Finite Group Databasebeta

← #29475642

Subgroups — #29475642

Order 15104.

2160 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438514C211yesmaximal, characteristic, complemented
2#21437871C211yesmaximal, characteristic, complemented
3#21436243C211yesmaximal, characteristic, complemented
4#21436235C211yesmaximal, characteristic, complemented
5#21436225C211yesmaximal, characteristic, complemented
6#21436217C211yesmaximal, characteristic, complemented
7#21436123C211yesmaximal, characteristic, complemented
8#21436115C211yesmaximal, characteristic, complemented
9#21436105C211yesmaximal, characteristic, complemented
10#21436097C211yesmaximal, characteristic, complemented
11#21435678C211yesmaximal, characteristic, complemented
12#21435674C211yesmaximal, characteristic, complemented
13#21435640C211yesmaximal, characteristic, complemented
14#21435633C211yesmaximal, characteristic, complemented
15#21435598C211yesmaximal, characteristic, complemented
16#21435594C211yesmaximal, characteristic, complemented
17#21435583C211yesmaximal, characteristic, complemented
18#21435579C211yesmaximal, characteristic, complemented
19#21435117C211yesmaximal, characteristic, complemented
20#21435112C211yesmaximal, characteristic, complemented
21#21434967C211yesmaximal, characteristic, complemented
22#21434960C211yesmaximal, characteristic, complemented
23#21434948C211yesmaximal, characteristic, complemented
24#21434208C211yesmaximal, characteristic, complemented
25#21434200C211yesmaximal, characteristic, complemented
26#21433403C211yesmaximal, characteristic, complemented
27#21433397C211yesmaximal, characteristic, complemented
28#21433368C211yesmaximal, characteristic, complemented
29#21433359C211yesmaximal, characteristic, complemented
30#21433165C211yesmaximal, characteristic, complemented
31C59×#3198C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic, complemented
33C2×#14273772C2211yescharacteristic
34C2×#14273756C2211yescharacteristic, complemented
35C2×#14273755C2211yescharacteristic, complemented
36C2×#14273752C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C2×#14273749C2211yescharacteristic, complemented
39C2×#14273747C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838153—21no—
43#16838140—21no—
44#16838116—21no—
45#16838104C2211yescharacteristic, complemented
46#16838100C2211yescharacteristic, complemented
47#16838094C2211yescharacteristic, complemented
48#16838087C2211yescharacteristic, complemented
49#16838079—21no—
50#16838070C2211yescharacteristic
51#16838070C2211yescharacteristic
52#16838070C2211yescharacteristic, complemented
53#16838070C2211yescharacteristic, complemented
54#16838062C2211yescharacteristic, complemented
55#16838059C2211yescharacteristic, complemented
56#16838049C2211yescharacteristic, complemented
57#16838040C2211yescharacteristic, complemented
58#16838036C2211yescharacteristic
59#16838036C2211yescharacteristic
60#16838036C2211yescharacteristic, complemented
61#16838036C2211yescharacteristic, complemented
62#16838034—21no—
63#16838034—21no—
64#16838034—21no—
65#16838034—21no—
66#16838005—21no—
67#16838002—21no—
68#16837989—21no—
69#16837984—21no—
70#16837980C2211yescharacteristic, complemented
71#16837975C2211yescharacteristic, complemented
72#16837971C2211yescharacteristic
73#16837970—21no—
74#16837968C2211yescharacteristic, complemented
75#16837965—21no—
76#16837951—21no—
77#16837948C2211yescharacteristic
78C2×#14273723C2211yescharacteristic, complemented
79#127×D59—21no—
80#16837938C2211yescharacteristic, complemented
81#16837933C2211yescharacteristic, complemented
82#16837870C2211yescharacteristic, complemented
83#16837790C2211yescharacteristic, complemented
84#16837790C2211yescharacteristic, complemented
85#16837788C2211yescharacteristic, complemented
86#16837788C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837765C2211yescharacteristic, complemented
89#16837765C2211yescharacteristic, complemented
90#16837765C2211yescharacteristic, complemented
91#16837743C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837726C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837713C2211yescharacteristic, complemented
99#16837712C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837705C2211yescharacteristic, complemented
102#16837701C2211yescharacteristic, complemented
103#16837656C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837639C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837636C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837623C2211yescharacteristic, complemented
117#16837620C2211yescharacteristic, complemented
118#16837616C2211yescharacteristic, complemented
119#16837601C2211yescharacteristic, complemented
120#16837601C2211yescharacteristic, complemented
121#16837600C2211yescharacteristic, complemented
122#16837600C2211yescharacteristic, complemented
123#16837596C2211yescharacteristic, complemented
124#16837596C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837566C2211yescharacteristic, complemented
128#16837566C2211yescharacteristic, complemented
129#16837565C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837562C2211yescharacteristic, complemented
132#16837561C2211yescharacteristic, complemented
