Finite Group Databasebeta

← #29470644

Subgroups — #29470644

Order 15104.

1888 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437700C211yesmaximal, characteristic
2#21437674C211yesmaximal, characteristic, complemented
3#21437144C211yesmaximal, characteristic, complemented
4#21437001C211yesmaximal, characteristic, complemented
5#21436913C211yesmaximal, characteristic, complemented
6#21436872C211yesmaximal, characteristic, complemented
7#21436585C211yesmaximal, characteristic, complemented
8#21436578C211yesmaximal, characteristic, complemented
9#21436483C211yesmaximal, characteristic, complemented
10#21436274C211yesmaximal, characteristic, complemented
11#21436265C211yesmaximal, characteristic, complemented
12#21436181C211yesmaximal, characteristic, complemented
13#21436174C211yesmaximal, characteristic, complemented
14#21435970C211yesmaximal, characteristic, complemented
15#21435913C211yesmaximal, characteristic, complemented
16#21435790C211yesmaximal, characteristic, complemented
17#21435612C211yesmaximal, characteristic, complemented
18#21435610C211yesmaximal, characteristic, complemented
19#21434811C211yesmaximal, characteristic, complemented
20#21434801C211yesmaximal, characteristic, complemented
21#21434799C211yesmaximal, characteristic, complemented
22#21434269C211yesmaximal, characteristic, complemented
23#21434265C211yesmaximal, characteristic, complemented
24#21434254C211yesmaximal, characteristic, complemented
25#21434216C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433105C211yesmaximal, characteristic, complemented
28#21432918C211yesmaximal, characteristic, complemented
29C2×#16837502C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C59×#3110C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic
33C22×#11745670C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838135C2211yescharacteristic
36#16838132C2211yescharacteristic, complemented
37#16838129—21no—
38#16838127C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic, complemented
40#16838111C2211yescharacteristic
41#16838110C2211yescharacteristic
42#16838110C2211yescharacteristic, complemented
43#16838108—21no—
44#16838107C2211yescharacteristic
45#16838106—21no—
46#16838106—21no—
47#16838102C2211yescharacteristic
48#16838101—21no—
49#16838100C2211yescharacteristic
50#16838081—21no—
51#16838078—21no—
52#16838067C2211yescharacteristic, complemented
53#16838065C2211yescharacteristic
54#16838065C2211yescharacteristic, complemented
55#16838047C2211yescharacteristic
56#16838046C2211yescharacteristic
57#16838042—21no—
58D4×C22⋊D59C2211yescharacteristic
59#16837956—21no—
60#16837956—21no—
61#16837956C2211yescharacteristic, complemented
62#16837956C2211yescharacteristic, complemented
63#16837955—21no—
64#16837949C2211yescharacteristic
65#16837936C2211yescharacteristic
66#16837934C2211yescharacteristic
67#16837932—21no—
68#16837913—21no—
69#16837911—21no—
70C4×#11745685C2211yescharacteristic
71#16837870—21no—
72C4×#11745687C2211yescharacteristic
73C2×C4×Dic118C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C4×Q8×D59C2211yescharacteristic, complemented
76C2×C4×C22⋊D59—21no—
77C4×D4×D59C2211yescharacteristic
78#16837810C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837806C2211yescharacteristic, complemented
81#16837794C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic
84#16837770C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837764C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837751C2211yescharacteristic, complemented
89#16837747C2211yescharacteristic
90#16837745C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837738C2211yescharacteristic, complemented
95#16837736C2211yescharacteristic, complemented
96#16837721C2211yescharacteristic
97#16837719C2211yescharacteristic
98#16837717C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837707C2211yescharacteristic, complemented
104#16837696C2211yescharacteristic, complemented
105#16837696C2211yescharacteristic, complemented
106#16837695C2211yescharacteristic, complemented
107#16837690C2211yescharacteristic
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic
110#16837651C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837644C2211yescharacteristic, complemented
115#16837642C2211yescharacteristic, complemented
116#16837641C2211yescharacteristic, complemented
117#16837641C2211yescharacteristic, complemented
118#16837633C2211yescharacteristic
119#16837633C2211yescharacteristic
