Finite Group Databasebeta

← #29470337

Subgroups — #29470337

Order 15104.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1798 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437690C211yesmaximal, characteristic, complemented
2#21437583C211yesmaximal, characteristic, complemented
3#21437139C211yesmaximal, characteristic, complemented
4#21437014C211yesmaximal, characteristic, complemented
5#21436891C211yesmaximal, characteristic, complemented
6#21436828C211yesmaximal, characteristic, complemented
7#21436676C211yesmaximal, characteristic, complemented
8#21436562C211yesmaximal, characteristic, complemented
9#21436421C211yesmaximal, characteristic, complemented
10#21436325C211yesmaximal, characteristic, complemented
11#21436235C211yesmaximal, characteristic, complemented
12#21436231C211yesmaximal, characteristic, complemented
13#21436085C211yesmaximal, characteristic, complemented
14#21436081C211yesmaximal, characteristic, complemented
15#21435713C211yesmaximal, characteristic, complemented
16#21435596C211yesmaximal, characteristic, complemented
17#21435588C211yesmaximal, characteristic, complemented
18#21434693C211yesmaximal, characteristic, complemented
19#21434686C211yesmaximal, characteristic, complemented
20#21434670C211yesmaximal, characteristic, complemented
21#21434158C211yesmaximal, characteristic, complemented
22#21434151C211yesmaximal, characteristic, complemented
23#21434148C211yesmaximal, characteristic, complemented
24#21434140C211yesmaximal, characteristic, complemented
25#21434124C211yesmaximal, characteristic, complemented
26#21434093C211yesmaximal, characteristic, complemented
27#21433056C211yesmaximal, characteristic, complemented
28#21432907C211yesmaximal, characteristic, complemented
29#21432903C211yesmaximal, characteristic, complemented
30C2×#16837489C211yesmaximal, characteristic, complemented
31C59×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273755C2211yescharacteristic
34C2×#14273751C2211yescharacteristic
35C22×#11745660C2211yescharacteristic
36#16838136—21no—
37#16838135C2211yescharacteristic, complemented
38#16838129C2211yescharacteristic, complemented
39#16838120C2211yescharacteristic, complemented
40#16838119—21no—
41#16838101—21no—
42#16838100C2211yescharacteristic, complemented
43#16838095—21no—
44#16838073C2211yescharacteristic
45#16838070C2211yescharacteristic, complemented
46#16838067C2211yescharacteristic
47#16838062—21no—
48#16838061C2211yescharacteristic, complemented
49#16838058C2211yescharacteristic, complemented
50#16838053C2211yescharacteristic
51#16838053C2211yescharacteristic
52#16838044—21no—
53#16838044—21no—
54#16838040—21no—
55D4×D236C2211yescharacteristic
56#16838036C2211yescharacteristic
57#16838036C2211yescharacteristic
58#16837953C2211yescharacteristic
59#16837947—21no—
60#16837947C2211yescharacteristic
61#16837947C2211yescharacteristic
62#16837947C2211yescharacteristic, complemented
63#16837937C2211yescharacteristic, complemented
64#16837935—21no—
65#16837933C2211yescharacteristic, complemented
66#16837929—21no—
67#16837915—21no—
68#16837910—21no—
69#16837910—21no—
70#16837870C2211yescharacteristic, complemented
71C4×#11745687—21no—
72C4×#11745687C2211yescharacteristic
73C4×#11745687C2211yescharacteristic, complemented
74C2×#14273692C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic
76C2×#14273689C2211yescharacteristic
77C4×D4×D59C2211yescharacteristic
78#16837809C2211yescharacteristic, complemented
79#16837806C2211yescharacteristic, complemented
80#16837791C2211yescharacteristic, complemented
81#16837790C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837768C2211yescharacteristic, complemented
84#16837765C2211yescharacteristic, complemented
85#16837764C2211yescharacteristic, complemented
86#16837760C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837739C2211yescharacteristic, complemented
90#16837737C2211yescharacteristic, complemented
91#16837728C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837726C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837715C2211yescharacteristic, complemented
97#16837701C2211yescharacteristic
98#16837701C2211yescharacteristic, complemented
99#16837699C2211yescharacteristic
100#16837696C2211yescharacteristic, complemented
101#16837694C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837686C2211yescharacteristic, complemented
104#16837686C2211yescharacteristic, complemented
105#16837681C2211yescharacteristic
106#16837681C2211yescharacteristic, complemented
107#16837656C2211yescharacteristic, complemented
108#16837656C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837648C2211yescharacteristic, complemented
113#16837646C2211yescharacteristic, complemented
114#16837638C2211yescharacteristic, complemented
115#16837636C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic
118#16837617C2211yescharacteristic, complemented
119#16837616C2211yescharacteristic
120#16837616C2211yescharacteristic, complemented
121#16837603C2211yescharacteristic, complemented
