Finite Group Databasebeta

← #27102523

Subgroups — #27102523

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#20257692C211yesmaximal, characteristic, complemented
2#20257052C211yesmaximal, characteristic, complemented
3#20255539C211yesmaximal, characteristic, complemented
4#20255404C211yesmaximal, characteristic, complemented
5#20255397C211yesmaximal, characteristic, complemented
6#20255382C211yesmaximal, characteristic, complemented
7#20255333C211yesmaximal, characteristic, complemented
8#20255270C211yesmaximal, characteristic, complemented
9#20255236C211yesmaximal, characteristic, complemented
10#20255199C211yesmaximal, characteristic, complemented
11#20255141C211yesmaximal, characteristic, complemented
12#20255093C211yesmaximal, characteristic, complemented
13#20255070C211yesmaximal, characteristic, complemented
14#20255062C211yesmaximal, characteristic, complemented
15#20254935C211yesmaximal, characteristic, complemented
16#20254931C211yesmaximal, characteristic, complemented
17#20254890C211yesmaximal, characteristic, complemented
18#20254871C211yesmaximal, characteristic, complemented
19#20254488C211yesmaximal, characteristic, complemented
20#20254436C211yesmaximal, characteristic, complemented
21#20254234C211yesmaximal, characteristic, complemented
22#20254158C211yesmaximal, characteristic, complemented
23#20254138C211yesmaximal, characteristic, complemented
24#20253653C211yesmaximal, characteristic, complemented
25#20253590C211yesmaximal, characteristic, complemented
26#20252689C211yesmaximal, characteristic, complemented
27#20252658C211yesmaximal, characteristic, complemented
28#20252609C211yesmaximal, characteristic, complemented
29#449×D47C211yesmaximal, characteristic, complemented
30#20252440C211yesmaximal, characteristic, complemented
31C47×#3203C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C2×#41×D47C2211yescharacteristic, complemented
34C2×#13094052C2211yescharacteristic, complemented
35C2×#13094049C2211yescharacteristic, complemented
36C2×#13094047C2211yescharacteristic, complemented
37C2×#13094045C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C2×SD16×D47C2211yescharacteristic, complemented
40C22×D376C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689869—21no—
43#15689861—21no—
44#15689837C2211yescharacteristic, complemented
45#15689821C2211yescharacteristic, complemented
46#15689807C2211yescharacteristic, complemented
47#15689800—21no—
48#15689792C2211yescharacteristic, complemented
49#15689791C2211yescharacteristic, complemented
50#15689791C2211yescharacteristic, complemented
51#15689783C2211yescharacteristic
52#15689783C2211yescharacteristic, complemented
53#15689774C2211yescharacteristic, complemented
54#15689770—21no—
55#15689764C2211yescharacteristic, complemented
56#15689764C2211yescharacteristic, complemented
57#15689764C2211yescharacteristic, complemented
58#15689762—21no—
59#15689762—21no—
60#15689761C2211yescharacteristic, complemented
61#15689757—21no—
62#15689757—21no—
63#15689757C2211yescharacteristic
64#15689757C2211yescharacteristic, complemented
65#15689757C2211yescharacteristic, complemented
66#15689746C2211yescharacteristic, complemented
67#15689726C2211yescharacteristic, complemented
68#15689723—21no—
69#15689705—21no—
70#15689703—21no—
71#15689689—21no—
72#15689689—21no—
73#15689687C2211yescharacteristic, complemented
74#15689687C2211yescharacteristic, complemented
75#15689681—21no—
76#15689636—21no—
77#15689636C2211yescharacteristic, complemented
78#15689630C2211yescharacteristic
79C2×#13093999C2211yescharacteristic, complemented
80#121×D47—21no—
81#121×D47C2211yescharacteristic, complemented
82#15689604C2211yescharacteristic, complemented
83#15689509C2211yescharacteristic, complemented
84#15689509C2211yescharacteristic, complemented
85#15689508C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic, complemented
87#15689486C2211yescharacteristic, complemented
88#15689484C2211yescharacteristic, complemented
89#15689479C2211yescharacteristic, complemented
90#15689468C2211yescharacteristic, complemented
91#15689461C2211yescharacteristic, complemented
92#15689450C2211yescharacteristic, complemented
93#15689450C2211yescharacteristic, complemented
94#15689444C2211yescharacteristic, complemented
95#15689441C2211yescharacteristic, complemented
96#15689438C2211yescharacteristic, complemented
97#15689438C2211yescharacteristic, complemented
98#15689436C2211yescharacteristic, complemented
99#15689429C2211yescharacteristic, complemented
100#15689426C2211yescharacteristic, complemented
101#15689417C2211yescharacteristic, complemented
102#15689402C2211yescharacteristic, complemented
103#15689374C2211yescharacteristic, complemented
104#15689371C2211yescharacteristic, complemented
105#15689360C2211yescharacteristic, complemented
106#15689360C2211yescharacteristic, complemented
107#15689360C2211yescharacteristic, complemented
108#15689360C2211yescharacteristic, complemented
109#15689358C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689357C2211yescharacteristic, complemented
112#15689355C2211yescharacteristic, complemented
113#15689355C2211yescharacteristic, complemented
