Finite Group Databasebeta

← #29470603

Subgroups — #29470603

Order 15104.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437703C211yesmaximal, characteristic, complemented
2#21437583C211yesmaximal, characteristic, complemented
3#21437139C211yesmaximal, characteristic, complemented
4#21436992C211yesmaximal, characteristic, complemented
5#21436891C211yesmaximal, characteristic, complemented
6#21436806C211yesmaximal, characteristic, complemented
7#21436567C211yesmaximal, characteristic, complemented
8#21436449C211yesmaximal, characteristic, complemented
9#21436240C211yesmaximal, characteristic, complemented
10#21436231C211yesmaximal, characteristic, complemented
11#21436060C211yesmaximal, characteristic, complemented
12#21436051C211yesmaximal, characteristic, complemented
13#21435918C211yesmaximal, characteristic, complemented
14#21435907C211yesmaximal, characteristic, complemented
15#21435770C211yesmaximal, characteristic, complemented
16#21435583C211yesmaximal, characteristic, complemented
17#21435581C211yesmaximal, characteristic, complemented
18#21434829C211yesmaximal, characteristic, complemented
19#21434796C211yesmaximal, characteristic, complemented
20#21434789C211yesmaximal, characteristic, complemented
21#21434242C211yesmaximal, characteristic, complemented
22#21434239C211yesmaximal, characteristic, complemented
23#21434231C211yesmaximal, characteristic, complemented
24#21434189C211yesmaximal, characteristic, complemented
25#21434184C211yesmaximal, characteristic, complemented
26#21434184C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432903C211yesmaximal, characteristic, complemented
29C2×#16837513C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273755C2211yescharacteristic
34C22×D472C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36#16838135C2211yescharacteristic, complemented
37#16838108C2211yescharacteristic, complemented
38#16838107C2211yescharacteristic, complemented
39#16838097—21no—
40#16838096C2211yescharacteristic, complemented
41#16838081—21no—
42#16838077—21no—
43#16838073C2211yescharacteristic, complemented
44#16838067C2211yescharacteristic, complemented
45#16838062—21no—
46#16838053C2211yescharacteristic
47#16838053C2211yescharacteristic, complemented
48#16838049C2211yescharacteristic, complemented
49#16838048C2211yescharacteristic, complemented
50#16838044—21no—
51#16838044—21no—
52#16838041—21no—
53#16838040—21no—
54D4×D236C2211yescharacteristic, complemented
55#16838036C2211yescharacteristic
56#16838036C2211yescharacteristic, complemented
57#16838036C2211yescharacteristic, complemented
58#16837953C2211yescharacteristic, complemented
59#16837947C2211yescharacteristic, complemented
60#16837947C2211yescharacteristic, complemented
61#16837947C2211yescharacteristic, complemented
62#16837937C2211yescharacteristic, complemented
63#16837935—21no—
64#16837933C2211yescharacteristic, complemented
65#16837915—21no—
66#16837912—21no—
67#16837910—21no—
68#16837910—21no—
69#16837910—21no—
70#16837870C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic
72C2×#14273689C2211yescharacteristic, complemented
73C2×#14273689C2211yescharacteristic, complemented
74C2×#14273689C2211yescharacteristic, complemented
75C4×D4×D59—21no—
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837810C2211yescharacteristic, complemented
79#16837799C2211yescharacteristic, 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#16837734C2211yescharacteristic, complemented
90#16837732C2211yescharacteristic, complemented
91#16837726C2211yescharacteristic, complemented
92#16837722C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837720C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837717C2211yescharacteristic, complemented
97#16837705C2211yescharacteristic, complemented
98#16837705C2211yescharacteristic, complemented
99#16837699C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837691C2211yescharacteristic, complemented
102#16837691C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837689C2211yescharacteristic, complemented
105#16837686C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837655C2211yescharacteristic, complemented
108#16837653C2211yescharacteristic, complemented
109#16837653C2211yescharacteristic, complemented
110#16837639C2211yescharacteristic, complemented
111#16837639C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837632C2211yescharacteristic, complemented
115#16837631C2211yescharacteristic, complemented
116#16837629C2211yescharacteristic, complemented
117#16837618C2211yescharacteristic, complemented
118#16837617C2211yescharacteristic, complemented
119#16837616C2211yescharacteristic, complemented
120#16837616C2211yescharacteristic, complemented
121#16837601C2211yescharacteristic, complemented
