Finite Group Databasebeta

← #29470470

Subgroups — #29470470

Order 15104.

1904 conjugacy classes of subgroups.

The subgroup lattice has 1726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437711C211yesmaximal, characteristic, complemented
2#21437156C211yesmaximal, characteristic, complemented
3#21437041C211yesmaximal, characteristic, complemented
4#21436923C211yesmaximal, characteristic, complemented
5#21436858C211yesmaximal, characteristic, complemented
6#21436650C211yesmaximal, characteristic, complemented
7#21436560C211yesmaximal, characteristic, complemented
8#21436545C211yesmaximal, characteristic, complemented
9#21436343C211yesmaximal, characteristic, complemented
10#21436312C211yesmaximal, characteristic, complemented
11#21436261C211yesmaximal, characteristic, complemented
12#21436201C211yesmaximal, characteristic, complemented
13#21436117C211yesmaximal, characteristic, complemented
14#21436057C211yesmaximal, characteristic, complemented
15#21435723C211yesmaximal, characteristic, complemented
16#21435602C211yesmaximal, characteristic, complemented
17#21435587C211yesmaximal, characteristic, complemented
18#21434703C211yesmaximal, characteristic, complemented
19#21434685C211yesmaximal, characteristic, complemented
20#21434660C211yesmaximal, characteristic, complemented
21#21434172C211yesmaximal, characteristic, complemented
22#21434143C211yesmaximal, characteristic, complemented
23#21434123C211yesmaximal, characteristic, complemented
24#21434114C211yesmaximal, characteristic, complemented
25#21434108C211yesmaximal, characteristic, complemented
26#21434104C211yesmaximal, characteristic, complemented
27#21433063C211yesmaximal, characteristic, complemented
28C4×#14273757C211yesmaximal, characteristic, complemented
29C4×#14273753C211yesmaximal, characteristic, complemented
30C2×C4×#11745670C211yesmaximal, characteristic, complemented
31C59×#3481C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic
33C2×#14273753C2211yescharacteristic
34C22×#11745670C2211yescharacteristic
35#16838130C2211yescharacteristic, complemented
36#16838125C2211yescharacteristic, complemented
37#16838120—21no—
38#16838092C2211yescharacteristic
39#16838092C2211yescharacteristic, complemented
40#16838085—21no—
41#16838085—21no—
42D4×Dic118C2211yescharacteristic, complemented
43#16838061C2211yescharacteristic
44#16838061C2211yescharacteristic, complemented
45#16838056C2211yescharacteristic, complemented
46#16838051—21no—
47#16837959C2211yescharacteristic, complemented
48#16837956—21no—
49#16837936C2211yescharacteristic, complemented
50#16837936C2211yescharacteristic, complemented
51#16837932—21no—
52#16837932—21no—
53C4×#11745685C2211yescharacteristic, complemented
54C4×#11745687—21no—
55C2×C4×Dic118C2211yescharacteristic, complemented
56C2×C4×Dic118C2211yescharacteristic, complemented
57#16837812C2211yescharacteristic, complemented
58#16837808C2211yescharacteristic, complemented
59#16837801C2211yescharacteristic, complemented
60#16837797C2211yescharacteristic, complemented
61#16837789C2211yescharacteristic
62#16837784C2211yescharacteristic, complemented
63#16837772C2211yescharacteristic, complemented
64#16837766C2211yescharacteristic
65#16837764C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic, complemented
67#16837759C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic, complemented
69#16837743C2211yescharacteristic, complemented
70#16837740C2211yescharacteristic, complemented
71#16837737C2211yescharacteristic, complemented
72#16837732C2211yescharacteristic, complemented
73#16837732C2211yescharacteristic, complemented
74#16837730C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837723C2211yescharacteristic
77#16837720C2211yescharacteristic, complemented
78#16837718C2211yescharacteristic, complemented
79#16837718C2211yescharacteristic, complemented
80#16837713C2211yescharacteristic
81#16837709C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837706C2211yescharacteristic, complemented
84#16837706C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic
86#16837702C2211yescharacteristic
87#16837702C2211yescharacteristic, complemented
88#16837699C2211yescharacteristic, complemented
89#16837692C2211yescharacteristic
90#16837692C2211yescharacteristic, complemented
91#16837684C2211yescharacteristic, complemented
92#16837684C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic, complemented
94#16837658C2211yescharacteristic, complemented
95#16837653C2211yescharacteristic, complemented
96#16837653C2211yescharacteristic, complemented
97#16837646C2211yescharacteristic
98#16837646C2211yescharacteristic
99#16837646C2211yescharacteristic, complemented
100#16837646C2211yescharacteristic, complemented
101#16837641C2211yescharacteristic, complemented
102#16837636C2211yescharacteristic
103#16837633C2211yescharacteristic, complemented
104#16837629C2211yescharacteristic
105#16837624C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic, complemented
107#16837621C2211yescharacteristic, complemented
108#16837621C2211yescharacteristic, complemented
109#16837617C2211yescharacteristic
110#16837617C2211yescharacteristic
111#16837617C2211yescharacteristic, complemented
112#16837614C2211yescharacteristic, complemented
113#16837607C2211yescharacteristic
114#16837607C2211yescharacteristic, complemented
115#16837599C2211yescharacteristic
116#16837599C2211yescharacteristic
