Finite Group Databasebeta

← #29470679

Subgroups — #29470679

Order 15104.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437702C211yesmaximal, characteristic, complemented
2#21437652C211yesmaximal, characteristic, complemented
3#21437168C211yesmaximal, characteristic, complemented
4#21437057C211yesmaximal, characteristic, complemented
5#21436929C211yesmaximal, characteristic, complemented
6#21436855C211yesmaximal, characteristic, complemented
7#21436591C211yesmaximal, characteristic, complemented
8#21436546C211yesmaximal, characteristic, complemented
9#21436474C211yesmaximal, characteristic, complemented
10#21436247C211yesmaximal, characteristic, complemented
11#21436172C211yesmaximal, characteristic, complemented
12#21436112C211yesmaximal, characteristic, complemented
13#21436067C211yesmaximal, characteristic, complemented
14#21435945C211yesmaximal, characteristic, complemented
15#21435930C211yesmaximal, characteristic, complemented
16#21435780C211yesmaximal, characteristic, complemented
17#21435628C211yesmaximal, characteristic, complemented
18#21435583C211yesmaximal, characteristic, complemented
19#21434803C211yesmaximal, characteristic, complemented
20#21434792C211yesmaximal, characteristic, complemented
21#21434245C211yesmaximal, characteristic, complemented
22#21434238C211yesmaximal, characteristic, complemented
23#21434230C211yesmaximal, characteristic, complemented
24#21434203C211yesmaximal, characteristic, complemented
25#21434199C211yesmaximal, characteristic, complemented
26#21434193C211yesmaximal, characteristic, complemented
27#21433111C211yesmaximal, characteristic, complemented
28C4×#14273755C211yesmaximal, characteristic, complemented
29#21432895C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3183C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273750C2211yescharacteristic
34C2×D8×D59C2211yescharacteristic
35#16838134C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838116C2211yescharacteristic, complemented
38#16838110C2211yescharacteristic
39#16838108C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic, complemented
41#16838105C2211yescharacteristic
42#16838104C2211yescharacteristic, complemented
43#16838103—21no—
44#16838097—21no—
45#16838090C2211yescharacteristic, complemented
46#16838088—21no—
47#16838086C2211yescharacteristic
48#16838080—21no—
49#16838077—21no—
50#16838077—21no—
51#16838075—21no—
52#16838054C2211yescharacteristic, complemented
53#16838049C2211yescharacteristic
54#16838045C2211yescharacteristic
55#16838045C2211yescharacteristic, complemented
56#16838044—21no—
57#16838043C2211yescharacteristic, complemented
58#16838036C2211yescharacteristic
59#16837956C2211yescharacteristic, complemented
60#16837949C2211yescharacteristic, complemented
61#16837939C2211yescharacteristic
62#16837934—21no—
63#16837934C2211yescharacteristic, complemented
64#16837930—21no—
65#16837930—21no—
66#16837914—21no—
67#16837911—21no—
68#16837911—21no—
69C4×#11745689C2211yescharacteristic, complemented
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic, complemented
73C2×C4×D236C2211yescharacteristic, complemented
74C4×D4×D59—21no—
75C4×D4×D59C2211yescharacteristic
76C4×D4×D59C2211yescharacteristic, complemented
77#117×D59—21no—
78#16837809C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837795C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic
82#16837769C2211yescharacteristic, complemented
83#16837765C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837745C2211yescharacteristic, complemented
87#16837740C2211yescharacteristic, complemented
88#16837739C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837731C2211yescharacteristic, complemented
91#16837730C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837725C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837723C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic
97#16837713C2211yescharacteristic, complemented
98#16837711C2211yescharacteristic, complemented
99#16837706C2211yescharacteristic, complemented
100#16837705C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837704C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837699C2211yescharacteristic, complemented
105#16837699C2211yescharacteristic, complemented
106#16837685C2211yescharacteristic, complemented
107#16837681C2211yescharacteristic, complemented
108#16837681C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837642C2211yescharacteristic, complemented
111#16837640C2211yescharacteristic, complemented
112#16837637C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837634C2211yescharacteristic
115#16837632C2211yescharacteristic
116#16837632C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837616C2211yescharacteristic
123#16837614C2211yescharacteristic
124#16837614C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837606C2211yescharacteristic, complemented
