Finite Group Databasebeta

← #29475232

Subgroups — #29475232

Order 15104.

2164 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#21438408C211yesmaximal, characteristic, complemented
2#21437763C211yesmaximal, characteristic, complemented
3#21436422C211yesmaximal, characteristic, complemented
4#21436356C211yesmaximal, characteristic, complemented
5#21436337C211yesmaximal, characteristic, complemented
6#21436319C211yesmaximal, characteristic, complemented
7#21436281C211yesmaximal, characteristic, complemented
8#21436244C211yesmaximal, characteristic, complemented
9#21436229C211yesmaximal, characteristic, complemented
10#21436056C211yesmaximal, characteristic, complemented
11#21435726C211yesmaximal, characteristic, complemented
12#21435719C211yesmaximal, characteristic, complemented
13#21435711C211yesmaximal, characteristic, complemented
14#21435705C211yesmaximal, characteristic, complemented
15#21435687C211yesmaximal, characteristic, complemented
16#21435635C211yesmaximal, characteristic, complemented
17#21435582C211yesmaximal, characteristic, complemented
18#21435575C211yesmaximal, characteristic, complemented
19#21435146C211yesmaximal, characteristic, complemented
20#21435004C211yesmaximal, characteristic, complemented
21#21434945C211yesmaximal, characteristic, complemented
22#21434913C211yesmaximal, characteristic, complemented
23#21434894C211yesmaximal, characteristic, complemented
24#21434367C211yesmaximal, characteristic, complemented
25#21434297C211yesmaximal, characteristic, complemented
26#21433401C211yesmaximal, characteristic, complemented
27#21433359C211yesmaximal, characteristic, complemented
28#21433345C211yesmaximal, characteristic, complemented
29#21433339C211yesmaximal, characteristic, complemented
30#21433157C211yesmaximal, characteristic, complemented
31C59×#3224C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic, complemented
33C2×#41×D59C2211yescharacteristic, complemented
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273754C2211yescharacteristic, complemented
37C2×#14273754C2211yescharacteristic, complemented
38C2×#14273751C2211yescharacteristic, complemented
39C2×#14273751C2211yescharacteristic, complemented
40C2×#14273748C2211yescharacteristic, complemented
41C2×D8×D59C2211yescharacteristic, complemented
42#16838148—21no—
43#16838143—21no—
44#16838118C2211yescharacteristic, complemented
45#16838102C2211yescharacteristic, complemented
46#16838093C2211yescharacteristic, complemented
47#16838077—21no—
48#16838074C2211yescharacteristic, complemented
49#16838072C2211yescharacteristic
50#16838072C2211yescharacteristic, complemented
51#16838060C2211yescharacteristic, complemented
52#16838060C2211yescharacteristic, complemented
53#16838055C2211yescharacteristic, complemented
54#16838045C2211yescharacteristic
55#16838045C2211yescharacteristic, complemented
56#16838045C2211yescharacteristic, complemented
57#16838045C2211yescharacteristic, complemented
58#16838043—21no—
59#16838039—21no—
60#16838039—21no—
61D4×D236C2211yescharacteristic, complemented
62#16838037C2211yescharacteristic, complemented
63#16838037C2211yescharacteristic, complemented
64#16838034—21no—
65#16838034—21no—
66#16838007C2211yescharacteristic, complemented
67#16838004—21no—
68#16837986—21no—
69#16837982C2211yescharacteristic, complemented
70#16837981—21no—
71#16837980C2211yescharacteristic, complemented
72#16837970—21no—
73#16837968—21no—
74#16837968C2211yescharacteristic, complemented
75#16837963—21no—
76#16837915C2211yescharacteristic, complemented
77#16837914C2211yescharacteristic
78#16837912—21no—
79C2×#14273698C2211yescharacteristic, complemented
80#121×D59—21no—
81#121×D59C2211yescharacteristic, complemented
82#16837882C2211yescharacteristic, complemented
83#16837792C2211yescharacteristic, complemented
84#16837778C2211yescharacteristic, complemented
85#16837766C2211yescharacteristic, complemented
86#16837756C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837731C2211yescharacteristic, complemented
89#16837730C2211yescharacteristic, complemented
90#16837724C2211yescharacteristic, complemented
91#16837724C2211yescharacteristic, complemented
92#16837724C2211yescharacteristic, complemented
93#16837721C2211yescharacteristic, complemented
94#16837719C2211yescharacteristic, complemented
95#16837719C2211yescharacteristic, complemented
96#16837719C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837710C2211yescharacteristic, complemented
100#16837703C2211yescharacteristic, complemented
101#16837689C2211yescharacteristic, complemented
102#16837684C2211yescharacteristic, complemented
103#16837657C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic, complemented
107#16837654C2211yescharacteristic, complemented
108#16837654C2211yescharacteristic, complemented
109#16837654C2211yescharacteristic, complemented
110#16837652C2211yescharacteristic, complemented
111#16837652C2211yescharacteristic, complemented
112#16837645C2211yescharacteristic, complemented
113#16837645C2211yescharacteristic, complemented
114#16837645C2211yescharacteristic, complemented
115#16837635C2211yescharacteristic, complemented
116#16837634C2211yescharacteristic, complemented
117#16837634C2211yescharacteristic, complemented
