Finite Group Databasebeta

← #27102522

Subgroups — #27102522

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#20257705C211yesmaximal, characteristic, complemented
2#20257054C211yesmaximal, characteristic, complemented
3#20255543C211yesmaximal, characteristic, complemented
4#20255407C211yesmaximal, characteristic, complemented
5#20255395C211yesmaximal, characteristic, complemented
6#20255335C211yesmaximal, characteristic, complemented
7#20255271C211yesmaximal, characteristic, complemented
8#20255236C211yesmaximal, characteristic, complemented
9#20255195C211yesmaximal, characteristic, complemented
10#20255141C211yesmaximal, characteristic, complemented
11#20255096C211yesmaximal, characteristic, complemented
12#20255068C211yesmaximal, characteristic, complemented
13#20255062C211yesmaximal, characteristic, complemented
14#20254935C211yesmaximal, characteristic, complemented
15#20254930C211yesmaximal, characteristic, complemented
16#20254876C211yesmaximal, characteristic, complemented
17#20254873C211yesmaximal, characteristic, complemented
18#20254483C211yesmaximal, characteristic, complemented
19#20254435C211yesmaximal, characteristic, complemented
20#20254292C211yesmaximal, characteristic, complemented
21#20254241C211yesmaximal, characteristic, complemented
22#20254148C211yesmaximal, characteristic, complemented
23#20254138C211yesmaximal, characteristic, complemented
24#20253657C211yesmaximal, characteristic, complemented
25#20253585C211yesmaximal, characteristic, complemented
26#20252694C211yesmaximal, characteristic, complemented
27#20252653C211yesmaximal, characteristic, complemented
28#20252605C211yesmaximal, characteristic, complemented
29C2×#15689271C211yesmaximal, characteristic, complemented
30#20252439C211yesmaximal, characteristic, complemented
31C47×#3308C211yesmaximal, characteristic, complemented
32C2×#13094070C2211yescharacteristic, complemented
33C22×#10625354C2211yescharacteristic, complemented
34C2×#13094052C2211yescharacteristic, complemented
35C2×#13094051C2211yescharacteristic, complemented
36C2×#13094045C2211yescharacteristic, complemented
37C2×#13094045C2211yescharacteristic, complemented
38C2×#13094044C2211yescharacteristic, complemented
39C22×#10625336C2211yescharacteristic, complemented
40C22×D376C2211yescharacteristic, complemented
41C2×D8×D47C2211yescharacteristic, complemented
42#15689869—21no—
43#15689863—21no—
44#15689839C2211yescharacteristic, complemented
45#15689821C2211yescharacteristic, complemented
46#15689808C2211yescharacteristic, complemented
47#15689796—21no—
48#15689795C2211yescharacteristic, complemented
49#15689792C2211yescharacteristic, complemented
50#15689791C2211yescharacteristic, complemented
51#15689784C2211yescharacteristic
52#15689769C2211yescharacteristic, complemented
53#15689768C2211yescharacteristic, complemented
54#15689766—21no—
55#15689766C2211yescharacteristic, complemented
56#15689764—21no—
57#15689764C2211yescharacteristic, complemented
58#15689761—21no—
59D4×D188—21no—
60D4×D188C2211yescharacteristic, complemented
61#15689757—21no—
62#15689757C2211yescharacteristic
63#15689757C2211yescharacteristic, complemented
64#15689747C2211yescharacteristic, complemented
65#15689725—21no—
66#15689724C2211yescharacteristic, complemented
67#15689713—21no—
68#15689704C2211yescharacteristic, complemented
69#15689703—21no—
70#15689703C2211yescharacteristic, complemented
71#15689691—21no—
72#15689691C2211yescharacteristic, complemented
73#15689689C2211yescharacteristic, complemented
74#15689687—21no—
75#15689684—21no—
76#15689633C2211yescharacteristic, complemented
77#15689632—21no—
78#15689632C2211yescharacteristic
79C2×#13093999C2211yescharacteristic, complemented
80#121×D47—21no—
81#121×D47C2211yescharacteristic, complemented
82#15689605C2211yescharacteristic, complemented
83#15689512C2211yescharacteristic, complemented
84#15689509C2211yescharacteristic, complemented
85#15689505C2211yescharacteristic, complemented
86#15689498C2211yescharacteristic, complemented
87#15689486C2211yescharacteristic, complemented
88#15689479C2211yescharacteristic, complemented
89#15689471C2211yescharacteristic, complemented
90#15689462C2211yescharacteristic, complemented
91#15689460C2211yescharacteristic, complemented
92#15689450C2211yescharacteristic, complemented
93#15689450C2211yescharacteristic, complemented
94#15689446C2211yescharacteristic, complemented
95#15689440C2211yescharacteristic, complemented
96#15689438C2211yescharacteristic, complemented
97#15689438C2211yescharacteristic, complemented
98#15689436C2211yescharacteristic, complemented
99#15689436C2211yescharacteristic, complemented
100#15689428C2211yescharacteristic, complemented
101#15689426C2211yescharacteristic, complemented
102#15689400C2211yescharacteristic, complemented
103#15689376C2211yescharacteristic, complemented
104#15689372C2211yescharacteristic, complemented
105#15689370C2211yescharacteristic, complemented
106#15689363C2211yescharacteristic, complemented
107#15689360C2211yescharacteristic, complemented
108#15689360C2211yescharacteristic, complemented
