Finite Group Databasebeta

← D59×#3345 #29467244

Subgroups — D59×#3345 #29467244

Order 15104.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#553×D59C211yesmaximal, characteristic, complemented
2#547×D59C211yesmaximal, characteristic, complemented
3#21436573C211yesmaximal, characteristic, complemented
4#21436572C211yesmaximal, characteristic, complemented
5#21436571C211yesmaximal, characteristic, complemented
6#21436570C211yesmaximal, characteristic, complemented
7#21436569C211yesmaximal, characteristic, complemented
8#21436568C211yesmaximal, characteristic, complemented
9#21436567C211yesmaximal, characteristic, complemented
10#21436566C211yesmaximal, characteristic, complemented
11#21436565C211yesmaximal, characteristic, complemented
12#21436564C211yesmaximal, characteristic, complemented
13#21436563C211yesmaximal, characteristic, complemented
14#21436562C211yesmaximal, characteristic, complemented
15#21436561C211yesmaximal, characteristic, complemented
16#21436560C211yesmaximal, characteristic, complemented
17#21436559C211yesmaximal, characteristic, complemented
18#501×D59C211yesmaximal, characteristic, complemented
19#481×D59C211yesmaximal, characteristic, complemented
20#481×D59C211yesmaximal, characteristic, complemented
21#482×D59C211yesmaximal, characteristic, complemented
22#480×D59C211yesmaximal, characteristic, complemented
23#478×D59C211yesmaximal, characteristic, complemented
24#476×D59C211yesmaximal, characteristic, complemented
25#469×D59C211yesmaximal, characteristic, complemented
26#466×D59C211yesmaximal, characteristic, complemented
27#442×D59C211yesmaximal, characteristic, complemented
28#435×D59C211yesmaximal, characteristic, complemented
29#428×D59C211yesmaximal, characteristic, complemented
30C2×#106×D59C211yesmaximal, characteristic, complemented
31C59×#3345C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×D8×D59C2211yescharacteristic
34C2×M16×D59C2211yescharacteristic
35C22×C8×D59C2211yescharacteristic
36#16838105C2211yescharacteristic, complemented
37#16838104C2211yescharacteristic, complemented
38#16838103—21no—
39#16838102C2211yescharacteristic, complemented
40#16838101—21no—
41#16838100C2211yescharacteristic, complemented
42#16838099C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic, complemented
44#16838097—21no—
45#16838096C2211yescharacteristic, complemented
46#16838095—21no—
47#16838057C2211yescharacteristic, complemented
48#16838056C2211yescharacteristic, complemented
49#16838055C2211yescharacteristic, complemented
50#16838054—21no—
51#16838053C2211yescharacteristic, complemented
52#16838053C2211yescharacteristic, complemented
53#16838052C2211yescharacteristic, complemented
54#16838052C2211yescharacteristic, complemented
55#16838051—21no—
56#16838050—21no—
57#16838050—21no—
58C4⋊Q8×D59C2211yescharacteristic
59#126×D59—21no—
60#125×D59C2211yescharacteristic
61#123×D59—21no—
62#123×D59—21no—
63#123×D59—21no—
64C22⋊Q8×D59—21no—
65#121×D59—21no—
66#121×D59C2211yescharacteristic
67#121×D59C2211yescharacteristic
68#121×D59C2211yescharacteristic
69#121×D59C2211yescharacteristic
70C4×D4×D59—21no—
71C4×D4×D59C2211yescharacteristic
72C4×D4×D59C2211yescharacteristic
73C4×D4×D59C2211yescharacteristic
74#117×D59C2211yescharacteristic
75C2×C4⋊C4×D59C2211yescharacteristic
76C2×C4⋊C4×D59C2211yescharacteristic
77C2×C4⋊C4×D59C2211yescharacteristic
78#16837812C2211yescharacteristic, complemented
79#16837811C2211yescharacteristic, complemented
80#16837810C2211yescharacteristic, complemented
81#16837810C2211yescharacteristic, complemented
82#16837809C2211yescharacteristic, complemented
83#16837809C2211yescharacteristic, complemented
84#16837808C2211yescharacteristic, complemented
85#16837729C2211yescharacteristic, complemented
86#16837728C2211yescharacteristic, complemented
87#16837727C2211yescharacteristic, complemented
88#16837726C2211yescharacteristic, complemented
89#16837725C2211yescharacteristic, complemented
90#16837724C2211yescharacteristic, complemented
91#16837723C2211yescharacteristic, complemented
92#16837722C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837721C2211yescharacteristic, complemented
97#16837721C2211yescharacteristic, complemented
98#16837720C2211yescharacteristic, complemented
99#16837720C2211yescharacteristic, complemented
100#16837719C2211yescharacteristic, complemented
101#16837719C2211yescharacteristic, complemented
102#16837719C2211yescharacteristic, complemented
103#16837719C2211yescharacteristic, complemented
104#16837718C2211yescharacteristic, complemented
105#16837718C2211yescharacteristic, complemented
106#16837717C2211yescharacteristic, complemented
107#16837717C2211yescharacteristic, complemented
108#16837716C2211yescharacteristic, complemented
109#16837715C2211yescharacteristic, complemented
110#16837714C2211yescharacteristic, complemented
111#16837714C2211yescharacteristic, complemented
112#16837713C2211yescharacteristic, complemented
113#16837705C2211yescharacteristic, complemented
