Finite Group Databasebeta

← #29475648

Subgroups — #29475648

Order 15104.

2160 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438518C211yesmaximal, characteristic, complemented
2#21437872C211yesmaximal, characteristic, complemented
3#21436244C211yesmaximal, characteristic, complemented
4#21436236C211yesmaximal, characteristic, complemented
5#21436229C211yesmaximal, characteristic, complemented
6#21436221C211yesmaximal, characteristic, complemented
7#21436124C211yesmaximal, characteristic, complemented
8#21436116C211yesmaximal, characteristic, complemented
9#21436109C211yesmaximal, characteristic, complemented
10#21436101C211yesmaximal, characteristic, complemented
11#21435680C211yesmaximal, characteristic, complemented
12#21435676C211yesmaximal, characteristic, complemented
13#21435642C211yesmaximal, characteristic, complemented
14#21435635C211yesmaximal, characteristic, complemented
15#21435590C211yesmaximal, characteristic, complemented
16#21435586C211yesmaximal, characteristic, complemented
17#21435575C211yesmaximal, characteristic, complemented
18#21435571C211yesmaximal, characteristic, complemented
19#21435114C211yesmaximal, characteristic, complemented
20#21434965C211yesmaximal, characteristic, complemented
21#21434959C211yesmaximal, characteristic, complemented
22#21434952C211yesmaximal, characteristic, complemented
23#21434944C211yesmaximal, characteristic, complemented
24#21434207C211yesmaximal, characteristic, complemented
25#21434199C211yesmaximal, characteristic, complemented
26#21433401C211yesmaximal, characteristic, complemented
27#21433395C211yesmaximal, characteristic, complemented
28#21433368C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433166C211yesmaximal, characteristic, complemented
31C59×#3217C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#14273772C2211yescharacteristic, complemented
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C2×#14273746C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838154—21no—
43#16838143—21no—
44#16838115—21no—
45#16838105C2211yescharacteristic, complemented
46#16838102C2211yescharacteristic, complemented
47#16838093C2211yescharacteristic, complemented
48#16838090C2211yescharacteristic, complemented
49#16838076—21no—
50#16838072C2211yescharacteristic
51#16838072C2211yescharacteristic
52#16838072C2211yescharacteristic, complemented
53#16838072C2211yescharacteristic, complemented
54#16838064C2211yescharacteristic, complemented
55#16838060C2211yescharacteristic, complemented
56#16838047C2211yescharacteristic, complemented
57#16838045C2211yescharacteristic, complemented
58#16838037C2211yescharacteristic
59#16838037C2211yescharacteristic
60#16838037C2211yescharacteristic, complemented
61#16838037C2211yescharacteristic, complemented
62D4×C22⋊D59—21no—
63D4×C22⋊D59—21no—
64D4×C22⋊D59—21no—
65D4×C22⋊D59—21no—
66#16838004—21no—
67#16838003—21no—
68#16837988—21no—
69#16837985—21no—
70#16837982C2211yescharacteristic, complemented
71#16837981C2211yescharacteristic, complemented
72#16837975C2211yescharacteristic, complemented
73#16837969C2211yescharacteristic
74#16837969C2211yescharacteristic, complemented
75#16837968C2211yescharacteristic, complemented
76#16837965—21no—
77#16837965—21no—
78#16837952C2211yescharacteristic
79#16837950—21no—
80#127×D59—21no—
81#16837936C2211yescharacteristic, complemented
82C4×#11745685C2211yescharacteristic, complemented
83#16837789C2211yescharacteristic, complemented
84#16837789C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837766C2211yescharacteristic, complemented
87#16837744C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837727C2211yescharacteristic, complemented
90#16837725C2211yescharacteristic, complemented
91#16837725C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837714C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837710C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837654C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837652C2211yescharacteristic, complemented
106#16837652C2211yescharacteristic, complemented
107#16837647C2211yescharacteristic, complemented
108#16837647C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837630C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837625C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837599C2211yescharacteristic, complemented
124#16837599C2211yescharacteristic, complemented
125#16837594C2211yescharacteristic, complemented
126#16837594C2211yescharacteristic, complemented
127#16837566C2211yescharacteristic, complemented