127#16837605C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837596C2211yescharacteristic
130#16837567C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837554C2211yescharacteristic
133#16837552C2211yescharacteristic, complemented
134#16837551C2211yescharacteristic
135#16837551C2211yescharacteristic, complemented
136#16837550C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic
138#16837546C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic
140#16837537C2211yescharacteristic
141#16837535C2211yescharacteristic
142#16837532C2211yescharacteristic, complemented
143#16837532C2211yescharacteristic, complemented
144#16837515C2211yescharacteristic
145#16837515C2211yescharacteristic, complemented
146#16837514C2211yescharacteristic, complemented
147#16837513C2211yescharacteristic
148#16837513C2211yescharacteristic
149#16837512C2211yescharacteristic
150#16837512C2211yescharacteristic, complemented
151#16837512C2211yescharacteristic, complemented
152#16837511C2211yescharacteristic
153#16837511C2211yescharacteristic, complemented
154#16837509C2211yescharacteristic, complemented
155#16837507C2211yescharacteristic, complemented
156#16837505C2211yescharacteristic, complemented
157#16837505C2211yescharacteristic, complemented
158#16837504C2211yescharacteristic, complemented
159#16837504C2211yescharacteristic, complemented
160#16837502C2211yescharacteristic, complemented
161#16837500C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163#16837500C2211yescharacteristic, complemented
164C4×#11745660C2211yescharacteristic, complemented
165C4×#11745660C2211yescharacteristic, complemented
166C4×D472C2211yescharacteristic
167C4×D472C2211yescharacteristic, complemented
168#16837471C2211yescharacteristic
169#16837471C2211yescharacteristic
170#16837471C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172C8×D236C2211yescharacteristic, complemented
173C8×D236C2211yescharacteristic, complemented
174#16837459C2211yescharacteristic, complemented
175#16837457C2211yescharacteristic, complemented
176#16837457C2211yescharacteristic, complemented
177#16837444C2211yescharacteristic, complemented
178#16837437C2211yescharacteristic, complemented
179#106×D59C2211yescharacteristic, complemented
180#16837408C2211yescharacteristic, complemented
181#16837404C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837397C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic
185#102×D59C2211yescharacteristic, complemented
186#97×D59C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic, complemented
189C59×#529C2211yescharacteristic, complemented
190C59×#499C2211yescharacteristic, complemented
191C59×#495C2211yescharacteristic, complemented
192C59×#488C2211yescharacteristic, complemented
193C59×#488C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#469C2211yescharacteristic
196C59×#468C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#442C2211yescharacteristic, complemented
199C59×#441C2211yescharacteristic, complemented
200C59×#440C2211yescharacteristic, complemented
201C59×#440C2211yescharacteristic, complemented
202C4×M16×C59C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685D411yescharacteristic
207C2×#11745685C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C2×D4×D59—21no—
210C2×D4×D59C2311yescharacteristic
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273755—24no—
216#14273750—24no—
217C2×#11745672C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745660C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745671C2311yescharacteristic
224C2×D472C2311yescharacteristic
225C2×D472C2311yescharacteristic
226C2×#11745669C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229D8×D59—24no—
230C2×C8×D59C2311yescharacteristic
231C2×C8×D59C2311yescharacteristic
232C2×C8×D59C2311yescharacteristic
233C2×C8×D59C2311yescharacteristic
234#14273726C2311yescharacteristic
235#14273726C2311yescharacteristic
236#14273725C2311yescharacteristic
237#14273723C2311yescharacteristic
238#14273722—21no—
239#14273722—21no—
240#14273722—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273718—21no—
247#14273718C2311yescharacteristic
248#14273718C2311yescharacteristic
249#14273717—21no—
250#14273717—21no—
251#14273717—21no—
252#14273716C2311yescharacteristic
253#14273714—21no—
254#14273714C2311yescharacteristic
255#14273713—21no—
256#14273713—21no—
257#14273713—21no—
258#14273712—21no—
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273711—21no—
264#14273711—21no—
265#14273709—21no—
266#14273709—21no—
267#14273709—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273707—21no—
273#14273707—21no—
274#14273707—21no—
275#14273707C2311yescharacteristic
276#14273707C2311yescharacteristic
277#14273705—21no—
278#14273705—21no—
279#14273705—21no—
280#14273705—21no—
281#14273705—21no—
282#14273704—21no—
283#14273704—21no—