122#16837601C2211yescharacteristic, complemented
123#16837601C2211yescharacteristic, complemented
124#16837601C2211yescharacteristic, complemented
125#16837597C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic
127#16837596C2211yescharacteristic, complemented
128#16837596C2211yescharacteristic, complemented
129#16837555C2211yescharacteristic
130#16837554C2211yescharacteristic
131#16837549C2211yescharacteristic, complemented
132#16837548C2211yescharacteristic, complemented
133#16837548C2211yescharacteristic, complemented
134#16837545C2211yescharacteristic, complemented
135#16837543C2211yescharacteristic, complemented
136#16837540C2211yescharacteristic, complemented
137#16837538C2211yescharacteristic
138#16837537C2211yescharacteristic
139#16837535C2211yescharacteristic
140#16837535C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837513C2211yescharacteristic
144#16837513C2211yescharacteristic, complemented
145#16837512C2211yescharacteristic
146#16837504C2211yescharacteristic
147#16837502C2211yescharacteristic, complemented
148#16837501C2211yescharacteristic
149#16837501C2211yescharacteristic, complemented
150#16837493C2211yescharacteristic, complemented
151#16837493C2211yescharacteristic, complemented
152#16837489C2211yescharacteristic
153#16837489C2211yescharacteristic
154#16837489C2211yescharacteristic
155#16837489C2211yescharacteristic
156#16837489C2211yescharacteristic, complemented
157#16837489C2211yescharacteristic, complemented
158#16837489C2211yescharacteristic, complemented
159#16837489C2211yescharacteristic, complemented
160#16837489C2211yescharacteristic, complemented
161#16837489C2211yescharacteristic, complemented
162D8×Dic59C2211yescharacteristic, complemented
163#16837484C2211yescharacteristic
164#16837484C2211yescharacteristic, complemented
165#16837484C2211yescharacteristic, complemented
166#16837482C2211yescharacteristic
167#16837482C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837482C2211yescharacteristic, complemented
170#16837478C2211yescharacteristic, complemented
171#16837477C2211yescharacteristic, complemented
172#16837474C2211yescharacteristic, complemented
173#16837473C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837452C2211yescharacteristic, complemented
178#16837441C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic
180#16837405C2211yescharacteristic
181#16837401C2211yescharacteristic, complemented
182#16837400C2211yescharacteristic, complemented
183C2×#14273650C2211yescharacteristic, complemented
184C2×#14273647C2211yescharacteristic
185#16837354C2211yescharacteristic, complemented
186M16×Dic59C2211yescharacteristic, complemented
187C2×C8×Dic59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#501C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#481C2211yescharacteristic, complemented
194C59×#480C2211yescharacteristic, complemented
195C59×#478C2211yescharacteristic, complemented
196C59×#476C2211yescharacteristic, complemented
197C59×#469C2211yescharacteristic, complemented
198C59×#466C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#428C2211yescharacteristic, complemented
202C2×#106×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687D411yescharacteristic
212C2×#11745687C2311yescharacteristic
213#41×D59—48no—
214C22×Dic118C2311yescharacteristic
215C2×Q8×D59—21no—
216C22×D236C2311yescharacteristic
217C22×D236C2311yescharacteristic
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59C2311yescharacteristic
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224C22×C4×D59—21no—
225#14273755—24no—
226#14273751—24no—
227C2×#11745660—24no—
228C2×#11745660C2311yescharacteristic
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745660C2311yescharacteristic
233C2×#11745660C2311yescharacteristic
234C2×#11745670C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745664C2311yescharacteristic
244C2×#11745659C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247#14273726—21no—
248#14273726C2311yescharacteristic
249#14273726C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273724C2311yescharacteristic
252#14273723—21no—
253#14273723C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273722—21no—
257#14273722—21no—
258#14273721—21no—
259#14273720—21no—
260#14273720—21no—
261#14273718C2311yescharacteristic
262#14273717—21no—
263#14273717—21no—
264#14273716—21no—
265#14273715C2311yescharacteristic
266#14273714C2311yescharacteristic
267#14273713—21no—
268#14273713—21no—
269#14273713—21no—
270#14273713—21no—
271#14273713—21no—
272#14273713—21no—
273#14273713—21no—
274#14273712—21no—
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273710—21no—
279#14273710—21no—
280#14273710—21no—
281#14273709—21no—
282#14273708—21no—
283#14273707C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273704—21no—
291#14273703—21no—
292#14273702—21no—
293#14273702—21no—
294#14273702C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273702C2311yescharacteristic
297#14273701—21no—
298#14273701—21no—
299#14273701C2311yescharacteristic
300#14273701C2311yescharacteristic