128#16837565C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837554C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837553C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837551C2211yescharacteristic, complemented
138#16837551C2211yescharacteristic, complemented
139#16837549C2211yescharacteristic
140#16837548C2211yescharacteristic, complemented
141#16837548C2211yescharacteristic, complemented
142#16837546C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic, complemented
144#16837545C2211yescharacteristic
145#16837544C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837539C2211yescharacteristic, complemented
150#16837539C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837536C2211yescharacteristic, complemented
154#16837536C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837510C2211yescharacteristic, complemented
162#16837507C2211yescharacteristic, complemented
163#16837504C2211yescharacteristic, complemented
164#16837504C2211yescharacteristic, complemented
165#16837502C2211yescharacteristic, complemented
166#16837500C2211yescharacteristic, complemented
167#16837475C2211yescharacteristic, complemented
168#16837475C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837475C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837459C2211yescharacteristic, complemented
176#16837405C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837400C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C2×#127×C59C2211yescharacteristic, complemented
189C59×#529C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic, complemented
191C59×#496C2211yescharacteristic, complemented
192C59×#490C2211yescharacteristic, complemented
193C59×#490C2211yescharacteristic, complemented
194C59×#460C2211yescharacteristic, complemented
195C59×#460C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217C2×#11745687C2311yescharacteristic
218C2×Q8×D59C2311yescharacteristic
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234#14273756—42no—
235#14273754—42no—
236#14273751—42no—
237#14273751—42no—
238#14273748—42no—
239#14273746—42no—
240C2×Dic236C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745660C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250SD16×D59—42no—
251C2×D472C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257D8×D59—42no—
258C2×#11745659C2311yescharacteristic
259C2×#11745659C2311yescharacteristic
260C2×#11745659C2311yescharacteristic
261C2×#11745659C2311yescharacteristic
262C2×C8×D59C2311yescharacteristic
263C2×C8×D59C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266#14273727D411yescharacteristic
267#14273726—21no—
268#14273724D411yescharacteristic
269#14273723—21no—
270#14273723—21no—
271#14273723—21no—
272#14273723—21no—
273#14273723—21no—
274#14273723—21no—
275#14273723—21no—
276#14273722—21no—
277#14273722—21no—
278#14273721—21no—
279#14273721—21no—
280#14273720—21no—
281#14273719C2311yescharacteristic
282#14273718—21no—
283#14273717—21no—
284#14273715—21no—
285#14273715D411yescharacteristic
286#14273715D411yescharacteristic
287#14273715C2311yescharacteristic
288#14273714—21no—
289#14273714—21no—
290#14273713—21no—
291#14273713—21no—
292#14273713—21no—
293#14273712—21no—
294#14273712—21no—
295#14273712—21no—
296#14273712—21no—
297#14273711—21no—
298#14273710—21no—
299#14273710—21no—
300#14273709—21no—
301#14273709—21no—
302#14273707—21no—
303#14273707C2311yescharacteristic
304#14273707C2311yescharacteristic
305#14273706C2311yescharacteristic
306#14273705—21no—
307#14273704—21no—
308#14273704—21no—
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273701D411yescharacteristic
318#14273701D411yescharacteristic
319#14273701D411yescharacteristic
320#14273701D411yescharacteristic
321#14273701C2311yescharacteristic
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273698—21no—
338#14273698—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698—21no—
342#14273698C2311yescharacteristic
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273698C2311yescharacteristic
351#14273698C2311yescharacteristic
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#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366#14273695—21no—
367#14273695—21no—
368C4×Dic118C2311yescharacteristic
369C4×Dic118C2311yescharacteristic
370C4×Dic118C2311yescharacteristic
371C4×D236—21no—
372C4×D236C2311yescharacteristic
373C4×D236C2311yescharacteristic
374C4×D236C2311yescharacteristic
375C4×D236C2311yescharacteristic
376C4×D236C2311yescharacteristic
377C4×D236C2311yescharacteristic
378C4×D236C2311yescharacteristic
379D4×Dic59—21no—
380D4×Dic59—21no—