109#15689360C2211yescharacteristic, complemented
110#15689358C2211yescharacteristic, complemented
111#15689358C2211yescharacteristic, complemented
112#15689357C2211yescharacteristic, complemented
113#15689357C2211yescharacteristic, complemented
114#15689354C2211yescharacteristic, complemented
115#15689352C2211yescharacteristic, complemented
116#15689350C2211yescharacteristic, complemented
117#15689348C2211yescharacteristic, complemented
118#15689345C2211yescharacteristic, complemented
119#15689341C2211yescharacteristic, complemented
120#15689339C2211yescharacteristic, complemented
121#15689335C2211yescharacteristic, complemented
122#15689322C2211yescharacteristic, complemented
123#15689321C2211yescharacteristic, complemented
124#15689319C2211yescharacteristic, complemented
125#15689318C2211yescharacteristic, complemented
126#15689317C2211yescharacteristic, complemented
127#15689317C2211yescharacteristic, complemented
128#15689288C2211yescharacteristic, complemented
129#15689288C2211yescharacteristic, complemented
130#15689288C2211yescharacteristic, complemented
131#15689283C2211yescharacteristic, complemented
132#15689279C2211yescharacteristic, complemented
133#15689276C2211yescharacteristic, complemented
134#15689275C2211yescharacteristic, complemented
135#15689275C2211yescharacteristic, complemented
136#15689272C2211yescharacteristic, complemented
137#15689271C2211yescharacteristic
138#15689271C2211yescharacteristic, complemented
139#15689271C2211yescharacteristic, complemented
140#15689271C2211yescharacteristic, complemented
141#15689271C2211yescharacteristic, complemented
142#15689271C2211yescharacteristic, complemented
143#15689271C2211yescharacteristic, complemented
144#15689271C2211yescharacteristic, complemented
145#15689271C2211yescharacteristic, complemented
146#15689270C2211yescharacteristic, complemented
147#15689269C2211yescharacteristic, complemented
148#15689268C2211yescharacteristic, complemented
149#15689267C2211yescharacteristic, complemented
150#15689267C2211yescharacteristic, complemented
151#15689265C2211yescharacteristic, complemented
152#15689259C2211yescharacteristic, complemented
153#15689259C2211yescharacteristic, complemented
154#15689258C2211yescharacteristic, complemented
155#15689258C2211yescharacteristic, complemented
156#15689258C2211yescharacteristic, complemented
157#15689258C2211yescharacteristic, complemented
158#15689256C2211yescharacteristic, complemented
159#15689256C2211yescharacteristic, complemented
160#15689256C2211yescharacteristic, complemented
161#15689255C2211yescharacteristic, complemented
162#15689236C2211yescharacteristic, complemented
163#15689226C2211yescharacteristic, complemented
164#15689222C2211yescharacteristic, complemented
165#15689215C2211yescharacteristic, complemented
166C4×#10625336C2211yescharacteristic, complemented
167#15689205C2211yescharacteristic, complemented
168C4×#10625334C2211yescharacteristic, complemented
169#15689196C2211yescharacteristic, complemented
170#15689192C2211yescharacteristic, complemented
171#15689191C2211yescharacteristic, complemented
172D4×C47⋊C8C2211yescharacteristic, complemented
173#15689188C2211yescharacteristic, complemented
174C8×C22⋊D47C2211yescharacteristic, complemented
175(C22⋊D47)⋊C8C2211yescharacteristic, complemented
176#15689185C2211yescharacteristic, complemented
177#15689183C2211yescharacteristic, complemented
178#15689126C2211yescharacteristic, complemented
179#15689118C2211yescharacteristic, complemented
180#15689118C2211yescharacteristic, complemented
181#15689118C2211yescharacteristic, complemented
182C2×#13093944C2211yescharacteristic, complemented
183C2×#13093944C2211yescharacteristic, complemented
184#15689091C2211yescharacteristic, complemented
185#15689088C2211yescharacteristic, complemented
186C2×(C2×D47)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D47C2211yescharacteristic, complemented
188C47×#548C2211yescharacteristic, complemented
189C47×#547C2211yescharacteristic, complemented
190C47×#489C2211yescharacteristic, complemented
191C47×#484C2211yescharacteristic, complemented
192C47×#480C2211yescharacteristic, complemented
193C47×#477C2211yescharacteristic, complemented
194C47×#468C2211yescharacteristic, complemented
195C47×#466C2211yescharacteristic, complemented
196C47×#463C2211yescharacteristic, complemented
197C47×#449C2211yescharacteristic, complemented
198C47×#448C2211yescharacteristic, complemented
199C47×#440C2211yescharacteristic, complemented
200C47×#435C2211yescharacteristic, complemented
201C47×#417C2211yescharacteristic, complemented
202C2×#103×C47C2211yescharacteristic, complemented
203#13094070—42no—
204#13094070—42no—
205C2×#10625354—21no—
206C2×#10625354—21no—
207C2×#10625354—42no—
208C2×#10625354—42no—
209C2×#10625354C2311yescharacteristic
210C2×#10625354C2311yescharacteristic
211C2×#10625354C2311yescharacteristic
212C2×#10625354C2311yescharacteristic
213C2×#10625354C2311yescharacteristic
214C2×#10625350—21no—
215C2×#10625350C2311yescharacteristic
216C2×#10625350C2311yescharacteristic