118#16837628C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837614C2211yescharacteristic, complemented
122#16837614C2211yescharacteristic, complemented
123#16837603C2211yescharacteristic, complemented
124#16837598C2211yescharacteristic, complemented
125#16837594C2211yescharacteristic, complemented
126#16837594C2211yescharacteristic, complemented
127#16837563C2211yescharacteristic, complemented
128#16837563C2211yescharacteristic, complemented
129#16837562C2211yescharacteristic, complemented
130#16837561C2211yescharacteristic, complemented
131#16837561C2211yescharacteristic, complemented
132#16837551C2211yescharacteristic, complemented
133#16837551C2211yescharacteristic, complemented
134#16837550C2211yescharacteristic, complemented
135#16837549C2211yescharacteristic, complemented
136#16837549C2211yescharacteristic, complemented
137#16837548C2211yescharacteristic, complemented
138#16837548C2211yescharacteristic, complemented
139#16837548C2211yescharacteristic, complemented
140#16837547C2211yescharacteristic, complemented
141#16837547C2211yescharacteristic, complemented
142#16837546C2211yescharacteristic, complemented
143#16837546C2211yescharacteristic, complemented
144#16837546C2211yescharacteristic, complemented
145#16837545C2211yescharacteristic
146#16837544C2211yescharacteristic, complemented
147#16837542C2211yescharacteristic, complemented
148#16837539C2211yescharacteristic, complemented
149#16837537C2211yescharacteristic, complemented
150#16837537C2211yescharacteristic, complemented
151#16837537C2211yescharacteristic, complemented
152#16837536C2211yescharacteristic, complemented
153#16837536C2211yescharacteristic, complemented
154#16837534C2211yescharacteristic, complemented
155#16837534C2211yescharacteristic, complemented
156#16837534C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837515C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837507C2211yescharacteristic, complemented
162#16837504C2211yescharacteristic, complemented
163C4×#11745660C2211yescharacteristic, complemented
164C4×#11745671C2211yescharacteristic, complemented
165C4×#11745670C2211yescharacteristic, complemented
166C4×D472C2211yescharacteristic, complemented
167#16837481C2211yescharacteristic, complemented
168#16837481C2211yescharacteristic, complemented
169#16837479C2211yescharacteristic, complemented
170#16837479C2211yescharacteristic, complemented
171#16837475C2211yescharacteristic, complemented
172#16837475C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837472C2211yescharacteristic, complemented
175#16837463C2211yescharacteristic, complemented
176#16837409C2211yescharacteristic, complemented
177#16837405C2211yescharacteristic, complemented
178#16837405C2211yescharacteristic, complemented
179#16837402C2211yescharacteristic, complemented
180#16837400C2211yescharacteristic, complemented
181#16837400C2211yescharacteristic, complemented
182#16837395C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837367C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C59×#542C2211yescharacteristic, complemented
189C59×#535C2211yescharacteristic, complemented
190C59×#496C2211yescharacteristic, complemented
191C59×#495C2211yescharacteristic, complemented
192C59×#489C2211yescharacteristic, complemented
193C59×#486C2211yescharacteristic, complemented
194C59×#464C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#460C2211yescharacteristic, complemented
197C59×#459C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#450C2211yescharacteristic, complemented
200C59×#449C2211yescharacteristic, complemented
201C59×#447C2211yescharacteristic, complemented
202C59×#433C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745689—21no—
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216C2×#11745687C2311yescharacteristic
217#41×D59—42no—
218#41×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C22×D236—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×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C2×D4×D59C2311yescharacteristic
232C2×D4×D59C2311yescharacteristic
233C2×D4×D59C2311yescharacteristic
234C22×C4×D59—21no—
235C22×C4×D59C2311yescharacteristic
236#14273759—42no—
237#14273754—42no—
238#14273754—42no—
239#14273754—42no—
240#14273751—42no—
241#14273751—42no—
242#14273748—42no—
243C2×#11745672C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745670C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×D472C2311yescharacteristic
251C2×D472C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745669C2311yescharacteristic
256C2×#11745669C2311yescharacteristic
257C2×#11745669C2311yescharacteristic
258C2×#11745669C2311yescharacteristic
259D8×D59—42no—
260C2×#11745659C2311yescharacteristic
261C2×#11745659C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C2×#11745659C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C2×C8×D59C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268#14273724—21no—
269#14273724C2311yescharacteristic
270#14273723—21no—
271#14273723—21no—
272#14273723—21no—
273#14273721—21no—
274#14273720—21no—
275#14273719C2311yescharacteristic
276#14273717—21no—
277#14273716—21no—
278#14273716—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273711D411yescharacteristic
289#14273711D411yescharacteristic