381D4×Dic59—21no—
382D4×Dic59—21no—
383#14273689—21no—
384C4×C22⋊D59—21no—
385C4×C22⋊D59—21no—
386C4×C22⋊D59—21no—
387C4×C22⋊D59—21no—
388(C22⋊D59)⋊C4—21no—
389#14273686C2311yescharacteristic
390#14273685—21no—
391#14273685C2311yescharacteristic
392#14273685C2311yescharacteristic
393#14273684—21no—
394#14273684—21no—
395#14273684—21no—
396C4⋊C4×D59C2311yescharacteristic
397C4⋊C4×D59C2311yescharacteristic
398C2×(C2×D59)⋊C4—21no—
399C22⋊C4×D59—21no—
400C42×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273659C2311yescharacteristic
406#14273659C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273648C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
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#14273638C2311yescharacteristic
446#14273638C2311yescharacteristic
447C22×D4×C59—21no—
448C22×D4×C59—21no—
449C22×D4×C59C2311yescharacteristic
450C22×D4×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×D8×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459#127×C59—21no—
460#127×C59—21no—
461#127×C59C2311yescharacteristic
462#127×C59C2311yescharacteristic
463#127×C59C2311yescharacteristic
464#127×C59C2311yescharacteristic
465#126×C59—21no—
466#125×C59C2311yescharacteristic
467#124×C59C2311yescharacteristic
468#123×C59—21no—
469C22⋊Q8×C59C2311yescharacteristic
470#121×C59C2311yescharacteristic
471C4×Q8×C59C2311yescharacteristic
472C4×D4×C59—21no—
473C4×D4×C59C2311yescharacteristic
474#117×C59—21no—
475C2×C42×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488#97×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C2×Q8×C59C2411yescharacteristic
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—41no—
510C2×D4×C59—41no—
511C2×D4×C59—41no—
512C2×D4×C59—41no—
513C2×D4×C59—82no—
514C2×D4×C59—82no—
515C2×D4×C59C2411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C22×C4×C59—21no—
521C22×C4×C59C2×D411yescharacteristic
522C22×C4×C59C2×D411yescharacteristic
523C22×C4×C59C2411yescharacteristic
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—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—44no—
547C2×C22⋊D59—44no—
548C2×C22⋊D59—44no—
549C2×C22⋊D59—44no—
550C2×C22⋊D59C2×D411yescharacteristic
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C2×C22⋊D59C2×D411yescharacteristic
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59—21no—
559#11745689—41no—
560#11745689—41no—
561Q8×D59—41no—
562Q8×D59—41no—
563#11745687—22no—
564#11745687—22no—
565#11745687—22no—
566#11745687—22no—
567#11745687—41no—
568#11745687—41no—
569#11745687—41no—
570#11745687—41no—
571#11745687—41no—
572#11745687—41no—
573#11745687—44no—
574#11745687—44no—
575D4×D59—22no—
576D4×D59—22no—
577D4×D59—22no—
578D4×D59—22no—
579D4×D59—41no—
580D4×D59—41no—
581D4×D59—41no—
582D4×D59—41no—
583D4×D59—41no—
584D4×D59—41no—
585D4×D59—44no—
586D4×D59—44no—
587D4×D59—82no—
588D4×D59—82no—
589D4×D59—82no—
590D4×D59—82no—
591#11745685—22no—
592#11745685—22no—
593#11745685—41no—
594#11745685—41no—
595#11745685—41no—
596#11745685—41no—
597C2×D236—21no—
598C2×D236—21no—
599C2×D236—21no—
600C2×D236C2×D411yescharacteristic
601C2×D236C2×D411yescharacteristic
602C2×D236C2×D411yescharacteristic
603C2×D236C2×D411yescharacteristic
604C2×D236C2×D411yescharacteristic
605C2×D236C2×D411yescharacteristic
606C2×D236C2411yescharacteristic
607C2×D236C2411yescharacteristic
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×D59C2411yescharacteristic
617C2×C4×D59C2411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×Dic118—21no—
621C2×Dic118C2×D411yescharacteristic
622C2×Dic118C2×D411yescharacteristic
623C2×Dic118C2411yescharacteristic
624C2×Dic118C2411yescharacteristic
625SD16×C59—41no—
626SD16×C59—41no—
627SD16×C59—41no—
628SD16×C59—41no—
629D8×C59—41no—
630D8×C59—41no—
631D8×C59—41no—
632D8×C59—41no—
633C2×C8×C59C2411yescharacteristic
634C2×C8×C59C2411yescharacteristic
635C2×C8×C59C2411yescharacteristic
636C2×C8×C59C2411yescharacteristic
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59—21no—
640C4⋊C4×C59—21no—
641C4⋊C4×C59C2411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C42×C59—21no—
649C42×C59C2×D411yescharacteristic
650C42×C59C2×D411yescharacteristic
651C42×C59C2411yescharacteristic
652C42×C59C2411yescharacteristic
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665#11745672—22no—
666#11745671—22no—
667#11745670—22no—
668#11745670—41no—
669#11745670—41no—
670#11745670—41no—
671#11745670—41no—
672#11745669—22no—
673#11745669—41no—
674#11745669—41no—
675#11745669—41no—
676#11745669—41no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698(C2×D59)⋊C4C2×D411yescharacteristic