301#14273701C2311yescharacteristic
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273699—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273699—21no—
312#14273699—21no—
313#14273697—21no—
314#14273697—21no—
315#14273697—21no—
316#14273697—21no—
317#14273695—21no—
318#14273695—21no—
319C4×Dic118—21no—
320C4×Dic118C2311yescharacteristic
321C4×Dic118C2311yescharacteristic
322#14273692—21no—
323#14273692—21no—
324#14273692—21no—
325#14273692D411yescharacteristic
326#14273692C2311yescharacteristic
327#14273692C2311yescharacteristic
328#14273692C2311yescharacteristic
329#14273692C2311yescharacteristic
330#14273692C2311yescharacteristic
331C4×D236C2311yescharacteristic
332D4×Dic59—21no—
333D4×Dic59—21no—
334D4×Dic59D411yescharacteristic
335D4×Dic59C2311yescharacteristic
336D4×Dic59C2311yescharacteristic
337#14273689—21no—
338#14273689—21no—
339#14273689—21no—
340#14273689—21no—
341#14273689—21no—
342#14273689—21no—
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350#14273689C2311yescharacteristic
351#14273689C2311yescharacteristic
352C4×C22⋊D59—21no—
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59C2311yescharacteristic
357C4×C22⋊D59C2311yescharacteristic
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4D411yescharacteristic
368(C22⋊D59)⋊C4D411yescharacteristic
369#14273685—21no—
370#14273685D411yescharacteristic
371#14273685C2311yescharacteristic
372#14273684—21no—
373#14273683—21no—
374#14273683—21no—
375#14273683D411yescharacteristic
376#14273683D411yescharacteristic
377C2×Dic59⋊C4—21no—
378C4⋊C4×D59C2311yescharacteristic
379C2×(C2×D59)⋊C4—21no—
380C2×(C2×D59)⋊C4—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59—21no—
384C2×C4×Dic59C2311yescharacteristic
385C2×C4×Dic59C2311yescharacteristic
386C42×D59—21no—
387C42×D59C2311yescharacteristic
388#14273661C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273660C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273652C2311yescharacteristic
402#14273650C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273650C2311yescharacteristic
405#14273650C2311yescharacteristic
406#14273650C2311yescharacteristic
407#14273650C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273648C2311yescharacteristic
413#14273648C2311yescharacteristic
414#14273647C2311yescharacteristic
415#14273647C2311yescharacteristic
416#14273647C2311yescharacteristic
417#14273647C2311yescharacteristic
418#14273647C2311yescharacteristic
419#14273647C2311yescharacteristic
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#14273638C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433C8×Dic59C2311yescharacteristic
434C8×Dic59C2311yescharacteristic
435C8×Dic59C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59—21no—
440C2×D8×C59C2311yescharacteristic
441C2×M16×C59C2311yescharacteristic
442C22×C8×C59C2311yescharacteristic
443C4⋊Q8×C59C2311yescharacteristic
444#126×C59—21no—
445#125×C59C2311yescharacteristic
446#123×C59—21no—
447#123×C59—21no—
448#123×C59—21no—
449C22⋊Q8×C59—21no—
450#121×C59—21no—
451#121×C59C2311yescharacteristic
452#121×C59C2311yescharacteristic
453#121×C59C2311yescharacteristic
454#121×C59C2311yescharacteristic
455C4×D4×C59—21no—
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59C2311yescharacteristic
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C4⋊C4×C59C2311yescharacteristic
462C2×C4⋊C4×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
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479C22⋊C8×C59C2311yescharacteristic
480C22⋊C8×C59C2311yescharacteristic
481#97×C59C2311yescharacteristic
482C23×D59—21no—
483C23×D59—21no—
484C23×D59—21no—
485#41×C59—44no—
486C2×Q8×C59—21no—
487C2×D4×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59C2×D411yescharacteristic
492C2×D4×C59C2411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59C2411yescharacteristic
500C22×C4×C59C2411yescharacteristic
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59—21no—
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59C2×D411yescharacteristic
514C2×C22⋊D59C2×D411yescharacteristic
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59C2×D411yescharacteristic
520C22×Dic59C2×D411yescharacteristic
521C22×Dic59C2×D411yescharacteristic
522C22×Dic59C2×D411yescharacteristic
523#11745689—44no—
524Q8×D59—44no—
525#11745687—24no—
526#11745687—22no—
527#11745687—41no—
528#11745687—44no—
529#11745687—44no—
530#11745687—44no—
531D4×D59—22no—
532D4×D59—41no—
533D4×D59—44no—
534D4×D59—44no—
535D4×D59—44no—
536#11745685—22no—
537#11745685—41no—
538#11745685—44no—
539#11745685—44no—
540#11745685—44no—
541C2×D236—22no—
542C2×D236—22no—
543C2×D236—21no—
544C2×D236—21no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—41no—
551C2×D236—41no—
552C2×D236C2411yescharacteristic
553C2×D236C2411yescharacteristic
554C2×D236C2411yescharacteristic
555C2×D236C2411yescharacteristic
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—21no—
560C2×C4×D59—21no—
561C2×C4×D59—21no—
562C2×C4×D59—21no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—44no—
