Finite Group Databasebeta

← #29457059

Subgroups — #29457059

Order 15104.

2038 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437481C211yesmaximal, characteristic, complemented
2#21437295C211yesmaximal, characteristic, complemented
3#21434395C211yesmaximal, characteristic, complemented
4#21434386C211yesmaximal, characteristic, complemented
5#21434377C211yesmaximal, characteristic, complemented
6#21434371C211yesmaximal, characteristic, complemented
7#21434362C211yesmaximal, characteristic, complemented
8#21434356C211yesmaximal, characteristic, complemented
9#21434347C211yesmaximal, characteristic, complemented
10#21434338C211yesmaximal, characteristic, complemented
11#21434329C211yesmaximal, characteristic, complemented
12#21434323C211yesmaximal, characteristic, complemented
13#21434314C211yesmaximal, characteristic, complemented
14#21434308C211yesmaximal, characteristic, complemented
15#21434299C211yesmaximal, characteristic, complemented
16#21434293C211yesmaximal, characteristic, complemented
17#21434284C211yesmaximal, characteristic, complemented
18#21434278C211yesmaximal, characteristic, complemented
19#21434013C211yesmaximal, characteristic, complemented
20#21434007C211yesmaximal, characteristic, complemented
21#21433882C211yesmaximal, characteristic, complemented
22#21433880C211yesmaximal, characteristic, complemented
23#21433549C211yesmaximal, characteristic, complemented
24#21433547C211yesmaximal, characteristic, complemented
25#21433316C211yesmaximal, characteristic, complemented
26#21433310C211yesmaximal, characteristic, complemented
27#21432898C211yesmaximal, characteristic, complemented
28C4×#14273747C211yesmaximal, characteristic, complemented
29C4×#14273747C211yesmaximal, characteristic, complemented
30C2×#16837464C211yesmaximal, characteristic, complemented
31C59×#2943C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C2×#14273749C2211yescharacteristic
34C2×#14273747C2211yescharacteristic
35C2×#14273747C2211yescharacteristic
36#16838024C2211yescharacteristic
37#16838024C2211yescharacteristic, complemented
38#16838017C2211yescharacteristic
39#16838017C2211yescharacteristic, complemented
40#16838010C2211yescharacteristic
41#16838010C2211yescharacteristic, complemented
42#16838003C2211yescharacteristic
43#16838003C2211yescharacteristic, complemented
44#16837994—21no—
45#16837994—21no—
46#16837985—21no—
47#16837985—21no—
48#16837955C2211yescharacteristic, complemented
49#16837948C2211yescharacteristic, complemented
50#16837936—21no—
51#16837936—21no—
52#16837930—21no—
53#16837930—21no—
54#16837914C2211yescharacteristic
55#16837909C2211yescharacteristic
56#16837884C2211yescharacteristic
57#16837884C2211yescharacteristic
58#16837881—21no—
59#16837881—21no—
60#16837881C2211yescharacteristic
61#16837881C2211yescharacteristic
62#16837878C2211yescharacteristic
63#16837878C2211yescharacteristic
64#16837874—21no—
65#16837874—21no—
66#16837874C2211yescharacteristic
67#16837874C2211yescharacteristic
68#41×Dic59C2211yescharacteristic
69C4×#11745685—21no—
70C4×#11745685C2211yescharacteristic
71C4×#11745685C2211yescharacteristic, complemented
72#16837870—21no—
73#16837870C2211yescharacteristic
74C2×#14273684—21no—
75C2×#14273684C2211yescharacteristic
76#117×D59—21no—
77#117×D59C2211yescharacteristic
78#16837746C2211yescharacteristic
79#16837745C2211yescharacteristic
80#16837742C2211yescharacteristic
81#16837741C2211yescharacteristic
82#16837739C2211yescharacteristic, complemented
83#16837736C2211yescharacteristic, complemented
84#16837734C2211yescharacteristic, complemented
85#16837731C2211yescharacteristic, complemented
86#16837729C2211yescharacteristic
87#16837728C2211yescharacteristic
88#16837725C2211yescharacteristic
89#16837724C2211yescharacteristic
90#16837722C2211yescharacteristic, complemented
91#16837719C2211yescharacteristic, complemented
92#16837717C2211yescharacteristic, complemented
93#16837714C2211yescharacteristic, complemented
94#16837712C2211yescharacteristic, complemented
95#16837711C2211yescharacteristic, complemented
96#16837708C2211yescharacteristic, complemented
97#16837707C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837704C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837700C2211yescharacteristic, complemented
102#16837696C2211yescharacteristic, complemented
103#16837695C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837686C2211yescharacteristic, complemented
107#16837685C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837627C2211yescharacteristic, complemented
111#16837626C2211yescharacteristic, complemented
112#16837623C2211yescharacteristic, complemented
113#16837622C2211yescharacteristic, complemented