120#16837630C2211yescharacteristic
121#16837628C2211yescharacteristic
122#16837625C2211yescharacteristic, complemented
123#16837625C2211yescharacteristic, complemented
124#16837623C2211yescharacteristic, complemented
125#16837622C2211yescharacteristic, complemented
126#16837611C2211yescharacteristic, complemented
127#16837606C2211yescharacteristic, complemented
128#16837605C2211yescharacteristic
129#16837605C2211yescharacteristic
130#16837601C2211yescharacteristic
131#16837600C2211yescharacteristic
132#16837565C2211yescharacteristic
133#16837561C2211yescharacteristic
134#16837560C2211yescharacteristic, complemented
135#16837559C2211yescharacteristic, complemented
136#16837554C2211yescharacteristic
137#16837551C2211yescharacteristic
138#16837543C2211yescharacteristic
139#16837542C2211yescharacteristic, complemented
140#16837539C2211yescharacteristic
141#16837539C2211yescharacteristic, complemented
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837510C2211yescharacteristic, complemented
145#16837510C2211yescharacteristic, complemented
146#16837507C2211yescharacteristic, complemented
147#16837507C2211yescharacteristic, complemented
148#16837505C2211yescharacteristic, complemented
149#16837504C2211yescharacteristic, complemented
150#16837504C2211yescharacteristic, complemented
151#16837503C2211yescharacteristic
152#16837502C2211yescharacteristic
153#16837502C2211yescharacteristic
154#16837502C2211yescharacteristic
155#16837502C2211yescharacteristic
156#16837502C2211yescharacteristic, complemented
157#16837502C2211yescharacteristic, complemented
158#16837502C2211yescharacteristic, complemented
159#16837502C2211yescharacteristic, complemented
160#16837501C2211yescharacteristic, complemented
161#16837500C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic
164#16837496C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166#16837493C2211yescharacteristic
167SD16×Dic59C2211yescharacteristic
168#16837472C2211yescharacteristic, complemented
169#16837472C2211yescharacteristic, complemented
170#16837470C2211yescharacteristic, complemented
171#16837470C2211yescharacteristic, complemented
172(C22⋊D59)⋊C8C2211yescharacteristic
173(C22⋊D59)⋊C8C2211yescharacteristic
174#16837457C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177C2×#14273660C2211yescharacteristic, complemented
178#107×D59C2211yescharacteristic, complemented
179#16837409C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic
181C2×#14273650C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183C2×#14273648C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186C2×#14273638C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#533C2211yescharacteristic, complemented
189C2×C4×D4×C59C2211yescharacteristic
190C59×#484C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#474C2211yescharacteristic
193C59×#474C2211yescharacteristic, complemented
194C59×#461C2211yescharacteristic
195C59×#461C2211yescharacteristic, complemented
196C59×#450C2211yescharacteristic
197C59×#450C2211yescharacteristic
198C59×#440C2211yescharacteristic
199C59×#440C2211yescharacteristic
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C59×#432C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C2×Q8×D59C2311yescharacteristic
209C22×C22⋊D59—21no—
210C2×D4×D59C2311yescharacteristic
211C22×C4×D59—21no—
212#14273756—24no—
213C2×Dic236C2311yescharacteristic
214C2×Dic236C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670—24no—
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745670C2311yescharacteristic
224C2×#11745671C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226SD16×D59—24no—
227C2×#11745659C2311yescharacteristic
228C2×#11745659C2311yescharacteristic
229C22×C59⋊C8C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C2×C8×D59C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233#14273726—21no—
234#14273726—21no—
235#14273726—21no—
236#14273726—21no—
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273726C2311yescharacteristic
240#14273725—21no—
241#14273725—21no—
242#14273725C2311yescharacteristic
243#14273725C2311yescharacteristic
244#14273723C2311yescharacteristic
245#14273722—21no—
246#14273721—21no—
247#14273720—21no—
248#14273720—21no—
249#14273719C2311yescharacteristic
250#14273718—21no—
251#14273718—21no—
252#14273718C2311yescharacteristic
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273717—21no—
260#14273715C2311yescharacteristic
