Finite Group Databasebeta

← #29470609

Subgroups — #29470609

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#21437701C211yesmaximal, characteristic, complemented
2#21437583C211yesmaximal, characteristic, complemented
3#21437133C211yesmaximal, characteristic, complemented
4#21436990C211yesmaximal, characteristic, complemented
5#21436885C211yesmaximal, characteristic, complemented
6#21436804C211yesmaximal, characteristic, complemented
7#21436566C211yesmaximal, characteristic, complemented
8#21436559C211yesmaximal, characteristic, complemented
9#21436446C211yesmaximal, characteristic, complemented
10#21436239C211yesmaximal, characteristic, complemented
11#21436232C211yesmaximal, characteristic, complemented
12#21436058C211yesmaximal, characteristic, complemented
13#21435915C211yesmaximal, characteristic, complemented
14#21435905C211yesmaximal, characteristic, complemented
15#21435766C211yesmaximal, characteristic, complemented
16#21435579C211yesmaximal, characteristic, complemented
17#21435577C211yesmaximal, characteristic, complemented
18#21434829C211yesmaximal, characteristic, complemented
19#21434797C211yesmaximal, characteristic, complemented
20#21434787C211yesmaximal, characteristic, complemented
21#21434240C211yesmaximal, characteristic, complemented
22#21434237C211yesmaximal, characteristic, complemented
23#21434233C211yesmaximal, characteristic, complemented
24#21434189C211yesmaximal, characteristic, complemented
25#21434184C211yesmaximal, characteristic, complemented
26#21434182C211yesmaximal, characteristic, complemented
27#21433106C211yesmaximal, characteristic, complemented
28#21432909C211yesmaximal, characteristic, complemented
29C2×#16837511C211yesmaximal, characteristic, complemented
30#442×D59C211yesmaximal, characteristic, complemented
31C59×#3306C211yesmaximal, characteristic, complemented
32C2×#41×D59—21no—
33C2×#14273752C2211yescharacteristic
34C22×#11745669C2211yescharacteristic
35C2×D8×D59C2211yescharacteristic
36#16838134C2211yescharacteristic, complemented
37#16838111C2211yescharacteristic, complemented
38#16838110C2211yescharacteristic, complemented
39#16838099C2211yescharacteristic, complemented
40#16838098C2211yescharacteristic, complemented
41#16838095—21no—
42#16838078—21no—
43#16838075—21no—
44#16838073C2211yescharacteristic, complemented
45#16838067C2211yescharacteristic, complemented
46#16838062—21no—
47#16838053C2211yescharacteristic
48#16838053C2211yescharacteristic, complemented
49#16838044—21no—
50#16838044—21no—
51#16838040—21no—
52#16838040C2211yescharacteristic, complemented
53#16838039—21no—
54D4×D236C2211yescharacteristic, complemented
55#16838036C2211yescharacteristic
56#16838036C2211yescharacteristic, complemented
57D4×C22⋊D59C2211yescharacteristic, complemented
58#16837953C2211yescharacteristic, complemented
59#16837947C2211yescharacteristic, complemented
60#16837947C2211yescharacteristic, complemented
61#16837947C2211yescharacteristic, complemented
62#16837938C2211yescharacteristic, complemented
63#16837931C2211yescharacteristic, complemented
64#16837929—21no—
65#16837915—21no—
66#16837912—21no—
67#16837910—21no—
68#16837910—21no—
69#16837908—21no—
70#41×Dic59C2211yescharacteristic, complemented
71C4×#11745687C2211yescharacteristic
72C2×D4×Dic59C2211yescharacteristic, complemented
73C2×#14273689C2211yescharacteristic, complemented
74C2×#14273689C2211yescharacteristic, complemented
75C2×(C22⋊D59)⋊C4—21no—
76C4×D4×D59C2211yescharacteristic, complemented
77C4×D4×D59C2211yescharacteristic, complemented
78#16837809C2211yescharacteristic, complemented
79#16837808C2211yescharacteristic, complemented
80#16837799C2211yescharacteristic, complemented
81#16837792C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837777C2211yescharacteristic, complemented
84#16837767C2211yescharacteristic, complemented
85#16837765C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837747C2211yescharacteristic, complemented
89#16837731C2211yescharacteristic, complemented
90#16837727C2211yescharacteristic, complemented
91#16837723C2211yescharacteristic, complemented
92#16837722C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837721C2211yescharacteristic, complemented