569C2×C4×D59—44no—
570C2×C4×D59—44no—
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2411yescharacteristic
574C2×Dic118—22no—
575C2×Dic118—21no—
576C2×Dic118—21no—
577C2×Dic118—21no—
578C2×Dic118—21no—
579C2×Dic118—41no—
580C2×Dic118C2×D411yescharacteristic
581C2×Dic118C2411yescharacteristic
582C2×Dic118C2411yescharacteristic
583D8×C59—22no—
584M16×C59—22no—
585C2×C8×C59—22no—
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C2×C8×C59C2411yescharacteristic
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59C2×D411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C4⋊C4×C59C2411yescharacteristic
602C4⋊C4×C59C2411yescharacteristic
603C22⋊C4×C59—21no—
604C22⋊C4×C59—21no—
605C22⋊C4×C59—21no—
606C22⋊C4×C59—21no—
607C22⋊C4×C59—21no—
608C22⋊C4×C59—21no—
609C22⋊C4×C59—21no—
610C22⋊C4×C59C2×D411yescharacteristic
611C22⋊C4×C59C2×D411yescharacteristic
612C42×C59—21no—
613C42×C59C2411yescharacteristic
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59C2×D411yescharacteristic
620C22⋊Dic59C2×D411yescharacteristic
621#11745670—22no—
622#11745670—41no—
623#11745669—22no—
624#11745669—41no—
625#11745669—41no—
626#11745669—41no—
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)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4C2×D411yescharacteristic
648(C2×D59)⋊C4C2×D411yescharacteristic
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2×D411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4C2×D411yescharacteristic
667Dic59⋊C4C2×D411yescharacteristic
668Dic59⋊C4C2×D411yescharacteristic
669Dic59⋊C4C2×D411yescharacteristic
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59C2×D411yescharacteristic
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2×D411yescharacteristic
682C4×Dic59C2×D411yescharacteristic
683C4×Dic59C2411yescharacteristic
684C4×Dic59C2411yescharacteristic
685C4×Dic59C2411yescharacteristic
686#11745664—41no—
687C2×C59⋊C8—41no—
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692D472—22no—
693D472—22no—
694D472—41no—
695#11745660—22no—
696#11745660—22no—
697#11745660—22no—
698#11745660—22no—
699#11745660—41no—
700#11745660#4114yescomplemented
701#11745659—22no—
702#11745659—41no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59C22×D411yescharacteristic
706C23×C59C22×D411yescharacteristic
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—42no—
712C22×D59—42no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59C22×D411yescharacteristic
721Q8×C59—42no—
722D4×C59—22no—
723D4×C59—21no—
724D4×C59—21no—
725D4×C59—21no—
726D4×C59—21no—
727D4×C59—42no—
728D4×C59—42no—
729D4×C59—42no—
730D4×C59—81no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—42no—
742C2×C4×C59—42no—
743C2×C4×C59—42no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C2511yescharacteristic
751C22⋊D59—22no—
752C22⋊D59—22no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—42no—
761C22⋊D59—42no—
762C22⋊D59—81no—
763C22⋊D59—81no—
764C22⋊D59—81no—
765C2×Dic59—21no—
766C2×Dic59—22no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—41no—
771C2×Dic59—41no—
772C2×Dic59—42no—
773C2×Dic59—42no—
774C2×Dic59—42no—
775C2×Dic59—42no—
776C2×Dic59AGL(1,ℤ/8)14yescomplemented
777C2×Dic59C22×D411yescharacteristic
778C2×Dic59C22×D411yescharacteristic
779C2×Dic59C22×D411yescharacteristic
780C2×Dic59C22×D411yescharacteristic
781C2×Dic59C22×D411yescharacteristic
782C2×Dic59C22×D411yescharacteristic
783C2×Dic59C22×D411yescharacteristic
784D236—21no—
785D236—21no—
786D236—21no—
787D236—21no—
788D236—21no—
789D236—21no—
790D236—21no—
791D236—42no—
792D236—42no—
793D236—42no—
794D236—42no—
795D236—42no—
796D236—81no—
797D236—81no—
798D236C2×#4112yes—
799C4×D59—21no—
800C4×D59—21no—
801C4×D59—22no—
802C4×D59—41no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—42no—
809C4×D59—42no—
810C4×D59—42no—
811C4×D59—42no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—81no—
815Dic118—21no—
816Dic118—22no—
817Dic118—21no—
818Dic118—21no—
819Dic118—42no—
820Dic118—42no—
821Dic118—42no—
822Dic118—42no—
823Dic118C2×#4112yescomplemented
824C8×C59—21no—
825C8×C59—21no—
826C8×C59—21no—
827C8×C59C2×#4112yescomplemented
828C59⋊C8—21no—
829C59⋊C8—21no—
830C59⋊C8—21no—
831C59⋊C8—21no—
832#61439—591nomaximal, Sylow
833C22×C59—21no—
834C22×C59—21no—
835C22×C59—21no—
836C22×C59—21no—
837C22×C59—21no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59C2×AGL(1,ℤ/8)12yes—
845C22×C59C23×D411yescharacteristic
846C2×D59—21no—
847C2×D59—21no—
848C2×D59—22no—
849C2×D59—21no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—84no—
862C2×D59—84no—
863C2×D59—84no—
864C4×C59—21no—
865C4×C59—21no—
866C4×C59—21no—
867C4×C59—21no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59C22×#4111yescharacteristic
875C4×C59#58511yescharacteristic
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—22no—
880Dic59—21no—
881Dic59—21no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59C2×AGL(1,ℤ/8)12yes—
886Dic59C2×AGL(1,ℤ/8)12yes—
887#3480—591no—
888D4×#41—591no—
889#3399—591no—
890#3386—591no—