261#14273714C2311yescharacteristic
262#14273713—21no—
263#14273713—21no—
264#14273712—21no—
265#14273711—21no—
266#14273710—21no—
267#14273710—21no—
268#14273710—21no—
269#14273709—21no—
270#14273709—21no—
271#14273708—21no—
272#14273707—21no—
273#14273707—21no—
274#14273707C2311yescharacteristic
275#14273707C2311yescharacteristic
276#14273707C2311yescharacteristic
277#14273706—21no—
278#14273706—21no—
279#14273706C2311yescharacteristic
280#14273705—21no—
281#14273705—21no—
282#14273705—21no—
283#14273705—21no—
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273704—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273703—21no—
294#14273703—21no—
295#14273703C2311yescharacteristic
296#14273703C2311yescharacteristic
297#14273702C2311yescharacteristic
298#14273701—21no—
299#14273701—21no—
300#14273701C2311yescharacteristic
301#14273700—21no—
302#14273700—21no—
303#14273699—21no—
304#14273699—21no—
305#14273698C2311yescharacteristic
306#14273698C2311yescharacteristic
307#14273697—21no—
308#14273696—21no—
309#14273696—21no—
310#14273695—21no—
311Q8×Dic59C2311yescharacteristic
312Q8×Dic59C2311yescharacteristic
313C4×Dic118—21no—
314C4×Dic118—21no—
315C4×Dic118—21no—
316C4×Dic118—21no—
317C4×Dic118—21no—
318C4×Dic118—21no—
319C4×Dic118D411yescharacteristic
320C4×Dic118C2311yescharacteristic
321C4×Dic118C2311yescharacteristic
322C4×Dic118C2311yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326#14273692—21no—
327#14273692—21no—
328#14273692—21no—
329#14273692—21no—
330#14273692C2311yescharacteristic
331#14273692C2311yescharacteristic
332#14273692C2311yescharacteristic
333C4×D236D411yescharacteristic
334C4×D236C2311yescharacteristic
335C4×D236C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338#14273689—21no—
339#14273689—21no—
340#14273689C2311yescharacteristic
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
344C4×C22⋊D59—21no—
345C4×C22⋊D59—21no—
346C4×C22⋊D59—21no—
347C4×C22⋊D59—21no—
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59D411yescharacteristic
351C4×C22⋊D59D411yescharacteristic
352C4×C22⋊D59C2311yescharacteristic
353C4×C22⋊D59C2311yescharacteristic
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360#14273686—21no—
361#14273686D411yescharacteristic
362#14273685C2311yescharacteristic
363#14273684—21no—
364#14273684—21no—
365#14273684—21no—
366#14273684D411yescharacteristic
367#14273684D411yescharacteristic
368#14273683—21no—
369C2×C4⋊Dic59C2311yescharacteristic
370C2×Dic59⋊C4—21no—
371C2×Dic59⋊C4—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C2×C22⋊Dic59—21no—
378C2×(C2×D59)⋊C4—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59—21no—
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273660C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
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#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C4⋊Q8×C59C2311yescharacteristic
445C4⋊Q8×C59C2311yescharacteristic
446#125×C59—21no—
447C22⋊Q8×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450C4×Q8×C59—21no—
451C4×Q8×C59C2311yescharacteristic
452C4×Q8×C59C2311yescharacteristic
453C4×D4×C59—21no—
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59—21no—
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C22⋊C4×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×Q8×C59C2411yescharacteristic
486C2×D4×C59—22no—
487C2×D4×C59—21no—
488C2×D4×C59—41no—
489C2×D4×C59C2411yescharacteristic
490C2×D4×C59C2411yescharacteristic
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—82no—
497C22×C4×C59C2×D411yescharacteristic
498C22×C4×C59C2×D411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—44no—
508C2×C22⋊D59C2×D411yescharacteristic
509C2×C22⋊D59C2×D411yescharacteristic
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515Q8×D59—22no—
516Q8×D59—22no—
517Q8×D59—41no—
518Q8×D59—41no—
519#11745687—22no—
520#11745687—41no—
521D4×D59—22no—
522D4×D59—41no—
523#11745685—24no—
524#11745685—82no—
525C2×D236—21no—
526C2×D236C2×D411yescharacteristic
527C2×D236C2411yescharacteristic
528C2×C4×D59—21no—
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—82no—
536C2×C4×D59C2×D411yescharacteristic
537C2×C4×D59C2×D411yescharacteristic
538C2×C4×D59C2×D411yescharacteristic
539C2×C4×D59C2×D411yescharacteristic
540C2×C4×D59C2411yescharacteristic
541C2×C4×D59C2411yescharacteristic
542C2×Dic118—22no—
543C2×Dic118—21no—
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—41no—