122#16837598C2211yescharacteristic, complemented
123#16837597C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic
125#16837596C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837596C2211yescharacteristic, complemented
129#16837555C2211yescharacteristic, complemented
130#16837554C2211yescharacteristic, complemented
131#16837549C2211yescharacteristic, complemented
132#16837545C2211yescharacteristic, complemented
133#16837538C2211yescharacteristic, complemented
134#16837538C2211yescharacteristic, complemented
135#16837537C2211yescharacteristic
136#16837537C2211yescharacteristic, complemented
137#16837537C2211yescharacteristic, complemented
138#16837535C2211yescharacteristic
139#16837535C2211yescharacteristic, complemented
140#16837535C2211yescharacteristic, complemented
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic
144#16837514C2211yescharacteristic, complemented
145#16837513C2211yescharacteristic
146#16837513C2211yescharacteristic
147#16837513C2211yescharacteristic, complemented
148#16837513C2211yescharacteristic, complemented
149#16837513C2211yescharacteristic, complemented
150#16837513C2211yescharacteristic, complemented
151#16837513C2211yescharacteristic, complemented
152#16837513C2211yescharacteristic, complemented
153#16837513C2211yescharacteristic, complemented
154#16837513C2211yescharacteristic, complemented
155#16837512C2211yescharacteristic, complemented
156#16837512C2211yescharacteristic, complemented
157#16837511C2211yescharacteristic, complemented
158#16837511C2211yescharacteristic, complemented
159#16837511C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837499C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837489C2211yescharacteristic, complemented
168#16837484C2211yescharacteristic
169#16837484C2211yescharacteristic, complemented
170#16837476C2211yescharacteristic, complemented
171#16837474C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837458C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837456C2211yescharacteristic, complemented
178#106×D59C2211yescharacteristic, complemented
179#16837406C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#553C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic, complemented
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
212#41×D59—48no—
213C2×Q8×D59—21no—
214C22×D236C2311yescharacteristic
215C22×D236C2311yescharacteristic
216C22×D236C2311yescharacteristic
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59—21no—
220C2×D4×D59—21no—
221C2×D4×D59C2311yescharacteristic
222C2×D4×D59C2311yescharacteristic
223C22×C4×D59—21no—
224C22×C4×D59—21no—
225C22×C4×D59—21no—
226C22×C4×D59—21no—
227C22×C4×D59—21no—
228#14273755—24no—
229C2×#11745660C2311yescharacteristic
230C2×#11745660C2311yescharacteristic
231C2×#11745660C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×D472—24no—
234C2×D472C2311yescharacteristic
235C2×D472C2311yescharacteristic
236C2×D472C2311yescharacteristic
237C2×D472C2311yescharacteristic
238C2×D472C2311yescharacteristic
239C2×D472C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745669C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244C2×#11745669C2311yescharacteristic
245D8×D59—24no—
246C2×#11745664C2311yescharacteristic
247C22×C59⋊C8C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250#14273726C2311yescharacteristic
251#14273726C2311yescharacteristic
252#14273726C2311yescharacteristic
253#14273724C2311yescharacteristic
254#14273723C2311yescharacteristic
255#14273723C2311yescharacteristic
256#14273723C2311yescharacteristic
257#14273722—21no—
258#14273721—21no—
259#14273720—21no—
260#14273718C2311yescharacteristic
261#14273717—21no—
262#14273716—21no—
263#14273715C2311yescharacteristic
264#14273714C2311yescharacteristic
265#14273713—21no—
266#14273713—21no—
267#14273713—21no—
268#14273713—21no—
269#14273712—21no—
270#14273712—21no—
271#14273712—21no—
272#14273712—21no—
273#14273710—21no—
274#14273710—21no—
275#14273710—21no—
276#14273709—21no—
277#14273709—21no—
278#14273709—21no—
279#14273708—21no—
280#14273707—21no—
281#14273707C2311yescharacteristic
282#14273706—21no—
283#14273706C2311yescharacteristic
284#14273705—21no—
285#14273705—21no—
286#14273705—21no—
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273705—21no—
291#14273703—21no—
292#14273702—21no—
293#14273702—21no—
294#14273702C2311yescharacteristic
295#14273702C2311yescharacteristic
296#14273702C2311yescharacteristic
297#14273701—21no—
298#14273701C2311yescharacteristic
299#14273701C2311yescharacteristic
300#14273701C2311yescharacteristic
301#14273700—21no—
302#14273700—21no—
303#14273700—21no—
304#14273700—21no—
305#14273700—21no—
306#14273700—21no—
307#14273700—21no—
308#14273699—21no—
309#14273699—21no—
310#14273699—21no—