290#14273710—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709—21no—
295#14273707D411yescharacteristic
296#14273707D411yescharacteristic
297#14273706—21no—
298#14273705—21no—
299#14273704—21no—
300#14273704—21no—
301#14273703—21no—
302#14273703C2311yescharacteristic
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273702—21no—
307#14273702—21no—
308#14273702—21no—
309#14273702—21no—
310#14273702D411yescharacteristic
311#14273702D411yescharacteristic
312#14273702C2311yescharacteristic
313#14273702C2311yescharacteristic
314#14273702C2311yescharacteristic
315#14273702C2311yescharacteristic
316#14273701—21no—
317#14273701—21no—
318#14273701C2311yescharacteristic
319#14273701C2311yescharacteristic
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700—21no—
330#14273700—21no—
331#14273700—21no—
332#14273699—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273699—21no—
337#14273699—21no—
338#14273699—21no—
339#14273698—21no—
340#14273698—21no—
341#14273698—21no—
342#14273698—21no—
343#14273698C2311yescharacteristic
344#14273698C2311yescharacteristic
345#14273698C2311yescharacteristic
346#14273698C2311yescharacteristic
347#14273698C2311yescharacteristic
348#14273698C2311yescharacteristic
349#14273698C2311yescharacteristic
350#14273698C2311yescharacteristic
351#14273697—21no—
352#14273697—21no—
353#14273697—21no—
354#14273697—21no—
355#14273697—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273697D411yescharacteristic
360#14273697D411yescharacteristic
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364#14273695—21no—
365#14273695—21no—
366C4×Dic118C2311yescharacteristic
367C4×Dic118C2311yescharacteristic
368C4×D236—21no—
369C4×D236C2311yescharacteristic
370C4×D236C2311yescharacteristic
371C4×D236C2311yescharacteristic
372C4×D236C2311yescharacteristic
373C4×D236C2311yescharacteristic
374C4×D236C2311yescharacteristic
375C4×D236C2311yescharacteristic
376C4×D236C2311yescharacteristic
377D4×Dic59—21no—
378D4×Dic59—21no—
379#14273689—21no—
380C4×C22⋊D59—21no—
381(C22⋊D59)⋊C4—21no—
382(C22⋊D59)⋊C4—21no—
383(C22⋊D59)⋊C4—21no—
384(C22⋊D59)⋊C4—21no—
385(C22⋊D59)⋊C4—21no—
386#14273685—21no—
387#14273685—21no—
388#14273685C2311yescharacteristic
389#14273685C2311yescharacteristic
390#14273684—21no—
391C2×C4⋊Dic59C2311yescharacteristic
392C4⋊C4×D59—21no—
393C4⋊C4×D59C2311yescharacteristic
394C4⋊C4×D59C2311yescharacteristic
395C2×C22⋊Dic59—21no—
396C22⋊C4×D59—21no—
397C22⋊C4×D59—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401#14273661C2311yescharacteristic
402#14273661C2311yescharacteristic
403#14273659C2311yescharacteristic
404#14273659C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407#14273658C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410C4⋊(C59⋊C8)C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273648C2311yescharacteristic
432#14273648C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444(C2×D59)⋊C8C2311yescharacteristic
445#14273638C2311yescharacteristic
446C4×C59⋊C8C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×D8×C59C2311yescharacteristic
455C2×D8×C59C2311yescharacteristic
456C2×D8×C59C2311yescharacteristic
457C4⋊Q8×C59C2311yescharacteristic
458#127×C59C2311yescharacteristic
459#127×C59C2311yescharacteristic
460#126×C59—21no—
461#124×C59—21no—
462#124×C59C2311yescharacteristic
463#124×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#120×C59—21no—
472#120×C59—21no—
473C4×Q8×C59C2311yescharacteristic
474C4×D4×C59C2311yescharacteristic
475#117×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477C4⋊C8×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
488#97×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59C2×D411yescharacteristic
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59C2411yescharacteristic
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—21no—
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—41no—
510C2×D4×C59—41no—
511C2×D4×C59C2411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59C2411yescharacteristic
518C2×C22⋊D59—21no—
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
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—44no—
538C2×C22⋊D59—44no—
539C2×C22⋊D59—82no—
540C2×C22⋊D59C2×D411yescharacteristic
541C2×C22⋊D59C2×D411yescharacteristic
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59—21no—
546C22×Dic59C2×D411yescharacteristic
547#11745689—22no—
548#11745689—41no—
549#11745689—41no—
550#11745689—41no—
551#11745689—41no—
552#11745689—41no—
553#11745689—82no—
554Q8×D59—22no—
555Q8×D59—41no—
556#11745687—22no—
557#11745687—22no—
558#11745687—22no—
559#11745687—41no—
560#11745687—41no—
561#11745687—41no—
562#11745687—44no—
563#11745687—44no—
564D4×D59—22no—
565D4×D59—22no—
566D4×D59—22no—
567D4×D59—41no—
568D4×D59—41no—
569D4×D59—41no—
570D4×D59—41no—
571D4×D59—41no—
572D4×D59—41no—
573D4×D59—41no—
574D4×D59—44no—
575D4×D59—44no—
576D4×D59—82no—
577D4×D59—82no—
578D4×D59—82no—
579#11745685—22no—
580#11745685—22no—
581#11745685—41no—
582#11745685—41no—
583#11745685—44no—
584C2×D236—21no—
585C2×D236—21no—
586C2×D236—21no—
587C2×D236—21no—
588C2×D236—21no—
589C2×D236—21no—
590C2×D236—21no—
591C2×D236—21no—
592C2×D236—21no—
593C2×D236—82no—
594C2×D236C2×D411yescharacteristic
595C2×D236C2×D411yescharacteristic