217C2×#10625352C2311yescharacteristic
218C22×D188—21no—
219C22×D188—21no—
220C22×D188—21no—
221C22×D188C2311yescharacteristic
222C22×D188C2311yescharacteristic
223C22×D188C2311yescharacteristic
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×D47C2311yescharacteristic
231C2×D4×D47C2311yescharacteristic
232C2×D4×D47C2311yescharacteristic
233C22×C4×D47—21no—
234C22×C4×D47C2311yescharacteristic
235#13094052—42no—
236#13094051—42no—
237#13094045—42no—
238#13094045—42no—
239#13094044—42no—
240C2×#10625337C2311yescharacteristic
241C2×#10625337C2311yescharacteristic
242C2×#10625325C2311yescharacteristic
243C2×#10625325C2311yescharacteristic
244C2×#10625325C2311yescharacteristic
245C2×#10625335C2311yescharacteristic
246C2×#10625336—42no—
247C2×#10625336C2311yescharacteristic
248C2×#10625336C2311yescharacteristic
249C2×#10625336C2311yescharacteristic
250C2×#10625336C2311yescharacteristic
251C2×D376—42no—
252C2×D376C2311yescharacteristic
253C2×D376C2311yescharacteristic
254C2×D376C2311yescharacteristic
255C2×D376C2311yescharacteristic
256C2×D376C2311yescharacteristic
257C2×D376C2311yescharacteristic
258C2×#10625334C2311yescharacteristic
259C2×#10625334C2311yescharacteristic
260C2×#10625334C2311yescharacteristic
261C2×#10625334C2311yescharacteristic
262C2×#10625334C2311yescharacteristic
263D8×D47—42no—
264C2×#10625324C2311yescharacteristic
265C22×C47⋊C8C2311yescharacteristic
266C22×C47⋊C8C2311yescharacteristic
267C2×C8×D47C2311yescharacteristic
268C2×C8×D47C2311yescharacteristic
269C2×C8×D47C2311yescharacteristic
270#13094021—21no—
271#13094021C2311yescharacteristic
272#13094020—21no—
273#13094020—21no—
274#13094020—21no—
275#13094020C2311yescharacteristic
276#13094020C2311yescharacteristic
277#13094019—21no—
278#13094019—21no—
279#13094019—21no—
280#13094015C2311yescharacteristic
281#13094014—21no—
282#13094013—21no—
283#13094013—21no—
284#13094013—21no—
285#13094013—21no—
286#13094013C2311yescharacteristic
287#13094012C2311yescharacteristic
288#13094010—21no—
289#13094009—21no—
290#13094009—21no—
291#13094009—21no—
292#13094009—21no—
293#13094009D411yescharacteristic
294#13094008—21no—
295#13094007—21no—
296#13094007—21no—
297#13094006—21no—
298#13094006—21no—
299#13094006—21no—
300#13094006D411yescharacteristic
301#13094004—21no—
302#13094004C2311yescharacteristic
303#13094004C2311yescharacteristic
304#13094003C2311yescharacteristic
305#13094002—21no—
306#13094002D411yescharacteristic
307#13094001D411yescharacteristic
308#13094000—21no—
309#13094000—21no—
310#13094000C2311yescharacteristic
311#13093999—21no—
312#13093999—21no—
313#13093999—21no—
314#13093999—21no—
315#13093999—21no—
316#13093999—21no—
317#13093999—21no—
318#13093999—21no—
319#13093999—21no—
320#13093999C2311yescharacteristic
321#13093999C2311yescharacteristic
322#13093999C2311yescharacteristic
323#13093999C2311yescharacteristic
324#13093999C2311yescharacteristic
325#13093999C2311yescharacteristic
326#13093999C2311yescharacteristic
327#13093998—21no—
328#13093998—21no—
329#13093998—21no—
330#13093998—21no—
331#13093998—21no—
332#13093998—21no—
333#13093998—21no—
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#13093997D411yescharacteristic
349#13093996—21no—
350#13093996—21no—
351#13093996D411yescharacteristic
352#13093995—21no—
353#13093995C2311yescharacteristic
354#13093995C2311yescharacteristic
355#13093994—21no—
356#13093994—21no—
357#13093994—21no—
358#13093994—21no—
359#13093994—21no—
360#13093994—21no—
361#13093994—21no—
362#13093994—21no—
363#13093994—21no—
364#13093994—21no—
365#13093994D411yescharacteristic
366#13093992—21no—
367#13093992—21no—
368#13093992—21no—
369#13093992—21no—
370#13093992—21no—
371#13093992D411yescharacteristic
372Q8×Dic47C2311yescharacteristic
373#13093989C2311yescharacteristic
374C4×D188—21no—
375C4×D188—21no—
376C4×D188C2311yescharacteristic
377C4×D188C2311yescharacteristic
378C4×D188C2311yescharacteristic
379D4×Dic47—21no—
380#13093986—21no—
381#13093986C2311yescharacteristic
382#13093986C2311yescharacteristic
383C4×C22⋊D47—21no—
384C4×C22⋊D47—21no—
385C4×C22⋊D47—21no—
386C4×C22⋊D47C2311yescharacteristic
387C4×C22⋊D47C2311yescharacteristic
388(C22⋊D47)⋊C4—21no—
389(C22⋊D47)⋊C4—21no—
390#13093983—21no—
391#13093982—21no—
392#13093982C2311yescharacteristic
393#13093982C2311yescharacteristic
394#13093981—21no—
395#13093981C2311yescharacteristic
396C4⋊C4×D47—21no—
397C4⋊C4×D47C2311yescharacteristic
398C2×(C2×D47)⋊C4—21no—
399C2×(C2×D47)⋊C4—21no—
400C22⋊C4×D47—21no—
401C22⋊C4×D47—21no—
402C22⋊C4×D47—21no—
403C22⋊C4×D47—21no—
404#13093957C2311yescharacteristic
405#13093957C2311yescharacteristic
406#13093957C2311yescharacteristic
407#13093956C2311yescharacteristic
408#13093955C2311yescharacteristic
409C4⋊(C47⋊C8)C2311yescharacteristic
410Dic47⋊C8C2311yescharacteristic
411Dic47⋊C8C2311yescharacteristic
412#13093949C2311yescharacteristic
413#13093948C2311yescharacteristic
414#13093948C2311yescharacteristic
415#13093947C2311yescharacteristic
416#13093946C2311yescharacteristic
417#13093946C2311yescharacteristic