114#16837620C2211yescharacteristic, complemented
115#16837619C2211yescharacteristic, complemented
116#16837616C2211yescharacteristic, complemented
117#16837615C2211yescharacteristic, complemented
118#16837611C2211yescharacteristic, complemented
119#16837610C2211yescharacteristic, complemented
120#16837606C2211yescharacteristic, complemented
121#16837605C2211yescharacteristic, complemented
122#16837601C2211yescharacteristic, complemented
123#16837600C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic, complemented
126#16837567C2211yescharacteristic
127#16837565C2211yescharacteristic
128#16837563C2211yescharacteristic
129#16837561C2211yescharacteristic
130#16837559C2211yescharacteristic
131#16837556C2211yescharacteristic
132#16837554C2211yescharacteristic
133#16837551C2211yescharacteristic
134#16837550C2211yescharacteristic
135#16837548C2211yescharacteristic
136#16837546C2211yescharacteristic
137#16837544C2211yescharacteristic
138#16837542C2211yescharacteristic
139#16837539C2211yescharacteristic
140#16837537C2211yescharacteristic
141#16837534C2211yescharacteristic
142#16837515C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837510C2211yescharacteristic, complemented
145#16837510C2211yescharacteristic, complemented
146#16837504C2211yescharacteristic, complemented
147#16837504C2211yescharacteristic, complemented
148#16837504C2211yescharacteristic, complemented
149#16837504C2211yescharacteristic, complemented
150C4×#11745672C2211yescharacteristic, complemented
151C4×#11745672C2211yescharacteristic, complemented
152C4×#11745672C2211yescharacteristic, complemented
153C4×#11745672C2211yescharacteristic, complemented
154C4×#11745671C2211yescharacteristic, complemented
155C4×#11745671C2211yescharacteristic, complemented
156C4×#11745671C2211yescharacteristic, complemented
157C4×#11745671C2211yescharacteristic, complemented
158C4×#11745670C2211yescharacteristic, complemented
159C4×#11745670C2211yescharacteristic, complemented
160C4×#11745670C2211yescharacteristic, complemented
161C4×#11745670C2211yescharacteristic, complemented
162C4×#11745669C2211yescharacteristic, complemented
163C4×#11745669C2211yescharacteristic, complemented
164C4×#11745669C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic, complemented
166#16837464C2211yescharacteristic
167#16837464C2211yescharacteristic
168#16837464C2211yescharacteristic
169#16837464C2211yescharacteristic
170#16837464C2211yescharacteristic, complemented
171#16837464C2211yescharacteristic, complemented
172#16837464C2211yescharacteristic, complemented
173#16837464C2211yescharacteristic, complemented
174#16837440C2211yescharacteristic, complemented
175#16837438C2211yescharacteristic, complemented
176#16837438C2211yescharacteristic, complemented
177C2×Dic59⋊C8C2211yescharacteristic, complemented
178C2×Dic59⋊C8C2211yescharacteristic, complemented
179#16837399C2211yescharacteristic
180#16837399C2211yescharacteristic, complemented
181#16837398C2211yescharacteristic
182#16837398C2211yescharacteristic, complemented
183#16837396C2211yescharacteristic
184#16837396C2211yescharacteristic, complemented
185C2×(C2×D59)⋊C8C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic
187C2×C4×C59⋊C8C2211yescharacteristic, complemented
188C2×#135×C59C2211yescharacteristic
189C4×#41×C59C2211yescharacteristic
190C4×#41×C59C2211yescharacteristic, complemented
191C59×#442C2211yescharacteristic, complemented
192C59×#442C2211yescharacteristic, complemented
193C59×#441C2211yescharacteristic, complemented
194C59×#441C2211yescharacteristic, complemented
195C59×#440C2211yescharacteristic, complemented
196C59×#440C2211yescharacteristic, complemented
197C59×#440C2211yescharacteristic, complemented
198C59×#440C2211yescharacteristic, complemented
199C59×#427C2211yescharacteristic, complemented
200C59×#416C2211yescharacteristic
201C59×#416C2211yescharacteristic, complemented
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685—21no—
205C2×#11745685C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745687—21no—
208C2×#11745687C2311yescharacteristic
209#41×D59—24no—
210#41×D59—24no—
211C2×Q8×D59C2311yescharacteristic
212C2×D4×D59—21no—
213C2×D4×D59C2311yescharacteristic
214C22×C4×D59—21no—
215C22×C4×D59C2311yescharacteristic
216#14273749—24no—
217#14273747—24no—
218#14273747—24no—
219C2×Dic236C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×#11745671C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×#11745669C2311yescharacteristic
230C2×#11745669C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232C22×C59⋊C8C2311yescharacteristic
233#14273726C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273725C2311yescharacteristic
