Finite Group Databasebeta

← #29475968

Subgroups — #29475968

Order 15104.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438485C211yesmaximal, characteristic, complemented
2#21436364C211yesmaximal, characteristic, complemented
3#21436312C211yesmaximal, characteristic, complemented
4#21436282C211yesmaximal, characteristic, complemented
5#21436252C211yesmaximal, characteristic, complemented
6#21436207C211yesmaximal, characteristic, complemented
7#21436177C211yesmaximal, characteristic, complemented
8#21435983C211yesmaximal, characteristic, complemented
9#21435931C211yesmaximal, characteristic, complemented
10#21435833C211yesmaximal, characteristic, complemented
11#21435799C211yesmaximal, characteristic, complemented
12#21435749C211yesmaximal, characteristic, complemented
13#21435723C211yesmaximal, characteristic, complemented
14#21435662C211yesmaximal, characteristic, complemented
15#21435652C211yesmaximal, characteristic, complemented
16#21435617C211yesmaximal, characteristic, complemented
17#21435602C211yesmaximal, characteristic, complemented
18#21435099C211yesmaximal, characteristic, complemented
19#21435061C211yesmaximal, characteristic, complemented
20#21434987C211yesmaximal, characteristic, complemented
21#21434978C211yesmaximal, characteristic, complemented
22#21434968C211yesmaximal, characteristic, complemented
23#21434948C211yesmaximal, characteristic, complemented
24#21434205C211yesmaximal, characteristic, complemented
25#21434167C211yesmaximal, characteristic, complemented
26#21433411C211yesmaximal, characteristic, complemented
27#21433400C211yesmaximal, characteristic, complemented
28#21433391C211yesmaximal, characteristic, complemented
29#21433373C211yesmaximal, characteristic, complemented
30#21433172C211yesmaximal, characteristic, complemented
31C59×#3500C211yesmaximal, characteristic, complemented
32C2×#14273758C2211yescharacteristic, complemented
33C2×#14273757C2211yescharacteristic
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic
36C2×#14273747C2211yescharacteristic
37C2×#14273747C2211yescharacteristic, complemented
38C22×#11745672C2211yescharacteristic, complemented
39C22×#11745670C2211yescharacteristic
40#16838147—21no—
41#16838147—21no—
42#16838117C2211yescharacteristic, complemented
43#16838116—21no—
44#16838109C2211yescharacteristic, complemented
45#16838099—21no—
46#16838092C2211yescharacteristic, complemented
47#16838092C2211yescharacteristic, complemented
48D4×Dic118C2211yescharacteristic, complemented
49#16838061C2211yescharacteristic, complemented
50#16838061C2211yescharacteristic, complemented
51#16838057C2211yescharacteristic, complemented
52#16838029—21no—
53#16838016—21no—
54#16838016—21no—
55#16838006—21no—
56#16837980C2211yescharacteristic
57#16837980C2211yescharacteristic, complemented
58#16837973C2211yescharacteristic
59#16837973C2211yescharacteristic, complemented
60#16837959C2211yescharacteristic, complemented
61#16837936C2211yescharacteristic, complemented
62#16837797C2211yescharacteristic, complemented
63#16837797C2211yescharacteristic, complemented
64#16837784C2211yescharacteristic, complemented
65#16837784C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic, complemented
67#16837761C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837756C2211yescharacteristic, complemented
70#16837743C2211yescharacteristic, complemented
71#16837743C2211yescharacteristic, complemented
72#16837743C2211yescharacteristic, complemented
73#16837740C2211yescharacteristic, complemented
74#16837740C2211yescharacteristic, complemented
75#16837735C2211yescharacteristic, complemented
76#16837730C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic, complemented
79#16837723C2211yescharacteristic, complemented
80#16837718C2211yescharacteristic, complemented
81#16837713C2211yescharacteristic, complemented
82#16837709C2211yescharacteristic, complemented
83#16837702C2211yescharacteristic, complemented
84#16837687C2211yescharacteristic, complemented
85#16837682C2211yescharacteristic, complemented
86#16837658C2211yescharacteristic, complemented
87#16837658C2211yescharacteristic, complemented
88#16837658C2211yescharacteristic, complemented
89#16837653C2211yescharacteristic, complemented
90#16837650C2211yescharacteristic, complemented
91#16837646C2211yescharacteristic, complemented
92#16837646C2211yescharacteristic, complemented
93#16837646C2211yescharacteristic, complemented
94#16837641C2211yescharacteristic, complemented
95#16837641C2211yescharacteristic, complemented
96#16837641C2211yescharacteristic, complemented
97#16837636C2211yescharacteristic, complemented
98#16837633C2211yescharacteristic, complemented
99#16837629C2211yescharacteristic, complemented
100#16837629C2211yescharacteristic, complemented
101#16837629C2211yescharacteristic, complemented
102#16837624C2211yescharacteristic, complemented
103#16837621C2211yescharacteristic, complemented
104#16837621C2211yescharacteristic, complemented
105#16837621C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic, complemented
107#16837621C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic, complemented
110#16837614C2211yescharacteristic, complemented
111#16837614C2211yescharacteristic, complemented
112#16837612C2211yescharacteristic, complemented
113#16837607C2211yescharacteristic, complemented
114#16837564C2211yescharacteristic
115#16837564C2211yescharacteristic
116#16837564C2211yescharacteristic
117#16837564C2211yescharacteristic
118#16837564C2211yescharacteristic
