Finite Group Databasebeta

← D59×#3377 #29468478

Subgroups — D59×#3377 #29468478

Order 15104.

1810 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#557×D59C211yesmaximal, characteristic, complemented
2#556×D59C211yesmaximal, characteristic
3#21436945C211yesmaximal, characteristic, complemented
4#21436944C211yesmaximal, characteristic, complemented
5#21436943C211yesmaximal, characteristic, complemented
6#21436942C211yesmaximal, characteristic, complemented
7#21436941C211yesmaximal, characteristic, complemented
8#21436940C211yesmaximal, characteristic, complemented
9#21436939C211yesmaximal, characteristic, complemented
10#21436938C211yesmaximal, characteristic, complemented
11#21436937C211yesmaximal, characteristic, complemented
12#21436936C211yesmaximal, characteristic, complemented
13#21436935C211yesmaximal, characteristic, complemented
14#21436934C211yesmaximal, characteristic, complemented
15#21436933C211yesmaximal, characteristic, complemented
16#21436932C211yesmaximal, characteristic, complemented
17#21436931C211yesmaximal, characteristic, complemented
18#491×D59C211yesmaximal, characteristic, complemented
19#489×D59C211yesmaximal, characteristic
20#488×D59C211yesmaximal, characteristic
21#479×D59C211yesmaximal, characteristic, complemented
22#477×D59C211yesmaximal, characteristic, complemented
23#478×D59C211yesmaximal, characteristic
24#464×D59C211yesmaximal, characteristic
25#464×D59C211yesmaximal, characteristic
26#462×D59C211yesmaximal, characteristic, complemented
27#446×D59C211yesmaximal, characteristic, complemented
28#441×D59C211yesmaximal, characteristic, complemented
29#440×D59C211yesmaximal, characteristic
30C4×Q16×D59C211yesmaximal, characteristic, complemented
31C59×#3377C211yesmaximal, characteristic, complemented
32C2×Q16×D59C2211yescharacteristic
33C2×Q16×D59C2211yescharacteristic
34C2×SD16×D59C2211yescharacteristic
35#16838131C2211yescharacteristic, complemented
36#16838130—21no—
37#16838130C2211yescharacteristic, complemented
38#16838129—21no—
39#16838129—21no—
40#16838129C2211yescharacteristic, complemented
41#16838129C2211yescharacteristic, complemented
42#16838128C2211yescharacteristic, complemented
43#16838128C2211yescharacteristic, complemented
44#16838127—21no—
45#16838127C2211yescharacteristic, complemented
46#16838126C2211yescharacteristic
47#16838125C2211yescharacteristic
48#16838124C2211yescharacteristic
49#16838124C2211yescharacteristic
50#16838123—21no—
51#16838122C2211yescharacteristic
52#16838121C2211yescharacteristic
53#16838121C2211yescharacteristic
54#16838120—21no—
55#16838119—21no—
56#16838119—21no—
57C4⋊Q8×D59—21no—
58C4⋊Q8×D59C2211yescharacteristic
59C4⋊Q8×D59C2211yescharacteristic
60#126×D59—21no—
61#126×D59—21no—
62#125×D59—21no—
63#125×D59—21no—
64#125×D59C2211yescharacteristic
65#125×D59C2211yescharacteristic
66#124×D59C2211yescharacteristic
67#124×D59C2211yescharacteristic
68C22⋊Q8×D59—21no—
69C4×Q8×D59—21no—
70C4×Q8×D59C2211yescharacteristic
71C4×Q8×D59C2211yescharacteristic
72C4×Q8×D59C2211yescharacteristic
73C4×Q8×D59C2211yescharacteristic
74C4×Q8×D59C2211yescharacteristic
75C4×Q8×D59C2211yescharacteristic
76C4×D4×D59C2211yescharacteristic
77#117×D59—21no—
78#16837772C2211yescharacteristic, complemented
79#16837771C2211yescharacteristic, complemented
80#16837770C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837769C2211yescharacteristic, complemented
83#16837769C2211yescharacteristic, complemented
84#16837769C2211yescharacteristic, complemented
85#16837764C2211yescharacteristic
86#16837763C2211yescharacteristic
87#16837763C2211yescharacteristic
88#16837762C2211yescharacteristic
89#16837761C2211yescharacteristic
90#16837760C2211yescharacteristic
91#16837760C2211yescharacteristic
92#16837759C2211yescharacteristic
93#16837758C2211yescharacteristic
94#16837758C2211yescharacteristic
95#16837757C2211yescharacteristic
96#16837756C2211yescharacteristic
97#16837755C2211yescharacteristic
98#16837755C2211yescharacteristic
99#16837712C2211yescharacteristic, complemented
100#16837711C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837709C2211yescharacteristic, complemented
103#16837708C2211yescharacteristic, complemented
104#16837707C2211yescharacteristic, complemented
105#16837706C2211yescharacteristic, complemented
106#16837705C2211yescharacteristic
107#16837704C2211yescharacteristic
108#16837703C2211yescharacteristic
109#16837702C2211yescharacteristic
110#16837701C2211yescharacteristic
111#16837700C2211yescharacteristic
112#16837699C2211yescharacteristic
113#16837698C2211yescharacteristic, complemented
114#16837697C2211yescharacteristic, complemented
115#16837696C2211yescharacteristic, complemented
116#16837696C2211yescharacteristic, complemented
117#16837695C2211yescharacteristic, complemented
118#16837695C2211yescharacteristic, complemented
119#16837694C2211yescharacteristic, complemented
120#16837627C2211yescharacteristic
