Finite Group Databasebeta

← #29459801

Subgroups — #29459801

Order 15104.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1954 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437772C211yesmaximal, characteristic, complemented
2#21437761C211yesmaximal, characteristic, complemented
3#21435000C211yesmaximal, characteristic, complemented
4#21434996C211yesmaximal, characteristic, complemented
5#21434983C211yesmaximal, characteristic, complemented
6#21434974C211yesmaximal, characteristic, complemented
7#21434966C211yesmaximal, characteristic, complemented
8#21434965C211yesmaximal, characteristic, complemented
9#21434955C211yesmaximal, characteristic, complemented
10#21434952C211yesmaximal, characteristic, complemented
11#21434938C211yesmaximal, characteristic, complemented
12#21434934C211yesmaximal, characteristic, complemented
13#21434926C211yesmaximal, characteristic, complemented
14#21434921C211yesmaximal, characteristic, complemented
15#21434911C211yesmaximal, characteristic, complemented
16#21434910C211yesmaximal, characteristic, complemented
17#21434897C211yesmaximal, characteristic, complemented
18#21434075C211yesmaximal, characteristic, complemented
19#21434069C211yesmaximal, characteristic, complemented
20#21434064C211yesmaximal, characteristic, complemented
21#21434047C211yesmaximal, characteristic, complemented
22#21433721C211yesmaximal, characteristic, complemented
23#21433710C211yesmaximal, characteristic, complemented
24#21433700C211yesmaximal, characteristic, complemented
25#468×D59C211yesmaximal, characteristic, complemented
26#21433406C211yesmaximal, characteristic, complemented
27#21433401C211yesmaximal, characteristic, complemented
28#21433377C211yesmaximal, characteristic, complemented
29#21433368C211yesmaximal, characteristic, complemented
30#21432539C211yesmaximal, characteristic, complemented
31C59×#3193C211yesmaximal, characteristic, complemented
32C2×#14273775C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic
34C22×#11745685C2211yescharacteristic
35C2×#14273756C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273748C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39C2×M16×D59C2211yescharacteristic, complemented
40C2×M16×D59C2211yescharacteristic, complemented
41#16838070—21no—
42#16838065—21no—
43#16838062—21no—
44#16838058—21no—
45#16838054—21no—
46#16838053—21no—
47#16838053—21no—
48#16838049—21no—
49#16838043—21no—
50#16838042—21no—
51#16838042—21no—
52#16838042—21no—
53#16838042—21no—
54#16838036—21no—
55D4×C22⋊D59—21no—
56D4×C22⋊D59—21no—
57#16837983C2211yescharacteristic
58#16837983C2211yescharacteristic, complemented
59#16837982C2211yescharacteristic
60#16837982C2211yescharacteristic, complemented
61#16837981C2211yescharacteristic
62#16837981C2211yescharacteristic
63#16837976C2211yescharacteristic, complemented
64#16837975C2211yescharacteristic
65#16837975C2211yescharacteristic, complemented
66#16837969C2211yescharacteristic
67#16837968C2211yescharacteristic
68#16837968C2211yescharacteristic
69#16837915C2211yescharacteristic, complemented
70#16837915C2211yescharacteristic, complemented
71#16837913C2211yescharacteristic
72#16837913C2211yescharacteristic, complemented
73#16837912C2211yescharacteristic
74#16837912C2211yescharacteristic
75C22⋊Q8×D59C2211yescharacteristic, complemented
76C22⋊Q8×D59C2211yescharacteristic, complemented
77#121×D59C2211yescharacteristic
78#121×D59C2211yescharacteristic
79#16837883C2211yescharacteristic
80#16837883C2211yescharacteristic, complemented
81#16837745C2211yescharacteristic, complemented
82#16837745C2211yescharacteristic, complemented
83#16837744C2211yescharacteristic, complemented
84#16837744C2211yescharacteristic, complemented
85#16837742C2211yescharacteristic, complemented
86#16837741C2211yescharacteristic, complemented
87#16837740C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837739C2211yescharacteristic, complemented
91#16837737C2211yescharacteristic, complemented
92#16837736C2211yescharacteristic, complemented
93#16837732C2211yescharacteristic, complemented
94#16837731C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837727C2211yescharacteristic, complemented
98#16837727C2211yescharacteristic, complemented
99#16837725C2211yescharacteristic, complemented
100#16837724C2211yescharacteristic, complemented
101#16837723C2211yescharacteristic, complemented
102#16837723C2211yescharacteristic, complemented
103#16837720C2211yescharacteristic, complemented
104#16837719C2211yescharacteristic, complemented
105#16837717C2211yescharacteristic, complemented
106#16837717C2211yescharacteristic, complemented
107#16837715C2211yescharacteristic, complemented
108#16837714C2211yescharacteristic, complemented
109#16837660C2211yescharacteristic, complemented
110#16837659C2211yescharacteristic, complemented
111#16837658C2211yescharacteristic, complemented
112#16837658C2211yescharacteristic, complemented
113#16837655C2211yescharacteristic, complemented
114#16837654C2211yescharacteristic, complemented
115#16837653C2211yescharacteristic, complemented
116#16837653C2211yescharacteristic, complemented
117#16837651C2211yescharacteristic, complemented
118#16837650C2211yescharacteristic, complemented
119#16837650C2211yescharacteristic, complemented
120#16837649C2211yescharacteristic, complemented
121#16837649C2211yescharacteristic, complemented
122#16837648C2211yescharacteristic, complemented
123#16837648C2211yescharacteristic, complemented