119#16837564C2211yescharacteristic
120#16837564C2211yescharacteristic, complemented
121#16837564C2211yescharacteristic, complemented
122#16837564C2211yescharacteristic, complemented
123#16837562C2211yescharacteristic, complemented
124#16837562C2211yescharacteristic, complemented
125#16837558C2211yescharacteristic, complemented
126#16837558C2211yescharacteristic, complemented
127#16837558C2211yescharacteristic, complemented
128#16837558C2211yescharacteristic, complemented
129#16837558C2211yescharacteristic, complemented
130#16837558C2211yescharacteristic, complemented
131#16837557C2211yescharacteristic, complemented
132#16837557C2211yescharacteristic, complemented
133#16837553C2211yescharacteristic
134#16837553C2211yescharacteristic
135#16837553C2211yescharacteristic
136#16837553C2211yescharacteristic
137#16837553C2211yescharacteristic
138#16837553C2211yescharacteristic
139#16837547C2211yescharacteristic
140#16837547C2211yescharacteristic
141#16837547C2211yescharacteristic, complemented
142#16837545C2211yescharacteristic, complemented
143#16837545C2211yescharacteristic, complemented
144#16837541C2211yescharacteristic, complemented
145#16837541C2211yescharacteristic, complemented
146#16837540C2211yescharacteristic, complemented
147#16837540C2211yescharacteristic, complemented
148#16837536C2211yescharacteristic
149#16837536C2211yescharacteristic
150#16837512C2211yescharacteristic, complemented
151#16837507C2211yescharacteristic, complemented
152#16837502C2211yescharacteristic, complemented
153#16837500C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156C4×#11745670C2211yescharacteristic, complemented
157C4×#11745670C2211yescharacteristic, complemented
158#16837480C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837474C2211yescharacteristic, complemented
161#16837474C2211yescharacteristic, complemented
162#16837474C2211yescharacteristic, complemented
163#16837474C2211yescharacteristic, complemented
164D4×C59⋊C8C2211yescharacteristic, complemented
165D4×C59⋊C8C2211yescharacteristic, complemented
166#16837459C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837411C2211yescharacteristic, complemented
169#16837407C2211yescharacteristic
170#16837403C2211yescharacteristic
171#16837403C2211yescharacteristic, complemented
172#16837398C2211yescharacteristic
173#16837398C2211yescharacteristic, complemented
174C2×#14273651C2211yescharacteristic, complemented
175C2×#14273648C2211yescharacteristic
176#16837369C2211yescharacteristic
177#16837369C2211yescharacteristic
178#16837369C2211yescharacteristic, complemented
179#16837369C2211yescharacteristic, complemented
180C2×2−1+4×C59C2211yescharacteristic
181C2×H(5,𝔽2)×C59C2211yescharacteristic
182C59×#548C2211yescharacteristic
183C59×#548C2211yescharacteristic
184C59×#548C2211yescharacteristic
185C59×#548C2211yescharacteristic
186C59×#546—21no—
187C59×#546—21no—
188C59×#546—21no—
189C59×#546—21no—
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic
192C59×#546C2211yescharacteristic
193C59×#546C2211yescharacteristic
194C59×#536—21no—
195C59×#536C2211yescharacteristic
196C59×#535—21no—
197C59×#535C2211yescharacteristic
198C59×#532—21no—
199C59×#532C2211yescharacteristic
200C2×#124×C59—21no—
201C2×#124×C59C2211yescharacteristic
202C4×#41×C59C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745685C2311yescharacteristic
205C22×Dic118C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207#14273758—42no—
208#14273757—42no—
209#14273757—42no—
210#14273753—42no—
211#14273747—42no—
212#14273747—42no—
213C2×#11745672—42no—
214C2×#11745672C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745672C2311yescharacteristic
218C2×#11745672C2311yescharacteristic
219C2×#11745672C2311yescharacteristic
220C2×#11745672C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745670—42no—
224C2×#11745670C2311yescharacteristic
225C2×#11745670C2311yescharacteristic
226C2×#11745670C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745670C2311yescharacteristic
230C2×#11745670C2311yescharacteristic
231C2×#11745670C2311yescharacteristic
232C2×#11745670C2311yescharacteristic
233C2×#11745671C2311yescharacteristic
234C2×#11745671C2311yescharacteristic
235C2×#11745671C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745664C2311yescharacteristic
240C2×#11745664C2311yescharacteristic
241C2×#11745664C2311yescharacteristic
242C2×#11745664C2311yescharacteristic
243C22×C59⋊C8C2311yescharacteristic
244C22×C59⋊C8C2311yescharacteristic
245C22×C59⋊C8C2311yescharacteristic
246C22×C59⋊C8C2311yescharacteristic
247#14273727C2311yescharacteristic
248#14273727C2311yescharacteristic
249#14273726—21no—
250#14273725—21no—
251#14273725—21no—
252#14273721—21no—
253#14273720—21no—
254#14273720—21no—
255#14273719—21no—
256#14273719C2311yescharacteristic
257#14273718—21no—
258#14273717—21no—
259#14273717—21no—
260#14273715C2311yescharacteristic
261#14273714—21no—
262#14273714—21no—
263#14273713—21no—
264#14273713—21no—
265#14273713—21no—
266#14273713—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273708—21no—
271#14273708—21no—
272#14273708—21no—
273#14273708—21no—
274#14273708—21no—
275#14273708—21no—
276#14273706—21no—
277#14273706C2311yescharacteristic
278#14273706C2311yescharacteristic
279#14273706C2311yescharacteristic
280#14273706C2311yescharacteristic
281#14273706C2311yescharacteristic
282#14273706C2311yescharacteristic
283#14273706C2311yescharacteristic
284#14273706C2311yescharacteristic
285#14273706C2311yescharacteristic
286#14273705—21no—
287#14273705—21no—