311#14273698—21no—
312#14273697—21no—
313#14273697—21no—
314#14273697—21no—
315#14273697—21no—
316#14273697—21no—
317#14273695—21no—
318#14273695—21no—
319#14273695—21no—
320#14273695—21no—
321#14273695—21no—
322C4×Dic118C2311yescharacteristic
323#14273692D411yescharacteristic
324#14273692C2311yescharacteristic
325#14273692C2311yescharacteristic
326C4×D236—21no—
327C4×D236C2311yescharacteristic
328C4×D236C2311yescharacteristic
329D4×Dic59—21no—
330D4×Dic59D411yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333#14273689—21no—
334#14273689—21no—
335#14273689—21no—
336#14273689—21no—
337#14273689—21no—
338#14273689—21no—
339#14273689—21no—
340#14273689—21no—
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348#14273689C2311yescharacteristic
349#14273689C2311yescharacteristic
350#14273689C2311yescharacteristic
351#14273689C2311yescharacteristic
352#14273689C2311yescharacteristic
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
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)⋊C4D411yescharacteristic
367(C22⋊D59)⋊C4D411yescharacteristic
368#14273685—21no—
369#14273685D411yescharacteristic
370#14273684—21no—
371#14273683—21no—
372#14273683D411yescharacteristic
373#14273683D411yescharacteristic
374C4⋊C4×D59—21no—
375C4⋊C4×D59C2311yescharacteristic
376C4⋊C4×D59C2311yescharacteristic
377C2×(C2×D59)⋊C4—21no—
378C2×(C2×D59)⋊C4—21no—
379C2×(C2×D59)⋊C4—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C22⋊C4×D59—21no—
383C22⋊C4×D59—21no—
384C2×C4×Dic59C2311yescharacteristic
385C2×C4×Dic59C2311yescharacteristic
386C42×D59—21no—
387C42×D59C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273659C2311yescharacteristic
390#14273658C2311yescharacteristic
391#14273658C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395C4⋊(C59⋊C8)C2311yescharacteristic
396Dic59⋊C8C2311yescharacteristic
397Dic59⋊C8C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400#14273652C2311yescharacteristic
401#14273650C2311yescharacteristic
402#14273650C2311yescharacteristic
403#14273650C2311yescharacteristic
404#14273649C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273648C2311yescharacteristic
410#14273648C2311yescharacteristic
411#14273647C2311yescharacteristic
412#14273647C2311yescharacteristic
413#14273647C2311yescharacteristic
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
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
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—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—44no—
488C2×Q8×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59C2×D411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C2×D4×C59C2411yescharacteristic
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59—21no—
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
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⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
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—44no—
527#11745687—44no—
528#11745687—82no—
529D4×D59—22no—
530D4×D59—22no—
531D4×D59—41no—
532D4×D59—41no—
533D4×D59—44no—
534D4×D59—44no—
535D4×D59—44no—
536D4×D59—44no—
537#11745685—22no—
538#11745685—41no—
539#11745685—44no—
540#11745685—44no—
541#11745685—44no—
542C2×D236—22no—
543C2×D236—22no—
544C2×D236—22no—
545C2×D236—21no—
546C2×D236—21no—
547C2×D236—21no—
548C2×D236—21no—
549C2×D236—21no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—41no—
554C2×D236—41no—
555C2×D236—41no—
556C2×D236C2411yescharacteristic
557C2×D236C2411yescharacteristic
558C2×D236C2411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
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—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—44no—
579C2×C4×D59—44no—
580C2×C4×D59—44no—
581C2×C4×D59—82no—
582C2×C4×D59—82no—
583C2×C4×D59C2×D411yescharacteristic
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2411yescharacteristic
586C2×Dic118—21no—
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118C2×D411yescharacteristic
590C2×Dic118C2411yescharacteristic
591D8×C59—22no—
592M16×C59—22no—
593C2×C8×C59—22no—
594C2×C8×C59C2411yescharacteristic
595C2×C8×C59C2411yescharacteristic
596C2×C8×C59C2411yescharacteristic
597C2×C8×C59C2411yescharacteristic
598C4⋊C4×C59—21no—
599C4⋊C4×C59—21no—
600C4⋊C4×C59—21no—
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59C2×D411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C4⋊C4×C59C2411yescharacteristic
608C4⋊C4×C59C2411yescharacteristic
609C4⋊C4×C59C2411yescharacteristic
610C4⋊C4×C59C2411yescharacteristic
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59—21no—
615C22⋊C4×C59—21no—
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59C2×D411yescharacteristic
619C22⋊C4×C59C2×D411yescharacteristic
620C42×C59—21no—
621C42×C59C2411yescharacteristic
