Finite Group Databasebeta

← #29470650

Subgroups — #29470650

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
2Q8×#11745685C211yesmaximal, characteristic, complemented
3#21437150C211yesmaximal, characteristic, complemented
4#21437007C211yesmaximal, characteristic, complemented
5#21436911C211yesmaximal, characteristic, complemented
6#21436878C211yesmaximal, characteristic, complemented
7#21436586C211yesmaximal, characteristic, complemented
8#21436577C211yesmaximal, characteristic, complemented
9#21436486C211yesmaximal, characteristic, complemented
10#21436272C211yesmaximal, characteristic, complemented
11#21436263C211yesmaximal, characteristic, complemented
12#21436182C211yesmaximal, characteristic, complemented
13#21436173C211yesmaximal, characteristic, complemented
14#21435968C211yesmaximal, characteristic, complemented
15#21435916C211yesmaximal, characteristic, complemented
16SD16×C22⋊D59C211yesmaximal, characteristic, complemented
17#21435608C211yesmaximal, characteristic, complemented
18#21435606C211yesmaximal, characteristic, complemented
19#21434811C211yesmaximal, characteristic, complemented
20#21434805C211yesmaximal, characteristic, complemented
21#21434801C211yesmaximal, characteristic, complemented
22#21434267C211yesmaximal, characteristic, complemented
23#21434265C211yesmaximal, characteristic, complemented
24#21434254C211yesmaximal, characteristic, complemented
25#21434216C211yesmaximal, characteristic, complemented
26#21434195C211yesmaximal, characteristic, complemented
27#21434193C211yesmaximal, characteristic, complemented
28#21433107C211yesmaximal, characteristic, complemented
29#21432918C211yesmaximal, characteristic, complemented
30#440×D59C211yesmaximal, characteristic, complemented
31C2×C59×#440C211yesmaximal, characteristic, complemented
32C2×#14273756C2211yescharacteristic
33C2×SD16×D59C2211yescharacteristic
34#16838135C2211yescharacteristic
35Q8×Dic118C2211yescharacteristic, complemented
36#16838130—21no—
37#16838130C2211yescharacteristic, complemented
38#16838112—21no—
39#16838112C2211yescharacteristic, complemented
40#16838111C2211yescharacteristic
41#16838107—21no—
42#16838107—21no—
43#16838107C2211yescharacteristic
44#16838107C2211yescharacteristic
45#16838107C2211yescharacteristic, complemented
46#16838102C2211yescharacteristic
47#16838101—21no—
48#16838100C2211yescharacteristic
49#16838081—21no—
50#16838078—21no—
51Q8×D236C2211yescharacteristic, complemented
52Q8×C22⋊D59C2211yescharacteristic
53Q8×C22⋊D59C2211yescharacteristic, complemented
54#16838047C2211yescharacteristic
55#16838046C2211yescharacteristic
56#16838042—21no—
57D4×C22⋊D59C2211yescharacteristic
58#16837959—21no—
59#16837959C2211yescharacteristic, complemented
60#16837956—21no—
61#16837956—21no—
62#16837956C2211yescharacteristic, complemented
63#16837956C2211yescharacteristic, complemented
64#16837949C2211yescharacteristic
65#16837936C2211yescharacteristic
66#16837934C2211yescharacteristic
67#16837932—21no—
68#16837913—21no—
69#16837911—21no—
70C4×#11745685—21no—
71C4×#11745685C2211yescharacteristic
72C4×#11745687C2211yescharacteristic
73C4×Q8×D59C2211yescharacteristic, complemented
74C4×Q8×D59C2211yescharacteristic, complemented
75C2×C4×C22⋊D59—21no—
76C4×D4×D59C2211yescharacteristic
77#16837811C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837796C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837773C2211yescharacteristic
83#16837771C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837762C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic
89#16837745C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837737C2211yescharacteristic, complemented
94#16837737C2211yescharacteristic, complemented
95#16837737C2211yescharacteristic, complemented
96#16837736C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic
98#16837719C2211yescharacteristic
99#16837717C2211yescharacteristic, complemented