288#14273704—21no—
289#14273704—21no—
290#14273704—21no—
291#14273704—21no—
292#14273703—21no—
293#14273703—21no—
294#14273701C2311yescharacteristic
295#14273701C2311yescharacteristic
296#14273701C2311yescharacteristic
297#14273699—21no—
298#14273699—21no—
299#14273699—21no—
300#14273699—21no—
301#14273699—21no—
302#14273699—21no—
303#14273698—21no—
304#14273698—21no—
305#14273698—21no—
306#14273698—21no—
307C4×Dic118—21no—
308C4×Dic118C2311yescharacteristic
309C4×Dic118C2311yescharacteristic
310C4×Dic118C2311yescharacteristic
311C4×D236C2311yescharacteristic
312D4×Dic59—21no—
313D4×Dic59—21no—
314C4×C22⋊D59—21no—
315(C22⋊D59)⋊C4—21no—
316(C22⋊D59)⋊C4—21no—
317#14273686—21no—
318#14273686C2311yescharacteristic
319#14273686C2311yescharacteristic
320#14273685—21no—
321#14273684—21no—
322#14273683—21no—
323#14273683—21no—
324C2×C4⋊Dic59C2311yescharacteristic
325C2×C4⋊Dic59C2311yescharacteristic
326C4⋊C4×D59—21no—
327#14273660C2311yescharacteristic
328#14273660C2311yescharacteristic
329#14273660C2311yescharacteristic
330#14273660C2311yescharacteristic
331#14273658C2311yescharacteristic
332#14273658C2311yescharacteristic
333#14273658C2311yescharacteristic
334#14273658C2311yescharacteristic
335C4⋊(C59⋊C8)C2311yescharacteristic
336C4⋊(C59⋊C8)C2311yescharacteristic
337C4⋊(C59⋊C8)C2311yescharacteristic
338C4⋊(C59⋊C8)C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
342#14273651C2311yescharacteristic
343#14273651C2311yescharacteristic
344#14273651C2311yescharacteristic
345#14273651C2311yescharacteristic
346#14273651C2311yescharacteristic
347#14273651C2311yescharacteristic
348#14273651C2311yescharacteristic
349#14273651C2311yescharacteristic
350#14273651C2311yescharacteristic
351#14273650C2311yescharacteristic
352#14273650C2311yescharacteristic
353#14273650C2311yescharacteristic
354#14273650C2311yescharacteristic
355#14273650C2311yescharacteristic
356#14273650C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273648C2311yescharacteristic
363#14273648C2311yescharacteristic
364#14273648C2311yescharacteristic
365#14273648C2311yescharacteristic
366#14273648C2311yescharacteristic
367#14273648C2311yescharacteristic
368#14273648C2311yescharacteristic
369#14273647C2311yescharacteristic
370#14273647C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372C22⋊(C59⋊C8)C2311yescharacteristic
373C22⋊(C59⋊C8)C2311yescharacteristic
374C22⋊(C59⋊C8)C2311yescharacteristic
375C22⋊(C59⋊C8)C2311yescharacteristic
376C22⋊(C59⋊C8)C2311yescharacteristic
377C22⋊(C59⋊C8)C2311yescharacteristic
378C22⋊(C59⋊C8)C2311yescharacteristic
379C22⋊(C59⋊C8)C2311yescharacteristic
380C22⋊(C59⋊C8)C2311yescharacteristic
381C22⋊(C59⋊C8)C2311yescharacteristic
382C22⋊(C59⋊C8)C2311yescharacteristic
383#14273638C2311yescharacteristic
384#14273638C2311yescharacteristic
385C4×C59⋊C8C2311yescharacteristic
386C4×C59⋊C8C2311yescharacteristic
3872−1+4×C59—42no—
3882−1+4×C59—42no—
389H(5,𝔽2)×C59—42no—
390H(5,𝔽2)×C59—42no—
391C2×#41×C59—21no—
392C2×#41×C59—21no—
393C2×#41×C59—21no—
394C2×#41×C59—21no—
395C2×#41×C59C2311yescharacteristic
396C2×#41×C59C2311yescharacteristic
397C2×#41×C59C2311yescharacteristic
398C2×#41×C59C2311yescharacteristic
399C2×#41×C59C2311yescharacteristic
400C2×#41×C59C2311yescharacteristic
401C2×#41×C59C2311yescharacteristic
402C22×Q8×C59—21no—
403C22×Q8×C59C2311yescharacteristic
404C22×Q8×C59C2311yescharacteristic
405C22×Q8×C59C2311yescharacteristic
406C22×D4×C59—21no—
407C22×D4×C59—21no—
408C22×D4×C59—21no—
409C22×D4×C59C2311yescharacteristic
410C22×D4×C59C2311yescharacteristic
411C22×D4×C59C2311yescharacteristic
412C4⋊Q8×C59—21no—
413C4⋊Q8×C59D411yescharacteristic
414#127×C59—21no—
415#127×C59D411yescharacteristic
416#124×C59—21no—
417#124×C59—21no—
418#124×C59—21no—
419#124×C59—21no—
420#124×C59—21no—
421#124×C59—21no—
422#124×C59—21no—
423#124×C59—21no—
424#124×C59D411yescharacteristic
425#124×C59D411yescharacteristic
426#124×C59C2311yescharacteristic
427#124×C59C2311yescharacteristic
428#124×C59C2311yescharacteristic
429#124×C59C2311yescharacteristic
430#123×C59—21no—
431#123×C59—21no—
432#123×C59—21no—
433#123×C59—21no—
434#123×C59—21no—
435#123×C59—21no—
436C22⋊Q8×C59—21no—
437C22⋊Q8×C59—21no—
438C22⋊Q8×C59—21no—
439C22⋊Q8×C59—21no—
440C22⋊Q8×C59C2311yescharacteristic
441C22⋊Q8×C59C2311yescharacteristic
442C22⋊Q8×C59C2311yescharacteristic
443C22⋊Q8×C59C2311yescharacteristic
444#121×C59—21no—
445#121×C59—21no—
446#121×C59—21no—
447#121×C59—21no—
448#121×C59—21no—
449#121×C59—21no—
450#121×C59—21no—
451#121×C59—21no—
452#121×C59D411yescharacteristic
453#121×C59D411yescharacteristic
454#121×C59D411yescharacteristic
455#121×C59D411yescharacteristic
456#121×C59C2311yescharacteristic
457#121×C59C2311yescharacteristic
458#121×C59C2311yescharacteristic
459#121×C59C2311yescharacteristic
460#120×C59—21no—
461#120×C59—21no—
462#120×C59—21no—
463#120×C59—21no—
464#120×C59—21no—
465#120×C59—21no—
466C4×Q8×C59C2311yescharacteristic
467C4×Q8×C59C2311yescharacteristic
468C4×D4×C59—21no—
469C4×D4×C59—21no—
470C4×D4×C59—21no—
471C4×D4×C59—21no—
472C4×D4×C59—21no—
473C4×D4×C59—21no—
474C4×D4×C59C2311yescharacteristic
475C4×D4×C59C2311yescharacteristic
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479C4×D4×C59C2311yescharacteristic
480#117×C59—21no—
481#117×C59C2311yescharacteristic
482C2×C22⋊C4×C59—21no—
483C2×C22⋊C4×C59—21no—
484C2×C22⋊C4×C59—21no—
485C2×C22⋊C4×C59—21no—
486C2×C22⋊C4×C59—21no—
487C2×C22⋊C4×C59—21no—
488C2×C42×C59—21no—
489C2×C42×C59C2311yescharacteristic
490C24×C59—21no—
491C24×C59—21no—