114#15689354C2211yescharacteristic, complemented
115#15689348C2211yescharacteristic, complemented
116#15689347C2211yescharacteristic, complemented
117#15689341C2211yescharacteristic, complemented
118#15689341C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic, complemented
120#15689340C2211yescharacteristic, complemented
121#15689322C2211yescharacteristic, complemented
122#15689321C2211yescharacteristic, complemented
123#15689317C2211yescharacteristic, complemented
124#15689317C2211yescharacteristic, complemented
125#15689317C2211yescharacteristic, complemented
126#15689316C2211yescharacteristic, complemented
127#15689283C2211yescharacteristic, complemented
128#15689283C2211yescharacteristic, complemented
129#15689277C2211yescharacteristic, complemented
130#15689273C2211yescharacteristic, complemented
131#15689273C2211yescharacteristic, complemented
132#15689273C2211yescharacteristic, complemented
133#15689272C2211yescharacteristic, complemented
134#15689271C2211yescharacteristic, complemented
135#15689271C2211yescharacteristic, complemented
136#15689271C2211yescharacteristic, complemented
137#15689270C2211yescharacteristic
138#15689270C2211yescharacteristic, complemented
139#15689270C2211yescharacteristic, complemented
140#15689270C2211yescharacteristic, complemented
141#15689269C2211yescharacteristic, complemented
142#15689268C2211yescharacteristic, complemented
143#15689268C2211yescharacteristic, complemented
144#15689267C2211yescharacteristic, complemented
145#15689266C2211yescharacteristic, complemented
146#15689266C2211yescharacteristic, complemented
147#15689265C2211yescharacteristic, complemented
148#15689263C2211yescharacteristic, complemented
149#15689259C2211yescharacteristic, complemented
150#15689259C2211yescharacteristic, complemented
151#15689259C2211yescharacteristic, complemented
152#15689259C2211yescharacteristic, complemented
153#15689258C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689258C2211yescharacteristic, complemented
156#15689256C2211yescharacteristic, complemented
157#15689256C2211yescharacteristic, complemented
158#15689256C2211yescharacteristic, complemented
159#15689232C2211yescharacteristic, complemented
160#15689226C2211yescharacteristic, complemented
161#15689222C2211yescharacteristic, complemented
162#15689222C2211yescharacteristic, complemented
163#15689215C2211yescharacteristic, complemented
164#15689214C2211yescharacteristic, complemented
165#15689205C2211yescharacteristic, complemented
166#15689205C2211yescharacteristic, complemented
167#15689197C2211yescharacteristic, complemented
168#15689197C2211yescharacteristic, complemented
169#15689192C2211yescharacteristic, complemented
170#15689192C2211yescharacteristic, complemented
171C8×C22⋊D47C2211yescharacteristic, complemented
172C8×C22⋊D47C2211yescharacteristic, complemented
173(C22⋊D47)⋊C8C2211yescharacteristic, complemented
174(C22⋊D47)⋊C8C2211yescharacteristic, complemented
175#15689181C2211yescharacteristic, complemented
176#15689181C2211yescharacteristic, complemented
177#15689129C2211yescharacteristic, complemented
178#15689122C2211yescharacteristic, complemented
179#15689120C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic, complemented
181#15689116C2211yescharacteristic, complemented
182#103×D47C2211yescharacteristic, complemented
183C2×#13093944C2211yescharacteristic, complemented
184#102×D47C2211yescharacteristic, complemented
185#15689090C2211yescharacteristic, complemented
186C22⋊C8×D47C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#537C2211yescharacteristic, complemented
189C47×#537C2211yescharacteristic, complemented
190C47×#484C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#480C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#468C2211yescharacteristic, complemented
196C47×#467C2211yescharacteristic, complemented
197C47×#466C2211yescharacteristic, complemented
198C47×#452C2211yescharacteristic, complemented
199C47×#452C2211yescharacteristic, complemented
200C47×#449C2211yescharacteristic, complemented
201C47×#449C2211yescharacteristic, complemented
202C47×#408C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354—21no—
206C2×#10625354C2311yescharacteristic
207C2×#10625354C2311yescharacteristic
208C2×#10625350—21no—
209C2×#10625350—21no—
210C2×#10625350C2311yescharacteristic
211C2×#10625350C2311yescharacteristic
212C2×#10625350C2311yescharacteristic
213C2×#10625352—21no—
214C2×#10625352C2311yescharacteristic
215#41×D47—42no—
216#41×D47—42no—
217C2×Q8×D47C2311yescharacteristic
218C22×D188—21no—
219C22×D188C2311yescharacteristic
220C22×D188C2311yescharacteristic
221C22×D188C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C2×D4×D47—21no—
224C2×D4×D47—21no—
225C2×D4×D47—21no—
226C2×D4×D47—21no—
227C2×D4×D47—21no—
228C2×D4×D47—21no—
229C2×D4×D47—21no—
230C2×D4×D47—21no—
231C2×D4×D47C2311yescharacteristic
232C2×D4×D47C2311yescharacteristic
233C22×C4×D47—21no—
234C22×C4×D47C2311yescharacteristic
235#13094052—42no—
236#13094049—42no—
237#13094047—42no—
238#13094045—42no—
239#13094044—42no—
240C2×#10625337C2311yescharacteristic
241C2×#10625325C2311yescharacteristic