133#16837555C2211yescharacteristic, complemented
134#16837555C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837552C2211yescharacteristic, complemented
138#16837552C2211yescharacteristic, complemented
139#16837551C2211yescharacteristic, complemented
140#16837549C2211yescharacteristic
141#16837549C2211yescharacteristic, complemented
142#16837548C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic
144#16837545C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic, complemented
146#16837545C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837542C2211yescharacteristic, complemented
149#16837542C2211yescharacteristic, complemented
150#16837538C2211yescharacteristic, complemented
151#16837538C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic, complemented
153#16837537C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837535C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837508C2211yescharacteristic, complemented
162#16837506C2211yescharacteristic, complemented
163#16837505C2211yescharacteristic, complemented
164#16837501C2211yescharacteristic, complemented
165#16837501C2211yescharacteristic, complemented
166#16837499C2211yescharacteristic, complemented
167#16837476C2211yescharacteristic, complemented
168#16837476C2211yescharacteristic, complemented
169#16837473C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837471C2211yescharacteristic, complemented
173#16837470C2211yescharacteristic, complemented
174#16837470C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837456C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837404C2211yescharacteristic, complemented
180#16837401C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183C2×#14273649C2211yescharacteristic, complemented
184C2×#14273647C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic, complemented
189C59×#535C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#482C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#480C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#466C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273772—42no—
206#14273772—42no—
207C2×#11745689—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C22×D236C2311yescharacteristic
218C22×D236C2311yescharacteristic
219C22×D236C2311yescharacteristic
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59—21no—
230C2×D4×D59—21no—
231C2×D4×D59—21no—
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C2×D4×D59C2311yescharacteristic
235#14273756—42no—
236#14273755—42no—
237#14273752—42no—
238#14273751—42no—
239#14273749—42no—
240#14273747—42no—
241C2×Dic236C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745670C2311yescharacteristic
248C2×#11745670C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745671C2311yescharacteristic
251C2×#11745671C2311yescharacteristic
252C2×#11745671C2311yescharacteristic
253SD16×D59—42no—
254C2×D472C2311yescharacteristic
255C2×D472C2311yescharacteristic
256C2×D472C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262D8×D59—42no—
263C2×#11745664C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C22×C59⋊C8C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268C2×C8×D59C2311yescharacteristic
269#14273726—21no—
270#14273725D411yescharacteristic
271#14273724—21no—
272#14273723—21no—
273#14273723—21no—
274#14273723—21no—
275#14273723—21no—
276#14273723—21no—
277#14273723—21no—
278#14273723—21no—
279#14273723D411yescharacteristic
280#14273723C2311yescharacteristic
281#14273723C2311yescharacteristic
282#14273723C2311yescharacteristic
283#14273723C2311yescharacteristic
284#14273722—21no—
285#14273722—21no—
286#14273722—21no—
287#14273722—21no—
288#14273720—21no—
289#14273720—21no—
290#14273718—21no—
291#14273718C2311yescharacteristic
292#14273718C2311yescharacteristic
293#14273717—21no—
294#14273716D411yescharacteristic
295#14273716C2311yescharacteristic
296#14273715—21no—
297#14273714—21no—
298#14273714D411yescharacteristic
299#14273714C2311yescharacteristic
300#14273713—21no—
301#14273713—21no—
302#14273713—21no—
303#14273712—21no—
304#14273712—21no—
305#14273711—21no—
306#14273711—21no—
307#14273711—21no—
308#14273710—21no—
309#14273710—21no—
310#14273709—21no—
311#14273709—21no—
312#14273708—21no—
313#14273707C2311yescharacteristic
314#14273706—21no—
315#14273706C2311yescharacteristic
316#14273706C2311yescharacteristic
317#14273705—21no—
318#14273703—21no—
319#14273703C2311yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273701—21no—
326#14273701C2311yescharacteristic
327#14273701C2311yescharacteristic
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273700—21no—
334#14273700—21no—
335#14273700—21no—
336#14273700—21no—
337#14273699—21no—
338#14273699—21no—
339#14273699—21no—
340#14273699—21no—
341#14273699—21no—
342#14273699—21no—
343#14273699—21no—
344#14273699—21no—
345#14273699D411yescharacteristic
346#14273699D411yescharacteristic
347#14273699D411yescharacteristic
348#14273699D411yescharacteristic
349#14273698—21no—
350#14273698—21no—
351#14273698—21no—
352#14273698C2311yescharacteristic
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366#14273695—21no—
367Q8×Dic59C2311yescharacteristic
368#14273692C2311yescharacteristic