596C2×D236C2×D411yescharacteristic
597C2×D236C2×D411yescharacteristic
598C2×D236C2×D411yescharacteristic
599C2×D236C2411yescharacteristic
600C2×D236C2411yescharacteristic
601C2×D236C2411yescharacteristic
602C2×C4×D59—21no—
603C2×C4×D59—21no—
604C2×C4×D59—21no—
605C2×C4×D59—21no—
606C2×C4×D59—21no—
607C2×C4×D59—21no—
608C2×C4×D59—21no—
609C2×C4×D59—21no—
610C2×C4×D59—21no—
611C2×C4×D59—21no—
612C2×C4×D59—21no—
613C2×C4×D59—41no—
614C2×C4×D59—41no—
615C2×C4×D59—44no—
616C2×C4×D59C2×D411yescharacteristic
617C2×C4×D59C2×D411yescharacteristic
618C2×C4×D59C2411yescharacteristic
619C2×C4×D59C2411yescharacteristic
620C2×C4×D59C2411yescharacteristic
621C2×C4×D59C2411yescharacteristic
622C2×Dic118—21no—
623C2×Dic118C2×D411yescharacteristic
624C2×Dic118C2411yescharacteristic
625Q16×C59—41no—
626SD16×C59—41no—
627SD16×C59—41no—
628SD16×C59—41no—
629SD16×C59—41no—
630D8×C59—41no—
631D8×C59—41no—
632D8×C59—41no—
633C2×C8×C59C2411yescharacteristic
634C2×C8×C59C2411yescharacteristic
635C2×C8×C59C2411yescharacteristic
636C2×C8×C59C2411yescharacteristic
637C4⋊C4×C59—21no—
638C4⋊C4×C59—21no—
639C4⋊C4×C59—21no—
640C4⋊C4×C59C2×D411yescharacteristic
641C4⋊C4×C59C2×D411yescharacteristic
642C4⋊C4×C59C2411yescharacteristic
643C4⋊C4×C59C2411yescharacteristic
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—
651C22⋊C4×C59—21no—
652C22⋊C4×C59—21no—
653C22⋊C4×C59C2×D411yescharacteristic
654C22⋊C4×C59C2×D411yescharacteristic
655C42×C59—21no—
656C42×C59C2411yescharacteristic
657C42×C59C2411yescharacteristic
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59—21no—
665C22⋊Dic59—21no—
666#11745672—22no—
667#11745671—22no—
668#11745671—41no—
669#11745671—41no—
670#11745670—22no—
671#11745669—22no—
672#11745669—41no—
673#11745669—41no—
674#11745669—41no—
675#11745669—41no—
676#11745669—41no—
677#11745669—41no—
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)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4—21no—
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697(C2×D59)⋊C4C2×D411yescharacteristic
698(C2×D59)⋊C4C2×D411yescharacteristic
699(C2×D59)⋊C4C2×D411yescharacteristic
700(C2×D59)⋊C4C2×D411yescharacteristic
701(C2×D59)⋊C4C2×D411yescharacteristic
702C4⋊Dic59—21no—
703C4⋊Dic59C2×D411yescharacteristic
704C4⋊Dic59C2×D411yescharacteristic
705C4⋊Dic59C2×D411yescharacteristic
706C4⋊Dic59C2×D411yescharacteristic
707C4⋊Dic59C2411yescharacteristic
708C4⋊Dic59C2411yescharacteristic
709C4⋊Dic59C2411yescharacteristic
710C4⋊Dic59C2411yescharacteristic
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4—21no—
718Dic59⋊C4—21no—
719Dic59⋊C4—21no—
720Dic59⋊C4—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C2×C59⋊C8C2411yescharacteristic
726C2×C59⋊C8C2411yescharacteristic
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729D472—22no—
730D472—22no—
731#11745660—22no—
732#11745660—22no—
733#11745659—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737#11745659—41no—
738#11745659—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—21no—
745C23×C59—42no—
746C23×C59—81no—
747C23×C59—81no—
748C23×C59C22×D411yescharacteristic
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—41no—
753C22×D59—41no—
754C22×D59—41no—
755C22×D59—42no—
756C22×D59—42no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
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×D59C22×D411yescharacteristic
771C22×D59C22×D411yescharacteristic
772C22×D59C22×D411yescharacteristic
773C22×D59C22×D411yescharacteristic
774Q8×C59—21no—
775Q8×C59—21no—
776Q8×C59—21no—
777Q8×C59—21no—
778Q8×C59—81no—
779D4×C59—21no—
780D4×C59—21no—
781D4×C59—21no—
782D4×C59—21no—
783D4×C59—21no—
784D4×C59—21no—
785D4×C59—21no—
786D4×C59—21no—
787D4×C59—42no—
788D4×C59—42no—
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—42no—
801C2×C4×C59—81no—
802C2×C4×C59C22×D411yescharacteristic
803C2×C4×C59C22×D411yescharacteristic
804C2×C4×C59C22×D411yescharacteristic
805C2×C4×C59C22×D411yescharacteristic
806C2×C4×C59C22×D411yescharacteristic
807C2×C4×C59C2511yescharacteristic
808C22⋊D59—24no—
809C22⋊D59—41no—
810C22⋊D59—41no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—42no—
816C22⋊D59—42no—
817C22⋊D59—42no—
818C22⋊D59—42no—
819C22⋊D59—81no—
820C22⋊D59—81no—
821C22⋊D59—81no—
822C22⋊D59—81no—
823C22⋊D59—81no—
824C22⋊D59—81no—
825C22⋊D59—81no—
826C22⋊D59—81no—
827C22⋊D59—81no—
828C22⋊D59—81no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—41no—
835C2×Dic59—42no—
836C2×Dic59—42no—
837C2×Dic59—42no—
838C2×Dic59—81no—
839C2×Dic59C22×D411yescharacteristic
840C2×Dic59C22×D411yescharacteristic
841C2×Dic59C22×D411yescharacteristic
842C2×Dic59C22×D411yescharacteristic
843D236—21no—
844D236—21no—
845D236—21no—
846D236—21no—
847D236—21no—
848D236—41no—
849D236—41no—
850D236—41no—
851D236—41no—
852D236—41no—
853D236—42no—
854D236—42no—
855D236—81no—
856D236—81no—
857D236—81no—
858D236—81no—
859D236—81no—
860D236—81no—
861D236—81no—
862D236H(5,𝔽2)12yes—
863C4×D59—24no—
864C4×D59—21no—
865C4×D59—21no—
866C4×D59—21no—
867C4×D59—21no—
868C4×D59—21no—
869C4×D59—21no—
870C4×D59—21no—
871C4×D59—21no—
872C4×D59—41no—
873C4×D59—41no—
874C4×D59—42no—
875C4×D59—42no—
876C4×D59—42no—
877C4×D59—81no—
878C4×D59—81no—
879C4×D59—81no—
880C4×D59—81no—
881C4×D59—81no—
882C4×D59—81no—