550C2×Dic118C2×D411yescharacteristic
551C2×Dic118C2411yescharacteristic
552C2×Dic118C2411yescharacteristic
553C2×Dic118C2411yescharacteristic
554SD16×C59—22no—
555SD16×C59—22no—
556SD16×C59—41no—
557SD16×C59—41no—
558C2×C8×C59C2411yescharacteristic
559C2×C8×C59C2411yescharacteristic
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
569C4⋊C4×C59—21no—
570C4⋊C4×C59C2411yescharacteristic
571C4⋊C4×C59C2411yescharacteristic
572C4⋊C4×C59C2411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C22⋊C4×C59—21no—
575C22⋊C4×C59—21no—
576C22⋊C4×C59—21no—
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C42×C59—21no—
581C42×C59—21no—
582C42×C59C2×D411yescharacteristic
583C42×C59C2×D411yescharacteristic
584C42×C59C2411yescharacteristic
585C42×C59C2411yescharacteristic
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59C2×D411yescharacteristic
594C22⋊Dic59C2×D411yescharacteristic
595#11745672—22no—
596#11745672—41no—
597#11745671—22no—
598#11745671—41no—
599#11745670—22no—
600#11745670—22no—
601#11745670—22no—
602#11745670#4114yescomplemented
603(C2×D59)⋊C4—21no—
604(C2×D59)⋊C4—21no—
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4C2×D411yescharacteristic
616(C2×D59)⋊C4C2×D411yescharacteristic
617(C2×D59)⋊C4C2×D411yescharacteristic
618(C2×D59)⋊C4C2×D411yescharacteristic
619C4⋊Dic59—21no—
620C4⋊Dic59—21no—
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59C2×D411yescharacteristic
627C4⋊Dic59C2×D411yescharacteristic
628C4⋊Dic59C2411yescharacteristic
629C4⋊Dic59C2411yescharacteristic
630C4⋊Dic59C2411yescharacteristic
631C4⋊Dic59C2411yescharacteristic
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2411yescharacteristic
676C4×Dic59C2411yescharacteristic
677C2×C59⋊C8—22no—
678C2×C59⋊C8—41no—
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683Dic236—22no—
684Dic236—41no—
685#11745660—22no—
686#11745660—41no—
687#11745659—22no—
688#11745659—41no—
689C8×D59—22no—
690C8×D59—41no—
691C23×C59—21no—
692C23×C59—21no—
693C23×C59—42no—
694C23×C59—42no—
695C23×C59—81no—
696C23×C59C22×D411yescharacteristic
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—81no—
701C22×D59C22×D411yescharacteristic
702C22×D59C22×D411yescharacteristic
703Q8×C59—21no—
704Q8×C59—21no—
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—81no—
708D4×C59—21no—
709D4×C59—21no—
710D4×C59—21no—
711D4×C59—42no—
712D4×C59C2×#4112yes—
713C2×C4×C59—22no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—41no—
723C2×C4×C59—42no—
724C2×C4×C59—42no—
725C2×C4×C59—81no—
726C2×C4×C59—81no—
727C2×C4×C59—81no—
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C2511yescharacteristic
734C22⋊D59—22no—
735C22⋊D59—42no—
736C22⋊D59—42no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—81no—
741C22⋊D59—81no—
742C22⋊D59#13714yescomplemented
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—42no—
751C2×Dic59—42no—
752C2×Dic59—42no—
753C2×Dic59—81no—
754C2×Dic59—81no—
755C2×Dic59C22×D411yescharacteristic
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760C2×Dic59C22×D411yescharacteristic
761D236—22no—
762D236—21no—
763D236—21no—
764D236—81no—
765C4×D59—22no—
766C4×D59—21no—
767C4×D59—21no—
768C4×D59—21no—
769C4×D59—21no—
770C4×D59—22no—
771C4×D59—41no—
772C4×D59—41no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—81no—
777C4×D59—81no—
778C4×D59—81no—
779C4×D59—81no—
780Dic118—21no—
781Dic118—22no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—21no—
786Dic118—42no—
787Dic118—42no—
788Dic118—42no—
789Dic118—81no—
790Dic118—81no—
791Dic118—81no—
792Dic118C2×#4112yes—
793C8×C59—21no—
794C8×C59—21no—
795C8×C59—21no—
796C8×C59—21no—
797C59⋊C8—21no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8C2×#4112yes—
801#61453—591nomaximal, Sylow
802C22×C59—21no—
803C22×C59—21no—
804C22×C59—22no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—84no—
811C22×C59C2×#13712yes—
812C22×C59C23×D411yescharacteristic
813C2×D59—21no—
814C2×D59—21no—
815C2×D59—21no—
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—84no—
822C2×D59C2×#13712yes—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—21no—
826C4×C59—21no—
827C4×C59—21no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59C22×#4111yescharacteristic
835C4×C59#58511yescharacteristic
836Dic59—21no—
837Dic59—21no—
838Dic59—22no—
839Dic59—21no—
840Dic59—21no—
841Dic59—21no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59C2×#13712yes—
849#3481—591no—
850Q8×#41—591no—
851#3400—591no—
852#3385—591no—