418#13093946C2311yescharacteristic
419#13093946C2311yescharacteristic
420#13093946C2311yescharacteristic
421#13093945C2311yescharacteristic
422#13093945C2311yescharacteristic
423#13093944C2311yescharacteristic
424#13093944C2311yescharacteristic
425#13093944C2311yescharacteristic
426#13093944C2311yescharacteristic
427#13093944C2311yescharacteristic
428#13093944C2311yescharacteristic
429#13093944C2311yescharacteristic
430#13093944C2311yescharacteristic
431#13093944C2311yescharacteristic
432#13093944C2311yescharacteristic
433#13093944C2311yescharacteristic
434C22⋊(C47⋊C8)C2311yescharacteristic
435C22⋊(C47⋊C8)C2311yescharacteristic
436(C2×D47)⋊C8C2311yescharacteristic
437(C2×D47)⋊C8C2311yescharacteristic
438(C2×D47)⋊C8C2311yescharacteristic
439(C2×D47)⋊C8C2311yescharacteristic
440(C2×D47)⋊C8C2311yescharacteristic
441(C2×D47)⋊C8C2311yescharacteristic
442(C2×D47)⋊C8C2311yescharacteristic
443(C2×D47)⋊C8C2311yescharacteristic
444#13093934C2311yescharacteristic
445C4×C47⋊C8C2311yescharacteristic
446C8×Dic47C2311yescharacteristic
447C2×#41×C47—21no—
448C2×#41×C47C2311yescharacteristic
449C22×Q8×C47C2311yescharacteristic
450C2×SD16×C47C2311yescharacteristic
451C2×SD16×C47C2311yescharacteristic
452C2×D8×C47C2311yescharacteristic
453C2×M16×C47C2311yescharacteristic
454C22×C8×C47C2311yescharacteristic
455C4⋊Q8×C47C2311yescharacteristic
456#124×C47—21no—
457#124×C47C2311yescharacteristic
458#123×C47—21no—
459#123×C47—21no—
460C22⋊Q8×C47—21no—
461C22⋊Q8×C47—21no—
462C22⋊Q8×C47C2311yescharacteristic
463#121×C47—21no—
464#121×C47C2311yescharacteristic
465#121×C47C2311yescharacteristic
466#121×C47C2311yescharacteristic
467C4×Q8×C47C2311yescharacteristic
468C4×D4×C47—21no—
469C4×D4×C47C2311yescharacteristic
470C4×D4×C47C2311yescharacteristic
471C2×C4⋊C4×C47C2311yescharacteristic
472C2×C4⋊C4×C47C2311yescharacteristic
473#107×C47C2311yescharacteristic
474#107×C47C2311yescharacteristic
475#107×C47C2311yescharacteristic
476C4⋊C8×C47C2311yescharacteristic
477#103×C47C2311yescharacteristic
478#103×C47C2311yescharacteristic
479#103×C47C2311yescharacteristic
480#103×C47C2311yescharacteristic
481#103×C47C2311yescharacteristic
482#103×C47C2311yescharacteristic
483#102×C47C2311yescharacteristic
484#102×C47C2311yescharacteristic
485#102×C47C2311yescharacteristic
486#102×C47C2311yescharacteristic
487C22⋊C8×C47C2311yescharacteristic
488C22⋊C8×C47C2311yescharacteristic
489#97×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—22no—
498#41×C47—41no—
499#41×C47—82no—
500C2×Q8×C47—21no—
501C2×Q8×C47—21no—
502C2×Q8×C47—22no—
503C2×Q8×C47—41no—
504C2×Q8×C47C2411yescharacteristic
505C2×Q8×C47C2411yescharacteristic
506C2×D4×C47—21no—
507C2×D4×C47—21no—
508C2×D4×C47—21no—
509C2×D4×C47—21no—
510C2×D4×C47C2×D411yescharacteristic
511C2×D4×C47C2411yescharacteristic
512C2×D4×C47C2411yescharacteristic
513C22×C4×C47—21no—
514C22×C4×C47—21no—
515C22×C4×C47—21no—
516C22×C4×C47—21no—
517C22×C4×C47—21no—
518C22×C4×C47C2411yescharacteristic
519C22×C4×C47C2411yescharacteristic
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⋊D47C2×D411yescharacteristic
535C2×C22⋊D47C2×D411yescharacteristic
536C2×C22⋊D47C2×D411yescharacteristic
537C2×C22⋊D47C2×D411yescharacteristic
538C22×Dic47—21no—
539C22×Dic47C2×D411yescharacteristic
540#10625354—22no—
541#10625354—22no—
542#10625354—22no—
543#10625354—22no—
544#10625354—22no—
545#10625354—41no—
546#10625354—41no—
547#10625354—41no—
548#10625354—41no—
549#10625354—41no—
550#10625354—44no—
551#10625354—44no—
552#10625352—41no—
553#10625352—41no—
554D4×D47—22no—
555D4×D47—41no—
556D4×D47—41no—
557D4×D47—41no—
558D4×D47—41no—
559D4×D47—41no—
560D4×D47—44no—
561D4×D47—44no—
562D4×D47—82no—
563D4×D47—82no—
564D4×D47—82no—
565D4×D47—82no—
566#10625350—41no—
567#10625350—41no—
568#10625350—41no—
569#10625350—41no—
570#10625350—44no—
571C2×D188—21no—
572C2×D188—22no—
573C2×D188—22no—
574C2×D188—21no—
575C2×D188—21no—
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—21no—
589C2×D188—21no—
590C2×D188—41no—
591C2×D188—41no—
592C2×D188—41no—
593C2×D188—41no—
594C2×D188—44no—
595C2×D188—44no—
596C2×D188—82no—
597C2×D188C2×D411yescharacteristic
598C2×D188C2×D411yescharacteristic
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×C4×D47C2411yescharacteristic
623C2×Dic94C2×D411yescharacteristic
624C2×Dic94C2411yescharacteristic
625SD16×C47—22no—
626SD16×C47—41no—
627D8×C47—41no—
628M16×C47—41no—
629C2×C8×C47—41no—
630C2×C8×C47C2411yescharacteristic
631C2×C8×C47C2411yescharacteristic
632C2×C8×C47C2411yescharacteristic
633C2×C8×C47C2411yescharacteristic
634C4⋊C4×C47—21no—
635C4⋊C4×C47—21no—
636C4⋊C4×C47—21no—
637C4⋊C4×C47—21no—
638C4⋊C4×C47—21no—
639C4⋊C4×C47C2×D411yescharacteristic
640C4⋊C4×C47C2411yescharacteristic
641C4⋊C4×C47C2411yescharacteristic
642C4⋊C4×C47C2411yescharacteristic
643C4⋊C4×C47C2411yescharacteristic
644C22⋊C4×C47—21no—
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×C47C2×D411yescharacteristic
652C22⋊C4×C47C2×D411yescharacteristic
653C42×C47—21no—
654C42×C47C2411yescharacteristic
655C22⋊Dic47—21no—
656C22⋊Dic47—21no—
657C22⋊Dic47—21no—