100#16837714C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837708C2211yescharacteristic, complemented
104#16837707C2211yescharacteristic, complemented
105#16837696C2211yescharacteristic, complemented
106#16837696C2211yescharacteristic, complemented
107#16837695C2211yescharacteristic, complemented
108#16837690C2211yescharacteristic
109#16837682C2211yescharacteristic
110#16837682C2211yescharacteristic, complemented
111#16837681C2211yescharacteristic, complemented
112#16837680C2211yescharacteristic
113#16837651C2211yescharacteristic, complemented
114#16837649C2211yescharacteristic, complemented
115#16837647C2211yescharacteristic, complemented
116#16837645C2211yescharacteristic, complemented
117#16837644C2211yescharacteristic, complemented
118#16837643C2211yescharacteristic, complemented
119#16837643C2211yescharacteristic, complemented
120#16837642C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic
122#16837631C2211yescharacteristic
123#16837630C2211yescharacteristic
124#16837628C2211yescharacteristic
125#16837624C2211yescharacteristic, complemented
126#16837624C2211yescharacteristic, complemented
127#16837623C2211yescharacteristic, complemented
128#16837622C2211yescharacteristic, complemented
129#16837611C2211yescharacteristic, complemented
130#16837607C2211yescharacteristic
131#16837607C2211yescharacteristic, complemented
132#16837606C2211yescharacteristic, complemented
133#16837605C2211yescharacteristic
134#16837605C2211yescharacteristic
135#16837601C2211yescharacteristic
136#16837600C2211yescharacteristic
137#16837565C2211yescharacteristic
138#16837561C2211yescharacteristic
139#16837559C2211yescharacteristic, complemented
140#16837558C2211yescharacteristic, complemented
141#16837554C2211yescharacteristic
142#16837553C2211yescharacteristic
143#16837553C2211yescharacteristic
144#16837551C2211yescharacteristic
145#16837542C2211yescharacteristic, complemented
146#16837541C2211yescharacteristic
147#16837539C2211yescharacteristic
148#16837539C2211yescharacteristic, complemented
149#16837530C2211yescharacteristic, complemented
150#16837530C2211yescharacteristic, complemented
151#16837510C2211yescharacteristic, complemented
152#16837510C2211yescharacteristic, complemented
153#16837507C2211yescharacteristic, complemented
154#16837507C2211yescharacteristic, complemented
155#16837505C2211yescharacteristic, complemented
156#16837504C2211yescharacteristic, complemented
157#16837504C2211yescharacteristic, complemented
158#16837503C2211yescharacteristic
159#16837502C2211yescharacteristic
160#16837502C2211yescharacteristic
161#16837502C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837500C2211yescharacteristic, complemented
165#16837500C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic
167#16837496C2211yescharacteristic, complemented
168#16837494C2211yescharacteristic, complemented
169#16837493C2211yescharacteristic
170SD16×Dic59C2211yescharacteristic
171#16837475C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175C8×C22⋊D59C2211yescharacteristic
176C8×C22⋊D59C2211yescharacteristic
177#16837459C2211yescharacteristic, complemented
178#16837457C2211yescharacteristic, complemented
179#16837457C2211yescharacteristic, complemented
180#16837443C2211yescharacteristic, complemented
181#107×D59C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837400C2211yescharacteristic
184#103×D59C2211yescharacteristic, complemented
185#102×D59C2211yescharacteristic
186#16837354C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C22×SD16×C59C2211yescharacteristic
189C2×C4×Q8×C59C2211yescharacteristic, complemented
190C2×C4×D4×C59C2211yescharacteristic
191C59×#440C2211yescharacteristic
192C59×#440C2211yescharacteristic
193C59×#440C2211yescharacteristic
194C59×#440C2211yescharacteristic
195C59×#440C2211yescharacteristic, complemented
196C59×#440C2211yescharacteristic, complemented
197C59×#440C2211yescharacteristic, complemented
