C22—1881no—
1894C22—1881no—
1895C22—1881no—
1896C22—1881no—
1897C22—1881no—
1898C22—1881no—
1899C22—1881no—
1900C22—1881no—
1901C22—1881no—
1902C22—1881no—
1903C22—1881no—
1904C22—1881no—
1905C22—1881no—
1906C22—1881no—
1907C22—1881no—
1908C22—1881no—
1909C22—7522no—
1910C22—7522no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22#1568992812yes—
1915C22C23×D18811yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—942no—
1926C4—1881no—
1927C4—1881no—
1928C4—1881no—
1929C4—1881no—
1930C4—1881no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4H(5,𝔽2)×D4711yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—3761no—
1942C2—3761no—
1943C2—3761no—
1944C2—3761no—
1945C2—3761no—
1946C2—3761no—
1947C2—1882no—
1948C2#2025702411yescharacteristic
1949C2C2×#1568992811yescharacteristic
1950C2#2025816211yescharacteristic
subgroupG/H
centerC22C23×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#2977C2
socleC22×C47C23×D4
hypercenter#2977D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ #525 ◁ #2977

Complements

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

NH ≅ G/Ntype
1. #20257704C2semidirect
2. #20257049C2semidirect
3. #20255546C2semidirect
4. #20255411C2semidirect
5. #20255396C2semidirect
6. #20255381C2semidirect
7. #20255339C2semidirect
8. #20255277C2semidirect
9. #20255240C2semidirect
10. #20255202C2semidirect
11. #20255148C2semidirect
12. #20255100C2semidirect
13. #20255075C2semidirect
14. D4×D376C2semidirect
15. #20254933C2semidirect
16. #20254933C2semidirect
17. #20254888C2semidirect
18. #20254873C2semidirect
19. #20254484C2semidirect
20. #20254440C2semidirect
21. #20254290C2semidirect
22. #20254242C2semidirect
23. #20254155C2semidirect
24. #20254139C2semidirect
25. #20253652C2semidirect
26. #20253589C2semidirect
27. #20252695C2semidirect
28. #20252658C2semidirect
29. #20252610C2semidirect
30. C2×#15689270C2semidirect
31. C47×#2977C2semidirect
32. C2×#13094070C22semidirect
33. C22×#10625350C22semidirect
34. C2×#13094052C22semidirect
35. C2×#13094052C22semidirect
36. C2×#13094046C22semidirect
37. C2×#13094046C22semidirect
38. C2×#13094046C22semidirect
39. C22×#10625325C22semidirect
40. C22×D376C22semidirect
41. C22×D376C22semidirect
44. #15689838C22semidirect
45. #15689819C22semidirect
46. #15689813C22semidirect
48. #15689794C22semidirect
49. #15689794C22semidirect
50. #15689794C22semidirect
52. #15689782C22semidirect
53. #15689777C22semidirect
54. #15689769C22semidirect
55. #15689769C22semidirect
56. #15689769C22semidirect
57. #15689769C22semidirect
62. D4×D188C22semidirect
63. D4×D188C22semidirect
66. #15689744C22semidirect
67. #15689728C22semidirect
71. #15689701C22semidirect
72. #15689701C22semidirect
73. #15689692C22semidirect
76. #15689687C22semidirect
79. #15689634C22semidirect
80. C2×#13093998C22semidirect
81. C2×#13093998C22semidirect
83. #15689603C22semidirect
84. #15689512C22semidirect
85. #15689512C22semidirect
86. #15689507C22semidirect
87. #15689500C22semidirect
88. #15689488C22semidirect
89. #15689483C22semidirect
90. #15689478C22semidirect
91. #15689470C22semidirect
92. #15689465C22semidirect
93. #15689459C22semidirect
94. #15689459C22semidirect
95. #15689448C22semidirect
96. #15689448C22semidirect
97. #15689448C22semidirect
98. #15689442C22semidirect
99. #15689437C22semidirect
100. #15689437C22semidirect
101. #15689437C22semidirect
102. #15689437C22semidirect
103. #15689437C22semidirect
104. #15689431C22semidirect
105. #15689424C22semidirect