236#14273723C2311yescharacteristic
237#14273722—21no—
238#14273722—21no—
239#14273721—21no—
240#14273721—21no—
241#14273721—21no—
242#14273721—21no—
243#14273720—21no—
244#14273720—21no—
245#14273719—21no—
246#14273719—21no—
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273717—21no—
250#14273717—21no—
251#14273716C2311yescharacteristic
252#14273715—21no—
253#14273715—21no—
254#14273714C2311yescharacteristic
255#14273713—21no—
256#14273713—21no—
257#14273712—21no—
258#14273712—21no—
259#14273711—21no—
260#14273710—21no—
261#14273710—21no—
262#14273710—21no—
263#14273710—21no—
264#14273709—21no—
265#14273709—21no—
266#14273708—21no—
267#14273707C2311yescharacteristic
268#14273707C2311yescharacteristic
269#14273706—21no—
270#14273706—21no—
271#14273705—21no—
272#14273705—21no—
273#14273704—21no—
274#14273704—21no—
275#14273703C2311yescharacteristic
276#14273703C2311yescharacteristic
277#14273702C2311yescharacteristic
278#14273702C2311yescharacteristic
279#14273701—21no—
280#14273701—21no—
281#14273700—21no—
282#14273700—21no—
283#14273699—21no—
284#14273699—21no—
285#14273698C2311yescharacteristic
286#14273698C2311yescharacteristic
287#14273697—21no—
288#14273695—21no—
289Q8×Dic59C2311yescharacteristic
290Q8×Dic59C2311yescharacteristic
291C4×Dic118—21no—
292C4×Dic118—21no—
293C4×Dic118—21no—
294C4×Dic118—21no—
295C4×Dic118C2311yescharacteristic
296C4×Dic118C2311yescharacteristic
297C4×Dic118C2311yescharacteristic
298C4×Dic118C2311yescharacteristic
299#14273692—21no—
300#14273692—21no—
301#14273692C2311yescharacteristic
302#14273692C2311yescharacteristic
303C4×D236—21no—
304C4×D236—21no—
305C4×D236—21no—
306C4×D236—21no—
307C4×D236C2311yescharacteristic
308C4×D236C2311yescharacteristic
309C4×D236C2311yescharacteristic
310C4×D236C2311yescharacteristic
311D4×Dic59—21no—
312D4×Dic59—21no—
313D4×Dic59C2311yescharacteristic
314D4×Dic59C2311yescharacteristic
315#14273689—21no—
316#14273689—21no—
317#14273689C2311yescharacteristic
318#14273689C2311yescharacteristic
319C4×C22⋊D59—21no—
320C4×C22⋊D59—21no—
321C4×C22⋊D59—21no—
322C4×C22⋊D59—21no—
323C4×C22⋊D59—21no—
324C4×C22⋊D59—21no—
325C4×C22⋊D59—21no—
326C4×C22⋊D59—21no—
327C4×C22⋊D59—21no—
328C4×C22⋊D59—21no—
329C4×C22⋊D59—21no—
330C4×C22⋊D59—21no—
331(C22⋊D59)⋊C4—21no—
332(C22⋊D59)⋊C4—21no—
333(C22⋊D59)⋊C4—21no—
334(C22⋊D59)⋊C4—21no—
335(C22⋊D59)⋊C4—21no—
336(C22⋊D59)⋊C4—21no—
337#14273686—21no—
338#14273686C2311yescharacteristic
339#14273686C2311yescharacteristic
340#14273685—21no—
341#14273685—21no—
342#14273685C2311yescharacteristic
343#14273685C2311yescharacteristic
344#14273684—21no—
345#14273684—21no—
346#14273684—21no—
347#14273684—21no—
348#14273684—21no—
349#14273684—21no—
350#14273684—21no—
351#14273684—21no—
352#14273684D411yescharacteristic
353#14273684D411yescharacteristic
354#14273684D411yescharacteristic
355#14273684D411yescharacteristic
356#14273684C2311yescharacteristic
357#14273684C2311yescharacteristic
358#14273684C2311yescharacteristic
359#14273684C2311yescharacteristic
360#14273683—21no—
361#14273683—21no—
362#14273683—21no—
363C2×Dic59⋊C4—21no—
364C2×Dic59⋊C4—21no—
365C2×Dic59⋊C4D411yescharacteristic
366C2×Dic59⋊C4D411yescharacteristic
367C4⋊C4×D59—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59C2311yescharacteristic
370C4⋊C4×D59C2311yescharacteristic
371C2×(C2×D59)⋊C4—21no—
372C2×(C2×D59)⋊C4—21no—
373C2×(C2×D59)⋊C4D411yescharacteristic
374C2×(C2×D59)⋊C4D411yescharacteristic
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C2×C4×Dic59C2311yescharacteristic
380C42×D59—21no—
381C42×D59—21no—
382C42×D59—21no—
383C42×D59—21no—
384#14273661C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436C4×C59⋊C8C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C4×C59⋊C8C2311yescharacteristic
439C4×C59⋊C8C2311yescharacteristic
440C2×#41×C59C2311yescharacteristic
441C2×#41×C59C2311yescharacteristic
442#135×C59—24no—
443C2×Q16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×SD16×C59C2311yescharacteristic
446C2×D8×C59C2311yescharacteristic
447C22×C8×C59C2311yescharacteristic
448C22×C8×C59C2311yescharacteristic
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59—21no—
456C4×D4×C59—21no—
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461#117×C59—21no—
462#117×C59—21no—
463#117×C59C2311yescharacteristic
464#117×C59C2311yescharacteristic
465C2×C42×C59—21no—
466C2×C42×C59—21no—
467C2×C42×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482#97×C59C2311yescharacteristic
483#97×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59C2×D411yescharacteristic
486#41×C59—22no—
487#41×C59—22no—
488#41×C59—22no—
489#41×C59#4114yes—