891#3373—591no—
892#3368—591no—
893#3353—591no—
894#3345—591no—
895#3345D5911yescharacteristic, complemented
896#3332—591no—
897#3324—591no—
898#3318—591no—
899#3318—591no—
900#3308—591no—
901#3308—591no—
902#3274—591no—
903#3265—591no—
904#3265—591no—
905#3171—591no—
906#3171—591no—
907#3169—591no—
908#3106—591no—
909#3106—591no—
910#3105—591no—
911#3105—591no—
912#3103—591no—
913#3100—591no—
914#2965—591no—
915C4×AGL(1,ℤ/8)—591no—
916C4×AGL(1,ℤ/8)—591no—
917C2×C4×SD16—591no—
918C2×C59—22no—
919C2×C59—41no—
920C2×C59—81no—
921C2×C59—81no—
922C2×C59D4×#4111yescharacteristic
923C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
924C2×C59#358411yescharacteristic
925D59—41no—
926D59—42no—
927D59—81no—
928D59—81no—
929D59—81no—
930C22×#41—1181no—
931C2×AGL(1,ℤ/8)—591no—
932C2×AGL(1,ℤ/8)—591no—
933C22×SD16—591no—
934#559—591no—
935#559—1181no—
936#557—591no—
937#556—591no—
938#556—1181no—
939#553—591no—
940#553—1181no—
941#553—1181no—
942#553C2×D5911yescharacteristic, complemented
943#550—591no—
944#550—591no—
945D4×Q8—591no—
946#548—591no—
947#548—591no—
948#548—1181no—
949#547—591no—
950#547—591no—
951#547C2×D5911yescharacteristic
952#546—1181no—
953#546—1181no—
954#546—1181no—
955D42—591no—
956D42—591no—
957D42—591no—
958#532—591no—
959#532—591no—
960#532—591no—
961#532—591no—
962#532—1181no—
963#529—591no—
964#529—591no—
965#529—1181no—
966#529—1181no—
967#525—1181no—
968#525—1181no—
969#525—1181no—
970C4×#41—591no—
971C4×#41—591no—
972C4×#41—591no—
973C4×#41—1181no—
974C2×C4×Q8—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978#501—591no—
979#501C2×D5911yescharacteristic, complemented
980#500—591no—
981#496—591no—
982#496—591no—
983#493—591no—
984#490—591no—
985#490—591no—
986#489—591no—
987#489—591no—
988#486—591no—
989#486—591no—
990#484—591no—
991#484—591no—
992#482—591no—
993#482—591no—
994#482—591no—
995#482C2×D5911yescharacteristic, complemented
996#481—591no—
997#481—591no—
998#481C2×D5911yescharacteristic, complemented
999#481C2×D5911yescharacteristic, complemented
1000#480—591no—
1001#480C2×D5911yescharacteristic, complemented
1002#478—591no—
1003#478—591no—
1004#478—591no—
1005#478C2×D5911yescharacteristic, complemented
1006#477—591no—
1007#477—591no—
1008#476—591no—
1009#476C2×D5911yescharacteristic, complemented
1010#475—591no—
1011#475—591no—
1012#474—591no—
1013#474—591no—
1014#469—591no—
1015#469—591no—
1016#469—591no—
1017#469C2×D5911yescharacteristic, complemented
1018#468—591no—
1019#468—591no—
1020#468—591no—
1021#468—591no—
1022#466—591no—
1023#466—591no—
1024#466—591no—
1025#466C2×D5911yescharacteristic, complemented
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#460—591no—
1031#460—591no—
1032#460—591no—
1033#460—591no—
1034#459—591no—
1035#459—591no—
1036#459—591no—
1037#459—591no—
1038#450—591no—
1039#450—591no—
1040#449—591no—
1041#449—591no—
1042#449—591no—
1043#449—591no—
1044#448—591no—
1045#448—591no—
1046#447—591no—
1047#447—591no—
1048#447—591no—
1049#447—591no—
1050#446—591no—
1051#446—591no—
1052#442—591no—
1053#442—591no—
1054#442—591no—
1055#442C2×D5911yescharacteristic, complemented
1056#440—591no—
1057#440—591no—
1058#440—591no—
1059#440—591no—
1060C4×SD16—591no—
1061C4×SD16—591no—
1062C4×SD16—591no—
1063C4×SD16—591no—
1064C4×SD16—591no—
1065C4×SD16—591no—
1066C4×SD16—591no—
1067C4×SD16—591no—
1068C4×SD16—591no—
1069C4×SD16—591no—
1070C4×SD16—591no—
1071C4×SD16—591no—
1072C4×D8—591no—
1073C4×D8—591no—
1074C4×D8—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079C4×D8—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435—591no—
1084#435—591no—
1085#435C2×D5911yescharacteristic, complemented
1086#431—591no—
1087#431—591no—
1088#431—591no—
1089#428—591no—
1090#428C2×D5911yescharacteristic, complemented
1091C2×#106C2×D5911yescharacteristic, complemented
1092#418—591no—
1093#418—591no—
1094#417—591no—
1095#417—591no—
1096C2×#103—591no—
1097C2×#102—591no—
1098C4×M16—591no—
1099C4×M16—591no—
1100C2×C4×C8—591no—
1101C59#6143911yescharacteristic, complemented, Sylow
1102C2×#41—21no—
1103C2×#41—591no—
1104C2×#41—591no—
1105C2×#41—591no—
1106C2×#41—1181no—
1107C2×#41—1181no—
1108C2×#41—1181no—
1109C2×#41—1181no—
1110C2×#41—1181no—
1111C2×#41—1181no—
1112C2×#41—1181no—
1113C2×#41—2368no—
1114C22×Q8—591no—
1115C22×Q8—1181no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—1181no—
1120C22×D4—1181no—
1121C22×D4—1181no—
1122C23×C4—1181no—
1123C23×C4—1181no—
1124C23×C4—1181no—
1125AGL(1,ℤ/8)—1184no—
1126AGL(1,ℤ/8)—1184no—
1127C2×SD16—591no—
1128C2×SD16—591no—
1129C2×SD16—591no—
1130C2×SD16—591no—
1131C2×SD16—591no—
1132C2×SD16—591no—
1133C2×SD16—591no—
1134C2×SD16—591no—
1135C2×SD16—1184no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—591no—
1140C2×D8—591no—
1141C2×D8—591no—
1142C2×D8—591no—
1143C2×D8C22×D5911yescharacteristic
1144C2×M16—591no—
1145C2×M16—591no—
1146C2×M16—591no—
1147C2×M16C22×D5911yescharacteristic
1148C22×C8—591no—
1149C22×C8C22×D5911yescharacteristic
1150C4⋊Q8—591no—
1151C4⋊Q8—591no—
1152C4⋊Q8—591no—
1153C4⋊Q8—1181no—