883C4×D59—81no—
884Dic118—21no—
885Dic118—41no—
886Dic118—42no—
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#61653—591nomaximal, Sylow
897C22×C59—21no—
898C22×C59—21no—
899C22×C59—21no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—162no—
913C22×C59C23×D411yescharacteristic
914C2×D59—21no—
915C2×D59—21no—
916C2×D59—21no—
917C2×D59—21no—
918C2×D59—21no—
919C2×D59—21no—
920C2×D59—21no—
921C2×D59—21no—
922C2×D59—21no—
923C2×D59—22no—
924C2×D59—21no—
925C2×D59—21no—
926C2×D59—21no—
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—82no—
936C2×D59—84no—
937C2×D59—162no—
938C2×D59—162no—
939C2×D59—162no—
940C2×D59—162no—
941C4×C59—21no—
942C4×C59—21no—
943C4×C59—21no—
944C4×C59—21no—
945C4×C59—21no—
946C4×C59—41no—
947C4×C59—41no—
948C4×C59—41no—
949C4×C59—41no—
950C4×C59C2×H(5,𝔽2)11yescharacteristic
951C4×C59C2×H(5,𝔽2)11yescharacteristic
952Dic59—22no—
953Dic59—21no—
954Dic59—21no—
955Dic59—21no—
956Dic59—21no—
957Dic59—41no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961#3542—591no—
962#3488—591no—
963#3332—591no—
964#3326—591no—
965#3325—591no—
966#3323—591no—
967#3321—591no—
968#3318—591no—
969#3317—591no—
970#3306—591no—
971#3275—591no—
972#3274—591no—
973#3274—591no—
974#3273—591no—
975#3271—591no—
976#3268—591no—
977#3264—591no—
978#3264—591no—
979#3224D5911yescharacteristic, complemented
980#3220—591no—
981#3204—591no—
982#3198—591no—
983#3194—591no—
984#3192—591no—
985#3125—591no—
986#3119—591no—
987#3012—591no—
988#3008—591no—
989#3006—591no—
990#3005—591no—
991#2978—591no—
992C2×C59—41no—
993C2×C59—81no—
994C2×C59—81no—
995C2×C59—81no—
996C2×C59—81no—
997C2×C59#348411yescharacteristic
998C2×C59#358511yescharacteristic
999C2×C59#358511yescharacteristic
1000D59—41no—
1001D59—41no—
1002D59—41no—
1003D59—41no—
1004D59—42no—
1005D59—81no—
1006D59—81no—
1007C2×H(5,𝔽2)—591no—
1008C22×#41—591no—
1009C2×#137—591no—
1010C2×AGL(1,ℤ/8)—591no—
1011C2×AGL(1,ℤ/8)—591no—
1012C2×AGL(1,ℤ/8)—591no—
1013C2×AGL(1,ℤ/8)—591no—
1014C2×AGL(1,ℤ/8)—591no—
1015C2×#135—591no—
1016C22×D8—591no—
1017#562—1181no—
1018#560—1181no—
1019#555—591no—
1020#553—591no—
1021#552—591no—
1022#551—1181no—
1023#550—591no—
1024#550—591no—
1025#550—591no—
1026#548—591no—
1027#548—591no—
1028#547—591no—
1029#546—591no—
1030#546—591no—
1031#546—591no—
1032#546—591no—
1033#546—1181no—
1034#546—1181no—
1035#546—1181no—
1036D42—591no—
1037D42—591no—
1038D42—591no—
1039D42—1181no—
1040D42—1181no—
1041#542C2×D5911yescharacteristic, complemented
1042#540—591no—
1043#540—1181no—
1044#538—1181no—
1045#537—591no—
1046#537—591no—
1047#537—1181no—
1048#535—591no—
1049#535—1181no—
1050#535—1181no—
1051#535C2×D5911yescharacteristic, complemented
1052#534—1181no—
1053#525—591no—
1054#525—591no—
1055#525—1181no—
1056C2×#121—591no—
1057C2×#121—591no—
1058C2×#121—1181no—
1059#520—591no—
1060#496—591no—
1061#496C2×D5911yescharacteristic, complemented
1062#495C2×D5911yescharacteristic, complemented
1063#493—591no—
1064#490—591no—
1065#489C2×D5911yescharacteristic, complemented
1066#488—591no—
1067#486C2×D5911yescharacteristic, complemented
1068#485—591no—
1069#483—591no—
1070#483—591no—
1071#482—591no—
1072#482—591no—
1073#482—591no—
1074#481—591no—
1075#481—591no—
1076#481—591no—
1077#481—591no—
1078#481—591no—
1079#480—591no—
1080#479—591no—
1081#478—591no—
1082#476—591no—
1083#475—591no—
1084#470—591no—
1085#469—591no—
1086#469—591no—
1087#469—591no—
1088#469—591no—
1089#469—591no—
1090#469—591no—
1091#469—591no—
1092#469—591no—
1093#468—591no—
1094#468—591no—
1095#468—591no—
1096#466—591no—
1097#465—591no—
1098#465—591no—
1099#465—591no—
1100#464—591no—
1101#464C2×D5911yescharacteristic, complemented
1102#463—591no—
1103#463—591no—
1104#463—591no—
1105#463C2×D5911yescharacteristic, complemented
1106#460—591no—
1107#460C2×D5911yescharacteristic, complemented
1108#459—591no—
1109#459—591no—
1110#459—591no—
1111#459C2×D5911yescharacteristic, complemented
1112#452—591no—
1113#452—591no—
1114#452—591no—
1115#452—591no—
1116#452—591no—
1117#452C2×D5911yescharacteristic, complemented
1118#450—591no—
1119#450—591no—
1120#450C2×D5911yescharacteristic, complemented
1121#449—591no—
1122#449—591no—
1123#449—591no—
1124#449—591no—
1125#449—591no—
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#448—591no—
1136#448—591no—
1137#447—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#440—591no—
1152C4×SD16—591no—
1153C4×SD16—591no—
1154C4×SD16—591no—
1155C4×D8—591no—
1156#436—591no—
1157#436—591no—
1158#436—591no—
1159#436—591no—
1160#435—591no—
1161#435—591no—
1162#435—591no—
1163#435—591no—
1164#433—591no—
1165#433C2×D5911yescharacteristic, complemented
1166#419—591no—
1167#418—591no—
1168#418—591no—
1169#417—591no—
1170#417—591no—
1171#417—591no—
1172#416—591no—
1173C2×#102—591no—
1174#408—591no—
1175#408—591no—
1176#407—591no—
1177#407—591no—
1178C59#6165311yescharacteristic, complemented, Sylow
1179H(5,𝔽2)—2362no—
1180H(5,𝔽2)—2362no—
1181C2×#41—591no—
1182C2×#41—591no—
1183C2×#41—591no—
1184C2×#41—591no—
1185C2×#41—591no—
1186C2×#41—591no—
1187C2×#41—591no—
1188C2×#41—591no—
1189C2×#41—1181no—
1190C2×#41—1181no—
1191C2×#41—1181no—
1192C2×#41—1181no—
1193C2×#41—2362no—
1194C2×#41—2362no—
1195C2×#41C22×D5911yescharacteristic
1196C22×Q8—591no—