95#16837720C2211yescharacteristic, complemented
96#16837718C2211yescharacteristic, complemented
97#16837715C2211yescharacteristic, complemented
98#16837714C2211yescharacteristic, complemented
99#16837703C2211yescharacteristic, complemented
100#16837702C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837690C2211yescharacteristic, complemented
107#16837689C2211yescharacteristic, complemented
108#16837685C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837655C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837638C2211yescharacteristic, complemented
114#16837637C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837620C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837600C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837597C2211yescharacteristic, complemented
126#16837596C2211yescharacteristic
127#16837596C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837595C2211yescharacteristic, complemented
130#16837595C2211yescharacteristic, complemented
131#16837552C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic, complemented
133#16837547C2211yescharacteristic, complemented
134#16837538C2211yescharacteristic
135#16837538C2211yescharacteristic, complemented
136#16837537C2211yescharacteristic, complemented
137#16837537C2211yescharacteristic, complemented
138#16837536C2211yescharacteristic, complemented
139#16837535C2211yescharacteristic, complemented
140#16837534C2211yescharacteristic
141#16837531C2211yescharacteristic, complemented
142#16837530C2211yescharacteristic, complemented
143#16837515C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic, complemented
145#16837514C2211yescharacteristic, complemented
146#16837513C2211yescharacteristic, complemented
147#16837513C2211yescharacteristic, complemented
148#16837513C2211yescharacteristic, complemented
149#16837512C2211yescharacteristic
150#16837512C2211yescharacteristic, complemented
151#16837511C2211yescharacteristic
152#16837511C2211yescharacteristic
153#16837511C2211yescharacteristic, complemented
154#16837511C2211yescharacteristic, complemented
155#16837511C2211yescharacteristic, complemented
156#16837511C2211yescharacteristic, complemented
157#16837511C2211yescharacteristic, complemented
158#16837511C2211yescharacteristic, complemented
159#16837511C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837511C2211yescharacteristic, complemented
162#16837505C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837505C2211yescharacteristic, complemented
165#16837503C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837487C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic
169#16837482C2211yescharacteristic, 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#16837442C2211yescharacteristic, complemented
179C2×#14273658C2211yescharacteristic, complemented
180#106×D59C2211yescharacteristic, complemented
181#16837408C2211yescharacteristic, complemented
182C2×#14273649C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185M16×Dic59C2211yescharacteristic, complemented
186C2×#14273637C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#547C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic, complemented
190C59×#489C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203C2×#11745689—21no—
204C2×#11745685—21no—
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745687—21no—
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687D411yescharacteristic
211#41×D59—48no—
212C2×Q8×D59—21no—
213C22×D236C2311yescharacteristic
214C22×D236C2311yescharacteristic
215C22×C22⋊D59—21no—
216C2×D4×D59—21no—
217C2×D4×D59—21no—
218C2×D4×D59—21no—
219C2×D4×D59C2311yescharacteristic
220C2×D4×D59C2311yescharacteristic
221C23×Dic59—21no—
222C22×C4×D59—21no—
223C22×C4×D59—21no—
224C22×C4×D59—21no—
225C22×C4×D59—21no—
226#14273752—24no—
227C2×#11745671C2311yescharacteristic
228C2×#11745671C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×D472C2311yescharacteristic
231C2×D472C2311yescharacteristic
232C2×D472C2311yescharacteristic
233C2×#11745669—24no—
234C2×#11745669C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241D8×D59—24no—
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245C2×C8×D59C2311yescharacteristic