284#14273703C2311yescharacteristic
285#14273703C2311yescharacteristic
286#14273702—21no—
287#14273702—21no—
288#14273702C2311yescharacteristic
289#14273702C2311yescharacteristic
290#14273700—21no—
291#14273700—21no—
292#14273700—21no—
293#14273700—21no—
294#14273700—21no—
295#14273699—21no—
296#14273699—21no—
297#14273698—21no—
298#14273698C2311yescharacteristic
299#14273698C2311yescharacteristic
300#14273697—21no—
301#14273697—21no—
302#14273697—21no—
303#14273697—21no—
304#14273695—21no—
305#14273695—21no—
306Q8×Dic59C2311yescharacteristic
307Q8×Dic59C2311yescharacteristic
308C4×Dic118—21no—
309C4×Dic118D411yescharacteristic
310C4×Dic118C2311yescharacteristic
311C4×Dic118C2311yescharacteristic
312C4×Dic118C2311yescharacteristic
313C4×D236—21no—
314C4×D236—21no—
315C4×D236—21no—
316C4×D236—21no—
317C4×D236—21no—
318C4×D236D411yescharacteristic
319C4×D236C2311yescharacteristic
320C4×D236C2311yescharacteristic
321C4×D236C2311yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325C4×D236C2311yescharacteristic
326D4×Dic59—21no—
327D4×Dic59C2311yescharacteristic
328D4×Dic59C2311yescharacteristic
329#14273689—21no—
330#14273689—21no—
331#14273689—21no—
332#14273689C2311yescharacteristic
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336C4×C22⋊D59—21no—
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59—21no—
340C4×C22⋊D59—21no—
341C4×C22⋊D59—21no—
342C4×C22⋊D59D411yescharacteristic
343C4×C22⋊D59D411yescharacteristic
344C4×C22⋊D59C2311yescharacteristic
345C4×C22⋊D59C2311yescharacteristic
346(C22⋊D59)⋊C4—21no—
347(C22⋊D59)⋊C4—21no—
348(C22⋊D59)⋊C4—21no—
349(C22⋊D59)⋊C4—21no—
350#14273686—21no—
351#14273686D411yescharacteristic
352#14273686C2311yescharacteristic
353#14273685—21no—
354#14273685—21no—
355#14273685—21no—
356#14273685—21no—
357#14273685C2311yescharacteristic
358#14273685C2311yescharacteristic
359#14273684—21no—
360#14273684—21no—
361#14273684—21no—
362#14273684D411yescharacteristic
363#14273684D411yescharacteristic
364#14273683—21no—
365#14273683—21no—
366C2×C4⋊Dic59C2311yescharacteristic
367C4⋊C4×D59—21no—
368C4⋊C4×D59—21no—
369C4⋊C4×D59—21no—
370C4⋊C4×D59C2311yescharacteristic
371C4⋊C4×D59C2311yescharacteristic
372C2×(C2×D59)⋊C4—21no—
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C42×D59—21no—
380C42×D59—21no—
381C42×D59—21no—
382C42×D59C2311yescharacteristic
383C42×D59C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273661C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396C4⋊(C59⋊C8)C2311yescharacteristic
397C4⋊(C59⋊C8)C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273651C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273650C2311yescharacteristic
409#14273650C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430(C2×D59)⋊C8C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432#14273638C2311yescharacteristic
433#14273638C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437#14273637C2311yescharacteristic
438C2×Q16×C59C2311yescharacteristic
439C2×SD16×C59C2311yescharacteristic
440C2×SD16×C59C2311yescharacteristic
441C2×D8×C59C2311yescharacteristic
442C2×M16×C59C2311yescharacteristic
443C2×M16×C59C2311yescharacteristic
444#126×C59—21no—
445#126×C59—21no—
446#125×C59C2311yescharacteristic
447#125×C59C2311yescharacteristic
448#124×C59C2311yescharacteristic
449#124×C59C2311yescharacteristic
450#123×C59—21no—
451#123×C59—21no—
452C22⋊Q8×C59C2311yescharacteristic
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455#121×C59C2311yescharacteristic
456C4×Q8×C59C2311yescharacteristic
457C4×Q8×C59C2311yescharacteristic
458C4×D4×C59—21no—
459C4×D4×C59—21no—
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462#117×C59—21no—
463#117×C59—21no—
464C2×C42×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#107×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×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
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×Q8×C59C2411yescharacteristic
486C2×D4×C59—21no—
487C2×D4×C59—21no—
488C2×D4×C59C2411yescharacteristic
489C2×D4×C59C2411yescharacteristic
490C22×C4×C59—21no—
491C22×C4×C59—21no—
492C22×C4×C59C2×D411yescharacteristic
493C22×C4×C59C2×D411yescharacteristic
494C22×C4×C59C2411yescharacteristic
495C2×C22⋊D59—21no—
496C2×C22⋊D59—21no—
497C2×C22⋊D59—21no—
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59C2×D411yescharacteristic
503C2×C22⋊D59C2×D411yescharacteristic
504C22×Dic59—21no—
505C22×Dic59—21no—
506C22×Dic59—21no—
507#11745689—22no—
508#11745689—22no—
509#11745689—41no—
510#11745689—41no—
511D4×D59—22no—
512D4×D59—22no—
513D4×D59—41no—
514D4×D59—41no—
515D4×D59—44no—
516#11745685—22no—
517#11745685—41no—
518#11745685—42no—
519#11745685—82no—
520C2×D236—22no—
521C2×D236—21no—
522C2×D236—21no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—41no—
527C2×D236C2×D411yescharacteristic
528C2×D236C2411yescharacteristic
529C2×D236C2411yescharacteristic