490C2×Q8×C59C2411yescharacteristic
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59—21no—
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2×D411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59C2×D411yescharacteristic
517C22×Dic59C2×D411yescharacteristic
518C22×Dic59C2×D411yescharacteristic
519#11745689—22no—
520#11745689—22no—
521Q8×D59—22no—
522Q8×D59—22no—
523#11745687—28no—
524#11745687—22no—
525#11745687—22no—
526D4×D59—28no—
527D4×D59—22no—
528D4×D59—22no—
529#11745685—28no—
530#11745685—22no—
531#11745685—22no—
532#11745685—22no—
533#11745685#4114yes—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236C2411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×C4×D59—28no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—22no—
543C2×C4×D59—22no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59C2×D411yescharacteristic
555C2×C4×D59C2×D411yescharacteristic
556C2×C4×D59C2411yescharacteristic
557C2×C4×D59C2411yescharacteristic
558C2×Dic118—21no—
559C2×Dic118—21no—
560C2×Dic118—21no—
561C2×Dic118C2411yescharacteristic
562C2×Dic118C2411yescharacteristic
563Q16×C59—22no—
564SD16×C59—22no—
565SD16×C59—22no—
566D8×C59—22no—
567C2×C8×C59—22no—
568C2×C8×C59—22no—
569C2×C8×C59C2411yescharacteristic
570C2×C8×C59C2411yescharacteristic
571C2×C8×C59C2411yescharacteristic
572C2×C8×C59C2411yescharacteristic
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C42×C59—21no—
588C42×C59—21no—
589C42×C59—21no—
590C42×C59—21no—
591C42×C59—21no—
592C42×C59—21no—
593C42×C59C2×D411yescharacteristic
594C42×C59C2×D411yescharacteristic
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59—21no—
605#11745672—22no—
606#11745672—22no—
607#11745671—22no—
608#11745671—22no—
609#11745670—22no—
610#11745670—22no—
611#11745669—22no—
612#11745669—22no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4C2×D411yescharacteristic
630(C2×D59)⋊C4C2×D411yescharacteristic
631(C2×D59)⋊C4C2×D411yescharacteristic
632(C2×D59)⋊C4C2×D411yescharacteristic
633(C2×D59)⋊C4C2×D411yescharacteristic
634(C2×D59)⋊C4C2×D411yescharacteristic
635(C2×D59)⋊C4C2×D411yescharacteristic
636(C2×D59)⋊C4C2×D411yescharacteristic
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59C2411yescharacteristic
644C4⋊Dic59C2411yescharacteristic
645C4⋊Dic59C2411yescharacteristic
646C4⋊Dic59C2411yescharacteristic
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670Dic59⋊C4C2×D411yescharacteristic
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59—21no—
681C4×Dic59—21no—
682C4×Dic59—21no—
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C2×C59⋊C8—22no—
688C2×C59⋊C8—22no—
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693Dic236—22no—
694D472—22no—
695#11745660—22no—
696#11745660—22no—
697C23×C59—21no—
698C23×C59—21no—
699C23×C59C22×D411yescharacteristic
700C22×D59—21no—
701C22×D59—24no—
702C22×D59—22no—
703C22×D59—21no—
704C22×D59—41no—
705C22×D59—41no—
706C22×D59—81no—
707C22×D59—81no—
708C22×D59C22×D411yescharacteristic
709C22×D59C22×D411yescharacteristic
710Q8×C59—21no—
711Q8×C59—21no—
712Q8×C59—21no—
713Q8×C59C2×#4112yes—
714D4×C59—24no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—21no—
718D4×C59—42no—
719D4×C59C2×#4112yes—
720C2×C4×C59—21no—
721C2×C4×C59—24no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—41no—
728C2×C4×C59—41no—
729C2×C4×C59—42no—
730C2×C4×C59—81no—
731C2×C4×C59—81no—
732C2×C4×C59—81no—
733C2×C4×C59—81no—
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C22×D411yescharacteristic
737C2×C4×C59C22×D411yescharacteristic
738C2×C4×C59C22×D411yescharacteristic
739C2×C4×C59C2×#4112yes—
740C2×C4×C59C2×#4112yes—
741C2×C4×C59C2511yescharacteristic
742C22⋊D59—24no—
743C22⋊D59—24no—
744C22⋊D59—24no—
745C22⋊D59—42no—
746C22⋊D59—81no—
747C22⋊D59—81no—
748C22⋊D59—81no—
749C22⋊D59—81no—
750C2×Dic59—24no—
751C2×Dic59—22no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—41no—
759C2×Dic59—41no—
760C2×Dic59—81no—
761C2×Dic59—81no—
762C2×Dic59C22×D411yescharacteristic
763C2×Dic59C22×D411yescharacteristic
764C2×Dic59C22×D411yescharacteristic
765C2×Dic59C22×D411yescharacteristic
766C2×Dic59C22×D411yescharacteristic
767C2×Dic59C22×D411yescharacteristic
768D236—24no—
769D236—21no—
770D236—21no—
771D236—21no—
772D236—81no—
773D236—81no—
774D236C2×#4112yes—
775C4×D59—24no—
776C4×D59—24no—
777C4×D59—22no—
778C4×D59—24no—
779C4×D59—22no—
780C4×D59—21no—
781C4×D59—21no—
782C4×D59—21no—
783C4×D59—21no—
784C4×D59—42no—
785C4×D59—81no—
786C4×D59—81no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793Dic118—24no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—81no—
798Dic118—81no—