1154C4⋊Q8C22×D5911yescharacteristic
1155#127—591no—
1156#127—591no—
1157#127—591no—
1158#127—591no—
1159#127—1181no—
1160#126—21no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#126—1181no—
1165#126—1181no—
1166#125—591no—
1167#125—1181no—
1168#125—1181no—
1169#125C22×D5911yescharacteristic
1170#124—591no—
1171#124—591no—
1172#124—1181no—
1173#124—1181no—
1174#124—1181no—
1175#124—1181no—
1176#124—1181no—
1177#124—1181no—
1178#124—1181no—
1179#124—1181no—
1180#123—21no—
1181#123—21no—
1182#123—21no—
1183#123—1181no—
1184#123—1181no—
1185#123—1181no—
1186#123—1181no—
1187#123—1181no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192C22⋊Q8—21no—
1193C22⋊Q8—591no—
1194C22⋊Q8—591no—
1195C22⋊Q8—1181no—
1196C22⋊Q8—1181no—
1197C22⋊Q8—1181no—
1198C22⋊Q8—1181no—
1199C22⋊Q8—1181no—
1200C22⋊Q8—1181no—
1201C22⋊Q8—1181no—
1202#121—21no—
1203#121—591no—
1204#121—591no—
1205#121—591no—
1206#121—591no—
1207#121—591no—
1208#121—591no—
1209#121—1181no—
1210#121—1181no—
1211#121—1181no—
1212#121—1181no—
1213#121—1181no—
1214#121—1181no—
1215#121—1181no—
1216#121—1181no—
1217#121—1181no—
1218#121—1181no—
1219#121—1181no—
1220#121—1181no—
1221#121—1181no—
1222#121—1181no—
1223#121—1181no—
1224#121C22×D5911yescharacteristic
1225#121C22×D5911yescharacteristic
1226#121C22×D5911yescharacteristic
1227#121C22×D5911yescharacteristic
1228#120—1181no—
1229#120—1181no—
1230#120—1181no—
1231#120—1181no—
1232#120—1181no—
1233#120—1181no—
1234C4×Q8—591no—
1235C4×Q8—591no—
1236C4×Q8—591no—
1237C4×Q8—591no—
1238C4×Q8—591no—
1239C4×Q8—591no—
1240C4×Q8—591no—
1241C4×Q8—591no—
1242C4×Q8—1181no—
1243C4×Q8—1181no—
1244C4×Q8—1181no—
1245C4×Q8—1181no—
1246C4×D4—21no—
1247C4×D4—591no—
1248C4×D4—591no—
1249C4×D4—591no—
1250C4×D4—591no—
1251C4×D4—591no—
1252C4×D4—591no—
1253C4×D4—591no—
1254C4×D4—591no—
1255C4×D4—591no—
1256C4×D4—591no—
1257C4×D4—591no—
1258C4×D4—591no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—1181no—
1265C4×D4—1181no—
1266C4×D4—1181no—
1267C4×D4—1181no—
1268C4×D4—1181no—
1269C4×D4—1181no—
1270C4×D4—1181no—
1271C4×D4—1181no—
1272C4×D4—1181no—
1273C4×D4—1181no—
1274C4×D4—1181no—
1275C4×D4—1181no—
1276C4×D4—1181no—
1277C4×D4—1181no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4C22×D5911yescharacteristic
1286C4×D4C22×D5911yescharacteristic
1287C4×D4C22×D5911yescharacteristic
1288#117—591no—
1289#117—591no—
1290#117—591no—
1291#117—591no—
1292#117—1181no—
1293#117—1181no—
1294#117—1181no—
1295#117—1181no—
1296#117C22×D5911yescharacteristic
1297C2×C4⋊C4—591no—
1298C2×C4⋊C4—1181no—
1299C2×C4⋊C4C22×D5911yescharacteristic
1300C2×C4⋊C4C22×D5911yescharacteristic
1301C2×C4⋊C4C22×D5911yescharacteristic
1302C2×C22⋊C4—1181no—
1303C2×C22⋊C4—1181no—
1304C2×C22⋊C4—1181no—
1305C2×C42—591no—
1306C2×C42—591no—
1307C2×C42—591no—
1308C2×C42—1181no—
1309C2×C42—1181no—
1310C2×C42—1181no—
1311#107—591no—
1312#107—591no—
1313#107—591no—
1314#107—591no—
1315#107—591no—
1316#107C22×D5911yescharacteristic
1317#107C22×D5911yescharacteristic
1318#107C22×D5911yescharacteristic
1319#106—591no—
1320#106—591no—
1321#106C22×D5911yescharacteristic
1322#106C22×D5911yescharacteristic
1323#106C22×D5911yescharacteristic
1324#106C22×D5911yescharacteristic
1325#106C22×D5911yescharacteristic
1326#106C22×D5911yescharacteristic
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8—591no—
1332C4⋊C8C22×D5911yescharacteristic
1333#103—591no—
1334#103—591no—
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#102—591no—
1342#102—591no—
1343#102—591no—
1344#102—591no—
1345#102—591no—
1346#102—591no—
1347#102—591no—
1348#102—591no—
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102C22×D5911yescharacteristic
1360#102C22×D5911yescharacteristic
1361#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365C22⋊C8—591no—
1366C22⋊C8—591no—
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8C22×D5911yescharacteristic
1370C22⋊C8C22×D5911yescharacteristic
1371#97—591no—
1372#97—591no—
1373#97—591no—
1374#97C22×D5911yescharacteristic
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C4×C8—591no—
1380C4×C8—591no—
1381C24—1181no—
1382C24—1181no—
1383C24—1181no—
1384#41—44no—
1385#41—1182no—
1386#41—1184no—
1387#41—1182no—
1388#41—2361no—
1389#41—2364no—
1390#41—2364no—
1391#41—2364no—
1392#41—2364no—
1393#41—2364no—
1394#41—2361no—
1395#41—2364no—
1396#41—2364no—
1397C2×Q8—21no—
1398C2×Q8—591no—
1399C2×Q8—591no—
1400C2×Q8—591no—
1401C2×Q8—1181no—
1402C2×Q8—1181no—
1403C2×Q8—1181no—
1404C2×Q8—1182no—
1405C2×Q8—1181no—
1406C2×Q8—2361no—
1407C2×Q8—2364no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—591no—
1413C2×D4—591no—
1414C2×D4—591no—
1415C2×D4—591no—
1416C2×D4—591no—
1417C2×D4—591no—
1418C2×D4—1182no—
1419C2×D4—1182no—
1420C2×D4—1181no—
1421C2×D4—1181no—
1422C2×D4—1181no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1182no—
1431C2×D4—1181no—
1432C2×D4—1181no—
1433C2×D4—1181no—
1434C2×D4—1181no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2364no—
1444C2×D4—2364no—
1445C2×D4—2364no—
1446C2×D4D4×D5911yescharacteristic