242C2×#10625325C2311yescharacteristic
243C2×#10625335C2311yescharacteristic
244C2×#10625336C2311yescharacteristic
245C2×#10625336C2311yescharacteristic
246C2×#10625336C2311yescharacteristic
247C2×#10625336C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249SD16×D47—42no—
250C2×D376—42no—
251C2×D376C2311yescharacteristic
252C2×D376C2311yescharacteristic
253C2×D376C2311yescharacteristic
254C2×D376C2311yescharacteristic
255C2×D376C2311yescharacteristic
256C2×D376C2311yescharacteristic
257C2×#10625334C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261C2×#10625334C2311yescharacteristic
262D8×D47—42no—
263C2×#10625329C2311yescharacteristic
264C22×C47⋊C8C2311yescharacteristic
265C2×C8×D47C2311yescharacteristic
266C2×C8×D47C2311yescharacteristic
267C2×C8×D47C2311yescharacteristic
268C2×C8×D47C2311yescharacteristic
269#13094023C2311yescharacteristic
270#13094020—21no—
271#13094020—21no—
272#13094020—21no—
273#13094020—21no—
274#13094020C2311yescharacteristic
275#13094020C2311yescharacteristic
276#13094020C2311yescharacteristic
277#13094019—21no—
278#13094019—21no—
279#13094017—21no—
280#13094015C2311yescharacteristic
281#13094014—21no—
282#13094013—21no—
283#13094013C2311yescharacteristic
284#13094013C2311yescharacteristic
285#13094013C2311yescharacteristic
286#13094011—21no—
287#13094010—21no—
288#13094010—21no—
289#13094010—21no—
290#13094010—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009—21no—
294#13094009—21no—
295#13094009—21no—
296#13094009—21no—
297#13094008—21no—
298#13094007—21no—
299#13094007—21no—
300#13094006—21no—
301#13094006—21no—
302#13094006—21no—
303#13094005D411yescharacteristic
304#13094005D411yescharacteristic
305#13094004—21no—
306#13094002—21no—
307#13094002—21no—
308#13094002—21no—
309#13094000D411yescharacteristic
310#13094000D411yescharacteristic
311#13094000C2311yescharacteristic
312#13093999—21no—
313#13093999—21no—
314#13093999—21no—
315#13093999—21no—
316#13093999—21no—
317#13093999C2311yescharacteristic
318#13093999C2311yescharacteristic
319#13093999C2311yescharacteristic
320#13093999C2311yescharacteristic
321#13093999C2311yescharacteristic
322#13093999C2311yescharacteristic
323#13093998—21no—
324#13093998—21no—
325#13093998—21no—
326#13093998—21no—
327#13093998C2311yescharacteristic
328#13093998C2311yescharacteristic
329#13093998C2311yescharacteristic
330#13093998C2311yescharacteristic
331#13093997—21no—
332#13093997—21no—
333#13093997—21no—
334#13093997—21no—
335#13093997—21no—
336#13093997—21no—
337#13093997—21no—
338#13093997—21no—
339#13093996—21no—
340#13093996—21no—
341#13093996—21no—
342#13093996—21no—
343#13093996—21no—
344#13093996—21no—
345#13093995—21no—
346#13093995—21no—
347#13093995D411yescharacteristic
348#13093995D411yescharacteristic
349#13093995C2311yescharacteristic
350#13093994—21no—
351#13093994—21no—
352#13093994—21no—
353#13093994—21no—
354#13093994—21no—
355#13093994—21no—
356#13093994—21no—
357#13093992—21no—
358#13093992—21no—
359#13093992—21no—
360#13093992—21no—
361#13093992—21no—
362#13093992—21no—
363#13093992—21no—
364#13093992—21no—
365#13093992D411yescharacteristic
366#13093992D411yescharacteristic
367Q8×Dic47C2311yescharacteristic
368#13093989C2311yescharacteristic
369#13093989C2311yescharacteristic
370D4×Dic47C2311yescharacteristic
371#13093986—21no—
372#13093986—21no—
373#13093986—21no—
374#13093986C2311yescharacteristic
375#13093986C2311yescharacteristic
376#13093986C2311yescharacteristic
377#13093986C2311yescharacteristic
378C4×C22⋊D47—21no—
379C4×C22⋊D47—21no—
380C4×C22⋊D47—21no—
381C4×C22⋊D47—21no—
382C4×C22⋊D47C2311yescharacteristic
383C4×C22⋊D47C2311yescharacteristic
384C4×C22⋊D47C2311yescharacteristic
385C4×C22⋊D47C2311yescharacteristic
386(C22⋊D47)⋊C4—21no—
387(C22⋊D47)⋊C4—21no—
388(C22⋊D47)⋊C4—21no—
389#13093983C2311yescharacteristic
390#13093983C2311yescharacteristic
391#13093982—21no—
392#13093982—21no—
393#13093982C2311yescharacteristic
394#13093980—21no—
395C4⋊C4×D47—21no—
396C4⋊C4×D47C2311yescharacteristic
397C2×(C2×D47)⋊C4—21no—
398C2×(C2×D47)⋊C4—21no—
399C22⋊C4×D47—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403#13093957C2311yescharacteristic
404#13093957C2311yescharacteristic
405#13093955C2311yescharacteristic
406#13093955C2311yescharacteristic
407Dic47⋊C8C2311yescharacteristic
408Dic47⋊C8C2311yescharacteristic
409Dic47⋊C8C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411#13093949C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093947C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093946C2311yescharacteristic
422#13093946C2311yescharacteristic
423#13093945C2311yescharacteristic
424#13093945C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434#13093944C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436C22⋊(C47⋊C8)C2311yescharacteristic
437C22⋊(C47⋊C8)C2311yescharacteristic
438C22⋊(C47⋊C8)C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443#13093934C2311yescharacteristic
444#13093934C2311yescharacteristic
445C8×Dic47C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47C2311yescharacteristic
448C2×#41×C47C2311yescharacteristic
449C2×#41×C47C2311yescharacteristic