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59C2×D411yescharacteristic
702C4⋊Dic59C2×D411yescharacteristic
703C4⋊Dic59C2×D411yescharacteristic
704C4⋊Dic59C2×D411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706C4⋊Dic59C2411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709Dic59⋊C4—21no—
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—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729Dic236—22no—
730D472—22no—
731#11745660—22no—
732#11745660—22no—
733#11745659—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—41no—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—21no—
746C23×C59—42no—
747C23×C59—42no—
748C23×C59—81no—
749C23×C59—81no—
750C23×C59—81no—
751C23×C59—81no—
752C23×C59C22×D411yescharacteristic
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59C22×D411yescharacteristic
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—21no—
785D4×C59—21no—
786D4×C59—42no—
787D4×C59—42no—
788D4×C59—42no—
789D4×C59—42no—
790D4×C59—42no—
791D4×C59—42no—
792D4×C59—81no—
793D4×C59—81no—
794D4×C59—81no—
795D4×C59—81no—
796D4×C59—81no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—41no—
803C2×C4×C59—41no—
804C2×C4×C59—81no—
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C2511yescharacteristic
811C22⋊D59—24no—
812C22⋊D59—41no—
813C22⋊D59—41no—
814C22⋊D59—41no—
815C22⋊D59—41no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—42no—
844C2×Dic59—42no—
845C2×Dic59—42no—
846C2×Dic59—42no—
847C2×Dic59—81no—
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850C2×Dic59C22×D411yescharacteristic
851C2×Dic59C22×D411yescharacteristic
852D236—21no—
853D236—21no—
854D236—21no—
855D236—41no—
856D236—41no—
857D236—41no—
858D236—41no—
859D236—41no—
860D236—41no—
861D236—81no—
862D236—81no—
863D236—81no—
864D236H(5,𝔽2)12yes—
865C4×D59—24no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—21no—
870C4×D59—21no—
871C4×D59—21no—
872C4×D59—21no—
873C4×D59—21no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—81no—
877C4×D59—81no—
878C4×D59—81no—
879C4×D59—81no—
880C4×D59—81no—
881Dic118—21no—
882Dic118—21no—
883Dic118—21no—
884Dic118—41no—
885Dic118—41no—
886Dic118—81no—
887Dic118H(5,𝔽2)12yes—
888C8×C59—21no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896#61675—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—162no—
916C22×C59—162no—
917C22×C59C23×D411yescharacteristic
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—21no—
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—21no—
927C2×D59—22no—
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—162no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—21no—
945C4×C59—21no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59C2×H(5,𝔽2)11yescharacteristic
950C4×C59C2×H(5,𝔽2)11yescharacteristic
951Dic59—22no—
952Dic59—21no—
953Dic59—21no—
954Dic59—21no—
955Dic59—21no—
956Dic59—41no—
957Dic59—41no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3551—591no—
962#3498—591no—
963#3318—591no—
964#3318—591no—
965#3317—591no—
966#3317—591no—
967#3310—591no—
968#3310—591no—
969#3309—591no—
970#3309—591no—
971#3271—591no—
972#3271—591no—
973#3268—591no—
974#3268—591no—
975#3265—591no—
976#3265—591no—
977#3264—591no—
978#3264—591no—
979#3217—591no—
980#3217D5911yescharacteristic, complemented
981#3200—591no—
982#3199—591no—
983#3198—591no—
984#3198—591no—
985#3111—591no—
986#3111—591no—
987#3012—591no—
988#3012—591no—
989#3009—591no—
990#3008—591no—
991#2980—591no—
992C2×C59—41no—
993C2×C59—81no—
994C2×C59—81no—
995C2×C59—81no—
996C2×C59—81no—
997C2×C59—81no—
998C2×C59#348411yescharacteristic
999C2×C59#358511yescharacteristic
1000C2×C59#358511yescharacteristic
1001D59—41no—
1002D59—41no—
1003D59—41no—
1004D59—41no—
1005D59—42no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C2×H(5,𝔽2)—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×#135—591no—
1014C2×#135—591no—
1015C22×SD16—591no—
1016C22×D8—591no—
1017#563—1181no—
1018#560—1181no—
1019#555—1181no—
1020#553—591no—
1021#553—591no—
1022#552—591no—
1023#552—591no—
1024#551—1181no—
1025#550—591no—
1026#550—591no—
1027#550—591no—
1028#550—591no—
1029#548—591no—
1030#548—591no—
1031#546—591no—
1032#546—591no—
1033D42—591no—
1034D42—591no—
1035D42—591no—
1036D42—591no—
1037D42—1181no—
1038D42—1181no—
1039D42—1181no—
1040D42—1181no—
1041#540—1181no—
1042#540—1181no—
1043#538—1181no—
1044#538—1181no—
1045#537—591no—
1046#537—591no—
1047#536—591no—
1048#535—591no—
1049#535—591no—
1050#535—591no—
1051#535—1181no—
1052#535—1181no—
1053#532—591no—
1054#532—1181no—