117#16837564C2211yescharacteristic
118#16837562C2211yescharacteristic, complemented
119#16837557C2211yescharacteristic, complemented
120#16837553C2211yescharacteristic
121#16837553C2211yescharacteristic
122#16837553C2211yescharacteristic
123#16837547C2211yescharacteristic
124#16837545C2211yescharacteristic
125#16837540C2211yescharacteristic
126#16837540C2211yescharacteristic, complemented
127#16837540C2211yescharacteristic, complemented
128#16837536C2211yescharacteristic
129#16837533C2211yescharacteristic, complemented
130#16837533C2211yescharacteristic, complemented
131#16837512C2211yescharacteristic
132#16837512C2211yescharacteristic, complemented
133#16837507C2211yescharacteristic, complemented
134#16837507C2211yescharacteristic, complemented
135#16837502C2211yescharacteristic
136#16837502C2211yescharacteristic
137#16837502C2211yescharacteristic
138#16837502C2211yescharacteristic, complemented
139C4×#11745672C2211yescharacteristic, complemented
140C4×#11745672C2211yescharacteristic, complemented
141C4×#11745672C2211yescharacteristic, complemented
142C4×#11745671C2211yescharacteristic, complemented
143C4×#11745670C2211yescharacteristic
144C4×#11745670C2211yescharacteristic
145C4×#11745670C2211yescharacteristic
146C4×#11745670C2211yescharacteristic
147C4×#11745670C2211yescharacteristic
148C4×#11745670C2211yescharacteristic, complemented
149C4×#11745670C2211yescharacteristic, complemented
150C4×#11745670C2211yescharacteristic, complemented
151C4×#11745670C2211yescharacteristic, complemented
152C4×#11745670C2211yescharacteristic, complemented
153C4×#11745670C2211yescharacteristic, complemented
154C4×#11745670C2211yescharacteristic, complemented
155C4×#11745670C2211yescharacteristic, complemented
156C4×#11745669C2211yescharacteristic
157C4×#11745669C2211yescharacteristic, complemented
158C4×#11745669C2211yescharacteristic, complemented
159#16837480C2211yescharacteristic, complemented
160#16837480C2211yescharacteristic, complemented
161#16837474C2211yescharacteristic
162#16837474C2211yescharacteristic
163#16837474C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837455C2211yescharacteristic, complemented
166#16837455C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837445C2211yescharacteristic, complemented
169#16837442C2211yescharacteristic, complemented
170C2×#14273658C2211yescharacteristic, complemented
171#16837410C2211yescharacteristic, complemented
172#16837407C2211yescharacteristic
173#16837403C2211yescharacteristic
174#16837401C2211yescharacteristic, complemented
175C2×#14273650C2211yescharacteristic, complemented
176C2×#14273648C2211yescharacteristic
177C4×#11745664C2211yescharacteristic, complemented
178C4×#11745664C2211yescharacteristic, complemented
179C2×C4×C59⋊C8C2211yescharacteristic, complemented
180C59×#559C2211yescharacteristic
181C59×#554C2211yescharacteristic
182C59×#554C2211yescharacteristic
183C59×#553—21no—
184C59×#553C2211yescharacteristic
185C59×#553C2211yescharacteristic
186C59×#551—21no—
187C59×#551—21no—
188C59×#546—21no—
189C59×#546C2211yescharacteristic
190C59×#546C2211yescharacteristic
191D42×C59C2211yescharacteristic
192C59×#532C2211yescharacteristic
193C59×#529—21no—
194C59×#529C2211yescharacteristic
195C59×#529C2211yescharacteristic
196C59×#525—21no—
197C59×#525—21no—
198C4×#41×C59C2211yescharacteristic
199C4×#41×C59C2211yescharacteristic
200C2×C4×D4×C59—21no—
201C2×C4×D4×C59C2211yescharacteristic
202C2×C4×D4×C59C2211yescharacteristic
203C2×#11745685C2311yescharacteristic
204C2×#11745687—21no—
205C22×Dic118C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207#14273757—24no—
208#14273753—24no—
209C2×#11745672C2311yescharacteristic
210C2×#11745672C2311yescharacteristic
211C2×#11745672C2311yescharacteristic
212C2×#11745670—24no—
213C2×#11745670C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745670C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745671C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745664C2311yescharacteristic
227C2×#11745664C2311yescharacteristic
228C2×#11745664C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273727C2311yescharacteristic
234#14273726—21no—
235#14273725—21no—
236#14273722—21no—
237#14273722—21no—
238#14273721—21no—
239#14273721—21no—
240#14273720—21no—
241#14273720—21no—
242#14273719—21no—
243#14273719C2311yescharacteristic
244#14273719C2311yescharacteristic
245#14273717—21no—
246#14273717—21no—
247#14273717—21no—
248#14273717—21no—
249#14273715C2311yescharacteristic
250#14273715C2311yescharacteristic
251#14273713—21no—
252#14273713—21no—
253#14273711—21no—
254#14273711—21no—
255#14273710—21no—
256#14273710—21no—
257#14273708—21no—
258#14273708—21no—
259#14273707—21no—
260#14273706—21no—
261#14273706C2311yescharacteristic
262#14273706C2311yescharacteristic
263#14273706C2311yescharacteristic
264#14273706C2311yescharacteristic
265#14273705—21no—
266#14273705—21no—
267#14273704—21no—
268#14273704—21no—
269#14273703—21no—
270#14273701C2311yescharacteristic
271#14273701C2311yescharacteristic
272#14273699—21no—
273#14273699—21no—
274C4×Dic118—21no—
275C4×Dic118—21no—
276C4×Dic118—21no—
277C4×Dic118—21no—
278C4×Dic118—21no—
279C4×Dic118C2311yescharacteristic
280C4×Dic118C2311yescharacteristic
281C4×Dic118C2311yescharacteristic
282C4×Dic118C2311yescharacteristic
283C4×Dic118C2311yescharacteristic
284C4×Dic118C2311yescharacteristic
285C4×Dic118C2311yescharacteristic
286C4×Dic118C2311yescharacteristic