450C2×Q16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×SD16×C47C2311yescharacteristic
453C2×D8×C47C2311yescharacteristic
454C2×M16×C47C2311yescharacteristic
455C22×C8×C47C2311yescharacteristic
456C22⋊Q8×C47—21no—
457C22⋊Q8×C47—21no—
458C22⋊Q8×C47C2311yescharacteristic
459C22⋊Q8×C47C2311yescharacteristic
460C22⋊Q8×C47C2311yescharacteristic
461C22⋊Q8×C47C2311yescharacteristic
462#121×C47—21no—
463#121×C47—21no—
464#121×C47—21no—
465#121×C47—21no—
466#121×C47—21no—
467#121×C47—21no—
468#121×C47C2311yescharacteristic
469#121×C47C2311yescharacteristic
470#121×C47C2311yescharacteristic
471#121×C47C2311yescharacteristic
472C2×C4⋊C4×C47C2311yescharacteristic
473C2×C4⋊C4×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476#107×C47C2311yescharacteristic
477#107×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#102×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486C22⋊C8×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489C22⋊C8×C47C2311yescharacteristic
490C23×D47—21no—
491C23×D47—21no—
492C23×D47—21no—
493C23×D47—21no—
494C23×D47—21no—
495C23×D47—21no—
496C23×D47C2×D411yescharacteristic
497#41×C47—41no—
498#41×C47—41no—
499#41×C47—41no—
500#41×C47—41no—
501#41×C47—41no—
502#41×C47—41no—
503C2×Q8×C47C2×D411yescharacteristic
504C2×Q8×C47C2411yescharacteristic
505C2×Q8×C47C2411yescharacteristic
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47—21no—
511C2×D4×C47—21no—
512C2×D4×C47C2×D411yescharacteristic
513C2×D4×C47C2×D411yescharacteristic
514C2×D4×C47C2×D411yescharacteristic
515C2×D4×C47C2411yescharacteristic
516C2×D4×C47C2411yescharacteristic
517C22×C4×C47—21no—
518C22×C4×C47—21no—
519C22×C4×C47—21no—
520C22×C4×C47—21no—
521C22×C4×C47C2411yescharacteristic
522C22×C4×C47C2411yescharacteristic
523C22×C4×C47C2411yescharacteristic
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—21no—
541C2×C22⋊D47C2×D411yescharacteristic
542C2×C22⋊D47C2×D411yescharacteristic
543C2×C22⋊D47C2×D411yescharacteristic
544C2×C22⋊D47C2×D411yescharacteristic
545C22×Dic47—21no—
546C22×Dic47—21no—
547C22×Dic47C2×D411yescharacteristic
548#10625354—22no—
549#10625354—41no—
550#10625354—44no—
551#10625354—41no—
552#10625354—41no—
553Q8×D47—22no—
554Q8×D47—41no—
555#10625352—22no—
556#10625352—41no—
557#10625352—44no—
558D4×D47—22no—
559D4×D47—41no—
560D4×D47—41no—
561D4×D47—41no—
562D4×D47—44no—
563D4×D47—44no—
564D4×D47—44no—
565D4×D47—44no—
566D4×D47—82no—
567D4×D47—82no—
568D4×D47—82no—
569D4×D47—82no—
570#10625350—22no—
571#10625350—22no—
572#10625350—22no—
573#10625350—22no—
574#10625350—41no—
575#10625350—41no—
576#10625350—44no—
577#10625350—82no—
578C2×D188—22no—
579C2×D188—22no—
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—21no—
589C2×D188—21no—
590C2×D188—21no—
591C2×D188—21no—
592C2×D188—41no—
593C2×D188—41no—
594C2×D188—41no—
595C2×D188—41no—
596C2×D188—41no—
597C2×D188—41no—
598C2×D188—82no—
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—41no—
616C2×C4×D47—41no—
617C2×C4×D47—44no—
618C2×C4×D47C2×D411yescharacteristic
619C2×C4×D47C2×D411yescharacteristic
620C2×C4×D47C2411yescharacteristic
621C2×C4×D47C2411yescharacteristic
622C2×Dic94—21no—
623C2×Dic94—21no—
624C2×Dic94C2411yescharacteristic
625Q16×C47—41no—
626SD16×C47—41no—
627SD16×C47—41no—
628D8×C47—41no—
629M16×C47—41no—
630C2×C8×C47—41no—
631C2×C8×C47C2411yescharacteristic
632C2×C8×C47C2411yescharacteristic
633C2×C8×C47C2411yescharacteristic
634C2×C8×C47C2411yescharacteristic
635C4⋊C4×C47—21no—
636C4⋊C4×C47—21no—
637C4⋊C4×C47—21no—
638C4⋊C4×C47—21no—
639C4⋊C4×C47—21no—
640C4⋊C4×C47—21no—
641C4⋊C4×C47C2411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C4⋊C4×C47C2411yescharacteristic
645C22⋊C4×C47—21no—
646C22⋊C4×C47—21no—
647C22⋊C4×C47—21no—
648C22⋊C4×C47—21no—
649C22⋊C4×C47—21no—
650C22⋊C4×C47—21no—
651C22⋊C4×C47—21no—
652C22⋊C4×C47—21no—
653C22⋊Dic47—21no—
654C22⋊Dic47—21no—
655C22⋊Dic47—21no—
656C22⋊Dic47C2×D411yescharacteristic
657C22⋊Dic47C2×D411yescharacteristic
658C22⋊Dic47C2×D411yescharacteristic
659C22⋊Dic47C2×D411yescharacteristic
660C22⋊Dic47C2×D411yescharacteristic
661C22⋊Dic47C2×D411yescharacteristic
662#10625337—22no—
663#10625336—22no—
664#10625336—41no—
665#10625336—41no—
666#10625336—41no—
667#10625336—41no—
668#10625335—22no—
669#10625334—22no—
670#10625334—41no—
671#10625334—41no—
672#10625334—41no—
673#10625334—41no—
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—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4—21no—
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700C4⋊Dic47—21no—
701C4⋊Dic47—21no—
702C4⋊Dic47C2×D411yescharacteristic
703C4⋊Dic47C2×D411yescharacteristic
704C4⋊Dic47C2411yescharacteristic
705C4⋊Dic47C2411yescharacteristic
706Dic47⋊C4—21no—
707Dic47⋊C4—21no—
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4C2×D411yescharacteristic
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716C4×Dic47—21no—
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47C2411yescharacteristic
722C4×Dic47C2411yescharacteristic
723#10625329—41no—
724C2×C47⋊C8—41no—
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728C2×C47⋊C8C2411yescharacteristic
729D376—22no—
730D376—22no—