658C22⋊Dic47C2×D411yescharacteristic
659C22⋊Dic47C2×D411yescharacteristic
660#10625337—22no—
661#10625337—41no—
662#10625336—22no—
663#10625336—22no—
664#10625336—41no—
665#10625336—41no—
666#10625335—41no—
667#10625334—22no—
668#10625334—41no—
669#10625334—41no—
670#10625334—41no—
671#10625334—41no—
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—
692(C2×D47)⋊C4—21no—
693(C2×D47)⋊C4—21no—
694(C2×D47)⋊C4—21no—
695(C2×D47)⋊C4C2×D411yescharacteristic
696(C2×D47)⋊C4C2×D411yescharacteristic
697(C2×D47)⋊C4C2×D411yescharacteristic
698(C2×D47)⋊C4C2×D411yescharacteristic
699(C2×D47)⋊C4C2×D411yescharacteristic
700(C2×D47)⋊C4C2×D411yescharacteristic
701C4⋊Dic47—21no—
702C4⋊Dic47—21no—
703C4⋊Dic47—21no—
704C4⋊Dic47—21no—
705C4⋊Dic47C2×D411yescharacteristic
706C4⋊Dic47C2411yescharacteristic
707C4⋊Dic47C2411yescharacteristic
708Dic47⋊C4—21no—
709Dic47⋊C4—21no—
710Dic47⋊C4—21no—
711Dic47⋊C4—21no—
712Dic47⋊C4—21no—
713Dic47⋊C4C2×D411yescharacteristic
714Dic47⋊C4C2×D411yescharacteristic
715Dic47⋊C4C2×D411yescharacteristic
716Dic47⋊C4C2×D411yescharacteristic
717C4×Dic47—21no—
718C4×Dic47—21no—
719C4×Dic47—21no—
720C4×Dic47—21no—
721C4×Dic47C2411yescharacteristic
722C2×C47⋊C8—41no—
723C2×C47⋊C8—41no—
724C2×C47⋊C8C2411yescharacteristic
725C2×C47⋊C8C2411yescharacteristic
726C2×C47⋊C8C2411yescharacteristic
727C2×C47⋊C8C2411yescharacteristic
728D376—22no—
729D376—22no—
730D376—41no—
731D376—41no—
732D376—41no—
733D376—41no—
734#10625325—22no—
735#10625325—41no—
736#10625325—41no—
737#10625324—41no—
738C8×D47—41no—
739C8×D47—41no—
740C8×D47—41no—
741C23×C47—21no—
742C23×C47—21no—
743C23×C47C22×D411yescharacteristic
744C23×C47C22×D411yescharacteristic
745C22×D47—21no—
746C22×D47—22no—
747C22×D47—21no—
748C22×D47—21no—
749C22×D47—21no—
750C22×D47—21no—
751C22×D47—41no—
752C22×D47—41no—
753C22×D47—42no—
754C22×D47—42no—
755C22×D47—42no—
756C22×D47—42no—
757C22×D47—42no—
758C22×D47—42no—
759C22×D47—81no—
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×D47C22×D411yescharacteristic
772C22×D47C22×D411yescharacteristic
773C22×D47C22×D411yescharacteristic
774Q8×C47—21no—
775Q8×C47—21no—
776Q8×C47—21no—
777Q8×C47—42no—
778Q8×C47—81no—
779Q8×C47H(5,𝔽2)12yes—
780D4×C47—22no—
781D4×C47—21no—
782D4×C47—21no—
783D4×C47—21no—
784D4×C47—21no—
785D4×C47—42no—
786D4×C47—42no—
787D4×C47—42no—
788D4×C47—81no—
789C2×C4×C47—21no—
790C2×C4×C47—21no—
791C2×C4×C47—21no—
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—42no—
800C2×C4×C47—42no—
801C2×C4×C47—42no—
802C2×C4×C47—81no—
803C2×C4×C47—81no—
804C2×C4×C47C22×D411yescharacteristic
805C2×C4×C47C22×D411yescharacteristic
806C2×C4×C47C22×D411yescharacteristic
807C2×C4×C47C22×D411yescharacteristic
808C2×C4×C47C2511yescharacteristic
809C22⋊D47—22no—
810C22⋊D47—41no—
811C22⋊D47—41no—
812C22⋊D47—41no—
813C22⋊D47—42no—
814C22⋊D47—42no—
815C22⋊D47—42no—
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—
827C2×Dic47—21no—
828C2×Dic47—21no—
829C2×Dic47—21no—
830C2×Dic47—41no—
831C2×Dic47—81no—
832C2×Dic47C22×D411yescharacteristic
833C2×Dic47C22×D411yescharacteristic
834C2×Dic47C22×D411yescharacteristic
835C2×Dic47C22×D411yescharacteristic
836C2×Dic47C22×D411yescharacteristic
837D188—24no—
838D188—21no—
839D188—21no—
840D188—21no—
841D188—21no—
842D188—21no—
843D188—21no—
844D188—21no—
845D188—21no—
846D188—21no—
847D188—41no—
848D188—41no—
849D188—42no—
850D188—42no—
851D188—42no—
852D188—42no—
853D188—42no—
854D188—42no—
855D188—81no—
856D188—81no—
857D188—81no—
858D188—81no—
859D188—81no—
860D188—81no—
861D188—81no—
862D188—81no—
863D188—81no—
864D188—81no—
865D188H(5,𝔽2)12yes—
866C4×D47—24no—
867C4×D47—21no—
868C4×D47—21no—
869C4×D47—21no—
870C4×D47—21no—
871C4×D47—21no—
872C4×D47—21no—
873C4×D47—41no—
874C4×D47—41no—
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—
884C4×D47—81no—
885Dic94—21no—
886Dic94—21no—
887Dic94—41no—
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—41no—
903C22×C47—41no—
904C22×C47—41no—
905C22×C47—41no—
906C22×C47—41no—
907C22×C47—41no—
908C22×C47#57612yes—
909C22×C47C23×D411yescharacteristic
910C2×D47—21no—
911C2×D47—21no—
912C2×D47—21no—
913C2×D47—21no—
914C2×D47—22no—
915C2×D47—21no—
916C2×D47—21no—
917C2×D47—21no—
918C2×D47—21no—
919C2×D47—21no—
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—82no—
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—22no—
944C4×C47—21no—
945C4×C47—21no—
946C4×C47—41no—
947C4×C47—41no—
948C4×C47—41no—
949C4×C47—41no—
950C4×C47—41no—
951C4×C47C2×H(5,𝔽2)11yescharacteristic
952C4×C47C2×H(5,𝔽2)11yescharacteristic
953Dic47—21no—
954Dic47—21no—
955Dic47—21no—
956Dic47—21no—
957Dic47—21no—
958Dic47—41no—
959Dic47—41no—
960Dic47—41no—
961#3542—471no—
962#3488—471no—
963#3319—471no—
964#3310—471no—
965#3309—471no—
966#3308D4711yescharacteristic, complemented
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#2977—471no—
992C2×C47—22no—
993C2×C47—41no—
994C2×C47—81no—
995C2×C47—81no—
996C2×C47#348411yescharacteristic
997C2×C47C2×#57611yescharacteristic
998C2×C47#358411yescharacteristic
999D47—41no—
1000D47—41no—