246#14273726C2311yescharacteristic
247#14273726C2311yescharacteristic
248#14273726C2311yescharacteristic
249#14273724C2311yescharacteristic
250#14273723C2311yescharacteristic
251#14273723C2311yescharacteristic
252#14273723C2311yescharacteristic
253#14273722—21no—
254#14273722—21no—
255#14273720—21no—
256#14273720—21no—
257#14273719C2311yescharacteristic
258#14273718C2311yescharacteristic
259#14273717—21no—
260#14273716—21no—
261#14273716C2311yescharacteristic
262#14273713—21no—
263#14273713—21no—
264#14273713—21no—
265#14273713—21no—
266#14273712—21no—
267#14273712—21no—
268#14273711—21no—
269#14273711—21no—
270#14273710—21no—
271#14273710—21no—
272#14273710—21no—
273#14273709—21no—
274#14273709—21no—
275#14273709—21no—
276#14273708—21no—
277#14273707—21no—
278#14273706—21no—
279#14273705—21no—
280#14273705—21no—
281#14273705—21no—
282#14273705—21no—
283#14273704—21no—
284#14273704—21no—
285#14273704—21no—
286#14273703—21no—
287#14273703C2311yescharacteristic
288#14273702—21no—
289#14273702—21no—
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#14273699—21no—
302#14273699—21no—
303#14273699—21no—
304#14273699—21no—
305#14273699—21no—
306#14273699—21no—
307#14273698—21no—
308#14273698C2311yescharacteristic
309#14273697—21no—
310#14273697—21no—
311#14273697—21no—
312#14273697—21no—
313#14273696—21no—
314#14273695—21no—
315#14273695—21no—
316#14273695—21no—
317#14273695—21no—
318Q8×Dic59C2311yescharacteristic
319Q8×Dic59C2311yescharacteristic
320C4×Dic118C2311yescharacteristic
321#14273692D411yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324D4×Dic59—21no—
325D4×Dic59—21no—
326D4×Dic59—21no—
327D4×Dic59—21no—
328D4×Dic59D411yescharacteristic
329D4×Dic59C2311yescharacteristic
330D4×Dic59C2311yescharacteristic
331D4×Dic59C2311yescharacteristic
332D4×Dic59C2311yescharacteristic
333D4×Dic59C2311yescharacteristic
334D4×Dic59C2311yescharacteristic
335#14273689—21no—
336#14273689—21no—
337#14273689—21no—
338#14273689—21no—
339#14273689—21no—
340#14273689C2311yescharacteristic
341#14273689C2311yescharacteristic
342#14273689C2311yescharacteristic
343#14273689C2311yescharacteristic
344#14273689C2311yescharacteristic
345#14273689C2311yescharacteristic
346#14273689C2311yescharacteristic
347#14273689C2311yescharacteristic
348C4×C22⋊D59—21no—
349C4×C22⋊D59—21no—
350C4×C22⋊D59C2311yescharacteristic
351C4×C22⋊D59C2311yescharacteristic
352(C22⋊D59)⋊C4—21no—
353(C22⋊D59)⋊C4—21no—
354(C22⋊D59)⋊C4—21no—
355(C22⋊D59)⋊C4—21no—
356(C22⋊D59)⋊C4—21no—
357(C22⋊D59)⋊C4—21no—
358(C22⋊D59)⋊C4—21no—
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361(C22⋊D59)⋊C4—21no—
362(C22⋊D59)⋊C4—21no—
363(C22⋊D59)⋊C4D411yescharacteristic
364(C22⋊D59)⋊C4D411yescharacteristic
365#14273686—21no—
366#14273686C2311yescharacteristic
367#14273685—21no—
368#14273685D411yescharacteristic
369#14273683—21no—
370#14273683D411yescharacteristic
371#14273683D411yescharacteristic
372C2×C4⋊Dic59C2311yescharacteristic
373C2×Dic59⋊C4—21no—
374C4⋊C4×D59C2311yescharacteristic
375C4⋊C4×D59C2311yescharacteristic
376C2×C22⋊Dic59—21no—
377C2×(C2×D59)⋊C4—21no—
378C2×(C2×D59)⋊C4—21no—
379C2×(C2×D59)⋊C4—21no—
380C22⋊C4×D59—21no—
381C22⋊C4×D59—21no—
382C2×C4×Dic59—21no—
383C2×C4×Dic59C2311yescharacteristic
384C2×C4×Dic59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273660C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273659C2311yescharacteristic
391#14273659C2311yescharacteristic
392#14273658C2311yescharacteristic
393#14273658C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404#14273651C2311yescharacteristic
405#14273649C2311yescharacteristic
406#14273649C2311yescharacteristic
407#14273649C2311yescharacteristic
408#14273649C2311yescharacteristic
409#14273649C2311yescharacteristic
410#14273649C2311yescharacteristic
411#14273649C2311yescharacteristic
412#14273649C2311yescharacteristic
413#14273649C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273648C2311yescharacteristic
416#14273648C2311yescharacteristic
417#14273648C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273647C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426C22⋊(C59⋊C8)C2311yescharacteristic