287#14273692—21no—
288C4×D236C2311yescharacteristic
289C4×D236C2311yescharacteristic
290D4×Dic59—21no—
291C4×C22⋊D59—21no—
292C4×C22⋊D59—21no—
293C4×C22⋊D59—21no—
294C4×C22⋊D59—21no—
295(C22⋊D59)⋊C4—21no—
296(C22⋊D59)⋊C4—21no—
297#14273686—21no—
298#14273686C2311yescharacteristic
299#14273685—21no—
300#14273684—21no—
301#14273684—21no—
302#14273684—21no—
303#14273683—21no—
304#14273683—21no—
305C2×C4⋊Dic59C2311yescharacteristic
306C2×C4⋊Dic59C2311yescharacteristic
307C2×Dic59⋊C4—21no—
308C2×Dic59⋊C4—21no—
309C2×C4×Dic59—21no—
310C2×C4×Dic59—21no—
311C42×D59—21no—
312#14273660C2311yescharacteristic
313#14273660C2311yescharacteristic
314#14273660C2311yescharacteristic
315#14273660C2311yescharacteristic
316#14273660C2311yescharacteristic
317#14273660C2311yescharacteristic
318#14273658C2311yescharacteristic
319#14273658C2311yescharacteristic
320#14273658C2311yescharacteristic
321#14273658C2311yescharacteristic
322#14273658C2311yescharacteristic
323#14273658C2311yescharacteristic
324#14273658C2311yescharacteristic
325#14273658C2311yescharacteristic
326#14273658C2311yescharacteristic
327#14273658C2311yescharacteristic
328C4⋊(C59⋊C8)C2311yescharacteristic
329C4⋊(C59⋊C8)C2311yescharacteristic
330C4⋊(C59⋊C8)C2311yescharacteristic
331C4⋊(C59⋊C8)C2311yescharacteristic
332C4⋊(C59⋊C8)C2311yescharacteristic
333C4⋊(C59⋊C8)C2311yescharacteristic
334#14273651C2311yescharacteristic
335#14273651C2311yescharacteristic
336#14273651C2311yescharacteristic
337#14273651C2311yescharacteristic
338#14273650C2311yescharacteristic
339#14273650C2311yescharacteristic
340#14273650C2311yescharacteristic
341#14273650C2311yescharacteristic
342#14273650C2311yescharacteristic
343#14273650C2311yescharacteristic
344#14273650C2311yescharacteristic
345#14273650C2311yescharacteristic
346#14273650C2311yescharacteristic
347#14273650C2311yescharacteristic
348#14273650C2311yescharacteristic
349#14273650C2311yescharacteristic
350#14273648C2311yescharacteristic
351#14273648C2311yescharacteristic
352#14273648C2311yescharacteristic
353#14273648C2311yescharacteristic
354#14273648C2311yescharacteristic
355#14273648C2311yescharacteristic
356#14273648C2311yescharacteristic
357#14273648C2311yescharacteristic
358#14273648C2311yescharacteristic
359#14273648C2311yescharacteristic
360#14273648C2311yescharacteristic
361#14273648C2311yescharacteristic
362#14273647C2311yescharacteristic
363#14273647C2311yescharacteristic
364#14273647C2311yescharacteristic
365#14273647C2311yescharacteristic
366C22⋊(C59⋊C8)C2311yescharacteristic
367C22⋊(C59⋊C8)C2311yescharacteristic
368C22⋊(C59⋊C8)C2311yescharacteristic
369C22⋊(C59⋊C8)C2311yescharacteristic
370C22⋊(C59⋊C8)C2311yescharacteristic
371C22⋊(C59⋊C8)C2311yescharacteristic
372#14273638C2311yescharacteristic
373#14273638C2311yescharacteristic
374#14273638C2311yescharacteristic
375#14273638C2311yescharacteristic
376C4×C59⋊C8C2311yescharacteristic
377C4×C59⋊C8C2311yescharacteristic
378C4×C59⋊C8C2311yescharacteristic
379C4×C59⋊C8C2311yescharacteristic
380C4×C59⋊C8C2311yescharacteristic
381C4×C59⋊C8C2311yescharacteristic
382C2×#41×C59—21no—
383C2×#41×C59D411yescharacteristic
384C2×#41×C59C2311yescharacteristic
385C22×D4×C59—21no—
386C22×D4×C59C2311yescharacteristic
387C22×D4×C59C2311yescharacteristic
388C23×C4×C59—21no—
389C23×C4×C59—21no—
390C4⋊Q8×C59C2311yescharacteristic
391#127×C59C2311yescharacteristic
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#126×C59—21no—
396#125×C59—21no—
397#125×C59C2311yescharacteristic
398#125×C59C2311yescharacteristic
399#124×C59—21no—
400#124×C59—21no—
401#124×C59C2311yescharacteristic
402#124×C59C2311yescharacteristic
403#123×C59—21no—
404#123×C59—21no—
405#123×C59—21no—
406#123×C59—21no—
407#123×C59—21no—
408#123×C59—21no—
409#123×C59—21no—
410#123×C59—21no—
411C22⋊Q8×C59—21no—
412C22⋊Q8×C59—21no—
413C22⋊Q8×C59—21no—
414C22⋊Q8×C59—21no—
415C22⋊Q8×C59—21no—
416C22⋊Q8×C59C2311yescharacteristic
417C22⋊Q8×C59C2311yescharacteristic
418#121×C59—21no—
419#121×C59—21no—
420#121×C59—21no—
421#121×C59—21no—
422#121×C59—21no—
423#121×C59—21no—
424#121×C59C2311yescharacteristic
425#121×C59C2311yescharacteristic
426#121×C59C2311yescharacteristic
427#121×C59C2311yescharacteristic
428#120×C59—21no—
429#120×C59—21no—
430#120×C59—21no—
431#120×C59—21no—
432C4×Q8×C59D411yescharacteristic
433C4×Q8×C59C2311yescharacteristic
434C4×Q8×C59C2311yescharacteristic
435C4×Q8×C59C2311yescharacteristic
436C4×D4×C59—21no—
437C4×D4×C59—21no—
438C4×D4×C59—21no—
439C4×D4×C59—21no—
440C4×D4×C59—21no—
441C4×D4×C59—21no—
442C4×D4×C59—21no—
443C4×D4×C59—21no—
444C4×D4×C59—21no—
445C4×D4×C59—21no—
446C4×D4×C59—21no—
447C4×D4×C59—21no—
448C4×D4×C59—21no—
449C4×D4×C59D411yescharacteristic
450C4×D4×C59D411yescharacteristic
451C4×D4×C59D411yescharacteristic
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459C4×D4×C59C2311yescharacteristic
460C4×D4×C59C2311yescharacteristic
461C4×D4×C59C2311yescharacteristic
462C4×D4×C59C2311yescharacteristic
463#117×C59—21no—
464#117×C59—21no—
465#117×C59—21no—
466#117×C59D411yescharacteristic
467#117×C59D411yescharacteristic
468#117×C59D411yescharacteristic
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C4⋊C4×C59C2311yescharacteristic
473C2×C22⋊C4×C59—21no—
474C2×C22⋊C4×C59—21no—
475C2×C22⋊C4×C59—21no—
476C2×C22⋊C4×C59—21no—
477C2×C42×C59—21no—
478C2×C42×C59C2311yescharacteristic
479C2×C42×C59C2311yescharacteristic
480C2×C42×C59C2311yescharacteristic