731D376—41no—
732D376—41no—
733D376—41no—
734D376—41no—
735#10625325—22no—
736#10625325—22no—
737C8×D47—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47C22×D411yescharacteristic
744C23×C47C22×D411yescharacteristic
745C23×C47C22×D411yescharacteristic
746C22×D47—21no—
747C22×D47—22no—
748C22×D47—21no—
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—21no—
752C22×D47—41no—
753C22×D47—41no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—42no—
760C22×D47—81no—
761C22×D47—81no—
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×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47—21no—
778Q8×C47—41no—
779D4×C47—21no—
780D4×C47—21no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—41no—
784D4×C47—41no—
785D4×C47—41no—
786D4×C47—42no—
787D4×C47—81no—
788D4×C47—81no—
789D4×C47—81no—
790D4×C47—81no—
791D4×C47—81no—
792C2×C4×C47—21no—
793C2×C4×C47—21no—
794C2×C4×C47—21no—
795C2×C4×C47—21no—
796C2×C4×C47—21no—
797C2×C4×C47—21no—
798C2×C4×C47—21no—
799C2×C4×C47—21no—
800C2×C4×C47—21no—
801C2×C4×C47—21no—
802C2×C4×C47—21no—
803C2×C4×C47—21no—
804C2×C4×C47—42no—
805C2×C4×C47—81no—
806C2×C4×C47—81no—
807C2×C4×C47—81no—
808C2×C4×C47C22×D411yescharacteristic
809C2×C4×C47C22×D411yescharacteristic
810C2×C4×C47C22×D411yescharacteristic
811C2×C4×C47C2511yescharacteristic
812C22⋊D47—24no—
813C22⋊D47—22no—
814C22⋊D47—22no—
815C22⋊D47—41no—
816C22⋊D47—41no—
817C22⋊D47—42no—
818C22⋊D47—42no—
819C22⋊D47—42no—
820C22⋊D47—42no—
821C22⋊D47—81no—
822C22⋊D47—81no—
823C22⋊D47—81no—
824C22⋊D47—81no—
825C22⋊D47—81no—
826C22⋊D47—81no—
827C22⋊D47—81no—
828C22⋊D47—81no—
829C22⋊D47—81no—
830C22⋊D47—81no—
831C22⋊D47—81no—
832C22⋊D47—81no—
833C2×Dic47—21no—
834C2×Dic47—21no—
835C2×Dic47—21no—
836C2×Dic47—41no—
837C2×Dic47—42no—
838C2×Dic47—81no—
839C2×Dic47C22×D411yescharacteristic
840C2×Dic47C22×D411yescharacteristic
841C2×Dic47C22×D411yescharacteristic
842C2×Dic47C22×D411yescharacteristic
843C2×Dic47C22×D411yescharacteristic
844C2×Dic47C22×D411yescharacteristic
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—42no—
859D188—42no—
860D188—42no—
861D188—81no—
862D188—81no—
863D188—81no—
864D188—81no—
865D188—81no—
866D188H(5,𝔽2)12yes—
867C4×D47—24no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—41no—
873C4×D47—41no—
874C4×D47—42no—
875C4×D47—42no—
876C4×D47—42no—
877C4×D47—42no—
878C4×D47—42no—
879C4×D47—81no—
880C4×D47—81no—
881C4×D47—81no—
882C4×D47—81no—
883C4×D47—81no—
884Dic94—21no—
885Dic94—42no—
886Dic94—81no—
887Dic94H(5,𝔽2)12yes—
888C8×C47—21no—
889C8×C47—21no—
890C8×C47—21no—
891C8×C47—21no—
892C47⋊C8—21no—
893C47⋊C8—21no—
894C47⋊C8—21no—
895C47⋊C8—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—41no—
907C22×C47—41no—
908C22×C47—41no—
909C22×C47—41no—
910C22×C47—41no—
911C22×C47—41no—
912C22×C47C23×D411yescharacteristic
913C2×D47—21no—
914C2×D47—21no—
915C2×D47—21no—
916C2×D47—22no—
917C2×D47—21no—
918C2×D47—21no—
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—82no—
934C2×D47—84no—
935C2×D47—162no—
936C2×D47—162no—
937C2×D47—162no—
938C2×D47—162no—
939C2×D47—162no—
940C2×D47#57612yes—
941C4×C47—21no—
942C4×C47—21no—
943C4×C47—21no—
944C4×C47—41no—
945C4×C47—41no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47—41no—
950C4×C47C2×H(5,𝔽2)11yescharacteristic
951C4×C47C2×H(5,𝔽2)11yescharacteristic
952Dic47—21no—
953Dic47—21no—
954Dic47—22no—
955Dic47—21no—
956Dic47—21no—
957Dic47—21no—
958Dic47—21no—
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#3203D4711yescharacteristic, complemented
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#2977—471no—
992C2×C47—41no—
993C2×C47—41no—
994C2×C47—41no—
995C2×C47—81no—
996C2×C47—81no—
997C2×C47#348411yescharacteristic
998C2×C47C2×#57611yescharacteristic
999C2×C47#358411yescharacteristic
1000D47—22no—
1001D47—41no—
1002D47—42no—
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—941no—
1046#537C2×D4711yescharacteristic, complemented
1047#537C2×D4711yescharacteristic, complemented
1048#535—471no—
1049#535—471no—
1050#535—941no—
1051#535—941no—
1052#534—941no—
1053#525—471no—
1054#525—471no—
1055#525—941no—
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#484C2×D4711yescharacteristic, complemented
1070#484C2×D4711yescharacteristic, complemented
1071#482—471no—
1072#482—471no—
1073#482—471no—
1074#481—471no—
1075#480—471no—
1076#480—471no—
1077#480—471no—
1078#480C2×D4711yescharacteristic, complemented
1079#480C2×D4711yescharacteristic, complemented
1080#479—471no—
1081#478—471no—
1082#477—471no—
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468C2×D4711yescharacteristic, complemented
1087#468C2×D4711yescharacteristic, complemented
1088#467C2×D4711yescharacteristic, complemented
1089#466—471no—
1090#466—471no—
1091#466—471no—
1092#466—471no—
1093#466—471no—
1094#466—471no—
1095#466—471no—
1096#466C2×D4711yescharacteristic, complemented
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#452C2×D4711yescharacteristic, complemented
1115#452C2×D4711yescharacteristic, complemented
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#449C2×D4711yescharacteristic, complemented
1136#449C2×D4711yescharacteristic, complemented