124#16837647C2211yescharacteristic, complemented
125#16837646C2211yescharacteristic, complemented
126#16837646C2211yescharacteristic, complemented
127#16837645C2211yescharacteristic, complemented
128#16837645C2211yescharacteristic, complemented
129#16837644C2211yescharacteristic, complemented
130#16837642C2211yescharacteristic, complemented
131#16837639C2211yescharacteristic, complemented
132#16837637C2211yescharacteristic, complemented
133#16837634C2211yescharacteristic, complemented
134#16837630C2211yescharacteristic, complemented
135#16837628C2211yescharacteristic, complemented
136#16837628C2211yescharacteristic, complemented
137#16837567C2211yescharacteristic, complemented
138#16837566C2211yescharacteristic, complemented
139#16837566C2211yescharacteristic, complemented
140#16837565C2211yescharacteristic, complemented
141#16837562C2211yescharacteristic, complemented
142#16837562C2211yescharacteristic, complemented
143#16837561C2211yescharacteristic, complemented
144#16837561C2211yescharacteristic, complemented
145#16837559C2211yescharacteristic, complemented
146#16837558C2211yescharacteristic, complemented
147#16837554C2211yescharacteristic, complemented
148#16837553C2211yescharacteristic, complemented
149#16837551C2211yescharacteristic, complemented
150#16837551C2211yescharacteristic, complemented
151#16837550C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic, complemented
153#16837549C2211yescharacteristic, complemented
154#16837548C2211yescharacteristic, complemented
155#16837546C2211yescharacteristic, complemented
156#16837546C2211yescharacteristic, complemented
157#16837545C2211yescharacteristic, complemented
158#16837545C2211yescharacteristic, complemented
159#16837542C2211yescharacteristic, complemented
160#16837541C2211yescharacteristic, complemented
161#16837539C2211yescharacteristic, complemented
162#16837539C2211yescharacteristic, complemented
163#16837537C2211yescharacteristic, complemented
164#16837536C2211yescharacteristic, complemented
165#16837443C2211yescharacteristic, complemented
166#16837443C2211yescharacteristic, complemented
167#16837439C2211yescharacteristic, complemented
168#107×D59C2211yescharacteristic, complemented
169#16837409C2211yescharacteristic, complemented
170#16837405C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837400C2211yescharacteristic, complemented
173#16837397C2211yescharacteristic, complemented
174#16837395C2211yescharacteristic, complemented
175#103×D59C2211yescharacteristic, complemented
176#102×D59C2211yescharacteristic, complemented
177#16837367C2211yescharacteristic
178#16837367C2211yescharacteristic
179#16837367C2211yescharacteristic, complemented
180#16837367C2211yescharacteristic, complemented
181#16837367C2211yescharacteristic, complemented
182#16837367C2211yescharacteristic, complemented
183#16837367C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837366C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187#16837365C2211yescharacteristic, complemented
188C2×C22⋊Q8×C59C2211yescharacteristic, complemented
189C2×#121×C59C2211yescharacteristic
190C59×#484C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#480C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#468C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C59×#407C2211yescharacteristic, complemented
203#14273775—42no—
204#14273775—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689—21no—
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685—21no—
212C2×#11745685—42no—
213C2×#11745685—42no—
214C2×#11745685D411yescharacteristic
215C2×#11745685D411yescharacteristic
216C2×#11745685D411yescharacteristic
217C2×#11745685D411yescharacteristic
218C2×#11745685C2311yescharacteristic
219C2×#11745685C2311yescharacteristic
220C2×#11745685C2311yescharacteristic
221C2×#11745685C2311yescharacteristic
222C2×#11745685C2311yescharacteristic
223C2×#11745685C2311yescharacteristic
224C2×#11745687—21no—
225C2×#11745687C2311yescharacteristic
226C2×#11745687C2311yescharacteristic
227C22×Dic118D411yescharacteristic
228C2×Q8×D59—21no—
229C2×Q8×D59C2311yescharacteristic
230C2×Q8×D59C2311yescharacteristic
231C22×D236D411yescharacteristic
232C22×C22⋊D59—21no—
233C22×C22⋊D59—21no—
234C22×C22⋊D59D411yescharacteristic
235C22×C22⋊D59D411yescharacteristic
236C2×D4×D59—21no—
237C2×D4×D59—21no—
238C2×D4×D59—21no—
239C2×D4×D59C2311yescharacteristic
240C2×D4×D59C2311yescharacteristic
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243#14273756—42no—
244#14273754—42no—
245#14273748—42no—
246C2×Dic236C2311yescharacteristic
247C2×#11745672C2311yescharacteristic
248C2×#11745672C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745660C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255SD16×D59—42no—
256C2×D472C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745664C2311yescharacteristic
260C2×#11745664C2311yescharacteristic
261C2×#11745659C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265M16×D59—42no—
266M16×D59—42no—
267C2×C8×D59C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273726—21no—
272#14273726—21no—
273#14273725—21no—
274#14273723—21no—
275#14273723—21no—
276#14273723—21no—
277#14273716—21no—
278#14273714—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273710—21no—
288#14273710—21no—
289#14273710—21no—
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273707—21no—
296#14273707—21no—
297#14273707C2311yescharacteristic
298#14273707C2311yescharacteristic
299#14273707C2311yescharacteristic