114#16837704C2211yescharacteristic, complemented
115#16837703C2211yescharacteristic, complemented
116#16837702C2211yescharacteristic, complemented
117#16837701C2211yescharacteristic, complemented
118#16837700C2211yescharacteristic, complemented
119#16837699C2211yescharacteristic, complemented
120#16837693C2211yescharacteristic, complemented
121#16837692C2211yescharacteristic, complemented
122#16837691C2211yescharacteristic, complemented
123#16837691C2211yescharacteristic, complemented
124#16837690C2211yescharacteristic, complemented
125#16837690C2211yescharacteristic, complemented
126#16837689C2211yescharacteristic, complemented
127#16837656C2211yescharacteristic, complemented
128#16837655C2211yescharacteristic, complemented
129#16837654C2211yescharacteristic, complemented
130#16837654C2211yescharacteristic, complemented
131#16837653C2211yescharacteristic, complemented
132#16837653C2211yescharacteristic, complemented
133#16837652C2211yescharacteristic, complemented
134#16837639C2211yescharacteristic, complemented
135#16837638C2211yescharacteristic, complemented
136#16837637C2211yescharacteristic, complemented
137#16837637C2211yescharacteristic, complemented
138#16837636C2211yescharacteristic, complemented
139#16837636C2211yescharacteristic, complemented
140#16837635C2211yescharacteristic, complemented
141#16837515C2211yescharacteristic, complemented
142#16837514C2211yescharacteristic, complemented
143#16837513C2211yescharacteristic, complemented
144#16837512C2211yescharacteristic, complemented
145#16837512C2211yescharacteristic, complemented
146#16837511C2211yescharacteristic, complemented
147#16837511C2211yescharacteristic, complemented
148#16837476C2211yescharacteristic, complemented
149#16837475C2211yescharacteristic, complemented
150#16837474C2211yescharacteristic, complemented
151#16837473C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837471C2211yescharacteristic, complemented
154#16837470C2211yescharacteristic, complemented
155#16837445C2211yescharacteristic, complemented
156#16837444C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#16837442C2211yescharacteristic, complemented
160#16837441C2211yescharacteristic, complemented
161#16837441C2211yescharacteristic, complemented
162#107×D59C2211yescharacteristic
163#107×D59C2211yescharacteristic
164#107×D59C2211yescharacteristic
165C2×#14273659C2211yescharacteristic, complemented
166C2×#14273658C2211yescharacteristic, complemented
167C2×#14273658C2211yescharacteristic, complemented
168#106×D59C2211yescharacteristic
169#106×D59C2211yescharacteristic
170#106×D59C2211yescharacteristic
171#106×D59C2211yescharacteristic
172#106×D59C2211yescharacteristic
173#106×D59C2211yescharacteristic
174#106×D59C2211yescharacteristic, complemented
175#106×D59C2211yescharacteristic, complemented
176#106×D59C2211yescharacteristic, complemented
177#106×D59C2211yescharacteristic, complemented
178C4⋊C8×D59C2211yescharacteristic
179#102×D59C2211yescharacteristic
180#102×D59C2211yescharacteristic
181#102×D59C2211yescharacteristic
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic
185C22⋊C8×D59C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic
187#97×D59C2211yescharacteristic
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×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210#41×D59—48no—
211C2×Q8×D59—21no—
212C2×D4×D59—21no—
213C2×D4×D59—21no—
214C2×D4×D59—21no—
215C2×D4×D59—21no—
216C2×D4×D59D411yescharacteristic
217C2×D4×D59C2311yescharacteristic
218C2×D4×D59C2311yescharacteristic
219C22×C4×D59—21no—
220C22×C4×D59—21no—
221C22×C4×D59—21no—
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C2×D472C2311yescharacteristic
227C2×#11745669C2311yescharacteristic
228C2×#11745669C2311yescharacteristic
229D8×D59—24no—
230C2×#11745664C2311yescharacteristic
231C2×#11745659C2311yescharacteristic
232C2×#11745659C2311yescharacteristic
233M16×D59—24no—
234C22×C59⋊C8C2311yescharacteristic
235C2×C8×D59—24no—
236C2×C8×D59C2311yescharacteristic
237C2×C8×D59C2311yescharacteristic
238C2×C8×D59C2311yescharacteristic
239C2×C8×D59C2311yescharacteristic
240C2×C8×D59C2311yescharacteristic
241C2×C8×D59C2311yescharacteristic
242#14273727C2311yescharacteristic
243#14273726—21no—
244#14273726C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273725—21no—
247#14273722—21no—
248#14273722—21no—
249#14273722—21no—
250#14273721—21no—
251#14273720—21no—
252#14273720—21no—
253#14273720—21no—
254#14273719C2311yescharacteristic
255#14273718C2311yescharacteristic
256#14273718C2311yescharacteristic
257#14273717—21no—
258#14273717—21no—
259#14273712—21no—
260#14273712—21no—
261#14273712—21no—
262#14273712—21no—
263#14273712—21no—
264#14273712—21no—
265#14273711—21no—
266#14273711—21no—
267#14273711—21no—
268#14273710—21no—
269#14273710—21no—
270#14273710—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273709—21no—
277#14273708—21no—
278#14273708—21no—
279#14273708—21no—
280#14273707—21no—
281#14273706—21no—
282#14273705—21no—
283#14273705—21no—
284#14273704—21no—
285#14273704—21no—