121#16837627C2211yescharacteristic
122#16837626C2211yescharacteristic
123#16837626C2211yescharacteristic
124#16837625C2211yescharacteristic
125#16837625C2211yescharacteristic
126#16837624C2211yescharacteristic
127#16837624C2211yescharacteristic
128#16837623C2211yescharacteristic
129#16837623C2211yescharacteristic
130#16837622C2211yescharacteristic
131#16837622C2211yescharacteristic
132#16837621C2211yescharacteristic
133#16837621C2211yescharacteristic
134#16837613C2211yescharacteristic, complemented
135#16837612C2211yescharacteristic, complemented
136#16837611C2211yescharacteristic, complemented
137#16837611C2211yescharacteristic, complemented
138#16837610C2211yescharacteristic, complemented
139#16837610C2211yescharacteristic, complemented
140#16837609C2211yescharacteristic, complemented
141#16837533C2211yescharacteristic, complemented
142#16837532C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837531C2211yescharacteristic, complemented
145#16837530C2211yescharacteristic, complemented
146#16837530C2211yescharacteristic, complemented
147#16837529C2211yescharacteristic, complemented
148#16837510C2211yescharacteristic, complemented
149#16837509C2211yescharacteristic, complemented
150#16837508C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837507C2211yescharacteristic, complemented
153#16837506C2211yescharacteristic, complemented
154#16837506C2211yescharacteristic, complemented
155#16837505C2211yescharacteristic
156#16837504C2211yescharacteristic
157#16837503C2211yescharacteristic
158#16837502C2211yescharacteristic
159#16837501C2211yescharacteristic
160#16837500C2211yescharacteristic
161#16837499C2211yescharacteristic
162C4×Dic236C2211yescharacteristic, complemented
163Q16×Dic59C2211yescharacteristic, complemented
164#16837496C2211yescharacteristic, complemented
165C4×#11745672C2211yescharacteristic, complemented
166C4×#11745672C2211yescharacteristic, complemented
167#16837494C2211yescharacteristic, complemented
168#16837494C2211yescharacteristic, complemented
169#107×D59C2211yescharacteristic
170#107×D59C2211yescharacteristic
171#106×D59C2211yescharacteristic
172C4⋊C8×D59C2211yescharacteristic
173C4⋊C8×D59C2211yescharacteristic
174C4⋊C8×D59C2211yescharacteristic
175#103×D59C2211yescharacteristic
176#103×D59C2211yescharacteristic
177#103×D59C2211yescharacteristic
178#103×D59C2211yescharacteristic
179#103×D59C2211yescharacteristic
180#103×D59C2211yescharacteristic
181#103×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185#97×D59C2211yescharacteristic
186#97×D59C2211yescharacteristic
187C4×C8×D59C2211yescharacteristic
188C59×#557C2211yescharacteristic, complemented
189C59×#556C2211yescharacteristic
190C59×#491C2211yescharacteristic, complemented
191C59×#489C2211yescharacteristic
192C59×#488C2211yescharacteristic
193C59×#479C2211yescharacteristic, complemented
194C59×#478C2211yescharacteristic
195C59×#477C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic
197C59×#464C2211yescharacteristic
198C59×#462C2211yescharacteristic, complemented
199C59×#446C2211yescharacteristic, complemented
200C59×#441C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic
202C4×Q16×C59C2211yescharacteristic, complemented
203C2×Q8×D59—21no—
204C2×Q8×D59D411yescharacteristic
205C2×Q8×D59C2311yescharacteristic
206C2×Q8×D59C2311yescharacteristic
207C2×Q8×D59C2311yescharacteristic
208C2×D4×D59C2311yescharacteristic
209C22×C4×D59—21no—
210C2×Dic236C2311yescharacteristic
211C2×Dic236C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216Q16×D59—24no—
217Q16×D59—24no—
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221SD16×D59—24no—
222C2×C8×D59C2311yescharacteristic
223C2×C8×D59C2311yescharacteristic
224C2×C8×D59C2311yescharacteristic
225C2×C8×D59C2311yescharacteristic
226#14273727—21no—
227#14273727C2311yescharacteristic
228#14273727C2311yescharacteristic
229#14273726—21no—
230#14273726—21no—
231#14273726—21no—
232#14273726—21no—
233#14273726—21no—
234#14273726—21no—
235#14273726—21no—
236#14273726C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273725—21no—
239#14273725—21no—
240#14273725—21no—
241#14273725C2311yescharacteristic
242#14273725C2311yescharacteristic
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273722—21no—
247#14273722—21no—
248#14273722—21no—
249#14273721—21no—
250#14273721—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273720—21no—
255#14273720—21no—
256#14273720—21no—
257#14273719—21no—
258#14273719—21no—
259#14273719C2311yescharacteristic
260#14273719C2311yescharacteristic
261#14273718—21no—
262#14273718—21no—
263#14273718—21no—
264#14273718—21no—
265#14273718C2311yescharacteristic
266#14273718C2311yescharacteristic
267#14273718C2311yescharacteristic
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273717—21no—
276#14273717—21no—
277#14273717—21no—
278#14273717—21no—
279#14273717—21no—
280#14273717—21no—
281#14273716C2311yescharacteristic
282#14273716C2311yescharacteristic