799Dic118C2×#4112yes—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59—21no—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#60557—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—22no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59#52512yes—
818C22×C59C23×D411yescharacteristic
819C2×D59—21no—
820C2×D59—21no—
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—21no—
824C2×D59—21no—
825C2×D59—22no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—82no—
832C2×D59—84no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—22no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59#52512yes—
844C4×C59C22×#4111yescharacteristic
845C4×C59C22×#4111yescharacteristic
846Dic59—21no—
847Dic59—21no—
848Dic59—21no—
849Dic59—21no—
850Dic59—21no—
851Dic59—22no—
852Dic59—21no—
853Dic59—41no—
854Dic59—41no—
855Dic59—41no—
856Dic59—41no—
857Dic59—41no—
858#3455—591no—
859#3428—591no—
860#3127—591no—
861#3126—591no—
862#3125—591no—
863#3125—591no—
864#3124—591no—
865#3124—591no—
866#3123—591no—
867#3122—591no—
868#3121—591no—
869#3121—591no—
870#3120—591no—
871#3120—591no—
872#3119—591no—
873#3119—591no—
874#3118—591no—
875#3118—591no—
876#3091—591no—
877#3091—591no—
878#3076—591no—
879#3076—591no—
880#3035—591no—
881#3035—591no—
882#3002—591no—
883#3002—591no—
884#2943—591no—
885#2943D5911yescharacteristic, complemented
886C4×#135—591no—
887C4×#135—591no—
888C2×#433—591no—
889C2×C59—22no—
890C2×C59—42no—
891C2×C59—81no—
892C2×C59C2×#52511yescharacteristic
893C2×C59#358411yescharacteristic
894C2×C59#358411yescharacteristic
895D59—41no—
896D59—41no—
897D59—42no—
898D59—81no—
899C22×#41—591no—
900C2×#135—591no—
901C2×#135—591no—
902C2×#135—591no—
903C2×#135C2×D5911yescharacteristic
904#542—591no—
905#542—591no—
906#542—591no—
907#542—591no—
908#541—591no—
909#541—591no—
910#540—591no—
911#540—591no—
912#539—1181no—
913#539—1181no—
914#538—1181no—
915#538—1181no—
916#533—591no—
917#532—591no—
918#529—1181no—
919#529—1181no—
920#529—1181no—
921#529—1181no—
922#525—591no—
923#525—591no—
924#520—591no—
925#520—591no—
926#520—591no—
927#520—591no—
928#520—1181no—
929#520—1181no—
930#519—591no—
931#519—591no—
932#518—591no—
933#518—591no—
934#518—1181no—
935#518—1181no—
936C4×#41—591no—
937C4×#41—591no—
938C4×#41—591no—
939C4×#41—591no—
940C4×#41—1181no—
941C4×#41—1181no—
942C4×#41C2×D5911yescharacteristic
943C4×#41C2×D5911yescharacteristic, complemented
944C2×#117—591no—
945C2×#117—591no—
946C2×#117—1181no—
947C2×#117—1181no—
948#485—591no—
949#485—591no—
950#485—591no—
951#485—591no—
952#484—591no—
953#484—591no—
954#483—591no—
955#483—591no—
956#482—591no—
957#482—591no—
958#482—591no—
959#482—591no—
960#481—591no—
961#481—591no—
962#480—591no—
963#480—591no—
964#479—591no—
965#479—591no—
966#479—591no—
967#479—591no—
968#478—591no—
969#478—591no—
970#478—591no—
971#478—591no—
972#477—591no—
973#477—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475—591no—
978#474—591no—
979#474—591no—
980#464—591no—
981#464—591no—
982#464—591no—
983#464—591no—
984#463—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#462—591no—
989#462—591no—
990#461—591no—
991#461—591no—
992#460—591no—
993#460—591no—
994#459—591no—
995#459—591no—
996#452—591no—
997#452—591no—
998#452—591no—
999#452—591no—
1000#451—591no—
1001#451—591no—
1002#450—591no—
1003#450—591no—
1004#449—591no—
1005#449—591no—
1006#449—591no—
1007#449—591no—
1008#448—591no—
1009#448—591no—
1010#447—591no—
1011#447—591no—
1012#442—591no—
1013#442—591no—
1014#442C2×D5911yescharacteristic, complemented
1015#442C2×D5911yescharacteristic, complemented
1016#441—591no—
1017#441—591no—
1018#441C2×D5911yescharacteristic, complemented
1019#441C2×D5911yescharacteristic, complemented
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440C2×D5911yescharacteristic, complemented
1025#440C2×D5911yescharacteristic, complemented
1026#440C2×D5911yescharacteristic, complemented
1027#440C2×D5911yescharacteristic, complemented
1028C4×Q16—591no—
1029C4×Q16—591no—
1030C4×Q16—591no—
1031C4×Q16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×D8—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#433—591no—
1045#433—591no—
1046#433—591no—
1047#433—591no—
1048#433—591no—
1049#433—591no—
1050#433—591no—
1051#433—591no—
1052#427—591no—
1053#427—591no—
1054#427—591no—
1055#427C2×D5911yescharacteristic, complemented
1056C2×C4⋊C8—591no—
1057C2×C4⋊C8—591no—
1058#416—591no—
1059#416—591no—
1060#416—591no—
1061#416—591no—
1062#416—591no—
1063#416—591no—
1064#416C2×D5911yescharacteristic
1065#416C2×D5911yescharacteristic, complemented
1066C2×C22⋊C8—591no—
1067C2×C22⋊C8—591no—
1068C2×#97C2×D5911yescharacteristic, complemented
1069C2×C4×C8—591no—
1070C59#6055711yescharacteristic, complemented, Sylow