198C59×#440C2211yescharacteristic, complemented
199C2×#107×C59C2211yescharacteristic, complemented
200C2×#103×C59C2211yescharacteristic, complemented
201C2×#102×C59C2211yescharacteristic
202C2×#97×C59C2211yescharacteristic, complemented
203C2×#11745685—21no—
204C2×#11745685D411yescharacteristic
205C2×#11745687C2311yescharacteristic
206C2×Q8×D59C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C22×C22⋊D59—21no—
209C2×D4×D59C2311yescharacteristic
210C22×C4×D59—21no—
211#14273756—24no—
212C2×Dic236C2311yescharacteristic
213C2×Dic236C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745660C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224SD16×D59—24no—
225C2×#11745659C2311yescharacteristic
226C2×#11745659C2311yescharacteristic
227C2×C8×D59C2311yescharacteristic
228C2×C8×D59C2311yescharacteristic
229#14273727—21no—
230#14273727—21no—
231#14273727C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273726—21no—
234#14273726—21no—
235#14273726C2311yescharacteristic
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273725—21no—
239#14273725—21no—
240#14273725C2311yescharacteristic
241#14273725C2311yescharacteristic
242#14273723C2311yescharacteristic
243#14273722—21no—
244#14273721—21no—
245#14273720—21no—
246#14273720—21no—
247#14273719—21no—
248#14273719—21no—
249#14273719—21no—
250#14273719C2311yescharacteristic
251#14273718C2311yescharacteristic
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273717—21no—
256#14273717—21no—
257#14273717—21no—
258#14273717—21no—
259#14273715C2311yescharacteristic
260#14273714C2311yescharacteristic
261#14273713—21no—
262#14273713—21no—
263#14273712—21no—
264#14273711—21no—
265#14273710—21no—
266#14273710—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273708—21no—
271#14273707—21no—
272#14273707—21no—
273#14273707C2311yescharacteristic
274#14273707C2311yescharacteristic
275#14273707C2311yescharacteristic
276#14273706—21no—
277#14273706—21no—
278#14273706—21no—
279#14273706—21no—
280#14273706—21no—
281#14273706—21no—
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273706C2311yescharacteristic
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273705—21no—
292#14273705—21no—
293#14273704—21no—
294#14273704—21no—
295#14273703—21no—
296#14273703—21no—
297#14273703C2311yescharacteristic
298#14273703C2311yescharacteristic
299#14273702C2311yescharacteristic
300#14273701—21no—
301#14273701—21no—
302#14273701C2311yescharacteristic
303#14273700—21no—
304#14273700—21no—
305#14273699—21no—
306#14273699—21no—
307#14273698C2311yescharacteristic
308#14273698C2311yescharacteristic
309#14273697—21no—
310#14273696—21no—
311#14273696—21no—
312#14273695—21no—
313Q8×Dic59C2311yescharacteristic
314Q8×Dic59C2311yescharacteristic
315C4×Dic118—21no—
316C4×Dic118—21no—
317C4×Dic118—21no—
318C4×Dic118—21no—
319C4×Dic118—21no—
320C4×Dic118—21no—
321C4×Dic118—21no—
322C4×Dic118D411yescharacteristic
323C4×Dic118C2311yescharacteristic
324C4×Dic118C2311yescharacteristic
325C4×Dic118C2311yescharacteristic
326C4×Dic118C2311yescharacteristic
327#14273692—21no—
328#14273692—21no—
329#14273692C2311yescharacteristic
330#14273692C2311yescharacteristic
331#14273692C2311yescharacteristic
332C4×D236—21no—
333C4×D236—21no—
334C4×D236D411yescharacteristic
335C4×D236C2311yescharacteristic
336C4×D236C2311yescharacteristic
337D4×Dic59C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
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⋊D59—21no—
351C4×C22⋊D59—21no—
352C4×C22⋊D59—21no—
353C4×C22⋊D59D411yescharacteristic
354C4×C22⋊D59D411yescharacteristic
355C4×C22⋊D59C2311yescharacteristic
356C4×C22⋊D59C2311yescharacteristic
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359#14273686—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×Dic59⋊C4—21no—
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59C2311yescharacteristic
373C4⋊C4×D59C2311yescharacteristic