283#14273715C2311yescharacteristic
284#14273715C2311yescharacteristic
285#14273714C2311yescharacteristic
286#14273714C2311yescharacteristic
287#14273713—21no—
288#14273713—21no—
289#14273713—21no—
290#14273713—21no—
291#14273707—21no—
292#14273706—21no—
293#14273705—21no—
294#14273705—21no—
295#14273704—21no—
296#14273704—21no—
297#14273703—21no—
298Q8×Dic59—21no—
299Q8×Dic59D411yescharacteristic
300Q8×Dic59C2311yescharacteristic
301Q8×Dic59C2311yescharacteristic
302Q8×Dic59C2311yescharacteristic
303Q8×Dic59C2311yescharacteristic
304Q8×Dic59C2311yescharacteristic
305C4×Dic118—21no—
306C4×Dic118—21no—
307C4×Dic118—21no—
308C4×Dic118—21no—
309C4×Dic118—21no—
310C4×Dic118—21no—
311C4×Dic118—21no—
312C4×Dic118—21no—
313C4×Dic118C2311yescharacteristic
314C4×Dic118C2311yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318C4×Dic118C2311yescharacteristic
319C4×Dic118C2311yescharacteristic
320C4×Dic118C2311yescharacteristic
321#14273692—21no—
322#14273692—21no—
323#14273692—21no—
324#14273692—21no—
325#14273692—21no—
326#14273692—21no—
327#14273692—21no—
328#14273692—21no—
329#14273692D411yescharacteristic
330#14273692D411yescharacteristic
331#14273692D411yescharacteristic
332#14273692C2311yescharacteristic
333#14273692C2311yescharacteristic
334#14273692C2311yescharacteristic
335#14273692C2311yescharacteristic
336#14273692C2311yescharacteristic
337C4×D236C2311yescharacteristic
338D4×Dic59C2311yescharacteristic
339#14273689C2311yescharacteristic
340C4×C22⋊D59—21no—
341(C22⋊D59)⋊C4—21no—
342#14273686—21no—
343#14273685—21no—
344#14273685—21no—
345#14273684—21no—
346#14273684—21no—
347#14273683—21no—
348#14273683—21no—
349C4⋊C4×D59—21no—
350C4⋊C4×D59—21no—
351C4⋊C4×D59—21no—
352C4⋊C4×D59—21no—
353C4⋊C4×D59—21no—
354C4⋊C4×D59—21no—
355C4⋊C4×D59—21no—
356C4⋊C4×D59—21no—
357C4⋊C4×D59—21no—
358C4⋊C4×D59—21no—
359C4⋊C4×D59—21no—
360C4⋊C4×D59—21no—
361C4⋊C4×D59D411yescharacteristic
362C4⋊C4×D59D411yescharacteristic
363C4⋊C4×D59D411yescharacteristic
364C4⋊C4×D59C2311yescharacteristic
365C4⋊C4×D59C2311yescharacteristic
366C4⋊C4×D59C2311yescharacteristic
367C4⋊C4×D59C2311yescharacteristic
368C22⋊C4×D59—21no—
369C22⋊C4×D59—21no—
370C22⋊C4×D59—21no—
371C22⋊C4×D59—21no—
372C22⋊C4×D59—21no—
373C42×D59—21no—
374C42×D59—21no—
375C42×D59—21no—
376C42×D59—21no—
377C42×D59—21no—
378C42×D59C2311yescharacteristic
379C42×D59C2311yescharacteristic
380C42×D59C2311yescharacteristic
381#14273661C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273660C2311yescharacteristic
384#14273660C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273659C2311yescharacteristic
388#14273658C2311yescharacteristic
389#14273658C2311yescharacteristic
390C4⋊(C59⋊C8)C2311yescharacteristic
391C4⋊(C59⋊C8)C2311yescharacteristic
392C4⋊(C59⋊C8)C2311yescharacteristic
393Dic59⋊C8C2311yescharacteristic
394Dic59⋊C8C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273638C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×Q16×C59C2311yescharacteristic
439C2×Q16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C4⋊Q8×C59—21no—
442C4⋊Q8×C59C2311yescharacteristic
443C4⋊Q8×C59C2311yescharacteristic
444#126×C59—21no—
445#126×C59—21no—
446#125×C59—21no—
447#125×C59—21no—
448#125×C59C2311yescharacteristic
449#125×C59C2311yescharacteristic
450#124×C59C2311yescharacteristic
451#124×C59C2311yescharacteristic
452C22⋊Q8×C59—21no—
453C4×Q8×C59—21no—
454C4×Q8×C59C2311yescharacteristic
455C4×Q8×C59C2311yescharacteristic
456C4×Q8×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×Q8×C59C2311yescharacteristic
459C4×Q8×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461#117×C59—21no—
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#106×C59C2311yescharacteristic
465C4⋊C8×C59C2311yescharacteristic
466C4⋊C8×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468#103×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#97×C59C2311yescharacteristic
479#97×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C2×Q8×C59—21no—
483C2×Q8×C59C2×D411yescharacteristic
484C2×Q8×C59C2411yescharacteristic
485C2×Q8×C59C2411yescharacteristic
486C2×Q8×C59C2411yescharacteristic
487C2×D4×C59C2411yescharacteristic
488C22×C4×C59—21no—
489C2×C22⋊D59—21no—
490C22×Dic59—21no—
491Q8×D59—22no—
492Q8×D59—22no—
493Q8×D59—22no—
494Q8×D59—22no—
495Q8×D59—22no—
496Q8×D59—42no—
497Q8×D59—44no—
498Q8×D59#4114yes—
499D4×D59—22no—
500D4×D59—22no—
501C2×D236C2411yescharacteristic
502C2×C4×D59—21no—
503C2×C4×D59—21no—
504C2×C4×D59—21no—
505C2×C4×D59—21no—
506C2×C4×D59—21no—
507C2×C4×D59—21no—
508C2×C4×D59—21no—
509C2×C4×D59—21no—
510C2×C4×D59—21no—
511C2×C4×D59—44no—
512C2×C4×D59C2×D411yescharacteristic
513C2×C4×D59C2×D411yescharacteristic
514C2×C4×D59C2×D411yescharacteristic
515C2×C4×D59C2×D411yescharacteristic
516C2×C4×D59C2×D411yescharacteristic
517C2×C4×D59C2×D411yescharacteristic
518C2×C4×D59C2411yescharacteristic
519C2×Dic118—21no—
520C2×Dic118—21no—
521C2×Dic118—21no—