427C22⋊(C59⋊C8)C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273637C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434#14273637C2311yescharacteristic
435#14273637C2311yescharacteristic
436#14273637C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C2×#41×C59—21no—
440C2×#41×C59C2311yescharacteristic
441C22×D4×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444C2×D8×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4⋊Q8×C59C2311yescharacteristic
448#124×C59C2311yescharacteristic
449#123×C59—21no—
450#123×C59—21no—
451#123×C59—21no—
452C22⋊Q8×C59—21no—
453C22⋊Q8×C59C2311yescharacteristic
454#121×C59—21no—
455#121×C59C2311yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#120×C59—21no—
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C2×C4⋊C4×C59C2311yescharacteristic
463C2×C4⋊C4×C59C2311yescharacteristic
464C2×C22⋊C4×C59—21no—
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467#106×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#103×C59C2311yescharacteristic
472#102×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
482C24×C59—21no—
483C23×D59—21no—
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487#41×C59—22no—
488#41×C59—41no—
489#41×C59—44no—
490C2×Q8×C59—21no—
491C2×Q8×C59C2411yescharacteristic
492C2×D4×C59—22no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—41no—
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—44no—
524C2×C22⋊D59C2×D411yescharacteristic
525C2×C22⋊D59C2×D411yescharacteristic
526C22×Dic59—21no—
527C22×Dic59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—82no—
534C22×Dic59C2×D411yescharacteristic
535C22×Dic59C2×D411yescharacteristic
536C22×Dic59C2×D411yescharacteristic
537C22×Dic59C2×D411yescharacteristic
538#11745689—44no—
539Q8×D59—44no—
540#11745687—24no—
541#11745687—44no—
542#11745687—44no—
543#11745687—82no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—44no—
549D4×D59—44no—
550D4×D59—44no—
551#11745685—44no—
552#11745685—44no—
553#11745685—44no—
554C2×D236—22no—
555C2×D236—22no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—21no—
562C2×D236—41no—
563C2×D236—41no—
564C2×D236C2411yescharacteristic
565C2×D236C2411yescharacteristic
566C2×D236C2411yescharacteristic
567C2×D236C2411yescharacteristic
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—21no—
579C2×C4×D59—21no—
580C2×C4×D59—44no—
581C2×C4×D59—44no—
582C2×C4×D59—44no—
583C2×C4×D59—82no—
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2×D411yescharacteristic
586C2×C4×D59C2411yescharacteristic
587C2×Dic118—21no—
588C2×Dic118—21no—
589C2×Dic118—21no—
590C2×Dic118C2×D411yescharacteristic
591SD16×C59—41no—
592D8×C59—22no—
593D8×C59—41no—
594M16×C59—41no—
595C2×C8×C59—41no—
596C2×C8×C59C2411yescharacteristic
597C2×C8×C59C2411yescharacteristic
598C2×C8×C59C2411yescharacteristic
599C2×C8×C59C2411yescharacteristic
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
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
618C22⋊C4×C59C2×D411yescharacteristic
619C42×C59C2411yescharacteristic
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59—21no—
624C22⋊Dic59—21no—
625C22⋊Dic59—21no—
626C22⋊Dic59—21no—
627C22⋊Dic59—21no—
628C22⋊Dic59C2×D411yescharacteristic
629C22⋊Dic59C2×D411yescharacteristic
630#11745671—22no—
631#11745671—22no—
632#11745671—41no—
633#11745669—22no—
634#11745669—22no—
635#11745669—22no—
636#11745669—22no—
637#11745669—22no—
638#11745669—41no—
639#11745669#4114yescomplemented
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)⋊C4—21no—
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
678Dic59⋊C4—21no—
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682Dic59⋊C4C2×D411yescharacteristic
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2×D411yescharacteristic
689C4×Dic59C2×D411yescharacteristic
690C4×Dic59C2×D411yescharacteristic
691C4×Dic59C2×D411yescharacteristic
692C4×Dic59C2411yescharacteristic
693C4×Dic59C2411yescharacteristic
694C4×Dic59C2411yescharacteristic
695#11745664—22no—
696C2×C59⋊C8—22no—
697C2×C59⋊C8C2411yescharacteristic
698C2×C59⋊C8C2411yescharacteristic
699C2×C59⋊C8C2411yescharacteristic
700C2×C59⋊C8C2411yescharacteristic
701D472—22no—
702D472—41no—
703D472—41no—
704C8×D59—22no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—42no—