530C2×D236C2411yescharacteristic
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—21no—
538C2×C4×D59—21no—
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×C4×D59—44no—
547C2×C4×D59—82no—
548C2×C4×D59—82no—
549C2×C4×D59C2×D411yescharacteristic
550C2×C4×D59C2×D411yescharacteristic
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×C4×D59C2411yescharacteristic
555C2×Dic118—21no—
556C2×Dic118—21no—
557C2×Dic118C2×D411yescharacteristic
558C2×Dic118C2411yescharacteristic
559Q16×C59—22no—
560SD16×C59—41no—
561SD16×C59—41no—
562D8×C59—22no—
563M16×C59—22no—
564M16×C59—41no—
565C2×C8×C59C2411yescharacteristic
566C2×C8×C59C2411yescharacteristic
567C2×C8×C59C2411yescharacteristic
568C2×C8×C59C2411yescharacteristic
569C4⋊C4×C59—21no—
570C4⋊C4×C59—21no—
571C4⋊C4×C59—21no—
572C4⋊C4×C59—21no—
573C4⋊C4×C59—21no—
574C4⋊C4×C59—21no—
575C4⋊C4×C59—21no—
576C4⋊C4×C59—21no—
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C42×C59—21no—
592C42×C59—21no—
593C42×C59C2×D411yescharacteristic
594C42×C59C2×D411yescharacteristic
595C42×C59C2411yescharacteristic
596C42×C59C2411yescharacteristic
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59—21no—
601C22⋊Dic59—21no—
602C22⋊Dic59—21no—
603C22⋊Dic59—21no—
604C22⋊Dic59C2×D411yescharacteristic
605C22⋊Dic59C2×D411yescharacteristic
606#11745672—41no—
607#11745671—22no—
608#11745671—22no—
609#11745671—41no—
610#11745670—41no—
611#11745669—22no—
612#11745669—22no—
613#11745669—41no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4—21no—
618(C2×D59)⋊C4—21no—
619(C2×D59)⋊C4—21no—
620(C2×D59)⋊C4—21no—
621(C2×D59)⋊C4—21no—
622(C2×D59)⋊C4—21no—
623(C2×D59)⋊C4—21no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4C2×D411yescharacteristic
635(C2×D59)⋊C4C2×D411yescharacteristic
636(C2×D59)⋊C4C2×D411yescharacteristic
637(C2×D59)⋊C4C2×D411yescharacteristic
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59—21no—
641C4⋊Dic59—21no—
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59C2×D411yescharacteristic
646C4⋊Dic59C2×D411yescharacteristic
647C4⋊Dic59C2411yescharacteristic
648C4⋊Dic59C2411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4C2×D411yescharacteristic
664Dic59⋊C4C2×D411yescharacteristic
665Dic59⋊C4C2×D411yescharacteristic
666Dic59⋊C4C2×D411yescharacteristic
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59C2×D411yescharacteristic
675C4×Dic59C2×D411yescharacteristic
676C4×Dic59C2×D411yescharacteristic
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2411yescharacteristic
679C4×Dic59C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684D472—22no—
685D472#4114yescomplemented
686#11745660—22no—
687#11745660—22no—
688C8×D59—22no—
689C8×D59—22no—
690C8×D59—41no—
691C8×D59—41no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59C22×D411yescharacteristic
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—42no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—81no—
705C22×D59—81no—
706C22×D59—81no—
707C22×D59C22×D411yescharacteristic
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711Q8×C59—21no—
712Q8×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—21no—
717D4×C59—42no—
718D4×C59—81no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—41no—
728C2×C4×C59—41no—
729C2×C4×C59—42no—
730C2×C4×C59—42no—
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C22×D411yescharacteristic
733C2×C4×C59C22×D411yescharacteristic
734C2×C4×C59C22×D411yescharacteristic
735C2×C4×C59C22×D411yescharacteristic
736C2×C4×C59C2511yescharacteristic
737C22⋊D59—22no—
738C22⋊D59—41no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—42no—
742C22⋊D59—42no—
743C22⋊D59—81no—
744C22⋊D59—81no—
745C22⋊D59—81no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—42no—
752C2×Dic59—81no—
753C2×Dic59—81no—
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760D236—22no—
761D236—21no—
762D236—21no—
763D236—21no—
764D236—21no—
765D236—42no—
766D236—42no—
767D236—42no—
768D236—42no—
769D236—81no—
770D236C2×#4112yes—
771D236C2×#4112yes—
772C4×D59—22no—
773C4×D59—21no—
774C4×D59—21no—
775C4×D59—21no—
776C4×D59—21no—
777C4×D59—41no—
778C4×D59—41no—
779C4×D59—41no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—42no—
788C4×D59—42no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793C4×D59—81no—
794C4×D59—81no—
795Dic118—21no—
796Dic118—21no—
797Dic118—41no—
798Dic118—81no—
799Dic118—81no—
800C8×C59—21no—
801C8×C59—21no—
802C8×C59—21no—
803C8×C59C2×#4112yes—
804C59⋊C8—21no—
805C59⋊C8—21no—
806C59⋊C8—21no—
807C59⋊C8—21no—
808#61454—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59C23×D411yescharacteristic
819C2×D59—21no—
820C2×D59—21no—
821C2×D59—21no—
822C2×D59—21no—
823C2×D59—22no—
824C2×D59—22no—
825C2×D59—21no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—84no—
834C2×D59—84no—
835C2×D59—84no—
836C2×D59#57512yes—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—21no—