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59C2×D411yescharacteristic
628C22⋊Dic59C2×D411yescharacteristic
629#11745670—41no—
630#11745669—22no—
631#11745669—22no—
632#11745669—41no—
633#11745669—41no—
634#11745669—41no—
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)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59C2×D411yescharacteristic
663C4⋊Dic59C2411yescharacteristic
664C4⋊Dic59C2411yescharacteristic
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4C2×D411yescharacteristic
675Dic59⋊C4C2×D411yescharacteristic
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678C4×Dic59—21no—
679C4×Dic59—21no—
680C4×Dic59C2×D411yescharacteristic
681C4×Dic59C2×D411yescharacteristic
682C4×Dic59C2×D411yescharacteristic
683C4×Dic59C2×D411yescharacteristic
684C4×Dic59C2×D411yescharacteristic
685C4×Dic59C2×D411yescharacteristic
686C4×Dic59C2411yescharacteristic
687C4×Dic59C2411yescharacteristic
688C4×Dic59C2411yescharacteristic
689#11745664—41no—
690C2×C59⋊C8—41no—
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694C2×C59⋊C8C2411yescharacteristic
695D472—22no—
696D472—22no—
697D472—22no—
698D472—22no—
699D472—41no—
700D472#4114yescomplemented
701#11745660—22no—
702#11745660—22no—
703#11745660—41no—
704C8×D59—22no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C23×C59C22×D411yescharacteristic
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—42no—
716C22×D59—42no—
717C22×D59—42no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—81no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731Q8×C59—42no—
732D4×C59—22no—
733D4×C59—21no—
734D4×C59—21no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—42no—
738D4×C59—42no—
739D4×C59—42no—
740D4×C59—81no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—42no—
752C2×C4×C59—42no—
753C2×C4×C59—42no—
754C2×C4×C59—81no—
755C2×C4×C59—81no—
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C2511yescharacteristic
761C22⋊D59—22no—
762C22⋊D59—42no—
763C22⋊D59—42no—
764C22⋊D59—42no—
765C22⋊D59—42no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—81no—
771C22⋊D59—81no—
772C22⋊D59—81no—
773C22⋊D59—81no—
774C22⋊D59AGL(1,ℤ/8)14yescomplemented
775C2×Dic59—22no—
776C2×Dic59—22no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—41no—
781C2×Dic59—41no—
782C2×Dic59—42no—
783C2×Dic59—42no—
784C2×Dic59C22×D411yescharacteristic
785C2×Dic59C22×D411yescharacteristic
786C2×Dic59C22×D411yescharacteristic
787C2×Dic59C22×D411yescharacteristic
788C2×Dic59C22×D411yescharacteristic
789C2×Dic59C22×D411yescharacteristic
790C2×Dic59C22×D411yescharacteristic
791D236—21no—
792D236—21no—
793D236—21no—
794D236—21no—
795D236—21no—
796D236—21no—
797D236—21no—
798D236—21no—
799D236—42no—
800D236—42no—
801D236—42no—
802D236—42no—
803D236—42no—
804D236—42no—
805D236—42no—
806D236—81no—
807D236C2×#4112yes—
808D236C2×#4112yescomplemented
809C4×D59—22no—
810C4×D59—21no—
811C4×D59—21no—
812C4×D59—41no—
813C4×D59—42no—
814C4×D59—42no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—42no—
819C4×D59—42no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—81no—
827C4×D59—81no—
828C4×D59—81no—
829C4×D59—81no—
830Dic118—22no—
831Dic118—21no—
832Dic118—21no—
833Dic118—42no—
834Dic118—42no—
835Dic118—81no—
836C8×C59—21no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59C2×#4112yescomplemented
840C59⋊C8—21no—
841C59⋊C8—21no—
842C59⋊C8—21no—
843C59⋊C8—21no—
844#61451—591nomaximal, Sylow
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—21no—
849C22×C59—21no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59C2×AGL(1,ℤ/8)12yes—
857C22×C59C23×D411yescharacteristic
858C2×D59—21no—
859C2×D59—21no—
860C2×D59—22no—
861C2×D59—22no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—41no—
871C2×D59—41no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—84no—
876C2×D59—84no—
877C2×D59—84no—
878C2×D59—84no—
879C2×D59—84no—
880C2×D59C2×AGL(1,ℤ/8)12yes—
881C4×C59—21no—
882C4×C59—21no—
883C4×C59—21no—
884C4×C59—21no—
885C4×C59—41no—
886C4×C59—41no—
887C4×C59—41no—
888C4×C59—41no—
889C4×C59—41no—
890C4×C59—41no—
891C4×C59C22×#4111yescharacteristic
892C4×C59#58511yescharacteristic
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—21no—
897Dic59—21no—
898Dic59—21no—
899Dic59—41no—
900Dic59—41no—
901Dic59—41no—
902Dic59C2×AGL(1,ℤ/8)12yes—
903#3481—591no—
904D4×#41—591no—
905#3399—591no—
906#3384—591no—
907#3373—591no—
908#3366—591no—
909#3345—591no—
910#3345D5911yescharacteristic, complemented
911#3335—591no—
912#3318—591no—
913#3318—591no—
914#3306—591no—
915#3306—591no—
916#3295—591no—
917#3294—591no—
918D4×D8—591no—
919#3264—591no—
920#3264—591no—
921#3184—591no—
922#3180—591no—
923#3180—591no—
924#3115—591no—
925#3114—591no—
926#3114—591no—
927#3109—591no—
928#3109—591no—
929#3109—591no—
