Finite Group Databasebeta

← #29470382

Subgroups — #29470382

Order 15104.

1858 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437689C211yesmaximal, characteristic, complemented
2#21437162C211yesmaximal, characteristic, complemented
3#21437041C211yesmaximal, characteristic, complemented
4#21436932C211yesmaximal, characteristic, complemented
5#21436849C211yesmaximal, characteristic, complemented
6#21436656C211yesmaximal, characteristic, complemented
7#21436626C211yesmaximal, characteristic, complemented
8#21436596C211yesmaximal, characteristic, complemented
9#21436358C211yesmaximal, characteristic, complemented
10#21436297C211yesmaximal, characteristic, complemented
11#21436276C211yesmaximal, characteristic, complemented
12#21436216C211yesmaximal, characteristic, complemented
13#21436132C211yesmaximal, characteristic, complemented
14#21436072C211yesmaximal, characteristic, complemented
15#21435723C211yesmaximal, characteristic, complemented
16#21435647C211yesmaximal, characteristic, complemented
17#21435632C211yesmaximal, characteristic, complemented
18#21434696C211yesmaximal, characteristic, complemented
19#21434692C211yesmaximal, characteristic, complemented
20#21434660C211yesmaximal, characteristic, complemented
21#21434172C211yesmaximal, characteristic, complemented
22#21434161C211yesmaximal, characteristic, complemented
23#21434156C211yesmaximal, characteristic, complemented
24#21434143C211yesmaximal, characteristic, complemented
25#21434114C211yesmaximal, characteristic, complemented
26#21434108C211yesmaximal, characteristic, complemented
27#21433063C211yesmaximal, characteristic, complemented
28C4×#14273757C211yesmaximal, characteristic, complemented
29C4×#14273753C211yesmaximal, characteristic, complemented
30C4×#14273747C211yesmaximal, characteristic, complemented
31C59×#3475C211yesmaximal, characteristic, complemented
32C2×#14273757C2211yescharacteristic
33C2×#14273753C2211yescharacteristic
34C2×#14273747C2211yescharacteristic
35#16838137C2211yescharacteristic, complemented
36#16838135—21no—
37#16838130C2211yescharacteristic, complemented
38#16838124—21no—
39#16838122C2211yescharacteristic
40#16838101—21no—
41#16838101—21no—
42#16838098C2211yescharacteristic
43#16838098C2211yescharacteristic, complemented
44#16838073C2211yescharacteristic
45#16838061C2211yescharacteristic
46#16838061C2211yescharacteristic, complemented
47#16837952C2211yescharacteristic, complemented
48#16837948—21no—
49#16837936C2211yescharacteristic
50#16837936C2211yescharacteristic, complemented
51#16837930—21no—
52#16837930—21no—
53C4×#11745685C2211yescharacteristic
54C4×#11745685C2211yescharacteristic, complemented
55#16837870—21no—
56C2×C4×Dic118C2211yescharacteristic, complemented
57#16837812C2211yescharacteristic, complemented
58#16837808C2211yescharacteristic, complemented
59#16837801C2211yescharacteristic, complemented
60#16837794C2211yescharacteristic, complemented
61#16837792C2211yescharacteristic
62#16837784C2211yescharacteristic
63#16837770C2211yescharacteristic, complemented
64#16837768C2211yescharacteristic, complemented
65#16837764C2211yescharacteristic, complemented
66#16837761C2211yescharacteristic
67#16837759C2211yescharacteristic, complemented
68#16837756C2211yescharacteristic
69#16837743C2211yescharacteristic, complemented
70#16837740C2211yescharacteristic
71#16837740C2211yescharacteristic
72#16837740C2211yescharacteristic, complemented
73#16837737C2211yescharacteristic
74#16837730C2211yescharacteristic, complemented
75#16837726C2211yescharacteristic, complemented
76#16837726C2211yescharacteristic, complemented
77#16837726C2211yescharacteristic, complemented
78#16837723C2211yescharacteristic
79#16837720C2211yescharacteristic
80#16837713C2211yescharacteristic
81#16837709C2211yescharacteristic, complemented
82#16837706C2211yescharacteristic, complemented
83#16837706C2211yescharacteristic, complemented
84#16837706C2211yescharacteristic, complemented
85#16837702C2211yescharacteristic
86#16837702C2211yescharacteristic
87#16837702C2211yescharacteristic
88#16837699C2211yescharacteristic, complemented
89#16837697C2211yescharacteristic, complemented
90#16837692C2211yescharacteristic
91#16837684C2211yescharacteristic, complemented
92#16837679C2211yescharacteristic, complemented
93#16837658C2211yescharacteristic
94#16837658C2211yescharacteristic