842C4×C59—41no—
843C4×C59—41no—
844C4×C59—41no—
845C4×C59—41no—
846C4×C59—41no—
847C4×C59—41no—
848C4×C59C22×#4111yescharacteristic
849C4×C59#58511yescharacteristic
850Dic59—21no—
851Dic59—21no—
852Dic59—21no—
853Dic59—21no—
854Dic59—21no—
855Dic59—21no—
856Dic59—41no—
857Dic59—41no—
858Dic59—41no—
859Dic59—41no—
860Dic59—41no—
861#3481—591no—
862#3475—591no—
863#3401—591no—
864#3389—591no—
865#3376—591no—
866#3370—591no—
867#3347—591no—
868#3344—591no—
869#3337—591no—
870#3319—591no—
871#3314—591no—
872#3310—591no—
873#3307—591no—
874#3297—591no—
875#3296—591no—
876#3280—591no—
877#3267—591no—
878#3264—591no—
879#3183D5911yescharacteristic, complemented
880#3181—591no—
881#3180—591no—
882#3115—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3110—591no—
888#2970—591no—
889C4×AGL(1,ℤ/8)—591no—
890#2943—591no—
891C2×#442—591no—
892C2×C59—41no—
893C2×C59—81no—
894C2×C59—81no—
895C2×C59D4×#4111yescharacteristic
896C2×C59C2×#57511yescharacteristic
897C2×C59#358511yescharacteristic
898D59—22no—
899D59—41no—
900D59—42no—
901D59—42no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×#135—591no—
905C22×D8—591no—
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—591no—
914#553—1181no—
915#553—1181no—
916#552—591no—
917#552—591no—
918#552—1181no—
919#551—1181no—
920#551—1181no—
921#551—1181no—
922#551—1181no—
923#547—591no—
924#546—591no—
925#546—591no—
926#546—591no—
927#546—591no—
928#546—1181no—
929D42—591no—
930#533—591no—
931#532—591no—
932#529—591no—
933#529—591no—
934#529—1181no—
935#529—1181no—
936#529—1181no—
937#529C2×D5911yescharacteristic, complemented
938#529C2×D5911yescharacteristic, complemented
939#525—1181no—
940#525—1181no—
941#525—1181no—
942C4×#41—591no—
943C4×#41—591no—
944C4×#41—591no—
945C4×#41—591no—
946C2×C4×D4—591no—
947C2×C4×D4—591no—
948C2×C4×D4—591no—
949C2×C4×D4—1181no—
950C2×#117—1181no—
951#501—591no—
952#501—591no—
953#499C2×D5911yescharacteristic, complemented
954#497—591no—
955#496—591no—
956#495C2×D5911yescharacteristic, complemented
957#491—591no—
958#490—591no—
959#489—591no—
960#489—591no—
961#488C2×D5911yescharacteristic, complemented
962#488C2×D5911yescharacteristic, complemented
963#485—591no—
964#485—591no—
965#484—591no—
966#484—591no—
967#483—591no—
968#483—591no—
969#482—591no—
970#482—591no—
971#482—591no—
972#482—591no—
973#480—591no—
974#480—591no—
975#479—591no—
976#479—591no—
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478—591no—
983#475—591no—
984#474—591no—
985#474—591no—
986#474—591no—
987#470C2×D5911yescharacteristic, complemented
988#469C2×D5911yescharacteristic
989#468C2×D5911yescharacteristic, complemented
990#468C2×D5911yescharacteristic, complemented
991#467—591no—
992#467—591no—
993#466—591no—
994#466—591no—
995#465—591no—
996#465—591no—
997#465—591no—
998#465—591no—
999#464—591no—
1000#464—591no—
1001#463—591no—
1002#463—591no—
1003#463—591no—
1004#463—591no—
1005#463—591no—
1006#463—591no—
1007#461—591no—
1008#461—591no—
1009#460—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#450—591no—
1014#450—591no—
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#449—591no—
1020#449—591no—
1021#447—591no—
1022#447—591no—
1023#446—591no—
1024#446—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#442—591no—
1032#442—591no—
1033#442—591no—
1034#442—591no—
1035#442C2×D5911yescharacteristic, complemented
1036#441—591no—
1037#441—591no—
1038#441C2×D5911yescharacteristic, complemented
1039#440—591no—
1040#440—591no—
1041#440—591no—
1042#440—591no—
1043#440—591no—
1044#440—591no—
1045#440—591no—
1046#440—591no—
1047#440C2×D5911yescharacteristic, complemented
1048#440C2×D5911yescharacteristic, complemented
1049C4×SD16—591no—
1050C4×SD16—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435—591no—
1057C8×D4—591no—
1058C8×D4—591no—
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428—591no—
1063#427—591no—
1064C2×#106—591no—
1065#418—591no—
1066#417—591no—
1067#416—591no—
1068#416—591no—
1069C2×#102—591no—
1070C2×#102—591no—
1071C4×M16C2×D5911yescharacteristic, complemented
1072C2×#97—591no—
1073C2×#97—591no—
1074C59#6145411yescharacteristic, complemented, Sylow
1075C2×#41—591no—
1076C2×#41—591no—
1077C2×#41—591no—
1078C2×#41—591no—
1079C2×#41—1181no—
1080C22×D4—591no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—1181no—
1084C23×C4—1181no—
1085C23×C4—1181no—
1086C23×C4—1181no—
1087AGL(1,ℤ/8)—1184no—
1088#135—1184no—
1089C2×Q16—591no—
1090C2×Q16C22×D5911yescharacteristic
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16C22×D5911yescharacteristic
1098C2×SD16C22×D5911yescharacteristic
1099C2×D8—591no—
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—1184no—
1105C2×D8C22×D5911yescharacteristic
1106C2×M16C22×D5911yescharacteristic
1107C2×M16C22×D5911yescharacteristic
1108C22×C8—591no—
1109C22×C8—591no—
1110C22×C8—591no—
1111C22×C8—591no—