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#435—471no—
1157#435—471no—
1158#435—471no—
1159#435—471no—
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4—471no—
1164#433—471no—
1165#433—471no—
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#408—471no—
1175#408C2×D4711yescharacteristic, complemented
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
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—941no—
1188C2×#41—941no—
1189C2×#41—941no—
1190C2×#41—941no—
1191C2×#41—1882no—
1192C2×#41—1882no—
1193C2×#41C22×D4711yescharacteristic
1194C2×#41C22×D4711yescharacteristic
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—471no—
1213C23×C4—941no—
1214AGL(1,ℤ/8)—1882no—
1215AGL(1,ℤ/8)—1882no—
1216#135—1882no—
1217#135—1882no—
1218#135—1882no—
1219C2×Q16—471no—
1220C2×Q16C22×D4711yescharacteristic
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—1882no—
1230C2×SD16C22×D4711yescharacteristic
1231C2×SD16C22×D4711yescharacteristic
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—1882no—
1244C2×D8—1882no—
1245C2×D8C22×D4711yescharacteristic
1246C2×M16—471no—
1247C2×M16C22×D4711yescharacteristic
1248C22×C8—471no—
1249C22×C8—471no—
1250C22×C8—471no—
1251C22×C8—471no—
1252C22×C8—471no—
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—471no—
1277#123—471no—
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#123—941no—
1289#123—941no—
1290C22⋊Q8—21no—
1291C22⋊Q8—21no—
1292C22⋊Q8—471no—
1293C22⋊Q8—471no—
1294C22⋊Q8—471no—
1295C22⋊Q8—941no—
1296C22⋊Q8—941no—
1297C22⋊Q8—941no—
1298C22⋊Q8—941no—
1299C22⋊Q8C22×D4711yescharacteristic
1300C22⋊Q8C22×D4711yescharacteristic
1301C22⋊Q8C22×D4711yescharacteristic
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
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—471no—
1319#121—471no—
1320#121—471no—
1321#121—471no—
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#121C22×D4711yescharacteristic
1348#121C22×D4711yescharacteristic
1349#121C22×D4711yescharacteristic
1350#121C22×D4711yescharacteristic
1351#120—471no—
1352#120—471no—
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#120—941no—
1367#120—941no—
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—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—471no—
1380C4×D4—941no—
1381C4×D4—941no—
1382C4×D4—941no—
1383C4×D4—941no—
1384C4×D4—941no—
1385C4×D4—941no—
1386C4×D4—941no—
1387C4×D4—941no—
1388C4×D4—941no—
1389C4×D4—941no—
1390#117—471no—
1391#117—471no—
1392#117—471no—
1393#117—941no—
1394#117—941no—
1395#117—941no—
1396C2×C4⋊C4—471no—
1397C2×C4⋊C4—941no—
1398C2×C4⋊C4C22×D4711yescharacteristic
1399C2×C4⋊C4C22×D4711yescharacteristic
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#107C22×D4711yescharacteristic
1409#107C22×D4711yescharacteristic
1410#107C22×D4711yescharacteristic
1411#107C22×D4711yescharacteristic
1412#106—471no—
1413#106—471no—
1414C4⋊C8—471no—
1415C4⋊C8—471no—
1416C4⋊C8—471no—
1417C4⋊C8—471no—
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103—471no—
1423#103—471no—
1424#103C22×D4711yescharacteristic
1425#103C22×D4711yescharacteristic
1426#103C22×D4711yescharacteristic
1427#103C22×D4711yescharacteristic
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#102C22×D4711yescharacteristic
1447#102C22×D4711yescharacteristic
1448#102C22×D4711yescharacteristic
1449#102C22×D4711yescharacteristic
1450C22⋊C8—471no—
1451C22⋊C8—471no—
1452C22⋊C8—471no—
1453C22⋊C8—471no—
1454C22⋊C8—471no—
1455C22⋊C8—471no—
1456C22⋊C8—471no—
1457C22⋊C8—471no—
1458C22⋊C8C22×D4711yescharacteristic
1459C22⋊C8C22×D4711yescharacteristic
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97—471no—
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—471no—
1467C24—941no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—942no—
1480#41—942no—
1481#41—942no—
1482#41—942no—
1483#41—942no—
1484#41—942no—
1485#41—3762no—
1486#41—1881no—
1487#41—1881no—
1488#41—1884no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1881no—
1493#41—1884no—
1494#41—1884no—
1495C2×Q8—471no—
1496C2×Q8—941no—
1497C2×Q8—941no—
1498C2×Q8—942no—
1499C2×Q8—1881no—
1500C2×Q8D4×D4711yescharacteristic
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—471no—
1510C2×D4—471no—
1511C2×D4—471no—
1512C2×D4—471no—
1513C2×D4—471no—
1514C2×D4—471no—
1515C2×D4—471no—
1516C2×D4—471no—
1517C2×D4—471no—
1518C2×D4—942no—
1519C2×D4—942no—
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—942no—
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—941no—
1549C2×D4—941no—
1550C2×D4—3762no—
1551C2×D4—3762no—
1552C2×D4—3762no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—1881no—
1556C2×D4—1881no—
1557C2×D4—1881no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1881no—
1562C2×D4—1881no—
1563C2×D4—1881no—
1564C2×D4—1884no—
1565C2×D4—1884no—
1566C2×D4—1884no—
1567C2×D4—1884no—
1568C2×D4D4×D4711yescharacteristic
1569C2×D4D4×D4711yescharacteristic
1570C2×D4D4×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—471no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
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—941no—
1593C22×C4—941no—
1594C22×C4—941no—
1595C22×C4—1881no—
1596C22×C4—1881no—