930#2970—591no—
931C4×AGL(1,ℤ/8)—591no—
932C2×#442—591no—
933C2×#442—591no—
934C2×C59—22no—
935C2×C59—41no—
936C2×C59—81no—
937C2×C59—81no—
938C2×C59D4×#4111yescharacteristic
939C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
940C2×C59#358511yescharacteristic
941D59—22no—
942D59—42no—
943D59—42no—
944D59—81no—
945D59—81no—
946D59—81no—
947C22×#41—1181no—
948C2×AGL(1,ℤ/8)—591no—
949C22×D8—591no—
950C22×D8—591no—
951#559—591no—
952#554—591no—
953#554—591no—
954#553—591no—
955#553—1181no—
956#553C2×D5911yescharacteristic, complemented
957#551—1181no—
958#551—1181no—
959#550—591no—
960D4×Q8—591no—
961#548—1181no—
962#547—591no—
963#547—591no—
964#547C2×D5911yescharacteristic, complemented
965#546—591no—
966#546—591no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970#546—1181no—
971D42—591no—
972D42—591no—
973D42—591no—
974D42—591no—
975#532—591no—
976#532—591no—
977#532—591no—
978#532—591no—
979#529—591no—
980#529—591no—
981#529—1181no—
982#525—1181no—
983#525—1181no—
984#525—1181no—
985#525—1181no—
986#525—1181no—
987C4×#41—591no—
988C4×#41—591no—
989C2×C4×D4—591no—
990C2×C4×D4—591no—
991C2×C4×D4—591no—
992C2×C4×D4—591no—
993C2×C4×D4—591no—
994C2×C4×D4—1181no—
995#501—591no—
996#501C2×D5911yescharacteristic, complemented
997#498—591no—
998#496—591no—
999#496—591no—
1000#493—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#489—591no—
1005#486—591no—
1006#486—591no—
1007#483—591no—
1008#483—591no—
1009#482—591no—
1010#482C2×D5911yescharacteristic, complemented
1011#481—591no—
1012#481—591no—
1013#481—591no—
1014#481—591no—
1015#481C2×D5911yescharacteristic, complemented
1016#481C2×D5911yescharacteristic, complemented
1017#480—591no—
1018#480C2×D5911yescharacteristic, complemented
1019#478—591no—
1020#478—591no—
1021#478—591no—
1022#478C2×D5911yescharacteristic, complemented
1023#476—591no—
1024#476—591no—
1025#476—591no—
1026#476—591no—
1027#476—591no—
1028#476C2×D5911yescharacteristic, complemented
1029#475—591no—
1030#474—591no—
1031#469—591no—
1032#469—591no—
1033#469—591no—
1034#469C2×D5911yescharacteristic, complemented
1035#466—591no—
1036#466—591no—
1037#466—591no—
1038#466C2×D5911yescharacteristic, complemented
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465—591no—
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463—591no—
1047#460—591no—
1048#459—591no—
1049#459—591no—
1050#459—591no—
1051#459—591no—
1052#459—591no—
1053#459—591no—
1054#459—591no—
1055#450—591no—
1056#450—591no—
1057#449—591no—
1058#449—591no—
1059#447—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#447—591no—
1066#447—591no—
1067#446—591no—
1068#446—591no—
1069#442—591no—
1070#442—591no—
1071#442—591no—
1072#442—591no—
1073#442—591no—
1074#442—591no—
1075#442—591no—
1076#442—591no—
1077#442—591no—
1078#442—591no—
1079#442—591no—
1080#442—591no—
1081#442—591no—
1082#442—591no—
1083#442—591no—
1084#442—591no—
1085#442—591no—
1086#442—591no—
1087#442—591no—
1088#442C2×D5911yescharacteristic, complemented
1089#440—591no—
1090#440—591no—
1091#440—591no—
1092#440—591no—
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×D8—591no—
1096C4×D8—591no—
1097#435—591no—
1098#435—591no—
1099#435—591no—
1100#435C2×D5911yescharacteristic, complemented
1101C8×D4—591no—
1102C8×D4—591no—
1103#432—591no—
1104#432—591no—
1105#432—591no—
1106#428C2×D5911yescharacteristic, complemented
1107C2×#106—591no—
1108C2×#106C2×D5911yescharacteristic, complemented
1109#418—591no—
1110#417—591no—
1111C2×#102—591no—
1112C2×#102—591no—
1113C2×#102—591no—
1114C2×#102—591no—
1115C4×M16—591no—
1116C2×#97—591no—
1117C2×#97—591no—
1118C59#6145111yescharacteristic, complemented, Sylow
1119C2×#41—21no—
1120C2×#41—591no—
1121C2×#41—591no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1181no—
1127C2×#41—1181no—
1128C2×#41—1181no—
1129C2×#41—2368no—
1130C22×Q8—1181no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4—1181no—
1139C22×D4—1181no—
1140C23×C4—1181no—
1141C23×C4—1181no—
1142C23×C4—1181no—
1143C23×C4—1181no—
1144C23×C4—1181no—
1145AGL(1,ℤ/8)—1184no—
1146C2×SD16—591no—
1147C2×SD16—591no—
1148C2×SD16—591no—
1149C2×SD16—591no—
1150C2×D8—591no—
1151C2×D8—591no—
1152C2×D8—591no—
1153C2×D8—591no—
1154C2×D8—591no—
1155C2×D8—591no—
1156C2×D8—591no—
1157C2×D8—591no—
1158C2×D8—591no—
1159C2×D8—591no—
1160C2×D8—591no—
1161C2×D8—1184no—
1162C2×D8—1184no—
1163C2×D8C22×D5911yescharacteristic
1164C2×M16—591no—
1165C2×M16C22×D5911yescharacteristic
1166C22×C8—591no—
1167C22×C8—591no—
1168C22×C8—591no—
1169C22×C8C22×D5911yescharacteristic
1170C4⋊Q8—591no—
1171C4⋊Q8—591no—
1172C4⋊Q8—591no—
1173C4⋊Q8C22×D5911yescharacteristic
1174#127—591no—
1175#127—591no—
1176#127—591no—
1177#127—591no—
1178#126—21no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—1181no—