1071C2×#41—591no—
1072C2×#41—591no—
1073C2×#41—591no—
1074C2×#41—591no—
1075C2×#41—1181no—
1076C2×#41—1181no—
1077C2×#41—1184no—
1078C2×#41—1184no—
1079C2×#41C22×D5911yescharacteristic
1080C2×#41C22×D5911yescharacteristic
1081C22×Q8—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—591no—
1085C23×C4—1181no—
1086#135—24no—
1087#135—1184no—
1088#135—1184no—
1089#135—1184no—
1090C2×Q16—591no—
1091C2×Q16—591no—
1092C2×Q16—591no—
1093C2×Q16C22×D5911yescharacteristic
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—591no—
1099C2×SD16—591no—
1100C2×SD16C22×D5911yescharacteristic
1101C2×SD16C22×D5911yescharacteristic
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×D8C22×D5911yescharacteristic
1106C22×C8—591no—
1107C22×C8—591no—
1108C22×C8C22×D5911yescharacteristic
1109C22×C8C22×D5911yescharacteristic
1110C4⋊Q8—591no—
1111C4⋊Q8—591no—
1112C4⋊Q8—591no—
1113#127—591no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#125—591no—
1123#125—591no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125—1181no—
1128#124—591no—
1129#124—591no—
1130#124—1181no—
1131#124—1181no—
1132#124—1181no—
1133#124—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154#121—591no—
1155#121—591no—
1156#121—591no—
1157#121—591no—
1158#121—1181no—
1159#121—1181no—
1160#121—1181no—
1161#121—1181no—
1162#121—1181no—
1163#121—1181no—
1164#120—1181no—
1165#120—1181no—
1166C4×Q8—591no—
1167C4×Q8—591no—
1168C4×Q8—591no—
1169C4×Q8—591no—
1170C4×Q8—591no—
1171C4×Q8—591no—
1172C4×Q8—591no—
1173C4×Q8—591no—
1174C4×Q8—1181no—
1175C4×Q8—1181no—
1176C4×Q8—1181no—
1177C4×Q8—1181no—
1178C4×Q8—1181no—
1179C4×Q8—1181no—
1180C4×Q8C22×D5911yescharacteristic
1181C4×Q8C22×D5911yescharacteristic
1182C4×Q8C22×D5911yescharacteristic
1183C4×Q8C22×D5911yescharacteristic
1184C4×D4—21no—
1185C4×D4—21no—
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—591no—
1189C4×D4—591no—
1190C4×D4—591no—
1191C4×D4—591no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—1181no—
1197C4×D4—1181no—
1198C4×D4—1181no—
1199C4×D4—1181no—
1200C4×D4—1181no—
1201C4×D4—1181no—
1202C4×D4—1181no—
1203C4×D4—1181no—
1204C4×D4—1181no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4C22×D5911yescharacteristic
1223C4×D4C22×D5911yescharacteristic
1224C4×D4C22×D5911yescharacteristic
1225C4×D4C22×D5911yescharacteristic
1226#117—21no—
1227#117—21no—
1228#117—591no—
1229#117—591no—
1230#117—591no—
1231#117—591no—
1232#117—591no—
1233#117—591no—
1234#117—591no—
1235#117—591no—
1236#117—591no—
1237#117—591no—
1238#117—591no—
1239#117—591no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
1254#117C22×D5911yescharacteristic
1255#117C22×D5911yescharacteristic
1256C2×C4⋊C4—591no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4—1181no—
1262C2×C4⋊C4—1181no—
1263C2×C4⋊C4—1181no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—1181no—
1267C2×C22⋊C4—1181no—
1268C2×C22⋊C4—1181no—
1269C2×C22⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C42—21no—
1272C2×C42—21no—
1273C2×C42—591no—
1274C2×C42—1181no—
1275C2×C42—1181no—
1276C2×C42—1181no—
1277C2×C42—1181no—
1278C2×C42—1181no—
1279C2×C42C22×D5911yescharacteristic
1280#107—591no—
1281#107—591no—
1282#107—591no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107C22×D5911yescharacteristic
1287#107C22×D5911yescharacteristic
1288#106—591no—
1289#106—591no—
1290#106—591no—
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106C22×D5911yescharacteristic
1295#106C22×D5911yescharacteristic
1296C4⋊C8—591no—
1297C4⋊C8—591no—
1298C4⋊C8—591no—
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103—591no—
1314#103—591no—
1315#103—591no—
1316#103C22×D5911yescharacteristic
1317#103C22×D5911yescharacteristic
1318#103C22×D5911yescharacteristic
1319#103C22×D5911yescharacteristic
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102C22×D5911yescharacteristic
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336C22⋊C8—591no—
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342C22⋊C8—591no—
1343C22⋊C8—591no—
1344#97C22×D5911yescharacteristic
1345#97C22×D5911yescharacteristic
1346#97C22×D5911yescharacteristic
1347#97C22×D5911yescharacteristic
1348C4×C8—591no—
1349C4×C8—591no—
1350C4×C8—591no—
1351C4×C8—591no—
1352C24—591no—
1353C24—1181no—
1354#41—22no—
1355#41—22no—
1356#41—22no—
1357#41—594no—
1358#41—1188no—
1359#41—1182no—
1360#41—1188no—
1361#41—1182no—
1362#41—1182no—
1363#41—1182no—
1364#41—1182no—
1365#41—1182no—
1366#41—1182no—
1367#41#1174568514yes—
1368C2×Q8—591no—
1369C2×Q8—591no—
1370C2×Q8—1181no—
1371C2×Q8—1181no—
1372C2×Q8—1181no—
1373C2×Q8—1182no—
1374C2×Q8—1182no—
1375C2×Q8C23×D5911yescharacteristic
1376C2×Q8C23×D5911yescharacteristic