300#14273707C2311yescharacteristic
301#14273706C2311yescharacteristic
302#14273706C2311yescharacteristic
303#14273706C2311yescharacteristic
304#14273706C2311yescharacteristic
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273704—21no—
310#14273704—21no—
311#14273704—21no—
312#14273704—21no—
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273703C2311yescharacteristic
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701—21no—
327#14273701—21no—
328#14273701—21no—
329#14273701C2311yescharacteristic
330#14273701C2311yescharacteristic
331#14273701C2311yescharacteristic
332#14273701C2311yescharacteristic
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273700—21no—
338#14273700—21no—
339#14273700—21no—
340#14273700—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273698—21no—
346#14273698—21no—
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273698C2311yescharacteristic
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273696—21no—
356#14273696—21no—
357#14273696—21no—
358#14273696—21no—
359#14273695—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273692—21no—
364#14273692—21no—
365D4×Dic59—21no—
366D4×Dic59—21no—
367#14273689—21no—
368#14273689—21no—
369#14273689—21no—
370#14273689—21no—
371C4×C22⋊D59—21no—
372C4×C22⋊D59—21no—
373C4×C22⋊D59—21no—
374C4×C22⋊D59—21no—
375C4×C22⋊D59—21no—
376C4×C22⋊D59—21no—
377C4×C22⋊D59—21no—
378C4×C22⋊D59—21no—
379(C22⋊D59)⋊C4—21no—
380(C22⋊D59)⋊C4—21no—
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4—21no—
383#14273686C2311yescharacteristic
384#14273686C2311yescharacteristic
385#14273685C2311yescharacteristic
386#14273685C2311yescharacteristic
387#14273685C2311yescharacteristic
388#14273685C2311yescharacteristic
389C4⋊C4×D59—21no—
390C4⋊C4×D59—21no—
391C4⋊C4×D59C2311yescharacteristic
392C4⋊C4×D59C2311yescharacteristic
393C4⋊C4×D59C2311yescharacteristic
394C4⋊C4×D59C2311yescharacteristic
395C22⋊C4×D59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399#14273661C2311yescharacteristic
400#14273661C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273660C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409#14273658C2311yescharacteristic
410#14273658C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445(C2×D59)⋊C8C2311yescharacteristic
446(C2×D59)⋊C8C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×D4×C59—21no—
449C22×D4×C59C2311yescharacteristic
450C23×C4×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×M16×C59C2311yescharacteristic
456C2×M16×C59C2311yescharacteristic
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59—21no—
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#121×C59C2311yescharacteristic
468#121×C59C2311yescharacteristic
469C2×C4⋊C4×C59—21no—
470C2×C4⋊C4×C59C2311yescharacteristic
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473C2×C22⋊C4×C59—21no—
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#107×C59C2311yescharacteristic
477#107×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59C2×D411yescharacteristic
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495C23×D59C2×D411yescharacteristic
496C2×Q8×C59—21no—
497C2×Q8×C59—41no—
498C2×Q8×C59—41no—
499C2×Q8×C59C2411yescharacteristic
500C2×Q8×C59C2411yescharacteristic
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—41no—
507C2×D4×C59—41no—
508C2×D4×C59—82no—
509C2×D4×C59C2411yescharacteristic
510C2×D4×C59C2411yescharacteristic
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—41no—
515C22×C4×C59—41no—
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2×D411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—42no—
537C2×C22⋊D59—42no—
538C2×C22⋊D59—44no—
539C2×C22⋊D59—44no—
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C2×C22⋊D59C2×D411yescharacteristic
543C2×C22⋊D59C2×D411yescharacteristic
544C2×C22⋊D59C2×D411yescharacteristic
545C2×C22⋊D59C2×D411yescharacteristic
546C2×C22⋊D59C2×D411yescharacteristic
547C2×C22⋊D59C2×D411yescharacteristic
548C22×Dic59—21no—
549C22×Dic59—21no—
550C22×Dic59C2×D411yescharacteristic
551C22×Dic59C2×D411yescharacteristic
552#11745689—22no—
553#11745689—22no—
554#11745689—41no—
555#11745689—41no—
556#11745689—44no—
557Q8×D59—22no—
558Q8×D59—22no—
559Q8×D59—41no—
560Q8×D59—41no—
561Q8×D59—44no—
562#11745687—22no—
563#11745687—22no—
564#11745687—41no—
565#11745687—41no—
566#11745687—44no—
567D4×D59—22no—
568D4×D59—22no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—44no—
572D4×D59—82no—
573D4×D59—82no—
574#11745685—22no—
575#11745685—22no—
576#11745685—22no—
577#11745685—22no—
578#11745685—42no—
579#11745685—42no—
580#11745685—41no—
581#11745685—41no—
582#11745685—41no—
583#11745685—41no—
584#11745685—41no—
585#11745685—41no—
586#11745685—41no—
587#11745685—41no—
588#11745685—42no—
589#11745685—42no—
590#11745685—44no—
591#11745685—44no—
592C2×D236—21no—
593C2×D236—21no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—21no—
598C2×D236—42no—
599C2×D236C2×D411yescharacteristic
600C2×D236C2×D411yescharacteristic
601C2×D236C2×D411yescharacteristic
602C2×D236C2×D411yescharacteristic
603C2×D236C2411yescharacteristic
604C2×D236C2411yescharacteristic
605C2×C4×D59—22no—
606C2×C4×D59—22no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—41no—
618C2×C4×D59—41no—
619C2×C4×D59C2×D411yescharacteristic
620C2×C4×D59C2×D411yescharacteristic
621C2×C4×D59C2×D411yescharacteristic
622C2×C4×D59C2×D411yescharacteristic
623C2×C4×D59C2411yescharacteristic
624C2×C4×D59C2411yescharacteristic
625C2×C4×D59C2411yescharacteristic