369#14273692C2311yescharacteristic
370#14273692C2311yescharacteristic
371D4×Dic59—21no—
372D4×Dic59—21no—
373D4×Dic59C2311yescharacteristic
374#14273689—21no—
375#14273689C2311yescharacteristic
376#14273689C2311yescharacteristic
377#14273689C2311yescharacteristic
378C4×C22⋊D59—21no—
379C4×C22⋊D59—21no—
380C4×C22⋊D59C2311yescharacteristic
381C4×C22⋊D59C2311yescharacteristic
382C4×C22⋊D59C2311yescharacteristic
383C4×C22⋊D59C2311yescharacteristic
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388(C22⋊D59)⋊C4—21no—
389(C22⋊D59)⋊C4—21no—
390(C22⋊D59)⋊C4—21no—
391#14273686—21no—
392#14273685—21no—
393#14273685C2311yescharacteristic
394#14273685C2311yescharacteristic
395#14273684—21no—
396#14273683—21no—
397#14273683—21no—
398C2×C4⋊Dic59C2311yescharacteristic
399C2×(C2×D59)⋊C4—21no—
400C22⋊C4×D59—21no—
401C2×C4×Dic59C2311yescharacteristic
402C42×D59—21no—
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443#14273637C2311yescharacteristic
444#14273637C2311yescharacteristic
445#14273637C2311yescharacteristic
446#14273637C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×D8×C59C2311yescharacteristic
453C2×D8×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456#127×C59—21no—
457#124×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461#121×C59—21no—
462#121×C59—21no—
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#121×C59C2311yescharacteristic
466#121×C59C2311yescharacteristic
467#121×C59C2311yescharacteristic
468#121×C59C2311yescharacteristic
469#121×C59C2311yescharacteristic
470#120×C59—21no—
471#120×C59—21no—
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497#41×C59—41no—
498#41×C59—41no—
499#41×C59—41no—
500#41×C59—41no—
501C2×Q8×C59C2×D411yescharacteristic
502C2×Q8×C59C2411yescharacteristic
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—41no—
512C2×D4×C59—41no—
513C2×D4×C59C2×D411yescharacteristic
514C2×D4×C59C2×D411yescharacteristic
515C2×D4×C59C2×D411yescharacteristic
516C2×D4×C59C2411yescharacteristic
517C2×D4×C59C2411yescharacteristic
518C2×D4×C59C2411yescharacteristic
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C22×C4×C59C2411yescharacteristic
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—44no—
545C2×C22⋊D59—44no—
546C2×C22⋊D59—82no—
547C2×C22⋊D59—82no—
548C2×C22⋊D59C2×D411yescharacteristic
549C2×C22⋊D59C2×D411yescharacteristic
550C2×C22⋊D59C2×D411yescharacteristic
551C2×C22⋊D59C2×D411yescharacteristic
552C2×C22⋊D59C2×D411yescharacteristic
553C2×C22⋊D59C2×D411yescharacteristic
554C22×Dic59—21no—
555C22×Dic59—21no—
556C22×Dic59—21no—
557C22×Dic59—21no—
558C22×Dic59C2×D411yescharacteristic
559C22×Dic59C2×D411yescharacteristic
560#11745689—44no—
561Q8×D59—41no—
562Q8×D59—41no—
563#11745687—22no—
564#11745687—22no—
565#11745687—41no—
566#11745687—41no—
567#11745687—44no—
568D4×D59—22no—
569D4×D59—22no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—41no—
574D4×D59—44no—
575D4×D59—44no—
576D4×D59—44no—
577D4×D59—44no—
578D4×D59—82no—
579D4×D59—82no—
580D4×D59—82no—
581D4×D59—82no—
582#11745685—22no—
583#11745685—22no—
584#11745685—22no—
585#11745685—22no—
586#11745685—41no—
587#11745685—41no—
588#11745685—41no—
589#11745685—41no—
590#11745685—41no—
591#11745685—41no—
592C2×D236—22no—
593C2×D236—22no—
594C2×D236—21no—
595C2×D236—21no—
596C2×D236—21no—
597C2×D236—21no—
598C2×D236—21no—
599C2×D236—21no—
600C2×D236—21no—
601C2×D236—21no—
602C2×D236—41no—
603C2×D236—41no—
604C2×D236—41no—
605C2×D236—41no—
606C2×D236C2×D411yescharacteristic
607C2×D236C2411yescharacteristic
608C2×D236C2411yescharacteristic
609C2×D236C2411yescharacteristic
610C2×D236C2411yescharacteristic
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—21no—
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59C2411yescharacteristic
620C2×C4×D59C2411yescharacteristic
621C2×Dic118—21no—
622C2×Dic118C2×D411yescharacteristic
623C2×Dic118C2411yescharacteristic
624C2×Dic118C2411yescharacteristic
625SD16×C59—41no—
626SD16×C59—41no—
627D8×C59—41no—
628D8×C59—41no—
629M16×C59—41no—
630C2×C8×C59—41no—
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C2×C8×C59C2411yescharacteristic
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59—21no—
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C4⋊C4×C59C2411yescharacteristic
641C4⋊C4×C59C2411yescharacteristic
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59—21no—
650C22⋊C4×C59—21no—
651C42×C59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59C2×D411yescharacteristic
659C22⋊Dic59C2×D411yescharacteristic
660C22⋊Dic59C2×D411yescharacteristic
661C22⋊Dic59C2×D411yescharacteristic
662#11745672—22no—
663#11745671—22no—
664#11745671—41no—
665#11745671—41no—
666#11745670—22no—
667#11745670—41no—
668#11745670—41no—
669#11745669—22no—
670#11745669—41no—
671#11745669—41no—
672#11745669—41no—
673#11745669—41no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4C2×D411yescharacteristic
691(C2×D59)⋊C4C2×D411yescharacteristic
692(C2×D59)⋊C4C2×D411yescharacteristic
693(C2×D59)⋊C4C2×D411yescharacteristic
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59—21no—
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59C2411yescharacteristic
700C4⋊Dic59C2411yescharacteristic
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712Dic59⋊C4C2×D411yescharacteristic