522C2×Dic118—21no—
523C2×Dic118—21no—
524C2×Dic118—21no—
525C2×Dic118C2×D411yescharacteristic
526C2×Dic118C2×D411yescharacteristic
527C2×Dic118C2×D411yescharacteristic
528C2×Dic118C2411yescharacteristic
529C2×Dic118C2411yescharacteristic
530C2×Dic118C2411yescharacteristic
531Q16×C59—22no—
532Q16×C59—22no—
533SD16×C59—22no—
534C2×C8×C59C2411yescharacteristic
535C2×C8×C59C2411yescharacteristic
536C2×C8×C59C2411yescharacteristic
537C2×C8×C59C2411yescharacteristic
538C4⋊C4×C59—21no—
539C4⋊C4×C59—21no—
540C4⋊C4×C59—21no—
541C4⋊C4×C59—21no—
542C4⋊C4×C59—21no—
543C4⋊C4×C59—21no—
544C4⋊C4×C59—21no—
545C4⋊C4×C59—21no—
546C4⋊C4×C59—21no—
547C4⋊C4×C59—21no—
548C4⋊C4×C59—21no—
549C4⋊C4×C59—21no—
550C4⋊C4×C59C2×D411yescharacteristic
551C4⋊C4×C59C2×D411yescharacteristic
552C4⋊C4×C59C2×D411yescharacteristic
553C4⋊C4×C59C2411yescharacteristic
554C4⋊C4×C59C2411yescharacteristic
555C4⋊C4×C59C2411yescharacteristic
556C4⋊C4×C59C2411yescharacteristic
557C22⋊C4×C59—21no—
558C22⋊C4×C59—21no—
559C22⋊C4×C59—21no—
560C22⋊C4×C59—21no—
561C22⋊C4×C59—21no—
562C42×C59—21no—
563C42×C59—21no—
564C42×C59—21no—
565C42×C59—21no—
566C42×C59—21no—
567C42×C59C2411yescharacteristic
568C42×C59C2411yescharacteristic
569C42×C59C2411yescharacteristic
570C22⋊Dic59—21no—
571C22⋊Dic59—21no—
572C22⋊Dic59—21no—
573C22⋊Dic59—21no—
574C22⋊Dic59—21no—
575#11745672—22no—
576#11745672—22no—
577#11745672—22no—
578#11745672—22no—
579#11745671—22no—
580#11745670—22no—
581(C2×D59)⋊C4—21no—
582(C2×D59)⋊C4—21no—
583(C2×D59)⋊C4—21no—
584(C2×D59)⋊C4—21no—
585(C2×D59)⋊C4—21no—
586(C2×D59)⋊C4—21no—
587(C2×D59)⋊C4—21no—
588(C2×D59)⋊C4—21no—
589(C2×D59)⋊C4—21no—
590(C2×D59)⋊C4—21no—
591C4⋊Dic59—21no—
592C4⋊Dic59—21no—
593C4⋊Dic59—21no—
594C4⋊Dic59—21no—
595C4⋊Dic59—21no—
596C4⋊Dic59—21no—
597C4⋊Dic59—21no—
598C4⋊Dic59—21no—
599C4⋊Dic59—21no—
600C4⋊Dic59—21no—
601C4⋊Dic59—21no—
602C4⋊Dic59—21no—
603C4⋊Dic59C2×D411yescharacteristic
604C4⋊Dic59C2×D411yescharacteristic
605C4⋊Dic59C2×D411yescharacteristic
606C4⋊Dic59C2411yescharacteristic
607C4⋊Dic59C2411yescharacteristic
608C4⋊Dic59C2411yescharacteristic
609C4⋊Dic59C2411yescharacteristic
610Dic59⋊C4—21no—
611Dic59⋊C4—21no—
612Dic59⋊C4—21no—
613Dic59⋊C4—21no—
614Dic59⋊C4—21no—
615Dic59⋊C4—21no—
616Dic59⋊C4—21no—
617Dic59⋊C4—21no—
618Dic59⋊C4—21no—
619Dic59⋊C4—21no—
620Dic59⋊C4—21no—
621Dic59⋊C4—21no—
622Dic59⋊C4—21no—
623Dic59⋊C4—21no—
624Dic59⋊C4—21no—
625Dic59⋊C4—21no—
626Dic59⋊C4—21no—
627Dic59⋊C4—21no—
628Dic59⋊C4—21no—
629Dic59⋊C4—21no—
630Dic59⋊C4—21no—
631Dic59⋊C4—21no—
632Dic59⋊C4—21no—
633Dic59⋊C4—21no—
634Dic59⋊C4—21no—
635Dic59⋊C4—21no—
636Dic59⋊C4—21no—
637Dic59⋊C4—21no—
638Dic59⋊C4C2×D411yescharacteristic
639Dic59⋊C4C2×D411yescharacteristic
640Dic59⋊C4C2×D411yescharacteristic
641Dic59⋊C4C2×D411yescharacteristic
642Dic59⋊C4C2×D411yescharacteristic
643Dic59⋊C4C2×D411yescharacteristic
644C4×Dic59—21no—
645C4×Dic59—21no—
646C4×Dic59—21no—
647C4×Dic59—21no—
648C4×Dic59—21no—
649C4×Dic59—21no—
650C4×Dic59—21no—
651C4×Dic59—21no—
652C4×Dic59—21no—
653C4×Dic59—21no—
654C4×Dic59—21no—
655C4×Dic59—21no—
656C4×Dic59—21no—
657C4×Dic59—21no—
658C4×Dic59—21no—
659C4×Dic59C2×D411yescharacteristic
660C4×Dic59C2×D411yescharacteristic
661C4×Dic59C2×D411yescharacteristic
662C4×Dic59C2×D411yescharacteristic
663C4×Dic59C2×D411yescharacteristic
664C4×Dic59C2×D411yescharacteristic
665C4×Dic59C2411yescharacteristic
666C4×Dic59C2411yescharacteristic
667C4×Dic59C2411yescharacteristic
668C2×C59⋊C8C2411yescharacteristic
669C2×C59⋊C8C2411yescharacteristic
670C2×C59⋊C8C2411yescharacteristic
671C2×C59⋊C8C2411yescharacteristic
672Dic236—22no—
673Dic236—22no—
674#11745660—22no—
675C8×D59—22no—
676C8×D59—22no—
677C8×D59—22no—
678C8×D59—22no—
679C23×C59—21no—
680C22×D59—21no—
681C22×D59—42no—
682C22×D59—42no—
683C22×D59—42no—
684C22×D59C22×D411yescharacteristic
685Q8×C59—21no—
686Q8×C59—21no—
687Q8×C59—21no—
688Q8×C59—21no—
689Q8×C59—21no—
690Q8×C59—41no—
691Q8×C59—42no—
692Q8×C59C2×#4112yes—
693D4×C59—21no—
694D4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—42no—
703C2×C4×C59C22×D411yescharacteristic
704C2×C4×C59C22×D411yescharacteristic
705C2×C4×C59C22×D411yescharacteristic
706C2×C4×C59C22×D411yescharacteristic
707C2×C4×C59C22×D411yescharacteristic
708C2×C4×C59C22×D411yescharacteristic
709C2×C4×C59C2511yescharacteristic
710C22⋊D59—42no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—42no—
719C2×Dic59C22×D411yescharacteristic
720C2×Dic59C22×D411yescharacteristic
721C2×Dic59C22×D411yescharacteristic
722C2×Dic59C22×D411yescharacteristic
723C2×Dic59C22×D411yescharacteristic
724C2×Dic59C22×D411yescharacteristic
725C2×Dic59C22×D411yescharacteristic
726D236—21no—
727D236—21no—
728C4×D59—24no—
729C4×D59—22no—
730C4×D59—22no—
731C4×D59—22no—
732C4×D59—22no—
733C4×D59—22no—
734C4×D59—22no—
735C4×D59—42no—
736C4×D59—42no—
737C4×D59—42no—
738C4×D59—42no—
739C4×D59—42no—
740C4×D59—42no—
741C4×D59—42no—
742C4×D59—42no—
743C4×D59C2×#4112yes—