710C23×C59—42no—
711C23×C59—81no—
712C23×C59C22×D411yescharacteristic
713C23×C59C22×D411yescharacteristic
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—42no—
719C22×D59—42no—
720C22×D59—42no—
721C22×D59—42no—
722C22×D59—42no—
723C22×D59—42no—
724C22×D59—42no—
725C22×D59—42no—
726C22×D59—81no—
727C22×D59—81no—
728C22×D59—81no—
729C22×D59—81no—
730C22×D59C22×D411yescharacteristic
731Q8×C59—21no—
732Q8×C59—21no—
733Q8×C59—42no—
734D4×C59—22no—
735D4×C59—21no—
736D4×C59—21no—
737D4×C59—21no—
738D4×C59—21no—
739D4×C59—21no—
740D4×C59—42no—
741D4×C59—42no—
742D4×C59—42no—
743D4×C59—42no—
744D4×C59—81no—
745D4×C59C2×#4112yescomplemented
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—42no—
756C2×C4×C59—42no—
757C2×C4×C59—42no—
758C2×C4×C59—42no—
759C2×C4×C59—81no—
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C2511yescharacteristic
765C22⋊D59—22no—
766C22⋊D59—42no—
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C22⋊D59—42no—
771C22⋊D59—42no—
772C22⋊D59—42no—
773C22⋊D59—42no—
774C22⋊D59—42no—
775C22⋊D59—81no—
776C22⋊D59—81no—
777C22⋊D59—81no—
778C22⋊D59—81no—
779C22⋊D59AGL(1,ℤ/8)14yescomplemented
780C2×Dic59—22no—
781C2×Dic59—22no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—41no—
787C2×Dic59—41no—
788C2×Dic59—42no—
789C2×Dic59—42no—
790C2×Dic59—42no—
791C2×Dic59—42no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59—81no—
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799C2×Dic59C22×D411yescharacteristic
800C2×Dic59C22×D411yescharacteristic
801C2×Dic59C22×D411yescharacteristic
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—21no—
807D236—21no—
808D236—21no—
809D236—42no—
810D236—42no—
811D236—42no—
812D236—42no—
813D236—42no—
814D236—81no—
815D236C2×#4112yes—
816C4×D59—22no—
817C4×D59—21no—
818C4×D59—21no—
819C4×D59—41no—
820C4×D59—42no—
821C4×D59—42no—
822C4×D59—42no—
823C4×D59—42no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—81no—
831C4×D59—81no—
832Dic118—22no—
833Dic118—42no—
834Dic118—42no—
835Dic118—81no—
836C8×C59—21no—
837C8×C59—21no—
838C8×C59—21no—
839C8×C59—21no—
840C59⋊C8—21no—
841C59⋊C8—21no—
842C59⋊C8—21no—
843C59⋊C8C2×#4112yescomplemented
844#61451—591nomaximal, Sylow
845C22×C59—21no—
846C22×C59—21no—
847C22×C59—21no—
848C22×C59—22no—
849C22×C59—21no—
850C22×C59—21no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59—84no—
860C22×C59C2×AGL(1,ℤ/8)12yes—
861C22×C59C23×D411yescharacteristic
862C2×D59—21no—
863C2×D59—21no—
864C2×D59—22no—
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—41no—
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×C59C22×#4111yescharacteristic
891C4×C59#58511yescharacteristic
892Dic59—21no—
893Dic59—21no—
894Dic59—21no—
895Dic59—21no—
896Dic59—21no—
897Dic59—21no—
898Dic59—41no—
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#3345—591no—
911#3335—591no—
912#3318—591no—
913#3318—591no—
914#3306—591no—
915#3306D5911yescharacteristic, complemented
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—42no—
937C2×C59—81no—
938C2×C59—81no—
939C2×C59D4×#4111yescharacteristic
940C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
941C2×C59#358511yescharacteristic
942D59—22no—
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—591no—
956#553—1181no—
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—1181no—
967#546—1181no—
968#546—1181no—
969#546—1181no—
970#546C2×D5911yescharacteristic, complemented
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#501—591no—
997#498—591no—
998#496—591no—
999#496—591no—
1000#493—591no—
1001#490—591no—
1002#490—591no—
1003#489—591no—
1004#489C2×D5911yescharacteristic, complemented
1005#486—591no—
1006#486—591no—
1007#483—591no—
1008#483C2×D5911yescharacteristic, complemented
1009#482—591no—
1010#482—591no—
1011#481—591no—
1012#481—591no—
1013#481—591no—
1014#481—591no—
1015#481—591no—
1016#481C2×D5911yescharacteristic, complemented
1017#480—591no—
1018#480—591no—
1019#478—591no—
1020#478—591no—
1021#478—591no—
1022#478—591no—
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#466—591no—
1039#465—591no—
1040#465—591no—
1041#465—591no—
1042#465C2×D5911yescharacteristic, complemented
1043#463—591no—
1044#463—591no—