853#3375—591no—
854#3372—591no—
855#3346—591no—
856#3346—591no—
857#3338—591no—
858#3320—591no—
859#3320—591no—
860#3314—591no—
861#3314—591no—
862#3299—591no—
863#3295—591no—
864D4×SD16—591no—
865#3266—591no—
866#3266—591no—
867#3182—591no—
868#3181—591no—
869#3181—591no—
870#3117—591no—
871#3117—591no—
872#3116—591no—
873#3112—591no—
874#3110—591no—
875#3110D5911yescharacteristic, complemented
876#2970—591no—
877C4×#137—591no—
878C2×#440—591no—
879C2×#440—591no—
880C2×C59—22no—
881C2×C59—42no—
882C2×C59—81no—
883C2×C59D4×#4111yescharacteristic
884C2×C59C22×#13711yescharacteristic
885C2×C59#358511yescharacteristic
886D59—22no—
887D59—41no—
888D59—81no—
889C2×#137—591no—
890C22×SD16—591no—
891C22×SD16—591no—
892#559—591no—
893Q82—591no—
894#557—591no—
895#557—1181no—
896#554—591no—
897#554—591no—
898#554—591no—
899#554—591no—
900#554—591no—
901#554—1181no—
902#554—1181no—
903#554—1181no—
904#553—591no—
905#553—591no—
906#553—1181no—
907#551—1181no—
908#551—1181no—
909D4×Q8—591no—
910D4×Q8—591no—
911D4×Q8—591no—
912#546—591no—
913#546—591no—
914#546—1181no—
915D42—591no—
916#533—591no—
917#533—591no—
918#533—1181no—
919#533—1181no—
920#533—1181no—
921#533C2×D5911yescharacteristic, complemented
922#532—591no—
923#529—591no—
924#529—591no—
925#529—1181no—
926#525—1181no—
927#525—1181no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41—1181no—
931C2×C4×Q8—591no—
932C2×C4×Q8—591no—
933C2×C4×Q8—591no—
934C2×C4×D4—591no—
935C2×C4×D4—1181no—
936C2×C4×D4C2×D5911yescharacteristic
937#501—591no—
938#501—591no—
939#500—591no—
940#497—591no—
941#497—591no—
942#492—591no—
943#491—591no—
944#491—591no—
945#489—591no—
946#489—591no—
947#487—591no—
948#486—591no—
949#485—591no—
950#485—591no—
951#484—591no—
952#484—591no—
953#484—591no—
954#484—591no—
955#484C2×D5911yescharacteristic, complemented
956#484C2×D5911yescharacteristic, complemented
957#481—591no—
958#481—591no—
959#480—591no—
960#480—591no—
961#479—591no—
962#479—591no—
963#479—591no—
964#479—591no—
965#477—591no—
966#477—591no—
967#477—591no—
968#476—591no—
969#474—591no—
970#474—591no—
971#474C2×D5911yescharacteristic
972#474C2×D5911yescharacteristic, complemented
973#468—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#467—591no—
978#467—591no—
979#467—591no—
980#467—591no—
981#465—591no—
982#465—591no—
983#465—591no—
984#465—591no—
985#464—591no—
986#464—591no—
987#464—591no—
988#464—591no—
989#462—591no—
990#461—591no—
991#461—591no—
992#461—591no—
993#461C2×D5911yescharacteristic
994#461C2×D5911yescharacteristic, complemented
995#460—591no—
996#460—591no—
997#452—591no—
998#452—591no—
999#451—591no—
1000#451—591no—
1001#450—591no—
1002#450—591no—
1003#450C2×D5911yescharacteristic
1004#450C2×D5911yescharacteristic
1005#448—591no—
1006#448—591no—
1007#448—591no—
1008#448—591no—
1009#446—591no—
1010#446—591no—
1011#441—591no—
1012#441—591no—
1013#441—591no—
1014#441—591no—
1015#440—591no—
1016#440—591no—
1017#440—591no—
1018#440—591no—
1019#440—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024#440—591no—
1025#440—591no—
1026#440—591no—
1027#440—591no—
1028#440—591no—
1029#440—591no—
1030#440—591no—
1031#440C2×D5911yescharacteristic
1032#440C2×D5911yescharacteristic
1033#440C2×D5911yescharacteristic, complemented
1034#440C2×D5911yescharacteristic, complemented
1035C4×Q16—591no—
1036C4×Q16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435—591no—
1043C8×D4—591no—
1044C8×D4—591no—
1045#432—591no—
1046#432—591no—
1047#432C2×D5911yescharacteristic, complemented
1048#428—591no—
1049C2×#107—591no—
1050C2×#107—591no—
1051#419—591no—
1052#417—591no—
1053C2×#103—591no—
1054C2×#103—591no—
1055C2×#102—591no—
1056C2×#102—591no—
1057C4×M16—591no—
1058C2×#97—591no—
1059C2×#97—591no—
1060C59#6145311yescharacteristic, complemented, Sylow
1061C2×#41—591no—
1062C2×#41—591no—
1063C2×#41—1181no—
1064C22×Q8—591no—
1065C22×Q8—591no—
1066C22×Q8—591no—
1067C22×D4—591no—
1068C22×D4—1181no—
1069C22×D4C22×D5911yescharacteristic
1070C23×C4—21no—
1071C23×C4—1181no—
1072#137—1184no—
1073C2×Q16—591no—
1074C2×Q16—591no—
1075C2×Q16—591no—
1076C2×Q16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×SD16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—1184no—
1086C2×SD16—1184no—
1087C2×SD16C22×D5911yescharacteristic
1088C2×SD16C22×D5911yescharacteristic
1089C2×SD16C22×D5911yescharacteristic
1090C2×SD16C22×D5911yescharacteristic
1091C2×M16—591no—
1092C2×M16—591no—
1093C22×C8—591no—