744C4×D592−1+412yes—
745Dic118—21no—
746Dic118—24no—
747Dic118—21no—
748Dic118—21no—
749Dic118—21no—
750Dic118—21no—
751Dic118—41no—
752Dic118—41no—
753Dic118—41no—
754Dic118—42no—
755Dic118—42no—
756Dic118—42no—
757Dic118—42no—
758Dic118—42no—
759Dic118C2×#4112yes—
760C8×C59—21no—
761C8×C59—21no—
762C8×C59—21no—
763C8×C59—21no—
764C59⋊C8—21no—
765C59⋊C8—21no—
766C59⋊C8—21no—
767C59⋊C8—21no—
768C2×#3377—591nomaximal, Sylow
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59C23×D411yescharacteristic
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—84no—
777C2×D59#54812yes—
778C2×D59#57512yes—
779C2×D59#57812yes—
780C4×C59—22no—
781C4×C59—21no—
782C4×C59—21no—
783C4×C59—21no—
784C4×C59—21no—
785C4×C59—21no—
786C4×C59—21no—
787C4×C59—41no—
788C4×C59—41no—
789C4×C59—41no—
790C4×C59—41no—
791C4×C59—41no—
792C4×C59—41no—
793C4×C59C22×#4111yescharacteristic
794C4×C59C2×2−1+411yescharacteristic
795Dic59—22no—
796Dic59—21no—
797Dic59—21no—
798Dic59—21no—
799Dic59—21no—
800Dic59—21no—
801Dic59—21no—
802Dic59—41no—
803Dic59—41no—
804Dic59—41no—
805Dic59—41no—
806Dic59—41no—
807Dic59—41no—
808Dic59#54812yes—
809C2×#557—591no—
810C2×#556—591no—
811#3377—591no—
812#3377—591no—
813#3377—591no—
814#3377—591no—
815#3377—591no—
816#3377—591no—
817#3377—591no—
818#3377—591no—
819#3377—591no—
820#3377—591no—
821#3377—591no—
822#3377—591no—
823#3377—591no—
824#3377—591no—
825#3377—591no—
826#3377D5911yescharacteristic, direct product factor
827C2×#491—591no—
828C2×#489—591no—
829C2×#488—591no—
830C2×#479—591no—
831C2×#477—591no—
832C2×#478—591no—
833C2×#464—591no—
834C2×#464—591no—
835C2×#462—591no—
836C2×#446—591no—
837C2×#441—591no—
838C2×#440—591no—
839C2×C4×Q16—591no—
840C2×C59—81no—
841C2×C59C2×#54811yescharacteristic
842C2×C59C2×#57511yescharacteristic
843C2×C59C2×#57811yescharacteristic
844D59—81no—
845D59#337714yesdirect product factor
846C22×Q16—591no—
847C22×Q16—591no—
848C22×SD16—591no—
849#557—591no—
850#557—591no—
851#557—591no—
852#557—591no—
853#557—591no—
854#557—591no—
855#557—591no—
856#557—1181no—
857#557—1181no—
858#557—1181no—
859#557—1181no—
860#557C2×D5911yescharacteristic, complemented
861#556—591no—
862#556—591no—
863#556—591no—
864#556—591no—
865#556—591no—
866#556—591no—
867#556—591no—
868#556—1181no—
869#556—1181no—
870#556—1181no—
871#556—1181no—
872#556C2×D5911yescharacteristic
873C2×C4⋊Q8—591no—
874C2×C4⋊Q8—591no—
875C2×C4⋊Q8—1181no—
876C2×#126—1181no—
877C2×#126—1181no—
878C2×#125—591no—
879C2×#125—591no—
880C2×#125—1181no—
881C2×#125—1181no—
882C2×#124—591no—
883C2×#124—591no—
884C2×C22⋊Q8—1181no—
885C2×C4×Q8—591no—
886C2×C4×Q8—591no—
887C2×C4×Q8—591no—
888C2×C4×Q8—591no—
889C2×C4×Q8—591no—
890C2×C4×Q8—591no—
891C2×C4×Q8—1181no—
892C2×C4×D4—591no—
893C2×#117—1181no—
894#491—591no—
895#491—591no—
896#491—591no—
897#491—591no—
898#491—591no—
899#491—591no—
900#491—591no—
901#491C2×D5911yescharacteristic, complemented
902#489—591no—
903#489—591no—
904#489—591no—
905#489—591no—
906#489—591no—
907#489—591no—
908#489—591no—
909#489C2×D5911yescharacteristic
910#488—591no—
911#488—591no—
912#488—591no—
913#488—591no—
914#488—591no—
915#488—591no—
916#488—591no—
917#488C2×D5911yescharacteristic
918#479—591no—
919#479—591no—
920#479—591no—
921#479—591no—
922#479—591no—
923#479—591no—
924#479—591no—
925#479C2×D5911yescharacteristic, complemented
926#478—591no—
927#478—591no—
928#478—591no—
929#478—591no—
930#478—591no—
931#478—591no—
932#478—591no—
933#478C2×D5911yescharacteristic
934#477—591no—
935#477—591no—
936#477—591no—
937#477—591no—
938#477—591no—
939#477—591no—
940#477—591no—
941#477C2×D5911yescharacteristic, complemented
942#464—591no—
943#464—591no—
944#464—591no—
945#464—591no—
946#464—591no—
947#464—591no—
948#464—591no—
949#464—591no—
950#464—591no—
951#464—591no—
952#464—591no—
953#464—591no—
954#464—591no—
955#464—591no—
956#464C2×D5911yescharacteristic
957#464C2×D5911yescharacteristic
958#462—591no—
959#462—591no—
960#462—591no—
961#462—591no—
962#462—591no—
963#462—591no—
964#462—591no—
965#462C2×D5911yescharacteristic, complemented
966#446—591no—
967#446—591no—
968#446—591no—
969#446—591no—
970#446—591no—
971#446—591no—
972#446—591no—
973#446C2×D5911yescharacteristic, complemented
974#441—591no—
975#441—591no—
976#441—591no—
977#441—591no—
978#441—591no—
979#441—591no—
980#441—591no—
981#441C2×D5911yescharacteristic, complemented
982#440—591no—
983#440—591no—
984#440—591no—
985#440—591no—
986#440—591no—
987#440—591no—
988#440—591no—
989#440C2×D5911yescharacteristic
990C4×Q16—591no—
991C4×Q16—591no—
992C4×Q16—591no—
993C4×Q16—591no—
994C4×Q16—591no—
995C4×Q16—591no—
996C4×Q16—591no—
997C4×Q16C2×D5911yescharacteristic, complemented
998C2×#107—591no—
999C2×#107—591no—
1000C2×#106—591no—
1001C2×C4⋊C8—591no—
1002C2×C4⋊C8—591no—
1003C2×C4⋊C8—591no—
1004C2×#103—591no—
1005C2×#103—591no—
1006C2×#103—591no—
1007C2×#103—591no—
1008C2×#103—591no—
1009C2×#103—591no—
