Finite Group Databasebeta

← #29470944

Subgroups — #29470944

Order 15104.

1918 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#21437703C211yesmaximal, characteristic, complemented
2#21437661C211yesmaximal, characteristic, complemented
3#21437093C211yesmaximal, characteristic, complemented
4#21436960C211yesmaximal, characteristic, complemented
5#21436759C211yesmaximal, characteristic, complemented
6#21436748C211yesmaximal, characteristic, complemented
7#21436718C211yesmaximal, characteristic, complemented
8#21436652C211yesmaximal, characteristic, complemented
9#21436410C211yesmaximal, characteristic, complemented
10#21436336C211yesmaximal, characteristic, complemented
11#21436315C211yesmaximal, characteristic, complemented
12#21436306C211yesmaximal, characteristic, complemented
13#21436295C211yesmaximal, characteristic, complemented
14#21436291C211yesmaximal, characteristic, complemented
15#21435708C211yesmaximal, characteristic, complemented
16#21435704C211yesmaximal, characteristic, complemented
17#21435693C211yesmaximal, characteristic, complemented
18#21434827C211yesmaximal, characteristic, complemented
19#21434818C211yesmaximal, characteristic, complemented
20#21434809C211yesmaximal, characteristic, complemented
21#21434253C211yesmaximal, characteristic, complemented
22#21434239C211yesmaximal, characteristic, complemented
23#21434237C211yesmaximal, characteristic, complemented
24#21434212C211yesmaximal, characteristic, complemented
25#21434200C211yesmaximal, characteristic, complemented
26#21434184C211yesmaximal, characteristic, complemented
27#21433112C211yesmaximal, characteristic, complemented
28C4×#14273754C211yesmaximal, characteristic, complemented
29#21432903C211yesmaximal, characteristic, complemented
30#21432903C211yesmaximal, characteristic, complemented
31C59×#3351C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273755C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35#16838135C2211yescharacteristic, complemented
36#16838124C2211yescharacteristic, complemented
37#16838115C2211yescharacteristic
38#16838108C2211yescharacteristic, complemented
39#16838108C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838103—21no—
42#16838097—21no—
43#16838096C2211yescharacteristic
44#16838087C2211yescharacteristic, complemented
45#16838084—21no—
46#16838081—21no—
47#16838077—21no—
48#16838076—21no—
49#16838075—21no—
50#16838054C2211yescharacteristic
51#16838049C2211yescharacteristic
52#16838048C2211yescharacteristic
53#16838048C2211yescharacteristic, complemented
54#16838043C2211yescharacteristic, complemented
55#16838041—21no—
56#16838036C2211yescharacteristic, complemented
57#16837954C2211yescharacteristic, complemented
58#16837947C2211yescharacteristic
59#16837938C2211yescharacteristic, complemented
60#16837937—21no—
61#16837937C2211yescharacteristic, complemented
62#16837937C2211yescharacteristic, complemented
63#16837935—21no—
64#16837935—21no—
65#16837933C2211yescharacteristic, complemented
66#16837912—21no—
67#16837910—21no—
68#16837910—21no—
69C4×#11745689C2211yescharacteristic, complemented
70#16837870C2211yescharacteristic
71#16837870C2211yescharacteristic, complemented
72C4×#11745687C2211yescharacteristic
73C2×#14273689C2211yescharacteristic, complemented
74C2×#14273689C2211yescharacteristic, complemented
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic, complemented
77#117×D59—21no—
78#16837806C2211yescharacteristic, complemented
79#16837803C2211yescharacteristic, complemented
80#16837786C2211yescharacteristic, complemented
81#16837783C2211yescharacteristic, complemented
82#16837773C2211yescharacteristic, complemented
83#16837759C2211yescharacteristic, complemented
84#16837759C2211yescharacteristic, complemented
85#16837758C2211yescharacteristic, complemented
86#16837755C2211yescharacteristic, complemented
87#16837751C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837746C2211yescharacteristic, complemented
90#16837743C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837734C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837720C2211yescharacteristic, complemented
95#16837717C2211yescharacteristic, complemented
96#16837715C2211yescharacteristic, complemented
97#16837708C2211yescharacteristic, complemented
98#16837701C2211yescharacteristic, complemented
99#16837701C2211yescharacteristic, complemented
100#16837701C2211yescharacteristic, complemented
101#16837699C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837696C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837691C2211yescharacteristic, complemented