1045#463—591no—
1046#463C2×D5911yescharacteristic, complemented
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#449C2×D5911yescharacteristic, complemented
1059#447—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#447—591no—
1066#447C2×D5911yescharacteristic, complemented
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#428—591no—
1107C2×#106—591no—
1108C2×#106—591no—
1109#418—591no—
1110#417C2×D5911yescharacteristic, complemented
1111C2×#102—591no—
1112C2×#102—591no—
1113C2×#102—591no—
1114C2×#102C2×D5911yescharacteristic, complemented
1115C4×M16—591no—
1116C2×#97—591no—
1117C2×#97—591no—
1118C59#6145111yescharacteristic, complemented, Sylow
1119C2×#41—21no—
1120C2×#41—591no—
1121C2×#41—1181no—
1122C2×#41—1181no—
1123C2×#41—1181no—
1124C2×#41—1181no—
1125C2×#41—1181no—
1126C2×#41—1181no—
1127C2×#41—1181no—
1128C2×#41—2368no—
1129C2×#41C22×D5911yescharacteristic
1130C22×Q8—1181no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—1181no—
1136C22×D4—1181no—
1137C22×D4—1181no—
1138C22×D4—1181no—
1139C22×D4C22×D5911yescharacteristic
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×SD16C22×D5911yescharacteristic
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—1184no—
1161C2×D8—1184no—
1162C2×D8C22×D5911yescharacteristic
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—1181no—
1179#126—1181no—
1180#126—1181no—
1181#126—1181no—
1182#125—591no—
1183#125—591no—
1184#125—1181no—
1185#124—591no—
1186#124—1181no—
1187#124—1181no—
1188#124—1181no—
1189#124—1181no—
1190#124—1181no—
1191#124C22×D5911yescharacteristic
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—1181no—
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⋊Q8C22×D5911yescharacteristic
1219#121—21no—
1220#121—591no—
1221#121—591no—
1222#121—591no—
1223#121—591no—
1224#121—591no—
1225#121—591no—
1226#121—591no—
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#121—1181no—
1241#121C22×D5911yescharacteristic
1242#121C22×D5911yescharacteristic
1243#121C22×D5911yescharacteristic
1244#120—21no—
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—591no—
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—1181no—
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—591no—
1308#117—1181no—
1309#117—1181no—
1310#117—1181no—
1311C2×C4⋊C4—591no—
1312C2×C4⋊C4—591no—
1313C2×C4⋊C4—591no—
1314C2×C4⋊C4—1181no—
1315C2×C4⋊C4C22×D5911yescharacteristic
1316C2×C4⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4—21no—
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#107—591no—
1330#107—591no—
1331#107—591no—
1332#106—591no—
1333#106—591no—
1334#106—591no—
1335#106—591no—
1336#106—591no—
1337#106—591no—
1338#106—591no—
1339#106—591no—
1340#106—591no—
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#103C22×D5911yescharacteristic
1352#103C22×D5911yescharacteristic
1353#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
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—21no—
1399C24—1181no—
1400C24—1181no—
1401C24—1181no—
1402C24—1181no—
1403#41—22no—
1404#41—41no—
1405#41—44no—
1406#41—1184no—
1407#41—4722no—
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—1181no—
1417C2×Q8—1181no—
1418C2×Q8—1181no—
1419C2×Q8—2364no—
1420C2×Q8C23×D5911yescharacteristic
1421C2×D4—22no—
1422C2×D4—21no—
1423C2×D4—21no—
1424C2×D4—21no—
1425C2×D4—21no—
1426C2×D4—21no—
1427C2×D4—41no—
1428C2×D4—591no—
1429C2×D4—591no—
1430C2×D4—591no—
1431C2×D4—591no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—1182no—
1435C2×D4—1182no—
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—2364no—
1462C2×D4—2364no—
1463C2×D4—2364no—
1464C2×D4—2364no—
1465C2×D4D4×D5911yescharacteristic
1466C2×D4C23×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—41no—
1508SD16—1182no—
1509SD16—1182no—
1510SD16—2361no—
1511D8—22no—
1512D8—41no—
1513D8—594no—
1514D8—1182no—
1515D8—1182no—
1516D8—1182no—
1517D8—1182no—
1518D8—1182no—
1519D8—1182no—
1520D8—2361no—
1521D8—2361no—
1522D8—2361no—
1523M16—41no—
1524M16—1182no—
1525C2×C8—41no—
1526C2×C8—591no—
1527C2×C8—591no—
1528C2×C8—591no—
1529C2×C8—591no—
1530C2×C8—1182no—
1531C2×C8—1182no—
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—591no—
1542C4⋊C4—591no—