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#548C2×D4711yescharacteristic, complemented
1028#547C2×D4711yescharacteristic, complemented
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—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#489C2×D4711yescharacteristic, complemented
1066#488—471no—
1067#486—471no—
1068#485—471no—
1069#484—471no—
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#480—471no—
1079#480C2×D4711yescharacteristic, complemented
1080#479—471no—
1081#478—471no—
1082#477C2×D4711yescharacteristic, complemented
1083#474—471no—
1084#469—471no—
1085#468—471no—
1086#468—471no—
1087#468C2×D4711yescharacteristic, complemented
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#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#463C2×D4711yescharacteristic, complemented
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#449C2×D4711yescharacteristic, complemented
1137#448C2×D4711yescharacteristic, complemented
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#440C2×D4711yescharacteristic, complemented
1152C4×Q16—471no—
1153C4×SD16—471no—
1154C4×D8—471no—
1155C4×D8—471no—
1156#435—471no—
1157#435—471no—
1158#435—471no—
1159#435C2×D4711yescharacteristic, complemented
1160C8×D4—471no—
1161C8×D4—471no—
1162C8×D4—471no—
1163C8×D4—471no—
1164#433—471no—
1165#433—471no—
1166#418—471no—
1167#417C2×D4711yescharacteristic, complemented
1168#416—471no—
1169#416—471no—
1170#416—471no—
1171C2×#103C2×D4711yescharacteristic, complemented
1172C2×#102—471no—
1173C2×#102—471no—
1174#408—471no—
1175#408—471no—
1176C2×C22⋊C8—471no—
1177C2×C22⋊C8—471no—
1178C47#6163911yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—1882no—
1180H(5,𝔽2)—1882no—
1181C2×#41—21no—
1182C2×#41—471no—
1183C2×#41—471no—
1184C2×#41—471no—
1185C2×#41—471no—
1186C2×#41—471no—
1187C2×#41—471no—
1188C2×#41—471no—
1189C2×#41—471no—
1190C2×#41—941no—
1191C2×#41—941no—
1192C2×#41—941no—
1193C2×#41—1882no—
1194C2×#41—1882no—
1195C2×#41C22×D4711yescharacteristic
1196C22×Q8C22×D4711yescharacteristic
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×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—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⋊Q8C22×D4711yescharacteristic
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—21no—
1268#124—471no—
1269#124—471no—
1270#124—941no—
1271#124—941no—
1272#124—941no—
1273#124—941no—
1274#124—941no—
1275#124C22×D4711yescharacteristic
1276#123—21no—
1277#123—21no—
1278#123—471no—
1279#123—471no—
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—471no—
1296C22⋊Q8—471no—
1297C22⋊Q8—471no—
1298C22⋊Q8—941no—
1299C22⋊Q8—941no—
1300C22⋊Q8—941no—
1301C22⋊Q8—941no—
1302C22⋊Q8C22×D4711yescharacteristic
1303#121—21no—
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#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×Q8C22×D4711yescharacteristic
1371C4×D4—21no—
1372C4×D4—471no—
1373C4×D4—471no—
1374C4×D4—471no—
1375C4×D4—471no—
1376C4×D4—471no—
1377C4×D4—471no—
1378C4×D4—471no—
1379C4×D4—941no—
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×D4C22×D4711yescharacteristic
1389C4×D4C22×D4711yescharacteristic
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#107—471no—
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⋊C8C22×D4711yescharacteristic
1418#103—471no—
1419#103—471no—
1420#103—471no—
1421#103—471no—
1422#103C22×D4711yescharacteristic
1423#103C22×D4711yescharacteristic
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⋊C8—471no—
1459C22⋊C8—471no—
1460C22⋊C8C22×D4711yescharacteristic
1461C22⋊C8C22×D4711yescharacteristic
1462#97—471no—
1463#97C22×D4711yescharacteristic
1464C4×C8—471no—
1465C4×C8—471no—
1466C24—471no—
1467C24—941no—
1468C24—941no—
1469C24—941no—
1470C24—941no—
1471C24—941no—
1472C24—941no—
1473#41—22no—
1474#41—41no—
1475#41—82no—
1476#41—942no—
1477#41—942no—
1478#41—942no—
1479#41—942no—
1480#41—942no—
1481#41—1881no—
1482#41—1881no—
1483#41—1881no—
1484#41—1881no—
1485#41—1884no—
1486#41—1881no—
1487#41—1881no—
1488#41—1881no—
1489#41—1881no—
1490#41—1881no—
1491#41—1881no—
1492#41—1881no—
1493#41—1884no—
1494#41—1884no—
1495C2×Q8—21no—
1496C2×Q8—21no—
1497C2×Q8—22no—
1498C2×Q8—41no—
1499C2×Q8—471no—
1500C2×Q8—471no—
1501C2×Q8C23×D4711yescharacteristic
1502C2×Q8C23×D4711yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—471no—
1508C2×D4—471no—
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—941no—
1537C2×D4—941no—
1538C2×D4—941no—
1539C2×D4—942no—
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—941no—
1551C2×D4—941no—
1552C2×D4—3762no—
1553C2×D4—3762no—
1554C2×D4—3762no—
1555C2×D4—3762no—
1556C2×D4—3762no—
1557C2×D4—1881no—
1558C2×D4—1881no—
1559C2×D4—1881no—
1560C2×D4—1881no—
1561C2×D4—1884no—
1562C2×D4—1884no—
1563C2×D4—1881no—
1564C2×D4—1881no—
1565C2×D4—1881no—
1566C2×D4—1881no—
1567C2×D4—1881no—
1568C2×D4—1884no—
1569C2×D4—1884no—
1570C2×D4D4×D4711yescharacteristic
1571C2×D4C23×D4711yescharacteristic
1572C2×D4C23×D4711yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—21no—
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—471no—
1579C22×C4—471no—