626C2×C4×D59C2411yescharacteristic
627C2×Dic118—21no—
628C2×Dic118—21no—
629C2×Dic118—42no—
630C2×Dic118C2×D411yescharacteristic
631C2×Dic118C2×D411yescharacteristic
632C2×Dic118C2×D411yescharacteristic
633C2×Dic118C2×D411yescharacteristic
634C2×Dic118C2411yescharacteristic
635C2×Dic118C2411yescharacteristic
636SD16×C59—41no—
637SD16×C59—41no—
638SD16×C59—41no—
639SD16×C59—41no—
640M16×C59—41no—
641M16×C59—41no—
642C2×C8×C59C2411yescharacteristic
643C2×C8×C59C2411yescharacteristic
644C2×C8×C59C2411yescharacteristic
645C2×C8×C59C2411yescharacteristic
646C4⋊C4×C59—21no—
647C4⋊C4×C59—21no—
648C4⋊C4×C59—21no—
649C4⋊C4×C59—21no—
650C4⋊C4×C59—21no—
651C4⋊C4×C59—21no—
652C4⋊C4×C59C2411yescharacteristic
653C4⋊C4×C59C2411yescharacteristic
654C4⋊C4×C59C2411yescharacteristic
655C4⋊C4×C59C2411yescharacteristic
656C22⋊C4×C59—21no—
657C22⋊C4×C59—21no—
658C22⋊C4×C59—21no—
659C22⋊C4×C59—21no—
660C22⋊C4×C59—21no—
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊C4×C59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666C22⋊Dic59—21no—
667C22⋊Dic59—21no—
668C22⋊Dic59—21no—
669C22⋊Dic59—21no—
670C22⋊Dic59—21no—
671C22⋊Dic59—21no—
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674#11745672—41no—
675#11745672—41no—
676#11745671—41no—
677#11745671—41no—
678#11745670—41no—
679#11745670—41no—
680#11745669—41no—
681#11745669—41no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4—21no—
695(C2×D59)⋊C4—21no—
696(C2×D59)⋊C4—21no—
697(C2×D59)⋊C4—21no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702C4⋊Dic59—21no—
703C4⋊Dic59—21no—
704C4⋊Dic59—21no—
705C4⋊Dic59—21no—
706C4⋊Dic59C2411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721Dic59⋊C4—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59—21no—
726C4×Dic59—21no—
727C4×Dic59—21no—
728#11745664—41no—
729#11745664—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734Dic236—41no—
735D472—41no—
736#11745660—41no—
737#11745660—41no—
738#11745659—22no—
739#11745659—22no—
740#11745659—41no—
741#11745659—41no—
742C8×D59—22no—
743C8×D59—22no—
744C8×D59—41no—
745C8×D59—41no—
746C23×C59—21no—
747C23×C59—21no—
748C23×C59—41no—
749C23×C59—41no—
750C23×C59—41no—
751C23×C59—42no—
752C23×C59—81no—
753C23×C59—81no—
754C23×C59C22×D411yescharacteristic
755C23×C59C22×D411yescharacteristic
756C23×C59C22×D411yescharacteristic
757C22×D59—22no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—41no—
761C22×D59—41no—
762C22×D59—41no—
763C22×D59—41no—
764C22×D59—41no—
765C22×D59—42no—
766C22×D59—42no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774C22×D59C22×D411yescharacteristic
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59—21no—
778Q8×C59—21no—
779Q8×C59—42no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—42no—
787D4×C59—81no—
788D4×C59—81no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—41no—
802C2×C4×C59—41no—
803C2×C4×C59—41no—
804C2×C4×C59—42no—
805C2×C4×C59—81no—
806C2×C4×C59—81no—
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C2511yescharacteristic
811C22⋊D59—22no—
812C22⋊D59—22no—
813C22⋊D59—22no—
814C22⋊D59—22no—
815C22⋊D59—41no—
816C22⋊D59—41no—
817C22⋊D59—41no—
818C22⋊D59—41no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C2×Dic59—22no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—21no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—41no—
841C2×Dic59—42no—
842C2×Dic59—42no—
843C2×Dic59C22×D411yescharacteristic
844C2×Dic59C22×D411yescharacteristic
845C2×Dic59C22×D411yescharacteristic
846C2×Dic59C22×D411yescharacteristic
847D236—22no—
848D236—22no—
849D236—21no—
850D236—21no—
851D236—21no—
852D236—21no—
853D236—41no—
854D236—41no—
855D236—42no—
856D236—42no—
857D236—81no—
858D236—81no—
859D236—81no—
860D236—81no—
861C4×D59—22no—
862C4×D59—21no—
863C4×D59—21no—
864C4×D59—21no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—22no—
869C4×D59—41no—
870C4×D59—41no—
871C4×D59—42no—
872C4×D59—42no—
873C4×D59—42no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—81no—
878C4×D59—81no—
879C4×D59—81no—
880C4×D59—81no—
881C4×D59H(5,𝔽2)12yes—
882C4×D59H(5,𝔽2)12yes—
883Dic118—22no—
884Dic118—22no—
885Dic118—21no—
886Dic118—21no—
887Dic118—21no—
888Dic118—21no—
889Dic118—41no—
890Dic118—41no—
891Dic118—42no—
892Dic118—42no—
893C8×C59—21no—
894C8×C59—21no—
895C8×C59—21no—
896C8×C59—21no—
897C59⋊C8—21no—
898C59⋊C8—21no—
899C59⋊C8—21no—
900C59⋊C8—21no—
901#60772—591nomaximal, Sylow
902C22×C59—21no—
903C22×C59—21no—
904C22×C59—21no—
905C22×C59—21no—
906C22×C59—21no—
907C22×C59—21no—
908C22×C59—21no—
909C22×C59—21no—
910C22×C59—21no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—82no—
918C22×C59—162no—
919C22×C59C23×D411yescharacteristic
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—21no—
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—21no—
928C2×D59—21no—
929C2×D59—21no—
930C2×D59—21no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—41no—
936C2×D59—41no—
937C2×D59—82no—
938C2×D59—82no—
939C2×D59—162no—
940C2×D59—162no—
941C2×D59#53412yes—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—21no—
945C4×C59—41no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59C2×H(5,𝔽2)11yescharacteristic
952C4×C59C2×H(5,𝔽2)11yescharacteristic
953Dic59—21no—
954Dic59—21no—
955Dic59—21no—
956Dic59—41no—
957Dic59—41no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961Dic59—41no—
962Dic59#53412yes—
963#3489—591no—
964#3488—591no—
965#3203—591no—
966#3203—591no—
967#3201—591no—
968#3201—591no—
969#3200—591no—