1112C4⋊Q8—591no—
1113C4⋊Q8—591no—
1114C4⋊Q8—591no—
1115#127—591no—
1116#126—21no—
1117#126—21no—
1118#126—1181no—
1119#126—1181no—
1120#126—1181no—
1121#126—1181no—
1122#126—1181no—
1123#126—1181no—
1124#126—1181no—
1125#126—1181no—
1126#125—591no—
1127#125—591no—
1128#125—1181no—
1129#125—1181no—
1130#125—1181no—
1131#125—1181no—
1132#125C22×D5911yescharacteristic
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—1181no—
1137#124—1181no—
1138#124—1181no—
1139#124—1181no—
1140#124C22×D5911yescharacteristic
1141#124C22×D5911yescharacteristic
1142#123—21no—
1143#123—21no—
1144#123—1181no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151#123—1181no—
1152#123—1181no—
1153#123—1181no—
1154#123—1181no—
1155#123—1181no—
1156#123—1181no—
1157#123—1181no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—591no—
1161C22⋊Q8—591no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8—1181no—
1168C22⋊Q8—1181no—
1169C22⋊Q8—1181no—
1170C22⋊Q8—1181no—
1171C22⋊Q8—1181no—
1172C22⋊Q8C22×D5911yescharacteristic
1173C22⋊Q8C22×D5911yescharacteristic
1174#121—591no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—1181no—
1179#121—1181no—
1180#121—1181no—
1181#121—1181no—
1182#121—1181no—
1183#121—1181no—
1184#121—1181no—
1185#121—1181no—
1186#121—1181no—
1187#121—1181no—
1188#121C22×D5911yescharacteristic
1189#121C22×D5911yescharacteristic
1190#120—1181no—
1191#120—1181no—
1192#120—1181no—
1193#120—1181no—
1194#120—1181no—
1195#120—1181no—
1196C4×Q8—591no—
1197C4×Q8—591no—
1198C4×Q8—591no—
1199C4×Q8—591no—
1200C4×Q8—591no—
1201C4×Q8—591no—
1202C4×Q8—1181no—
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—591no—
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—591no—
1219C4×D4—591no—
1220C4×D4—591no—
1221C4×D4—591no—
1222C4×D4—591no—
1223C4×D4—591no—
1224C4×D4—591no—
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×D4—1181no—
1236C4×D4—1181no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4C22×D5911yescharacteristic
1245C4×D4C22×D5911yescharacteristic
1246#117—21no—
1247#117—21no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—591no—
1252#117—591no—
1253#117—591no—
1254#117—1181no—
1255#117—1181no—
1256#117—1181no—
1257#117—1181no—
1258#117—1181no—
1259#117—1181no—
1260#117—1181no—
1261#117—1181no—
1262#117—1181no—
1263#117—1181no—
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4—1181no—
1269C2×C4⋊C4—1181no—
1270C2×C22⋊C4—1181no—
1271C2×C22⋊C4—1181no—
1272C2×C22⋊C4—1181no—
1273C2×C22⋊C4—1181no—
1274C2×C22⋊C4—1181no—
1275C2×C22⋊C4—1181no—
1276C2×C22⋊C4—1181no—
1277C2×C42—591no—
1278C2×C42—591no—
1279C2×C42—1181no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42C22×D5911yescharacteristic
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107—591no—
1288#107—591no—
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106—591no—
1295#106—591no—
1296#106—591no—
1297#106C22×D5911yescharacteristic
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304C4⋊C8—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#103—591no—
1313#103C22×D5911yescharacteristic
1314#103C22×D5911yescharacteristic
1315#103C22×D5911yescharacteristic
1316#103C22×D5911yescharacteristic
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328#102—591no—
1329#102—591no—
1330#102—591no—
1331#102—591no—
1332#102—591no—
1333#102C22×D5911yescharacteristic
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8—591no—
1342C22⋊C8—591no—
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347#97—591no—
1348#97—591no—
1349#97C22×D5911yescharacteristic
1350#97C22×D5911yescharacteristic
1351C4×C8C22×D5911yescharacteristic
1352C4×C8C22×D5911yescharacteristic
1353C24—1181no—
1354C24—1181no—
1355C24—1181no—
1356#41—1182no—
1357#41—1182no—
1358#41—1182no—
1359#41—4722no—
1360#41—2361no—
1361#41—2362no—
1362#41—2361no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—1181no—
1367C2×Q8—1181no—
1368C2×Q8C23×D5911yescharacteristic
1369C2×Q8C23×D5911yescharacteristic
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—591no—
1373C2×D4—591no—
1374C2×D4—591no—
1375C2×D4—591no—
1376C2×D4—591no—
1377C2×D4—591no—
1378C2×D4—1182no—
1379C2×D4—1181no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1181no—
1387C2×D4—1182no—
1388C2×D4—1182no—
1389C2×D4—1181no—
1390C2×D4—1181no—
1391C2×D4—1181no—
1392C2×D4—1181no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C2×D4—2361no—
1396C2×D4—2364no—
1397C2×D4C23×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4—1181no—
1411C22×C4—1181no—
1412C22×C4—1181no—
1413C22×C4—1181no—
1414C22×C4—1181no—
1415C22×C4—1181no—
1416C22×C4—1181no—
1417C22×C4—1181no—
1418C22×C4—1181no—
1419C22×C4—1181no—
1420C22×C4—1181no—
1421C22×C4—1181no—
1422C22×C4—1181no—
1423C22×C4—1181no—
1424C22×C4—1181no—
1425C22×C4—4722no—
1426C22×C4—4722no—
1427C22×C4—2364no—
1428C22×C4D4×D5911yescharacteristic