1010C2×#103—591no—
1011C2×#102—591no—
1012C2×#102—591no—
1013C2×#102—591no—
1014C2×#97—591no—
1015C2×#97—591no—
1016C2×C4×C8—591no—
1017C59C2×#337711yescharacteristic, complemented, Sylow
1018C22×Q8—591no—
1019C22×Q8—591no—
1020C22×Q8—591no—
1021C22×Q8—591no—
1022C22×Q8—1181no—
1023C22×D4—591no—
1024C23×C4—1181no—
1025C2×Q16—591no—
1026C2×Q16—591no—
1027C2×Q16—591no—
1028C2×Q16—591no—
1029C2×Q16—591no—
1030C2×Q16—591no—
1031C2×Q16—1184no—
1032C2×Q16—1184no—
1033C2×Q16C22×D5911yescharacteristic
1034C2×Q16C22×D5911yescharacteristic
1035C2×SD16—591no—
1036C2×SD16—591no—
1037C2×SD16—591no—
1038C2×SD16—1184no—
1039C2×SD16C22×D5911yescharacteristic
1040C22×C8—591no—
1041C22×C8—591no—
1042C22×C8—591no—
1043C22×C8—591no—
1044C4⋊Q8—21no—
1045C4⋊Q8—591no—
1046C4⋊Q8—591no—
1047C4⋊Q8—591no—
1048C4⋊Q8—591no—
1049C4⋊Q8—591no—
1050C4⋊Q8—591no—
1051C4⋊Q8—1181no—
1052C4⋊Q8—1181no—
1053C4⋊Q8—1181no—
1054C4⋊Q8—1181no—
1055C4⋊Q8—1181no—
1056C4⋊Q8—1181no—
1057C4⋊Q8—1181no—
1058C4⋊Q8—1181no—
1059C4⋊Q8—1181no—
1060C4⋊Q8—1181no—
1061C4⋊Q8—1181no—
1062C4⋊Q8C22×D5911yescharacteristic
1063C4⋊Q8C22×D5911yescharacteristic
1064#126—21no—
1065#126—21no—
1066#126—1181no—
1067#126—1181no—
1068#126—1181no—
1069#126—1181no—
1070#126—1181no—
1071#126—1181no—
1072#126—1181no—
1073#126—1181no—
1074#126—1181no—
1075#126—1181no—
1076#126—1181no—
1077#126—1181no—
1078#126—1181no—
1079#126—1181no—
1080#125—21no—
1081#125—21no—
1082#125—591no—
1083#125—591no—
1084#125—591no—
1085#125—591no—
1086#125—591no—
1087#125—591no—
1088#125—1181no—
1089#125—1181no—
1090#125—1181no—
1091#125—1181no—
1092#125—1181no—
1093#125—1181no—
1094#125—1181no—
1095#125—1181no—
1096#125—1181no—
1097#125—1181no—
1098#125—1181no—
1099#125—1181no—
1100#125—1181no—
1101#125—1181no—
1102#125—1181no—
1103#125—1181no—
1104#125—1181no—
1105#125—1181no—
1106#125C22×D5911yescharacteristic
1107#125C22×D5911yescharacteristic
1108#124—591no—
1109#124—591no—
1110#124—591no—
1111#124—591no—
1112#124—591no—
1113#124—591no—
1114#124—1181no—
1115#124—1181no—
1116#124—1181no—
1117#124—1181no—
1118#124C22×D5911yescharacteristic
1119#124C22×D5911yescharacteristic
1120C22⋊Q8—21no—
1121C22⋊Q8—1181no—
1122C22⋊Q8—1181no—
1123C22⋊Q8—1181no—
1124C22⋊Q8—1181no—
1125C22⋊Q8—1181no—
1126C22⋊Q8—1181no—
1127C22⋊Q8—1181no—
1128C4×Q8—21no—
1129C4×Q8—591no—
1130C4×Q8—591no—
1131C4×Q8—591no—
1132C4×Q8—591no—
1133C4×Q8—591no—
1134C4×Q8—591no—
1135C4×Q8—591no—
1136C4×Q8—591no—
1137C4×Q8—591no—
1138C4×Q8—591no—
1139C4×Q8—591no—
1140C4×Q8—591no—
1141C4×Q8—591no—
1142C4×Q8—591no—
1143C4×Q8—591no—
1144C4×Q8—591no—
1145C4×Q8—591no—
1146C4×Q8—591no—
1147C4×Q8—591no—
1148C4×Q8—591no—
1149C4×Q8—591no—
1150C4×Q8—591no—
1151C4×Q8—1181no—
1152C4×Q8—1181no—
1153C4×Q8—1181no—
1154C4×Q8—1181no—
1155C4×Q8—1181no—
1156C4×Q8—1181no—
1157C4×Q8—1181no—
1158C4×Q8—1181no—
1159C4×Q8—1181no—
1160C4×Q8—1181no—
1161C4×Q8—1181no—
1162C4×Q8—1181no—
1163C4×Q8—1181no—
1164C4×Q8—1181no—
1165C4×Q8—1181no—
1166C4×Q8—1181no—
1167C4×Q8—1181no—
1168C4×Q8C22×D5911yescharacteristic
1169C4×Q8C22×D5911yescharacteristic
1170C4×Q8C22×D5911yescharacteristic
1171C4×Q8C22×D5911yescharacteristic
1172C4×Q8C22×D5911yescharacteristic
1173C4×Q8C22×D5911yescharacteristic
1174C4×D4—591no—
1175C4×D4—591no—
1176C4×D4—591no—
1177C4×D4—1181no—
1178C4×D4—1181no—
1179C4×D4C22×D5911yescharacteristic
1180#117—21no—
1181#117—1181no—
1182#117—1181no—
1183#117—1181no—
1184#117—1181no—
1185#117—1181no—
1186#117—1181no—
1187#117—1181no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—1181no—
1196C2×C4⋊C4—1181no—
1197C2×C4⋊C4—1181no—
1198C2×C4⋊C4—1181no—
1199C2×C4⋊C4—1181no—
1200C2×C4⋊C4—1181no—
1201C2×C4⋊C4—1181no—
1202C2×C4⋊C4—1181no—
1203C2×C4⋊C4—1181no—
1204C2×C4⋊C4—1181no—
1205C2×C4⋊C4—1181no—
1206C2×C4⋊C4—1181no—
1207C2×C22⋊C4—1181no—
1208C2×C22⋊C4—1181no—
1209C2×C22⋊C4—1181no—
1210C2×C22⋊C4—1181no—
1211C2×C22⋊C4—1181no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—591no—
1215C2×C42—1181no—
1216C2×C42—1181no—
1217C2×C42—1181no—
1218C2×C42—1181no—
1219C2×C42—1181no—
1220#107—591no—
1221#107—591no—
1222#107—591no—
1223#107—591no—
1224#107—591no—
1225#107—591no—
1226#107C22×D5911yescharacteristic
1227#107C22×D5911yescharacteristic
1228#106—591no—
1229#106—591no—
1230#106—591no—
1231#106C22×D5911yescharacteristic
1232C4⋊C8—591no—
1233C4⋊C8—591no—
1234C4⋊C8—591no—
1235C4⋊C8—591no—
1236C4⋊C8—591no—
1237C4⋊C8—591no—
1238C4⋊C8—591no—
1239C4⋊C8—591no—
1240C4⋊C8—591no—
1241C4⋊C8C22×D5911yescharacteristic
1242C4⋊C8C22×D5911yescharacteristic
1243C4⋊C8C22×D5911yescharacteristic
1244#103—591no—
1245#103—591no—
1246#103—591no—
1247#103—591no—
1248#103—591no—
1249#103—591no—
1250#103—591no—
1251#103—591no—
1252#103—591no—
1253#103—591no—
1254#103—591no—
1255#103—591no—
1256#103—591no—
1257#103—591no—
1258#103—591no—
1259#103—591no—
1260#103—591no—
1261#103—591no—
1262#103—591no—
1263#103—591no—
1264#103—591no—
1265#103C22×D5911yescharacteristic