286#14273703—21no—
287#14273702—21no—
288#14273702C2311yescharacteristic
289#14273702C2311yescharacteristic
290#14273702C2311yescharacteristic
291#14273702C2311yescharacteristic
292#14273701—21no—
293#14273701C2311yescharacteristic
294#14273701C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273701C2311yescharacteristic
297#14273700—21no—
298#14273700—21no—
299#14273700—21no—
300#14273700—21no—
301#14273700—21no—
302#14273700—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273699—21no—
308#14273699—21no—
309#14273698—21no—
310#14273698C2311yescharacteristic
311#14273698C2311yescharacteristic
312#14273698C2311yescharacteristic
313#14273698C2311yescharacteristic
314C4×D236—21no—
315C4×D236C2311yescharacteristic
316C4×D236C2311yescharacteristic
317C4×D236C2311yescharacteristic
318D4×Dic59—21no—
319D4×Dic59D411yescharacteristic
320D4×Dic59C2311yescharacteristic
321D4×Dic59C2311yescharacteristic
322#14273689—21no—
323#14273689D411yescharacteristic
324#14273689C2311yescharacteristic
325#14273689C2311yescharacteristic
326C4×C22⋊D59—21no—
327C4×C22⋊D59—21no—
328C4×C22⋊D59—21no—
329C4×C22⋊D59—21no—
330C4×C22⋊D59C2311yescharacteristic
331C4×C22⋊D59C2311yescharacteristic
332(C22⋊D59)⋊C4—21no—
333(C22⋊D59)⋊C4—21no—
334(C22⋊D59)⋊C4—21no—
335(C22⋊D59)⋊C4—21no—
336(C22⋊D59)⋊C4D411yescharacteristic
337(C22⋊D59)⋊C4D411yescharacteristic
338#14273686C2311yescharacteristic
339#14273685C2311yescharacteristic
340#14273685C2311yescharacteristic
341#14273684—21no—
342#14273683—21no—
343C2×C4⋊Dic59C2311yescharacteristic
344C2×C4⋊Dic59C2311yescharacteristic
345C2×C4⋊Dic59C2311yescharacteristic
346C2×Dic59⋊C4—21no—
347C2×Dic59⋊C4—21no—
348C2×Dic59⋊C4—21no—
349C4⋊C4×D59—21no—
350C4⋊C4×D59—21no—
351C4⋊C4×D59—21no—
352C4⋊C4×D59—21no—
353C4⋊C4×D59—21no—
354C4⋊C4×D59—21no—
355C4⋊C4×D59—21no—
356C4⋊C4×D59—21no—
357C4⋊C4×D59—21no—
358C4⋊C4×D59D411yescharacteristic
359C4⋊C4×D59C2311yescharacteristic
360C4⋊C4×D59C2311yescharacteristic
361C4⋊C4×D59C2311yescharacteristic
362C4⋊C4×D59C2311yescharacteristic
363C4⋊C4×D59C2311yescharacteristic
364C4⋊C4×D59C2311yescharacteristic
365C4⋊C4×D59C2311yescharacteristic
366C4⋊C4×D59C2311yescharacteristic
367C4⋊C4×D59C2311yescharacteristic
368C4⋊C4×D59C2311yescharacteristic
369C4⋊C4×D59C2311yescharacteristic
370C4⋊C4×D59C2311yescharacteristic
371C22⋊C4×D59—21no—
372C22⋊C4×D59—21no—
373C22⋊C4×D59—21no—
374C22⋊C4×D59—21no—
375C22⋊C4×D59—21no—
376C22⋊C4×D59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59D411yescharacteristic
379C22⋊C4×D59D411yescharacteristic
380C42×D59—21no—
381C42×D59C2311yescharacteristic
382#14273661C2311yescharacteristic
383#14273661C2311yescharacteristic
384#14273661C2311yescharacteristic
385#14273660C2311yescharacteristic
386#14273660C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273659C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403#14273658C2311yescharacteristic
404#14273658C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431C22⋊(C59⋊C8)C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436#14273638C2311yescharacteristic
437#14273637C2311yescharacteristic
438#14273637C2311yescharacteristic
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×D59C2×D411yescharacteristic
485C23×D59C2×D411yescharacteristic
486#41×C59—44no—
487C2×Q8×C59—21no—
488C2×D4×C59—21no—
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59C2×D411yescharacteristic
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—21no—
498C22×C4×C59—21no—
499C22×C4×C59—21no—
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
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⋊D59C2×D411yescharacteristic
513C2×C22⋊D59C2×D411yescharacteristic
514C22×Dic59—21no—
515C22×Dic59—21no—
516C22×Dic59—21no—
517C22×Dic59—21no—
518C22×Dic59—21no—
519C22×Dic59C2×D411yescharacteristic
520C22×Dic59C2×D411yescharacteristic
521#11745689—44no—
522Q8×D59—44no—
523#11745687—44no—
524#11745687—44no—
525#11745687—44no—
526D4×D59—24no—
527D4×D59—22no—
528D4×D59—22no—
529D4×D59—22no—
530D4×D59—22no—
531D4×D59—44no—
532D4×D59—44no—
533D4×D59—44no—
534D4×D59—82no—
535#11745685—44no—
536#11745685—44no—
537#11745685—44no—
538C2×D236—21no—
539C2×D236—21no—
540C2×D236—21no—
541C2×D236—21no—
542C2×D236C2×D411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×C4×D59—22no—
546C2×C4×D59—22no—
547C2×C4×D59—22no—
548C2×C4×D59—22no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
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—44no—
566C2×C4×D59—44no—
567C2×C4×D59—44no—
568C2×C4×D59—82no—
569C2×C4×D59—82no—
570C2×C4×D59C2×D411yescharacteristic
571C2×C4×D59C2×D411yescharacteristic
572C2×C4×D59C2×D411yescharacteristic
573C2×C4×D59C2×D411yescharacteristic
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2×D411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×C4×D59C2411yescharacteristic
578C2×C4×D59C2411yescharacteristic
579C2×Dic118—21no—
580C2×Dic118—21no—
581C2×Dic118—21no—
582D8×C59—22no—
583M16×C59—22no—
584C2×C8×C59—22no—
585C2×C8×C59C2411yescharacteristic