1055C2×#127—1181no—
1056C2×#127C2×D5911yescharacteristic, complemented
1057#529—591no—
1058#529C2×D5911yescharacteristic, complemented
1059C4×#41—591no—
1060#496—591no—
1061#496—591no—
1062#496C2×D5911yescharacteristic, complemented
1063#496C2×D5911yescharacteristic, complemented
1064#490—591no—
1065#490—591no—
1066#490C2×D5911yescharacteristic, complemented
1067#490C2×D5911yescharacteristic, complemented
1068#485—591no—
1069#485—591no—
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#482—591no—
1075#482—591no—
1076#481—591no—
1077#481—591no—
1078#480—591no—
1079#480—591no—
1080#479—591no—
1081#479—591no—
1082#478—591no—
1083#478—591no—
1084#469—591no—
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#468—591no—
1089#468—591no—
1090#468—591no—
1091#468—591no—
1092#466—591no—
1093#466—591no—
1094#466—591no—
1095#466—591no—
1096#465—591no—
1097#465—591no—
1098#465—591no—
1099#465—591no—
1100#464—591no—
1101#464—591no—
1102#463—591no—
1103#463—591no—
1104#460—591no—
1105#460—591no—
1106#460C2×D5911yescharacteristic, complemented
1107#460C2×D5911yescharacteristic, complemented
1108#459—591no—
1109#459—591no—
1110#459C2×D5911yescharacteristic, complemented
1111#459C2×D5911yescharacteristic, complemented
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#452—591no—
1116#452—591no—
1117#452—591no—
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#450—591no—
1123#450—591no—
1124#450C2×D5911yescharacteristic, complemented
1125#450C2×D5911yescharacteristic, complemented
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449—591no—
1135#449—591no—
1136#448—591no—
1137#448—591no—
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447C2×D5911yescharacteristic, complemented
1147#447C2×D5911yescharacteristic, complemented
1148#442—591no—
1149#442—591no—
1150#441—591no—
1151#441—591no—
1152#440—591no—
1153#440—591no—
1154#440—591no—
1155#440—591no—
1156#435—591no—
1157#435—591no—
1158#435—591no—
1159#435—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435—591no—
1164#432—591no—
1165#432C2×D5911yescharacteristic, complemented
1166#418—591no—
1167#418—591no—
1168#417—591no—
1169#417—591no—
1170#416—591no—
1171#416—591no—
1172C2×#102—591no—
1173C2×#102—591no—
1174#408—591no—
1175#408—591no—
1176#408—591no—
1177#408—591no—
1178C59#6167511yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181H(5,𝔽2)—2362no—
1182H(5,𝔽2)—2362no—
1183C2×#41—591no—
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—1181no—
1193C2×#41—1181no—
1194C22×Q8—591no—
1195C22×D4—21no—
1196C22×D4—21no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—591no—
1202C22×D4—1181no—
1203C22×D4—1181no—
1204C22×D4—1181no—
1205C22×D4—1181no—
1206C22×D4—1181no—
1207C22×D4—1181no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C22×D4C22×D5911yescharacteristic
1213C22×D4C22×D5911yescharacteristic
1214#137—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218#135—2362no—
1219#135—2362no—
1220C2×Q16—591no—
1221C2×Q16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16—591no—
1230C2×SD16—2362no—
1231C2×SD16C22×D5911yescharacteristic
1232C2×SD16C22×D5911yescharacteristic
1233C2×SD16C22×D5911yescharacteristic
1234C2×SD16C22×D5911yescharacteristic
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—2362no—
1242C2×D8C22×D5911yescharacteristic
1243C2×D8C22×D5911yescharacteristic
1244C2×D8C22×D5911yescharacteristic
1245C2×D8C22×D5911yescharacteristic
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16—591no—
1250C22×C8—591no—
1251C22×C8—591no—
1252C22×C8—591no—
1253C22×C8—591no—
1254C4⋊Q8—591no—
1255C4⋊Q8—1181no—
1256#127—21no—
1257#127—21no—
1258#127—591no—
1259#127—1181no—
1260#127—1181no—
1261#127—1181no—
1262#127—1181no—
1263#127—1181no—
1264#127—1181no—
1265#127—1181no—
1266#127C22×D5911yescharacteristic
1267#127C22×D5911yescharacteristic
1268#127C22×D5911yescharacteristic
1269#127C22×D5911yescharacteristic
1270#126—21no—
1271#126—1181no—
1272#126—1181no—
1273#126—1181no—
1274#126—1181no—
1275#126—1181no—
1276#125—591no—
1277#125—1181no—
1278#125—1181no—
1279#125C22×D5911yescharacteristic
1280#124—591no—
1281#124—591no—
1282#124—591no—
1283#124—1181no—
1284#124—1181no—
1285#124—1181no—
1286#124—1181no—
1287#124—1181no—
1288#124—1181no—
1289#124C22×D5911yescharacteristic
1290#123—21no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296#123—1181no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300C22⋊Q8—591no—
1301C22⋊Q8—591no—
1302C22⋊Q8—591no—
1303C22⋊Q8—591no—
1304C22⋊Q8—591no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8—1181no—