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⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4D4×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—21no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
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—591no—
1610C42—591no—
1611C42—591no—
1612C42—591no—
1613C42—591no—
1614C42—591no—
1615C42—591no—
1616C42—591no—
1617C42—591no—
1618C42—1181no—
1619C42—1181no—
1620C42—1181no—
1621C42C23×D5911yescharacteristic
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—42no—
1626C23—42no—
1627C23—81no—
1628C23—591no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—2362no—
1638C23—2362no—
1639C23—2362no—
1640C23—2362no—
1641C23—2362no—
1642C23—2362no—
1643C23—2362no—
1644C23—2362no—
1645C23C2×D4×D5911yescharacteristic
1646C23C2×D4×D5911yescharacteristic
1647Q8—21no—
1648Q8—21no—
1649Q8—42no—
1650Q8—1182no—
1651Q8—4721no—
1652Q8—2362no—
1653Q8—2362no—
1654D4—22no—
1655D4—21no—
1656D4—21no—
1657D4—21no—
1658D4—21no—
1659D4—21no—
1660D4—42no—
1661D4—42no—
1662D4—42no—
1663D4—42no—
1664D4—81no—
1665D4—594no—
1666D4—592no—
1667D4—1182no—
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#41×D5912yescomplemented
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—42no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—42no—
1708C2×C4—81no—
1709C2×C4—591no—
1710C2×C4—591no—
1711C2×C4—591no—
1712C2×C4—591no—
1713C2×C4—591no—
1714C2×C4—591no—
1715C2×C4—591no—
1716C2×C4—1182no—
1717C2×C4—1182no—
1718C2×C4—1182no—
1719C2×C4—1181no—
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—4721no—
1730C2×C4—2361no—
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—2361no—
1743C2×C4—2361no—
1744C2×C4—2362no—
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—21no—
1756C8—592no—
1757C8—1181no—
1758C8—1181no—
1759C8—1181no—
1760C22—21no—
1761C22—21no—
1762C22—21no—
1763C22—21no—
1764C22—22no—
1765C22—21no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—41no—
1774C22—84no—
1775C22—592no—
1776C22—1181no—
1777C22—1181no—
1778C22—1182no—
1779C22—4724no—
1780C22—4724no—
1781C22—4724no—
1782C22—4724no—
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—592no—
1806C4—1181no—
1807C4—1181no—
1808C4—1181no—
1809C4—1181no—
1810C4—1181no—
1811C4—1181no—
1812C4—2361no—
1813C4—2361no—
1814C4—2361no—
1815C4—2361no—
1816C4C2×#41×D5911yescharacteristic
1817C4#1683823711yescharacteristic
1818C2—22no—
1819C2—41no—
1820C2—42no—
1821C2—81no—
1822C2—81no—
1823C2—1182no—
1824C2—4721no—
1825C2—4721no—
1826C2—4721no—
1827C2—2362no—
1828C2#2143758011yescharacteristic
1829C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1830C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3306C2
socleC22×C59C23×D4
hypercenter#3306D59
hypocenterC59#61451
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21437701C2semidirect
2. #21437583C2semidirect
3. #21437133C2semidirect
4. #21436990C2semidirect
5. #21436885C2semidirect
6. #21436804C2semidirect
7. #21436566C2semidirect
8. #21436559C2semidirect
9. #21436446C2semidirect
10. #21436239C2semidirect
11. #21436232C2semidirect
12. #21436058C2semidirect
13. #21435915C2semidirect
14. #21435905C2semidirect
15. #21435766C2semidirect
16. #21435579C2semidirect
17. #21435577C2semidirect
18. #21434829C2semidirect
19. #21434797C2semidirect
20. #21434787C2semidirect
21. #21434240C2semidirect
22. #21434237C2semidirect
23. #21434233C2semidirect
24. #21434189C2semidirect
25. #21434184C2semidirect
26. #21434182C2semidirect
27. #21433106C2semidirect
28. #21432909C2semidirect
29. C2×#16837511C2semidirect
30. #442×D59C2semidirect
31. C59×#3306C2semidirect
36. #16838134C22semidirect
37. #16838111C22semidirect
38. #16838110C22semidirect
39. #16838099C22semidirect
40. #16838098C22semidirect
44. #16838073C22semidirect
45. #16838067C22semidirect
48. #16838053C22semidirect
52. #16838040C22semidirect
54. D4×D236C22semidirect
56. #16838036C22semidirect
57. D4×C22⋊D59C22semidirect
58. #16837953C22semidirect
59. #16837947C22semidirect
60. #16837947C22semidirect
61. #16837947C22semidirect
62. #16837938C22semidirect
63. #16837931C22semidirect
70. #41×Dic59C22semidirect
72. C2×D4×Dic59C22semidirect
73. C2×#14273689C22semidirect