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×(C2×D59)⋊C4—21no—
377C22⋊C4×D59—21no—
378C2×C4×Dic59—21no—
379C42×D59—21no—
380C42×D59—21no—
381C42×D59C2311yescharacteristic
382C42×D59C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C22×Q8×C59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440C2×SD16×C59—24no—
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C22×C8×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4×Q8×C59—21no—
448C4×Q8×C59—21no—
449C4×Q8×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
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
459C2×C4⋊C4×C59—21no—
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C22⋊C4×C59—21no—
463C2×C42×C59—21no—
464C2×C42×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#107×C59C2311yescharacteristic
468#107×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
477#97×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480#97×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C2×Q8×C59—21no—
484C2×Q8×C59—22no—
485C2×Q8×C59—41no—
486C2×Q8×C59C2411yescharacteristic
487C2×Q8×C59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—21no—
490C2×D4×C59—41no—
491C2×D4×C59C2411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—82no—
501C22×C4×C59C2×D411yescharacteristic
502C22×C4×C59C2×D411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—44no—
512C2×C22⋊D59C2×D411yescharacteristic
513C2×C22⋊D59C2×D411yescharacteristic
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517Q8×D59—22no—
518Q8×D59—22no—
519Q8×D59—41no—
520Q8×D59—41no—
521#11745687—22no—
522#11745687—41no—
523D4×D59—22no—
524D4×D59—41no—
525#11745685—24no—
526#11745685—82no—
527C2×D236—21no—
528C2×D236C2×D411yescharacteristic
529C2×D236C2411yescharacteristic
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—21no—
537C2×C4×D59—82no—
538C2×C4×D59C2×D411yescharacteristic
539C2×C4×D59C2×D411yescharacteristic
540C2×C4×D59C2×D411yescharacteristic
541C2×C4×D59C2×D411yescharacteristic
542C2×C4×D59C2411yescharacteristic
543C2×C4×D59C2411yescharacteristic
544C2×Dic118—21no—
545C2×Dic118—21no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118C2×D411yescharacteristic
551C2×Dic118C2411yescharacteristic
552C2×Dic118C2411yescharacteristic
553C2×Dic118C2411yescharacteristic
554SD16×C59—22no—
555SD16×C59—22no—
556SD16×C59—22no—
557SD16×C59#4114yescomplemented
558C2×C8×C59—22no—
559C2×C8×C59—41no—
560C2×C8×C59C2411yescharacteristic
561C2×C8×C59C2411yescharacteristic
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
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—
578C42×C59—21no—
579C42×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⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59C2×D411yescharacteristic
596C22⋊Dic59C2×D411yescharacteristic
597#11745672—22no—
598#11745672—41no—
599#11745671—22no—
600#11745671—41no—
601#11745670—22no—
602#11745670—22no—
603#11745670—41no—
604#11745670—41no—
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)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4C2×D411yescharacteristic
618(C2×D59)⋊C4C2×D411yescharacteristic
619(C2×D59)⋊C4C2×D411yescharacteristic
620(C2×D59)⋊C4C2×D411yescharacteristic
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59C2×D411yescharacteristic
631C4⋊Dic59C2×D411yescharacteristic
632C4⋊Dic59C2411yescharacteristic
633C4⋊Dic59C2411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4C2×D411yescharacteristic
661Dic59⋊C4C2×D411yescharacteristic
662Dic59⋊C4C2×D411yescharacteristic
663Dic59⋊C4C2×D411yescharacteristic
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59C2×D411yescharacteristic
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2411yescharacteristic
678C4×Dic59C2411yescharacteristic
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—42no—
707Q8×C59C2×#4112yes—
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—42no—
726C2×C4×C59—81no—
727C2×C4×C59—81no—
728C2×C4×C59—81no—
729C2×C4×C59—81no—