107#16837661C2211yescharacteristic, complemented
108#16837658C2211yescharacteristic, complemented
109#16837656C2211yescharacteristic
110#16837653C2211yescharacteristic
111#16837650C2211yescharacteristic, complemented
112#16837649C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837646C2211yescharacteristic, complemented
117#16837624C2211yescharacteristic, complemented
118#16837623C2211yescharacteristic, complemented
119#16837620C2211yescharacteristic
120#16837620C2211yescharacteristic, complemented
121#16837618C2211yescharacteristic
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic, complemented
125#16837611C2211yescharacteristic, complemented
126#16837606C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic
128#16837596C2211yescharacteristic
129#16837567C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic
131#16837566C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic
133#16837554C2211yescharacteristic, complemented
134#16837552C2211yescharacteristic, complemented
135#16837550C2211yescharacteristic
136#16837545C2211yescharacteristic
137#16837538C2211yescharacteristic
138#16837538C2211yescharacteristic, complemented
139#16837537C2211yescharacteristic
140#16837535C2211yescharacteristic, complemented
141C8×Dic118C2211yescharacteristic, complemented
142#16837526C2211yescharacteristic, complemented
143#16837513C2211yescharacteristic
144#16837513C2211yescharacteristic
145#16837513C2211yescharacteristic, complemented
146#16837513C2211yescharacteristic, complemented
147#16837511C2211yescharacteristic, complemented
148#16837511C2211yescharacteristic, complemented
149#16837508C2211yescharacteristic, complemented
150#16837506C2211yescharacteristic, complemented
151#16837505C2211yescharacteristic, complemented
152#16837505C2211yescharacteristic, complemented
153#16837503C2211yescharacteristic, complemented
154#16837501C2211yescharacteristic, complemented
155#16837501C2211yescharacteristic, complemented
156#16837501C2211yescharacteristic, complemented
157#16837501C2211yescharacteristic, complemented
158#16837499C2211yescharacteristic, complemented
159C4×#11745671C2211yescharacteristic, complemented
160#16837489C2211yescharacteristic, complemented
161#16837489C2211yescharacteristic, complemented
162#16837489C2211yescharacteristic, complemented
163#16837489C2211yescharacteristic, complemented
164C4×D472C2211yescharacteristic
165#16837484C2211yescharacteristic
166#16837484C2211yescharacteristic
167#16837484C2211yescharacteristic
168#16837484C2211yescharacteristic, complemented
169C4×#11745669C2211yescharacteristic, complemented
170#16837480C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837477C2211yescharacteristic, complemented
174#16837477C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#16837441C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837406C2211yescharacteristic, complemented
181#16837405C2211yescharacteristic, complemented
182#16837402C2211yescharacteristic, complemented
183#16837401C2211yescharacteristic
184#16837401C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C4×#11745659C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic
189C59×#552C2211yescharacteristic, complemented
190C59×#499C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#481C2211yescharacteristic, complemented
195C59×#479C2211yescharacteristic, complemented
196C59×#478C2211yescharacteristic, complemented
197C59×#468C2211yescharacteristic, complemented
198C59×#468C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C59×#428C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687—21no—
207C2×#11745687D411yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C2×D4×D59—21no—
211C2×D4×D59C2311yescharacteristic
212C22×C4×D59—21no—
213C22×C4×D59—21no—
214C22×C4×D59—21no—
215#14273755—24no—
216#14273755—24no—
217#14273754—24no—
218C2×Dic236C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745660C2311yescharacteristic
221C2×#11745660C2311yescharacteristic
222C2×#11745660C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745670C2311yescharacteristic
225C2×#11745671C2311yescharacteristic
226C2×#11745671C2311yescharacteristic
227C2×D472C2311yescharacteristic
228C2×D472C2311yescharacteristic
229C2×D472C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×#11745669C2311yescharacteristic
232C2×#11745669C2311yescharacteristic
233C2×#11745664C2311yescharacteristic
234C2×#11745664C2311yescharacteristic
235C2×#11745659C2311yescharacteristic