1597C22×C4—1884no—
1598C22×C4C23×D4711yescharacteristic
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—41no—
1602Q16—942no—
1603SD16—41no—
1604SD16—41no—
1605SD16—942no—
1606SD16—942no—
1607SD16—942no—
1608SD16—942no—
1609SD16—1881no—
1610SD16—1881no—
1611SD16—1881no—
1612SD16—1881no—
1613D8—41no—
1614D8—942no—
1615D8—942no—
1616D8—942no—
1617D8—1881no—
1618D8—1881no—
1619D8—1881no—
1620D8—1881no—
1621D8—1881no—
1622D8—1881no—
1623D8—1881no—
1624D8—1881no—
1625M16—41no—
1626M16—1881no—
1627C2×C8—41no—
1628C2×C8—471no—
1629C2×C8—471no—
1630C2×C8—471no—
1631C2×C8—471no—
1632C2×C8—1881no—
1633C2×C8—1881no—
1634C2×C8—1881no—
1635C2×C8—1881no—
1636C2×C8—1881no—
1637C2×C8C23×D4711yescharacteristic
1638C2×C8C23×D4711yescharacteristic
1639C2×C8C23×D4711yescharacteristic
1640C2×C8C23×D4711yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—21no—
1646C4⋊C4—21no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—471no—
1653C4⋊C4—471no—
1654C4⋊C4—471no—
1655C4⋊C4—941no—
1656C4⋊C4—941no—
1657C4⋊C4—941no—
1658C4⋊C4—941no—
1659C4⋊C4—941no—
1660C4⋊C4—941no—
1661C4⋊C4—941no—
1662C4⋊C4—941no—
1663C4⋊C4C23×D4711yescharacteristic
1664C4⋊C4C23×D4711yescharacteristic
1665C4⋊C4C23×D4711yescharacteristic
1666C4⋊C4C23×D4711yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
1682C22⋊C4—471no—
1683C22⋊C4—471no—
1684C22⋊C4—471no—
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⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4—941no—
1709C22⋊C4—941no—
1710C42—471no—
1711C42—471no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42—941no—
1717C23—21no—
1718C23—21no—
1719C23—471no—
1720C23—471no—
1721C23—942no—
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—1881no—
1740C23—1881no—
1741C23—1882no—
1742C23—1882no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23C2×D4×D4711yescharacteristic
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—41no—
1755Q8—472no—
1756Q8—941no—
1757Q8—3761no—
1758Q8—1882no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—41no—
1764D4—41no—
1765D4—41no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—472no—
1773D4—942no—
1774D4—942no—
1775D4—944no—
1776D4—941no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—941no—
1781D4—941no—
1782D4—941no—
1783D4—941no—
1784D4—941no—
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—1882no—
1803D4—1882no—
1804D4—1882no—
1805D4—1882no—
1806D4—1882no—
1807D4—1882no—
1808D4—1882no—
1809D4—1881no—
1810D4—1881no—
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—21no—
1826C2×C4—21no—
1827C2×C4—42no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—81no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—471no—
1834C2×C4—471no—
1835C2×C4—471no—
1836C2×C4—471no—
1837C2×C4—944no—
1838C2×C4—941no—
1839C2×C4—941no—
1840C2×C4—941no—
1841C2×C4—941no—
1842C2×C4—941no—
1843C2×C4—941no—
1844C2×C4—941no—
1845C2×C4—3761no—
1846C2×C4—3761no—
1847C2×C4—3761no—
1848C2×C4—3761no—
1849C2×C4—3761no—
1850C2×C4—3761no—
1851C2×C4—1881no—
1852C2×C4—1881no—
1853C2×C4—1882no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1882no—
1858C2×C4—1881no—
1859C2×C4—1882no—
1860C2×C4C2×D4×D4711yescharacteristic
1861C2×C4C2×D4×D4711yescharacteristic
1862C2×C4C2×D4×D4711yescharacteristic
1863C2×C4C24×D4711yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—941no—
1869C8—941no—
1870C8—941no—
1871C8—941no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—472no—
1888C22—941no—
1889C22—941no—
1890C22—941no—
1891C22—941no—
1892C22—942no—
1893C22—941no—
1894C22—3762no—
1895C22—3764no—
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—1881no—
1910C22—7522no—
1911C22—7522no—
1912C22—7522no—
1913C22—7522no—
1914C22—7522no—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—941no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—941no—
1930C4—941no—
1931C4—942no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4H(5,𝔽2)×D4711yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—41no—
1939C2—81no—
1940C2—81no—
1941C2—942no—
1942C2—3761no—
1943C2—3761no—
1944C2—3761no—
1945C2—3761no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025702011yescharacteristic
1949C2#576×D4711yescharacteristic
1950C2#2025815811yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3203C2
socleC22×C47C23×D4
hypercenter#3203D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3203

Complements

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

NH ≅ G/Ntype
1. #20257692C2semidirect
2. #20257052C2semidirect
3. #20255539C2semidirect
4. #20255404C2semidirect
5. #20255397C2semidirect
6. #20255382C2semidirect
7. #20255333C2semidirect
8. #20255270C2semidirect
9. #20255236C2semidirect
10. #20255199C2semidirect
11. #20255141C2semidirect
12. #20255093C2semidirect
13. #20255070C2semidirect
14. #20255062C2semidirect
15. #20254935C2semidirect
16. #20254931C2semidirect
17. #20254890C2semidirect
18. #20254871C2semidirect
19. #20254488C2semidirect
20. #20254436C2semidirect
21. #20254234C2semidirect
22. #20254158C2semidirect
23. #20254138C2semidirect
24. #20253653C2semidirect
25. #20253590C2semidirect
26. #20252689C2semidirect
27. #20252658C2semidirect