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C2511yescharacteristic
736C22⋊D59—22no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—81no—
743C22⋊D59—81no—
744C22⋊D59#13714yescomplemented
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—42no—
753C2×Dic59—42no—
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—22no—
781Dic118—21no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—21no—
786Dic118—21no—
787Dic118—42no—
788Dic118—42no—
789Dic118—81no—
790Dic118—81no—
791Dic118—81no—
792Dic118—81no—
793C8×C59—21no—
794C8×C59—21no—
795C8×C59—21no—
796C8×C59C2×#4112yes—
797C59⋊C8—21no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
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—22no—
826C4×C59—21no—
827C4×C59—21no—
828C4×C59—21no—
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—21no—
839Dic59—21no—
840Dic59—21no—
841Dic59—41no—
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#3110—591no—
876#2970—591no—
877C4×#137—591no—
878C2×#440—591no—
879C2×#440D5911yescharacteristic, complemented
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×SD16C2×D5911yescharacteristic
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—591no—
919#533—1181no—
920#533—1181no—
921#533—1181no—
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×Q8C2×D5911yescharacteristic, complemented
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#484—591no—
956#484—591no—
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#474—591no—
972#474—591no—
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#461—591no—
994#461—591no—
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#450—591no—
1004#450—591no—
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#440C2×D5911yescharacteristic
1028#440C2×D5911yescharacteristic
1029#440C2×D5911yescharacteristic
1030#440C2×D5911yescharacteristic
1031#440C2×D5911yescharacteristic, complemented
1032#440C2×D5911yescharacteristic, complemented
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#432—591no—
1048#428—591no—
1049C2×#107—591no—
1050C2×#107C2×D5911yescharacteristic, complemented
1051#419—591no—
1052#417—591no—
1053C2×#103—591no—
1054C2×#103C2×D5911yescharacteristic, complemented
1055C2×#102—591no—
1056C2×#102C2×D5911yescharacteristic
1057C4×M16—591no—
1058C2×#97—591no—
1059C2×#97C2×D5911yescharacteristic, complemented
1060C59#6145311yescharacteristic, complemented, Sylow
1061C2×#41—591no—
1062C2×#41—591no—
1063C2×#41—1181no—
1064C22×Q8—591no—
1065C22×Q8—591no—
1066C22×Q8C22×D5911yescharacteristic
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—24no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×SD16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
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×C8C22×D5911yescharacteristic
1096C22×C8C22×D5911yescharacteristic
1097C4⋊Q8—591no—
1098C4⋊Q8—591no—
1099C4⋊Q8—591no—
1100C4⋊Q8—591no—
1101C4⋊Q8—591no—
1102C4⋊Q8—591no—
1103C4⋊Q8—591no—
1104C4⋊Q8—1181no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8—1181no—
1108C4⋊Q8—1181no—
1109C4⋊Q8—1181no—
1110#127—591no—
1111#126—1181no—
1112#126—1181no—
1113#126—1181no—
1114#126—1181no—
1115#125—591no—
1116#125—591no—
1117#125—1181no—
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—591no—
1140C22⋊Q8—591no—
1141C22⋊Q8—591no—
1142C22⋊Q8—591no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
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⋊Q8—1181no—
1166C22⋊Q8—1181no—
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—21no—
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—1181no—
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×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
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—591no—
1240#117—591no—
1241#117—591no—
1242#117—591no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249C2×C4⋊C4—21no—
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⋊C4C22×D5911yescharacteristic