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—591no—
1311#121—591no—
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—591no—
1325#121—591no—
1326#121—591no—
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#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121C22×D5911yescharacteristic
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—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368C4×Q8—591no—
1369C4×Q8—591no—
1370C4×Q8—591no—
1371C4×Q8C22×D5911yescharacteristic
1372C4×D4—21no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
1379C4×D4—591no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4—1181no—
1388C4×D4—1181no—
1389C4×D4—1181no—
1390C4×D4—1181no—
1391C4×D4C22×D5911yescharacteristic
1392#117—21no—
1393#117—591no—
1394#117—591no—
1395#117—591no—
1396#117—1181no—
1397#117—1181no—
1398#117—1181no—
1399#117—1181no—
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4—591no—
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C42—1181no—
1405C2×C42C22×D5911yescharacteristic
1406#107—591no—
1407#107—591no—
1408#107—591no—
1409#107—591no—
1410#106—591no—
1411#106—591no—
1412#106—591no—
1413#106—591no—
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8C22×D5911yescharacteristic
1417C4⋊C8C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103—591no—
1425#103—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102C22×D5911yescharacteristic
1443#102C22×D5911yescharacteristic
1444#102C22×D5911yescharacteristic
1445#102C22×D5911yescharacteristic
1446#102C22×D5911yescharacteristic
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
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⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97—591no—
1464#97C22×D5911yescharacteristic
1465#97C22×D5911yescharacteristic
1466C24—21no—
1467C24—21no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—1182no—
1474#41—1182no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—2361no—
1480#41—2361no—
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—2361no—
1490#41—2361no—
1491#41—2364no—
1492#41—2364no—
1493C2×Q8—591no—
1494C2×Q8—591no—
1495C2×Q8—591no—
1496C2×Q8—591no—
1497C2×Q8—1181no—
1498C2×Q8—2361no—
1499C2×Q8—2361no—
1500C2×Q8C23×D5911yescharacteristic
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—41no—
1513C2×D4—41no—
1514C2×D4—41no—
1515C2×D4—41no—
1516C2×D4—82no—
1517C2×D4—82no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—591no—
1523C2×D4—591no—
1524C2×D4—591no—
1525C2×D4—591no—
1526C2×D4—591no—
1527C2×D4—591no—
1528C2×D4—591no—
1529C2×D4—591no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1182no—
1539C2×D4—1182no—
1540C2×D4—1182no—
1541C2×D4—1182no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
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—4722no—
1560C2×D4—4722no—
1561C2×D4—4722no—
1562C2×D4—4722no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—2364no—
1570C2×D4—2364no—
1571C2×D4—2364no—
1572C2×D4—2364no—
1573C2×D4—2364no—
1574C2×D4—2364no—
1575C2×D4C23×D5911yescharacteristic
1576C2×D4C23×D5911yescharacteristic
1577C2×D4C23×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—591no—
1582C22×C4—591no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—1181no—
1586C22×C4—1181no—
1587C22×C4—1181no—
1588C22×C4—1181no—
1589C22×C4—1181no—
1590C22×C4—1181no—
1591C22×C4—1181no—
1592C22×C4—1181no—
1593C22×C4—1181no—
1594C22×C4—1181no—
1595C22×C4—1181no—
1596C22×C4—1181no—
1597C22×C4—1181no—
1598C22×C4D4×D5911yescharacteristic
1599C22×C4D4×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601Q16—1182no—
1602Q16—1182no—
1603SD16—41no—
1604SD16—41no—
1605SD16—41no—
1606SD16—41no—
1607SD16—1182no—
1608SD16—1182no—
1609SD16—1182no—
1610SD16—1182no—
1611SD16—2361no—
1612SD16—2361no—
1613SD16—2361no—
1614SD16—2361no—
1615D8—41no—
1616D8—41no—
1617D8—41no—
1618D8—41no—
1619D8—1182no—
1620D8—1182no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—2361no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629C2×C8—591no—
1630C2×C8—591no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—2361no—
1634C2×C8—2361no—
1635C2×C8—2361no—
1636C2×C8—2361no—
1637C2×C8C23×D5911yescharacteristic
1638C2×C8C23×D5911yescharacteristic
1639C2×C8C23×D5911yescharacteristic
1640C2×C8C23×D5911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—21no—
1645C4⋊C4—591no—
1646C4⋊C4—591no—
1647C4⋊C4—591no—
1648C4⋊C4—591no—
1649C4⋊C4—591no—
1650C4⋊C4—591no—
1651C4⋊C4—591no—
1652C4⋊C4—591no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4—1181no—
1663C4⋊C4—1181no—
1664C4⋊C4—1181no—
1665C4⋊C4C23×D5911yescharacteristic