586C2×C8×C59C2411yescharacteristic
587C2×C8×C59C2411yescharacteristic
588C2×C8×C59C2411yescharacteristic
589C4⋊C4×C59—21no—
590C4⋊C4×C59—21no—
591C4⋊C4×C59—21no—
592C4⋊C4×C59—21no—
593C4⋊C4×C59—21no—
594C4⋊C4×C59—21no—
595C4⋊C4×C59C2×D411yescharacteristic
596C4⋊C4×C59C2411yescharacteristic
597C4⋊C4×C59C2411yescharacteristic
598C4⋊C4×C59C2411yescharacteristic
599C4⋊C4×C59C2411yescharacteristic
600C4⋊C4×C59C2411yescharacteristic
601C4⋊C4×C59C2411yescharacteristic
602C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
610C22⋊C4×C59C2×D411yescharacteristic
611C42×C59—21no—
612C42×C59C2411yescharacteristic
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59C2×D411yescharacteristic
621C22⋊Dic59C2×D411yescharacteristic
622#11745669—22no—
623#11745669—22no—
624(C2×D59)⋊C4—21no—
625(C2×D59)⋊C4—21no—
626(C2×D59)⋊C4—21no—
627(C2×D59)⋊C4—21no—
628(C2×D59)⋊C4—21no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4C2×D411yescharacteristic
639(C2×D59)⋊C4C2×D411yescharacteristic
640(C2×D59)⋊C4C2×D411yescharacteristic
641(C2×D59)⋊C4C2×D411yescharacteristic
642C4⋊Dic59—21no—
643C4⋊Dic59—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59C2×D411yescharacteristic
649C4⋊Dic59C2411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4C2×D411yescharacteristic
674Dic59⋊C4C2×D411yescharacteristic
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678C4×Dic59C2×D411yescharacteristic
679C4×Dic59C2×D411yescharacteristic
680C4×Dic59C2411yescharacteristic
681#11745664—22no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687D472—22no—
688#11745659—22no—
689#11745659—22no—
690C8×D59—22no—
691C8×D59—22no—
692C8×D59—22no—
693C8×D59—22no—
694C8×D59—22no—
695C8×D59#4114yescomplemented
696C23×C59—21no—
697C23×C59—21no—
698C23×C59C22×D411yescharacteristic
699C23×C59C22×D411yescharacteristic
700C22×D59—22no—
701C22×D59—22no—
702C22×D59—22no—
703C22×D59—22no—
704C22×D59—22no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—42no—
708C22×D59—42no—
709C22×D59—42no—
710C22×D59—42no—
711C22×D59—42no—
712C22×D59—42no—
713C22×D59AGL(1,ℤ/8)14yes—
714C22×D59C22×D411yescharacteristic
715C22×D59C22×D411yescharacteristic
716C22×D59C22×D411yescharacteristic
717Q8×C59—42no—
718D4×C59—22no—
719D4×C59—21no—
720D4×C59—21no—
721D4×C59—21no—
722D4×C59—21no—
723D4×C59—42no—
724D4×C59—42no—
725D4×C59—42no—
726D4×C59—81no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
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—42no—
738C2×C4×C59—42no—
739C2×C4×C59—42no—
740C2×C4×C59—81no—
741C2×C4×C59—81no—
742C2×C4×C59C22×D411yescharacteristic
743C2×C4×C59C22×D411yescharacteristic
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C2511yescharacteristic
747C22⋊D59—22no—
748C22⋊D59—22no—
749C22⋊D59—42no—
750C22⋊D59—42no—
751C22⋊D59—42no—
752C22⋊D59—42no—
753C22⋊D59—42no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—81no—
758C22⋊D59—81no—
759C2×Dic59—22no—
760C2×Dic59—22no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—42no—
768C2×Dic59—42no—
769C2×Dic59—42no—
770C2×Dic59—81no—
771C2×Dic59—81no—
772C2×Dic59C22×D411yescharacteristic
773C2×Dic59C22×D411yescharacteristic
774C2×Dic59C22×D411yescharacteristic
775C2×Dic59C22×D411yescharacteristic
776C2×Dic59C22×D411yescharacteristic
777D236—22no—
778D236—21no—
779D236—21no—
780D236—21no—
781D236—21no—
782D236—42no—
783D236—42no—
784D236—42no—
785D236—81no—
786C4×D59—22no—
787C4×D59—22no—
788C4×D59—22no—
789C4×D59—22no—
790C4×D59—21no—
791C4×D59—21no—
792C4×D59—21no—
793C4×D59—21no—
794C4×D59—22no—
795C4×D59—22no—
796C4×D59—42no—
797C4×D59—42no—
798C4×D59—42no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—42no—
802C4×D59—42no—
803C4×D59—42no—
804C4×D59—42no—
805C4×D59—42no—
806C4×D59—42no—
807C4×D59—42no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59C2×#4112yes—
813C4×D592−1+412yes—
814Dic118—42no—
815Dic118—42no—
816Dic118—42no—
817C8×C59—21no—
818C8×C59—21no—
819C8×C59—21no—
820C8×C59C2×#4112yescomplemented
821C59⋊C8—21no—
822C59⋊C8—21no—
823C59⋊C8—21no—
824C59⋊C8C2×#4112yescomplemented
825C2×#3345—591nomaximal, Sylow
826C22×C59—21no—
827C22×C59—21no—
828C22×C59—21no—
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59C2×AGL(1,ℤ/8)12yes—
838C22×C59C23×D411yescharacteristic
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—28no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—44no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—84no—
853C2×D59—84no—
854C2×D59#54712yes—
855C2×D59C2×AGL(1,ℤ/8)12yes—
856C2×D59C2×AGL(1,ℤ/8)12yes—
857C2×D59#57712yes—
858C4×C59—21no—
859C4×C59—21no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—41no—
863C4×C59—41no—
864C4×C59—41no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59C22×#4111yescharacteristic
869C4×C59C2×2−1+411yescharacteristic
870Dic59—21no—
871Dic59—21no—
872Dic59—21no—
873Dic59—21no—
874Dic59—41no—
875Dic59—41no—
876Dic59—41no—
877Dic59—41no—
878Dic59—41no—
879Dic59—41no—
880Dic59#54712yes—
881C2×#553—591no—
882C2×#547—591no—
883#3345—591no—
884#3345—591no—
885#3345—591no—