1429C22×C4D4×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—22no—
1432Q16—2361no—
1433SD16—41no—
1434SD16—41no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—22no—
1442D8—594no—
1443D8—1182no—
1444D8—1182no—
1445D8—1182no—
1446D8—2361no—
1447M16—22no—
1448M16—41no—
1449C2×C8—591no—
1450C2×C8—591no—
1451C2×C8—591no—
1452C2×C8—591no—
1453C2×C8—1182no—
1454C2×C8—1182no—
1455C2×C8—2361no—
1456C2×C8—2361no—
1457C2×C8C23×D5911yescharacteristic
1458C2×C8C23×D5911yescharacteristic
1459C2×C8C23×D5911yescharacteristic
1460C2×C8C23×D5911yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—21no—
1468C4⋊C4—21no—
1469C4⋊C4—591no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
1477C4⋊C4—591no—
1478C4⋊C4—591no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4—1181no—
1486C4⋊C4—1181no—
1487C4⋊C4—1181no—
1488C4⋊C4—1181no—
1489C4⋊C4—1181no—
1490C4⋊C4—1181no—
1491C4⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4—1181no—
1496C4⋊C4—1181no—
1497C4⋊C4—1181no—
1498C4⋊C4C23×D5911yescharacteristic
1499C4⋊C4C23×D5911yescharacteristic
1500C4⋊C4C23×D5911yescharacteristic
1501C4⋊C4C23×D5911yescharacteristic
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—591no—
1513C22⋊C4—591no—
1514C22⋊C4—591no—
1515C22⋊C4—591no—
1516C22⋊C4—591no—
1517C22⋊C4—591no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4—1181no—
1528C22⋊C4—1181no—
1529C22⋊C4—1181no—
1530C22⋊C4—1181no—
1531C22⋊C4—1181no—
1532C22⋊C4—1181no—
1533C22⋊C4—1181no—
1534C22⋊C4—1181no—
1535C22⋊C4—1181no—
1536C22⋊C4—1181no—
1537C22⋊C4—1181no—
1538C22⋊C4—1181no—
1539C22⋊C4—1181no—
1540C22⋊C4—1181no—
1541C22⋊C4—1181no—
1542C22⋊C4—1181no—
1543C22⋊C4—1181no—
1544C22⋊C4—1181no—
1545C42—21no—
1546C42—21no—
1547C42—591no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—1181no—
1554C42—1181no—
1555C42—1181no—
1556C42—1181no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42D4×D5911yescharacteristic
1561C42D4×D5911yescharacteristic
1562C42C23×D5911yescharacteristic
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—21no—
1566C23—591no—
1567C23—591no—
1568C23—1181no—
1569C23—1181no—
1570C23—1181no—
1571C23—4721no—
1572C23—4721no—
1573C23—4721no—
1574C23—2362no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23—2362no—
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—4721no—
1588Q8—4721no—
1589Q8—2361no—
1590D4—21no—
1591D4—21no—
1592D4—21no—
1593D4—21no—
1594D4—42no—
1595D4—81no—
1596D4—592no—
1597D4—592no—
1598D4—1182no—
1599D4—1182no—
1600D4—1181no—
1601D4—1181no—
1602D4—1181no—
1603D4—1181no—
1604D4—4721no—
1605D4—4721no—
1606D4—4721no—
1607D4—4721no—
1608D4—2362no—
1609D4—2362no—
1610D4—2362no—
1611D4—2362no—
1612D4—2361no—
1613D4—2362no—
1614D4—2362no—
1615D4—2362no—
1616D4—2362no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—41no—
1626C2×C4—41no—
1627C2×C4—42no—
1628C2×C4—42no—
1629C2×C4—591no—
1630C2×C4—591no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—1182no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—4721no—
1646C2×C4—4721no—
1647C2×C4—4721no—
1648C2×C4—4721no—
1649C2×C4—4721no—
1650C2×C4—4721no—
1651C2×C4—4721no—
1652C2×C4—4721no—
1653C2×C4—2361no—
1654C2×C4—2361no—
1655C2×C4—2361no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2362no—
1664C2×C4—2362no—
1665C2×C4—2362no—
1666C2×C4C2×D4×D5911yescharacteristic
1667C2×C4C2×D4×D5911yescharacteristic
1668C2×C4C2×D4×D5911yescharacteristic
1669C2×C4C2×D4×D5911yescharacteristic
1670C2×C4C2×D4×D5911yescharacteristic
1671C2×C4C24×D5911yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—1181no—
1676C8—1181no—
1677C8—1181no—
1678C8—1181no—
1679C8#41×D5912yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—592no—
1690C22—1181no—
1691C22—1181no—
1692C22—1181no—
1693C22—1181no—
1694C22—1182no—
1695C22—1182no—
1696C22—1181no—
1697C22—4724no—
1698C22—4724no—
1699C22—4724no—
1700C22—2361no—
1701C22—2361no—
1702C22—2361no—
1703C22—2361no—
1704C22—2361no—
1705C22—2361no—
1706C22—2361no—
1707C22C22×D4×D5911yescharacteristic
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—21no—
1712C4—21no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—1181no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—1181no—
1725C4—2361no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823811yescharacteristic
1732C2—41no—
1733C2—81no—
1734C2—81no—
1735C2—1182no—
1736C2—4721no—
1737C2—2361no—
1738C2—2362no—
1739C2—2362no—
1740C2#2143758211yescharacteristic
1741C2#575×D5911yescharacteristic
1742C2#2143887311yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3183C2
socleC22×C59C23×D4
hypercenter#3183D59
hypocenterC59#61454
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3183

Complements

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

NH ≅ G/Ntype
1. #21437702C2semidirect
2. #21437652C2semidirect
3. #21437168C2semidirect
4. #21437057C2semidirect
5. #21436929C2semidirect
6. #21436855C2semidirect
7. #21436591C2semidirect