1094C22×C8—591no—
1095C22×C8—591no—
1096C22×C8—591no—
1097C4⋊Q8—591no—
1098C4⋊Q8—591no—
1099C4⋊Q8—591no—
1100C4⋊Q8—591no—
1101C4⋊Q8—591no—
1102C4⋊Q8—1181no—
1103C4⋊Q8—1181no—
1104C4⋊Q8—1181no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108C4⋊Q8C22×D5911yescharacteristic
1109C4⋊Q8C22×D5911yescharacteristic
1110#127—591no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#125—21no—
1116#125—591no—
1117#125—591no—
1118#125—1181no—
1119#125—1181no—
1120#125—1181no—
1121#125—1181no—
1122#125—1181no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#124—591no—
1128#124—591no—
1129#124—1181no—
1130#124—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139C22⋊Q8—21no—
1140C22⋊Q8—591no—
1141C22⋊Q8—591no—
1142C22⋊Q8—591no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—1181no—
1147C22⋊Q8—1181no—
1148C22⋊Q8—1181no—
1149C22⋊Q8—1181no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8C22×D5911yescharacteristic
1166C22⋊Q8C22×D5911yescharacteristic
1167#121—591no—
1168#121—591no—
1169#121—591no—
1170#121—591no—
1171#121—1181no—
1172#121—1181no—
1173#121—1181no—
1174#121—1181no—
1175#121—1181no—
1176#121—1181no—
1177#120—1181no—
1178#120—1181no—
1179#120—1181no—
1180#120—1181no—
1181C4×Q8—21no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—591no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—1181no—
1195C4×Q8—1181no—
1196C4×Q8—1181no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8—1181no—
1202C4×Q8—1181no—
1203C4×Q8—1181no—
1204C4×Q8C22×D5911yescharacteristic
1205C4×Q8C22×D5911yescharacteristic
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—591no—
1209C4×D4—591no—
1210C4×D4—591no—
1211C4×D4—591no—
1212C4×D4—591no—
1213C4×D4—591no—
1214C4×D4—591no—
1215C4×D4—591no—
1216C4×D4—591no—
1217C4×D4—591no—
1218C4×D4—1181no—
1219C4×D4—1181no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4—1181no—
1228C4×D4—1181no—
1229C4×D4—1181no—
1230C4×D4—1181no—
1231C4×D4—1181no—
1232C4×D4—1181no—
1233C4×D4—1181no—
1234C4×D4—1181no—
1235C4×D4C22×D5911yescharacteristic
1236C4×D4C22×D5911yescharacteristic
1237C4×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239#117—21no—
1240#117—591no—
1241#117—591no—
1242#117—591no—
1243#117—591no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249C2×C4⋊C4—591no—
1250C2×C4⋊C4—591no—
1251C2×C4⋊C4—591no—
1252C2×C4⋊C4—591no—
1253C2×C4⋊C4—1181no—
1254C2×C4⋊C4—1181no—
1255C2×C4⋊C4—1181no—
1256C2×C4⋊C4—1181no—
1257C2×C4⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—1181no—
1260C2×C22⋊C4—1181no—
1261C2×C22⋊C4—1181no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42—1181no—
1265C2×C42—1181no—
1266C2×C42—1181no—
1267C2×C42—1181no—
1268C2×C42C22×D5911yescharacteristic
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107C22×D5911yescharacteristic
1278#107C22×D5911yescharacteristic
1279#107C22×D5911yescharacteristic
1280#107C22×D5911yescharacteristic
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288C4⋊C8—591no—
1289C4⋊C8C22×D5911yescharacteristic
1290C4⋊C8C22×D5911yescharacteristic
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103C22×D5911yescharacteristic
1308#103C22×D5911yescharacteristic
1309#103C22×D5911yescharacteristic
1310#103C22×D5911yescharacteristic
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102C22×D5911yescharacteristic
1320#102C22×D5911yescharacteristic
1321#102C22×D5911yescharacteristic
1322#102C22×D5911yescharacteristic
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8—591no—
1326C22⋊C8—591no—
1327C22⋊C8C22×D5911yescharacteristic
1328C22⋊C8C22×D5911yescharacteristic
1329#97—591no—
1330#97—591no—
1331#97—591no—
1332#97—591no—
1333#97—591no—
1334#97—591no—
1335#97C22×D5911yescharacteristic
1336#97C22×D5911yescharacteristic
1337C4×C8—591no—
1338C4×C8—591no—
1339C24—21no—
1340C24—1181no—
1341#41—1184no—
1342#41—1182no—
1343#41—4722no—
1344#41—2361no—
1345C2×Q8—21no—
1346C2×Q8—591no—
1347C2×Q8—591no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—1181no—
1351C2×Q8—1181no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8—1181no—
1355C2×Q8—1182no—
1356C2×Q8—1181no—
1357C2×Q8—1182no—
1358C2×Q8—1182no—
1359C2×Q8—2361no—
1360C2×Q8—2361no—
1361C2×Q8—2361no—
1362C2×Q8C23×D5911yescharacteristic
1363C2×Q8C23×D5911yescharacteristic
1364C2×D4—22no—
1365C2×D4—21no—
1366C2×D4—41no—
1367C2×D4—591no—
1368C2×D4—591no—
1369C2×D4—591no—
1370C2×D4—591no—
1371C2×D4—1181no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4—1181no—
1375C2×D4—1182no—