95#16837653C2211yescharacteristic
96#16837653C2211yescharacteristic
97#16837650C2211yescharacteristic
98#16837650C2211yescharacteristic
99#16837650C2211yescharacteristic, complemented
100#16837650C2211yescharacteristic, complemented
101#16837641C2211yescharacteristic, complemented
102#16837636C2211yescharacteristic
103#16837633C2211yescharacteristic, complemented
104#16837629C2211yescharacteristic
105#16837624C2211yescharacteristic, complemented
106#16837621C2211yescharacteristic
107#16837621C2211yescharacteristic
108#16837621C2211yescharacteristic
109#16837617C2211yescharacteristic
110#16837617C2211yescharacteristic
111#16837617C2211yescharacteristic
112#16837614C2211yescharacteristic
113#16837609C2211yescharacteristic, complemented
114#16837604C2211yescharacteristic, complemented
115#16837602C2211yescharacteristic, complemented
116#16837597C2211yescharacteristic
117#16837564C2211yescharacteristic
118#16837562C2211yescharacteristic
119#16837562C2211yescharacteristic
120#16837562C2211yescharacteristic, complemented
121#16837557C2211yescharacteristic, complemented
122#16837553C2211yescharacteristic
123#16837547C2211yescharacteristic
124#16837547C2211yescharacteristic
125#16837547C2211yescharacteristic
126#16837545C2211yescharacteristic
127#16837540C2211yescharacteristic
128#16837536C2211yescharacteristic
129#16837533C2211yescharacteristic, complemented
130#16837533C2211yescharacteristic, complemented
131#16837512C2211yescharacteristic
132#16837512C2211yescharacteristic
133#16837507C2211yescharacteristic, complemented
134#16837507C2211yescharacteristic, complemented
135#16837502C2211yescharacteristic
136#16837502C2211yescharacteristic
137#16837502C2211yescharacteristic
138#16837502C2211yescharacteristic
139C4×#11745672C2211yescharacteristic, complemented
140C4×#11745672C2211yescharacteristic, complemented
141C4×#11745672C2211yescharacteristic, complemented
142C4×#11745672C2211yescharacteristic, complemented
143C4×#11745672C2211yescharacteristic, complemented
144C4×#11745671C2211yescharacteristic, complemented
145C4×#11745671C2211yescharacteristic, complemented
146C4×#11745671C2211yescharacteristic, complemented
147C4×#11745671C2211yescharacteristic, complemented
148C4×#11745671C2211yescharacteristic, complemented
149C4×#11745670C2211yescharacteristic
150C4×#11745670C2211yescharacteristic
151C4×#11745670C2211yescharacteristic
152C4×#11745670C2211yescharacteristic
153C4×#11745670C2211yescharacteristic
154C4×#11745669C2211yescharacteristic
155C4×#11745669C2211yescharacteristic
156C4×#11745669C2211yescharacteristic
157C4×#11745669C2211yescharacteristic
158C4×#11745669C2211yescharacteristic
159#16837480C2211yescharacteristic
160#16837480C2211yescharacteristic
161#16837474C2211yescharacteristic
162#16837474C2211yescharacteristic
163#16837474C2211yescharacteristic, complemented
164#16837474C2211yescharacteristic, complemented
165#16837455C2211yescharacteristic
166#16837455C2211yescharacteristic, complemented
167#16837455C2211yescharacteristic, complemented
168#16837445C2211yescharacteristic, complemented
169#16837442C2211yescharacteristic
170#16837438C2211yescharacteristic, complemented
171#16837410C2211yescharacteristic, complemented
172#16837407C2211yescharacteristic
173#16837403C2211yescharacteristic
174#16837401C2211yescharacteristic
175#16837398C2211yescharacteristic
176#16837396C2211yescharacteristic, complemented
177C4×#11745664C2211yescharacteristic
178C4×#11745664C2211yescharacteristic, complemented
179C2×C4×C59⋊C8C2211yescharacteristic, complemented
180C59×#556C2211yescharacteristic
181C59×#555C2211yescharacteristic
182C59×#554C2211yescharacteristic
183C59×#553—21no—
184C59×#552—21no—
185C59×#552C2211yescharacteristic
186C59×#552C2211yescharacteristic
187C59×#551—21no—
188C59×#551—21no—
189C59×#547C2211yescharacteristic
190C59×#546C2211yescharacteristic
191C59×#546C2211yescharacteristic
192C59×#533C2211yescharacteristic
193C59×#529—21no—
194C59×#529—21no—
195C59×#529C2211yescharacteristic
196C59×#529C2211yescharacteristic
197C59×#525—21no—
198C4×#41×C59C2211yescharacteristic
199C4×#41×C59C2211yescharacteristic
200C4×#41×C59C2211yescharacteristic
201C2×C4×D4×C59C2211yescharacteristic
202C2×#117×C59—21no—
203C2×#11745685—21no—
204C2×#11745685C2311yescharacteristic
205C2×#11745685C2311yescharacteristic
206C22×Dic118C2311yescharacteristic
207#14273757—24no—