236C2×#11745659C2311yescharacteristic
237#14273726C2311yescharacteristic
238#14273726C2311yescharacteristic
239#14273725C2311yescharacteristic
240#14273723C2311yescharacteristic
241#14273722—21no—
242#14273722—21no—
243#14273722—21no—
244#14273722—21no—
245#14273722—21no—
246#14273721—21no—
247#14273721—21no—
248#14273720—21no—
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273717—21no—
252#14273717—21no—
253#14273717—21no—
254#14273716C2311yescharacteristic
255#14273715—21no—
256#14273715C2311yescharacteristic
257#14273715C2311yescharacteristic
258#14273714C2311yescharacteristic
259#14273713—21no—
260#14273713—21no—
261#14273713—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712—21no—
265#14273712—21no—
266#14273712—21no—
267#14273712—21no—
268#14273711—21no—
269#14273710—21no—
270#14273710—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273708—21no—
276#14273707—21no—
277#14273707—21no—
278#14273707C2311yescharacteristic
279#14273707C2311yescharacteristic
280#14273706—21no—
281#14273706C2311yescharacteristic
282#14273706C2311yescharacteristic
283#14273705—21no—
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273704—21no—
290#14273702—21no—
291#14273702C2311yescharacteristic
292#14273702C2311yescharacteristic
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273700—21no—
296#14273700—21no—
297#14273700—21no—
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273699—21no—
302#14273698—21no—
303#14273697—21no—
304#14273697—21no—
305#14273695—21no—
306#14273695—21no—
307#14273695—21no—
308#14273695—21no—
309Q8×Dic59C2311yescharacteristic
310C4×Dic118C2311yescharacteristic
311#14273692—21no—
312#14273692D411yescharacteristic
313#14273692C2311yescharacteristic
314#14273692C2311yescharacteristic
315#14273692C2311yescharacteristic
316#14273692C2311yescharacteristic
317C4×D236—21no—
318C4×D236—21no—
319C4×D236C2311yescharacteristic
320C4×D236C2311yescharacteristic
321D4×Dic59—21no—
322D4×Dic59D411yescharacteristic
323D4×Dic59C2311yescharacteristic
324#14273689—21no—
325#14273689—21no—
326#14273689—21no—
327#14273689—21no—
328#14273689—21no—
329#14273689—21no—
330#14273689—21no—
331#14273689C2311yescharacteristic
332#14273689C2311yescharacteristic
333#14273689C2311yescharacteristic
334#14273689C2311yescharacteristic
335#14273689C2311yescharacteristic
336#14273689C2311yescharacteristic
337#14273689C2311yescharacteristic
338#14273689C2311yescharacteristic
339#14273689C2311yescharacteristic
340#14273689C2311yescharacteristic
341C4×C22⋊D59—21no—
342C4×C22⋊D59—21no—
343C4×C22⋊D59—21no—
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(C22⋊D59)⋊C4—21no—
351(C22⋊D59)⋊C4—21no—
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4D411yescharacteristic
354(C22⋊D59)⋊C4D411yescharacteristic
355#14273686—21no—
356#14273685—21no—
357#14273685—21no—
358#14273685—21no—
359#14273685—21no—
360#14273685D411yescharacteristic
361#14273685C2311yescharacteristic
362#14273684—21no—
363#14273684—21no—
364#14273684—21no—
365#14273684—21no—
366#14273683—21no—
367#14273683—21no—
368#14273683D411yescharacteristic
369#14273683D411yescharacteristic
370C4⋊C4×D59—21no—
371C4⋊C4×D59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59C2311yescharacteristic
374C2×(C2×D59)⋊C4—21no—
375C2×(C2×D59)⋊C4—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C22⋊C4×D59—21no—
381C2×C4×Dic59C2311yescharacteristic
382C2×C4×Dic59C2311yescharacteristic
383C42×D59—21no—
384C42×D59—21no—
385C42×D59—21no—
386C42×D59C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394C4⋊(C59⋊C8)C2311yescharacteristic
395Dic59⋊C8C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399#14273652C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273651C2311yescharacteristic
402#14273650C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273648C2311yescharacteristic
413#14273647C2311yescharacteristic
414#14273647C2311yescharacteristic
415#14273647C2311yescharacteristic
416#14273647C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425C22⋊(C59⋊C8)C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429#14273637C2311yescharacteristic
430#14273637C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433C4×C59⋊C8C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C2×SD16×C59C2311yescharacteristic
439C2×M16×C59C2311yescharacteristic
440C2×M16×C59C2311yescharacteristic
441#126×C59—21no—
442#126×C59—21no—
443#125×C59—21no—
444#125×C59C2311yescharacteristic
445#125×C59C2311yescharacteristic
446#123×C59—21no—
447#123×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449C22⋊Q8×C59C2311yescharacteristic