970#3200—591no—
971#3198—591no—
972#3198—591no—
973#3197—591no—
974#3197—591no—
975#3196—591no—
976#3196—591no—
977#3194—591no—
978#3194—591no—
979#3193—591no—
980#3193D5911yescharacteristic, complemented
981#3098—591no—
982#3098—591no—
983#3097—591no—
984#3096—591no—
985#3056—591no—
986#3055—591no—
987#3054—591no—
988C2×#468—591no—
989#3013—591no—
990#3012—591no—
991#3010—591no—
992#3009—591no—
993#2879—591no—
994C2×C59—41no—
995C2×C59—41no—
996C2×C59—41no—
997C2×C59—81no—
998C2×C59—81no—
999C2×C59C2×#53411yescharacteristic
1000C2×C59#358511yescharacteristic
1001C2×C59#358611yescharacteristic
1002D59—22no—
1003D59—41no—
1004D59—41no—
1005D59—41no—
1006D59—81no—
1007D59—81no—
1008C2×2−1+4—591no—
1009C2×H(5,𝔽2)—591no—
1010C22×#41—591no—
1011C2×#137—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×#135—591no—
1014C22×SD16—591no—
1015C22×M16—591no—
1016C22×M16—591no—
1017#550—1181no—
1018D4×Q8—1181no—
1019#548—1181no—
1020#548—1181no—
1021#547—1181no—
1022#547—1181no—
1023#547—1181no—
1024#546—1181no—
1025#546—1181no—
1026#546—1181no—
1027#546—1181no—
1028#546—1181no—
1029#546—1181no—
1030D42—1181no—
1031D42—1181no—
1032D42—1181no—
1033#537—591no—
1034#537—591no—
1035#537—591no—
1036#537—591no—
1037#537—591no—
1038#537—591no—
1039#536—591no—
1040#536—591no—
1041#536—591no—
1042#535—591no—
1043#535—591no—
1044#535—591no—
1045#525—591no—
1046#525—591no—
1047#525—591no—
1048#525—591no—
1049#525—591no—
1050#525—591no—
1051C2×C22⋊Q8—591no—
1052C2×C22⋊Q8—591no—
1053C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1054C2×#121—591no—
1055C2×#121—591no—
1056C2×#121C2×D5911yescharacteristic
1057#520—591no—
1058#520—591no—
1059#485—591no—
1060#485—591no—
1061#485—591no—
1062#485—591no—
1063#485—591no—
1064#485—591no—
1065#485—591no—
1066#485—591no—
1067#484—591no—
1068#484—591no—
1069#484—591no—
1070#484—591no—
1071#484C2×D5911yescharacteristic, complemented
1072#484C2×D5911yescharacteristic, complemented
1073#483—591no—
1074#483—591no—
1075#482—591no—
1076#482—591no—
1077#482—591no—
1078#482—591no—
1079#482—591no—
1080#482—591no—
1081#482—591no—
1082#482—591no—
1083#481—591no—
1084#481—591no—
1085#480—591no—
1086#480—591no—
1087#480—591no—
1088#480—591no—
1089#480C2×D5911yescharacteristic, complemented
1090#480C2×D5911yescharacteristic, complemented
1091#470—591no—
1092#470—591no—
1093#470—591no—
1094#470—591no—
1095#469—591no—
1096#469—591no—
1097#469—591no—
1098#469—591no—
1099#468—591no—
1100#468—591no—
1101#468—591no—
1102#468—591no—
1103#468—591no—
1104#468—591no—
1105#468—591no—
1106#468—591no—
1107#468—591no—
1108#468—591no—
1109#468—591no—
1110#468—591no—
1111#468C2×D5911yescharacteristic, complemented
1112#468C2×D5911yescharacteristic, complemented
1113#468C2×D5911yescharacteristic, complemented
1114#468C2×D5911yescharacteristic, complemented
1115#467—591no—
1116#467—591no—
1117#466—591no—
1118#466—591no—
1119#465—591no—
1120#465—591no—
1121#465—591no—
1122#465—591no—
1123#452—591no—
1124#452—591no—
1125#452—591no—
1126#452—591no—
1127#452—591no—
1128#452—591no—
1129#452—591no—
1130#452—591no—
1131#451—591no—
1132#451—591no—
1133#450—591no—
1134#450—591no—
1135#450—591no—
1136#450—591no—
1137#450C2×D5911yescharacteristic, complemented
1138#450C2×D5911yescharacteristic, complemented
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449—591no—
1147#448—591no—
1148#448—591no—
1149#448—591no—
1150#448—591no—
1151#448C2×D5911yescharacteristic, complemented
1152#448C2×D5911yescharacteristic, complemented
1153#447—591no—
1154#447—591no—
1155#428—591no—
1156#428—591no—
1157#427—591no—
1158C2×#107—591no—
1159#419—591no—
1160#418—591no—
1161#417—591no—
1162#417—591no—
1163#416—591no—
1164#416—591no—
1165C2×#103—591no—
1166C2×#102—591no—
1167#408—591no—
1168#408—591no—
1169#408—591no—
1170#408—591no—
1171#408—591no—
1172#408—591no—
1173#408—591no—
1174#408—591no—
1175#407—591no—
1176#407—591no—
1177#407—591no—
1178#407C2×D5911yescharacteristic, complemented
1179C59#6077211yescharacteristic, complemented, Sylow
11802−1+4—2362no—
11812−1+4—2362no—
1182H(5,𝔽2)—2362no—
1183H(5,𝔽2)—2362no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—591no—
1190C2×#41—591no—
1191C2×#41—591no—
1192C2×#41—591no—
1193C2×#41—591no—
1194C2×#41—591no—
1195C2×#41—591no—
1196C2×#41—591no—
1197C2×#41—591no—
1198C2×#41—1181no—
1199C2×#41—1181no—
1200C2×#41—1181no—
1201C2×#41—1181no—
1202C2×#41—2362no—
1203C2×#41—2362no—
1204C22×Q8—591no—
1205C22×Q8—591no—
1206C22×Q8—591no—
1207C22×Q8—1181no—
1208C22×Q8C22×D5911yescharacteristic
1209C22×D4—21no—
1210C22×D4—591no—
1211C22×D4—591no—
1212C22×D4—591no—
1213C22×D4—591no—
1214C22×D4—591no—
1215C22×D4—1181no—
1216C22×D4—1181no—
1217C22×D4—1181no—
1218C22×D4—1181no—
1219C22×D4—1181no—
1220C22×D4C22×D5911yescharacteristic
1221C23×C4—591no—
1222C23×C4—591no—
1223C23×C4C22×D5911yescharacteristic
1224#137—2362no—
1225AGL(1,ℤ/8)—2362no—
1226#135—2362no—
1227C2×Q16—591no—
1228C2×Q16—591no—
1229C2×Q16—591no—
1230C2×SD16—591no—
1231C2×SD16—591no—
1232C2×SD16—591no—
1233C2×SD16—591no—
1234C2×SD16—591no—
1235C2×SD16—591no—
1236C2×SD16—2362no—
1237C2×SD16C22×D5911yescharacteristic
1238C2×SD16C22×D5911yescharacteristic
1239C2×SD16C22×D5911yescharacteristic
1240C2×SD16C22×D5911yescharacteristic
1241C2×D8—591no—
1242C2×D8—591no—
1243C2×D8—591no—
1244C2×M16—591no—
1245C2×M16—591no—
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16—591no—
1250C2×M16—2362no—
1251C2×M16—2362no—
1252C2×M16C22×D5911yescharacteristic