208#14273753—24no—
209#14273747—24no—
210C2×#11745672C2311yescharacteristic
211C2×#11745672C2311yescharacteristic
212C2×#11745672C2311yescharacteristic
213C2×#11745672C2311yescharacteristic
214C2×#11745670C2311yescharacteristic
215C2×#11745670C2311yescharacteristic
216C2×#11745670C2311yescharacteristic
217C2×#11745670C2311yescharacteristic
218C2×#11745671C2311yescharacteristic
219C2×#11745671C2311yescharacteristic
220C2×#11745671C2311yescharacteristic
221C2×#11745671C2311yescharacteristic
222C2×#11745669C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745669C2311yescharacteristic
226C2×#11745664C2311yescharacteristic
227C2×#11745664C2311yescharacteristic
228C2×#11745664C2311yescharacteristic
229C2×#11745664C2311yescharacteristic
230C22×C59⋊C8C2311yescharacteristic
231C22×C59⋊C8C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273725—21no—
234#14273724C2311yescharacteristic
235#14273723—21no—
236#14273722—21no—
237#14273722—21no—
238#14273721—21no—
239#14273721—21no—
240#14273720—21no—
241#14273720—21no—
242#14273719C2311yescharacteristic
243#14273719C2311yescharacteristic
244#14273717—21no—
245#14273717—21no—
246#14273716—21no—
247#14273715—21no—
248#14273715C2311yescharacteristic
249#14273715C2311yescharacteristic
250#14273714—21no—
251#14273713—21no—
252#14273713—21no—
253#14273712—21no—
254#14273712—21no—
255#14273710—21no—
256#14273710—21no—
257#14273709—21no—
258#14273709—21no—
259#14273706C2311yescharacteristic
260#14273706C2311yescharacteristic
261#14273705—21no—
262#14273705—21no—
263#14273701—21no—
264#14273701C2311yescharacteristic
265#14273701C2311yescharacteristic
266#14273701C2311yescharacteristic
267#14273701C2311yescharacteristic
268#14273700—21no—
269#14273700—21no—
270#14273699—21no—
271#14273699—21no—
272#14273699—21no—
273#14273699—21no—
274C4×Dic118—21no—
275C4×Dic118—21no—
276C4×Dic118C2311yescharacteristic
277C4×Dic118C2311yescharacteristic
278C4×Dic118C2311yescharacteristic
279C4×Dic118C2311yescharacteristic
280C4×Dic118C2311yescharacteristic
281C4×Dic118C2311yescharacteristic
282#14273692—21no—
283#14273692—21no—
284C4×D236—21no—
285C4×D236C2311yescharacteristic
286C4×D236C2311yescharacteristic
287C4×D236C2311yescharacteristic
288C4×D236C2311yescharacteristic
289#14273689—21no—
290#14273689—21no—
291C4×C22⋊D59—21no—
292C4×C22⋊D59—21no—
293C4×C22⋊D59—21no—
294C4×C22⋊D59—21no—
295C4×C22⋊D59—21no—
296C4×C22⋊D59—21no—
297(C22⋊D59)⋊C4—21no—
298(C22⋊D59)⋊C4—21no—
299(C22⋊D59)⋊C4—21no—
300(C22⋊D59)⋊C4—21no—
301#14273686C2311yescharacteristic
302#14273686C2311yescharacteristic
303#14273684—21no—
304#14273684—21no—
305#14273684—21no—
306#14273684—21no—
307C2×C4⋊Dic59C2311yescharacteristic
308C2×Dic59⋊C4—21no—
309C2×C4×Dic59—21no—
310C42×D59—21no—
311C42×D59—21no—
312#14273660C2311yescharacteristic
313#14273660C2311yescharacteristic
314#14273660C2311yescharacteristic
315#14273660C2311yescharacteristic
316#14273660C2311yescharacteristic
317#14273660C2311yescharacteristic
318#14273660C2311yescharacteristic
319#14273660C2311yescharacteristic
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#14273651C2311yescharacteristic
339#14273651C2311yescharacteristic
340#14273651C2311yescharacteristic
341#14273651C2311yescharacteristic
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#14273647C2311yescharacteristic
359#14273647C2311yescharacteristic
360#14273647C2311yescharacteristic
361#14273647C2311yescharacteristic
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×C59D411yescharacteristic
383C2×#41×C59C2311yescharacteristic
384C2×#41×C59C2311yescharacteristic
385C22×D4×C59C2311yescharacteristic
386C23×C4×C59—21no—
387C4⋊Q8×C59C2311yescharacteristic
388C4⋊Q8×C59C2311yescharacteristic
389#126×C59—21no—
390#126×C59—21no—
391#126×C59—21no—
392#126×C59—21no—
393#126×C59—21no—
394#126×C59—21no—
395#125×C59—21no—
396#125×C59—21no—
397#125×C59—21no—
398#125×C59C2311yescharacteristic
399#125×C59C2311yescharacteristic
400#124×C59—21no—
401#124×C59—21no—
402#124×C59C2311yescharacteristic
403#124×C59C2311yescharacteristic
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—
411#123×C59—21no—
412C22⋊Q8×C59—21no—
413C22⋊Q8×C59—21no—
414C22⋊Q8×C59—21no—
415C22⋊Q8×C59—21no—
416C22⋊Q8×C59—21no—
417C22⋊Q8×C59C2311yescharacteristic
418C22⋊Q8×C59C2311yescharacteristic
419C22⋊Q8×C59C2311yescharacteristic
420C22⋊Q8×C59C2311yescharacteristic