450#121×C59—21no—
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453C4×Q8×C59C2311yescharacteristic
454C4×D4×C59—21no—
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457#117×C59—21no—
458#117×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462#107×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#107×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468#106×C59C2311yescharacteristic
469#106×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471C4⋊C8×C59C2311yescharacteristic
472#103×C59C2311yescharacteristic
473#103×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C23×D59—21no—
482C23×D59—21no—
483C23×D59—21no—
484C2×Q8×C59C2411yescharacteristic
485C2×D4×C59—21no—
486C2×D4×C59—21no—
487C2×D4×C59C2×D411yescharacteristic
488C2×D4×C59C2411yescharacteristic
489C22×C4×C59—21no—
490C22×C4×C59—21no—
491C22×C4×C59—21no—
492C22×C4×C59C2411yescharacteristic
493C22×C4×C59C2411yescharacteristic
494C2×C22⋊D59—21no—
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⋊D59C2×D411yescharacteristic
502C2×C22⋊D59C2×D411yescharacteristic
503C22×Dic59—21no—
504C22×Dic59C2×D411yescharacteristic
505C22×Dic59C2×D411yescharacteristic
506C22×Dic59C2×D411yescharacteristic
507C22×Dic59C2×D411yescharacteristic
508#11745689—22no—
509#11745689—41no—
510#11745687—42no—
511#11745687—82no—
512D4×D59—22no—
513D4×D59—41no—
514D4×D59—44no—
515#11745685—22no—
516#11745685—22no—
517#11745685—41no—
518#11745685—41no—
519C2×D236—22no—
520C2×D236—22no—
521C2×D236—21no—
522C2×D236—21no—
523C2×D236—21no—
524C2×D236—21no—
525C2×D236—21no—
526C2×D236—41no—
527C2×D236—41no—
528C2×D236C2411yescharacteristic
529C2×D236C2411yescharacteristic
530C2×D236C2411yescharacteristic
531C2×D236C2411yescharacteristic
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—21no—
547C2×C4×D59—21no—
548C2×C4×D59—44no—
549C2×C4×D59—82no—
550C2×C4×D59—82no—
551C2×C4×D59C2×D411yescharacteristic
552C2×C4×D59C2×D411yescharacteristic
553C2×C4×D59C2411yescharacteristic
554C2×Dic118—21no—
555C2×Dic118—21no—
556C2×Dic118C2×D411yescharacteristic
557C2×Dic118C2411yescharacteristic
558C2×Dic118C2411yescharacteristic
559SD16×C59—22no—
560M16×C59—22no—
561M16×C59—22no—
562C2×C8×C59C2411yescharacteristic
563C2×C8×C59C2411yescharacteristic
564C2×C8×C59C2411yescharacteristic
565C2×C8×C59C2411yescharacteristic
566C4⋊C4×C59—21no—
567C4⋊C4×C59—21no—
568C4⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C4⋊C4×C59C2411yescharacteristic
578C4⋊C4×C59C2411yescharacteristic
579C4⋊C4×C59C2411yescharacteristic
580C4⋊C4×C59C2411yescharacteristic
581C4⋊C4×C59C2411yescharacteristic
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×C59C2×D411yescharacteristic
590C22⋊C4×C59C2×D411yescharacteristic
591C42×C59—21no—
592C42×C59—21no—
593C42×C59—21no—
594C42×C59C2411yescharacteristic
595C22⋊Dic59—21no—
596C22⋊Dic59—21no—
597C22⋊Dic59—21no—
598C22⋊Dic59—21no—
599C22⋊Dic59—21no—
600C22⋊Dic59C2×D411yescharacteristic
601C22⋊Dic59C2×D411yescharacteristic
602#11745672—41no—
603#11745671—22no—
604#11745671—41no—
605#11745670—41no—
606#11745669—22no—
607#11745669—41no—
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)⋊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)⋊C4C2×D411yescharacteristic
634(C2×D59)⋊C4C2×D411yescharacteristic
635C4⋊Dic59—21no—
636C4⋊Dic59—21no—
637C4⋊Dic59—21no—
638C4⋊Dic59—21no—
639C4⋊Dic59—21no—
640C4⋊Dic59C2×D411yescharacteristic
641C4⋊Dic59C2411yescharacteristic
642C4⋊Dic59C2411yescharacteristic
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658Dic59⋊C4C2×D411yescharacteristic
659Dic59⋊C4C2×D411yescharacteristic
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59C2×D411yescharacteristic
667C4×Dic59C2×D411yescharacteristic
668C4×Dic59C2×D411yescharacteristic
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2411yescharacteristic
673C4×Dic59C2411yescharacteristic
674C4×Dic59C2411yescharacteristic
675#11745664—41no—
676#11745664—41no—
677C2×C59⋊C8C2411yescharacteristic
678C2×C59⋊C8C2411yescharacteristic
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681Dic236—41no—
682D472—22no—
683D472—22no—
684D472—41no—
685D472#4114yescomplemented
686#11745660—22no—
687#11745660—22no—
688#11745660—22no—
689#11745660—22no—
690#11745659—22no—
691#11745659—41no—
692C23×C59—21no—
693C23×C59C22×D411yescharacteristic
694C23×C59C22×D411yescharacteristic
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—42no—
700C22×D59—42no—
701C22×D59—42no—
702C22×D59—42no—
703C22×D59—42no—
704C22×D59—42no—