1253C2×M16C22×D5911yescharacteristic
1254C22×C8—591no—
1255C22×C8—591no—
1256C22×C8—591no—
1257C22×C8—591no—
1258C4⋊Q8—1181no—
1259C4⋊Q8—1181no—
1260C4⋊Q8—1181no—
1261#127—1181no—
1262#127—1181no—
1263#127—1181no—
1264#124—1181no—
1265#124—1181no—
1266#124—1181no—
1267#124—1181no—
1268#124—1181no—
1269#124—1181no—
1270#123—1181no—
1271#123—1181no—
1272#123—1181no—
1273#123—1181no—
1274#123—1181no—
1275#123—1181no—
1276#123—1181no—
1277#123—1181no—
1278#123—1181no—
1279#123—1181no—
1280#123—1181no—
1281#123—1181no—
1282C22⋊Q8—21no—
1283C22⋊Q8—21no—
1284C22⋊Q8—591no—
1285C22⋊Q8—591no—
1286C22⋊Q8—591no—
1287C22⋊Q8—591no—
1288C22⋊Q8—591no—
1289C22⋊Q8—591no—
1290C22⋊Q8—591no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—591no—
1294C22⋊Q8—591no—
1295C22⋊Q8—591no—
1296C22⋊Q8—1181no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8—1181no—
1303C22⋊Q8—1181no—
1304C22⋊Q8—1181no—
1305C22⋊Q8—1181no—
1306C22⋊Q8C22×D5911yescharacteristic
1307C22⋊Q8C22×D5911yescharacteristic
1308C22⋊Q8C22×D5911yescharacteristic
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—21no—
1311#121—21no—
1312#121—591no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121C22×D5911yescharacteristic
1347#121C22×D5911yescharacteristic
1348#121C22×D5911yescharacteristic
1349#121C22×D5911yescharacteristic
1350#120—1181no—
1351#120—1181no—
1352#120—1181no—
1353#120—1181no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360#120—1181no—
1361#120—1181no—
1362C4×Q8—1181no—
1363C4×Q8—1181no—
1364C4×D4—1181no—
1365C4×D4—1181no—
1366C4×D4—1181no—
1367C4×D4—1181no—
1368C4×D4—1181no—
1369C4×D4—1181no—
1370C4×D4—1181no—
1371C4×D4—1181no—
1372C4×D4—1181no—
1373C4×D4—1181no—
1374C4×D4—1181no—
1375C4×D4—1181no—
1376C4×D4—1181no—
1377C4×D4—1181no—
1378C4×D4—1181no—
1379C4×D4—1181no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382#117—591no—
1383#117—591no—
1384#117—591no—
1385#117—591no—
1386#117—591no—
1387#117—591no—
1388C2×C4⋊C4—21no—
1389C2×C4⋊C4—591no—
1390C2×C4⋊C4—591no—
1391C2×C4⋊C4—591no—
1392C2×C4⋊C4—591no—
1393C2×C4⋊C4—1181no—
1394C2×C4⋊C4—1181no—
1395C2×C4⋊C4C22×D5911yescharacteristic
1396C2×C4⋊C4C22×D5911yescharacteristic
1397C2×C22⋊C4—21no—
1398C2×C22⋊C4—21no—
1399C2×C22⋊C4—1181no—
1400C2×C22⋊C4—1181no—
1401C2×C22⋊C4—1181no—
1402C2×C22⋊C4—1181no—
1403#107—591no—
1404#107—591no—
1405#107—591no—
1406#107—591no—
1407#107—591no—
1408#107—591no—
1409#107C22×D5911yescharacteristic
1410#107C22×D5911yescharacteristic
1411#107C22×D5911yescharacteristic
1412#107C22×D5911yescharacteristic
1413#106—591no—
1414#106—591no—
1415#106—591no—
1416#106—591no—
1417#106—591no—
1418#106—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103—591no—
1425#103—591no—
1426#103—591no—
1427#103—591no—
1428#103—591no—
1429#103—591no—
1430#103—591no—
1431#103C22×D5911yescharacteristic
1432#103C22×D5911yescharacteristic
1433#103C22×D5911yescharacteristic
1434#103C22×D5911yescharacteristic
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102—591no—
1445#102—591no—
1446#102—591no—
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450#102C22×D5911yescharacteristic
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8—591no—
1461C22⋊C8—591no—
1462C22⋊C8—591no—
1463C22⋊C8C22×D5911yescharacteristic
1464C22⋊C8C22×D5911yescharacteristic
1465C22⋊C8C22×D5911yescharacteristic
1466C22⋊C8C22×D5911yescharacteristic
1467C24—21no—
1468C24—591no—
1469C24—591no—
1470C24—1181no—
1471C24—1181no—
1472C24D4×D5911yescharacteristic
1473#41—1182no—
1474#41—1182no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—1182no—
1481#41—2361no—
1482#41—2361no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2362no—
1490#41—2362no—
1491#41—2362no—
1492#41—2362no—
1493#41—2364no—
1494#41—2364no—
1495#41—2361no—
1496#41—2361no—
1497#41—2361no—
1498#41—2361no—
1499#41—2364no—
1500#41—2364no—
1501C2×Q8—21no—
1502C2×Q8—41no—
1503C2×Q8—41no—
1504C2×Q8—591no—
1505C2×Q8—591no—
1506C2×Q8—591no—
1507C2×Q8—591no—
1508C2×Q8—591no—
1509C2×Q8—591no—
1510C2×Q8—1181no—
1511C2×Q8—1181no—
1512C2×Q8—1182no—
1513C2×Q8—1182no—
1514C2×Q8—2362no—
1515C2×Q8—2361no—
1516C2×Q8—2361no—
1517C2×Q8—2364no—
1518C2×Q8C23×D5911yescharacteristic
1519C2×Q8C23×D5911yescharacteristic
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—41no—
1526C2×D4—41no—
1527C2×D4—82no—
1528C2×D4—591no—
1529C2×D4—591no—
1530C2×D4—591no—
1531C2×D4—591no—
1532C2×D4—591no—
1533C2×D4—591no—
1534C2×D4—591no—
1535C2×D4—591no—
1536C2×D4—591no—
1537C2×D4—591no—
1538C2×D4—591no—
1539C2×D4—591no—
1540C2×D4—591no—
1541C2×D4—591no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1182no—
1549C2×D4—1182no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1181no—
1562C2×D4—1181no—
1563C2×D4—1181no—
1564C2×D4—4722no—
1565C2×D4—4722no—
1566C2×D4—2362no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2362no—
1570C2×D4—2364no—
1571C2×D4—2362no—
1572C2×D4—2364no—
1573C2×D4—2364no—
1574C2×D4C23×D5911yescharacteristic
1575C2×D4C23×D5911yescharacteristic
1576C22×C4—21no—
1577C22×C4—21no—
1578C22×C4—21no—
1579C22×C4—41no—
1580C22×C4—41no—
1581C22×C4—591no—
1582C22×C4—591no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
1586C22×C4—591no—
1587C22×C4—591no—
1588C22×C4—591no—
1589C22×C4—591no—
1590C22×C4—591no—
1591C22×C4—1182no—
1592C22×C4—1182no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4—1181no—
1599C22×C4—1181no—
1600C22×C4—1181no—
1601C22×C4—1181no—
1602C22×C4—1181no—
1603C22×C4—1181no—
1604C22×C4—1181no—
1605C22×C4—2361no—
1606C22×C4—2361no—