421#121×C59—21no—
422#121×C59—21no—
423#121×C59—21no—
424#121×C59—21no—
425#121×C59C2311yescharacteristic
426#121×C59C2311yescharacteristic
427#120×C59—21no—
428#120×C59—21no—
429C4×Q8×C59—21no—
430C4×Q8×C59D411yescharacteristic
431C4×Q8×C59C2311yescharacteristic
432C4×Q8×C59C2311yescharacteristic
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×C59D411yescharacteristic
445C4×D4×C59D411yescharacteristic
446C4×D4×C59D411yescharacteristic
447C4×D4×C59C2311yescharacteristic
448C4×D4×C59C2311yescharacteristic
449C4×D4×C59C2311yescharacteristic
450C4×D4×C59C2311yescharacteristic
451C4×D4×C59C2311yescharacteristic
452C4×D4×C59C2311yescharacteristic
453C4×D4×C59C2311yescharacteristic
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456#117×C59—21no—
457#117×C59—21no—
458#117×C59—21no—
459#117×C59—21no—
460#117×C59—21no—
461#117×C59—21no—
462#117×C59—21no—
463#117×C59—21no—
464#117×C59—21no—
465#117×C59D411yescharacteristic
466#117×C59D411yescharacteristic
467#117×C59D411yescharacteristic
468#117×C59C2311yescharacteristic
469#117×C59C2311yescharacteristic
470C2×C4⋊C4×C59—21no—
471C2×C4⋊C4×C59—21no—
472C2×C4⋊C4×C59C2311yescharacteristic
473C2×C22⋊C4×C59—21no—
474C2×C22⋊C4×C59—21no—
475C2×C22⋊C4×C59—21no—
476C2×C42×C59—21no—
477C2×C42×C59—21no—
478C2×C42×C59C2311yescharacteristic
479C2×C42×C59C2311yescharacteristic
480C2×C42×C59C2311yescharacteristic
481C24×C59—21no—
482#41×C59—22no—
483#41×C59—22no—
484#41×C59—42no—
485#41×C59—41no—
486#41×C59—41no—
487C2×Q8×C59—21no—
488C2×Q8×C59C2×D411yescharacteristic
489C2×Q8×C59C2411yescharacteristic
490C2×Q8×C59C2411yescharacteristic
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—41no—
498C2×D4×C59C2×D411yescharacteristic
499C2×D4×C59C2×D411yescharacteristic
500C2×D4×C59C2×D411yescharacteristic
501C2×D4×C59C2411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—44no—
513C22×C4×C59C2×D411yescharacteristic
514C22×C4×C59C2×D411yescharacteristic
515C22×C4×C59C2×D411yescharacteristic
516C22×C4×C59C2×D411yescharacteristic
517C22×C4×C59C2×D411yescharacteristic
518C22×C4×C59C2×D411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C22×Dic59—21no—
529C22×Dic59—21no—
530#11745685—22no—
531#11745685—22no—
532#11745685—41no—
533#11745685—41no—
534#11745685—44no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236C2411yescharacteristic
538C2×D236C2411yescharacteristic
539C2×C4×D59—21no—
540C2×C4×D59—21no—
541C2×C4×D59—21no—
542C2×C4×D59—21no—
543C2×C4×D59—21no—
544C2×C4×D59—21no—
545C2×Dic118—22no—
546C2×Dic118—21no—
547C2×Dic118—21no—
548C2×Dic118—41no—
549C2×Dic118C2411yescharacteristic
550C2×Dic118C2411yescharacteristic
551C4⋊C4×C59—21no—
552C4⋊C4×C59—21no—
553C4⋊C4×C59—21no—
554C4⋊C4×C59—21no—
555C4⋊C4×C59—21no—
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×C59C2×D411yescharacteristic
596C22⋊C4×C59C2×D411yescharacteristic
597C22⋊C4×C59C2×D411yescharacteristic
598C22⋊C4×C59C2×D411yescharacteristic
599C22⋊C4×C59C2×D411yescharacteristic
600C22⋊C4×C59C2×D411yescharacteristic
601C42×C59—21no—
602C42×C59—21no—
603C42×C59—21no—
604C42×C59—21no—
605C42×C59—21no—
606C42×C59—21no—
607C42×C59C2×D411yescharacteristic
608C42×C59C2×D411yescharacteristic
609C42×C59C2×D411yescharacteristic
610C42×C59C2×D411yescharacteristic
611C42×C59C2×D411yescharacteristic
612C42×C59C2×D411yescharacteristic
613C42×C59C2411yescharacteristic
614C42×C59C2411yescharacteristic
615C42×C59C2411yescharacteristic
616C42×C59C2411yescharacteristic
617C22⋊Dic59—21no—
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621#11745672—22no—
622#11745672—22no—
623#11745672—22no—
624#11745672—41no—
625#11745671—22no—
626#11745671—41no—
627#11745671—41no—
628#11745671—41no—
629#11745670—22no—
630#11745670—22no—
631#11745670—41no—
632#11745670#4114yescomplemented
633#11745669—22no—
634#11745669—22no—
635#11745669—22no—
636#11745669—41no—
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—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649C4⋊Dic59—21no—
650C4⋊Dic59—21no—
651C4⋊Dic59C2411yescharacteristic
652C4⋊Dic59C2411yescharacteristic
653C4⋊Dic59C2411yescharacteristic
654C4⋊Dic59C2411yescharacteristic
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—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59—21no—
670C4×Dic59—21no—
671C4×Dic59—21no—
672C4×Dic59—21no—
673C4×Dic59—21no—
674C4×Dic59—21no—
675#11745664—22no—