705C22×D59—81no—
706C22×D59—81no—
707C22×D59—81no—
708C22×D59C22×D411yescharacteristic
709Q8×C59—21no—
710Q8×C59—21no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—41no—
714D4×C59—42no—
715D4×C59—81no—
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—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—42no—
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×C59C2511yescharacteristic
735C22⋊D59—22no—
736C22⋊D59—41no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—42no—
740C22⋊D59—42no—
741C22⋊D59—81no—
742C22⋊D59—81no—
743C22⋊D59—81no—
744C2×Dic59—22no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—41no—
750C2×Dic59—41no—
751C2×Dic59—41no—
752C2×Dic59—42no—
753C2×Dic59C22×D411yescharacteristic
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760D236—21no—
761D236—21no—
762D236—21no—
763D236—21no—
764D236—21no—
765D236—21no—
766D236—42no—
767D236—42no—
768D236—42no—
769D236—42no—
770D236—81no—
771D236C2×#4112yes—
772D236C2×#4112yes—
773C4×D59—21no—
774C4×D59—21no—
775C4×D59—41no—
776C4×D59—41no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—42no—
780C4×D59—42no—
781C4×D59—42no—
782C4×D59—42no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786C4×D59—42no—
787C4×D59—81no—
788C4×D59—81no—
789C4×D59—81no—
790C4×D59—81no—
791C4×D59—81no—
792C4×D59—81no—
793Dic118—22no—
794Dic118—21no—
795Dic118—21no—
796Dic118—21no—
797Dic118—21no—
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#61464—591nomaximal, Sylow
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—21no—
814C22×C59—21no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59C23×D411yescharacteristic
819C2×D59—21no—
820C2×D59—21no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—21no—
824C2×D59—41no—
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C2×D59—41no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—84no—
835C2×D59—84no—
836C2×D59—84no—
837C4×C59—21no—
838C4×C59—21no—
839C4×C59—21no—
840C4×C59—21no—
841C4×C59—41no—
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#57512yes—
861#3481—591no—
862#3475—591no—
863#3394—591no—
864#3380—591no—
865#3361—591no—
866#3360—591no—
867#3357—591no—
868#3351—591no—
869#3351D5911yescharacteristic, complemented
870#3331—591no—
871#3325—591no—
872#3323—591no—
873#3323—591no—
874#3322—591no—
875#3322—591no—
876#3273—591no—
877#3273—591no—
878#3272—591no—
879#3183—591no—
880#3183—591no—
881#3182—591no—
882#3116—591no—
883#3114—591no—
884#3114—591no—
885#3111—591no—
886#3111—591no—
887#3109—591no—
888#2971—591no—
889C4×AGL(1,ℤ/8)—591no—
890C4×AGL(1,ℤ/8)—591no—
891C4×AGL(1,ℤ/8)—591no—
892C2×C59—41no—
893C2×C59—41no—
894C2×C59—81no—
895C2×C59D4×#4111yescharacteristic
896C2×C59C2×#57511yescharacteristic
897C2×C59#358511yescharacteristic
898D59—41no—
899D59—42no—
900D59—42no—
901D59—81no—
902D59—81no—
903C2×AGL(1,ℤ/8)—591no—
904C2×AGL(1,ℤ/8)—591no—
905C2×AGL(1,ℤ/8)—591no—
906#559—591no—
907#556—591no—
908#555—591no—
909#554—591no—
910#554—591no—
911#554—591no—
912#553—591no—
913#553—1181no—
914#553—1181no—
915#553C2×D5911yescharacteristic
916#552—591no—
917#552—1181no—
918#552C2×D5911yescharacteristic, complemented
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—591no—
935#529—591no—
936#529—1181no—
937#529—1181no—
938#529—1181no—
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#500—591no—
952#499—591no—
953#499C2×D5911yescharacteristic, complemented
954#495—591no—
955#495—591no—
956#492—591no—
957#488—591no—
958#488—591no—
959#488—591no—
960#488—591no—
961#487—591no—
962#486—591no—
963#485—591no—
964#485—591no—
965#485—591no—
966#485C2×D5911yescharacteristic, complemented
967#483—591no—
968#483C2×D5911yescharacteristic, complemented
969#482—591no—
970#482C2×D5911yescharacteristic, complemented
971#481—591no—
972#481C2×D5911yescharacteristic, complemented
973#480—591no—
974#480—591no—
975#479—591no—
976#479C2×D5911yescharacteristic, complemented
977#478—591no—
978#478—591no—
979#478—591no—
980#478—591no—
981#478—591no—
982#478C2×D5911yescharacteristic, complemented
983#477—591no—
984#476—591no—
985#476—591no—
986#476—591no—
987#470—591no—
988#470—591no—
989#469—591no—
990#469—591no—
991#468—591no—
992#468—591no—
993#468—591no—
994#468—591no—
995#468—591no—
996#468—591no—
997#468C2×D5911yescharacteristic, complemented
998#468C2×D5911yescharacteristic, complemented
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#462—591no—
1008#461—591no—
1009#459—591no—
1010#459—591no—
1011#452—591no—
1012#452—591no—
1013#452—591no—
1014#452—591no—
1015#450—591no—
1016#450—591no—