28. #20252609C2semidirect
29. #449×D47C2semidirect
30. #20252440C2semidirect
31. C47×#3203C2semidirect
32. C2×#13094070C22semidirect
33. C2×#41×D47C22semidirect
34. C2×#13094052C22semidirect
35. C2×#13094049C22semidirect
36. C2×#13094047C22semidirect
37. C2×#13094045C22semidirect
38. C2×#13094044C22semidirect
39. C2×SD16×D47C22semidirect
40. C22×D376C22semidirect
41. C2×D8×D47C22semidirect
44. #15689837C22semidirect
45. #15689821C22semidirect
46. #15689807C22semidirect
48. #15689792C22semidirect
49. #15689791C22semidirect
50. #15689791C22semidirect
52. #15689783C22semidirect
53. #15689774C22semidirect
55. #15689764C22semidirect
56. #15689764C22semidirect
57. #15689764C22semidirect
60. #15689761C22semidirect
64. #15689757C22semidirect
65. #15689757C22semidirect
66. #15689746C22semidirect
67. #15689726C22semidirect
73. #15689687C22semidirect
74. #15689687C22semidirect
77. #15689636C22semidirect
79. C2×#13093999C22semidirect
81. #121×D47C22semidirect
82. #15689604C22semidirect
83. #15689509C22semidirect
84. #15689509C22semidirect
85. #15689508C22semidirect
86. #15689498C22semidirect
87. #15689486C22semidirect
88. #15689484C22semidirect
89. #15689479C22semidirect
90. #15689468C22semidirect
91. #15689461C22semidirect
92. #15689450C22semidirect
93. #15689450C22semidirect
94. #15689444C22semidirect
95. #15689441C22semidirect
96. #15689438C22semidirect
97. #15689438C22semidirect
98. #15689436C22semidirect
99. #15689429C22semidirect
100. #15689426C22semidirect
101. #15689417C22semidirect
102. #15689402C22semidirect
103. #15689374C22semidirect
104. #15689371C22semidirect
105. #15689360C22semidirect
106. #15689360C22semidirect
107. #15689360C22semidirect
108. #15689360C22semidirect
109. #15689358C22semidirect
110. #15689358C22semidirect
111. #15689357C22semidirect
112. #15689355C22semidirect
113. #15689355C22semidirect
114. #15689354C22semidirect
115. #15689348C22semidirect
116. #15689347C22semidirect
117. #15689341C22semidirect
118. #15689341C22semidirect
119. #15689341C22semidirect
120. #15689340C22semidirect
121. #15689322C22semidirect
122. #15689321C22semidirect
123. #15689317C22semidirect
124. #15689317C22semidirect
125. #15689317C22semidirect
126. #15689316C22semidirect
127. #15689283C22semidirect
128. #15689283C22semidirect
129. #15689277C22semidirect
130. #15689273C22semidirect
131. #15689273C22semidirect
132. #15689273C22semidirect
133. #15689272C22semidirect
134. #15689271C22semidirect
135. #15689271C22semidirect
136. #15689271C22semidirect
138. #15689270C22semidirect
139. #15689270C22semidirect
140. #15689270C22semidirect
141. #15689269C22semidirect
142. #15689268C22semidirect
143. #15689268C22semidirect
144. #15689267C22semidirect
145. #15689266C22semidirect
146. #15689266C22semidirect
147. #15689265C22semidirect
148. #15689263C22semidirect
149. #15689259C22semidirect
150. #15689259C22semidirect
151. #15689259C22semidirect
152. #15689259C22semidirect
153. #15689258C22semidirect
154. #15689258C22semidirect
155. #15689258C22semidirect
156. #15689256C22semidirect
157. #15689256C22semidirect
158. #15689256C22semidirect
159. #15689232C22semidirect
160. #15689226C22semidirect
161. #15689222C22semidirect
162. #15689222C22semidirect
163. #15689215C22semidirect
164. #15689214C22semidirect
165. #15689205C22semidirect
166. #15689205C22semidirect
167. #15689197C22semidirect
168. #15689197C22semidirect
169. #15689192C22semidirect
170. #15689192C22semidirect
171. C8×C22⋊D47C22semidirect
172. C8×C22⋊D47C22semidirect
173. (C22⋊D47)⋊C8C22semidirect
174. (C22⋊D47)⋊C8C22semidirect
175. #15689181C22semidirect
176. #15689181C22semidirect
177. #15689129C22semidirect
178. #15689122C22semidirect
179. #15689120C22semidirect
180. #15689118C22semidirect
181. #15689116C22semidirect
182. #103×D47C22semidirect
183. C2×#13093944C22semidirect
184. #102×D47C22semidirect
185. #15689090C22semidirect
186. C22⋊C8×D47C22semidirect
187. C22⋊C8×D47C22semidirect
188. C47×#537C22semidirect
189. C47×#537C22semidirect
190. C47×#484C22semidirect
191. C47×#484C22semidirect
192. C47×#480C22semidirect
193. C47×#480C22semidirect
194. C47×#468C22semidirect
195. C47×#468C22semidirect
196. C47×#467C22semidirect
197. C47×#466C22semidirect
198. C47×#452C22semidirect
199. C47×#452C22semidirect
200. C47×#449C22semidirect
201. C47×#449C22semidirect
202. C47×#408C22semidirect
981. #3203D47semidirect
1046. #537C2×D47semidirect
1047. #537C2×D47semidirect
1069. #484C2×D47semidirect
1070. #484C2×D47semidirect
1078. #480C2×D47semidirect
1079. #480C2×D47semidirect
1086. #468C2×D47semidirect
1087. #468C2×D47semidirect
1088. #467C2×D47semidirect
1096. #466C2×D47semidirect
1114. #452C2×D47semidirect
1115. #452C2×D47semidirect
1135. #449C2×D47semidirect
1136. #449C2×D47semidirect
1175. #408C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202576922
#202570522
#202555392
#202554042
#202553972
#202553822
#202553332
#202552702
#202552362
#202551992
#202551412
#202550932
#202550702
#202550622
#202549352
#202549312
#202548902
#202548712
#202544882
#202544362
#202542342
#202541582
#202541382
#202536532
#202535902
#202526892
#202526582
#202526092
#449×D472
#202524402
C47×#32032
#6163947