492C24×C59—21no—
493#41×C59—22no—
494#41×C59—22no—
495#41×C59—22no—
496#41×C59—22no—
497#41×C59—22no—
498#41×C59—22no—
499#41×C59—41no—
500#41×C59—41no—
501#41×C59—41no—
502#41×C59—41no—
503#41×C59—41no—
504#41×C59—41no—
505#41×C59—41no—
506#41×C59—41no—
507#41×C59—44no—
508#41×C59—44no—
509#41×C59—44no—
510#41×C59—44no—
511C2×Q8×C59—21no—
512C2×Q8×C59—21no—
513C2×Q8×C59—21no—
514C2×Q8×C59—22no—
515C2×Q8×C59—22no—
516C2×Q8×C59—41no—
517C2×Q8×C59—41no—
518C2×Q8×C59—41no—
519C2×Q8×C59—41no—
520C2×Q8×C59—44no—
521C2×Q8×C59C2×D411yescharacteristic
522C2×Q8×C59C2×D411yescharacteristic
523C2×Q8×C59C2411yescharacteristic
524C2×Q8×C59C2411yescharacteristic
525C2×Q8×C59C2411yescharacteristic
526C2×D4×C59—21no—
527C2×D4×C59—22no—
528C2×D4×C59—22no—
529C2×D4×C59—21no—
530C2×D4×C59—21no—
531C2×D4×C59—21no—
532C2×D4×C59—21no—
533C2×D4×C59—21no—
534C2×D4×C59—21no—
535C2×D4×C59—21no—
536C2×D4×C59—21no—
537C2×D4×C59—21no—
538C2×D4×C59—21no—
539C2×D4×C59—21no—
540C2×D4×C59—41no—
541C2×D4×C59—41no—
542C2×D4×C59—41no—
543C2×D4×C59—41no—
544C2×D4×C59—44no—
545C2×D4×C59—44no—
546C2×D4×C59—44no—
547C2×D4×C59C2×D411yescharacteristic
548C2×D4×C59C2×D411yescharacteristic
549C2×D4×C59C2×D411yescharacteristic
550C2×D4×C59C2×D411yescharacteristic
551C2×D4×C59C2×D411yescharacteristic
552C2×D4×C59C2×D411yescharacteristic
553C2×D4×C59C2×D411yescharacteristic
554C2×D4×C59C2×D411yescharacteristic
555C2×D4×C59C2×D411yescharacteristic
556C2×D4×C59C2×D411yescharacteristic
557C2×D4×C59C2411yescharacteristic
558C2×D4×C59C2411yescharacteristic
559C2×D4×C59C2411yescharacteristic
560C22×C4×C59—21no—
561C22×C4×C59—21no—
562C22×C4×C59—21no—
563C22×C4×C59—21no—
564C22×C4×C59—21no—
565C22×C4×C59—21no—
566C22×C4×C59—21no—
567C22×C4×C59—21no—
568C22×C4×C59—21no—
569C22×C4×C59—21no—
570C22×C4×C59C2×D411yescharacteristic
571C22×C4×C59C2×D411yescharacteristic
572C22×C4×C59C2411yescharacteristic
573C22×C4×C59C2411yescharacteristic
574C22×C4×C59C2411yescharacteristic
575C22×C4×C59C2411yescharacteristic
576C22×C4×C59C2411yescharacteristic
577C2×C22⋊D59—21no—
578C2×C22⋊D59—21no—
579C2×C22⋊D59—21no—
580C2×C22⋊D59—21no—
581C2×C22⋊D59—21no—
582C22×Dic59—21no—
583C22×Dic59—21no—
584C22×Dic59—21no—
585C22×Dic59—21no—
586#11745685—41no—
587#11745685—41no—
588#11745685—41no—
589#11745685—41no—
590C2×D236C2411yescharacteristic
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—21no—
594C2×Dic118—21no—
595C2×Dic118—21no—
596C2×Dic118—21no—
597C2×Dic118—41no—
598C2×Dic118—41no—
599C2×Dic118—41no—
600C2×Dic118—41no—
601C2×Dic118C2411yescharacteristic
602C2×Dic118C2411yescharacteristic
603C2×Dic118C2411yescharacteristic
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59C2×D411yescharacteristic
611C4⋊C4×C59C2×D411yescharacteristic
612C4⋊C4×C59C2×D411yescharacteristic
613C4⋊C4×C59C2×D411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59C2×D411yescharacteristic
636C22⋊C4×C59C2×D411yescharacteristic
637C22⋊C4×C59C2×D411yescharacteristic
638C22⋊C4×C59C2×D411yescharacteristic
639C22⋊C4×C59C2×D411yescharacteristic
640C22⋊C4×C59C2×D411yescharacteristic
641C22⋊C4×C59C2×D411yescharacteristic
642C22⋊C4×C59C2×D411yescharacteristic
643C42×C59—21no—
644C42×C59—21no—
645C42×C59—21no—
646C42×C59C2×D411yescharacteristic
647C42×C59C2×D411yescharacteristic
648C42×C59C2411yescharacteristic
649C42×C59C2411yescharacteristic
650C22⋊Dic59—21no—
651C22⋊Dic59—21no—
652C22⋊Dic59—21no—
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661#11745672—22no—
662#11745672—22no—
663#11745672—22no—
664#11745672—41no—
665#11745672—41no—
666#11745672—41no—
667#11745672—41no—
668#11745672—41no—
669#11745672—41no—
670#11745671—22no—
671#11745671—41no—
672#11745671—41no—
673#11745670—22no—
674#11745670—22no—
675#11745670—22no—
676#11745670—41no—
677#11745670—41no—
678#11745670—41no—
679#11745670—41no—
680#11745670—41no—
681#11745670—41no—
682#11745669—22no—
683#11745669—41no—
684#11745669—41no—
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—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59—21no—
696C4⋊Dic59C2411yescharacteristic
697C4⋊Dic59C2411yescharacteristic
698C4⋊Dic59C2411yescharacteristic
699C4⋊Dic59C2411yescharacteristic
700Dic59⋊C4—21no—
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⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719#11745664—41no—
720#11745664—41no—
721#11745664—41no—
722#11745664—41no—
723C2×C59⋊C8—41no—
724C2×C59⋊C8—41no—
725C2×C59⋊C8—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734C2×C59⋊C8C2411yescharacteristic
735C23×C59—21no—
736C23×C59—21no—
737C23×C59—21no—
738C23×C59—42no—
739C23×C59—42no—
740C23×C59—42no—
741C23×C59—81no—
742C23×C59—81no—
743C23×C59—81no—
744C23×C59—81no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C23×C59C22×D411yescharacteristic
750C23×C59C22×D411yescharacteristic
751C23×C59C22×D411yescharacteristic
752C22×D59—21no—
753Q8×C59—21no—
754Q8×C59—21no—
755Q8×C59—21no—
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—41no—
759Q8×C59—41no—
760Q8×C59—42no—
761Q8×C59—42no—
762Q8×C59—42no—
763Q8×C59H(5,𝔽2)12yes—
764D4×C59—24no—
765D4×C59—21no—
766D4×C59—21no—
767D4×C59—21no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—41no—
771D4×C59—41no—
772D4×C59—41no—
773D4×C59—41no—
774D4×C59—41no—
775D4×C59—41no—
776D4×C59—41no—
777D4×C59—41no—
778D4×C59—41no—
779D4×C59—41no—
780D4×C59—42no—
781D4×C59—42no—
782D4×C59—42no—
783D4×C59—42no—
784D4×C59—42no—
785D4×C59—42no—
786D4×C59—42no—
787D4×C59—81no—
788D4×C59—81no—
789D4×C59—81no—
790D4×C59—81no—
791D4×C59H(5,𝔽2)12yes—