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59C2×D411yescharacteristic
720C4×Dic59C2×D411yescharacteristic
721C4×Dic59C2411yescharacteristic
722C4×Dic59C2411yescharacteristic
723#11745664—41no—
724C2×C59⋊C8—41no—
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729Dic236—22no—
730D472—22no—
731D472—41no—
732D472—41no—
733#11745660—22no—
734#11745660—22no—
735#11745660—41no—
736#11745660—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—42no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—42no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—81no—
760C22×D59—81no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59—81no—
764C22×D59—81no—
765C22×D59—81no—
766C22×D59—81no—
767C22×D59—81no—
768C22×D59—81no—
769C22×D59—81no—
770C22×D59—81no—
771C22×D59—81no—
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—41no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—41no—
784D4×C59—41no—
785D4×C59—41no—
786D4×C59—42no—
787D4×C59—81no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59—81no—
791D4×C59—81no—
792D4×C59—81no—
793D4×C59—81no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—81no—
806C2×C4×C59—81no—
807C2×C4×C59C22×D411yescharacteristic
808C2×C4×C59C22×D411yescharacteristic
809C2×C4×C59C22×D411yescharacteristic
810C2×C4×C59C2511yescharacteristic
811C22⋊D59—24no—
812C22⋊D59—41no—
813C22⋊D59—41no—
814C22⋊D59—41no—
815C22⋊D59—41no—
816C22⋊D59—41no—
817C22⋊D59—41no—
818C22⋊D59—42no—
819C22⋊D59—42no—
820C22⋊D59—42no—
821C22⋊D59—42no—
822C22⋊D59—42no—
823C22⋊D59—42no—
824C22⋊D59—42no—
825C22⋊D59—42no—
826C22⋊D59—42no—
827C22⋊D59—42no—
828C22⋊D59—81no—
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C22⋊D59—81no—
835C22⋊D59—81no—
836C22⋊D59—81no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—41no—
842C2×Dic59—41no—
843C2×Dic59—42no—
844C2×Dic59—42no—
845C2×Dic59—81no—
846C2×Dic59—81no—
847C2×Dic59C22×D411yescharacteristic
848C2×Dic59C22×D411yescharacteristic
849C2×Dic59C22×D411yescharacteristic
850C2×Dic59C22×D411yescharacteristic
851C2×Dic59C22×D411yescharacteristic
852C2×Dic59C22×D411yescharacteristic
853D236—21no—
854D236—21no—
855D236—21no—
856D236—21no—
857D236—21no—
858D236—21no—
859D236—21no—
860D236—41no—
861D236—42no—
862D236—42no—
863D236—42no—
864D236—81no—
865D236—81no—
866D236—81no—
867D236—81no—
868D236—81no—
869D236H(5,𝔽2)12yes—
870C4×D59—24no—
871C4×D59—21no—
872C4×D59—21no—
873C4×D59—21no—
874C4×D59—21no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—42no—
878C4×D59—42no—
879C4×D59—81no—
880C4×D59—81no—
881C4×D59—81no—
882Dic118—21no—
883Dic118—21no—
884Dic118—21no—
885Dic118—41no—
886Dic118—81no—
887Dic118H(5,𝔽2)12yes—
888C8×C59—21no—
889C8×C59—21no—
890C8×C59—21no—
891C8×C59—21no—
892C59⋊C8—21no—
893C59⋊C8—21no—
894C59⋊C8—21no—
895C59⋊C8—21no—
896#61675—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—21no—
901C22×C59—21no—
902C22×C59—21no—
903C22×C59—21no—
904C22×C59—21no—
905C22×C59—21no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—162no—
916C22×C59C23×D411yescharacteristic
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—22no—
923C2×D59—21no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C2×D59—41no—
935C2×D59—162no—
936C2×D59—162no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—41no—
945C4×C59—41no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59C2×H(5,𝔽2)11yescharacteristic
950C4×C59C2×H(5,𝔽2)11yescharacteristic
951Dic59—21no—
952Dic59—21no—
953Dic59—21no—
954Dic59—21no—
955Dic59—22no—
956Dic59—21no—
957Dic59—21no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3551—591no—
962#3498—591no—
963#3318—591no—
964#3318—591no—
965#3317—591no—
966#3317—591no—
967#3310—591no—
968#3310—591no—
969#3309—591no—
970#3309—591no—
971#3271—591no—
972#3271—591no—
973#3268—591no—
974#3268—591no—
975#3265—591no—
976#3265—591no—
977#3264—591no—
978#3264—591no—
979#3217—591no—
980#3217—591no—
981#3200—591no—
982#3199—591no—
983#3198—591no—
984#3198D5911yescharacteristic, complemented
985#3111—591no—
986#3111—591no—
987#3012—591no—
988#3012—591no—
989#3009—591no—
990#3008—591no—
991#2980—591no—
992C2×C59—41no—
993C2×C59—41no—
994C2×C59—41no—
995C2×C59—81no—
996C2×C59—81no—
997C2×C59—81no—
998C2×C59#348411yescharacteristic
999C2×C59#358511yescharacteristic
1000C2×C59#358511yescharacteristic
1001D59—41no—
1002D59—41no—
1003D59—42no—
1004D59—81no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C2×H(5,𝔽2)—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×#135—591no—
1014C2×#135—591no—
1015C22×SD16—591no—
1016C22×D8—591no—
1017#563—1181no—
1018#560—1181no—
1019#555—1181no—
1020#553—591no—
1021#553—591no—
1022#552—591no—
1023#552—591no—
1024#551—1181no—
1025#550—591no—
1026#550—591no—
1027#550—591no—
1028#550—591no—
1029#548—591no—
1030#548—591no—
1031#546—591no—
1032#546—591no—
1033D42—591no—
1034D42—591no—
1035D42—591no—
1036D42—591no—
1037D42—1181no—
1038D42—1181no—
1039D42—1181no—
1040D42—1181no—
1041#540—1181no—
1042#540—1181no—
1043#538—1181no—
1044#538—1181no—
1045#537—591no—
1046#537C2×D5911yescharacteristic, complemented
1047#536—591no—
1048#535—591no—
1049#535—591no—
1050#535—1181no—
1051#535—1181no—