1447C2×D4C23×D5911yescharacteristic
1448C2×D4C23×D5911yescharacteristic
1449C22×C4—21no—
1450C22×C4—21no—
1451C22×C4—21no—
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—591no—
1455C22×C4—591no—
1456C22×C4—591no—
1457C22×C4—591no—
1458C22×C4—591no—
1459C22×C4—591no—
1460C22×C4—591no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—1181no—
1469C22×C4—1181no—
1470C22×C4—1181no—
1471C22×C4—1181no—
1472C22×C4—1181no—
1473C22×C4—1181no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—2364no—
1478C22×C4—2364no—
1479C22×C4—2364no—
1480C22×C4C23×D5911yescharacteristic
1481C22×C4C23×D5911yescharacteristic
1482SD16—594no—
1483SD16—1182no—
1484SD16—1182no—
1485SD16—1182no—
1486SD16—1182no—
1487SD16—1182no—
1488SD16—2361no—
1489SD16—2361no—
1490D8—22no—
1491D8—1182no—
1492D8—1182no—
1493D8—1182no—
1494D8—2361no—
1495D8—2361no—
1496D8—2361no—
1497D8—2361no—
1498M16—22no—
1499M16—1182no—
1500M16—2361no—
1501M16—2361no—
1502C2×C8—22no—
1503C2×C8—591no—
1504C2×C8—591no—
1505C2×C8—591no—
1506C2×C8—591no—
1507C2×C8—2361no—
1508C2×C8C23×D5911yescharacteristic
1509C2×C8C23×D5911yescharacteristic
1510C2×C8C23×D5911yescharacteristic
1511C2×C8C23×D5911yescharacteristic
1512C4⋊C4—21no—
1513C4⋊C4—21no—
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—591no—
1523C4⋊C4—591no—
1524C4⋊C4—591no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4—1181no—
1536C4⋊C4—1181no—
1537C4⋊C4—1181no—
1538C4⋊C4—1181no—
1539C4⋊C4D4×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C4⋊C4C23×D5911yescharacteristic
1542C4⋊C4C23×D5911yescharacteristic
1543C4⋊C4C23×D5911yescharacteristic
1544C4⋊C4C23×D5911yescharacteristic
1545C4⋊C4C23×D5911yescharacteristic
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4D4×D5911yescharacteristic
1583C22⋊C4D4×D5911yescharacteristic
1584C42—21no—
1585C42—591no—
1586C42—591no—
1587C42—591no—
1588C42—591no—
1589C42—591no—
1590C42—591no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—1181no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42—1181no—
1600C42—1181no—
1601C42C23×D5911yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—591no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—1181no—
1609C23—4721no—
1610C23—4721no—
1611C23—4721no—
1612C23—2362no—
1613C23—2362no—
1614C23—2362no—
1615C23—2362no—
1616C23—2362no—
1617C23—2362no—
1618C23C2×D4×D5911yescharacteristic
1619C23C2×D4×D5911yescharacteristic
1620Q8—42no—
1621Q8—592no—
1622Q8—1182no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—2362no—
1627Q8—2362no—
1628Q8—2362no—
1629Q8—2362no—
1630D4—22no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—42no—
1636D4—42no—
1637D4—42no—
1638D4—81no—
1639D4—592no—
1640D4—1182no—
1641D4—1182no—
1642D4—1181no—
1643D4—1181no—
1644D4—1181no—
1645D4—1181no—
1646D4—1181no—
1647D4—1181no—
1648D4—1181no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—2362no—
1655D4—2362no—
1656D4—2362no—
1657D4—2362no—
1658D4—2362no—
1659D4—2362no—
1660D4—2362no—
1661D4—2362no—
1662D4—2362no—
1663D4—2362no—
1664D4—2362no—
1665D4—2362no—
1666D4—2362no—
1667D4—2362no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—42no—
1679C2×C4—42no—
1680C2×C4—42no—
1681C2×C4—81no—
1682C2×C4—81no—
1683C2×C4—594no—
1684C2×C4—591no—
1685C2×C4—591no—
1686C2×C4—591no—
1687C2×C4—591no—
1688C2×C4—591no—
1689C2×C4—591no—
1690C2×C4—591no—
1691C2×C4—1182no—
1692C2×C4—1182no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—4721no—
1700C2×C4—2361no—
1701C2×C4—2362no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4—2362no—
1705C2×C4—2362no—
1706C2×C4—2362no—
1707C2×C4—2362no—
1708C2×C4—2362no—
1709C2×C4—2362no—
1710C2×C4—2362no—
1711C2×C4—2362no—
1712C2×C4—2362no—
1713C2×C4—2362no—
1714C2×C4—2361no—
1715C2×C4—2361no—
1716C2×C4—2362no—
1717C2×C4—2362no—
1718C2×C4C2×D4×D5911yescharacteristic
1719C2×C4C2×D4×D5911yescharacteristic
1720C2×C4C2×D4×D5911yescharacteristic
1721C2×C4C2×D4×D5911yescharacteristic
1722C2×C4C24×D5911yescharacteristic
1723C8—21no—
1724C8—21no—
1725C8—21no—
1726C8—1181no—
1727C8—1181no—
1728C8—1181no—
1729C8—1181no—
1730C8#41×D5912yescomplemented
1731C22—21no—
1732C22—21no—
1733C22—21no—
1734C22—21no—
1735C22—21no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—1181no—
1743C22—1181no—
1744C22—1182no—
1745C22—1181no—
1746C22—4724no—
1747C22—4724no—
1748C22—4724no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22AGL(1,ℤ/8)×D5912yes—
1761C22C22×D4×D5911yescharacteristic
1762C4—21no—
1763C4—21no—
1764C4—21no—
1765C4—21no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—592no—
1773C4—592no—
1774C4—1181no—
1775C4—1181no—
1776C4—1182no—
1777C4—1181no—
1778C4—1181no—
1779C4—1181no—
1780C4—2361no—
1781C4—2361no—
1782C4—2361no—
1783C4C2×#41×D5911yescharacteristic
1784C4#1683823911yescharacteristic
1785C2—22no—
1786C2—41no—
1787C2—81no—
1788C2—81no—
1789C2—4721no—
1790C2—4721no—
1791C2—4721no—
1792C2—2361no—
1793C2—2362no—
1794C2#2143758311yescharacteristic
1795C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1796C2#2143886811yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3345C2