792C2×C4×C59—24no—
793C2×C4×C59—21no—
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—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—41no—
809C2×C4×C59—41no—
810C2×C4×C59—42no—
811C2×C4×C59—42no—
812C2×C4×C59—42no—
813C2×C4×C59—42no—
814C2×C4×C59—42no—
815C2×C4×C59—42no—
816C2×C4×C59—42no—
817C2×C4×C59—81no—
818C2×C4×C59—81no—
819C2×C4×C59C22×D411yescharacteristic
820C2×C4×C59C22×D411yescharacteristic
821C2×C4×C59C22×D411yescharacteristic
822C2×C4×C59C22×D411yescharacteristic
823C2×C4×C59C22×D411yescharacteristic
824C2×C4×C59C22×D411yescharacteristic
825C2×C4×C59C22×D411yescharacteristic
826C2×C4×C59C22×D411yescharacteristic
827C2×C4×C59C22×D411yescharacteristic
828C2×C4×C59C2511yescharacteristic
829C22⋊D59—81no—
830C22⋊D59—81no—
831C22⋊D59—81no—
832C22⋊D59—81no—
833C22⋊D59—81no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—21no—
837C2×Dic59—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—81no—
842C2×Dic59—81no—
843C2×Dic59—81no—
844C2×Dic59—81no—
845D236—21no—
846D236—21no—
847C4×D59—42no—
848C4×D59—81no—
849C4×D59—81no—
850Dic118—21no—
851Dic118—21no—
852Dic118—21no—
853Dic118—21no—
854Dic118—21no—
855Dic118—21no—
856Dic118—81no—
857Dic118—81no—
858Dic118—81no—
859C59⋊C8—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864C59⋊C8—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867#61691—591nomaximal, Sylow
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—22no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—162no—
893C22×C59—162no—
894C22×C59—162no—
895C22×C59C23×D411yescharacteristic
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C4×C59—21no—
900C4×C59—21no—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—21no—
905C4×C59—21no—
906C4×C59—21no—
907C4×C59—21no—
908C4×C59—22no—
909C4×C59—41no—
910C4×C59—41no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59C2×H(5,𝔽2)11yescharacteristic
914C4×C59C2×H(5,𝔽2)11yescharacteristic
915Dic59—41no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922#3547—591no—
923#3500D5911yescharacteristic, complemented
924#3327—591no—
925#3323—591no—
926#3321—591no—
927#3319—591no—
928#3316—591no—
929#3314—591no—
930#3300—591no—
931#3296—591no—
932#3285—591no—
933#3282—591no—
934#3277—591no—
935#3275—591no—
936#3270—591no—
937#3269—591no—
938#3267—591no—
939#3266—591no—
940#3215—591no—
941#3211—591no—
942#3202—591no—
943#3201—591no—
944#3200—591no—
945#3198—591no—
946#3111—591no—
947#3107—591no—
948#3013—591no—
949#3012—591no—
950#3011—591no—
951#3009—591no—
952#2981—591no—
953C2×C59—41no—
954C2×C59—41no—
955C2×C59—41no—
956C2×C59—41no—
957C2×C59—41no—
958C2×C59—42no—
959C2×C59—81no—
960C2×C59—81no—
961C2×C59#348411yescharacteristic
962C2×C59#358411yescharacteristic
963C2×C59#358611yescharacteristic
964D59—81no—
965C2×2−1+4C2×D5911yescharacteristic
966C2×H(5,𝔽2)C2×D5911yescharacteristic
967C2×#137—591no—
968C2×#137—591no—
969C2×#137—591no—
970C2×AGL(1,ℤ/8)—591no—
971C2×#135—591no—
972C2×#135—591no—
973C22×Q16—591no—
974C22×SD16—591no—
975#562—1181no—
976#562—1181no—
977#555—591no—
978#555—1181no—
979#554—591no—
980#553—1181no—
981#552—591no—
982#552—591no—
983D4×Q8—591no—
984#548—591no—
985#548—591no—
986#548C2×D5911yescharacteristic
987#548C2×D5911yescharacteristic
988#548C2×D5911yescharacteristic
989#548C2×D5911yescharacteristic
990#547—591no—
991#546—21no—
992#546—21no—
993#546—21no—
994#546—21no—
995#546C2×D5911yescharacteristic
996#546C2×D5911yescharacteristic
997#546C2×D5911yescharacteristic
998#546C2×D5911yescharacteristic
999#544—1181no—
1000#542—1181no—
1001#542—1181no—
1002#540—1181no—
1003#537—591no—
1004#537—591no—
1005#536—21no—
1006#536—591no—
1007#536—591no—
1008#536C2×D5911yescharacteristic
1009#535—21no—
1010#535C2×D5911yescharacteristic
1011#533—591no—
1012#532—21no—
1013#532C2×D5911yescharacteristic
1014#529—591no—
1015C2×#124—21no—
1016C2×#124C2×D5911yescharacteristic
1017C4×#41C2×D5911yescharacteristic
1018#497—591no—
1019#497—591no—
1020#495—591no—
1021#495—591no—
1022#489—591no—
1023#489—591no—
1024#488—591no—
1025#488—591no—
1026#485—591no—
1027#485—591no—
1028#485—591no—
1029#485—591no—
1030#485—591no—
1031#484—591no—
1032#483—591no—
1033#482—591no—
1034#482—591no—
1035#482—591no—
1036#481—591no—
1037#480—591no—
1038#479—591no—
1039#478—591no—
1040#475—591no—
1041#474—591no—
1042#470—591no—
1043#470—591no—
1044#470—591no—
1045#469—591no—
1046#468—591no—
1047#468—591no—
1048#468—591no—
1049#468—591no—
1050#467—591no—
1051#467—591no—
1052#467—591no—
1053#466—591no—
1054#465—591no—
1055#465—591no—
1056#465—591no—
1057#465—591no—
1058#464—591no—
1059#464—591no—
1060#464—591no—
1061#464—591no—
1062#464—591no—
1063#464—591no—
1064#464—591no—
1065#463—591no—
1066#463—591no—
1067#463—591no—
1068#462—591no—
1069#461—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#452—591no—
1078#452—591no—
1079#452—591no—
1080#452—591no—
1081#451—591no—
1082#451—591no—
1083#451—591no—
1084#451—591no—
1085#451—591no—
1086#451—591no—
1087#451—591no—
1088#451—591no—
1089#450—591no—
1090#450—591no—
1091#450—591no—
1092#450—591no—
1093#450—591no—
1094#450—591no—
1095#449—591no—
1096#449—591no—
1097#449—591no—
1098#449—591no—
1099#449—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#448—591no—
1104#447—591no—
1105#447—591no—
1106#442—591no—
1107#441—591no—
1108#440—591no—
1109#440—591no—
1110C4×Q16—591no—
1111C4×Q16—591no—
1112C4×SD16—591no—
1113C4×SD16—591no—
1114#436—591no—
1115#436—591no—
1116#435—591no—
1117#435—591no—
1118#435—591no—
1119#435—591no—
1120C8×D4—591no—