1197C22×D4—591no—
1198C22×D4—591no—
1199C22×D4—591no—
1200C22×D4—591no—
1201C22×D4—591no—
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×D4C22×D5911yescharacteristic
1212C23×C4—591no—
1213C23×C4—1181no—
1214#137—2362no—
1215AGL(1,ℤ/8)—2362no—
1216AGL(1,ℤ/8)—2362no—
1217AGL(1,ℤ/8)—2362no—
1218AGL(1,ℤ/8)—2362no—
1219AGL(1,ℤ/8)—2362no—
1220#135—2362no—
1221C2×Q16—591no—
1222C2×Q16C22×D5911yescharacteristic
1223C2×SD16—591no—
1224C2×SD16—591no—
1225C2×SD16—591no—
1226C2×SD16—591no—
1227C2×SD16—591no—
1228C2×SD16—591no—
1229C2×SD16C22×D5911yescharacteristic
1230C2×SD16C22×D5911yescharacteristic
1231C2×SD16C22×D5911yescharacteristic
1232C2×SD16C22×D5911yescharacteristic
1233C2×D8—591no—
1234C2×D8—591no—
1235C2×D8—591no—
1236C2×D8—591no—
1237C2×D8—591no—
1238C2×D8—591no—
1239C2×D8—591no—
1240C2×D8—591no—
1241C2×D8—591no—
1242C2×D8—2362no—
1243C2×D8C22×D5911yescharacteristic
1244C2×D8C22×D5911yescharacteristic
1245C2×D8C22×D5911yescharacteristic
1246C2×M16—591no—
1247C2×M16—591no—
1248C2×M16—591no—
1249C2×M16—591no—
1250C2×M16—591no—
1251C2×M16—591no—
1252C22×C8—591no—
1253C22×C8—591no—
1254C4⋊Q8C22×D5911yescharacteristic
1255#127—591no—
1256#127—1181no—
1257#127—1181no—
1258#127—1181no—
1259#127—1181no—
1260#127C22×D5911yescharacteristic
1261#127C22×D5911yescharacteristic
1262#126—21no—
1263#126—1181no—
1264#126—1181no—
1265#125—591no—
1266#125—1181no—
1267#124—21no—
1268#124—1181no—
1269#124—1181no—
1270#124—1181no—
1271#124—1181no—
1272#124—1181no—
1273#124C22×D5911yescharacteristic
1274#124C22×D5911yescharacteristic
1275#124C22×D5911yescharacteristic
1276#123—21no—
1277#123—591no—
1278#123—591no—
1279#123—1181no—
1280#123—1181no—
1281#123—1181no—
1282#123—1181no—
1283#123—1181no—
1284#123—1181no—
1285#123—1181no—
1286#123—1181no—
1287#123—1181no—
1288#123—1181no—
1289#123—1181no—
1290C22⋊Q8—21no—
1291C22⋊Q8—591no—
1292C22⋊Q8—591no—
1293C22⋊Q8—591no—
1294C22⋊Q8—591no—
1295C22⋊Q8—591no—
1296C22⋊Q8—591no—
1297C22⋊Q8—1181no—
1298C22⋊Q8—1181no—
1299C22⋊Q8—1181no—
1300C22⋊Q8—1181no—
1301C22⋊Q8—1181no—
1302C22⋊Q8C22×D5911yescharacteristic
1303#121—21no—
1304#121—21no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—591no—
1310#121—591no—
1311#121—591no—
1312#121—591no—
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—1181no—
1322#121—1181no—
1323#121—1181no—
1324#121—1181no—
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#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121C22×D5911yescharacteristic
1351#120—21no—
1352#120—21no—
1353#120—591no—
1354#120—591no—
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×Q8C22×D5911yescharacteristic
1371C4×D4—591no—
1372C4×D4—591no—
1373C4×D4—591no—
1374C4×D4—591no—
1375C4×D4—591no—
1376C4×D4—591no—
1377C4×D4—591no—
1378C4×D4—591no—
1379C4×D4—1181no—
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×D4C22×D5911yescharacteristic
1390#117—591no—
1391#117—591no—
1392#117—1181no—
1393#117—1181no—
1394#117—1181no—
1395#117C22×D5911yescharacteristic
1396C2×C4⋊C4—591no—
1397C2×C4⋊C4—591no—
1398C2×C4⋊C4—591no—
1399C2×C4⋊C4—1181no—
1400C2×C22⋊C4—1181no—
1401C2×C22⋊C4—1181no—
1402C2×C22⋊C4—1181no—
1403C2×C22⋊C4—1181no—
1404C2×C22⋊C4—1181no—
1405C2×C22⋊C4—1181no—
1406#107—591no—
1407#107—591no—
1408#106—591no—
1409#106—591no—
1410#106—591no—
1411#106—591no—
1412#106—591no—
1413#106—591no—
1414C4⋊C8—591no—
1415C4⋊C8—591no—
1416C4⋊C8C22×D5911yescharacteristic
1417C4⋊C8C22×D5911yescharacteristic
1418#103—591no—
1419#103—591no—
1420#103—591no—
1421#103—591no—
1422#103—591no—
1423#103—591no—
1424#103—591no—
1425#103—591no—
1426#103C22×D5911yescharacteristic
1427#103C22×D5911yescharacteristic
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⋊C8—591no—
1459C22⋊C8—591no—
1460C22⋊C8C22×D5911yescharacteristic
1461C22⋊C8C22×D5911yescharacteristic
1462#97—591no—
1463#97C22×D5911yescharacteristic
1464C4×C8—591no—
1465C4×C8C22×D5911yescharacteristic
1466C24—21no—
1467C24—591no—
1468C24—1181no—
1469C24—1181no—
1470C24—1181no—
1471C24—1181no—
1472C24—1181no—
1473#41—41no—
1474#41—41no—
1475#41—1182no—
1476#41—1182no—
1477#41—1182no—
1478#41—1182no—
1479#41—1182no—
1480#41—1182no—
1481#41—4722no—
1482#41—2361no—
1483#41—2361no—
1484#41—2364no—
1485#41—2361no—
1486#41—2361no—
1487#41—2361no—
1488#41—2361no—
1489#41—2361no—
1490#41—2361no—
1491#41—2361no—
1492#41—2364no—
1493#41—2361no—
1494#41—2364no—
1495C2×Q8—21no—
1496C2×Q8—591no—
1497C2×Q8—591no—
1498C2×Q8—1181no—
1499C2×Q8—1182no—
1500C2×Q8—2361no—
1501C2×Q8C23×D5911yescharacteristic
1502C2×Q8C23×D5911yescharacteristic
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—41no—
1511C2×D4—41no—
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—1181no—
1523C2×D4—1181no—
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—1182no—
1535C2×D4—1182no—
1536C2×D4—1182no—
1537C2×D4—1181no—
1538C2×D4—1181no—
1539C2×D4—1181no—
1540C2×D4—1181no—
1541C2×D4—1181no—
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—4722no—
1554C2×D4—4722no—
1555C2×D4—4722no—
1556C2×D4—4722no—
1557C2×D4—4722no—
1558C2×D4—2361no—
1559C2×D4—2361no—
1560C2×D4—2361no—
1561C2×D4—2361no—
1562C2×D4—2361no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2364no—
1566C2×D4—2364no—
1567C2×D4—2364no—
1568C2×D4—2364no—
1569C2×D4C23×D5911yescharacteristic