1266#103C22×D5911yescharacteristic
1267#103C22×D5911yescharacteristic
1268#103C22×D5911yescharacteristic
1269#103C22×D5911yescharacteristic
1270#103C22×D5911yescharacteristic
1271#103C22×D5911yescharacteristic
1272#102—591no—
1273#102—591no—
1274#102—591no—
1275#102—591no—
1276#102—591no—
1277#102—591no—
1278#102—591no—
1279#102—591no—
1280#102—591no—
1281#102C22×D5911yescharacteristic
1282#102C22×D5911yescharacteristic
1283#102C22×D5911yescharacteristic
1284#97—591no—
1285#97—591no—
1286#97—591no—
1287#97—591no—
1288#97—591no—
1289#97—591no—
1290#97C22×D5911yescharacteristic
1291#97C22×D5911yescharacteristic
1292C4×C8—591no—
1293C4×C8—591no—
1294C4×C8—591no—
1295C4×C8C22×D5911yescharacteristic
1296C24—1181no—
1297C2×Q8—21no—
1298C2×Q8—591no—
1299C2×Q8—591no—
1300C2×Q8—591no—
1301C2×Q8—594no—
1302C2×Q8—591no—
1303C2×Q8—591no—
1304C2×Q8—591no—
1305C2×Q8—1181no—
1306C2×Q8—1181no—
1307C2×Q8—1181no—
1308C2×Q8—1181no—
1309C2×Q8—1181no—
1310C2×Q8—1182no—
1311C2×Q8—1182no—
1312C2×Q8—1182no—
1313C2×Q8—1182no—
1314C2×Q8—1182no—
1315C2×Q8—1181no—
1316C2×Q8—2362no—
1317C2×Q8—2364no—
1318C2×Q8D4×D5911yescharacteristic
1319C2×Q8C23×D5911yescharacteristic
1320C2×Q8C23×D5911yescharacteristic
1321C2×Q8C23×D5911yescharacteristic
1322C2×D4—591no—
1323C2×D4—1182no—
1324C2×D4—1182no—
1325C2×D4—1181no—
1326C2×D4C23×D5911yescharacteristic
1327C22×C4—21no—
1328C22×C4—591no—
1329C22×C4—591no—
1330C22×C4—591no—
1331C22×C4—591no—
1332C22×C4—591no—
1333C22×C4—591no—
1334C22×C4—591no—
1335C22×C4—1181no—
1336C22×C4—1181no—
1337C22×C4—1181no—
1338C22×C4—1181no—
1339C22×C4—1181no—
1340C22×C4—1181no—
1341C22×C4—1181no—
1342C22×C4—1181no—
1343C22×C4—1181no—
1344C22×C4—1181no—
1345C22×C4—2364no—
1346Q16—22no—
1347Q16—22no—
1348Q16—1182no—
1349Q16—1182no—
1350Q16—1182no—
1351Q16—1182no—
1352Q16—1182no—
1353Q16—1182no—
1354SD16—22no—
1355SD16—1182no—
1356SD16—1182no—
1357SD16—1182no—
1358C2×C8—591no—
1359C2×C8—591no—
1360C2×C8—591no—
1361C2×C8—591no—
1362C2×C8—1182no—
1363C2×C8—1182no—
1364C2×C8—1182no—
1365C2×C8—1182no—
1366C2×C8C23×D5911yescharacteristic
1367C2×C8C23×D5911yescharacteristic
1368C2×C8C23×D5911yescharacteristic
1369C2×C8C23×D5911yescharacteristic
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—591no—
1383C4⋊C4—591no—
1384C4⋊C4—591no—
1385C4⋊C4—591no—
1386C4⋊C4—591no—
1387C4⋊C4—591no—
1388C4⋊C4—591no—
1389C4⋊C4—591no—
1390C4⋊C4—591no—
1391C4⋊C4—591no—
1392C4⋊C4—591no—
1393C4⋊C4—591no—
1394C4⋊C4—591no—
1395C4⋊C4—1181no—
1396C4⋊C4—1181no—
1397C4⋊C4—1181no—
1398C4⋊C4—1181no—
1399C4⋊C4—1181no—
1400C4⋊C4—1181no—
1401C4⋊C4—1181no—
1402C4⋊C4—1181no—
1403C4⋊C4—1181no—
1404C4⋊C4—1181no—
1405C4⋊C4—1181no—
1406C4⋊C4—1181no—
1407C4⋊C4—1181no—
1408C4⋊C4—1181no—
1409C4⋊C4—1181no—
1410C4⋊C4—1181no—
1411C4⋊C4—1181no—
1412C4⋊C4—1181no—
1413C4⋊C4—1181no—
1414C4⋊C4—1181no—
1415C4⋊C4—1181no—
1416C4⋊C4—1181no—
1417C4⋊C4—1181no—
1418C4⋊C4—1181no—
1419C4⋊C4—1181no—
1420C4⋊C4—1181no—
1421C4⋊C4—1181no—
1422C4⋊C4—1181no—
1423C4⋊C4—1181no—
1424C4⋊C4—1181no—
1425C4⋊C4—1181no—
1426C4⋊C4—1181no—
1427C4⋊C4—1181no—
1428C4⋊C4—1181no—
1429C4⋊C4—1181no—
1430C4⋊C4—1181no—
1431C4⋊C4—1181no—
1432C4⋊C4—1181no—
1433C4⋊C4—1181no—
1434C4⋊C4—1181no—
1435C4⋊C4D4×D5911yescharacteristic
1436C4⋊C4D4×D5911yescharacteristic
1437C4⋊C4D4×D5911yescharacteristic
1438C4⋊C4C23×D5911yescharacteristic
1439C4⋊C4C23×D5911yescharacteristic
1440C4⋊C4C23×D5911yescharacteristic
1441C4⋊C4C23×D5911yescharacteristic
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—21no—
1445C22⋊C4—21no—
1446C22⋊C4—21no—
1447C22⋊C4—1181no—
1448C22⋊C4—1181no—
1449C22⋊C4—1181no—
1450C22⋊C4—1181no—
1451C22⋊C4—1181no—
1452C22⋊C4—1181no—
1453C22⋊C4—1181no—
1454C22⋊C4—1181no—
1455C22⋊C4—1181no—
1456C22⋊C4—1181no—
1457C22⋊C4—1181no—
1458C22⋊C4—1181no—
1459C22⋊C4—1181no—
1460C22⋊C4—1181no—
1461C22⋊C4—1181no—
1462C42—21no—
1463C42—21no—
1464C42—21no—
1465C42—21no—
1466C42—21no—
1467C42—591no—
1468C42—591no—
1469C42—591no—
1470C42—591no—
1471C42—591no—
1472C42—591no—
1473C42—591no—
1474C42—591no—
1475C42—591no—
1476C42—1181no—
1477C42—1181no—
1478C42—1181no—
1479C42—1181no—
1480C42—1181no—
1481C42—1181no—
1482C42—1181no—
1483C42—1181no—
1484C42—1181no—
1485C42—1181no—
1486C42—1181no—
1487C42—1181no—
1488C42—1181no—
1489C42—1181no—
1490C42—1181no—
1491C42C23×D5911yescharacteristic
1492C42C23×D5911yescharacteristic
1493C42C23×D5911yescharacteristic
1494C23—21no—
1495C23—591no—
1496C23—1181no—
1497C23—2362no—
1498C23—2362no—
1499C23—2362no—
1500Q8—21no—
1501Q8—21no—
1502Q8—21no—
1503Q8—21no—
1504Q8—21no—
1505Q8—41no—
1506Q8—42no—
1507Q8—592no—
1508Q8—1184no—
1509Q8—1181no—
1510Q8—1181no—
1511Q8—1181no—
1512Q8—1181no—
1513Q8—1181no—
1514Q8—2361no—
1515Q8—2361no—
1516Q8—2361no—
1517Q8—2362no—
1518Q8—2362no—
1519Q8—2362no—
1520Q8—2362no—
1521Q8—2362no—
1522Q8#41×D5912yes—
1523D4—21no—
1524D4—21no—
1525D4—1181no—
1526D4—1181no—
1527D4—2362no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—42no—
1536C2×C4—591no—