1376C2×D4—1181no—
1377C2×D4—1181no—
1378C2×D4—1181no—
1379C2×D4—1181no—
1380C2×D4—2361no—
1381C2×D4—2364no—
1382C2×D4C23×D5911yescharacteristic
1383C2×D4C23×D5911yescharacteristic
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—21no—
1389C22×C4—82no—
1390C22×C4—591no—
1391C22×C4—591no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—1181no—
1402C22×C4—1181no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—4722no—
1409C22×C4D4×D5911yescharacteristic
1410C22×C4D4×D5911yescharacteristic
1411C22×C4C23×D5911yescharacteristic
1412Q16—1182no—
1413Q16—1182no—
1414Q16—2361no—
1415Q16—2361no—
1416SD16—22no—
1417SD16—22no—
1418SD16—41no—
1419SD16—41no—
1420SD16—594no—
1421SD16—1182no—
1422SD16—1182no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—2361no—
1427SD16—2361no—
1428M16—1182no—
1429M16—2361no—
1430C2×C8—591no—
1431C2×C8—591no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—1182no—
1435C2×C8—1182no—
1436C2×C8—2361no—
1437C2×C8—2361no—
1438C2×C8C23×D5911yescharacteristic
1439C2×C8C23×D5911yescharacteristic
1440C2×C8C23×D5911yescharacteristic
1441C2×C8C23×D5911yescharacteristic
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—591no—
1451C4⋊C4—591no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—591no—
1457C4⋊C4—591no—
1458C4⋊C4—591no—
1459C4⋊C4—591no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
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⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—591no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—591no—
1506C22⋊C4—591no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
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—
1526C42—21no—
1527C42—21no—
1528C42—591no—
1529C42—591no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—1181no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42D4×D5911yescharacteristic
1546C42D4×D5911yescharacteristic
1547C42C23×D5911yescharacteristic
1548C42C23×D5911yescharacteristic
1549C23—21no—
1550C23—21no—
1551C23—42no—
1552C23—42no—
1553C23—81no—
1554C23—591no—
1555C23—591no—
1556C23—1181no—
1557C23—4721no—
1558C23—2362no—
1559C23—2362no—
1560C23C2×D4×D5911yescharacteristic
1561Q8—21no—
1562Q8—21no—
1563Q8—21no—
1564Q8—21no—
1565Q8—81no—
1566Q8—592no—
1567Q8—1182no—
1568Q8—1181no—
1569Q8—1181no—
1570Q8—1181no—
1571Q8—1181no—
1572Q8—1181no—
1573Q8—4721no—
1574Q8—4721no—
1575Q8—4721no—
1576Q8—2362no—
1577Q8—2362no—
1578Q8—2362no—
1579D4—21no—
1580D4—21no—
1581D4—21no—
1582D4—42no—
1583D4—594no—
1584D4—1182no—
1585D4—1182no—
1586D4—1181no—
1587D4—1181no—
1588D4—4721no—
1589D4—4721no—
1590D4—4721no—
1591D4—2362no—
1592D4—2362no—
1593D4—2362no—
1594D4—2362no—
1595D4—2362no—
1596D4#41×D5912yes—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—41no—
1607C2×C4—42no—
1608C2×C4—42no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—591no—
1613C2×C4—591no—
1614C2×C4—591no—
1615C2×C4—591no—
1616C2×C4—591no—
1617C2×C4—591no—
1618C2×C4—1182no—
1619C2×C4—1182no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—4721no—
1632C2×C4—4721no—
1633C2×C4—4721no—
1634C2×C4—4721no—
1635C2×C4—4721no—
1636C2×C4—4721no—
1637C2×C4—2361no—
1638C2×C4—2361no—
1639C2×C4—2362no—
1640C2×C4—2362no—
1641C2×C4—2362no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4C2×D4×D5911yescharacteristic
1646C2×C4C2×D4×D5911yescharacteristic
1647C2×C4C2×D4×D5911yescharacteristic
1648C2×C4C2×D4×D5911yescharacteristic
1649C2×C4C2×D4×D5911yescharacteristic
1650C2×C4C24×D5911yescharacteristic
1651C8—21no—
1652C8—21no—
1653C8—21no—
1654C8—21no—
1655C8—592no—
1656C8—1181no—
1657C8—1181no—
1658C8—1181no—
1659C22—21no—
1660C22—21no—
1661C22—22no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—84no—
1668C22—592no—
1669C22—1181no—
1670C22—1181no—
1671C22—1181no—
1672C22—1181no—
1673C22—1181no—
1674C22—4724no—
1675C22—2361no—
1676C22—2361no—
1677C22—2361no—
1678C22#137×D5912yes—
1679C22C22×D4×D5911yescharacteristic
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—21no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—592no—
1692C4—1181no—
1693C4—1181no—
1694C4—1181no—
1695C4—1182no—
1696C4—1181no—
1697C4—1181no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4C2×#41×D5911yescharacteristic
1705C4#1683823811yescharacteristic
1706C2—22no—
1707C2—42no—
1708C2—81no—
1709C2—1182no—
1710C2—4721no—
1711C2—2361no—
1712C2#2143757911yescharacteristic
1713C2C2×#137×D5911yescharacteristic
1714C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3110C2