1184#125C22×D5911yescharacteristic
1185#124—591no—
1186#124—591no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#123—21no—
1193#123—21no—
1194#123—21no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206C22⋊Q8—21no—
1207C22⋊Q8—591no—
1208C22⋊Q8—591no—
1209C22⋊Q8—1181no—
1210C22⋊Q8—1181no—
1211C22⋊Q8—1181no—
1212C22⋊Q8—1181no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219#121—21no—
1220#121—591no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—1181no—
1227#121—1181no—
1228#121—1181no—
1229#121—1181no—
1230#121—1181no—
1231#121—1181no—
1232#121—1181no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121C22×D5911yescharacteristic
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#120—1181no—
1245#120—1181no—
1246#120—1181no—
1247#120—1181no—
1248#120—1181no—
1249#120—1181no—
1250#120—1181no—
1251#120—1181no—
1252#120—1181no—
1253#120—1181no—
1254C4×Q8—591no—
1255C4×Q8—591no—
1256C4×Q8—591no—
1257C4×Q8—591no—
1258C4×D4—21no—
1259C4×D4—591no—
1260C4×D4—591no—
1261C4×D4—591no—
1262C4×D4—591no—
1263C4×D4—591no—
1264C4×D4—591no—
1265C4×D4—591no—
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—591no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4—1181no—
1295C4×D4—1181no—
1296C4×D4—1181no—
1297C4×D4—1181no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4C22×D5911yescharacteristic
1302C4×D4C22×D5911yescharacteristic
1303C4×D4C22×D5911yescharacteristic
1304#117—591no—
1305#117—591no—
1306#117—591no—
1307#117—1181no—
1308#117—1181no—
1309#117—1181no—
1310#117C22×D5911yescharacteristic
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—1181no—
1314C2×C4⋊C4C22×D5911yescharacteristic
1315C2×C4⋊C4C22×D5911yescharacteristic
1316C2×C4⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C22⋊C4—1181no—
1324C2×C42—591no—
1325C2×C42—591no—
1326C2×C42—591no—
1327C2×C42—1181no—
1328#107—591no—
1329#107C22×D5911yescharacteristic
1330#107C22×D5911yescharacteristic
1331#107C22×D5911yescharacteristic
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106C22×D5911yescharacteristic
1339#106C22×D5911yescharacteristic
1340#106C22×D5911yescharacteristic
1341#106C22×D5911yescharacteristic
1342#106C22×D5911yescharacteristic
1343#106C22×D5911yescharacteristic
1344C4⋊C8—591no—
1345C4⋊C8—591no—
1346C4⋊C8—591no—
1347C4⋊C8—591no—
1348C4⋊C8—591no—
1349C4⋊C8C22×D5911yescharacteristic
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102C22×D5911yescharacteristic
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380#102C22×D5911yescharacteristic
1381#102C22×D5911yescharacteristic
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97—591no—
1390#97—591no—
1391#97—591no—
1392#97—591no—
1393#97—591no—
1394#97—591no—
1395#97C22×D5911yescharacteristic
1396C4×C8—591no—
1397C4×C8—591no—
1398C24—1181no—
1399C24—1181no—
1400C24—1181no—
1401C24—1181no—
1402C24—1181no—
1403#41—44no—
1404#41—1182no—
1405#41—1184no—
1406#41—4722no—
1407#41—2361no—
1408#41—2364no—
1409#41—2364no—
1410#41—2364no—
1411#41—2364no—
1412#41—2364no—
1413#41—2364no—
1414C2×Q8—21no—
1415C2×Q8—591no—
1416C2×Q8—591no—
1417C2×Q8—1181no—
1418C2×Q8—1181no—
1419C2×Q8—1181no—
1420C2×Q8—2364no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—591no—
1426C2×D4—591no—
1427C2×D4—591no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—1182no—
1433C2×D4—1182no—
1434C2×D4—1182no—
1435C2×D4—1181no—
1436C2×D4—1181no—
1437C2×D4—1181no—
1438C2×D4—1181no—
1439C2×D4—1181no—
1440C2×D4—1181no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1181no—
1446C2×D4—1182no—
1447C2×D4—1182no—
1448C2×D4—1181no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—1181no—
1454C2×D4—1181no—
1455C2×D4—1181no—
1456C2×D4—1181no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2364no—
1463C2×D4—2364no—
1464C2×D4—2364no—
1465C2×D4—2364no—
1466C2×D4D4×D5911yescharacteristic
1467C2×D4C23×D5911yescharacteristic
1468C2×D4C23×D5911yescharacteristic
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—21no—
1473C22×C4—21no—
1474C22×C4—591no—
1475C22×C4—591no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—591no—
1480C22×C4—591no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—1181no—
1488C22×C4—1181no—
1489C22×C4—1181no—
1490C22×C4—1181no—
1491C22×C4—1181no—
1492C22×C4—1181no—
1493C22×C4—1181no—
1494C22×C4—1181no—
1495C22×C4—1181no—
1496C22×C4—1181no—
1497C22×C4—1181no—
1498C22×C4—1181no—
1499C22×C4—1181no—
1500C22×C4—4722no—
1501C22×C4—4722no—
1502C22×C4—2364no—
1503C22×C4—2364no—
1504C22×C4—2364no—
1505C22×C4C23×D5911yescharacteristic
1506C22×C4C23×D5911yescharacteristic
1507SD16—1182no—
1508SD16—1182no—
1509SD16—2361no—
1510SD16—2361no—
1511D8—22no—
1512D8—594no—
1513D8—1182no—
1514D8—1182no—
1515D8—1182no—
1516D8—1182no—
1517D8—1182no—
1518D8—1182no—
1519D8—2361no—
1520D8—2361no—