1570C2×D4C23×D5911yescharacteristic
1571C2×D4C23×D5911yescharacteristic
1572C2×D4C23×D5911yescharacteristic
1573C22×C4—21no—
1574C22×C4—21no—
1575C22×C4—591no—
1576C22×C4—591no—
1577C22×C4—591no—
1578C22×C4—591no—
1579C22×C4—591no—
1580C22×C4—591no—
1581C22×C4—591no—
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—2361no—
1598C22×C4—2361no—
1599C22×C4—2364no—
1600C22×C4C23×D5911yescharacteristic
1601Q16—41no—
1602Q16—1182no—
1603SD16—41no—
1604SD16—41no—
1605SD16—41no—
1606SD16—41no—
1607SD16—1182no—
1608SD16—1182no—
1609SD16—1182no—
1610SD16—1182no—
1611SD16—2361no—
1612SD16—2361no—
1613D8—41no—
1614D8—41no—
1615D8—41no—
1616D8—1182no—
1617D8—1182no—
1618D8—1182no—
1619D8—2361no—
1620D8—2361no—
1621D8—2361no—
1622D8—2361no—
1623D8—2361no—
1624D8—2361no—
1625M16—2361no—
1626M16—2361no—
1627M16—2361no—
1628M16—2361no—
1629M16—2361no—
1630M16—2361no—
1631C2×C8—591no—
1632C2×C8—591no—
1633C2×C8—591no—
1634C2×C8—591no—
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—591no—
1651C4⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1664C4⋊C4D4×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—
1706C22⋊C4—1181no—
1707C22⋊C4—1181no—
1708C22⋊C4D4×D5911yescharacteristic
1709C22⋊C4D4×D5911yescharacteristic
1710C42—21no—
1711C42—1181no—
1712C42—1181no—
1713C42—1181no—
1714C42—1181no—
1715C42C23×D5911yescharacteristic
1716C42C23×D5911yescharacteristic
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—21no—
1721C23—42no—
1722C23—81no—
1723C23—81no—
1724C23—591no—
1725C23—591no—
1726C23—591no—
1727C23—591no—
1728C23—1181no—
1729C23—1181no—
1730C23—1181no—
1731C23—4721no—
1732C23—4721no—
1733C23—4721no—
1734C23—4721no—
1735C23—4721no—
1736C23—4721no—
1737C23—4721no—
1738C23—4721no—
1739C23—4721no—
1740C23—4721no—
1741C23—2361no—
1742C23—2361no—
1743C23—2361no—
1744C23—2362no—
1745C23—2362no—
1746C23—2362no—
1747C23—2362no—
1748C23—2362no—
1749C23C2×D4×D5911yescharacteristic
1750Q8—21no—
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—81no—
1755Q8—592no—
1756Q8—1181no—
1757Q8—2361no—
1758Q8—2362no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—42no—
1768D4—42no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—592no—
1775D4—1184no—
1776D4—1181no—
1777D4—1181no—
1778D4—1181no—
1779D4—1181no—
1780D4—1181no—
1781D4—4721no—
1782D4—4721no—
1783D4—4721no—
1784D4—4721no—
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—2361no—
1799D4—2361no—
1800D4—2361no—
1801D4—2361no—
1802D4—2361no—
1803D4—2362no—
1804D4—2362no—
1805D4—2361no—
1806D4—2361no—
1807D4—2362no—
1808D4—2362no—
1809D4—2362no—
1810D4—2362no—
1811D4—2362no—
1812D4—2362no—
1813D4—2362no—
1814D4—2362no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—42no—
1822C2×C4—81no—
1823C2×C4—591no—
1824C2×C4—591no—
1825C2×C4—591no—
1826C2×C4—591no—
1827C2×C4—1184no—
1828C2×C4—1181no—
1829C2×C4—1181no—
1830C2×C4—1181no—
1831C2×C4—1181no—
1832C2×C4—1181no—
1833C2×C4—1181no—
1834C2×C4—1181no—
1835C2×C4—1181no—
1836C2×C4—1181no—
1837C2×C4—1181no—
1838C2×C4—1181no—
1839C2×C4—1181no—
1840C2×C4—1181no—
1841C2×C4—4721no—
1842C2×C4—4721no—
1843C2×C4—4721no—
1844C2×C4—4721no—
1845C2×C4—4721no—
1846C2×C4—4721no—
1847C2×C4—4721no—
1848C2×C4—4721no—
1849C2×C4—2361no—
1850C2×C4—2361no—
1851C2×C4—2362no—
1852C2×C4—2362no—
1853C2×C4—2362no—
1854C2×C4—2361no—
1855C2×C4—2362no—
1856C2×C4—2362no—
1857C2×C4—2362no—
1858C2×C4C2×D4×D5911yescharacteristic
1859C2×C4C2×D4×D5911yescharacteristic
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—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—41no—
1887C22—162no—
1888C22—1181no—
1889C22—1182no—
1890C22—1181no—
1891C22—1181no—
1892C22—1181no—
1893C22—1181no—
1894C22—1181no—
1895C22—1181no—
1896C22—1181no—
1897C22—1181no—
1898C22—1181no—
1899C22—1181no—
1900C22—1181no—
1901C22—9442no—
1902C22—9442no—
1903C22—9442no—
1904C22—9442no—
1905C22—4722no—
1906C22—4724no—
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—21no—
1920C4—21no—
1921C4—41no—
1922C4—41no—
1923C4—41no—
1924C4—41no—
1925C4—1181no—
1926C4—1181no—
1927C4—1181no—
1928C4—1181no—
1929C4—1182no—
1930C4—2361no—
1931C4—2361no—
1932C4—2361no—
1933C4—2361no—
1934C4H(5,𝔽2)×D5911yescharacteristic
1935C4H(5,𝔽2)×D5911yescharacteristic
1936C2—41no—
1937C2—81no—
1938C2—81no—
1939C2—81no—
1940C2—81no—
1941C2—4721no—
1942C2—4721no—
1943C2—2361no—
1944C2—2361no—
1945C2—2361no—
1946C2—2361no—
1947C2—2362no—
1948C2#2143773011yescharacteristic
1949C2#2143887111yescharacteristic
1950C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3224C2
socleC22×C59C23×D4
hypercenter#3224D59
hypocenterC59#61653
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #21438408C2semidirect
2. #21437763C2semidirect
3. #21436422C2semidirect
4. #21436356C2semidirect
5. #21436337C2semidirect
6. #21436319C2semidirect
7. #21436281C2semidirect
8. #21436244C2semidirect
9. #21436229C2semidirect
10. #21436056C2semidirect
11. #21435726C2semidirect
12. #21435719C2semidirect
13. #21435711C2semidirect
14. #21435705C2semidirect
15. #21435687C2semidirect
16. #21435635C2semidirect
17. #21435582C2semidirect
18. #21435575C2semidirect
19. #21435146C2semidirect
20. #21435004C2semidirect
21. #21434945C2semidirect
22. #21434913C2semidirect
23. #21434894C2semidirect
24. #21434367C2semidirect
25. #21434297C2semidirect