1257C2×C4⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4—21no—
1259C2×C22⋊C4—1181no—
1260C2×C22⋊C4—1181no—
1261C2×C22⋊C4—1181no—
1262C2×C42—21no—
1263C2×C42—591no—
1264C2×C42—591no—
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⋊C8—591no—
1290C4⋊C8—591no—
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⋊C8—591no—
1328C22⋊C8—591no—
1329#97—591no—
1330#97—591no—
1331#97—591no—
1332#97—591no—
1333#97C22×D5911yescharacteristic
1334#97C22×D5911yescharacteristic
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—22no—
1347C2×Q8—41no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—591no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8—1181no—
1355C2×Q8—1181no—
1356C2×Q8—1181no—
1357C2×Q8—1181no—
1358C2×Q8—1182no—
1359C2×Q8—1182no—
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—21no—
1390C22×C4—21no—
1391C22×C4—82no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—591no—
1397C22×C4—591no—
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—22no—
1419SD16—1182no—
1420SD16—1182no—
1421SD16—1182no—
1422SD16—1182no—
1423SD16—2361no—
1424SD16—2361no—
1425SD16—2361no—
1426SD16—2361no—
1427SD16#1174568514yescomplemented
1428M16—1182no—
1429M16—2361no—
1430C2×C8—22no—
1431C2×C8—41no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—591no—
1435C2×C8—591no—
1436C2×C8—1182no—
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—591no—
1449C4⋊C4—591no—
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—1181no—
1459C4⋊C4—1181no—
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—591no—
1500C22⋊C4—591no—
1501C22⋊C4—591no—
1502C22⋊C4—591no—
1503C22⋊C4—591no—
1504C22⋊C4—591no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
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—21no—
1529C42—21no—
1530C42—591no—
1531C42—591no—
1532C42—591no—
1533C42—591no—
1534C42—591no—
1535C42—591no—
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—42no—
1565Q8—1182no—
1566Q8—1181no—
1567Q8—1181no—
1568Q8—1181no—
1569Q8—1181no—
1570Q8—1181no—
1571Q8—1181no—
1572Q8—4721no—
1573Q8—4721no—
1574Q8—4721no—
1575Q8—4721no—
1576Q8—2362no—
1577Q8—2362no—
1578Q8C2×#1174568512yes—
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—
1596D4C2×#1174568512yes—
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—42no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—591no—
1615C2×C4—591no—
1616C2×C4—591no—
1617C2×C4—591no—
1618C2×C4—591no—
1619C2×C4—591no—
1620C2×C4—1182no—
1621C2×C4—1182no—
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—1181no—
1632C2×C4—1181no—
1633C2×C4—4721no—
1634C2×C4—4721no—
1635C2×C4—4721no—
1636C2×C4—4721no—
1637C2×C4—4721no—
1638C2×C4—2361no—
1639C2×C4—2361no—
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—1181no—
1655C8—1181no—
1656C8—1181no—
1657C8—1181no—
1658C8C2×#1174568512yes—
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—22no—
1684C4—21no—
1685C4—21no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—592no—
1692C4—1181no—
1693C4—1181no—
1694C4—1181no—
1695C4—1181no—
1696C4—1181no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4C22×#1174568511yescharacteristic
1705C4#1683823811yescharacteristic
1706C2—22no—
1707C2—42no—
1708C2—81no—
1709C2—1182no—
1710C2—4721no—
1711C2—2361no—
1712C2D4×#1174568511yescharacteristic
1713C2C2×#137×D5911yescharacteristic
1714C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC2×C59×#440C2
socleC22×C59C23×D4
prime radical#21437700C2
hypercenterC2×#440D59
hypocenterC59#61453
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
2. Q8×#11745685C2semidirect
3. #21437150C2semidirect
4. #21437007C2semidirect
5. #21436911C2semidirect
6. #21436878C2semidirect
7. #21436586C2semidirect
8. #21436577C2semidirect
9. #21436486C2semidirect
10. #21436272C2semidirect
11. #21436263C2semidirect
12. #21436182C2semidirect
13. #21436173C2semidirect
14. #21435968C2semidirect
15. #21435916C2semidirect