1052#535C2×D5911yescharacteristic, complemented
1053#532—591no—
1054#532—1181no—
1055C2×#127—591no—
1056C2×#127—1181no—
1057#529—591no—
1058#529—591no—
1059C4×#41—591no—
1060#496—591no—
1061#496—591no—
1062#496—591no—
1063#496—591no—
1064#490—591no—
1065#490—591no—
1066#490—591no—
1067#490—591no—
1068#485—591no—
1069#485C2×D5911yescharacteristic, complemented
1070#482—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#482—591no—
1075#482C2×D5911yescharacteristic, complemented
1076#481—591no—
1077#481C2×D5911yescharacteristic, complemented
1078#480—591no—
1079#480C2×D5911yescharacteristic, complemented
1080#479—591no—
1081#479—591no—
1082#478—591no—
1083#478—591no—
1084#469—591no—
1085#469—591no—
1086#469—591no—
1087#469C2×D5911yescharacteristic, complemented
1088#468—591no—
1089#468—591no—
1090#468—591no—
1091#468C2×D5911yescharacteristic, complemented
1092#466—591no—
1093#466—591no—
1094#466—591no—
1095#466C2×D5911yescharacteristic, complemented
1096#465—591no—
1097#465—591no—
1098#465—591no—
1099#465C2×D5911yescharacteristic, complemented
1100#464—591no—
1101#464—591no—
1102#463—591no—
1103#463—591no—
1104#460—591no—
1105#460—591no—
1106#460—591no—
1107#460—591no—
1108#459—591no—
1109#459—591no—
1110#459—591no—
1111#459—591no—
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#452—591no—
1116#452—591no—
1117#452—591no—
1118#450—591no—
1119#450—591no—
1120#450—591no—
1121#450—591no—
1122#450—591no—
1123#450—591no—
1124#450—591no—
1125#450C2×D5911yescharacteristic, complemented
1126#449—591no—
1127#449—591no—
1128#449—591no—
1129#449—591no—
1130#449—591no—
1131#449—591no—
1132#449—591no—
1133#449—591no—
1134#449C2×D5911yescharacteristic, complemented
1135#449C2×D5911yescharacteristic, complemented
1136#448—591no—
1137#448—591no—
1138#447—591no—
1139#447—591no—
1140#447—591no—
1141#447—591no—
1142#447—591no—
1143#447—591no—
1144#447—591no—
1145#447—591no—
1146#447—591no—
1147#447C2×D5911yescharacteristic, complemented
1148#442—591no—
1149#442—591no—
1150#441—591no—
1151#441—591no—
1152#440—591no—
1153#440—591no—
1154#440—591no—
1155#440—591no—
1156#435—591no—
1157#435—591no—
1158#435—591no—
1159#435—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435—591no—
1164#432—591no—
1165#432—591no—
1166#418—591no—
1167#418—591no—
1168#417—591no—
1169#417—591no—
1170#416—591no—
1171#416—591no—
1172C2×#102—591no—
1173C2×#102—591no—
1174#408—591no—
1175#408—591no—
1176#408—591no—
1177#408C2×D5911yescharacteristic, complemented
1178C59#6167511yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181H(5,𝔽2)—2362no—
1182H(5,𝔽2)—2362no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—591no—
1190C2×#41—1181no—
1191C2×#41—1181no—
1192C2×#41C22×D5911yescharacteristic
1193C2×#41C22×D5911yescharacteristic
1194C22×Q8—591no—
1195C22×D4—591no—
1196C22×D4—591no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—1181no—
1202C22×D4—1181no—
1203C22×D4—1181no—
1204C22×D4—1181no—
1205C22×D4—1181no—
1206C22×D4—1181no—
1207C22×D4—1181no—
1208C22×D4—1181no—
1209C22×D4—1181no—
1210C22×D4—1181no—
1211C22×D4—1181no—
1212C22×D4—1181no—
1213C22×D4C22×D5911yescharacteristic
1214#137—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218#135—2362no—
1219#135—2362no—
1220C2×Q16—591no—
1221C2×Q16—591no—
1222C2×SD16—591no—
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16—591no—
1230C2×SD16—591no—
1231C2×SD16—591no—
1232C2×SD16—2362no—
1233C2×SD16C22×D5911yescharacteristic
1234C2×SD16C22×D5911yescharacteristic
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—591no—
1243C2×D8—2362no—
1244C2×D8C22×D5911yescharacteristic
1245C2×D8C22×D5911yescharacteristic
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16C22×D5911yescharacteristic
1250C22×C8—591no—
1251C22×C8—591no—
1252C22×C8—591no—
1253C22×C8C22×D5911yescharacteristic
1254C4⋊Q8—591no—
1255C4⋊Q8—1181no—
1256#127—21no—
1257#127—591no—
1258#127—591no—
1259#127—591no—
1260#127—591no—
1261#127—591no—
1262#127—1181no—
1263#127—1181no—
1264#127—1181no—
1265#127—1181no—
1266#127—1181no—
1267#127—1181no—
1268#127—1181no—
1269#127—1181no—
1270#126—1181no—
1271#126—1181no—
1272#126—1181no—
1273#126—1181no—
1274#126—1181no—
1275#126—1181no—
1276#125—591no—
1277#125—591no—
1278#125—1181no—
1279#125—1181no—
1280#124—21no—
1281#124—591no—
1282#124—591no—
1283#124—591no—
1284#124—591no—
1285#124—1181no—
1286#124—1181no—
1287#124—1181no—
1288#124—1181no—
1289#124—1181no—
1290#123—1181no—
1291#123—1181no—
1292#123—1181no—
1293#123—1181no—
1294#123—1181no—
1295#123—1181no—
1296#123—1181no—
1297#123—1181no—
1298#123—1181no—
1299#123—1181no—
1300C22⋊Q8—21no—
1301C22⋊Q8—591no—
1302C22⋊Q8—591no—
1303C22⋊Q8—591no—
1304C22⋊Q8—591no—
1305C22⋊Q8—1181no—
1306C22⋊Q8—1181no—
1307C22⋊Q8—1181no—
1308C22⋊Q8C22×D5911yescharacteristic
1309C22⋊Q8C22×D5911yescharacteristic
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—591no—
1314#121—591no—
1315#121—591no—
1316#121—591no—
1317#121—591no—
1318#121—591no—
1319#121—591no—
1320#121—591no—
1321#121—591no—
1322#121—591no—
1323#121—591no—
1324#121—591no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121—1181no—
1329#121—1181no—
1330#121—1181no—
1331#121—1181no—
1332#121—1181no—
1333#121—1181no—
1334#121—1181no—
1335#121—1181no—