1521D8—2361no—
1522D8—2361no—
1523M16—22no—
1524M16—2361no—
1525C2×C8—22no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—591no—
1530C2×C8—1182no—
1531C2×C8—2361no—
1532C2×C8—2361no—
1533C2×C8C23×D5911yescharacteristic
1534C2×C8C23×D5911yescharacteristic
1535C2×C8C23×D5911yescharacteristic
1536C2×C8C23×D5911yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—21no—
1540C4⋊C4—21no—
1541C4⋊C4—21no—
1542C4⋊C4—21no—
1543C4⋊C4—591no—
1544C4⋊C4—591no—
1545C4⋊C4—591no—
1546C4⋊C4—591no—
1547C4⋊C4—591no—
1548C4⋊C4—591no—
1549C4⋊C4—591no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4D4×D5911yescharacteristic
1562C4⋊C4C23×D5911yescharacteristic
1563C4⋊C4C23×D5911yescharacteristic
1564C4⋊C4C23×D5911yescharacteristic
1565C4⋊C4C23×D5911yescharacteristic
1566C4⋊C4C23×D5911yescharacteristic
1567C4⋊C4C23×D5911yescharacteristic
1568C22⋊C4—21no—
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4D4×D5911yescharacteristic
1608C22⋊C4D4×D5911yescharacteristic
1609C42—21no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—591no—
1616C42—591no—
1617C42—591no—
1618C42—591no—
1619C42—1181no—
1620C42—1181no—
1621C42C23×D5911yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—591no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—4721no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—2362no—
1636C23—2362no—
1637C23—2362no—
1638C23—2362no—
1639C23—2362no—
1640C23—2362no—
1641C23—2362no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646C23C2×D4×D5911yescharacteristic
1647Q8—42no—
1648Q8—1182no—
1649Q8—1181no—
1650Q8—1181no—
1651Q8—4721no—
1652Q8—2362no—
1653Q8—2362no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—42no—
1660D4—42no—
1661D4—42no—
1662D4—81no—
1663D4—594no—
1664D4—592no—
1665D4—592no—
1666D4—1182no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—1181no—
1671D4—1181no—
1672D4—1181no—
1673D4—1181no—
1674D4—1181no—
1675D4—4721no—
1676D4—4721no—
1677D4—4721no—
1678D4—4721no—
1679D4—4721no—
1680D4—2362no—
1681D4—2362no—
1682D4—2362no—
1683D4—2362no—
1684D4—2362no—
1685D4—2362no—
1686D4—2362no—
1687D4—2362no—
1688D4—2362no—
1689D4—2362no—
1690D4—2362no—
1691D4—2362no—
1692D4—2362no—
1693D4—2362no—
1694D4—2362no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—81no—
1709C2×C4—81no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—591no—
1717C2×C4—1182no—
1718C2×C4—1182no—
1719C2×C4—1182no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—4721no—
1726C2×C4—4721no—
1727C2×C4—4721no—
1728C2×C4—4721no—
1729C2×C4—2361no—
1730C2×C4—2362no—
1731C2×C4—2362no—
1732C2×C4—2362no—
1733C2×C4—2362no—
1734C2×C4—2362no—
1735C2×C4—2362no—
1736C2×C4—2362no—
1737C2×C4—2362no—
1738C2×C4—2362no—
1739C2×C4—2362no—
1740C2×C4—2362no—
1741C2×C4—2362no—
1742C2×C4—2362no—
1743C2×C4—2361no—
1744C2×C4—2361no—
1745C2×C4—2362no—
1746C2×C4—2362no—
1747C2×C4C2×D4×D5911yescharacteristic
1748C2×C4C2×D4×D5911yescharacteristic
1749C2×C4C2×D4×D5911yescharacteristic
1750C2×C4C2×D4×D5911yescharacteristic
1751C2×C4C24×D5911yescharacteristic
1752C8—21no—
1753C8—21no—
1754C8—21no—
1755C8—1181no—
1756C8—1181no—
1757C8—1181no—
1758C8—1181no—
1759C8#41×D5912yescomplemented
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—21no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—592no—
1772C22—1181no—
1773C22—1181no—
1774C22—1182no—
1775C22—1182no—
1776C22—4724no—
1777C22—4724no—
1778C22—4724no—
1779C22—4724no—
1780C22—4724no—
1781C22—2361no—
1782C22—2361no—
1783C22—2361no—
1784C22—2361no—
1785C22—2361no—
1786C22—2361no—
1787C22—2361no—
1788C22—2361no—
1789C22—2361no—
1790C22—2361no—
1791C22—2361no—
1792C22—2361no—
1793C22—2361no—
1794C22AGL(1,ℤ/8)×D5912yes—
1795C22C22×D4×D5911yescharacteristic
1796C4—21no—
1797C4—21no—
1798C4—21no—
1799C4—21no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—592no—
1807C4—1181no—
1808C4—1181no—
1809C4—1181no—
1810C4—1181no—
1811C4—1181no—
1812C4—1181no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4C2×#41×D5911yescharacteristic
1817C4#1683823911yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—81no—
1821C2—81no—
1822C2—1182no—
1823C2—4721no—
1824C2—4721no—
1825C2—4721no—
1826C2—2362no—
1827C2—2362no—
1828C2#2143758311yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1830C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3345C2
socleC22×C59C23×D4
hypercenter#3345D59
hypocenterC59#61451
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. #21437703C2semidirect
2. #21437583C2semidirect
3. #21437139C2semidirect
4. #21436992C2semidirect
5. #21436891C2semidirect
6. #21436806C2semidirect
7. #21436567C2semidirect
8. #21436449C2semidirect
9. #21436240C2semidirect
10. #21436231C2semidirect
11. #21436060C2semidirect
12. #21436051C2semidirect
13. #21435918C2semidirect
14. #21435907C2semidirect