26. #21433401C2semidirect
27. #21433359C2semidirect
28. #21433345C2semidirect
29. #21433339C2semidirect
30. #21433157C2semidirect
31. C59×#3224C2semidirect
32. C2×#14273772C22semidirect
33. C2×#41×D59C22semidirect
34. C2×#14273759C22semidirect
35. C2×#14273754C22semidirect
36. C2×#14273754C22semidirect
37. C2×#14273754C22semidirect
38. C2×#14273751C22semidirect
39. C2×#14273751C22semidirect
40. C2×#14273748C22semidirect
41. C2×D8×D59C22semidirect
44. #16838118C22semidirect
45. #16838102C22semidirect
46. #16838093C22semidirect
48. #16838074C22semidirect
50. #16838072C22semidirect
51. #16838060C22semidirect
52. #16838060C22semidirect
53. #16838055C22semidirect
55. #16838045C22semidirect
56. #16838045C22semidirect
57. #16838045C22semidirect
61. D4×D236C22semidirect
62. #16838037C22semidirect
63. #16838037C22semidirect
66. #16838007C22semidirect
69. #16837982C22semidirect
71. #16837980C22semidirect
74. #16837968C22semidirect
76. #16837915C22semidirect
79. C2×#14273698C22semidirect
81. #121×D59C22semidirect
82. #16837882C22semidirect
83. #16837792C22semidirect
84. #16837778C22semidirect
85. #16837766C22semidirect
86. #16837756C22semidirect
87. #16837742C22semidirect
88. #16837731C22semidirect
89. #16837730C22semidirect
90. #16837724C22semidirect
91. #16837724C22semidirect
92. #16837724C22semidirect
93. #16837721C22semidirect
94. #16837719C22semidirect
95. #16837719C22semidirect
96. #16837719C22semidirect
97. #16837718C22semidirect
98. #16837716C22semidirect
99. #16837710C22semidirect
100. #16837703C22semidirect
101. #16837689C22semidirect
102. #16837684C22semidirect
103. #16837657C22semidirect
104. #16837654C22semidirect
105. #16837654C22semidirect
106. #16837654C22semidirect
107. #16837654C22semidirect
108. #16837654C22semidirect
109. #16837654C22semidirect
110. #16837652C22semidirect
111. #16837652C22semidirect
112. #16837645C22semidirect
113. #16837645C22semidirect
114. #16837645C22semidirect
115. #16837635C22semidirect
116. #16837634C22semidirect
117. #16837634C22semidirect
118. #16837628C22semidirect
119. #16837621C22semidirect
120. #16837614C22semidirect
121. #16837614C22semidirect
122. #16837614C22semidirect
123. #16837603C22semidirect
124. #16837598C22semidirect
125. #16837594C22semidirect
126. #16837594C22semidirect
127. #16837563C22semidirect
128. #16837563C22semidirect
129. #16837562C22semidirect
130. #16837561C22semidirect
131. #16837561C22semidirect
132. #16837551C22semidirect
133. #16837551C22semidirect
134. #16837550C22semidirect
135. #16837549C22semidirect
136. #16837549C22semidirect
137. #16837548C22semidirect
138. #16837548C22semidirect
139. #16837548C22semidirect
140. #16837547C22semidirect
141. #16837547C22semidirect
142. #16837546C22semidirect
143. #16837546C22semidirect
144. #16837546C22semidirect
146. #16837544C22semidirect
147. #16837542C22semidirect
148. #16837539C22semidirect
149. #16837537C22semidirect
150. #16837537C22semidirect
151. #16837537C22semidirect
152. #16837536C22semidirect
153. #16837536C22semidirect
154. #16837534C22semidirect
155. #16837534C22semidirect
156. #16837534C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837515C22semidirect
160. #16837512C22semidirect
161. #16837507C22semidirect
162. #16837504C22semidirect
163. C4×#11745660C22semidirect
164. C4×#11745671C22semidirect
165. C4×#11745670C22semidirect
166. C4×D472C22semidirect
167. #16837481C22semidirect
168. #16837481C22semidirect
169. #16837479C22semidirect
170. #16837479C22semidirect
171. #16837475C22semidirect
172. #16837475C22semidirect
173. #16837472C22semidirect
174. #16837472C22semidirect
175. #16837463C22semidirect
176. #16837409C22semidirect
177. #16837405C22semidirect
178. #16837405C22semidirect
179. #16837402C22semidirect
180. #16837400C22semidirect
181. #16837400C22semidirect
182. #16837395C22semidirect
183. #102×D59C22semidirect
184. #16837367C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837364C22semidirect
188. C59×#542C22semidirect
189. C59×#535C22semidirect
190. C59×#496C22semidirect
191. C59×#495C22semidirect
192. C59×#489C22semidirect
193. C59×#486C22semidirect
194. C59×#464C22semidirect
195. C59×#463C22semidirect
196. C59×#460C22semidirect
197. C59×#459C22semidirect
198. C59×#452C22semidirect
199. C59×#450C22semidirect
200. C59×#449C22semidirect
201. C59×#447C22semidirect
202. C59×#433C22semidirect
979. #3224D59semidirect
1041. #542C2×D59semidirect
1051. #535C2×D59semidirect
1061. #496C2×D59semidirect
1062. #495C2×D59semidirect
1065. #489C2×D59semidirect
1067. #486C2×D59semidirect
1101. #464C2×D59semidirect
1105. #463C2×D59semidirect
1107. #460C2×D59semidirect
1111. #459C2×D59semidirect
1117. #452C2×D59semidirect
1120. #450C2×D59semidirect
1134. #449C2×D59semidirect
1147. #447C2×D59semidirect
1165. #433C2×D59semidirect
1178. C59#61653semidirect

Maximal subgroups

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

subgroupindex
#214384082
#214377632
#214364222
#214363562
#214363372
#214363192
#214362812
#214362442
#214362292
#214360562
#214357262
#214357192
#214357112
#214357052
#214356872
#214356352
#214355822
#214355752
#214351462
#214350042
#214349452
#214349132
#214348942
#214343672
#214342972
#214334012
#214333592
#214333452
#214333392
#214331572
C59×#32242
#6165359