481C24×C59—21no—
482C24×C59—21no—
483#41×C59—22no—
484#41×C59—42no—
485#41×C59—41no—
486#41×C59—82no—
487C2×Q8×C59—21no—
488C2×Q8×C59C2×D411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×D4×C59—22no—
491C2×D4×C59—22no—
492C2×D4×C59—21no—
493C2×D4×C59—21no—
494C2×D4×C59—21no—
495C2×D4×C59—21no—
496C2×D4×C59—21no—
497C2×D4×C59—21no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59—41no—
503C2×D4×C59—44no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2×D411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C2×D4×C59C2411yescharacteristic
509C2×D4×C59C2411yescharacteristic
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59—21no—
521C22×C4×C59—82no—
522C22×C4×C59—82no—
523C22×C4×C59C2×D411yescharacteristic
524C22×C4×C59C2×D411yescharacteristic
525C22×C4×C59C2×D411yescharacteristic
526C22×C4×C59C2×D411yescharacteristic
527C22×C4×C59C2×D411yescharacteristic
528C22×C4×C59C2×D411yescharacteristic
529C22×C4×C59C2411yescharacteristic
530C22×C4×C59C2411yescharacteristic
531C22×C4×C59C2411yescharacteristic
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539#11745687—44no—
540#11745685—22no—
541#11745685—41no—
542C2×D236C2411yescharacteristic
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×C4×D59—21no—
546C2×Dic118—22no—
547C2×Dic118—22no—
548C2×Dic118—21no—
549C2×Dic118—21no—
550C2×Dic118—21no—
551C2×Dic118—41no—
552C2×Dic118—41no—
553C2×Dic118C2411yescharacteristic
554C2×Dic118C2411yescharacteristic
555C2×Dic118C2411yescharacteristic
556C4⋊C4×C59—21no—
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59—21no—
563C4⋊C4×C59—21no—
564C4⋊C4×C59—21no—
565C4⋊C4×C59—21no—
566C4⋊C4×C59—21no—
567C4⋊C4×C59C2×D411yescharacteristic
568C4⋊C4×C59C2×D411yescharacteristic
569C4⋊C4×C59C2×D411yescharacteristic
570C4⋊C4×C59C2×D411yescharacteristic
571C4⋊C4×C59C2×D411yescharacteristic
572C4⋊C4×C59C2×D411yescharacteristic
573C4⋊C4×C59C2411yescharacteristic
574C4⋊C4×C59C2411yescharacteristic
575C4⋊C4×C59C2411yescharacteristic
576C4⋊C4×C59C2411yescharacteristic
577C22⋊C4×C59—21no—
578C22⋊C4×C59—21no—
579C22⋊C4×C59—21no—
580C22⋊C4×C59—21no—
581C22⋊C4×C59—21no—
582C22⋊C4×C59—21no—
583C22⋊C4×C59—21no—
584C22⋊C4×C59—21no—
585C22⋊C4×C59—21no—
586C22⋊C4×C59—21no—
587C22⋊C4×C59—21no—
588C22⋊C4×C59—21no—
589C22⋊C4×C59—21no—
590C22⋊C4×C59—21no—
591C22⋊C4×C59—21no—
592C22⋊C4×C59—21no—
593C22⋊C4×C59—21no—
594C22⋊C4×C59—21no—
595C22⋊C4×C59—21no—
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C22⋊C4×C59C2×D411yescharacteristic
599C22⋊C4×C59C2×D411yescharacteristic
600C22⋊C4×C59C2×D411yescharacteristic
601C22⋊C4×C59C2×D411yescharacteristic
602C42×C59—21no—
603C42×C59—21no—
604C42×C59—21no—
605C42×C59C2×D411yescharacteristic
606C42×C59C2×D411yescharacteristic
607C42×C59C2×D411yescharacteristic
608C42×C59C2×D411yescharacteristic
609C42×C59C2×D411yescharacteristic
610C42×C59C2×D411yescharacteristic
611C42×C59C2411yescharacteristic
612C42×C59C2411yescharacteristic
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C22⋊Dic59—21no—
616C22⋊Dic59—21no—
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620#11745672—22no—
621#11745672—22no—
622#11745672—41no—
623#11745671—41no—
624#11745670—22no—
625#11745670—22no—
626#11745670—22no—
627#11745670—22no—
628#11745670—22no—
629#11745670—41no—
630#11745670—41no—
631#11745670—41no—
632#11745670#4114yescomplemented
633#11745669—22no—
634#11745669—22no—
635#11745669—41no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644C4⋊Dic59—21no—
645C4⋊Dic59—21no—
646C4⋊Dic59—21no—
647C4⋊Dic59—21no—
648C4⋊Dic59—21no—
649C4⋊Dic59C2411yescharacteristic
650C4⋊Dic59C2411yescharacteristic
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653Dic59⋊C4—21no—
654Dic59⋊C4—21no—
655Dic59⋊C4—21no—
656Dic59⋊C4—21no—
657Dic59⋊C4—21no—
658Dic59⋊C4—21no—
659Dic59⋊C4—21no—
660Dic59⋊C4—21no—
661Dic59⋊C4—21no—
662Dic59⋊C4—21no—
663Dic59⋊C4—21no—
664Dic59⋊C4—21no—
665Dic59⋊C4—21no—
666Dic59⋊C4—21no—
667Dic59⋊C4—21no—
668Dic59⋊C4—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675C4×Dic59—21no—
676C4×Dic59—21no—
677C4×Dic59—21no—
678#11745664—22no—
679#11745664—22no—
680#11745664—41no—
681#11745664—41no—
682C2×C59⋊C8—22no—
683C2×C59⋊C8—41no—
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C2×C59⋊C8C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—42no—
696C23×C59—42no—
697C23×C59—42no—
698C23×C59—42no—
699C23×C59—81no—
700C23×C59—81no—
701C23×C59C22×D411yescharacteristic
702C23×C59C22×D411yescharacteristic
703C23×C59C22×D411yescharacteristic
704C22×D59—21no—
705Q8×C59—21no—
706Q8×C59—21no—
707Q8×C59—41no—
708Q8×C59—81no—
709D4×C59—22no—
710D4×C59—22no—
711D4×C59—21no—
712D4×C59—21no—
713D4×C59—21no—
714D4×C59—21no—
715D4×C59—21no—
716D4×C59—41no—
717D4×C59—42no—
718D4×C59—42no—
719D4×C59—42no—
720D4×C59—42no—
721D4×C59—42no—
722D4×C59—42no—
723D4×C59—81no—
724D4×C59—81no—
725D4×C59—81no—
726D4×C59C2×#4112yes—
727C2×C4×C59—22no—
728C2×C4×C59—22no—
729C2×C4×C59—22no—
730C2×C4×C59—22no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—41no—
743C2×C4×C59—41no—
744C2×C4×C59—42no—
745C2×C4×C59—42no—
746C2×C4×C59—42no—
747C2×C4×C59—42no—
748C2×C4×C59—42no—
749C2×C4×C59—81no—
750C2×C4×C59—81no—
751C2×C4×C59—81no—
752C2×C4×C59—81no—
753C2×C4×C59—81no—
754C2×C4×C59—81no—
755C2×C4×C59C22×D411yescharacteristic
756C2×C4×C59C22×D411yescharacteristic
757C2×C4×C59C22×D411yescharacteristic
758C2×C4×C59C22×D411yescharacteristic