676#11745664—22no—
677#11745664—41no—
678#11745664—41no—
679C2×C59⋊C8—22no—
680C2×C59⋊C8—41no—
681C2×C59⋊C8C2411yescharacteristic
682C2×C59⋊C8C2411yescharacteristic
683C2×C59⋊C8C2411yescharacteristic
684C2×C59⋊C8C2411yescharacteristic
685C2×C59⋊C8C2411yescharacteristic
686C2×C59⋊C8C2411yescharacteristic
687C2×C59⋊C8C2411yescharacteristic
688C2×C59⋊C8C2411yescharacteristic
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—42no—
692C23×C59—42no—
693C23×C59—81no—
694C23×C59C22×D411yescharacteristic
695C23×C59C22×D411yescharacteristic
696C23×C59C22×D411yescharacteristic
697C22×D59—21no—
698C22×D59—21no—
699Q8×C59—21no—
700Q8×C59—21no—
701Q8×C59—21no—
702Q8×C59—21no—
703Q8×C59—41no—
704Q8×C59—81no—
705D4×C59—21no—
706D4×C59—21no—
707D4×C59—21no—
708D4×C59—41no—
709D4×C59—41no—
710D4×C59—41no—
711D4×C59—42no—
712D4×C59—42no—
713D4×C59—42no—
714D4×C59—81no—
715D4×C59—81no—
716D4×C59C2×#4112yes—
717C2×C4×C59—22no—
718C2×C4×C59—22no—
719C2×C4×C59—22no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—41no—
733C2×C4×C59—41no—
734C2×C4×C59—41no—
735C2×C4×C59—42no—
736C2×C4×C59—42no—
737C2×C4×C59—42no—
738C2×C4×C59—42no—
739C2×C4×C59—42no—
740C2×C4×C59—42no—
741C2×C4×C59—42no—
742C2×C4×C59—81no—
743C2×C4×C59—81no—
744C2×C4×C59C22×D411yescharacteristic
745C2×C4×C59C22×D411yescharacteristic
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C22×D411yescharacteristic
752C2×C4×C59C22×D411yescharacteristic
753C2×C4×C59C22×D411yescharacteristic
754C2×C4×C59C22×D411yescharacteristic
755C2×C4×C59C2511yescharacteristic
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—42no—
759C22⋊D59—42no—
760C22⋊D59—81no—
761C22⋊D59—81no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—42no—
769C2×Dic59—81no—
770D236—21no—
771D236—21no—
772D236—21no—
773D236—21no—
774D236—42no—
775D236—81no—
776C4×D59—42no—
777C4×D59—42no—
778C4×D59—42no—
779C4×D59—42no—
780C4×D59—81no—
781C4×D59—81no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—42no—
786Dic118—42no—
787Dic118C2×#4112yes—
788C59⋊C8—21no—
789C59⋊C8—21no—
790C59⋊C8—21no—
791C59⋊C8—21no—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8C2×#4112yes—
796#61441—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—21no—
799C22×C59—21no—
800C22×C59—21no—
801C22×C59—21no—
802C22×C59—21no—
803C22×C59—22no—
804C22×C59—21no—
805C22×C59—21no—
806C22×C59—21no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—84no—
813C22×C59C23×D411yescharacteristic
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C4×C59—21no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—21no—
826C4×C59—21no—
827C4×C59—21no—
828C4×C59—21no—
829C4×C59—21no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59#57512yes—
837C4×C59C22×#4111yescharacteristic
838C4×C59#58511yescharacteristic
839Dic59—22no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845#3480—591no—
846#3475D5911yescharacteristic, complemented
847#3401—591no—
848#3388—591no—
849#3377—591no—
850#3370—591no—
851#3351—591no—
852#3349—591no—
853#3347—591no—
854#3327—591no—
855#3322—591no—
856#3321—591no—
857#3317—591no—
858#3311—591no—
859#3307—591no—
860#3275—591no—
861#3269—591no—
862#3268—591no—
863#3172—591no—
864#3171—591no—
865#3168—591no—
866#3108—591no—
867#3107—591no—
868#3106—591no—
869#3105—591no—
870#3102—591no—
871#3102—591no—
872#2965—591no—
873C4×#137—591no—
874C4×AGL(1,ℤ/8)—591no—
875C4×#135—591no—
876C2×C59—41no—
877C2×C59—41no—
878C2×C59—41no—
879C2×C59—42no—
880C2×C59—81no—
881C2×C59D4×#4111yescharacteristic
882C2×C59C2×#57511yescharacteristic
883C2×C59#358411yescharacteristic
884D59—81no—
885D59—81no—
886C2×#137—591no—
887C2×AGL(1,ℤ/8)—591no—
888C2×#135—591no—
889#559—591no—
890#559—1181no—
891#557—591no—
892#556—591no—
893#556—1181no—
894#556C2×D5911yescharacteristic
895#555C2×D5911yescharacteristic
896#554C2×D5911yescharacteristic
897#553—21no—
898#553—591no—
899#553—591no—
900#553—1181no—
901#553—1181no—
902#552—21no—
903#552C2×D5911yescharacteristic
904#552C2×D5911yescharacteristic
905#551—21no—
906#551—21no—
907#550—591no—
908#548—591no—
909#548—591no—
910#547C2×D5911yescharacteristic
911#546C2×D5911yescharacteristic
912#546C2×D5911yescharacteristic
913#533C2×D5911yescharacteristic
914#532—591no—
915#532—1181no—
916#529—21no—
917#529—21no—
918#529—591no—
919#529—591no—
920#529—1181no—
921#529—1181no—
922#529C2×D5911yescharacteristic
923#529C2×D5911yescharacteristic