1377C2×D4—21no—
1378C2×D4—21no—
1379C2×D4—591no—
1380C2×D4—591no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1182no—
1388C2×D4—1188no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1182no—
1392C2×D4—1181no—
1393C2×D4—1181no—
1394C2×D4—1181no—
1395C2×D4C23×D5911yescharacteristic
1396C2×D4C23×D5911yescharacteristic
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—21no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1188no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1182no—
1422C22×C4—1182no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—1181no—
1426C22×C4—1181no—
1427C22×C4—1181no—
1428C22×C4D4×D5911yescharacteristic
1429C22×C4D4×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—22no—
1432Q16—1182no—
1433Q16—1182no—
1434Q16—1182no—
1435SD16—22no—
1436SD16—22no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—1182no—
1440SD16—1182no—
1441SD16—1182no—
1442SD16—1182no—
1443D8—22no—
1444D8—1182no—
1445D8—1182no—
1446D8—1182no—
1447C2×C8—22no—
1448C2×C8—22no—
1449C2×C8—591no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—1182no—
1454C2×C8—1182no—
1455C2×C8C23×D5911yescharacteristic
1456C2×C8C23×D5911yescharacteristic
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C4⋊C4—21no—
1460C4⋊C4—21no—
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—591no—
1464C4⋊C4—591no—
1465C4⋊C4—591no—
1466C4⋊C4—591no—
1467C4⋊C4—591no—
1468C4⋊C4—591no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4C23×D5911yescharacteristic
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—591no—
1508C22⋊C4—591no—
1509C22⋊C4—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C42—21no—
1540C42—21no—
1541C42—21no—
1542C42—21no—
1543C42—21no—
1544C42—21no—
1545C42—591no—
1546C42—591no—
1547C42—591no—
1548C42—591no—
1549C42—1181no—
1550C42—1181no—
1551C42—1181no—
1552C42—1181no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42D4×D5911yescharacteristic
1562C42D4×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C42C23×D5911yescharacteristic
1565C23—21no—
1566C23—21no—
1567C23—591no—
1568C23—591no—
1569C23—1184no—
1570C23—1182no—
1571C23—1181no—
1572C23—1181no—
1573C23—4721no—
1574C23—4721no—
1575C23—2361no—
1576C23—2361no—
1577C23C2×D4×D5911yescharacteristic
1578Q8—21no—
1579Q8—21no—
1580Q8—21no—
1581Q8—592no—
1582Q8—1184no—
1583Q8—1181no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—4721no—
1587Q8—4721no—
1588Q8C2×#1174568512yes—
1589D4—24no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—42no—
1594D4—592no—
1595D4—1184no—
1596D4—1184no—
1597D4—1184no—
1598D4—1184no—
1599D4—1181no—
1600D4—1181no—
1601D4—1181no—
1602D4—4721no—
1603D4—4721no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—4721no—
1608D4—2362no—
1609D4C2×#1174568512yes—
1610C2×C4—21no—
1611C2×C4—24no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—41no—
1618C2×C4—41no—
1619C2×C4—42no—
1620C2×C4—81no—
1621C2×C4—81no—
1622C2×C4—81no—
1623C2×C4—81no—
1624C2×C4—591no—
1625C2×C4—591no—
1626C2×C4—591no—
1627C2×C4—591no—
1628C2×C4—591no—
1629C2×C4—591no—
1630C2×C4—1184no—
1631C2×C4—1184no—
1632C2×C4—1184no—
1633C2×C4—1182no—
1634C2×C4—1181no—
1635C2×C4—1182no—
1636C2×C4—1182no—
1637C2×C4—1184no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—4721no—
1654C2×C4—4721no—
1655C2×C4—4721no—
1656C2×C4—4721no—
1657C2×C4—2361no—
1658C2×C4—2361no—
1659C2×C4—2362no—
1660C2×C4C2×D4×D5911yescharacteristic
1661C2×C4C2×D4×D5911yescharacteristic
1662C2×C4C2×D4×D5911yescharacteristic
1663C2×C4C2×D4×D5911yescharacteristic
1664C2×C4C2×D4×D5911yescharacteristic
1665C2×C4#41×D5912yes—
1666C2×C4C2×#1174568512yes—
1667C2×C4C24×D5911yescharacteristic
1668C8—21no—
1669C8—21no—
1670C8—21no—
1671C8—21no—
1672C8—1181no—
1673C8—1181no—
1674C8—1181no—
1675C8—1181no—
1676C22—21no—
1677C22—21no—
1678C22—22no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—1181no—
1685C22—1181no—
1686C22—1181no—
1687C22—1181no—
1688C22—1181no—
1689C22—1182no—
1690C22—1181no—
1691C22—4722no—
1692C22—4724no—
1693C22—2361no—
1694C22—2361no—
1695C22—2361no—
1696C22—2361no—
1697C22—2361no—
1698C22#1683791112yes—
1699C22C22×D4×D5911yescharacteristic
1700C4—21no—
1701C4—21no—
1702C4—21no—
1703C4—21no—
1704C4—22no—
1705C4—41no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—1181no—
1711C4—1181no—
1712C4—1181no—
1713C4—1181no—
1714C4—1181no—
1715C4—1181no—
1716C4—1182no—
1717C4—2361no—
1718C4—2361no—
1719C4—2361no—
1720C4—2361no—
1721C4—2361no—
1722C4#1683791112yes—
1723C4C2×#41×D5911yescharacteristic
1724C4C22×#1174568511yescharacteristic
1725C2—22no—
1726C2—42no—
1727C2—81no—
1728C2—4721no—
1729C2—2361no—
1730C2—2361no—
1731C2—2362no—
1732C2C2×#1683791111yescharacteristic