socleC22×C59C23×D4
hypercenter#3345D59
hypocenterC59#61439
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3345

Complements

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

NH ≅ G/Ntype
1. #21437690C2semidirect
2. #21437583C2semidirect
3. #21437139C2semidirect
4. #21437014C2semidirect
5. #21436891C2semidirect
6. #21436828C2semidirect
7. #21436676C2semidirect
8. #21436562C2semidirect
9. #21436421C2semidirect
10. #21436325C2semidirect
11. #21436235C2semidirect
12. #21436231C2semidirect
13. #21436085C2semidirect
14. #21436081C2semidirect
15. #21435713C2semidirect
16. #21435596C2semidirect
17. #21435588C2semidirect
18. #21434693C2semidirect
19. #21434686C2semidirect
20. #21434670C2semidirect
21. #21434158C2semidirect
22. #21434151C2semidirect
23. #21434148C2semidirect
24. #21434140C2semidirect
25. #21434124C2semidirect
26. #21434093C2semidirect
27. #21433056C2semidirect
28. #21432907C2semidirect
29. #21432903C2semidirect
30. C2×#16837489C2semidirect
31. C59×#3345C2semidirect
37. #16838135C22semidirect
38. #16838129C22semidirect
39. #16838120C22semidirect
42. #16838100C22semidirect
45. #16838070C22semidirect
48. #16838061C22semidirect
49. #16838058C22semidirect
62. #16837947C22semidirect
63. #16837937C22semidirect
65. #16837933C22semidirect
70. #16837870C22semidirect
73. C4×#11745687C22semidirect
74. C2×#14273692C22semidirect
78. #16837809C22semidirect
79. #16837806C22semidirect
80. #16837791C22semidirect
81. #16837790C22semidirect
82. #16837777C22semidirect
83. #16837768C22semidirect
84. #16837765C22semidirect
85. #16837764C22semidirect
86. #16837760C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837739C22semidirect
90. #16837737C22semidirect
91. #16837728C22semidirect
92. #16837728C22semidirect
93. #16837726C22semidirect
94. #16837722C22semidirect
95. #16837720C22semidirect
96. #16837715C22semidirect
98. #16837701C22semidirect
100. #16837696C22semidirect
101. #16837694C22semidirect
102. #16837691C22semidirect
103. #16837686C22semidirect
104. #16837686C22semidirect
106. #16837681C22semidirect
107. #16837656C22semidirect
108. #16837656C22semidirect
109. #16837653C22semidirect
110. #16837649C22semidirect
111. #16837649C22semidirect
112. #16837648C22semidirect
113. #16837646C22semidirect
114. #16837638C22semidirect
115. #16837636C22semidirect
116. #16837636C22semidirect
118. #16837617C22semidirect
120. #16837616C22semidirect
121. #16837603C22semidirect
122. #16837601C22semidirect
123. #16837601C22semidirect
124. #16837601C22semidirect
125. #16837597C22semidirect
127. #16837596C22semidirect
128. #16837596C22semidirect
131. #16837549C22semidirect
132. #16837548C22semidirect
133. #16837548C22semidirect
134. #16837545C22semidirect
135. #16837543C22semidirect
136. #16837540C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
144. #16837513C22semidirect
147. #16837502C22semidirect
149. #16837501C22semidirect
150. #16837493C22semidirect
151. #16837493C22semidirect
156. #16837489C22semidirect
157. #16837489C22semidirect
158. #16837489C22semidirect
159. #16837489C22semidirect
160. #16837489C22semidirect
161. #16837489C22semidirect
162. D8×Dic59C22semidirect
164. #16837484C22semidirect
165. #16837484C22semidirect
167. #16837482C22semidirect
168. #16837482C22semidirect
169. #16837482C22semidirect
170. #16837478C22semidirect
171. #16837477C22semidirect
172. #16837474C22semidirect
173. #16837473C22semidirect
174. #16837470C22semidirect
175. #16837454C22semidirect
176. #16837452C22semidirect
177. #16837452C22semidirect
178. #16837441C22semidirect
181. #16837401C22semidirect
182. #16837400C22semidirect
183. C2×#14273650C22semidirect
185. #16837354C22semidirect
186. M16×Dic59C22semidirect
187. C2×C8×Dic59C22semidirect
188. C59×#553C22semidirect
190. C59×#501C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#481C22semidirect
194. C59×#480C22semidirect
195. C59×#478C22semidirect
196. C59×#476C22semidirect
197. C59×#469C22semidirect
198. C59×#466C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#428C22semidirect
202. C2×#106×C59C22semidirect
700. #11745660#41semidirect
776. C2×Dic59AGL(1,ℤ/8)semidirect
823. Dic118C2×#41semidirect
827. C8×C59C2×#41semidirect
895. #3345D59semidirect
942. #553C2×D59semidirect
979. #501C2×D59semidirect
995. #482C2×D59semidirect
998. #481C2×D59semidirect
999. #481C2×D59semidirect
1001. #480C2×D59semidirect
1005. #478C2×D59semidirect
1009. #476C2×D59semidirect
1017. #469C2×D59semidirect
1025. #466C2×D59semidirect
1055. #442C2×D59semidirect
1085. #435C2×D59semidirect
1090. #428C2×D59semidirect
1091. C2×#106C2×D59semidirect
1101. C59#61439semidirect
1730. C8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214376902
#214375832
#214371392
#214370142
#214368912
#214368282
#214366762
#214365622
#214364212
#214363252
#214362352
#214362312
#214360852
#214360812
#214357132
#214355962
#214355882
#214346932
#214346862
#214346702
#214341582
#214341512
#214341482
#214341402
#214341242
#214340932
#214330562
#214329072
#214329032
C2×#168374892
C59×#33452
#6143959