1121C8×D4—591no—
1122#432—591no—
1123#431—591no—
1124#419—591no—
1125#418—591no—
1126#417—591no—
1127#417—591no—
1128#416—591no—
1129#416—591no—
1130C2×#103—591no—
1131C2×#102—591no—
1132#408—591no—
1133#408—591no—
1134#408—591no—
1135#408—591no—
1136C59#6169111yescharacteristic, complemented, Sylow
11372−1+4—42no—
11382−1+4—42no—
1139H(5,𝔽2)—42no—
1140H(5,𝔽2)—42no—
1141C2×#41—21no—
1142C2×#41—21no—
1143C2×#41—21no—
1144C2×#41—21no—
1145C2×#41—591no—
1146C2×#41—591no—
1147C2×#41C22×D5911yescharacteristic
1148C2×#41C22×D5911yescharacteristic
1149C2×#41C22×D5911yescharacteristic
1150C2×#41C22×D5911yescharacteristic
1151C2×#41C22×D5911yescharacteristic
1152C2×#41C22×D5911yescharacteristic
1153C2×#41C22×D5911yescharacteristic
1154C22×Q8—21no—
1155C22×Q8—591no—
1156C22×Q8—591no—
1157C22×Q8C22×D5911yescharacteristic
1158C22×Q8C22×D5911yescharacteristic
1159C22×Q8C22×D5911yescharacteristic
1160C22×D4—21no—
1161C22×D4—21no—
1162C22×D4—21no—
1163C22×D4C22×D5911yescharacteristic
1164C22×D4C22×D5911yescharacteristic
1165C22×D4C22×D5911yescharacteristic
1166#137—2362no—
1167#137—2362no—
1168#137—2362no—
1169AGL(1,ℤ/8)—2362no—
1170#135—2362no—
1171#135—2362no—
1172C2×Q16—591no—
1173C2×Q16—591no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×Q16—591no—
1178C2×Q16—591no—
1179C2×Q16—591no—
1180C2×Q16—591no—
1181C2×Q16—2362no—
1182C2×SD16—591no—
1183C2×SD16—591no—
1184C2×SD16—591no—
1185C2×SD16—591no—
1186C2×SD16—591no—
1187C2×SD16—591no—
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—2362no—
1195C2×D8—591no—
1196C2×D8—591no—
1197C2×D8—591no—
1198C2×M16—591no—
1199C2×M16—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C22×C8—591no—
1203C22×C8—591no—
1204C22×C8—591no—
1205C22×C8—591no—
1206C4⋊Q8—21no—
1207C4⋊Q8—591no—
1208C4⋊Q8—591no—
1209C4⋊Q8—1181no—
1210C4⋊Q8—1181no—
1211C4⋊Q8—1181no—
1212C4⋊Q8C22⋊D5911yescharacteristic
1213#127—21no—
1214#127C22⋊D5911yescharacteristic
1215#126—1181no—
1216#126—1181no—
1217#126—1181no—
1218#125—591no—
1219#125—1181no—
1220#125—1181no—
1221#125—1181no—
1222#125—1181no—
1223#124—21no—
1224#124—21no—
1225#124—21no—
1226#124—21no—
1227#124—21no—
1228#124—21no—
1229#124—21no—
1230#124—21no—
1231#124—591no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124—1181no—
1238#124C22⋊D5911yescharacteristic
1239#124C22⋊D5911yescharacteristic
1240#124C22×D5911yescharacteristic
1241#124C22×D5911yescharacteristic
1242#124C22×D5911yescharacteristic
1243#124C22×D5911yescharacteristic
1244#123—21no—
1245#123—21no—
1246#123—21no—
1247#123—21no—
1248#123—21no—
1249#123—21no—
1250#123—1181no—
1251#123—1181no—
1252#123—1181no—
1253#123—1181no—
1254#123—1181no—
1255#123—1181no—
1256#123—1181no—
1257#123—1181no—
1258#123—1181no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—591no—
1264C22⋊Q8—591no—
1265C22⋊Q8—591no—
1266C22⋊Q8—591no—
1267C22⋊Q8—591no—
1268C22⋊Q8—591no—
1269C22⋊Q8—591no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8C22×D5911yescharacteristic
1282C22⋊Q8C22×D5911yescharacteristic
1283C22⋊Q8C22×D5911yescharacteristic
1284C22⋊Q8C22×D5911yescharacteristic
1285#121—21no—
1286#121—21no—
1287#121—21no—
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121—1181no—
1300#121—1181no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121C22⋊D5911yescharacteristic
1307#121C22⋊D5911yescharacteristic
1308#121C22⋊D5911yescharacteristic
1309#121C22⋊D5911yescharacteristic
1310#121C22×D5911yescharacteristic
1311#121C22×D5911yescharacteristic
1312#121C22×D5911yescharacteristic
1313#121C22×D5911yescharacteristic
1314#120—21no—
1315#120—21no—
1316#120—21no—
1317#120—21no—
1318#120—21no—
1319#120—21no—
1320C4×Q8—591no—
1321C4×Q8—591no—
1322C4×Q8—591no—
1323C4×Q8—1181no—
1324C4×Q8C22×D5911yescharacteristic
1325C4×Q8C22×D5911yescharacteristic
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4—21no—
1331C4×D4—21no—
1332C4×D4—591no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4—1181no—
1338C4×D4C22×D5911yescharacteristic
1339C4×D4C22×D5911yescharacteristic
1340C4×D4C22×D5911yescharacteristic
1341C4×D4C22×D5911yescharacteristic
1342C4×D4C22×D5911yescharacteristic
1343C4×D4C22×D5911yescharacteristic
1344#117—21no—
1345#117—591no—
1346#117—591no—
1347#117—1181no—
1348#117—1181no—
1349#117—1181no—
1350#117—1181no—
1351#117—1181no—
1352#117C22×D5911yescharacteristic
1353C2×C4⋊C4—591no—
1354C2×C4⋊C4—591no—
1355C2×C4⋊C4—1181no—
1356C2×C22⋊C4—21no—
1357C2×C22⋊C4—21no—
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—21no—
1362C2×C42—21no—
1363C2×C42C22×D5911yescharacteristic
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107—591no—
1368#106—591no—
1369#106—591no—
1370#106—591no—
1371#106—591no—
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8—591no—
1375C4⋊C8—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103—591no—
1383#103—591no—
1384#103—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408C22⋊C8—591no—
1409C22⋊C8—591no—
1410C22⋊C8—591no—
1411C22⋊C8—591no—
1412C22⋊C8—591no—
1413C22⋊C8—591no—
1414C22⋊C8—591no—
1415C22⋊C8—591no—
1416C22⋊C8—591no—
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420#97—591no—
1421#97—591no—
1422C4×C8—591no—
1423C4×C8—591no—
1424C24—21no—
1425C24—21no—
1426C24—21no—
1427#41—22no—
1428#41—22no—
1429#41—22no—
1430#41—22no—
1431#41—22no—
1432#41—22no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—44no—
1442#41—44no—
1443#41—44no—
1444#41—44no—
1445#41—2361no—
1446#41—2361no—
1447#41—2361no—
1448#41—2361no—
1449C2×Q8—21no—
1450C2×Q8—21no—
1451C2×Q8—21no—
1452C2×Q8—22no—