886#3345—591no—
887#3345—591no—
888#3345—591no—
889#3345—591no—
890#3345—591no—
891#3345—591no—
892#3345—591no—
893#3345—591no—
894#3345—591no—
895#3345—591no—
896#3345—591no—
897#3345—591no—
898#3345D5911yescharacteristic, direct product factor
899C2×#501—591no—
900C2×#481—591no—
901C2×#481—591no—
902C2×#482—591no—
903C2×#480—591no—
904C2×#478—591no—
905C2×#476—591no—
906C2×#469—591no—
907C2×#466—591no—
908C2×#442—591no—
909C2×#435—591no—
910C2×#428—591no—
911C22×#106—591no—
912C2×C59—22no—
913C2×C59—41no—
914C2×C59—81no—
915C2×C59—81no—
916C2×C59C2×#54711yescharacteristic
917C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
918C2×C59C2×#57711yescharacteristic
919D59—22no—
920D59—41no—
921D59—81no—
922D59—81no—
923D59#334514yesdirect product factor
924C22×#41—1181no—
925C22×D8—591no—
926C22×M16—591no—
927C23×C8—591no—
928#553—591no—
929#553—591no—
930#553—591no—
931#553—591no—
932#553—591no—
933#553—591no—
934#553—591no—
935#553—1181no—
936#553—1181no—
937#553—1181no—
938#553—1181no—
939#553C2×D5911yescharacteristic, complemented
940#547—591no—
941#547—591no—
942#547—591no—
943#547—591no—
944#547—591no—
945#547—591no—
946#547—591no—
947#547—1181no—
948#547—1181no—
949#547—1181no—
950#547—1181no—
951#547C2×D5911yescharacteristic, complemented
952C2×C4⋊Q8—591no—
953C2×#126—1181no—
954C2×#125—591no—
955C2×#123—1181no—
956C2×#123—1181no—
957C2×#123—1181no—
958C2×C22⋊Q8—1181no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—1181no—
964C2×C4×D4—591no—
965C2×C4×D4—591no—
966C2×C4×D4—591no—
967C2×C4×D4—1181no—
968C2×#117—591no—
969C22×C4⋊C4—591no—
970C22×C4⋊C4—591no—
971C22×C4⋊C4—591no—
972#501—591no—
973#501—591no—
974#501—591no—
975#501—591no—
976#501—591no—
977#501—591no—
978#501—591no—
979#501C2×D5911yescharacteristic, complemented
980#482—591no—
981#482—591no—
982#482—591no—
983#482—591no—
984#482—591no—
985#482—591no—
986#482—591no—
987#482C2×D5911yescharacteristic, complemented
988#481—591no—
989#481—591no—
990#481—591no—
991#481—591no—
992#481—591no—
993#481—591no—
994#481—591no—
995#481—591no—
996#481—591no—
997#481—591no—
998#481—591no—
999#481—591no—
1000#481—591no—
1001#481—591no—
1002#481C2×D5911yescharacteristic, complemented
1003#481C2×D5911yescharacteristic, complemented
1004#480—591no—
1005#480—591no—
1006#480—591no—
1007#480—591no—
1008#480—591no—
1009#480—591no—
1010#480—591no—
1011#480C2×D5911yescharacteristic, complemented
1012#478—591no—
1013#478—591no—
1014#478—591no—
1015#478—591no—
1016#478—591no—
1017#478—591no—
1018#478—591no—
1019#478C2×D5911yescharacteristic, complemented
1020#476—591no—
1021#476—591no—
1022#476—591no—
1023#476—591no—
1024#476—591no—
1025#476—591no—
1026#476—591no—
1027#476C2×D5911yescharacteristic, complemented
1028#469—591no—
1029#469—591no—
1030#469—591no—
1031#469—591no—
1032#469—591no—
1033#469—591no—
1034#469—591no—
1035#469C2×D5911yescharacteristic, complemented
1036#466—591no—
1037#466—591no—
1038#466—591no—
1039#466—591no—
1040#466—591no—
1041#466—591no—
1042#466—591no—
1043#466C2×D5911yescharacteristic, complemented
1044#442—591no—
1045#442—591no—
1046#442—591no—
1047#442—591no—
1048#442—591no—
1049#442—591no—
1050#442—591no—
1051#442C2×D5911yescharacteristic, complemented
1052#435—591no—
1053#435—591no—
1054#435—591no—
1055#435—591no—
1056#435—591no—
1057#435—591no—
1058#435—591no—
1059#435C2×D5911yescharacteristic, complemented
1060#428—591no—
1061#428—591no—
1062#428—591no—
1063#428—591no—
1064#428—591no—
1065#428—591no—
1066#428—591no—
1067#428C2×D5911yescharacteristic, complemented
1068C2×#107—591no—
1069C2×#107—591no—
1070C2×#107—591no—
1071C2×#106—591no—
1072C2×#106—591no—
1073C2×#106—591no—
1074C2×#106—591no—
1075C2×#106—591no—
1076C2×#106—591no—
1077C2×#106—591no—
1078C2×#106—591no—
1079C2×#106—591no—
1080C2×#106—591no—
1081C2×#106—591no—
1082C2×#106—591no—
1083C2×#106—591no—
1084C2×#106C2×D5911yescharacteristic, complemented
1085C2×C4⋊C8—591no—
1086C2×#102—591no—
1087C2×#102—591no—
1088C2×#102—591no—
1089C2×#102—591no—
1090C2×#102—591no—
1091C2×#102—591no—
1092C2×C22⋊C8—591no—
1093C2×C22⋊C8—591no—
1094C2×#97—591no—
1095C59C2×#334511yescharacteristic, complemented, Sylow
1096C2×#41—21no—
1097C2×#41—1181no—
1098C2×#41—1181no—
1099C2×#41—1181no—
1100C2×#41—1181no—
1101C2×#41—1181no—
1102C2×#41—1181no—
1103C2×#41—1181no—
1104C2×#41—2368no—
1105C22×Q8—1181no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—1181no—
1110C22×D4—1181no—
1111C22×D4—1181no—
1112C22×D4—1181no—
1113C23×C4—591no—
1114C23×C4—591no—
1115C23×C4—1181no—
1116C23×C4—1181no—
1117C23×C4—1181no—
1118C23×C4—1181no—
1119C23×C4—1181no—
1120C2×D8—591no—
1121C2×D8—591no—
1122C2×D8—591no—
1123C2×D8—1184no—
1124C2×D8C22×D5911yescharacteristic
1125C2×M16—591no—
1126C2×M16—591no—
1127C2×M16—591no—
1128C2×M16—1184no—
1129C2×M16C22×D5911yescharacteristic
1130C22×C8—591no—
1131C22×C8—591no—
1132C22×C8—591no—
1133C22×C8—591no—
1134C22×C8—591no—
1135C22×C8—591no—
1136C22×C8—591no—
1137C22×C8—1184no—
1138C22×C8C22×D5911yescharacteristic
1139C4⋊Q8—591no—
1140C4⋊Q8—591no—