106. #15689419C22semidirect
107. #15689404C22semidirect
108. #15689376C22semidirect
109. #15689369C22semidirect
110. #15689369C22semidirect
111. #15689369C22semidirect
112. #15689364C22semidirect
113. #15689359C22semidirect
114. #15689359C22semidirect
115. #15689359C22semidirect
116. #15689359C22semidirect
117. #15689359C22semidirect
118. #15689359C22semidirect
119. #15689359C22semidirect
120. #15689359C22semidirect
121. #15689352C22semidirect
122. #15689352C22semidirect
123. #15689352C22semidirect
124. #15689346C22semidirect
125. #15689346C22semidirect
126. #15689339C22semidirect
127. #15689339C22semidirect
128. #15689339C22semidirect
129. #15689339C22semidirect
130. #15689324C22semidirect
131. #15689324C22semidirect
132. #15689319C22semidirect
133. #15689319C22semidirect
134. #15689319C22semidirect
135. #15689319C22semidirect
136. #15689287C22semidirect
137. #15689287C22semidirect
138. #15689287C22semidirect
139. #15689287C22semidirect
140. #15689281C22semidirect
141. #15689276C22semidirect
142. #15689276C22semidirect
143. #15689276C22semidirect
144. #15689276C22semidirect
146. #15689270C22semidirect
147. #15689270C22semidirect
148. #15689270C22semidirect
149. #15689270C22semidirect
150. #15689270C22semidirect
151. #15689270C22semidirect
152. #15689270C22semidirect
153. #15689270C22semidirect
154. #15689270C22semidirect
155. #15689270C22semidirect
156. #15689270C22semidirect
157. #15689270C22semidirect
158. #15689270C22semidirect
159. #15689270C22semidirect
160. #15689270C22semidirect
161. #15689264C22semidirect
162. #15689259C22semidirect
163. #15689259C22semidirect
164. #15689259C22semidirect
165. #15689259C22semidirect
166. #15689259C22semidirect
167. #15689259C22semidirect
168. #15689259C22semidirect
169. #15689259C22semidirect
170. #15689259C22semidirect
171. #15689259C22semidirect
172. #15689236C22semidirect
173. #15689225C22semidirect
174. #15689225C22semidirect
175. #15689225C22semidirect
176. C4×Dic188C22semidirect
177. C4×#10625325C22semidirect
178. C4×D376C22semidirect
179. C4×D376C22semidirect
180. #15689129C22semidirect
181. #15689125C22semidirect
182. #15689120C22semidirect
183. #15689120C22semidirect
184. #15689120C22semidirect
185. C2×#13093949C22semidirect
186. C2×#13093946C22semidirect
187. C2×#13093946C22semidirect
189. C47×#435C22semidirect
190. C47×#435C22semidirect
191. C47×#435C22semidirect
192. C47×#435C22semidirect
193. C8×D4×C47C22semidirect
194. C8×D4×C47C22semidirect
195. C8×D4×C47C22semidirect
196. C8×D4×C47C22semidirect
197. C47×#433C22semidirect
198. C47×#433C22semidirect
199. C47×#408C22semidirect
200. C47×#408C22semidirect
201. C2×C22⋊C8×C47C22semidirect
202. C2×C22⋊C8×C47C22semidirect
991. #2977D47semidirect
1156. #435C2×D47semidirect
1157. #435C2×D47semidirect
1158. #435C2×D47semidirect
1159. #435C2×D47semidirect
1160. C8×D4C2×D47semidirect
1161. C8×D4C2×D47semidirect
1162. C8×D4C2×D47semidirect
1163. C8×D4C2×D47semidirect
1164. #433C2×D47semidirect
1165. #433C2×D47semidirect
1174. #408C2×D47semidirect
1175. #408C2×D47semidirect
1176. C2×C22⋊C8C2×D47semidirect
1177. C2×C22⋊C8C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577042
#202570492
#202555462
#202554112
#202553962
#202553812
#202553392
#202552772
#202552402
#202552022
#202551482
#202551002
#202550752
D4×D3762
#202549332
#202548882
#202548732
#202544842
#202544402
#202542902
#202542422
#202541552
#202541392
#202536522
#202535892
#202526952
#202526582
#202526102
C2×#156892702
C47×#29772
#6163947