1017#449—591no—
1018#449—591no—
1019#447—591no—
1020#447—591no—
1021#447—591no—
1022#447—591no—
1023C8×Q8—591no—
1024C8×Q8—591no—
1025#442—591no—
1026#442—591no—
1027#442—591no—
1028#442—591no—
1029#442—591no—
1030#442—591no—
1031#441—591no—
1032#441—591no—
1033#440—591no—
1034#440—591no—
1035#440—591no—
1036#440—591no—
1037#440—591no—
1038#440—591no—
1039#440—591no—
1040#440—591no—
1041C4×SD16—591no—
1042C4×SD16—591no—
1043C4×SD16—591no—
1044C4×SD16—591no—
1045C4×SD16—591no—
1046C4×SD16C2×D5911yescharacteristic, complemented
1047C4×D8—591no—
1048C4×D8—591no—
1049C4×D8—591no—
1050C4×D8—591no—
1051C4×D8—591no—
1052C4×D8—591no—
1053#436—591no—
1054#436—591no—
1055#436—591no—
1056#436—591no—
1057#436—591no—
1058#436C2×D5911yescharacteristic, complemented
1059#432—591no—
1060#432—591no—
1061#432—591no—
1062#428—591no—
1063#428C2×D5911yescharacteristic, complemented
1064#428C2×D5911yescharacteristic, complemented
1065#418—591no—
1066#418—591no—
1067#418—591no—
1068#417—591no—
1069#417—591no—
1070#417—591no—
1071C4×M16—591no—
1072C4×M16—591no—
1073C4×M16—591no—
1074C59#6146411yescharacteristic, 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—
1088AGL(1,ℤ/8)—1184no—
1089AGL(1,ℤ/8)—1184no—
1090C2×Q16—591no—
1091C2×Q16—591no—
1092C2×SD16—591no—
1093C2×SD16—591no—
1094C2×SD16—591no—
1095C2×SD16—591no—
1096C2×SD16—591no—
1097C2×SD16—591no—
1098C2×SD16—591no—
1099C2×SD16C22×D5911yescharacteristic
1100C2×D8—591no—
1101C2×D8—591no—
1102C2×D8—591no—
1103C2×D8—591no—
1104C2×D8—591no—
1105C2×D8—591no—
1106C2×M16—591no—
1107C2×M16—591no—
1108C2×M16—591no—
1109C2×M16—591no—
1110C2×M16C22×D5911yescharacteristic
1111C2×M16C22×D5911yescharacteristic
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—21no—
1127#125—591no—
1128#125—591no—
1129#125—1181no—
1130#125—1181no—
1131#125—1181no—
1132#125C22×D5911yescharacteristic
1133#125C22×D5911yescharacteristic
1134#124—591no—
1135#124—591no—
1136#124—591no—
1137#124—591no—
1138#124—1181no—
1139#124—1181no—
1140#124—1181no—
1141#124—1181no—
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—21no—
1175#121—591no—
1176#121—591no—
1177#121—591no—
1178#121—591no—
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—591no—
1203C4×Q8—1181no—
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—591no—
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—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×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—591no—
1248#117—591no—
1249#117—591no—
1250#117—591no—
1251#117—1181no—
1252#117—1181no—
1253#117—1181no—
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#117C22×D5911yescharacteristic
1263#117C22×D5911yescharacteristic
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—1181no—
1266C2×C4⋊C4—1181no—
1267C2×C4⋊C4—1181no—
1268C2×C4⋊C4C22×D5911yescharacteristic
1269C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1280C2×C42—1181no—
1281C2×C42—1181no—
1282C2×C42—1181no—
1283#107—591no—
1284#107—591no—
1285#107—591no—
1286#107—591no—
1287#107C22×D5911yescharacteristic
1288#107C22×D5911yescharacteristic
1289#107C22×D5911yescharacteristic
1290#107C22×D5911yescharacteristic
1291#106—591no—
1292#106—591no—
1293#106—591no—
1294#106C22×D5911yescharacteristic
1295#106C22×D5911yescharacteristic
1296#106C22×D5911yescharacteristic
1297#106C22×D5911yescharacteristic
1298#106C22×D5911yescharacteristic
1299C4⋊C8—591no—
1300C4⋊C8—591no—
1301C4⋊C8—591no—
1302C4⋊C8—591no—
1303C4⋊C8—591no—
1304C4⋊C8C22×D5911yescharacteristic
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#103—591no—
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#102—591no—
1334#102C22×D5911yescharacteristic
1335#102C22×D5911yescharacteristic
1336#102C22×D5911yescharacteristic
1337C22⋊C8—591no—
1338C22⋊C8—591no—
1339C22⋊C8—591no—
1340C22⋊C8—591no—
1341C22⋊C8C22×D5911yescharacteristic
1342C22⋊C8C22×D5911yescharacteristic
1343#97—591no—
1344#97—591no—
1345#97—591no—
1346#97—591no—
1347C4×C8—591no—
1348C4×C8—591no—
1349C4×C8—591no—
1350C4×C8—591no—
1351C4×C8—591no—
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—2361no—
1362#41—2362no—
1363#41—2361no—
1364C2×Q8—591no—
1365C2×Q8—591no—
1366C2×Q8—591no—
1367C2×Q8—1181no—
1368C2×Q8—1181no—
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—1182no—
1380C2×D4—1181no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4—1181no—
1385C2×D4—1181no—
1386C2×D4—1182no—
1387C2×D4—1181no—
1388C2×D4—1181no—
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×D4D4×D5911yescharacteristic