759C2×C4×C59C22×D411yescharacteristic
760C2×C4×C59C22×D411yescharacteristic
761C2×C4×C59C22×D411yescharacteristic
762C2×C4×C59C22×D411yescharacteristic
763C2×C4×C59C22×D411yescharacteristic
764C2×C4×C59C22×D411yescharacteristic
765C2×C4×C59C22×D411yescharacteristic
766C2×C4×C59C2511yescharacteristic
767C22⋊D59—42no—
768C22⋊D59—42no—
769C22⋊D59—42no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—42no—
778C2×Dic59—42no—
779C2×Dic59—42no—
780C2×Dic59—42no—
781D236—21no—
782D236—21no—
783C4×D59—42no—
784C4×D59—42no—
785C4×D59—42no—
786Dic118—21no—
787Dic118—21no—
788Dic118—21no—
789Dic118—21no—
790Dic118—21no—
791Dic118—42no—
792Dic118—42no—
793Dic118—42no—
794Dic118C2×#4112yes—
795C59⋊C8—21no—
796C59⋊C8—21no—
797C59⋊C8—21no—
798C59⋊C8—21no—
799C59⋊C8—21no—
800C59⋊C8—21no—
801C59⋊C8—21no—
802C59⋊C8C2×#4112yes—
803#61445—591nomaximal, Sylow
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—21no—
808C22×C59—22no—
809C22×C59—21no—
810C22×C59—21no—
811C22×C59—21no—
812C22×C59—21no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—84no—
822C22×C59—84no—
823C22×C59#57512yes—
824C22×C59C23×D411yescharacteristic
825C2×D59—41no—
826C2×D59—41no—
827C2×D59—41no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—21no—
831C4×C59—21no—
832C4×C59—21no—
833C4×C59—21no—
834C4×C59—21no—
835C4×C59—21no—
836C4×C59—21no—
837C4×C59—21no—
838C4×C59—41no—
839C4×C59—41no—
840C4×C59—41no—
841C4×C59—41no—
842C4×C59—41no—
843C4×C59#57712yes—
844C4×C59C22×#4111yescharacteristic
845C4×C59#58511yescharacteristic
846Dic59—22no—
847Dic59—41no—
848Dic59—41no—
849Dic59—41no—
850Dic59—41no—
851Dic59—41no—
852Dic59—41no—
853#3482—591no—
854#3481D5911yescharacteristic, complemented
855#3401—591no—
856#3388—591no—
857#3376—591no—
858#3371—591no—
859#3351—591no—
860#3345—591no—
861#3344—591no—
862#3326—591no—
863#3323—591no—
864#3320—591no—
865#3316—591no—
866#3310—591no—
867#3306—591no—
868#3275—591no—
869#3266—591no—
870#3265—591no—
871#3172—591no—
872#3171—591no—
873#3168—591no—
874#3108—591no—
875#3105—591no—
876#3103—591no—
877#3102—591no—
878#3102—591no—
879#3101—591no—
880#2965—591no—
881C4×#137—591no—
882C4×AGL(1,ℤ/8)—591no—
883C2×C4×SD16—591no—
884C2×C59—22no—
885C2×C59—41no—
886C2×C59—41no—
887C2×C59—42no—
888C2×C59—81no—
889C2×C59—81no—
890C2×C59D4×#4111yescharacteristic
891C2×C59C2×#57511yescharacteristic
892C2×C59C2×#57711yescharacteristic
893D59—81no—
894C2×#137—591no—
895C2×AGL(1,ℤ/8)—591no—
896C22×SD16—591no—
897#559C2×D5911yescharacteristic
898#557—591no—
899#556—591no—
900#556—1181no—
901#554C2×D5911yescharacteristic
902#554C2×D5911yescharacteristic
903#553—21no—
904#553C2×D5911yescharacteristic
905#553C2×D5911yescharacteristic
906#552—591no—
907#552—591no—
908#552—1181no—
909#552—1181no—
910#551—21no—
911#551—21no—
912D4×Q8—591no—
913#548—591no—
914#548—591no—
915#547—591no—
916#547—1181no—
917#546—21no—
918#546C2×D5911yescharacteristic
919#546C2×D5911yescharacteristic
920D42C2×D5911yescharacteristic
921#533—591no—
922#533—1181no—
923#532C2×D5911yescharacteristic
924#529—21no—
925#529—591no—
926#529—591no—
927#529—1181no—
928#529—1181no—
929#529C2×D5911yescharacteristic
930#529C2×D5911yescharacteristic
931#525—21no—
932#525—21no—
933C4×#41—591no—
934C4×#41—1181no—
935C4×#41C2×D5911yescharacteristic
936C4×#41C2×D5911yescharacteristic
937C2×C4×Q8—591no—
938C2×C4×Q8—591no—
939C2×C4×D4—21no—
940C2×C4×D4C2×D5911yescharacteristic
941C2×C4×D4C2×D5911yescharacteristic
942#501—591no—
943#501—591no—
944#499—591no—
945#497—591no—
946#496—591no—
947#495—591no—
948#491—591no—
949#490—591no—
950#489—591no—
951#489—591no—
952#488—591no—
953#488—591no—
954#485—591no—
955#485—591no—
956#484—591no—
957#483—591no—
958#483—591no—
959#483—591no—
960#482—591no—
961#482—591no—
962#481—591no—
963#481—591no—
964#481—591no—
965#480—591no—
966#479—591no—
967#479—591no—
968#479—591no—
969#479—591no—
970#478—591no—
971#478—591no—
972#478—591no—
973#478—591no—
974#476—591no—
975#476—591no—
976#475—591no—
977#475—591no—
978#470—591no—
979#470—591no—
980#469—591no—
981#469—591no—
982#468—591no—
983#468—591no—
984#468—591no—
985#468—591no—
986#467—591no—
987#466—591no—
988#465—591no—
989#465—591no—
990#464—591no—
991#464—591no—
992#464—591no—
993#464—591no—
994#463—591no—
995#463—591no—
996#463—591no—
997#463—591no—
998#461—591no—
999#461—591no—
1000#460—591no—
1001#460—591no—
1002#452—591no—
1003#452—591no—
1004#451—591no—
1005#450—591no—
1006#450—591no—
1007#450—591no—
1008#449—591no—
1009#449—591no—
1010#448—591no—
1011#448—591no—
1012#448—591no—
1013#447—591no—
1014#446—591no—
1015#446—591no—
1016#442—591no—
1017#442—591no—
1018#441—591no—
1019#441—591no—
1020#440—591no—
1021#440—591no—
1022#440—591no—
1023#440—591no—
1024C4×Q16—591no—
1025C4×Q16—591no—
1026C4×Q16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×SD16—591no—
1032C4×SD16—591no—
1033C4×SD16—591no—
1034C4×SD16—591no—
1035C4×SD16—591no—
1036C4×SD16—591no—
1037C4×SD16—591no—
1038C4×SD16—591no—
1039C4×SD16—591no—
1040C4×SD16—591no—
1041C4×D8—591no—
1042C4×D8—591no—
1043C4×D8—591no—
1044#436—591no—
1045#436—591no—
1046#435—591no—
1047#435—591no—
1048#435—591no—
1049#435—591no—
1050#431—591no—
1051#431—591no—
1052#431—591no—
1053#428—591no—
1054#428—591no—
1055C2×#106—591no—
1056#419—591no—
1057#418—591no—
1058#417—591no—
1059#417—591no—
1060C2×#103—591no—
1061C2×#102—591no—
1062C4×M16—591no—
1063C4×M16—591no—
1064C2×C4×C8—591no—