1733C2#2143886911yescharacteristic
1734C2#2143886911yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#2943C2
socleC22×C59C23×D4
hypercenter#2943D59
hypocenterC59#60557
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #2943

Complements

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

NH ≅ G/Ntype
1. #21437481C2semidirect
2. #21437295C2semidirect
3. #21434395C2semidirect
4. #21434386C2semidirect
5. #21434377C2semidirect
6. #21434371C2semidirect
7. #21434362C2semidirect
8. #21434356C2semidirect
9. #21434347C2semidirect
10. #21434338C2semidirect
11. #21434329C2semidirect
12. #21434323C2semidirect
13. #21434314C2semidirect
14. #21434308C2semidirect
15. #21434299C2semidirect
16. #21434293C2semidirect
17. #21434284C2semidirect
18. #21434278C2semidirect
19. #21434013C2semidirect
20. #21434007C2semidirect
21. #21433882C2semidirect
22. #21433880C2semidirect
23. #21433549C2semidirect
24. #21433547C2semidirect
25. #21433316C2semidirect
26. #21433310C2semidirect
27. #21432898C2semidirect
28. C4×#14273747C2semidirect
29. C4×#14273747C2semidirect
30. C2×#16837464C2semidirect
31. C59×#2943C2semidirect
37. #16838024C22semidirect
39. #16838017C22semidirect
41. #16838010C22semidirect
43. #16838003C22semidirect
48. #16837955C22semidirect
49. #16837948C22semidirect
71. C4×#11745685C22semidirect
82. #16837739C22semidirect
83. #16837736C22semidirect
84. #16837734C22semidirect
85. #16837731C22semidirect
90. #16837722C22semidirect
91. #16837719C22semidirect
92. #16837717C22semidirect
93. #16837714C22semidirect
94. #16837712C22semidirect
95. #16837711C22semidirect
96. #16837708C22semidirect
97. #16837707C22semidirect
98. #16837705C22semidirect
99. #16837704C22semidirect
100. #16837701C22semidirect
101. #16837700C22semidirect
102. #16837696C22semidirect
103. #16837695C22semidirect
104. #16837691C22semidirect
105. #16837690C22semidirect
106. #16837686C22semidirect
107. #16837685C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837627C22semidirect
111. #16837626C22semidirect
112. #16837623C22semidirect
113. #16837622C22semidirect
114. #16837620C22semidirect
115. #16837619C22semidirect
116. #16837616C22semidirect
117. #16837615C22semidirect
118. #16837611C22semidirect
119. #16837610C22semidirect
120. #16837606C22semidirect
121. #16837605C22semidirect
122. #16837601C22semidirect
123. #16837600C22semidirect
124. #16837596C22semidirect
125. #16837595C22semidirect
142. #16837515C22semidirect
143. #16837515C22semidirect
144. #16837510C22semidirect
145. #16837510C22semidirect
146. #16837504C22semidirect
147. #16837504C22semidirect
148. #16837504C22semidirect
149. #16837504C22semidirect
150. C4×#11745672C22semidirect
151. C4×#11745672C22semidirect
152. C4×#11745672C22semidirect
153. C4×#11745672C22semidirect
154. C4×#11745671C22semidirect
155. C4×#11745671C22semidirect
156. C4×#11745671C22semidirect
157. C4×#11745671C22semidirect
158. C4×#11745670C22semidirect
159. C4×#11745670C22semidirect
160. C4×#11745670C22semidirect
161. C4×#11745670C22semidirect
162. C4×#11745669C22semidirect
163. C4×#11745669C22semidirect
164. C4×#11745669C22semidirect
165. C4×#11745669C22semidirect
170. #16837464C22semidirect
171. #16837464C22semidirect
172. #16837464C22semidirect
173. #16837464C22semidirect
174. #16837440C22semidirect
175. #16837438C22semidirect
176. #16837438C22semidirect
177. C2×Dic59⋊C8C22semidirect
178. C2×Dic59⋊C8C22semidirect
180. #16837399C22semidirect
182. #16837398C22semidirect
184. #16837396C22semidirect
187. C2×C4×C59⋊C8C22semidirect
190. C4×#41×C59C22semidirect
191. C59×#442C22semidirect
192. C59×#442C22semidirect
193. C59×#441C22semidirect
194. C59×#441C22semidirect
195. C59×#440C22semidirect
196. C59×#440C22semidirect
197. C59×#440C22semidirect
198. C59×#440C22semidirect
199. C59×#427C22semidirect
201. C59×#416C22semidirect
202. C2×#97×C59C22semidirect
885. #2943D59semidirect
943. C4×#41C2×D59semidirect
1014. #442C2×D59semidirect
1015. #442C2×D59semidirect
1018. #441C2×D59semidirect
1019. #441C2×D59semidirect
1024. #440C2×D59semidirect
1025. #440C2×D59semidirect
1026. #440C2×D59semidirect
1027. #440C2×D59semidirect
1055. #427C2×D59semidirect
1065. #416C2×D59semidirect
1068. C2×#97C2×D59semidirect
1070. C59#60557semidirect

Maximal subgroups

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

subgroupindex
#214374812
#214372952
#214343952
#214343862
#214343772
#214343712
#214343622
#214343562
#214343472
#214343382
#214343292
#214343232
#214343142
#214343082
#214342992
#214342932
#214342842
#214342782
#214340132
#214340072
#214338822
#214338802
#214335492
#214335472
#214333162
#214333102
#214328982
C4×#142737472
C2×#168374642
C59×#29432
#6055759