1141C4⋊Q8—591no—
1142C4⋊Q8—1181no—
1143C4⋊Q8—1181no—
1144C4⋊Q8C22×D5911yescharacteristic
1145#126—21no—
1146#126—1181no—
1147#126—1181no—
1148#126—1181no—
1149#126—1181no—
1150#126—1181no—
1151#126—1181no—
1152#126—1181no—
1153#125—591no—
1154#125—591no—
1155#125—591no—
1156#125—1181no—
1157#125—1181no—
1158#125C22×D5911yescharacteristic
1159#123—21no—
1160#123—21no—
1161#123—21no—
1162#123—1181no—
1163#123—1181no—
1164#123—1181no—
1165#123—1181no—
1166#123—1181no—
1167#123—1181no—
1168#123—1181no—
1169#123—1181no—
1170#123—1181no—
1171#123—1181no—
1172#123—1181no—
1173#123—1181no—
1174#123—1181no—
1175#123—1181no—
1176#123—1181no—
1177#123—1181no—
1178#123—1181no—
1179#123—1181no—
1180#123—1181no—
1181#123—1181no—
1182#123—1181no—
1183C22⋊Q8—21no—
1184C22⋊Q8—1181no—
1185C22⋊Q8—1181no—
1186C22⋊Q8—1181no—
1187C22⋊Q8—1181no—
1188C22⋊Q8—1181no—
1189C22⋊Q8—1181no—
1190C22⋊Q8—1181no—
1191#121—21no—
1192#121—591no—
1193#121—591no—
1194#121—591no—
1195#121—591no—
1196#121—591no—
1197#121—591no—
1198#121—591no—
1199#121—591no—
1200#121—591no—
1201#121—591no—
1202#121—591no—
1203#121—591no—
1204#121—1181no—
1205#121—1181no—
1206#121—1181no—
1207#121—1181no—
1208#121—1181no—
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#121C22×D5911yescharacteristic
1220#121C22×D5911yescharacteristic
1221#121C22×D5911yescharacteristic
1222#121C22×D5911yescharacteristic
1223C4×D4—21no—
1224C4×D4—591no—
1225C4×D4—591no—
1226C4×D4—591no—
1227C4×D4—591no—
1228C4×D4—591no—
1229C4×D4—591no—
1230C4×D4—591no—
1231C4×D4—591no—
1232C4×D4—591no—
1233C4×D4—591no—
1234C4×D4—591no—
1235C4×D4—591no—
1236C4×D4—591no—
1237C4×D4—1181no—
1238C4×D4—1181no—
1239C4×D4—1181no—
1240C4×D4—1181no—
1241C4×D4—1181no—
1242C4×D4—1181no—
1243C4×D4—1181no—
1244C4×D4—1181no—
1245C4×D4—1181no—
1246C4×D4—1181no—
1247C4×D4—1181no—
1248C4×D4C22×D5911yescharacteristic
1249C4×D4C22×D5911yescharacteristic
1250C4×D4C22×D5911yescharacteristic
1251#117—591no—
1252#117—591no—
1253#117—591no—
1254#117—1181no—
1255#117—1181no—
1256#117C22×D5911yescharacteristic
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—591no—
1260C2×C4⋊C4—591no—
1261C2×C4⋊C4—591no—
1262C2×C4⋊C4—591no—
1263C2×C4⋊C4—591no—
1264C2×C4⋊C4—591no—
1265C2×C4⋊C4—591no—
1266C2×C4⋊C4—591no—
1267C2×C4⋊C4—591no—
1268C2×C4⋊C4—591no—
1269C2×C4⋊C4—591no—
1270C2×C4⋊C4—591no—
1271C2×C4⋊C4—591no—
1272C2×C4⋊C4—591no—
1273C2×C4⋊C4—1181no—
1274C2×C4⋊C4—1181no—
1275C2×C4⋊C4—1181no—
1276C2×C4⋊C4—1181no—
1277C2×C4⋊C4—1181no—
1278C2×C4⋊C4—1181no—
1279C2×C4⋊C4—1181no—
1280C2×C4⋊C4—1181no—
1281C2×C4⋊C4—1181no—
1282C2×C4⋊C4—1181no—
1283C2×C4⋊C4—1181no—
1284C2×C4⋊C4—1181no—
1285C2×C4⋊C4C22×D5911yescharacteristic
1286C2×C4⋊C4C22×D5911yescharacteristic
1287C2×C4⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4—591no—
1289C2×C22⋊C4—591no—
1290C2×C22⋊C4—1181no—
1291C2×C22⋊C4—1181no—
1292C2×C22⋊C4—1181no—
1293C2×C22⋊C4—1181no—
1294C2×C22⋊C4—1181no—
1295C2×C22⋊C4—1181no—
1296C2×C22⋊C4—1181no—
1297C2×C42—591no—
1298C2×C42—1181no—
1299#107—591no—
1300#107—591no—
1301#107—591no—
1302#107—591no—
1303#107—591no—
1304#107—591no—
1305#107—591no—
1306#107—591no—
1307#107—591no—
1308#107C22×D5911yescharacteristic
1309#107C22×D5911yescharacteristic
1310#107C22×D5911yescharacteristic
1311#106—591no—
1312#106—591no—
1313#106—591no—
1314#106—591no—
1315#106—591no—
1316#106—591no—
1317#106—591no—
1318#106—591no—
1319#106—591no—
1320#106—591no—
1321#106—591no—
1322#106—591no—
1323#106—591no—
1324#106—591no—
1325#106—591no—
1326#106—591no—
1327#106—591no—
1328#106—591no—
1329#106C22×D5911yescharacteristic
1330#106C22×D5911yescharacteristic
1331#106C22×D5911yescharacteristic
1332#106C22×D5911yescharacteristic
1333#106C22×D5911yescharacteristic
1334#106C22×D5911yescharacteristic
1335C4⋊C8—591no—
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8C22×D5911yescharacteristic
1339#102—591no—
1340#102—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#102C22×D5911yescharacteristic
1358#102C22×D5911yescharacteristic
1359#102C22×D5911yescharacteristic
1360#102C22×D5911yescharacteristic
1361#102C22×D5911yescharacteristic
1362#102C22×D5911yescharacteristic
1363C22⋊C8—591no—
1364C22⋊C8—591no—
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
1375C24—591no—
1376C24—591no—
1377C24—1181no—
1378C24—1181no—
1379#41—44no—
1380#41—2364no—
1381#41—2364no—
1382#41—2364no—
1383#41—2364no—
1384#41—2364no—
1385#41—2364no—
1386#41—2364no—
1387C2×Q8—21no—
1388C2×Q8—1181no—
1389C2×Q8—1181no—
1390C2×Q8—1181no—
1391C2×Q8—2364no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—21no—
1395C2×D4—21no—
1396C2×D4—591no—
1397C2×D4—591no—
1398C2×D4—591no—
1399C2×D4—591no—
1400C2×D4—591no—
1401C2×D4—1181no—
1402C2×D4—1181no—
1403C2×D4—1181no—
1404C2×D4—1181no—
1405C2×D4—1182no—
1406C2×D4—1182no—
1407C2×D4—1182no—
1408C2×D4—1182no—
1409C2×D4—1181no—
1410C2×D4—1181no—
1411C2×D4—1184no—
1412C2×D4—1181no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—4722no—
1421C2×D4—2364no—
1422C2×D4—2364no—
1423C2×D4—2364no—
1424C2×D4D4×D5911yescharacteristic