1398C2×D4C23×D5911yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
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—1181no—
1426C22×C4—4722no—
1427C22×C4—4722no—
1428C22×C4—2364no—
1429C22×C4C23×D5911yescharacteristic
1430C22×C4C23×D5911yescharacteristic
1431Q16—2361no—
1432Q16—2361no—
1433SD16—22no—
1434SD16—1182no—
1435SD16—1182no—
1436SD16—1182no—
1437SD16—1182no—
1438SD16—1182no—
1439SD16—2361no—
1440SD16—2361no—
1441D8—594no—
1442D8—1182no—
1443D8—1182no—
1444D8—1182no—
1445D8—2361no—
1446D8—2361no—
1447M16—22no—
1448M16—22no—
1449M16—1182no—
1450M16—2361no—
1451M16—2361no—
1452M16—2361no—
1453C2×C8—591no—
1454C2×C8—591no—
1455C2×C8—591no—
1456C2×C8—591no—
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—21no—
1470C4⋊C4—591no—
1471C4⋊C4—591no—
1472C4⋊C4—591no—
1473C4⋊C4—591no—
1474C4⋊C4—591no—
1475C4⋊C4—591no—
1476C4⋊C4—591no—
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⋊C4—1181no—
1492C4⋊C4—1181no—
1493C4⋊C4—1181no—
1494C4⋊C4—1181no—
1495C4⋊C4D4×D5911yescharacteristic
1496C4⋊C4C23×D5911yescharacteristic
1497C4⋊C4C23×D5911yescharacteristic
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—591no—
1510C22⋊C4—591no—
1511C22⋊C4—591no—
1512C22⋊C4—591no—
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—
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⋊C4D4×D5911yescharacteristic
1544C22⋊C4D4×D5911yescharacteristic
1545C42—21no—
1546C42—21no—
1547C42—21no—
1548C42—591no—
1549C42—591no—
1550C42—591no—
1551C42—591no—
1552C42—591no—
1553C42—591no—
1554C42—591no—
1555C42—591no—
1556C42—591no—
1557C42—1181no—
1558C42—1181no—
1559C42—1181no—
1560C42—1181no—
1561C42—1181no—
1562C42—1181no—
1563C42C23×D5911yescharacteristic
1564C23—21no—
1565C23—591no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—4721no—
1571C23—4721no—
1572C23—4721no—
1573C23—2362no—
1574C23—2362no—
1575C23—2362no—
1576C23—2362no—
1577C23—2362no—
1578C23—2362no—
1579C23C2×D4×D5911yescharacteristic
1580C23C2×D4×D5911yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—1182no—
1584Q8—1181no—
1585Q8—1181no—
1586Q8—1181no—
1587Q8—1181no—
1588Q8—4721no—
1589Q8—4721no—
1590D4—21no—
1591D4—21no—
1592D4—41no—
1593D4—42no—
1594D4—81no—
1595D4—592no—
1596D4—592no—
1597D4—1182no—
1598D4—1181no—
1599D4—1181no—
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—2362no—
1613D4—2361no—
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—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—42no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—591no—
1632C2×C4—591no—
1633C2×C4—591no—
1634C2×C4—591no—
1635C2×C4—591no—
1636C2×C4—591no—
1637C2×C4—591no—
1638C2×C4—1182no—
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—2361no—
1652C2×C4—2361no—
1653C2×C4—2362no—
1654C2×C4—2362no—
1655C2×C4—2362no—
1656C2×C4—2362no—
1657C2×C4—2362no—
1658C2×C4—2362no—
1659C2×C4—2362no—
1660C2×C4—2362no—
1661C2×C4—2362no—
1662C2×C4—2362no—
1663C2×C4—2361no—
1664C2×C4—2361no—
1665C2×C4—2361no—
1666C2×C4—2362no—
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—21no—
1684C22—21no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—1181no—
1690C22—1181no—
1691C22—1182no—
1692C22—1182no—
1693C22—1181no—
1694C22—4724no—
1695C22—4724no—
1696C22—4724no—
1697C22—2361no—
1698C22—2361no—
1699C22—2361no—
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—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—592no—
1720C4—1181no—
1721C4—1181no—
1722C4—1181no—
1723C4—1181no—
1724C4—1181no—
1725C4—1181no—
1726C4—2361no—
1727C4—2361no—
1728C4—2361no—
1729C4—2361no—
1730C4C2×#41×D5911yescharacteristic
1731C4#1683823911yescharacteristic
1732C2—41no—
1733C2—41no—
1734C2—81no—
1735C2—4721no—
1736C2—4721no—
1737C2—2361no—
1738C2—2362no—
1739C2—2362no—
1740C2#2143758311yescharacteristic
1741C2#575×D5911yescharacteristic
1742C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3351C2
socleC22×C59C23×D4
hypercenter#3351D59
hypocenterC59#61464
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3351

Complements

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

NH ≅ G/Ntype
1. #21437703C2semidirect
2. #21437661C2semidirect
3. #21437093C2semidirect
4. #21436960C2semidirect
5. #21436759C2semidirect
6. #21436748C2semidirect
7. #21436718C2semidirect
8. #21436652C2semidirect
9. #21436410C2semidirect
10. #21436336C2semidirect
11. #21436315C2semidirect
12. #21436306C2semidirect
13. #21436295C2semidirect
14. #21436291C2semidirect
15. #21435708C2semidirect
16. #21435704C2semidirect
17. #21435693C2semidirect
18. #21434827C2semidirect
19. #21434818C2semidirect