1336#121—1181no—
1337#121—1181no—
1338#121—1181no—
1339#121—1181no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121C22×D5911yescharacteristic
1347#121C22×D5911yescharacteristic
1348#121C22×D5911yescharacteristic
1349#121C22×D5911yescharacteristic
1350#121C22×D5911yescharacteristic
1351#121C22×D5911yescharacteristic
1352#120—21no—
1353#120—21no—
1354#120—1181no—
1355#120—1181no—
1356#120—1181no—
1357#120—1181no—
1358#120—1181no—
1359#120—1181no—
1360#120—1181no—
1361#120—1181no—
1362#120—1181no—
1363#120—1181no—
1364#120—1181no—
1365#120—1181no—
1366#120—1181no—
1367#120—1181no—
1368C4×Q8—591no—
1369C4×Q8—591no—
1370C4×Q8—591no—
1371C4×Q8—591no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
1379C4×D4—591no—
1380C4×D4—1181no—
1381C4×D4—1181no—
1382C4×D4—1181no—
1383C4×D4—1181no—
1384C4×D4—1181no—
1385C4×D4—1181no—
1386C4×D4—1181no—
1387C4×D4—1181no—
1388C4×D4—1181no—
1389C4×D4—1181no—
1390C4×D4—1181no—
1391C4×D4—1181no—
1392#117—591no—
1393#117—591no—
1394#117—1181no—
1395#117—1181no—
1396#117—1181no—
1397#117—1181no—
1398#117—1181no—
1399#117C22×D5911yescharacteristic
1400C2×C4⋊C4—591no—
1401C2×C4⋊C4C22×D5911yescharacteristic
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C42—591no—
1405C2×C42—1181no—
1406#107—591no—
1407#107—591no—
1408#107C22×D5911yescharacteristic
1409#107C22×D5911yescharacteristic
1410#106—591no—
1411#106—591no—
1412#106C22×D5911yescharacteristic
1413#106C22×D5911yescharacteristic
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8—591no—
1417C4⋊C8—591no—
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103C22×D5911yescharacteristic
1425#103C22×D5911yescharacteristic
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102—591no—
1430#102—591no—
1431#102—591no—
1432#102—591no—
1433#102—591no—
1434#102—591no—
1435#102—591no—
1436#102—591no—
1437#102—591no—
1438#102—591no—
1439#102—591no—
1440#102—591no—
1441#102—591no—
1442#102—591no—
1443#102—591no—
1444#102C22×D5911yescharacteristic
1445#102C22×D5911yescharacteristic
1446#102C22×D5911yescharacteristic
1447#102C22×D5911yescharacteristic
1448#102C22×D5911yescharacteristic
1449#102C22×D5911yescharacteristic
1450C22⋊C8—591no—
1451C22⋊C8—591no—
1452C22⋊C8—591no—
1453C22⋊C8—591no—
1454C22⋊C8—591no—
1455C22⋊C8—591no—
1456C22⋊C8—591no—
1457C22⋊C8—591no—
1458C22⋊C8C22×D5911yescharacteristic
1459C22⋊C8C22×D5911yescharacteristic
1460C22⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97—591no—
1464#97—591no—
1465#97—591no—
1466C24—21no—
1467C24—1181no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—41no—
1474#41—41no—
1475#41—41no—
1476#41—41no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—1182no—
1481#41—1182no—
1482#41—1182no—
1483#41—2361no—
1484#41—2361no—
1485#41—2361no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2361no—
1490#41—2361no—
1491#41—2364no—
1492#41—2364no—
1493C2×Q8—591no—
1494C2×Q8—591no—
1495C2×Q8—591no—
1496C2×Q8—1181no—
1497C2×Q8—2361no—
1498C2×Q8—2361no—
1499C2×Q8D4×D5911yescharacteristic
1500C2×Q8C23×D5911yescharacteristic
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—591no—
1512C2×D4—591no—
1513C2×D4—591no—
1514C2×D4—591no—
1515C2×D4—591no—
1516C2×D4—591no—
1517C2×D4—591no—
1518C2×D4—591no—
1519C2×D4—591no—
1520C2×D4—591no—
1521C2×D4—591no—
1522C2×D4—1182no—
1523C2×D4—1182no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—1181no—
1527C2×D4—1181no—
1528C2×D4—1181no—
1529C2×D4—1181no—
1530C2×D4—1181no—
1531C2×D4—1181no—
1532C2×D4—1181no—
1533C2×D4—1181no—
1534C2×D4—1181no—
1535C2×D4—1181no—
1536C2×D4—1181no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1182no—
1541C2×D4—1182no—
1542C2×D4—1181no—
1543C2×D4—1181no—
1544C2×D4—1181no—
1545C2×D4—1181no—
1546C2×D4—1181no—
1547C2×D4—1181no—
1548C2×D4—1181no—
1549C2×D4—1181no—
1550C2×D4—1181no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—4722no—
1555C2×D4—4722no—
1556C2×D4—4722no—
1557C2×D4—4722no—
1558C2×D4—4722no—
1559C2×D4—4722no—
1560C2×D4—2361no—
1561C2×D4—2361no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2364no—
1569C2×D4—2364no—
1570C2×D4—2364no—
1571C2×D4—2364no—
1572C2×D4—2364no—
1573C2×D4—2364no—
1574C2×D4D4×D5911yescharacteristic
1575C2×D4D4×D5911yescharacteristic
1576C2×D4D4×D5911yescharacteristic
1577C2×D4C23×D5911yescharacteristic
1578C2×D4C23×D5911yescharacteristic
1579C2×D4C23×D5911yescharacteristic
1580C22×C4—21no—
1581C22×C4—21no—
1582C22×C4—591no—
1583C22×C4—591no—
1584C22×C4—591no—
1585C22×C4—591no—
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×C4C23×D5911yescharacteristic
1599C22×C4C23×D5911yescharacteristic
1600C22×C4C23×D5911yescharacteristic
1601Q16—1182no—
1602Q16—1182no—
1603SD16—41no—
1604SD16—41no—
1605SD16—1182no—
1606SD16—1182no—
1607SD16—1182no—
1608SD16—1182no—
1609SD16—2361no—
1610SD16—2361no—
1611SD16—2361no—
1612SD16—2361no—
1613SD16—2361no—
1614SD16—2361no—
1615D8—41no—
1616D8—41no—
1617D8—1182no—
1618D8—1182no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—41no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629C2×C8—41no—
1630C2×C8—591no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—2361no—
1635C2×C8—2361no—
1636C2×C8—2361no—
1637C2×C8C23×D5911yescharacteristic
1638C2×C8C23×D5911yescharacteristic