74. C2×#14273689C22semidirect
76. C4×D4×D59C22semidirect
77. C4×D4×D59C22semidirect
78. #16837809C22semidirect
79. #16837808C22semidirect
80. #16837799C22semidirect
81. #16837792C22semidirect
82. #16837788C22semidirect
83. #16837777C22semidirect
84. #16837767C22semidirect
85. #16837765C22semidirect
86. #16837763C22semidirect
87. #16837747C22semidirect
88. #16837747C22semidirect
89. #16837731C22semidirect
90. #16837727C22semidirect
91. #16837723C22semidirect
92. #16837722C22semidirect
93. #16837722C22semidirect
94. #16837721C22semidirect
95. #16837720C22semidirect
96. #16837718C22semidirect
97. #16837715C22semidirect
98. #16837714C22semidirect
99. #16837703C22semidirect
100. #16837702C22semidirect
101. #16837701C22semidirect
102. #16837701C22semidirect
103. #16837691C22semidirect
104. #16837691C22semidirect
105. #16837690C22semidirect
106. #16837690C22semidirect
107. #16837689C22semidirect
108. #16837685C22semidirect
109. #16837680C22semidirect
110. #16837655C22semidirect
111. #16837653C22semidirect
112. #16837653C22semidirect
113. #16837638C22semidirect
114. #16837637C22semidirect
115. #16837637C22semidirect
116. #16837636C22semidirect
117. #16837634C22semidirect
118. #16837634C22semidirect
119. #16837633C22semidirect
120. #16837620C22semidirect
121. #16837620C22semidirect
122. #16837614C22semidirect
123. #16837600C22semidirect
124. #16837598C22semidirect
125. #16837597C22semidirect
127. #16837596C22semidirect
128. #16837595C22semidirect
129. #16837595C22semidirect
130. #16837595C22semidirect
131. #16837552C22semidirect
132. #16837551C22semidirect
133. #16837547C22semidirect
135. #16837538C22semidirect
136. #16837537C22semidirect
137. #16837537C22semidirect
138. #16837536C22semidirect
139. #16837535C22semidirect
141. #16837531C22semidirect
142. #16837530C22semidirect
143. #16837515C22semidirect
144. #16837514C22semidirect
145. #16837514C22semidirect
146. #16837513C22semidirect
147. #16837513C22semidirect
148. #16837513C22semidirect
150. #16837512C22semidirect
153. #16837511C22semidirect
154. #16837511C22semidirect
155. #16837511C22semidirect
156. #16837511C22semidirect
157. #16837511C22semidirect
158. #16837511C22semidirect
159. #16837511C22semidirect
160. #16837511C22semidirect
161. #16837511C22semidirect
162. #16837505C22semidirect
163. #16837505C22semidirect
164. #16837505C22semidirect
165. #16837503C22semidirect
166. #16837487C22semidirect
167. #16837487C22semidirect
169. #16837482C22semidirect
170. #16837476C22semidirect
171. #16837474C22semidirect
172. #16837471C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837458C22semidirect
176. #16837456C22semidirect
177. #16837456C22semidirect
178. #16837442C22semidirect
179. C2×#14273658C22semidirect
180. #106×D59C22semidirect
181. #16837408C22semidirect
182. C2×#14273649C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. M16×Dic59C22semidirect
186. C2×#14273637C22semidirect
187. #97×D59C22semidirect
188. C59×#547C22semidirect
189. C59×#546C22semidirect
190. C59×#489C22semidirect
191. C59×#483C22semidirect
192. C59×#481C22semidirect
193. C59×#476C22semidirect
194. C59×#469C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
639. #11745669#41semidirect
745. D4×C59C2×#41semidirect
779. C22⋊D59AGL(1,ℤ/8)semidirect
843. C59⋊C8C2×#41semidirect
915. #3306D59semidirect
964. #547C2×D59semidirect
970. #546C2×D59semidirect
1004. #489C2×D59semidirect
1008. #483C2×D59semidirect
1016. #481C2×D59semidirect
1028. #476C2×D59semidirect
1034. #469C2×D59semidirect
1042. #465C2×D59semidirect
1046. #463C2×D59semidirect
1058. #449C2×D59semidirect
1066. #447C2×D59semidirect
1088. #442C2×D59semidirect
1100. #435C2×D59semidirect
1110. #417C2×D59semidirect
1114. C2×#102C2×D59semidirect
1118. C59#61451semidirect
1694. D4#41×D59semidirect

Maximal subgroups

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

subgroupindex
#214377012
#214375832
#214371332
#214369902
#214368852
#214368042
#214365662
#214365592
#214364462
#214362392
#214362322
#214360582
#214359152
#214359052
#214357662
#214355792
#214355772
#214348292
#214347972
#214347872
#214342402
#214342372
#214342332
#214341892
#214341842
#214341822
#214331062
#214329092
C2×#168375112
#442×D592
C59×#33062
#6145159