20. #21434809C2semidirect
21. #21434253C2semidirect
22. #21434239C2semidirect
23. #21434237C2semidirect
24. #21434212C2semidirect
25. #21434200C2semidirect
26. #21434184C2semidirect
27. #21433112C2semidirect
28. C4×#14273754C2semidirect
29. #21432903C2semidirect
30. #21432903C2semidirect
31. C59×#3351C2semidirect
35. #16838135C22semidirect
36. #16838124C22semidirect
38. #16838108C22semidirect
39. #16838108C22semidirect
40. #16838107C22semidirect
44. #16838087C22semidirect
53. #16838048C22semidirect
54. #16838043C22semidirect
56. #16838036C22semidirect
57. #16837954C22semidirect
59. #16837938C22semidirect
61. #16837937C22semidirect
62. #16837937C22semidirect
65. #16837933C22semidirect
69. C4×#11745689C22semidirect
71. #16837870C22semidirect
73. C2×#14273689C22semidirect
74. C2×#14273689C22semidirect
76. C4×D4×D59C22semidirect
78. #16837806C22semidirect
79. #16837803C22semidirect
80. #16837786C22semidirect
81. #16837783C22semidirect
82. #16837773C22semidirect
83. #16837759C22semidirect
84. #16837759C22semidirect
85. #16837758C22semidirect
86. #16837755C22semidirect
87. #16837751C22semidirect
88. #16837747C22semidirect
89. #16837746C22semidirect
90. #16837743C22semidirect
91. #16837743C22semidirect
92. #16837734C22semidirect
93. #16837729C22semidirect
94. #16837720C22semidirect
95. #16837717C22semidirect
96. #16837715C22semidirect
97. #16837708C22semidirect
98. #16837701C22semidirect
99. #16837701C22semidirect
100. #16837701C22semidirect
101. #16837699C22semidirect
102. #16837699C22semidirect
103. #16837696C22semidirect
104. #16837691C22semidirect
105. #16837691C22semidirect
106. #16837691C22semidirect
107. #16837661C22semidirect
108. #16837658C22semidirect
111. #16837650C22semidirect
112. #16837649C22semidirect
113. #16837649C22semidirect
114. #16837648C22semidirect
115. #16837648C22semidirect
116. #16837646C22semidirect
117. #16837624C22semidirect
118. #16837623C22semidirect
120. #16837620C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837616C22semidirect
125. #16837611C22semidirect
126. #16837606C22semidirect
129. #16837567C22semidirect
131. #16837566C22semidirect
133. #16837554C22semidirect
134. #16837552C22semidirect
138. #16837538C22semidirect
140. #16837535C22semidirect
141. C8×Dic118C22semidirect
142. #16837526C22semidirect
145. #16837513C22semidirect
146. #16837513C22semidirect
147. #16837511C22semidirect
148. #16837511C22semidirect
149. #16837508C22semidirect
150. #16837506C22semidirect
151. #16837505C22semidirect
152. #16837505C22semidirect
153. #16837503C22semidirect
154. #16837501C22semidirect
155. #16837501C22semidirect
156. #16837501C22semidirect
157. #16837501C22semidirect
158. #16837499C22semidirect
159. C4×#11745671C22semidirect
160. #16837489C22semidirect
161. #16837489C22semidirect
162. #16837489C22semidirect
163. #16837489C22semidirect
168. #16837484C22semidirect
169. C4×#11745669C22semidirect
170. #16837480C22semidirect
171. #16837478C22semidirect
172. #16837478C22semidirect
173. #16837477C22semidirect
174. #16837477C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837441C22semidirect
179. #16837406C22semidirect
180. #16837406C22semidirect
181. #16837405C22semidirect
182. #16837402C22semidirect
184. #16837401C22semidirect
185. M16×Dic59C22semidirect
186. M16×Dic59C22semidirect
187. C4×#11745659C22semidirect
189. C59×#552C22semidirect
190. C59×#499C22semidirect
191. C59×#485C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#481C22semidirect
195. C59×#479C22semidirect
196. C59×#478C22semidirect
197. C59×#468C22semidirect
198. C59×#468C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#428C22semidirect
202. C59×#428C22semidirect
685. D472#41semidirect
869. #3351D59semidirect
918. #552C2×D59semidirect
953. #499C2×D59semidirect
966. #485C2×D59semidirect
968. #483C2×D59semidirect
970. #482C2×D59semidirect
972. #481C2×D59semidirect
976. #479C2×D59semidirect
982. #478C2×D59semidirect
997. #468C2×D59semidirect
998. #468C2×D59semidirect
1046. C4×SD16C2×D59semidirect
1058. #436C2×D59semidirect
1063. #428C2×D59semidirect
1064. #428C2×D59semidirect
1074. C59#61464semidirect

Maximal subgroups

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

subgroupindex
#214377032
#214376612
#214370932
#214369602
#214367592
#214367482
#214367182
#214366522
#214364102
#214363362
#214363152
#214363062
#214362952
#214362912
#214357082
#214357042
#214356932
#214348272
#214348182
#214348092
#214342532
#214342392
#214342372
#214342122
#214342002
#214341842
#214331122
C4×#142737542
#214329032
C59×#33512
#6146459