1607C22×C4D4×D5911yescharacteristic
1608C22×C4D4×D5911yescharacteristic
1609C22×C4D4×D5911yescharacteristic
1610C22×C4C23×D5911yescharacteristic
1611C22×C4C23×D5911yescharacteristic
1612C22×C4C23×D5911yescharacteristic
1613Q16—2361no—
1614Q16—2361no—
1615Q16—2361no—
1616SD16—41no—
1617SD16—41no—
1618SD16—41no—
1619SD16—41no—
1620SD16—2361no—
1621SD16—2361no—
1622SD16—2361no—
1623SD16—2361no—
1624SD16—2361no—
1625SD16—2361no—
1626D8—2361no—
1627D8—2361no—
1628D8—2361no—
1629M16—41no—
1630M16—41no—
1631M16—1182no—
1632M16—1182no—
1633M16—2361no—
1634M16—2361no—
1635M16—2361no—
1636M16—2361no—
1637C2×C8—591no—
1638C2×C8—591no—
1639C2×C8—591no—
1640C2×C8—591no—
1641C2×C8—1182no—
1642C2×C8—1182no—
1643C2×C8—2361no—
1644C2×C8—2361no—
1645C2×C8C23×D5911yescharacteristic
1646C2×C8C23×D5911yescharacteristic
1647C2×C8C23×D5911yescharacteristic
1648C2×C8C23×D5911yescharacteristic
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—21no—
1654C4⋊C4—21no—
1655C4⋊C4—591no—
1656C4⋊C4—591no—
1657C4⋊C4—591no—
1658C4⋊C4—591no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4—1181no—
1663C4⋊C4—1181no—
1664C4⋊C4—1181no—
1665C4⋊C4—1181no—
1666C4⋊C4—1181no—
1667C4⋊C4—1181no—
1668C4⋊C4—1181no—
1669C4⋊C4—1181no—
1670C4⋊C4—1181no—
1671C4⋊C4—1181no—
1672C4⋊C4—1181no—
1673C4⋊C4—1181no—
1674C4⋊C4—1181no—
1675C4⋊C4C23×D5911yescharacteristic
1676C4⋊C4C23×D5911yescharacteristic
1677C4⋊C4C23×D5911yescharacteristic
1678C4⋊C4C23×D5911yescharacteristic
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—21no—
1683C22⋊C4—21no—
1684C22⋊C4—21no—
1685C22⋊C4—21no—
1686C22⋊C4—21no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4—1181no—
1709C22⋊C4—1181no—
1710C22⋊C4—1181no—
1711C22⋊C4—1181no—
1712C22⋊C4—1181no—
1713C22⋊C4—1181no—
1714C22⋊C4—1181no—
1715C22⋊C4—1181no—
1716C22⋊C4—1181no—
1717C42—1181no—
1718C42—1181no—
1719C42—1181no—
1720C42—1181no—
1721C42—1181no—
1722C42—1181no—
1723C23—21no—
1724C23—21no—
1725C23—41no—
1726C23—41no—
1727C23—41no—
1728C23—42no—
1729C23—81no—
1730C23—81no—
1731C23—591no—
1732C23—591no—
1733C23—591no—
1734C23—591no—
1735C23—1182no—
1736C23—1181no—
1737C23—1181no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—2361no—
1743C23—2361no—
1744C23—2361no—
1745C23—2361no—
1746C23—2361no—
1747C23—2362no—
1748C23—2362no—
1749C23C2×D4×D5911yescharacteristic
1750C23C2×D4×D5911yescharacteristic
1751C23C2×D4×D5911yescharacteristic
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—21no—
1756Q8—42no—
1757Q8—1182no—
1758Q8—1182no—
1759Q8—1181no—
1760Q8—1181no—
1761Q8—1181no—
1762Q8—1181no—
1763Q8—2361no—
1764Q8—2361no—
1765Q8—2362no—
1766Q8—2362no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—21no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—81no—
1775D4—81no—
1776D4—1182no—
1777D4—1182no—
1778D4—1182no—
1779D4—1182no—
1780D4—1182no—
1781D4—1182no—
1782D4—1181no—
1783D4—1181no—
1784D4—1181no—
1785D4—1181no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—2361no—
1797D4—2361no—
1798D4—2362no—
1799D4—2362no—
1800D4—2362no—
1801D4—2361no—
1802D4—2361no—
1803D4—2361no—
1804D4—2361no—
1805D4—2362no—
1806D4—2362no—
1807D4—2362no—
1808D4—2362no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
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—41no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—42no—
1828C2×C4—81no—
1829C2×C4—81no—
1830C2×C4—591no—
1831C2×C4—592no—
1832C2×C4—592no—
1833C2×C4—591no—
1834C2×C4—591no—
1835C2×C4—591no—
1836C2×C4—1182no—
1837C2×C4—1182no—
1838C2×C4—1182no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—1181no—
1848C2×C4—1181no—
1849C2×C4—1181no—
1850C2×C4—1181no—
1851C2×C4—4721no—
1852C2×C4—4721no—
1853C2×C4—4721no—
1854C2×C4—4721no—
1855C2×C4—2361no—
1856C2×C4—2361no—
1857C2×C4—2362no—
1858C2×C4—2362no—
1859C2×C4—2362no—
1860C2×C4—2362no—
1861C2×C4—2362no—
1862C2×C4—2362no—
1863C2×C4—2362no—
1864C2×C4—2361no—
1865C2×C4—2362no—
1866C2×C4C2×D4×D5911yescharacteristic
1867C2×C4C2×D4×D5911yescharacteristic
1868C2×C4C2×D4×D5911yescharacteristic
1869C2×C4C24×D5911yescharacteristic
1870C8—21no—
1871C8—21no—
1872C8—21no—
1873C8—21no—
1874C8—1181no—
1875C8—1181no—
1876C8—1181no—
1877C8—1181no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—21no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—41no—
1891C22—41no—
1892C22—41no—
1893C22—82no—
1894C22—162no—
1895C22—592no—
1896C22—1181no—
1897C22—1181no—
1898C22—1181no—
1899C22—1181no—
1900C22—1181no—
1901C22—1181no—
1902C22—1181no—
1903C22—1181no—
1904C22—1181no—
1905C22—1181no—
1906C22—1181no—
1907C22—9442no—
1908C22—9442no—
1909C22—4722no—
1910C22—4722no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22—2361no—
1916C22—2361no—
1917C22C22×D4×D5911yescharacteristic
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—41no—
1926C4—41no—
1927C4—592no—
1928C4—1181no—
1929C4—1181no—
1930C4—1181no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4—2361no—
1935C4—2361no—
1936C4—2361no—
1937C4H(5,𝔽2)×D5911yescharacteristic
1938C4H(5,𝔽2)×D5911yescharacteristic
1939C2—41no—
1940C2—41no—
1941C2—41no—
1942C2—81no—
1943C2—81no—
1944C2—1182no—
1945C2—4721no—
1946C2—4721no—
1947C2—2361no—
1948C2—2361no—
1949C2—2361no—
1950C2#534×D5911yescharacteristic
1951C2#2143887211yescharacteristic
1952C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3193C2
socleC22×C59C23×D4
hypercenter#3193D59
hypocenterC59#60772
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3193

Complements

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