1425C2×D4C23×D5911yescharacteristic
1426C2×D4C23×D5911yescharacteristic
1427C22×C4—21no—
1428C22×C4—21no—
1429C22×C4—21no—
1430C22×C4—21no—
1431C22×C4—21no—
1432C22×C4—591no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—591no—
1436C22×C4—591no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—1182no—
1444C22×C4—1182no—
1445C22×C4—1182no—
1446C22×C4—1182no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—1181no—
1463C22×C4—1181no—
1464C22×C4—1181no—
1465C22×C4—1181no—
1466C22×C4—1181no—
1467C22×C4—1181no—
1468C22×C4—4722no—
1469C22×C4—4722no—
1470C22×C4—2364no—
1471C22×C4—2364no—
1472C22×C4—2364no—
1473C22×C4C23×D5911yescharacteristic
1474C22×C4C23×D5911yescharacteristic
1475D8—22no—
1476D8—1182no—
1477D8—1182no—
1478D8—1182no—
1479M16—22no—
1480M16—1182no—
1481M16—1182no—
1482M16—1182no—
1483C2×C8—22no—
1484C2×C8—591no—
1485C2×C8—594no—
1486C2×C8—591no—
1487C2×C8—591no—
1488C2×C8—591no—
1489C2×C8—1182no—
1490C2×C8—1182no—
1491C2×C8—1182no—
1492C2×C8—1182no—
1493C2×C8—1182no—
1494C2×C8—1182no—
1495C2×C8C23×D5911yescharacteristic
1496C2×C8C23×D5911yescharacteristic
1497C2×C8C23×D5911yescharacteristic
1498C2×C8C23×D5911yescharacteristic
1499C4⋊C4—21no—
1500C4⋊C4—21no—
1501C4⋊C4—21no—
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—591no—
1506C4⋊C4—591no—
1507C4⋊C4—591no—
1508C4⋊C4—591no—
1509C4⋊C4—591no—
1510C4⋊C4—591no—
1511C4⋊C4—591no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—1181no—
1515C4⋊C4—1181no—
1516C4⋊C4—1181no—
1517C4⋊C4—1181no—
1518C4⋊C4—1181no—
1519C4⋊C4—1181no—
1520C4⋊C4—1181no—
1521C4⋊C4—1181no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
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⋊C4D4×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C4⋊C4C23×D5911yescharacteristic
1542C4⋊C4C23×D5911yescharacteristic
1543C4⋊C4C23×D5911yescharacteristic
1544C4⋊C4C23×D5911yescharacteristic
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—591no—
1556C22⋊C4—591no—
1557C22⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1580C22⋊C4D4×D5911yescharacteristic
1581C42—21no—
1582C42—591no—
1583C42—591no—
1584C42—591no—
1585C42—1181no—
1586C42—1181no—
1587C42—1181no—
1588C42C23×D5911yescharacteristic
1589C23—21no—
1590C23—21no—
1591C23—591no—
1592C23—594no—
1593C23—591no—
1594C23—591no—
1595C23—1182no—
1596C23—1182no—
1597C23—1182no—
1598C23—1182no—
1599C23—1182no—
1600C23—1181no—
1601C23—1181no—
1602C23—2362no—
1603C23—2362no—
1604C23—2362no—
1605C23—2362no—
1606C23—2362no—
1607C23—2362no—
1608C23C2×D4×D5911yescharacteristic
1609C23C2×D4×D5911yescharacteristic
1610Q8—42no—
1611Q8—2362no—
1612Q8—2362no—
1613Q8—2362no—
1614D4—22no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—42no—
1621D4—42no—
1622D4—81no—
1623D4—1182no—
1624D4—1182no—
1625D4—1182no—
1626D4—1181no—
1627D4—1181no—
1628D4—1181no—
1629D4—1181no—
1630D4—4721no—
1631D4—4721no—
1632D4—4721no—
1633D4—2362no—
1634D4—2362no—
1635D4—2362no—
1636D4—2362no—
1637D4—2362no—
1638D4—2362no—
1639D4—2362no—
1640D4—2362no—
1641D4—2362no—
1642D4—2362no—
1643D4—2362no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—42no—
1655C2×C4—42no—
1656C2×C4—42no—
1657C2×C4—81no—
1658C2×C4—81no—
1659C2×C4—591no—
1660C2×C4—592no—
1661C2×C4—592no—
1662C2×C4—591no—
1663C2×C4—591no—
1664C2×C4—591no—
1665C2×C4—591no—
1666C2×C4—1182no—
1667C2×C4—1182no—
1668C2×C4—1182no—
1669C2×C4—1182no—
1670C2×C4—1182no—
1671C2×C4—1182no—
1672C2×C4—1182no—
1673C2×C4—1182no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—4721no—
1685C2×C4—4721no—
1686C2×C4—4721no—
1687C2×C4—4721no—
1688C2×C4—4721no—
1689C2×C4—4721no—
1690C2×C4—2362no—
1691C2×C4—2362no—
1692C2×C4—2362no—
1693C2×C4—2362no—
1694C2×C4—2362no—
1695C2×C4—2362no—
1696C2×C4—2362no—
1697C2×C4—2362no—
1698C2×C4—2362no—
1699C2×C4—2362no—
1700C2×C4—2362no—
1701C2×C4—2362no—
1702C2×C4—2362no—
1703C2×C4—2362no—
1704C2×C4—2362no—
1705C2×C4C2×D4×D5911yescharacteristic
1706C2×C4C2×D4×D5911yescharacteristic
1707C2×C4C2×D4×D5911yescharacteristic
1708C2×C4C2×D4×D5911yescharacteristic
1709C2×C4C24×D5911yescharacteristic
1710C8—21no—
1711C8—21no—
1712C8—21no—
1713C8—592no—
1714C8—1181no—
1715C8—1181no—
1716C8—1181no—
1717C8#41×D5912yescomplemented
1718C22—21no—
1719C22—21no—
1720C22—21no—
1721C22—21no—
1722C22—21no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—592no—
1730C22—592no—
1731C22—592no—
1732C22—592no—
1733C22—1188no—
1734C22—1181no—
1735C22—1181no—
1736C22—1181no—
1737C22—1181no—
1738C22—1181no—
1739C22—4724no—
1740C22—4724no—
1741C22—2364no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22AGL(1,ℤ/8)×D5912yes—
1749C22C22×D4×D5911yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—592no—
1761C4—1181no—
1762C4—1181no—
1763C4—1181no—
1764C4—1181no—
1765C4—2361no—
1766C4—2361no—
1767C4—2361no—
1768C4—2361no—
1769C4—2361no—
1770C4—2361no—
1771C4C2×#41×D5911yescharacteristic
1772C42−1+4×D5911yescharacteristic
1773C2—22no—
1774C2—41no—
1775C2—81no—
1776C2—81no—
1777C2—594no—
1778C2—1182no—
1779C2—4721no—
1780C2—4721no—
1781C2—2361no—