1453C2×Q8—22no—
1454C2×Q8—41no—
1455C2×Q8—41no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—44no—
1459C2×Q8—591no—
1460C2×Q8—591no—
1461C2×Q8—591no—
1462C2×Q8—1181no—
1463C2×Q8—1181no—
1464C2×Q8—1181no—
1465C2×Q8—2361no—
1466C2×Q8—2361no—
1467C2×Q8—2361no—
1468C2×Q8—2361no—
1469C2×Q8C2×C22⋊D5911yescharacteristic
1470C2×Q8C2×C22⋊D5911yescharacteristic
1471C2×Q8C23×D5911yescharacteristic
1472C2×Q8C23×D5911yescharacteristic
1473C2×Q8C23×D5911yescharacteristic
1474C2×D4—21no—
1475C2×D4—22no—
1476C2×D4—22no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—44no—
1493C2×D4—44no—
1494C2×D4—44no—
1495C2×D4—591no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4C2×C22⋊D5911yescharacteristic
1502C2×D4C2×C22⋊D5911yescharacteristic
1503C2×D4C2×C22⋊D5911yescharacteristic
1504C2×D4C2×C22⋊D5911yescharacteristic
1505C2×D4C2×C22⋊D5911yescharacteristic
1506C2×D4C2×C22⋊D5911yescharacteristic
1507C2×D4C2×C22⋊D5911yescharacteristic
1508C2×D4C2×C22⋊D5911yescharacteristic
1509C2×D4C2×C22⋊D5911yescharacteristic
1510C2×D4C2×C22⋊D5911yescharacteristic
1511C2×D4C23×D5911yescharacteristic
1512C2×D4C23×D5911yescharacteristic
1513C2×D4C23×D5911yescharacteristic
1514C22×C4—21no—
1515C22×C4—21no—
1516C22×C4—21no—
1517C22×C4—21no—
1518C22×C4—21no—
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—1181no—
1525C22×C4—1181no—
1526C22×C4—1181no—
1527C22×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4C2×C22⋊D5911yescharacteristic
1532C22×C4C2×C22⋊D5911yescharacteristic
1533C22×C4C23×D5911yescharacteristic
1534C22×C4C23×D5911yescharacteristic
1535C22×C4C23×D5911yescharacteristic
1536C22×C4C23×D5911yescharacteristic
1537C22×C4C23×D5911yescharacteristic
1538Q16—1182no—
1539Q16—1182no—
1540Q16—1182no—
1541Q16—2361no—
1542Q16—2361no—
1543Q16—2361no—
1544Q16—2361no—
1545Q16—2361no—
1546Q16—2361no—
1547SD16—1182no—
1548SD16—1182no—
1549SD16—1182no—
1550SD16—1182no—
1551SD16—2361no—
1552SD16—2361no—
1553SD16—2361no—
1554SD16—2361no—
1555SD16—2361no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559D8—1182no—
1560D8—2361no—
1561D8—2361no—
1562M16—2361no—
1563M16—2361no—
1564M16—2361no—
1565M16—2361no—
1566C2×C8—591no—
1567C2×C8—591no—
1568C2×C8—591no—
1569C2×C8—591no—
1570C2×C8—591no—
1571C2×C8—591no—
1572C2×C8—591no—
1573C2×C8—591no—
1574C2×C8—2361no—
1575C2×C8—2361no—
1576C2×C8—2361no—
1577C2×C8—2361no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4C2×C22⋊D5911yescharacteristic
1608C4⋊C4C2×C22⋊D5911yescharacteristic
1609C4⋊C4C2×C22⋊D5911yescharacteristic
1610C4⋊C4C2×C22⋊D5911yescharacteristic
1611C4⋊C4C23×D5911yescharacteristic
1612C4⋊C4C23×D5911yescharacteristic
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—1181no—
1633C22⋊C4—1181no—
1634C22⋊C4—1181no—
1635C22⋊C4—1181no—
1636C22⋊C4—1181no—
1637C22⋊C4—1181no—
1638C22⋊C4—1181no—
1639C22⋊C4—1181no—
1640C22⋊C4—1181no—
1641C22⋊C4—1181no—
1642C22⋊C4—1181no—
1643C22⋊C4—1181no—
1644C22⋊C4—1181no—
1645C22⋊C4—1181no—
1646C22⋊C4—1181no—
1647C22⋊C4—1181no—
1648C22⋊C4—1181no—
1649C22⋊C4C2×C22⋊D5911yescharacteristic
1650C22⋊C4C2×C22⋊D5911yescharacteristic
1651C22⋊C4C2×C22⋊D5911yescharacteristic
1652C22⋊C4C2×C22⋊D5911yescharacteristic
1653C22⋊C4C2×C22⋊D5911yescharacteristic
1654C22⋊C4C2×C22⋊D5911yescharacteristic
1655C22⋊C4C2×C22⋊D5911yescharacteristic
1656C22⋊C4C2×C22⋊D5911yescharacteristic
1657C42—21no—
1658C42—21no—
1659C42—21no—
1660C42—1181no—
1661C42—1181no—
1662C42—1181no—
1663C42—1181no—
1664C42—1181no—
1665C42C2×C22⋊D5911yescharacteristic
1666C42C2×C22⋊D5911yescharacteristic
1667C42C23×D5911yescharacteristic
1668C42C23×D5911yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—42no—
1674C23—42no—
1675C23—81no—
1676C23—81no—
1677C23—81no—
1678C23—81no—
1679C23—81no—
1680C23—81no—
1681C23—1181no—
1682C23C22×C22⋊D5911yescharacteristic
1683C23C22×C22⋊D5911yescharacteristic
1684C23C22×C22⋊D5911yescharacteristic
1685C23C22×C22⋊D5911yescharacteristic
1686C23C22×C22⋊D5911yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—41no—
1693Q8—41no—
1694Q8—42no—
1695Q8—42no—
1696Q8—42no—
1697Q8—1181no—
1698Q8—1181no—
1699Q8—1181no—
1700Q8—1181no—
1701Q8—1181no—
1702Q8—1181no—
1703Q8—4721no—
1704Q8—4721no—
1705Q8—4721no—
1706Q8#1427377212yes—
1707D4—24no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—21no—
1713D4—41no—
1714D4—41no—
1715D4—41no—
1716D4—41no—
1717D4—41no—
1718D4—41no—
1719D4—41no—
1720D4—41no—
1721D4—41no—
1722D4—41no—
1723D4—42no—
1724D4—42no—
1725D4—42no—
1726D4—42no—
1727D4—42no—
1728D4—42no—
1729D4—42no—
1730D4—81no—
1731D4—81no—
1732D4—81no—
1733D4—81no—
1734D4—1181no—
1735D4—1181no—
1736D4—4721no—
1737D4—4721no—
1738D4—4721no—
1739D4—4721no—
1740D4—4721no—
1741D4#1427377212yes—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—41no—
1759C2×C4—41no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—42no—
1763C2×C4—42no—
1764C2×C4—42no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—4721no—
1777C2×C4—4721no—
1778C2×C4—4721no—
1779C2×C4—4721no—
1780C2×C4—4721no—
1781C2×C4—4721no—
1782C2×C4—2362no—
1783C2×C4C22×C22⋊D5911yescharacteristic
1784C2×C4C22×C22⋊D5911yescharacteristic
1785C2×C4C22×C22⋊D5911yescharacteristic
1786C2×C4C22×C22⋊D5911yescharacteristic
1787C2×C4C22×C22⋊D5911yescharacteristic
1788C2×C4C22×C22⋊D5911yescharacteristic
1789C2×C4C22×C22⋊D5911yescharacteristic
1790C2×C4C22×C22⋊D5911yescharacteristic
1791C2×C4C22×C22⋊D5911yescharacteristic
1792C2×C4C24×D5911yescharacteristic
1793C8—1181no—
1794C8—1181no—
1795C8—1181no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C8—1181no—
1801C22—21no—