15. #21435770C2semidirect
16. #21435583C2semidirect
17. #21435581C2semidirect
18. #21434829C2semidirect
19. #21434796C2semidirect
20. #21434789C2semidirect
21. #21434242C2semidirect
22. #21434239C2semidirect
23. #21434231C2semidirect
24. #21434189C2semidirect
25. #21434184C2semidirect
26. #21434184C2semidirect
27. #21433106C2semidirect
28. #21432903C2semidirect
29. C2×#16837513C2semidirect
30. #442×D59C2semidirect
31. C59×#3345C2semidirect
36. #16838135C22semidirect
37. #16838108C22semidirect
38. #16838107C22semidirect
40. #16838096C22semidirect
43. #16838073C22semidirect
44. #16838067C22semidirect
47. #16838053C22semidirect
48. #16838049C22semidirect
49. #16838048C22semidirect
54. D4×D236C22semidirect
56. #16838036C22semidirect
57. #16838036C22semidirect
58. #16837953C22semidirect
59. #16837947C22semidirect
60. #16837947C22semidirect
61. #16837947C22semidirect
62. #16837937C22semidirect
64. #16837933C22semidirect
70. #16837870C22semidirect
72. C2×#14273689C22semidirect
73. C2×#14273689C22semidirect
74. C2×#14273689C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837810C22semidirect
79. #16837799C22semidirect
80. #16837791C22semidirect
81. #16837790C22semidirect
82. #16837777C22semidirect
83. #16837768C22semidirect
84. #16837765C22semidirect
85. #16837764C22semidirect
86. #16837760C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837734C22semidirect
90. #16837732C22semidirect
91. #16837726C22semidirect
92. #16837722C22semidirect
93. #16837722C22semidirect
94. #16837720C22semidirect
95. #16837720C22semidirect
96. #16837717C22semidirect
97. #16837705C22semidirect
98. #16837705C22semidirect
99. #16837699C22semidirect
100. #16837691C22semidirect
101. #16837691C22semidirect
102. #16837691C22semidirect
103. #16837691C22semidirect
104. #16837689C22semidirect
105. #16837686C22semidirect
106. #16837681C22semidirect
107. #16837655C22semidirect
108. #16837653C22semidirect
109. #16837653C22semidirect
110. #16837639C22semidirect
111. #16837639C22semidirect
112. #16837636C22semidirect
113. #16837632C22semidirect
114. #16837632C22semidirect
115. #16837631C22semidirect
116. #16837629C22semidirect
117. #16837618C22semidirect
118. #16837617C22semidirect
119. #16837616C22semidirect
120. #16837616C22semidirect
121. #16837601C22semidirect
122. #16837598C22semidirect
123. #16837597C22semidirect
125. #16837596C22semidirect
126. #16837596C22semidirect
127. #16837596C22semidirect
128. #16837596C22semidirect
129. #16837555C22semidirect
130. #16837554C22semidirect
131. #16837549C22semidirect
132. #16837545C22semidirect
133. #16837538C22semidirect
134. #16837538C22semidirect
136. #16837537C22semidirect
137. #16837537C22semidirect
139. #16837535C22semidirect
140. #16837535C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
144. #16837514C22semidirect
147. #16837513C22semidirect
148. #16837513C22semidirect
149. #16837513C22semidirect
150. #16837513C22semidirect
151. #16837513C22semidirect
152. #16837513C22semidirect
153. #16837513C22semidirect
154. #16837513C22semidirect
155. #16837512C22semidirect
156. #16837512C22semidirect
157. #16837511C22semidirect
158. #16837511C22semidirect
159. #16837511C22semidirect
160. #16837511C22semidirect
161. #16837511C22semidirect
162. #16837501C22semidirect
163. #16837501C22semidirect
164. #16837501C22semidirect
165. #16837499C22semidirect
166. #16837489C22semidirect
167. #16837489C22semidirect
169. #16837484C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837471C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #106×D59C22semidirect
179. #16837406C22semidirect
180. #16837401C22semidirect
181. C2×#14273647C22semidirect
182. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
188. C59×#553C22semidirect
189. C59×#547C22semidirect
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. D472#41semidirect
774. C22⋊D59AGL(1,ℤ/8)semidirect
808. D236C2×#41semidirect
839. C8×C59C2×#41semidirect
910. #3345D59semidirect
956. #553C2×D59semidirect
964. #547C2×D59semidirect
996. #501C2×D59semidirect
1010. #482C2×D59semidirect
1015. #481C2×D59semidirect
1016. #481C2×D59semidirect
1018. #480C2×D59semidirect
1022. #478C2×D59semidirect
1028. #476C2×D59semidirect
1034. #469C2×D59semidirect
1038. #466C2×D59semidirect
1088. #442C2×D59semidirect
1100. #435C2×D59semidirect
1106. #428C2×D59semidirect
1108. C2×#106C2×D59semidirect
1118. C59#61451semidirect
1759. C8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214377032
#214375832
#214371392
#214369922
#214368912
#214368062
#214365672
#214364492
#214362402
#214362312
#214360602
#214360512
#214359182
#214359072
#214357702
#214355832
#214355812
#214348292
#214347962
#214347892
#214342422
#214342392
#214342312
#214341892
#214341842
#214331062
#214329032
C2×#168375132
#442×D592
C59×#33452
#6145159