1065C59#6144511yescharacteristic, complemented, Sylow
1066C2×#41—21no—
1067C2×#41—591no—
1068C2×#41—1181no—
1069C2×#41C22⋊D5911yescharacteristic
1070C2×#41C22×D5911yescharacteristic
1071C22×Q8—591no—
1072C22×Q8—591no—
1073C22×D4—21no—
1074C22×D4C22×D5911yescharacteristic
1075C22×D4C22×D5911yescharacteristic
1076C23×C4—21no—
1077C23×C4—21no—
1078#137—1184no—
1079AGL(1,ℤ/8)—1184no—
1080C2×Q16—591no—
1081C2×Q16—591no—
1082C2×Q16—591no—
1083C2×SD16—591no—
1084C2×SD16—591no—
1085C2×SD16—591no—
1086C2×SD16—591no—
1087C2×SD16—591no—
1088C2×SD16—591no—
1089C2×SD16—591no—
1090C2×SD16—591no—
1091C2×SD16—591no—
1092C2×SD16—591no—
1093C2×SD16—1184no—
1094C2×D8—591no—
1095C2×D8—591no—
1096C2×D8—591no—
1097C2×M16—591no—
1098C2×M16—591no—
1099C2×M16—591no—
1100C2×M16—591no—
1101C22×C8—591no—
1102C22×C8—591no—
1103C4⋊Q8—591no—
1104C4⋊Q8—591no—
1105C4⋊Q8—1181no—
1106C4⋊Q8—1181no—
1107C4⋊Q8C22×D5911yescharacteristic
1108#127C22×D5911yescharacteristic
1109#126—21no—
1110#126—21no—
1111#126—21no—
1112#126—21no—
1113#126—1181no—
1114#126—1181no—
1115#126—1181no—
1116#126—1181no—
1117#126—1181no—
1118#126—1181no—
1119#125—21no—
1120#125—591no—
1121#125—591no—
1122#125—1181no—
1123#125—1181no—
1124#125—1181no—
1125#125—1181no—
1126#125—1181no—
1127#125C22×D5911yescharacteristic
1128#125C22×D5911yescharacteristic
1129#124—21no—
1130#124—21no—
1131#124—591no—
1132#124—591no—
1133#124—1181no—
1134#124—1181no—
1135#124C22×D5911yescharacteristic
1136#124C22×D5911yescharacteristic
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140#123—21no—
1141#123—21no—
1142#123—21no—
1143#123—21no—
1144#123—21no—
1145#123—1181no—
1146#123—1181no—
1147#123—1181no—
1148#123—1181no—
1149#123—1181no—
1150#123—1181no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8—21no—
1155C22⋊Q8—21no—
1156C22⋊Q8—591no—
1157C22⋊Q8—591no—
1158C22⋊Q8—591no—
1159C22⋊Q8—591no—
1160C22⋊Q8—1181no—
1161C22⋊Q8—1181no—
1162C22⋊Q8—1181no—
1163C22⋊Q8—1181no—
1164C22⋊Q8—1181no—
1165C22⋊Q8—1181no—
1166C22⋊Q8—1181no—
1167C22⋊Q8C22×D5911yescharacteristic
1168C22⋊Q8C22×D5911yescharacteristic
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121—21no—
1173#121—21no—
1174#121—21no—
1175#121—591no—
1176#121—591no—
1177#121—1181no—
1178#121—1181no—
1179#121C22×D5911yescharacteristic
1180#121C22×D5911yescharacteristic
1181#121C22×D5911yescharacteristic
1182#121C22×D5911yescharacteristic
1183#120—21no—
1184#120—21no—
1185#120—21no—
1186#120—21no—
1187C4×Q8—591no—
1188C4×Q8—591no—
1189C4×Q8—591no—
1190C4×Q8—591no—
1191C4×Q8—591no—
1192C4×Q8—591no—
1193C4×Q8—591no—
1194C4×Q8—591no—
1195C4×Q8—1181no—
1196C4×Q8—1181no—
1197C4×Q8—1181no—
1198C4×Q8—1181no—
1199C4×Q8—1181no—
1200C4×Q8—1181no—
1201C4×Q8C22⋊D5911yescharacteristic
1202C4×Q8C22×D5911yescharacteristic
1203C4×Q8C22×D5911yescharacteristic
1204C4×Q8C22×D5911yescharacteristic
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4—21no—
1213C4×D4—21no—
1214C4×D4—21no—
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—21no—
1218C4×D4—591no—
1219C4×D4—591no—
1220C4×D4—1181no—
1221C4×D4—1181no—
1222C4×D4—1181no—
1223C4×D4—1181no—
1224C4×D4—1181no—
1225C4×D4—1181no—
1226C4×D4—1181no—
1227C4×D4C22⋊D5911yescharacteristic
1228C4×D4C22⋊D5911yescharacteristic
1229C4×D4C22⋊D5911yescharacteristic
1230C4×D4C22×D5911yescharacteristic
1231C4×D4C22×D5911yescharacteristic
1232C4×D4C22×D5911yescharacteristic
1233C4×D4C22×D5911yescharacteristic
1234C4×D4C22×D5911yescharacteristic
1235C4×D4C22×D5911yescharacteristic
1236C4×D4C22×D5911yescharacteristic
1237C4×D4C22×D5911yescharacteristic
1238C4×D4C22×D5911yescharacteristic
1239C4×D4C22×D5911yescharacteristic
1240C4×D4C22×D5911yescharacteristic
1241#117—21no—
1242#117—21no—
1243#117—21no—
1244#117—591no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248#117—1181no—
1249#117—1181no—
1250#117—1181no—
1251#117—1181no—
1252#117C22⋊D5911yescharacteristic
1253#117C22⋊D5911yescharacteristic
1254#117C22⋊D5911yescharacteristic
1255#117C22×D5911yescharacteristic
1256C2×C4⋊C4—21no—
1257C2×C4⋊C4—591no—
1258C2×C4⋊C4—591no—
1259C2×C4⋊C4—1181no—
1260C2×C4⋊C4—1181no—
1261C2×C4⋊C4C22×D5911yescharacteristic
1262C2×C4⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4—21no—
1264C2×C22⋊C4—21no—
1265C2×C22⋊C4—21no—
1266C2×C22⋊C4—21no—
1267C2×C42—21no—
1268C2×C42—1181no—
1269C2×C42—1181no—
1270C2×C42—1181no—
1271C2×C42C22×D5911yescharacteristic
1272C2×C42C22×D5911yescharacteristic
1273C2×C42C22×D5911yescharacteristic
1274#107—591no—
1275#107—591no—
1276#107—591no—
1277#107—591no—
1278#107—591no—
1279#107—591no—
1280#106—591no—
1281#106—591no—
1282#106—591no—
1283#106—591no—
1284#106—591no—
1285#106—591no—
1286#106—591no—
1287#106—591no—
1288#106—591no—
1289#106—591no—
1290C4⋊C8—591no—
1291C4⋊C8—591no—
1292C4⋊C8—591no—
1293C4⋊C8—591no—
1294C4⋊C8—591no—
1295C4⋊C8—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103—591no—
1304#103—591no—
1305#103—591no—
1306#103—591no—
1307#103—591no—
1308#103—591no—
1309#103—591no—
1310#103—591no—
1311#103—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102—591no—
1316#102—591no—
1317#102—591no—
1318#102—591no—
1319#102—591no—
1320#102—591no—
1321#102—591no—
1322#102—591no—
1323#102—591no—
1324#102—591no—
1325#102—591no—
1326#102—591no—
1327#102—591no—
1328C22⋊C8—591no—
1329C22⋊C8—591no—
1330C22⋊C8—591no—
1331C22⋊C8—591no—
1332C22⋊C8—591no—
1333C22⋊C8—591no—
1334#97—591no—
1335#97—591no—
1336#97—591no—
1337#97—591no—
1338C4×C8—591no—
1339C4×C8—591no—