1802C22—21no—
1803C22—22no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—21no—
1809C22—21no—
1810C22—21no—
1811C22—21no—
1812C22—21no—
1813C22—21no—
1814C22—21no—
1815C22—21no—
1816C22—21no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—162no—
1826C22—162no—
1827C22—162no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22C23×C22⋊D5911yescharacteristic
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—21no—
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—2361no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4C2×#1427377211yescharacteristic
1854C4C2×#1427377211yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—41no—
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—4721no—
1864C2#2143773111yescharacteristic
1865C2#2143886711yescharacteristic
1866C2#2143888211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3500C2
socleC22×C59C23×D4
hypercenter#3500D59
hypocenterC59#61691
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #532 ◁ #3500

Complements

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

NH ≅ G/Ntype
1. #21438485C2semidirect
2. #21436364C2semidirect
3. #21436312C2semidirect
4. #21436282C2semidirect
5. #21436252C2semidirect
6. #21436207C2semidirect
7. #21436177C2semidirect
8. #21435983C2semidirect
9. #21435931C2semidirect
10. #21435833C2semidirect
11. #21435799C2semidirect
12. #21435749C2semidirect
13. #21435723C2semidirect
14. #21435662C2semidirect
15. #21435652C2semidirect
16. #21435617C2semidirect
17. #21435602C2semidirect
18. #21435099C2semidirect
19. #21435061C2semidirect
20. #21434987C2semidirect
21. #21434978C2semidirect
22. #21434968C2semidirect
23. #21434948C2semidirect
24. #21434205C2semidirect
25. #21434167C2semidirect
26. #21433411C2semidirect
27. #21433400C2semidirect
28. #21433391C2semidirect
29. #21433373C2semidirect
30. #21433172C2semidirect
31. C59×#3500C2semidirect
32. C2×#14273758C22semidirect
34. C2×#14273757C22semidirect
37. C2×#14273747C22semidirect
38. C22×#11745672C22semidirect
42. #16838117C22semidirect
44. #16838109C22semidirect
46. #16838092C22semidirect
47. #16838092C22semidirect
48. D4×Dic118C22semidirect
49. #16838061C22semidirect
50. #16838061C22semidirect
51. #16838057C22semidirect
57. #16837980C22semidirect
59. #16837973C22semidirect
60. #16837959C22semidirect
61. #16837936C22semidirect
62. #16837797C22semidirect
63. #16837797C22semidirect
64. #16837784C22semidirect
65. #16837784C22semidirect
66. #16837761C22semidirect
67. #16837761C22semidirect
68. #16837756C22semidirect
69. #16837756C22semidirect
70. #16837743C22semidirect
71. #16837743C22semidirect
72. #16837743C22semidirect
73. #16837740C22semidirect
74. #16837740C22semidirect
75. #16837735C22semidirect
76. #16837730C22semidirect
77. #16837726C22semidirect
78. #16837723C22semidirect
79. #16837723C22semidirect
80. #16837718C22semidirect
81. #16837713C22semidirect
82. #16837709C22semidirect
83. #16837702C22semidirect
84. #16837687C22semidirect
85. #16837682C22semidirect
86. #16837658C22semidirect
87. #16837658C22semidirect
88. #16837658C22semidirect
89. #16837653C22semidirect
90. #16837650C22semidirect
91. #16837646C22semidirect
92. #16837646C22semidirect
93. #16837646C22semidirect
94. #16837641C22semidirect
95. #16837641C22semidirect
96. #16837641C22semidirect
97. #16837636C22semidirect
98. #16837633C22semidirect
99. #16837629C22semidirect
100. #16837629C22semidirect
101. #16837629C22semidirect
102. #16837624C22semidirect
103. #16837621C22semidirect
104. #16837621C22semidirect
105. #16837621C22semidirect
106. #16837621C22semidirect
107. #16837621C22semidirect
108. #16837621C22semidirect
109. #16837617C22semidirect
110. #16837614C22semidirect
111. #16837614C22semidirect
112. #16837612C22semidirect
113. #16837607C22semidirect
120. #16837564C22semidirect
121. #16837564C22semidirect
122. #16837564C22semidirect
123. #16837562C22semidirect
124. #16837562C22semidirect
125. #16837558C22semidirect
126. #16837558C22semidirect
127. #16837558C22semidirect
128. #16837558C22semidirect
129. #16837558C22semidirect
130. #16837558C22semidirect
131. #16837557C22semidirect
132. #16837557C22semidirect
141. #16837547C22semidirect
142. #16837545C22semidirect
143. #16837545C22semidirect
144. #16837541C22semidirect
145. #16837541C22semidirect
146. #16837540C22semidirect
147. #16837540C22semidirect
150. #16837512C22semidirect
151. #16837507C22semidirect
152. #16837502C22semidirect
153. #16837500C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745672C22semidirect
156. C4×#11745670C22semidirect
157. C4×#11745670C22semidirect
158. #16837480C22semidirect
159. #16837480C22semidirect
160. #16837474C22semidirect
161. #16837474C22semidirect
162. #16837474C22semidirect
163. #16837474C22semidirect
164. D4×C59⋊C8C22semidirect
165. D4×C59⋊C8C22semidirect
166. #16837459C22semidirect
167. #16837455C22semidirect
168. #16837411C22semidirect
171. #16837403C22semidirect
173. #16837398C22semidirect
174. C2×#14273651C22semidirect
178. #16837369C22semidirect
179. #16837369C22semidirect
923. #3500D59semidirect
1136. C59#61691semidirect

Maximal subgroups

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

subgroupindex
#214384852
#214363642
#214363122
#214362822
#214362522
#214362072
#214361772
#214359832
#214359312
#214358332
#214357992
#214357492
#214357232
#214356622
#214356522
#214356172
#214356022
#214350992
#214350612
#214349872
#214349782
#214349682
#214349482
#214342052
#214341672
#214334112
#214334002
#214333912
#214333732
#214331722
C59×#35002
#6169159