1639C2×C8C23×D5911yescharacteristic
1640C2×C8C23×D5911yescharacteristic
1641C4⋊C4—21no—
1642C4⋊C4—21no—
1643C4⋊C4—21no—
1644C4⋊C4—591no—
1645C4⋊C4—591no—
1646C4⋊C4—591no—
1647C4⋊C4—591no—
1648C4⋊C4—591no—
1649C4⋊C4—591no—
1650C4⋊C4—1181no—
1651C4⋊C4—1181no—
1652C4⋊C4—1181no—
1653C4⋊C4—1181no—
1654C4⋊C4—1181no—
1655C4⋊C4—1181no—
1656C4⋊C4—1181no—
1657C4⋊C4—1181no—
1658C4⋊C4—1181no—
1659C4⋊C4—1181no—
1660C4⋊C4—1181no—
1661C4⋊C4—1181no—
1662C4⋊C4—1181no—
1663C4⋊C4C23×D5911yescharacteristic
1664C4⋊C4C23×D5911yescharacteristic
1665C4⋊C4C23×D5911yescharacteristic
1666C4⋊C4C23×D5911yescharacteristic
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4—591no—
1677C22⋊C4—591no—
1678C22⋊C4—591no—
1679C22⋊C4—591no—
1680C22⋊C4—591no—
1681C22⋊C4—591no—
1682C22⋊C4—591no—
1683C22⋊C4—591no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4—1181no—
1687C22⋊C4—1181no—
1688C22⋊C4—1181no—
1689C22⋊C4—1181no—
1690C22⋊C4—1181no—
1691C22⋊C4—1181no—
1692C22⋊C4—1181no—
1693C22⋊C4—1181no—
1694C22⋊C4—1181no—
1695C22⋊C4—1181no—
1696C22⋊C4—1181no—
1697C22⋊C4—1181no—
1698C22⋊C4—1181no—
1699C22⋊C4—1181no—
1700C22⋊C4—1181no—
1701C22⋊C4—1181no—
1702C22⋊C4—1181no—
1703C22⋊C4—1181no—
1704C22⋊C4—1181no—
1705C22⋊C4—1181no—
1706C42—21no—
1707C42—591no—
1708C42—591no—
1709C42—591no—
1710C42—591no—
1711C42—1181no—
1712C42—1181no—
1713C42—1181no—
1714C42—1181no—
1715C42—1181no—
1716C42—1181no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—42no—
1721C23—81no—
1722C23—81no—
1723C23—591no—
1724C23—591no—
1725C23—1181no—
1726C23—1181no—
1727C23—1181no—
1728C23—1181no—
1729C23—4721no—
1730C23—4721no—
1731C23—4721no—
1732C23—4721no—
1733C23—4721no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—4721no—
1742C23—2362no—
1743C23—2362no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23C2×D4×D5911yescharacteristic
1748C23C2×D4×D5911yescharacteristic
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—41no—
1753Q8—592no—
1754Q8—1181no—
1755Q8—1181no—
1756Q8—1181no—
1757Q8—4721no—
1758Q8—2361no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—41no—
1766D4—41no—
1767D4—41no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—592no—
1777D4—1184no—
1778D4—1181no—
1779D4—1181no—
1780D4—1181no—
1781D4—1181no—
1782D4—1181no—
1783D4—1181no—
1784D4—1181no—
1785D4—4721no—
1786D4—4721no—
1787D4—4721no—
1788D4—4721no—
1789D4—4721no—
1790D4—4721no—
1791D4—4721no—
1792D4—4721no—
1793D4—4721no—
1794D4—4721no—
1795D4—4721no—
1796D4—4721no—
1797D4—4721no—
1798D4—4721no—
1799D4—2361no—
1800D4—2362no—
1801D4—2362no—
1802D4—2362no—
1803D4—2361no—
1804D4—2361no—
1805D4—2361no—
1806D4—2361no—
1807D4—2361no—
1808D4—2361no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815D4—2362no—
1816D4—2362no—
1817D4—2362no—
1818D4—2362no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—81no—
1831C2×C4—81no—
1832C2×C4—591no—
1833C2×C4—591no—
1834C2×C4—591no—
1835C2×C4—591no—
1836C2×C4—591no—
1837C2×C4—591no—
1838C2×C4—1184no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—4721no—
1850C2×C4—4721no—
1851C2×C4—4721no—
1852C2×C4—2362no—
1853C2×C4—2362no—
1854C2×C4—2362no—
1855C2×C4—2362no—
1856C2×C4—2361no—
1857C2×C4—2361no—
1858C2×C4—2362no—
1859C2×C4—2362no—
1860C2×C4C2×D4×D5911yescharacteristic
1861C2×C4C2×D4×D5911yescharacteristic
1862C2×C4C2×D4×D5911yescharacteristic
1863C2×C4C24×D5911yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—1181no—
1869C8—1181no—
1870C8—1181no—
1871C8—1181no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—41no—
1888C22—41no—
1889C22—41no—
1890C22—162no—
1891C22—1181no—
1892C22—1182no—
1893C22—1181no—
1894C22—1181no—
1895C22—1181no—
1896C22—1181no—
1897C22—1181no—
1898C22—9442no—
1899C22—9442no—
1900C22—9442no—
1901C22—9442no—
1902C22—9442no—
1903C22—9442no—
1904C22—2361no—
1905C22—2361no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22—2361no—
1914C22—2361no—
1915C22C22×D4×D5911yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—41no—
1920C4—41no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—1181no—
1925C4—1181no—
1926C4—1182no—
1927C4—1181no—
1928C4—1181no—
1929C4—1181no—
1930C4—1181no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4H(5,𝔽2)×D5911yescharacteristic
1936C2—41no—
1937C2—41no—
1938C2—41no—
1939C2—81no—
1940C2—81no—
1941C2—81no—
1942C2—4721no—
1943C2—4721no—
1944C2—4721no—
1945C2—2361no—
1946C2—2361no—
1947C2—2362no—
1948C2#2143772811yescharacteristic
1949C2#2143887111yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3198C2
socleC22×C59C23×D4
hypercenter#3198D59
hypocenterC59#61675
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3198

Complements

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

NH ≅ G/Ntype
1. #21438514C2semidirect
2. #21437871C2semidirect
3. #21436243C2semidirect
4. #21436235C2semidirect
5. #21436225C2semidirect
6. #21436217C2semidirect
7. #21436123C2semidirect
8. #21436115C2semidirect
9. #21436105C2semidirect
10. #21436097C2semidirect
11. #21435678C2semidirect
12. #21435674C2semidirect
13. #21435640C2semidirect
14. #21435633C2semidirect
15. #21435598C2semidirect
16. #21435594C2semidirect
17. #21435583C2semidirect
18. #21435579C2semidirect
19. #21435117C2semidirect
20. #21435112C2semidirect
21. #21434967C2semidirect