8. #21436546C2semidirect
9. #21436474C2semidirect
10. #21436247C2semidirect
11. #21436172C2semidirect
12. #21436112C2semidirect
13. #21436067C2semidirect
14. #21435945C2semidirect
15. #21435930C2semidirect
16. #21435780C2semidirect
17. #21435628C2semidirect
18. #21435583C2semidirect
19. #21434803C2semidirect
20. #21434792C2semidirect
21. #21434245C2semidirect
22. #21434238C2semidirect
23. #21434230C2semidirect
24. #21434203C2semidirect
25. #21434199C2semidirect
26. #21434193C2semidirect
27. #21433111C2semidirect
28. C4×#14273755C2semidirect
29. #21432895C2semidirect
30. #442×D59C2semidirect
31. C59×#3183C2semidirect
35. #16838134C22semidirect
36. #16838121C22semidirect
37. #16838116C22semidirect
39. #16838108C22semidirect
40. #16838108C22semidirect
42. #16838104C22semidirect
45. #16838090C22semidirect
52. #16838054C22semidirect
55. #16838045C22semidirect
57. #16838043C22semidirect
59. #16837956C22semidirect
60. #16837949C22semidirect
63. #16837934C22semidirect
69. C4×#11745689C22semidirect
70. C4×#11745689C22semidirect
72. C4×#11745685C22semidirect
73. C2×C4×D236C22semidirect
76. C4×D4×D59C22semidirect
78. #16837809C22semidirect
79. #16837809C22semidirect
80. #16837795C22semidirect
82. #16837769C22semidirect
83. #16837765C22semidirect
84. #16837763C22semidirect
85. #16837760C22semidirect
86. #16837745C22semidirect
87. #16837740C22semidirect
88. #16837739C22semidirect
89. #16837736C22semidirect
90. #16837731C22semidirect
91. #16837730C22semidirect
92. #16837729C22semidirect
93. #16837725C22semidirect
94. #16837724C22semidirect
95. #16837723C22semidirect
97. #16837713C22semidirect
98. #16837711C22semidirect
99. #16837706C22semidirect
100. #16837705C22semidirect
101. #16837705C22semidirect
102. #16837704C22semidirect
103. #16837699C22semidirect
104. #16837699C22semidirect
105. #16837699C22semidirect
106. #16837685C22semidirect
107. #16837681C22semidirect
108. #16837681C22semidirect
109. #16837680C22semidirect
110. #16837642C22semidirect
111. #16837640C22semidirect
112. #16837637C22semidirect
113. #16837635C22semidirect
116. #16837632C22semidirect
117. #16837630C22semidirect
118. #16837622C22semidirect
119. #16837621C22semidirect
120. #16837620C22semidirect
121. #16837619C22semidirect
124. #16837614C22semidirect
125. #16837614C22semidirect
126. #16837606C22semidirect
127. #16837605C22semidirect
128. #16837600C22semidirect
130. #16837567C22semidirect
131. #16837562C22semidirect
133. #16837552C22semidirect
135. #16837551C22semidirect
136. #16837550C22semidirect
138. #16837546C22semidirect
142. #16837532C22semidirect
143. #16837532C22semidirect
145. #16837515C22semidirect
146. #16837514C22semidirect
150. #16837512C22semidirect
151. #16837512C22semidirect
153. #16837511C22semidirect
154. #16837509C22semidirect
155. #16837507C22semidirect
156. #16837505C22semidirect
157. #16837505C22semidirect
158. #16837504C22semidirect
159. #16837504C22semidirect
160. #16837502C22semidirect
161. #16837500C22semidirect
162. #16837500C22semidirect
163. #16837500C22semidirect
164. C4×#11745660C22semidirect
165. C4×#11745660C22semidirect
167. C4×D472C22semidirect
170. #16837471C22semidirect
171. #16837471C22semidirect
172. C8×D236C22semidirect
173. C8×D236C22semidirect
174. #16837459C22semidirect
175. #16837457C22semidirect
176. #16837457C22semidirect
177. #16837444C22semidirect
178. #16837437C22semidirect
179. #106×D59C22semidirect
180. #16837408C22semidirect
181. #16837404C22semidirect
182. #16837397C22semidirect
183. #16837397C22semidirect
185. #102×D59C22semidirect
186. #97×D59C22semidirect
187. #97×D59C22semidirect
188. C59×#529C22semidirect
189. C59×#529C22semidirect
190. C59×#499C22semidirect
191. C59×#495C22semidirect
192. C59×#488C22semidirect
193. C59×#488C22semidirect
194. C59×#470C22semidirect
196. C59×#468C22semidirect
197. C59×#468C22semidirect
198. C59×#442C22semidirect
199. C59×#441C22semidirect
200. C59×#440C22semidirect
201. C59×#440C22semidirect
202. C4×M16×C59C22semidirect
685. D472#41semidirect
879. #3183D59semidirect
937. #529C2×D59semidirect
938. #529C2×D59semidirect
953. #499C2×D59semidirect
956. #495C2×D59semidirect
961. #488C2×D59semidirect
962. #488C2×D59semidirect
987. #470C2×D59semidirect
989. #468C2×D59semidirect
990. #468C2×D59semidirect
1035. #442C2×D59semidirect
1038. #441C2×D59semidirect
1047. #440C2×D59semidirect
1048. #440C2×D59semidirect
1071. C4×M16C2×D59semidirect
1074. C59#61454semidirect

Maximal subgroups

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

subgroupindex
#214377022
#214376522
#214371682
#214370572
#214369292
#214368552
#214365912
#214365462
#214364742
#214362472
#214361722
#214361122
#214360672
#214359452
#214359302
#214357802
#214356282
#214355832
#214348032
#214347922
#214342452
#214342382
#214342302
#214342032
#214341992
#214341932
#214331112
C4×#142737552
#214328952
#442×D592
C59×#31832
#6145459