NH ≅ G/Ntype
1. #21437772C2semidirect
2. #21437761C2semidirect
3. #21435000C2semidirect
4. #21434996C2semidirect
5. #21434983C2semidirect
6. #21434974C2semidirect
7. #21434966C2semidirect
8. #21434965C2semidirect
9. #21434955C2semidirect
10. #21434952C2semidirect
11. #21434938C2semidirect
12. #21434934C2semidirect
13. #21434926C2semidirect
14. #21434921C2semidirect
15. #21434911C2semidirect
16. #21434910C2semidirect
17. #21434897C2semidirect
18. #21434075C2semidirect
19. #21434069C2semidirect
20. #21434064C2semidirect
21. #21434047C2semidirect
22. #21433721C2semidirect
23. #21433710C2semidirect
24. #21433700C2semidirect
25. #468×D59C2semidirect
26. #21433406C2semidirect
27. #21433401C2semidirect
28. #21433377C2semidirect
29. #21433368C2semidirect
30. #21432539C2semidirect
31. C59×#3193C2semidirect
32. C2×#14273775C22semidirect
35. C2×#14273756C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273748C22semidirect
38. C2×SD16×D59C22semidirect
39. C2×M16×D59C22semidirect
40. C2×M16×D59C22semidirect
58. #16837983C22semidirect
60. #16837982C22semidirect
63. #16837976C22semidirect
65. #16837975C22semidirect
69. #16837915C22semidirect
70. #16837915C22semidirect
72. #16837913C22semidirect
75. C22⋊Q8×D59C22semidirect
76. C22⋊Q8×D59C22semidirect
80. #16837883C22semidirect
81. #16837745C22semidirect
82. #16837745C22semidirect
83. #16837744C22semidirect
84. #16837744C22semidirect
85. #16837742C22semidirect
86. #16837741C22semidirect
87. #16837740C22semidirect
88. #16837740C22semidirect
89. #16837739C22semidirect
90. #16837739C22semidirect
91. #16837737C22semidirect
92. #16837736C22semidirect
93. #16837732C22semidirect
94. #16837731C22semidirect
95. #16837729C22semidirect
96. #16837729C22semidirect
97. #16837727C22semidirect
98. #16837727C22semidirect
99. #16837725C22semidirect
100. #16837724C22semidirect
101. #16837723C22semidirect
102. #16837723C22semidirect
103. #16837720C22semidirect
104. #16837719C22semidirect
105. #16837717C22semidirect
106. #16837717C22semidirect
107. #16837715C22semidirect
108. #16837714C22semidirect
109. #16837660C22semidirect
110. #16837659C22semidirect
111. #16837658C22semidirect
112. #16837658C22semidirect
113. #16837655C22semidirect
114. #16837654C22semidirect
115. #16837653C22semidirect
116. #16837653C22semidirect
117. #16837651C22semidirect
118. #16837650C22semidirect
119. #16837650C22semidirect
120. #16837649C22semidirect
121. #16837649C22semidirect
122. #16837648C22semidirect
123. #16837648C22semidirect
124. #16837647C22semidirect
125. #16837646C22semidirect
126. #16837646C22semidirect
127. #16837645C22semidirect
128. #16837645C22semidirect
129. #16837644C22semidirect
130. #16837642C22semidirect
131. #16837639C22semidirect
132. #16837637C22semidirect
133. #16837634C22semidirect
134. #16837630C22semidirect
135. #16837628C22semidirect
136. #16837628C22semidirect
137. #16837567C22semidirect
138. #16837566C22semidirect
139. #16837566C22semidirect
140. #16837565C22semidirect
141. #16837562C22semidirect
142. #16837562C22semidirect
143. #16837561C22semidirect
144. #16837561C22semidirect
145. #16837559C22semidirect
146. #16837558C22semidirect
147. #16837554C22semidirect
148. #16837553C22semidirect
149. #16837551C22semidirect
150. #16837551C22semidirect
151. #16837550C22semidirect
152. #16837549C22semidirect
153. #16837549C22semidirect
154. #16837548C22semidirect
155. #16837546C22semidirect
156. #16837546C22semidirect
157. #16837545C22semidirect
158. #16837545C22semidirect
159. #16837542C22semidirect
160. #16837541C22semidirect
161. #16837539C22semidirect
162. #16837539C22semidirect
163. #16837537C22semidirect
164. #16837536C22semidirect
165. #16837443C22semidirect
166. #16837443C22semidirect
167. #16837439C22semidirect
168. #107×D59C22semidirect
169. #16837409C22semidirect
170. #16837405C22semidirect
171. #16837402C22semidirect
172. #16837400C22semidirect
173. #16837397C22semidirect
174. #16837395C22semidirect
175. #103×D59C22semidirect
176. #102×D59C22semidirect
179. #16837367C22semidirect
180. #16837367C22semidirect
181. #16837367C22semidirect
182. #16837367C22semidirect
183. #16837367C22semidirect
184. #16837367C22semidirect
185. #16837366C22semidirect
186. #16837365C22semidirect
187. #16837365C22semidirect
188. C2×C22⋊Q8×C59C22semidirect
190. C59×#484C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#480C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#468C22semidirect
197. C59×#468C22semidirect
198. C59×#450C22semidirect
199. C59×#450C22semidirect
200. C59×#448C22semidirect
201. C59×#448C22semidirect
202. C59×#407C22semidirect
980. #3193D59semidirect
1053. C2×C22⋊Q8C2×D59semidirect
1071. #484C2×D59semidirect
1072. #484C2×D59semidirect
1089. #480C2×D59semidirect
1090. #480C2×D59semidirect
1111. #468C2×D59semidirect
1112. #468C2×D59semidirect
1113. #468C2×D59semidirect
1114. #468C2×D59semidirect
1137. #450C2×D59semidirect
1138. #450C2×D59semidirect
1151. #448C2×D59semidirect
1152. #448C2×D59semidirect
1178. #407C2×D59semidirect
1179. C59#60772semidirect

Maximal subgroups

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

subgroupindex
#214377722
#214377612
#214350002
#214349962
#214349832
#214349742
#214349662
#214349652
#214349552
#214349522
#214349382
#214349342
#214349262
#214349212
#214349112
#214349102
#214348972
#214340752
#214340692
#214340642
#214340472
#214337212
#214337102
#214337002
#468×D592
#214334062
#214334012
#214333772
#214333682
#214325392
C59×#31932
#6077259