1537C2×C4—592no—
1538C2×C4—592no—
1539C2×C4—591no—
1540C2×C4—591no—
1541C2×C4—591no—
1542C2×C4—591no—
1543C2×C4—591no—
1544C2×C4—591no—
1545C2×C4—1182no—
1546C2×C4—1182no—
1547C2×C4—1182no—
1548C2×C4—1182no—
1549C2×C4—1182no—
1550C2×C4—1182no—
1551C2×C4—1184no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—2362no—
1560C2×C4—2362no—
1561C2×C4—2362no—
1562C2×C4—2362no—
1563C2×C4—2362no—
1564C2×C4—2362no—
1565C2×C4—2362no—
1566C2×C4—2362no—
1567C2×C4—2362no—
1568C2×C4C2×D4×D5911yescharacteristic
1569C2×C4C2×D4×D5911yescharacteristic
1570C2×C4C2×D4×D5911yescharacteristic
1571C2×C4C2×D4×D5911yescharacteristic
1572C2×C4C2×D4×D5911yescharacteristic
1573C2×C4C2×D4×D5911yescharacteristic
1574C2×C4C24×D5911yescharacteristic
1575C8—21no—
1576C8—21no—
1577C8—21no—
1578C8—21no—
1579C8—1181no—
1580C8—1181no—
1581C8—1181no—
1582C8—1181no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—592no—
1587C22—592no—
1588C22—592no—
1589C22—4724no—
1590C22—2361no—
1591C22—2361no—
1592C22—2361no—
1593C22C22×D4×D5911yescharacteristic
1594C4—22no—
1595C4—21no—
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—592no—
1608C4—1182no—
1609C4—1181no—
1610C4—1181no—
1611C4—1181no—
1612C4—1181no—
1613C4—1181no—
1614C4—1181no—
1615C4—2361no—
1616C4—2361no—
1617C4—2361no—
1618C4—2361no—
1619C4—2361no—
1620C4—2361no—
1621C4C2×#41×D5911yescharacteristic
1622C42−1+4×D5911yescharacteristic
1623C2—81no—
1624C2—594no—
1625C2—4721no—
1626C2#548×D5911yescharacteristic
1627C2#575×D5911yescharacteristic
1628C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3377C2
socleC22×C59C23×D4
prime radicalC2×D4×D59C23
hypercenter#3377D59
hypocenterC59C2×#3377
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3377

Complements

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

NH ≅ G/Ntype
1. #557×D59C2semidirect
3. #21436945C2semidirect
4. #21436944C2semidirect
5. #21436943C2semidirect
6. #21436942C2semidirect
7. #21436941C2semidirect
8. #21436940C2semidirect
9. #21436939C2semidirect
10. #21436938C2semidirect
11. #21436937C2semidirect
12. #21436936C2semidirect
13. #21436935C2semidirect
14. #21436934C2semidirect
15. #21436933C2semidirect
16. #21436932C2semidirect
17. #21436931C2semidirect
18. #491×D59C2semidirect
21. #479×D59C2semidirect
22. #477×D59C2semidirect
26. #462×D59C2semidirect
27. #446×D59C2semidirect
28. #441×D59C2semidirect
30. C4×Q16×D59C2semidirect
31. C59×#3377C2semidirect
35. #16838131C22semidirect
37. #16838130C22semidirect
40. #16838129C22semidirect
41. #16838129C22semidirect
42. #16838128C22semidirect
43. #16838128C22semidirect
45. #16838127C22semidirect
78. #16837772C22semidirect
79. #16837771C22semidirect
80. #16837770C22semidirect
81. #16837769C22semidirect
82. #16837769C22semidirect
83. #16837769C22semidirect
84. #16837769C22semidirect
99. #16837712C22semidirect
100. #16837711C22semidirect
101. #16837710C22semidirect
102. #16837709C22semidirect
103. #16837708C22semidirect
104. #16837707C22semidirect
105. #16837706C22semidirect
113. #16837698C22semidirect
114. #16837697C22semidirect
115. #16837696C22semidirect
116. #16837696C22semidirect
117. #16837695C22semidirect
118. #16837695C22semidirect
119. #16837694C22semidirect
134. #16837613C22semidirect
135. #16837612C22semidirect
136. #16837611C22semidirect
137. #16837611C22semidirect
138. #16837610C22semidirect
139. #16837610C22semidirect
140. #16837609C22semidirect
141. #16837533C22semidirect
142. #16837532C22semidirect
143. #16837531C22semidirect
144. #16837531C22semidirect
145. #16837530C22semidirect
146. #16837530C22semidirect
147. #16837529C22semidirect
148. #16837510C22semidirect
149. #16837509C22semidirect
150. #16837508C22semidirect
151. #16837507C22semidirect
152. #16837507C22semidirect
153. #16837506C22semidirect
154. #16837506C22semidirect
162. C4×Dic236C22semidirect
163. Q16×Dic59C22semidirect
164. #16837496C22semidirect
165. C4×#11745672C22semidirect
166. C4×#11745672C22semidirect
167. #16837494C22semidirect
168. #16837494C22semidirect
188. C59×#557C22semidirect
190. C59×#491C22semidirect
193. C59×#479C22semidirect
195. C59×#477C22semidirect
198. C59×#462C22semidirect
199. C59×#446C22semidirect
200. C59×#441C22semidirect
202. C4×Q16×C59C22semidirect
826. #3377D59direct (N × H)
845. D59#3377direct (N × H)
860. #557C2×D59semidirect
901. #491C2×D59semidirect
925. #479C2×D59semidirect
941. #477C2×D59semidirect
965. #462C2×D59semidirect
973. #446C2×D59semidirect
981. #441C2×D59semidirect
997. C4×Q16C2×D59semidirect
1017. C59C2×#3377semidirect

Maximal subgroups

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

subgroupindex
#557×D592
#556×D592
#214369452
#214369442
#214369432
#214369422
#214369412
#214369402
#214369392
#214369382
#214369372
#214369362
#214369352
#214369342
#214369332
#214369322
#214369312
#491×D592
#489×D592
#488×D592
#479×D592
#477×D592
#478×D592
#464×D592
#462×D592
#446×D592
#441×D592
#440×D592
C4×Q16×D592
C59×#33772
C2×#337759