socleC22×C59C23×D4
prime radical#21437700C2
hypercenter#3110D59
hypocenterC59#61453
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3110

Complements

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

NH ≅ G/Ntype
2. #21437674C2semidirect
3. #21437144C2semidirect
4. #21437001C2semidirect
5. #21436913C2semidirect
6. #21436872C2semidirect
7. #21436585C2semidirect
8. #21436578C2semidirect
9. #21436483C2semidirect
10. #21436274C2semidirect
11. #21436265C2semidirect
12. #21436181C2semidirect
13. #21436174C2semidirect
14. #21435970C2semidirect
15. #21435913C2semidirect
16. #21435790C2semidirect
17. #21435612C2semidirect
18. #21435610C2semidirect
19. #21434811C2semidirect
20. #21434801C2semidirect
21. #21434799C2semidirect
22. #21434269C2semidirect
23. #21434265C2semidirect
24. #21434254C2semidirect
25. #21434216C2semidirect
26. #21434193C2semidirect
27. #21433105C2semidirect
28. #21432918C2semidirect
29. C2×#16837502C2semidirect
30. #440×D59C2semidirect
31. C59×#3110C2semidirect
36. #16838132C22semidirect
38. #16838127C22semidirect
39. #16838113C22semidirect
42. #16838110C22semidirect
52. #16838067C22semidirect
54. #16838065C22semidirect
61. #16837956C22semidirect
62. #16837956C22semidirect
73. C2×C4×Dic118C22semidirect
74. C4×Q8×D59C22semidirect
75. C4×Q8×D59C22semidirect
78. #16837810C22semidirect
79. #16837808C22semidirect
80. #16837806C22semidirect
81. #16837794C22semidirect
82. #16837793C22semidirect
84. #16837770C22semidirect
85. #16837769C22semidirect
86. #16837764C22semidirect
87. #16837760C22semidirect
88. #16837751C22semidirect
90. #16837745C22semidirect
91. #16837741C22semidirect
92. #16837739C22semidirect
93. #16837739C22semidirect
94. #16837738C22semidirect
95. #16837736C22semidirect
98. #16837717C22semidirect
99. #16837714C22semidirect
100. #16837710C22semidirect
101. #16837710C22semidirect
102. #16837708C22semidirect
103. #16837707C22semidirect
104. #16837696C22semidirect
105. #16837696C22semidirect
106. #16837695C22semidirect
108. #16837681C22semidirect
110. #16837651C22semidirect
111. #16837649C22semidirect
112. #16837647C22semidirect
113. #16837645C22semidirect
114. #16837644C22semidirect
115. #16837642C22semidirect
116. #16837641C22semidirect
117. #16837641C22semidirect
122. #16837625C22semidirect
123. #16837625C22semidirect
124. #16837623C22semidirect
125. #16837622C22semidirect
126. #16837611C22semidirect
127. #16837606C22semidirect
134. #16837560C22semidirect
135. #16837559C22semidirect
139. #16837542C22semidirect
141. #16837539C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
144. #16837510C22semidirect
145. #16837510C22semidirect
146. #16837507C22semidirect
147. #16837507C22semidirect
148. #16837505C22semidirect
149. #16837504C22semidirect
150. #16837504C22semidirect
156. #16837502C22semidirect
157. #16837502C22semidirect
158. #16837502C22semidirect
159. #16837502C22semidirect
160. #16837501C22semidirect
161. #16837500C22semidirect
162. #16837500C22semidirect
164. #16837496C22semidirect
165. #16837494C22semidirect
168. #16837472C22semidirect
169. #16837472C22semidirect
170. #16837470C22semidirect
171. #16837470C22semidirect
174. #16837457C22semidirect
175. #16837457C22semidirect
176. #16837443C22semidirect
177. C2×#14273660C22semidirect
178. #107×D59C22semidirect
179. #16837409C22semidirect
181. C2×#14273650C22semidirect
182. #103×D59C22semidirect
185. #16837354C22semidirect
186. C2×#14273638C22semidirect
187. #97×D59C22semidirect
188. C59×#533C22semidirect
190. C59×#484C22semidirect
191. C59×#484C22semidirect
193. C59×#474C22semidirect
195. C59×#461C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C59×#432C22semidirect
602. #11745670#41semidirect
742. C22⋊D59#137semidirect
875. #3110D59semidirect
921. #533C2×D59semidirect
955. #484C2×D59semidirect
956. #484C2×D59semidirect
972. #474C2×D59semidirect
994. #461C2×D59semidirect
1033. #440C2×D59semidirect
1034. #440C2×D59semidirect
1047. #432C2×D59semidirect
1060. C59#61453semidirect

Maximal subgroups

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

subgroupindex
#214377002
#214376742
#214371442
#214370012
#214369132
#214368722
#214365852
#214365782
#214364832
#214362742
#214362652
#214361812
#214361742
#214359702
#214359132
#214357902
#214356122
#214356102
#214348112
#214348012
#214347992
#214342692
#214342652
#214342542
#214342162
#214341932
#214331052
#214329182
C2×#168375022
#440×D592
C59×#31102
#6145359