22. #21434960C2semidirect
23. #21434948C2semidirect
24. #21434208C2semidirect
25. #21434200C2semidirect
26. #21433403C2semidirect
27. #21433397C2semidirect
28. #21433368C2semidirect
29. #21433359C2semidirect
30. #21433165C2semidirect
31. C59×#3198C2semidirect
32. C2×#14273773C22semidirect
34. C2×#14273756C22semidirect
35. C2×#14273755C22semidirect
36. C2×#14273752C22semidirect
37. C2×#14273751C22semidirect
38. C2×#14273749C22semidirect
39. C2×#14273747C22semidirect
40. C2×SD16×D59C22semidirect
41. C2×D8×D59C22semidirect
45. #16838104C22semidirect
46. #16838100C22semidirect
47. #16838094C22semidirect
48. #16838087C22semidirect
52. #16838070C22semidirect
53. #16838070C22semidirect
54. #16838062C22semidirect
55. #16838059C22semidirect
56. #16838049C22semidirect
57. #16838040C22semidirect
60. #16838036C22semidirect
61. #16838036C22semidirect
70. #16837980C22semidirect
71. #16837975C22semidirect
74. #16837968C22semidirect
78. C2×#14273723C22semidirect
80. #16837938C22semidirect
81. #16837933C22semidirect
82. #16837870C22semidirect
83. #16837790C22semidirect
84. #16837790C22semidirect
85. #16837788C22semidirect
86. #16837788C22semidirect
87. #16837765C22semidirect
88. #16837765C22semidirect
89. #16837765C22semidirect
90. #16837765C22semidirect
91. #16837743C22semidirect
92. #16837729C22semidirect
93. #16837729C22semidirect
94. #16837728C22semidirect
95. #16837728C22semidirect
96. #16837726C22semidirect
97. #16837718C22semidirect
98. #16837713C22semidirect
99. #16837712C22semidirect
100. #16837708C22semidirect
101. #16837705C22semidirect
102. #16837701C22semidirect
103. #16837656C22semidirect
104. #16837654C22semidirect
105. #16837653C22semidirect
106. #16837651C22semidirect
107. #16837649C22semidirect
108. #16837646C22semidirect
109. #16837639C22semidirect
110. #16837637C22semidirect
111. #16837636C22semidirect
112. #16837634C22semidirect
113. #16837632C22semidirect
114. #16837629C22semidirect
115. #16837627C22semidirect
116. #16837623C22semidirect
117. #16837620C22semidirect
118. #16837616C22semidirect
119. #16837601C22semidirect
120. #16837601C22semidirect
121. #16837600C22semidirect
122. #16837600C22semidirect
123. #16837596C22semidirect
124. #16837596C22semidirect
125. #16837595C22semidirect
126. #16837595C22semidirect
127. #16837566C22semidirect
128. #16837566C22semidirect
129. #16837565C22semidirect
130. #16837562C22semidirect
131. #16837562C22semidirect
132. #16837561C22semidirect
133. #16837555C22semidirect
134. #16837555C22semidirect
135. #16837554C22semidirect
136. #16837553C22semidirect
137. #16837552C22semidirect
138. #16837552C22semidirect
139. #16837551C22semidirect
141. #16837549C22semidirect
142. #16837548C22semidirect
144. #16837545C22semidirect
145. #16837545C22semidirect
146. #16837545C22semidirect
147. #16837544C22semidirect
148. #16837542C22semidirect
149. #16837542C22semidirect
150. #16837538C22semidirect
151. #16837538C22semidirect
152. #16837537C22semidirect
153. #16837537C22semidirect
154. #16837537C22semidirect
155. #16837536C22semidirect
156. #16837535C22semidirect
157. #16837535C22semidirect
158. #16837534C22semidirect
159. #16837513C22semidirect
160. #16837511C22semidirect
161. #16837508C22semidirect
162. #16837506C22semidirect
163. #16837505C22semidirect
164. #16837501C22semidirect
165. #16837501C22semidirect
166. #16837499C22semidirect
167. #16837476C22semidirect
168. #16837476C22semidirect
169. #16837473C22semidirect
170. #16837473C22semidirect
171. #16837471C22semidirect
172. #16837471C22semidirect
173. #16837470C22semidirect
174. #16837470C22semidirect
175. #16837456C22semidirect
176. #16837456C22semidirect
177. #16837405C22semidirect
178. #16837405C22semidirect
179. #16837404C22semidirect
180. #16837401C22semidirect
181. #16837395C22semidirect
182. #16837395C22semidirect
183. C2×#14273649C22semidirect
184. C2×#14273647C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
188. C59×#537C22semidirect
189. C59×#535C22semidirect
190. C59×#485C22semidirect
191. C59×#482C22semidirect
192. C59×#481C22semidirect
193. C59×#480C22semidirect
194. C59×#469C22semidirect
195. C59×#468C22semidirect
196. C59×#466C22semidirect
197. C59×#465C22semidirect
198. C59×#450C22semidirect
199. C59×#449C22semidirect
200. C59×#449C22semidirect
201. C59×#447C22semidirect
202. C59×#408C22semidirect
984. #3198D59semidirect
1046. #537C2×D59semidirect
1052. #535C2×D59semidirect
1069. #485C2×D59semidirect
1075. #482C2×D59semidirect
1077. #481C2×D59semidirect
1079. #480C2×D59semidirect
1087. #469C2×D59semidirect
1091. #468C2×D59semidirect
1095. #466C2×D59semidirect
1099. #465C2×D59semidirect
1125. #450C2×D59semidirect
1134. #449C2×D59semidirect
1135. #449C2×D59semidirect
1147. #447C2×D59semidirect
1177. #408C2×D59semidirect
1178. C59#61675semidirect

Maximal subgroups

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

subgroupindex
#214385142
#214378712
#214362432
#214362352
#214362252
#214362172
#214361232
#214361152
#214361052
#214360972
#214356782
#214356742
#214356402
#214356332
#214355982
#214355942
#214355832
#214355792
#214351172
#214351122
#214349672
#214349602
#214349482
#214342082
#214342002
#214334032
#214333972
#214333682
#214333592
#214331652
C59×#31982
#6167559