924#525—21no—
925C4×#41—591no—
926C4×#41—591no—
927C4×#41—1181no—
928C4×#41C2×D5911yescharacteristic
929C4×#41C2×D5911yescharacteristic
930C4×#41C2×D5911yescharacteristic
931C2×C4×Q8—591no—
932C2×C4×D4C2×D5911yescharacteristic
933C2×#117—21no—
934#501—591no—
935#501—591no—
936#499—591no—
937#497—591no—
938#496—591no—
939#495—591no—
940#491—591no—
941#490—591no—
942#489—591no—
943#489—591no—
944#488—591no—
945#488—591no—
946#485—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#484—591no—
951#483—591no—
952#482—591no—
953#482—591no—
954#482—591no—
955#482—591no—
956#481—591no—
957#480—591no—
958#479—591no—
959#479—591no—
960#479—591no—
961#479—591no—
962#478—591no—
963#478—591no—
964#478—591no—
965#478—591no—
966#477—591no—
967#476—591no—
968#475—591no—
969#474—591no—
970#470—591no—
971#470—591no—
972#469—591no—
973#469—591no—
974#468—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#467—591no—
979#466—591no—
980#465—591no—
981#465—591no—
982#464—591no—
983#464—591no—
984#464—591no—
985#464—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463—591no—
990#462—591no—
991#461—591no—
992#460—591no—
993#459—591no—
994#452—591no—
995#452—591no—
996#452—591no—
997#452—591no—
998#451—591no—
999#450—591no—
1000#449—591no—
1001#449—591no—
1002#449—591no—
1003#449—591no—
1004#448—591no—
1005#447—591no—
1006#446—591no—
1007#446—591no—
1008#442—591no—
1009#442—591no—
1010#441—591no—
1011#441—591no—
1012#440—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016C4×Q16—591no—
1017C4×Q16—591no—
1018C4×Q16—591no—
1019C4×Q16—591no—
1020C4×Q16—591no—
1021C4×SD16—591no—
1022C4×SD16—591no—
1023C4×SD16—591no—
1024C4×SD16—591no—
1025C4×SD16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16—591no—
1031C4×D8—591no—
1032C4×D8—591no—
1033C4×D8—591no—
1034C4×D8—591no—
1035C4×D8—591no—
1036#436—591no—
1037#436—591no—
1038#435—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#431—591no—
1043#431—591no—
1044#431—591no—
1045#428—591no—
1046#428—591no—
1047#427—591no—
1048#419—591no—
1049#418—591no—
1050#417—591no—
1051#417—591no—
1052#416—591no—
1053#416—591no—
1054C4×M16—591no—
1055C4×M16—591no—
1056C2×C4×C8—591no—
1057C59#6144111yescharacteristic, complemented, Sylow
1058C2×#41—591no—
1059C2×#41—591no—
1060C2×#41—1181no—
1061C2×#41C22⋊D5911yescharacteristic
1062C2×#41C22×D5911yescharacteristic
1063C2×#41C22×D5911yescharacteristic
1064C22×Q8—591no—
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—21no—
1067#137—1184no—
1068AGL(1,ℤ/8)—1184no—
1069#135—1184no—
1070C2×Q16—591no—
1071C2×Q16—591no—
1072C2×Q16—591no—
1073C2×Q16—591no—
1074C2×SD16—591no—
1075C2×SD16—591no—
1076C2×SD16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16—591no—
1082C2×D8—591no—
1083C2×D8—591no—
1084C2×D8—591no—
1085C2×D8—591no—
1086C2×M16—591no—
1087C2×M16—591no—
1088C2×M16—591no—
1089C2×M16—591no—
1090C22×C8—591no—
1091C22×C8—591no—
1092C4⋊Q8—591no—
1093C4⋊Q8—1181no—
1094C4⋊Q8C22×D5911yescharacteristic
1095C4⋊Q8C22×D5911yescharacteristic
1096#127—591no—
1097#127—1181no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#126—21no—
1103#126—21no—
1104#126—1181no—
1105#126—1181no—
1106#126—1181no—
1107#126—1181no—
1108#126—1181no—
1109#126—1181no—
1110#125—21no—
1111#125—21no—
1112#125—21no—
1113#125—591no—
1114#125—591no—
1115#125—1181no—
1116#125—1181no—
1117#125C22×D5911yescharacteristic
1118#125C22×D5911yescharacteristic
1119#124—21no—
1120#124—21no—
1121#124—591no—
1122#124—591no—
1123#124—1181no—
1124#124—1181no—
1125#124—1181no—
1126#124—1181no—
1127#124—1181no—
1128#124C22×D5911yescharacteristic
1129#124C22×D5911yescharacteristic
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143#123—1181no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—591no—
1150C22⋊Q8—591no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8C22×D5911yescharacteristic
1154C22⋊Q8C22×D5911yescharacteristic
1155C22⋊Q8C22×D5911yescharacteristic
1156C22⋊Q8C22×D5911yescharacteristic
1157#121—21no—
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121—591no—
1162#121—591no—
1163#121—591no—
1164#121—591no—
1165#121—1181no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121—1181no—
1171#121—1181no—
1172#121C22×D5911yescharacteristic
1173#121C22×D5911yescharacteristic
1174#120—21no—
1175#120—21no—
1176C4×Q8—21no—
1177C4×Q8—591no—
1178C4×Q8—591no—
1179C4×Q8—591no—