1580C22×C4—471no—
1581C22×C4—471no—
1582C22×C4—471no—
1583C22×C4—471no—
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—941no—
1596C22×C4—1881no—
1597C22×C4—1881no—
1598C22×C4—1884no—
1599C22×C4C23×D4711yescharacteristic
1600C22×C4C23×D4711yescharacteristic
1601Q16—942no—
1602Q16—1881no—
1603SD16—22no—
1604SD16—41no—
1605SD16—942no—
1606SD16—942no—
1607SD16—942no—
1608SD16—1881no—
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—471no—
1647C4⋊C4—471no—
1648C4⋊C4—471no—
1649C4⋊C4—471no—
1650C4⋊C4—471no—
1651C4⋊C4—471no—
1652C4⋊C4—471no—
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⋊C4—941no—
1662C4⋊C4D4×D4711yescharacteristic
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—471no—
1675C22⋊C4—471no—
1676C22⋊C4—471no—
1677C22⋊C4—471no—
1678C22⋊C4—471no—
1679C22⋊C4—471no—
1680C22⋊C4—471no—
1681C22⋊C4—471no—
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⋊C4—941no—
1701C22⋊C4—941no—
1702C22⋊C4—941no—
1703C22⋊C4—941no—
1704C22⋊C4—941no—
1705C22⋊C4—941no—
1706C22⋊C4—941no—
1707C22⋊C4—941no—
1708C22⋊C4D4×D4711yescharacteristic
1709C22⋊C4D4×D4711yescharacteristic
1710C42—21no—
1711C42—471no—
1712C42—941no—
1713C42—941no—
1714C42—941no—
1715C42—941no—
1716C42C23×D4711yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—471no—
1720C23—471no—
1721C23—471no—
1722C23—942no—
1723C23—941no—
1724C23—941no—
1725C23—941no—
1726C23—941no—
1727C23—941no—
1728C23—3761no—
1729C23—3761no—
1730C23—3761no—
1731C23—3761no—
1732C23—3761no—
1733C23—3761no—
1734C23—3761no—
1735C23—3761no—
1736C23—3761no—
1737C23—3761no—
1738C23—3761no—
1739C23—3761no—
1740C23—1881no—
1741C23—1881no—
1742C23—1882no—
1743C23—1882no—
1744C23—1882no—
1745C23—1882no—
1746C23—1882no—
1747C23—1882no—
1748C23C2×D4×D4711yescharacteristic
1749C23C2×D4×D4711yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—42no—
1754Q8—81no—
1755Q8—941no—
1756Q8—941no—
1757Q8—1881no—
1758Q8#1309407012yes—
1759D4—22no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—42no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—472no—
1769D4—944no—
1770D4—942no—
1771D4—941no—
1772D4—941no—
1773D4—941no—
1774D4—941no—
1775D4—941no—
1776D4—941no—
1777D4—941no—
1778D4—941no—
1779D4—941no—
1780D4—3761no—
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—1881no—
1802D4—1881no—
1803D4—1882no—
1804D4—1882no—
1805D4—1882no—
1806D4—1882no—
1807D4—1882no—
1808D4—1882no—
1809D4—1881no—
1810D4—1881no—
1811D4—1881no—
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—42no—
1826C2×C4—42no—
1827C2×C4—42no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—471no—
1831C2×C4—471no—
1832C2×C4—471no—
1833C2×C4—471no—
1834C2×C4—471no—
1835C2×C4—944no—
1836C2×C4—941no—
1837C2×C4—941no—
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—3761no—
1852C2×C4—1881no—
1853C2×C4—1881no—
1854C2×C4—1882no—
1855C2×C4—1882no—
1856C2×C4—1882no—
1857C2×C4—1882no—
1858C2×C4—1881no—
1859C2×C4C2×D4×D4711yescharacteristic
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—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—941no—
1884C22—941no—
1885C22—941no—
1886C22—941no—
1887C22—941no—
1888C22—941no—
1889C22—942no—
1890C22—941no—
1891C22—941no—
1892C22—941no—
1893C22—3764no—
1894C22—3762no—
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#1568992712yes—
1915C22C22×D4×D4711yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—22no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—941no—
1927C4—941no—
1928C4—941no—
1929C4—941no—
1930C4—941no—
1931C4—1881no—
1932C4—1881no—
1933C4—1881no—
1934C4H(5,𝔽2)×D4711yescharacteristic
1935C4C2×#1309407011yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—81no—
1939C2—81no—
1940C2—3761no—
1941C2—3761no—
1942C2—3761no—
1943C2—3761no—
1944C2—1881no—
1945C2—1881no—
1946C2—1881no—
1947C2—1882no—
1948C2#2025701811yescharacteristic
1949C2C2×#1568992711yescharacteristic
1950C2#2025815811yescharacteristic
subgroupG/H
centerC22C22×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC47×#3308C2
socleC22×C47C23×D4
hypercenter#3308D47
hypocenterC47#61639
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3308

Complements

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

NH ≅ G/Ntype
1. #20257705C2semidirect
2. #20257054C2semidirect
3. #20255543C2semidirect
4. #20255407C2semidirect
5. #20255395C2semidirect
6. #20255335C2semidirect
7. #20255271C2semidirect
8. #20255236C2semidirect
9. #20255195C2semidirect
10. #20255141C2semidirect
11. #20255096C2semidirect
12. #20255068C2semidirect
13. #20255062C2semidirect
14. #20254935C2semidirect
15. #20254930C2semidirect
16. #20254876C2semidirect
17. #20254873C2semidirect
18. #20254483C2semidirect
19. #20254435C2semidirect
20. #20254292C2semidirect
21. #20254241C2semidirect
22. #20254148C2semidirect
23. #20254138C2semidirect
24. #20253657C2semidirect
25. #20253585C2semidirect
26. #20252694C2semidirect
27. #20252653C2semidirect
28. #20252605C2semidirect
29. C2×#15689271C2semidirect
30. #20252439C2semidirect
31. C47×#3308C2semidirect
32. C2×#13094070C22semidirect
33. C22×#10625354C22semidirect
34. C2×#13094052C22semidirect