1666C4⋊C4C23×D5911yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—591no—
1673C22⋊C4—591no—
1674C22⋊C4—591no—
1675C22⋊C4—591no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
1678C22⋊C4—591no—
1679C22⋊C4—591no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
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—
1706C42—21no—
1707C42—1181no—
1708C42—1181no—
1709C42—1181no—
1710C42—1181no—
1711C42—1181no—
1712C42—1181no—
1713C42D4×D5911yescharacteristic
1714C42D4×D5911yescharacteristic
1715C42C23×D5911yescharacteristic
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—21no—
1722C23—42no—
1723C23—42no—
1724C23—81no—
1725C23—81no—
1726C23—81no—
1727C23—81no—
1728C23—591no—
1729C23—591no—
1730C23—591no—
1731C23—591no—
1732C23—1181no—
1733C23—1181no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—4721no—
1743C23—4721no—
1744C23—4721no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23—2362no—
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—592no—
1753Q8—1181no—
1754Q8—1181no—
1755Q8—1181no—
1756Q8—4721no—
1757Q8—2361no—
1758Q8—2361no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—42no—
1770D4—42no—
1771D4—42no—
1772D4—42no—
1773D4—42no—
1774D4—42no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—592no—
1781D4—1184no—
1782D4—1181no—
1783D4—1181no—
1784D4—1181no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—4721no—
1799D4—4721no—
1800D4—4721no—
1801D4—2361no—
1802D4—2361no—
1803D4—2361no—
1804D4—2361no—
1805D4—2361no—
1806D4—2361no—
1807D4—2361no—
1808D4—2361no—
1809D4—2361no—
1810D4—2361no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4—2362no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—41no—
1825C2×C4—41no—
1826C2×C4—81no—
1827C2×C4—591no—
1828C2×C4—591no—
1829C2×C4—591no—
1830C2×C4—591no—
1831C2×C4—1184no—
1832C2×C4—1181no—
1833C2×C4—1181no—
1834C2×C4—1181no—
1835C2×C4—1181no—
1836C2×C4—1181no—
1837C2×C4—1181no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—4721no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—4721no—
1850C2×C4—4721no—
1851C2×C4—4721no—
1852C2×C4—2362no—
1853C2×C4—2362no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
1858C2×C4C2×D4×D5911yescharacteristic
1859C2×C4C2×D4×D5911yescharacteristic
1860C2×C4C2×D4×D5911yescharacteristic
1861C2×C4C2×D4×D5911yescharacteristic
1862C2×C4C2×D4×D5911yescharacteristic
1863C2×C4C24×D5911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1181no—
1869C8—1181no—
1870C8—1181no—
1871C8—1181no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—162no—
1891C22—162no—
1892C22—1181no—
1893C22—1182no—
1894C22—1181no—
1895C22—1181no—
1896C22—1181no—
1897C22—1181no—
1898C22—1181no—
1899C22—1181no—
1900C22—1181no—
1901C22—1181no—
1902C22—1181no—
1903C22—1181no—
1904C22—1181no—
1905C22—9442no—
1906C22—9442no—
1907C22—9442no—
1908C22—9442no—
1909C22—9442no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—1181no—
1925C4—1181no—
1926C4—1181no—
1927C4—1181no—
1928C4—1182no—
1929C4—2361no—
1930C4—2361no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4H(5,𝔽2)×D5911yescharacteristic
1936C2—41no—
1937C2—81no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—4721no—
1943C2—2361no—
1944C2—2361no—
1945C2—2361no—
1946C2—2361no—
1947C2—2362no—
1948C2#2143773011yescharacteristic
1949C2#2143887211yescharacteristic
1950C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3217C2
socleC22×C59C23×D4
hypercenter#3217D59
hypocenterC59#61675
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3217

Complements

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

NH ≅ G/Ntype
1. #21438518C2semidirect
2. #21437872C2semidirect
3. #21436244C2semidirect
4. #21436236C2semidirect
5. #21436229C2semidirect
6. #21436221C2semidirect
7. #21436124C2semidirect
8. #21436116C2semidirect
9. #21436109C2semidirect
10. #21436101C2semidirect
11. #21435680C2semidirect
12. #21435676C2semidirect
13. #21435642C2semidirect
14. #21435635C2semidirect
15. #21435590C2semidirect
16. #21435586C2semidirect
17. #21435575C2semidirect
18. #21435571C2semidirect
19. #21435114C2semidirect
20. #21434965C2semidirect
21. #21434959C2semidirect
22. #21434952C2semidirect
23. #21434944C2semidirect
24. #21434207C2semidirect
25. #21434199C2semidirect
26. #21433401C2semidirect
27. #21433395C2semidirect
28. #21433368C2semidirect
29. #21433359C2semidirect
30. #21433166C2semidirect
31. C59×#3217C2semidirect
33. C2×#14273772C22semidirect
34. C2×#14273756C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273748C22semidirect
39. C2×#14273746C22semidirect
40. C2×SD16×D59C22semidirect