1180C4×Q8—591no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—1181no—
1184C4×Q8—1181no—
1185C4×Q8—1181no—
1186C4×Q8—1181no—
1187C4×Q8C22⋊D5911yescharacteristic
1188C4×Q8C22×D5911yescharacteristic
1189C4×Q8C22×D5911yescharacteristic
1190C4×Q8C22×D5911yescharacteristic
1191C4×Q8C22×D5911yescharacteristic
1192C4×Q8C22×D5911yescharacteristic
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—591no—
1202C4×D4—591no—
1203C4×D4—591no—
1204C4×D4—591no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4C22⋊D5911yescharacteristic
1219C4×D4C22⋊D5911yescharacteristic
1220C4×D4C22⋊D5911yescharacteristic
1221C4×D4C22×D5911yescharacteristic
1222C4×D4C22×D5911yescharacteristic
1223C4×D4C22×D5911yescharacteristic
1224C4×D4C22×D5911yescharacteristic
1225C4×D4C22×D5911yescharacteristic
1226C4×D4C22×D5911yescharacteristic
1227C4×D4C22×D5911yescharacteristic
1228C4×D4C22×D5911yescharacteristic
1229C4×D4C22×D5911yescharacteristic
1230#117—21no—
1231#117—21no—
1232#117—21no—
1233#117—21no—
1234#117—21no—
1235#117—21no—
1236#117—21no—
1237#117—21no—
1238#117—21no—
1239#117—591no—
1240#117—591no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117C22⋊D5911yescharacteristic
1246#117C22⋊D5911yescharacteristic
1247#117C22⋊D5911yescharacteristic
1248#117C22×D5911yescharacteristic
1249#117C22×D5911yescharacteristic
1250C2×C4⋊C4—21no—
1251C2×C4⋊C4—21no—
1252C2×C4⋊C4—591no—
1253C2×C4⋊C4—1181no—
1254C2×C4⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4—21no—
1256C2×C22⋊C4—21no—
1257C2×C22⋊C4—21no—
1258C2×C42—21no—
1259C2×C42—21no—
1260C2×C42—1181no—
1261C2×C42—1181no—
1262C2×C42—1181no—
1263C2×C42C22×D5911yescharacteristic
1264C2×C42C22×D5911yescharacteristic
1265C2×C42C22×D5911yescharacteristic
1266#107—591no—
1267#107—591no—
1268#107—591no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107—591no—
1274#106—591no—
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106—591no—
1282C4⋊C8—591no—
1283C4⋊C8—591no—
1284C4⋊C8—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8—591no—
1288#103—591no—
1289#103—591no—
1290#103—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—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#102—591no—
1305#102—591no—
1306#102—591no—
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—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—
1320C22⋊C8—591no—
1321C22⋊C8—591no—
1322C22⋊C8—591no—
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8—591no—
1326#97—591no—
1327#97—591no—
1328#97—591no—
1329#97—591no—
1330C4×C8—591no—
1331C4×C8—591no—
1332C4×C8—591no—
1333C4×C8—591no—
1334C4×C8—591no—
1335C4×C8—591no—
1336C24—21no—
1337#41—22no—
1338#41—22no—
1339#41—42no—
1340#41—41no—
1341#41—41no—
1342#41—1182no—
1343#41—1182no—
1344#41—2361no—
1345#41—2361no—
1346#41—2364no—
1347C2×Q8—21no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—1182no—
1351C2×Q8—1181no—
1352C2×Q8—1181no—
1353C2×Q8—2361no—
1354C2×Q8C2×C22⋊D5911yescharacteristic
1355C2×Q8C23×D5911yescharacteristic
1356C2×Q8C23×D5911yescharacteristic
1357C2×D4—22no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—21no—
1362C2×D4—21no—
1363C2×D4—41no—
1364C2×D4—591no—
1365C2×D4—591no—
1366C2×D4—1181no—
1367C2×D4—1181no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—1181no—
1372C2×D4—1181no—
1373C2×D4—1181no—
1374C2×D4C2×C22⋊D5911yescharacteristic
1375C2×D4C2×C22⋊D5911yescharacteristic
1376C2×D4C2×C22⋊D5911yescharacteristic
1377C2×D4C23×D5911yescharacteristic
1378C2×D4C23×D5911yescharacteristic
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—21no—
1386C22×C4—21no—
1387C22×C4—21no—
1388C22×C4—44no—
1389C22×C4—1181no—
1390C22×C4—1181no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4C2×C22⋊D5911yescharacteristic
1398C22×C4C2×C22⋊D5911yescharacteristic
1399C22×C4C2×C22⋊D5911yescharacteristic
1400C22×C4C2×C22⋊D5911yescharacteristic
1401C22×C4C2×C22⋊D5911yescharacteristic
1402C22×C4C2×C22⋊D5911yescharacteristic
1403C22×C4C23×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405C22×C4C23×D5911yescharacteristic
1406Q16—1182no—
1407Q16—1182no—
1408Q16—1182no—
1409Q16—2361no—
1410SD16—594no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—2361no—
1415SD16—2361no—
1416SD16—2361no—
1417SD16—2361no—
1418D8—1182no—
1419D8—1182no—
1420D8—1182no—
1421D8—2361no—
1422M16—1182no—
1423M16—1182no—
1424M16—2361no—
1425M16—2361no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—591no—