35. C2×#13094051C22semidirect
36. C2×#13094045C22semidirect
37. C2×#13094045C22semidirect
38. C2×#13094044C22semidirect
39. C22×#10625336C22semidirect
40. C22×D376C22semidirect
41. C2×D8×D47C22semidirect
44. #15689839C22semidirect
45. #15689821C22semidirect
46. #15689808C22semidirect
48. #15689795C22semidirect
49. #15689792C22semidirect
50. #15689791C22semidirect
52. #15689769C22semidirect
53. #15689768C22semidirect
55. #15689766C22semidirect
57. #15689764C22semidirect
60. D4×D188C22semidirect
63. #15689757C22semidirect
64. #15689747C22semidirect
66. #15689724C22semidirect
68. #15689704C22semidirect
70. #15689703C22semidirect
72. #15689691C22semidirect
73. #15689689C22semidirect
76. #15689633C22semidirect
79. C2×#13093999C22semidirect
81. #121×D47C22semidirect
82. #15689605C22semidirect
83. #15689512C22semidirect
84. #15689509C22semidirect
85. #15689505C22semidirect
86. #15689498C22semidirect
87. #15689486C22semidirect
88. #15689479C22semidirect
89. #15689471C22semidirect
90. #15689462C22semidirect
91. #15689460C22semidirect
92. #15689450C22semidirect
93. #15689450C22semidirect
94. #15689446C22semidirect
95. #15689440C22semidirect
96. #15689438C22semidirect
97. #15689438C22semidirect
98. #15689436C22semidirect
99. #15689436C22semidirect
100. #15689428C22semidirect
101. #15689426C22semidirect
102. #15689400C22semidirect
103. #15689376C22semidirect
104. #15689372C22semidirect
105. #15689370C22semidirect
106. #15689363C22semidirect
107. #15689360C22semidirect
108. #15689360C22semidirect
109. #15689360C22semidirect
110. #15689358C22semidirect
111. #15689358C22semidirect
112. #15689357C22semidirect
113. #15689357C22semidirect
114. #15689354C22semidirect
115. #15689352C22semidirect
116. #15689350C22semidirect
117. #15689348C22semidirect
118. #15689345C22semidirect
119. #15689341C22semidirect
120. #15689339C22semidirect
121. #15689335C22semidirect
122. #15689322C22semidirect
123. #15689321C22semidirect
124. #15689319C22semidirect
125. #15689318C22semidirect
126. #15689317C22semidirect
127. #15689317C22semidirect
128. #15689288C22semidirect
129. #15689288C22semidirect
130. #15689288C22semidirect
131. #15689283C22semidirect
132. #15689279C22semidirect
133. #15689276C22semidirect
134. #15689275C22semidirect
135. #15689275C22semidirect
136. #15689272C22semidirect
138. #15689271C22semidirect
139. #15689271C22semidirect
140. #15689271C22semidirect
141. #15689271C22semidirect
142. #15689271C22semidirect
143. #15689271C22semidirect
144. #15689271C22semidirect
145. #15689271C22semidirect
146. #15689270C22semidirect
147. #15689269C22semidirect
148. #15689268C22semidirect
149. #15689267C22semidirect
150. #15689267C22semidirect
151. #15689265C22semidirect
152. #15689259C22semidirect
153. #15689259C22semidirect
154. #15689258C22semidirect
155. #15689258C22semidirect
156. #15689258C22semidirect
157. #15689258C22semidirect
158. #15689256C22semidirect
159. #15689256C22semidirect
160. #15689256C22semidirect
161. #15689255C22semidirect
162. #15689236C22semidirect
163. #15689226C22semidirect
164. #15689222C22semidirect
165. #15689215C22semidirect
166. C4×#10625336C22semidirect
167. #15689205C22semidirect
168. C4×#10625334C22semidirect
169. #15689196C22semidirect
170. #15689192C22semidirect
171. #15689191C22semidirect
172. D4×C47⋊C8C22semidirect
173. #15689188C22semidirect
174. C8×C22⋊D47C22semidirect
175. (C22⋊D47)⋊C8C22semidirect
176. #15689185C22semidirect
177. #15689183C22semidirect
178. #15689126C22semidirect
179. #15689118C22semidirect
180. #15689118C22semidirect
181. #15689118C22semidirect
182. C2×#13093944C22semidirect
183. C2×#13093944C22semidirect
184. #15689091C22semidirect
185. #15689088C22semidirect
186. C2×(C2×D47)⋊C8C22semidirect
187. C22⋊C8×D47C22semidirect
188. C47×#548C22semidirect
189. C47×#547C22semidirect
190. C47×#489C22semidirect
191. C47×#484C22semidirect
192. C47×#480C22semidirect
193. C47×#477C22semidirect
194. C47×#468C22semidirect
195. C47×#466C22semidirect
196. C47×#463C22semidirect
197. C47×#449C22semidirect
198. C47×#448C22semidirect
199. C47×#440C22semidirect
200. C47×#435C22semidirect
201. C47×#417C22semidirect
202. C2×#103×C47C22semidirect
966. #3308D47semidirect
1027. #548C2×D47semidirect
1028. #547C2×D47semidirect
1065. #489C2×D47semidirect
1070. #484C2×D47semidirect
1079. #480C2×D47semidirect
1082. #477C2×D47semidirect
1087. #468C2×D47semidirect
1096. #466C2×D47semidirect
1105. #463C2×D47semidirect
1136. #449C2×D47semidirect
1137. #448C2×D47semidirect
1151. #440C2×D47semidirect
1159. #435C2×D47semidirect
1167. #417C2×D47semidirect
1171. C2×#103C2×D47semidirect
1178. C47#61639semidirect

Maximal subgroups

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

subgroupindex
#202577052
#202570542
#202555432
#202554072
#202553952
#202553352
#202552712
#202552362
#202551952
#202551412
#202550962
#202550682
#202550622
#202549352
#202549302
#202548762
#202548732
#202544832
#202544352
#202542922
#202542412
#202541482
#202541382
#202536572
#202535852
#202526942
#202526532
#202526052
C2×#156892712
#202524392
C47×#33082
#6163947