1340C4×C8—591no—
1341C4×C8—591no—
1342C4×C8—591no—
1343C4×C8—591no—
1344C24—21no—
1345C24—21no—
1346#41—22no—
1347#41—42no—
1348#41—41no—
1349#41—82no—
1350#41—1182no—
1351#41—2361no—
1352#41—2364no—
1353C2×Q8—21no—
1354C2×Q8—591no—
1355C2×Q8—591no—
1356C2×Q8—591no—
1357C2×Q8—1182no—
1358C2×Q8—1182no—
1359C2×Q8—1181no—
1360C2×Q8—1181no—
1361C2×Q8—1181no—
1362C2×Q8—2361no—
1363C2×Q8—2361no—
1364C2×Q8C2×C22⋊D5911yescharacteristic
1365C2×Q8C23×D5911yescharacteristic
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—21no—
1369C2×D4—21no—
1370C2×D4—21no—
1371C2×D4—21no—
1372C2×D4—21no—
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—21no—
1376C2×D4—21no—
1377C2×D4—41no—
1378C2×D4—41no—
1379C2×D4—44no—
1380C2×D4—591no—
1381C2×D4—1181no—
1382C2×D4—1181no—
1383C2×D4—1181no—
1384C2×D4C2×C22⋊D5911yescharacteristic
1385C2×D4C2×C22⋊D5911yescharacteristic
1386C2×D4C2×C22⋊D5911yescharacteristic
1387C2×D4C23×D5911yescharacteristic
1388C2×D4C23×D5911yescharacteristic
1389C2×D4C23×D5911yescharacteristic
1390C22×C4—21no—
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—21no—
1394C22×C4—21no—
1395C22×C4—21no—
1396C22×C4—21no—
1397C22×C4—21no—
1398C22×C4—21no—
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—82no—
1402C22×C4—82no—
1403C22×C4—1181no—
1404C22×C4—1181no—
1405C22×C4—1181no—
1406C22×C4—1181no—
1407C22×C4—1181no—
1408C22×C4—1181no—
1409C22×C4—1181no—
1410C22×C4C2×C22⋊D5911yescharacteristic
1411C22×C4C2×C22⋊D5911yescharacteristic
1412C22×C4C2×C22⋊D5911yescharacteristic
1413C22×C4C2×C22⋊D5911yescharacteristic
1414C22×C4C2×C22⋊D5911yescharacteristic
1415C22×C4C2×C22⋊D5911yescharacteristic
1416C22×C4C23×D5911yescharacteristic
1417C22×C4C23×D5911yescharacteristic
1418C22×C4C23×D5911yescharacteristic
1419Q16—1182no—
1420Q16—1182no—
1421Q16—2361no—
1422SD16—594no—
1423SD16—1182no—
1424SD16—1182no—
1425SD16—1182no—
1426SD16—1182no—
1427SD16—1182no—
1428SD16—2361no—
1429SD16—2361no—
1430SD16—2361no—
1431SD16—2361no—
1432D8—1182no—
1433D8—1182no—
1434D8—2361no—
1435M16—1182no—
1436M16—1182no—
1437M16—2361no—
1438M16—2361no—
1439C2×C8—591no—
1440C2×C8—591no—
1441C2×C8—591no—
1442C2×C8—591no—
1443C2×C8—591no—
1444C2×C8—591no—
1445C2×C8—591no—
1446C2×C8—591no—
1447C2×C8—1182no—
1448C2×C8—2361no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—21no—
1457C4⋊C4—21no—
1458C4⋊C4—21no—
1459C4⋊C4—21no—
1460C4⋊C4—591no—
1461C4⋊C4—591no—
1462C4⋊C4—591no—
1463C4⋊C4—591no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4—1181no—
1478C4⋊C4—1181no—
1479C4⋊C4—1181no—
1480C4⋊C4—1181no—
1481C4⋊C4—1181no—
1482C4⋊C4—1181no—
1483C4⋊C4—1181no—
1484C4⋊C4—1181no—
1485C4⋊C4C2×C22⋊D5911yescharacteristic
1486C4⋊C4C2×C22⋊D5911yescharacteristic
1487C4⋊C4C2×C22⋊D5911yescharacteristic
1488C4⋊C4C2×C22⋊D5911yescharacteristic
1489C4⋊C4C2×C22⋊D5911yescharacteristic
1490C4⋊C4C2×C22⋊D5911yescharacteristic
1491C4⋊C4C23×D5911yescharacteristic
1492C4⋊C4C23×D5911yescharacteristic
1493C4⋊C4C23×D5911yescharacteristic
1494C4⋊C4C23×D5911yescharacteristic
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C22⋊C4—1181no—
1524C22⋊C4—1181no—
1525C22⋊C4—1181no—
1526C22⋊C4—1181no—
1527C22⋊C4C2×C22⋊D5911yescharacteristic
1528C22⋊C4C2×C22⋊D5911yescharacteristic
1529C22⋊C4C2×C22⋊D5911yescharacteristic
1530C22⋊C4C2×C22⋊D5911yescharacteristic
1531C22⋊C4C2×C22⋊D5911yescharacteristic
1532C22⋊C4C2×C22⋊D5911yescharacteristic
1533C42—21no—
1534C42—21no—
1535C42—21no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42—1181no—
1542C42—1181no—
1543C42—1181no—
1544C42—1181no—
1545C42C2×C22⋊D5911yescharacteristic
1546C42C2×C22⋊D5911yescharacteristic
1547C42C2×C22⋊D5911yescharacteristic
1548C42C2×C22⋊D5911yescharacteristic
1549C42C2×C22⋊D5911yescharacteristic
1550C42C2×C22⋊D5911yescharacteristic
1551C42C23×D5911yescharacteristic
1552C42C23×D5911yescharacteristic
1553C42C23×D5911yescharacteristic
1554C42C23×D5911yescharacteristic
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—42no—
1559C23—42no—
1560C23—42no—
1561C23—42no—
1562C23—81no—
1563C23—81no—
1564C23—1181no—
1565C23C22×C22⋊D5911yescharacteristic
1566C23C22×C22⋊D5911yescharacteristic
1567C23C22×C22⋊D5911yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—41no—
1571Q8—81no—
1572Q8—592no—
1573Q8—1181no—
1574Q8—1181no—
1575Q8—1181no—
1576Q8—1181no—
1577Q8—1181no—
1578Q8—2362no—
1579Q8—2362no—
1580Q8—2362no—
1581D4—22no—
1582D4—22no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—41no—
1589D4—42no—
1590D4—42no—
1591D4—42no—
1592D4—42no—
1593D4—42no—
1594D4—42no—
1595D4—81no—
1596D4—81no—
1597D4—81no—
1598D4—1181no—
1599D4—1181no—
1600D4—2362no—
1601D4—2362no—
1602D4—2362no—
1603D4#41×D5912yes—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—41no—
1620C2×C4—41no—
1621C2×C4—42no—
1622C2×C4—42no—
1623C2×C4—42no—
1624C2×C4—42no—
1625C2×C4—42no—
1626C2×C4—81no—
1627C2×C4—81no—
1628C2×C4—81no—
1629C2×C4—81no—
1630C2×C4—81no—
1631C2×C4—81no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—2362no—
1640C2×C4—2362no—
1641C2×C4—2362no—
1642C2×C4—2362no—
1643C2×C4—2362no—
1644C2×C4—2362no—
1645C2×C4—2362no—
1646C2×C4C22×C22⋊D5911yescharacteristic
1647C2×C4C22×C22⋊D5911yescharacteristic
1648C2×C4C22×C22⋊D5911yescharacteristic
1649C2×C4C22×C22⋊D5911yescharacteristic
1650C2×C4C22×C22⋊D5911yescharacteristic
1651C2×C4C22×C22⋊D5911yescharacteristic
1652C2×C4C22×C22⋊D5911yescharacteristic
1653C2×C4C22×C22⋊D5911yescharacteristic
1654C2×C4C22×C22⋊D5911yescharacteristic