41. C2×D8×D59C22semidirect
45. #16838105C22semidirect
46. #16838102C22semidirect
47. #16838093C22semidirect
48. #16838090C22semidirect
52. #16838072C22semidirect
53. #16838072C22semidirect
54. #16838064C22semidirect
55. #16838060C22semidirect
56. #16838047C22semidirect
57. #16838045C22semidirect
60. #16838037C22semidirect
61. #16838037C22semidirect
70. #16837982C22semidirect
71. #16837981C22semidirect
72. #16837975C22semidirect
74. #16837969C22semidirect
75. #16837968C22semidirect
81. #16837936C22semidirect
82. C4×#11745685C22semidirect
83. #16837789C22semidirect
84. #16837789C22semidirect
85. #16837766C22semidirect
86. #16837766C22semidirect
87. #16837744C22semidirect
88. #16837740C22semidirect
89. #16837727C22semidirect
90. #16837725C22semidirect
91. #16837725C22semidirect
92. #16837724C22semidirect
93. #16837724C22semidirect
94. #16837723C22semidirect
95. #16837719C22semidirect
96. #16837719C22semidirect
97. #16837714C22semidirect
98. #16837714C22semidirect
99. #16837710C22semidirect
100. #16837706C22semidirect
101. #16837703C22semidirect
102. #16837699C22semidirect
103. #16837654C22semidirect
104. #16837654C22semidirect
105. #16837652C22semidirect
106. #16837652C22semidirect
107. #16837647C22semidirect
108. #16837647C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837637C22semidirect
112. #16837637C22semidirect
113. #16837635C22semidirect
114. #16837635C22semidirect
115. #16837630C22semidirect
116. #16837630C22semidirect
117. #16837628C22semidirect
118. #16837628C22semidirect
119. #16837625C22semidirect
120. #16837621C22semidirect
121. #16837618C22semidirect
122. #16837614C22semidirect
123. #16837599C22semidirect
124. #16837599C22semidirect
125. #16837594C22semidirect
126. #16837594C22semidirect
127. #16837566C22semidirect
128. #16837565C22semidirect
129. #16837565C22semidirect
130. #16837562C22semidirect
131. #16837561C22semidirect
132. #16837561C22semidirect
133. #16837554C22semidirect
134. #16837554C22semidirect
135. #16837553C22semidirect
136. #16837553C22semidirect
137. #16837551C22semidirect
138. #16837551C22semidirect
140. #16837548C22semidirect
141. #16837548C22semidirect
142. #16837546C22semidirect
143. #16837546C22semidirect
145. #16837544C22semidirect
146. #16837544C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837539C22semidirect
150. #16837539C22semidirect
151. #16837537C22semidirect
152. #16837537C22semidirect
153. #16837536C22semidirect
154. #16837536C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837515C22semidirect
160. #16837512C22semidirect
161. #16837510C22semidirect
162. #16837507C22semidirect
163. #16837504C22semidirect
164. #16837504C22semidirect
165. #16837502C22semidirect
166. #16837500C22semidirect
167. #16837475C22semidirect
168. #16837475C22semidirect
169. #16837475C22semidirect
170. #16837475C22semidirect
171. #16837472C22semidirect
172. #16837472C22semidirect
173. #16837472C22semidirect
174. #16837472C22semidirect
175. #16837459C22semidirect
176. #16837405C22semidirect
177. #16837405C22semidirect
178. #16837400C22semidirect
179. #16837400C22semidirect
180. #16837395C22semidirect
181. #16837395C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #16837367C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C2×#127×C59C22semidirect
189. C59×#529C22semidirect
190. C59×#496C22semidirect
191. C59×#496C22semidirect
192. C59×#490C22semidirect
193. C59×#490C22semidirect
194. C59×#460C22semidirect
195. C59×#460C22semidirect
196. C59×#459C22semidirect
197. C59×#459C22semidirect
198. C59×#450C22semidirect
199. C59×#450C22semidirect
200. C59×#447C22semidirect
201. C59×#447C22semidirect
202. C59×#432C22semidirect
980. #3217D59semidirect
1056. C2×#127C2×D59semidirect
1058. #529C2×D59semidirect
1062. #496C2×D59semidirect
1063. #496C2×D59semidirect
1066. #490C2×D59semidirect
1067. #490C2×D59semidirect
1106. #460C2×D59semidirect
1107. #460C2×D59semidirect
1110. #459C2×D59semidirect
1111. #459C2×D59semidirect
1124. #450C2×D59semidirect
1125. #450C2×D59semidirect
1146. #447C2×D59semidirect
1147. #447C2×D59semidirect
1165. #432C2×D59semidirect
1178. C59#61675semidirect

Maximal subgroups

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

subgroupindex
#214385182
#214378722
#214362442
#214362362
#214362292
#214362212
#214361242
#214361162
#214361092
#214361012
#214356802
#214356762
#214356422
#214356352
#214355902
#214355862
#214355752
#214355712
#214351142
#214349652
#214349592
#214349522
#214349442
#214342072
#214341992
#214334012
#214333952
#214333682
#214333592
#214331662
C59×#32172
#6167559