16. SD16×C22⋊D59C2semidirect
17. #21435608C2semidirect
18. #21435606C2semidirect
19. #21434811C2semidirect
20. #21434805C2semidirect
21. #21434801C2semidirect
22. #21434267C2semidirect
23. #21434265C2semidirect
24. #21434254C2semidirect
25. #21434216C2semidirect
26. #21434195C2semidirect
27. #21434193C2semidirect
28. #21433107C2semidirect
29. #21432918C2semidirect
30. #440×D59C2semidirect
31. C2×C59×#440C2semidirect
35. Q8×Dic118C22semidirect
37. #16838130C22semidirect
39. #16838112C22semidirect
45. #16838107C22semidirect
51. Q8×D236C22semidirect
53. Q8×C22⋊D59C22semidirect
59. #16837959C22semidirect
62. #16837956C22semidirect
63. #16837956C22semidirect
73. C4×Q8×D59C22semidirect
74. C4×Q8×D59C22semidirect
77. #16837811C22semidirect
78. #16837810C22semidirect
79. #16837806C22semidirect
80. #16837796C22semidirect
81. #16837793C22semidirect
83. #16837771C22semidirect
84. #16837769C22semidirect
85. #16837762C22semidirect
86. #16837760C22semidirect
87. #16837751C22semidirect
89. #16837745C22semidirect
90. #16837741C22semidirect
91. #16837739C22semidirect
92. #16837739C22semidirect
93. #16837737C22semidirect
94. #16837737C22semidirect
95. #16837737C22semidirect
96. #16837736C22semidirect
99. #16837717C22semidirect
100. #16837714C22semidirect
101. #16837709C22semidirect
102. #16837709C22semidirect
103. #16837708C22semidirect
104. #16837707C22semidirect
105. #16837696C22semidirect
106. #16837696C22semidirect
107. #16837695C22semidirect
110. #16837682C22semidirect
111. #16837681C22semidirect
113. #16837651C22semidirect
114. #16837649C22semidirect
115. #16837647C22semidirect
116. #16837645C22semidirect
117. #16837644C22semidirect
118. #16837643C22semidirect
119. #16837643C22semidirect
120. #16837642C22semidirect
125. #16837624C22semidirect
126. #16837624C22semidirect
127. #16837623C22semidirect
128. #16837622C22semidirect
129. #16837611C22semidirect
131. #16837607C22semidirect
132. #16837606C22semidirect
139. #16837559C22semidirect
140. #16837558C22semidirect
145. #16837542C22semidirect
148. #16837539C22semidirect
149. #16837530C22semidirect
150. #16837530C22semidirect
151. #16837510C22semidirect
152. #16837510C22semidirect
153. #16837507C22semidirect
154. #16837507C22semidirect
155. #16837505C22semidirect
156. #16837504C22semidirect
157. #16837504C22semidirect
161. #16837502C22semidirect
162. #16837502C22semidirect
163. #16837501C22semidirect
164. #16837500C22semidirect
165. #16837500C22semidirect
167. #16837496C22semidirect
168. #16837494C22semidirect
171. #16837475C22semidirect
172. #16837475C22semidirect
173. #16837473C22semidirect
174. #16837473C22semidirect
177. #16837459C22semidirect
178. #16837457C22semidirect
179. #16837457C22semidirect
180. #16837443C22semidirect
181. #107×D59C22semidirect
182. #16837409C22semidirect
184. #103×D59C22semidirect
186. #16837354C22semidirect
187. #97×D59C22semidirect
189. C2×C4×Q8×C59C22semidirect
195. C59×#440C22semidirect
196. C59×#440C22semidirect
197. C59×#440C22semidirect
198. C59×#440C22semidirect
199. C2×#107×C59C22semidirect
200. C2×#103×C59C22semidirect
202. C2×#97×C59C22semidirect
557. SD16×C59#41semidirect
744. C22⋊D59#137semidirect
879. C2×#440D59semidirect
933. C2×C4×Q8C2×D59semidirect
1031. #440C2×D59semidirect
1032. #440C2×D59semidirect
1033. #440C2×D59semidirect
1034. #440C2×D59semidirect
1050. C2×#107C2×D59semidirect
1054. C2×#103C2×D59semidirect
1059. C2×#97C2×D59semidirect
1060. C59#61453semidirect
1427. SD16#11745685semidirect

Maximal subgroups

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

subgroupindex
#214377002
Q8×#117456852
#214371502
#214370072
#214369112
#214368782
#214365862
#214365772
#214364862
#214362722
#214362632
#214361822
#214361732
#214359682
#214359162
SD16×C22⋊D592
#214356082
#214356062
#214348112
#214348052
#214348012
#214342672
#214342652
#214342542
#214342162
#214341952
#214341932
#214331072
#214329182
#440×D592
C2×C59×#4402
#6145359