1782C2#547×D5911yescharacteristic
1783C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1784C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3345C2
socleC22×C59C23×D4
hypercenter#3345D59
hypocenterC59C2×#3345
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. #553×D59C2semidirect
2. #547×D59C2semidirect
3. #21436573C2semidirect
4. #21436572C2semidirect
5. #21436571C2semidirect
6. #21436570C2semidirect
7. #21436569C2semidirect
8. #21436568C2semidirect
9. #21436567C2semidirect
10. #21436566C2semidirect
11. #21436565C2semidirect
12. #21436564C2semidirect
13. #21436563C2semidirect
14. #21436562C2semidirect
15. #21436561C2semidirect
16. #21436560C2semidirect
17. #21436559C2semidirect
18. #501×D59C2semidirect
19. #481×D59C2semidirect
20. #481×D59C2semidirect
21. #482×D59C2semidirect
22. #480×D59C2semidirect
23. #478×D59C2semidirect
24. #476×D59C2semidirect
25. #469×D59C2semidirect
26. #466×D59C2semidirect
27. #442×D59C2semidirect
28. #435×D59C2semidirect
29. #428×D59C2semidirect
30. C2×#106×D59C2semidirect
31. C59×#3345C2semidirect
36. #16838105C22semidirect
37. #16838104C22semidirect
39. #16838102C22semidirect
41. #16838100C22semidirect
42. #16838099C22semidirect
43. #16838098C22semidirect
45. #16838096C22semidirect
47. #16838057C22semidirect
48. #16838056C22semidirect
49. #16838055C22semidirect
51. #16838053C22semidirect
52. #16838053C22semidirect
53. #16838052C22semidirect
54. #16838052C22semidirect
78. #16837812C22semidirect
79. #16837811C22semidirect
80. #16837810C22semidirect
81. #16837810C22semidirect
82. #16837809C22semidirect
83. #16837809C22semidirect
84. #16837808C22semidirect
85. #16837729C22semidirect
86. #16837728C22semidirect
87. #16837727C22semidirect
88. #16837726C22semidirect
89. #16837725C22semidirect
90. #16837724C22semidirect
91. #16837723C22semidirect
92. #16837722C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837722C22semidirect
96. #16837721C22semidirect
97. #16837721C22semidirect
98. #16837720C22semidirect
99. #16837720C22semidirect
100. #16837719C22semidirect
101. #16837719C22semidirect
102. #16837719C22semidirect
103. #16837719C22semidirect
104. #16837718C22semidirect
105. #16837718C22semidirect
106. #16837717C22semidirect
107. #16837717C22semidirect
108. #16837716C22semidirect
109. #16837715C22semidirect
110. #16837714C22semidirect
111. #16837714C22semidirect
112. #16837713C22semidirect
113. #16837705C22semidirect
114. #16837704C22semidirect
115. #16837703C22semidirect
116. #16837702C22semidirect
117. #16837701C22semidirect
118. #16837700C22semidirect
119. #16837699C22semidirect
120. #16837693C22semidirect
121. #16837692C22semidirect
122. #16837691C22semidirect
123. #16837691C22semidirect
124. #16837690C22semidirect
125. #16837690C22semidirect
126. #16837689C22semidirect
127. #16837656C22semidirect
128. #16837655C22semidirect
129. #16837654C22semidirect
130. #16837654C22semidirect
131. #16837653C22semidirect
132. #16837653C22semidirect
133. #16837652C22semidirect
134. #16837639C22semidirect
135. #16837638C22semidirect
136. #16837637C22semidirect
137. #16837637C22semidirect
138. #16837636C22semidirect
139. #16837636C22semidirect
140. #16837635C22semidirect
141. #16837515C22semidirect
142. #16837514C22semidirect
143. #16837513C22semidirect
144. #16837512C22semidirect
145. #16837512C22semidirect
146. #16837511C22semidirect
147. #16837511C22semidirect
148. #16837476C22semidirect
149. #16837475C22semidirect
150. #16837474C22semidirect
151. #16837473C22semidirect
152. #16837472C22semidirect
153. #16837471C22semidirect
154. #16837470C22semidirect
155. #16837445C22semidirect
156. #16837444C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #16837442C22semidirect
160. #16837441C22semidirect
161. #16837441C22semidirect
165. C2×#14273659C22semidirect
166. C2×#14273658C22semidirect
167. C2×#14273658C22semidirect
174. #106×D59C22semidirect
175. #106×D59C22semidirect
176. #106×D59C22semidirect
177. #106×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
695. C8×D59#41semidirect
820. C8×C59C2×#41semidirect
824. C59⋊C8C2×#41semidirect
898. #3345D59direct (N × H)
923. D59#3345direct (N × H)
939. #553C2×D59semidirect
951. #547C2×D59semidirect
979. #501C2×D59semidirect
987. #482C2×D59semidirect
1002. #481C2×D59semidirect
1003. #481C2×D59semidirect
1011. #480C2×D59semidirect
1019. #478C2×D59semidirect
1027. #476C2×D59semidirect
1035. #469C2×D59semidirect
1043. #466C2×D59semidirect
1051. #442C2×D59semidirect
1059. #435C2×D59semidirect
1067. #428C2×D59semidirect
1084. C2×#106C2×D59semidirect
1095. C59C2×#3345semidirect
1717. C8#41×D59semidirect

Maximal subgroups

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

subgroupindex
#553×D592
#547×D592
#214365732
#214365722
#214365712
#214365702
#214365692
#214365682
#214365672
#214365662
#214365652
#214365642
#214365632
#214365622
#214365612
#214365602
#214365592
#501×D592
#481×D592
#482×D592
#480×D592
#478×D592
#476×D592
#469×D592
#466×D592
#442×D592
#435×D592
#428×D592
C2×#106×D592
C59×#33452
C2×#334559