1655C2×C4C22×C22⋊D5911yescharacteristic
1656C2×C4C22×C22⋊D5911yescharacteristic
1657C2×C4C24×D5911yescharacteristic
1658C8—592no—
1659C8—1181no—
1660C8—1181no—
1661C8—1181no—
1662C8—1181no—
1663C8—1181no—
1664C8—1181no—
1665C8—1181no—
1666C22—21no—
1667C22—21no—
1668C22—21no—
1669C22—21no—
1670C22—21no—
1671C22—21no—
1672C22—21no—
1673C22—21no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—84no—
1684C22—84no—
1685C22—2361no—
1686C22—2361no—
1687C22—2361no—
1688C22#1683820012yes—
1689C22C23×C22⋊D5911yescharacteristic
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—21no—
1694C4—21no—
1695C4—21no—
1696C4—21no—
1697C4—21no—
1698C4—21no—
1699C4—21no—
1700C4—41no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—1182no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C4—2361no—
1711C4—2361no—
1712C4#1683821312yes—
1713C4C2×#41×D5911yescharacteristic
1714C4#1683823811yescharacteristic
1715C2—22no—
1716C2—41no—
1717C2—41no—
1718C2—42no—
1719C2—81no—
1720C2—81no—
1721C2—4721no—
1722C2#41×C22⋊D5911yescharacteristic
1723C2C2×#1683820011yescharacteristic
1724C2C2×#1683821311yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3481C2
socleC22×C59C23×D4
hypercenter#3481D59
hypocenterC59#61445
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ #3481

Complements

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

NH ≅ G/Ntype
1. #21437711C2semidirect
2. #21437156C2semidirect
3. #21437041C2semidirect
4. #21436923C2semidirect
5. #21436858C2semidirect
6. #21436650C2semidirect
7. #21436560C2semidirect
8. #21436545C2semidirect
9. #21436343C2semidirect
10. #21436312C2semidirect
11. #21436261C2semidirect
12. #21436201C2semidirect
13. #21436117C2semidirect
14. #21436057C2semidirect
15. #21435723C2semidirect
16. #21435602C2semidirect
17. #21435587C2semidirect
18. #21434703C2semidirect
19. #21434685C2semidirect
20. #21434660C2semidirect
21. #21434172C2semidirect
22. #21434143C2semidirect
23. #21434123C2semidirect
24. #21434114C2semidirect
25. #21434108C2semidirect
26. #21434104C2semidirect
27. #21433063C2semidirect
28. C4×#14273757C2semidirect
29. C4×#14273753C2semidirect
30. C2×C4×#11745670C2semidirect
31. C59×#3481C2semidirect
35. #16838130C22semidirect
36. #16838125C22semidirect
39. #16838092C22semidirect
42. D4×Dic118C22semidirect
44. #16838061C22semidirect
45. #16838056C22semidirect
47. #16837959C22semidirect
49. #16837936C22semidirect
50. #16837936C22semidirect
53. C4×#11745685C22semidirect
55. C2×C4×Dic118C22semidirect
56. C2×C4×Dic118C22semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
60. #16837797C22semidirect
62. #16837784C22semidirect
63. #16837772C22semidirect
65. #16837764C22semidirect
66. #16837761C22semidirect
67. #16837759C22semidirect
68. #16837756C22semidirect
69. #16837743C22semidirect
70. #16837740C22semidirect
71. #16837737C22semidirect
72. #16837732C22semidirect
73. #16837732C22semidirect
74. #16837730C22semidirect
75. #16837726C22semidirect
77. #16837720C22semidirect
78. #16837718C22semidirect
79. #16837718C22semidirect
81. #16837709C22semidirect
82. #16837706C22semidirect
83. #16837706C22semidirect
84. #16837706C22semidirect
87. #16837702C22semidirect
88. #16837699C22semidirect
90. #16837692C22semidirect
91. #16837684C22semidirect
92. #16837684C22semidirect
93. #16837658C22semidirect
94. #16837658C22semidirect
95. #16837653C22semidirect
96. #16837653C22semidirect
99. #16837646C22semidirect
100. #16837646C22semidirect
101. #16837641C22semidirect
103. #16837633C22semidirect
105. #16837624C22semidirect
106. #16837621C22semidirect
107. #16837621C22semidirect
108. #16837621C22semidirect
111. #16837617C22semidirect
112. #16837614C22semidirect
114. #16837607C22semidirect
118. #16837562C22semidirect
119. #16837557C22semidirect
126. #16837540C22semidirect
127. #16837540C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
132. #16837512C22semidirect
133. #16837507C22semidirect
134. #16837507C22semidirect
138. #16837502C22semidirect
139. C4×#11745672C22semidirect
140. C4×#11745672C22semidirect
141. C4×#11745672C22semidirect
142. C4×#11745671C22semidirect
148. C4×#11745670C22semidirect
149. C4×#11745670C22semidirect
150. C4×#11745670C22semidirect
151. C4×#11745670C22semidirect
152. C4×#11745670C22semidirect
153. C4×#11745670C22semidirect
154. C4×#11745670C22semidirect
155. C4×#11745670C22semidirect
157. C4×#11745669C22semidirect
158. C4×#11745669C22semidirect
159. #16837480C22semidirect
160. #16837480C22semidirect
163. #16837474C22semidirect
164. #16837474C22semidirect
165. #16837455C22semidirect
166. #16837455C22semidirect
167. #16837455C22semidirect
168. #16837445C22semidirect
169. #16837442C22semidirect
170. C2×#14273658C22semidirect
171. #16837410C22semidirect
174. #16837401C22semidirect
175. C2×#14273650C22semidirect
177. C4×#11745664C22semidirect
178. C4×#11745664C22semidirect
179. C2×C4×C59⋊C8C22semidirect
632. #11745670#41semidirect
854. #3481D59semidirect
1065. C59#61445semidirect

Maximal subgroups

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

subgroupindex
#214377112
#214371562
#214370412
#214369232
#214368582
#214366502
#214365602
#214365452
#214363432
#214363122
#214362612
#214362012
#214361172
#214360572
#214357232
#214356022
#214355872
#214347032
#214346852
#214346602
#214341722
#214341432
#214341232
#214341142
#214341082
#214341042
#214330632
C4×#142737572
C4×#142737532
C2×C4×#117456702
C59×#34812
#6144559