1429C2×C8—591no—
1430C2×C8—591no—
1431C2×C8—591no—
1432C2×C8—591no—
1433C2×C8—591no—
1434C2×C8—1182no—
1435C2×C8—2361no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—591no—
1453C4⋊C4—591no—
1454C4⋊C4—591no—
1455C4⋊C4—591no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4C2×C22⋊D5911yescharacteristic
1471C4⋊C4C2×C22⋊D5911yescharacteristic
1472C4⋊C4C2×C22⋊D5911yescharacteristic
1473C4⋊C4C2×C22⋊D5911yescharacteristic
1474C4⋊C4C2×C22⋊D5911yescharacteristic
1475C4⋊C4C2×C22⋊D5911yescharacteristic
1476C4⋊C4C23×D5911yescharacteristic
1477C4⋊C4C23×D5911yescharacteristic
1478C4⋊C4C23×D5911yescharacteristic
1479C4⋊C4C23×D5911yescharacteristic
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4C2×C22⋊D5911yescharacteristic
1515C22⋊C4C2×C22⋊D5911yescharacteristic
1516C22⋊C4C2×C22⋊D5911yescharacteristic
1517C22⋊C4C2×C22⋊D5911yescharacteristic
1518C22⋊C4C2×C22⋊D5911yescharacteristic
1519C22⋊C4C2×C22⋊D5911yescharacteristic
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42—21no—
1524C42—21no—
1525C42—21no—
1526C42—1181no—
1527C42—1181no—
1528C42—1181no—
1529C42—1181no—
1530C42—1181no—
1531C42—1181no—
1532C42—1181no—
1533C42—1181no—
1534C42C2×C22⋊D5911yescharacteristic
1535C42C2×C22⋊D5911yescharacteristic
1536C42C2×C22⋊D5911yescharacteristic
1537C42C2×C22⋊D5911yescharacteristic
1538C42C2×C22⋊D5911yescharacteristic
1539C42C2×C22⋊D5911yescharacteristic
1540C42C23×D5911yescharacteristic
1541C42C23×D5911yescharacteristic
1542C42C23×D5911yescharacteristic
1543C42C23×D5911yescharacteristic
1544C23—21no—
1545C23—21no—
1546C23—42no—
1547C23—42no—
1548C23—81no—
1549C23—1181no—
1550C23—1181no—
1551C23C22×C22⋊D5911yescharacteristic
1552C23C22×C22⋊D5911yescharacteristic
1553C23C22×C22⋊D5911yescharacteristic
1554Q8—21no—
1555Q8—21no—
1556Q8—21no—
1557Q8—21no—
1558Q8—41no—
1559Q8—81no—
1560Q8—592no—
1561Q8—1181no—
1562Q8—1181no—
1563Q8—1181no—
1564Q8—2362no—
1565Q8—2362no—
1566D4—21no—
1567D4—21no—
1568D4—21no—
1569D4—41no—
1570D4—41no—
1571D4—41no—
1572D4—42no—
1573D4—42no—
1574D4—42no—
1575D4—81no—
1576D4—81no—
1577D4—1181no—
1578D4—1181no—
1579D4—1181no—
1580D4—1181no—
1581D4—4721no—
1582D4—4721no—
1583D4—4721no—
1584D4—2362no—
1585D4—2362no—
1586D4—2362no—
1587D4—2362no—
1588D4—2362no—
1589D4#41×D5912yes—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—41no—
1606C2×C4—41no—
1607C2×C4—41no—
1608C2×C4—42no—
1609C2×C4—42no—
1610C2×C4—42no—
1611C2×C4—42no—
1612C2×C4—42no—
1613C2×C4—42no—
1614C2×C4—42no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—4721no—
1624C2×C4—4721no—
1625C2×C4—4721no—
1626C2×C4—2362no—
1627C2×C4—2362no—
1628C2×C4—2362no—
1629C2×C4—2362no—
1630C2×C4—2362no—
1631C2×C4C22×C22⋊D5911yescharacteristic
1632C2×C4C22×C22⋊D5911yescharacteristic
1633C2×C4C22×C22⋊D5911yescharacteristic
1634C2×C4C22×C22⋊D5911yescharacteristic
1635C2×C4C22×C22⋊D5911yescharacteristic
1636C2×C4C22×C22⋊D5911yescharacteristic
1637C2×C4C22×C22⋊D5911yescharacteristic
1638C2×C4C22×C22⋊D5911yescharacteristic
1639C2×C4C22×C22⋊D5911yescharacteristic
1640C2×C4C22×C22⋊D5911yescharacteristic
1641C2×C4C22×C22⋊D5911yescharacteristic
1642C2×C4C24×D5911yescharacteristic
1643C8—592no—
1644C8—1181no—
1645C8—1181no—
1646C8—1181no—
1647C8—1181no—
1648C8—1181no—
1649C8—1181no—
1650C8—1181no—
1651C22—21no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—21no—
1657C22—22no—
1658C22—21no—
1659C22—21no—
1660C22—21no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—84no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22C23×C22⋊D5911yescharacteristic
1674C4—21no—
1675C4—21no—
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—21no—
1681C4—21no—
1682C4—21no—
1683C4—21no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—1182no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4#1683820012yes—
1697C4C2×#41×D5911yescharacteristic
1698C4#1683823811yescharacteristic
1699C2—41no—
1700C2—41no—
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—4721no—
1705C2—4721no—
1706C2#41×C22⋊D5911yescharacteristic
1707C2C2×#1683820011yescharacteristic
1708C2#2143886711yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3475C2
socleC22×C59C23×D4
hypercenter#3475D59
hypocenterC59#61441
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ #3475

Complements

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

NH ≅ G/Ntype
1. #21437689C2semidirect
2. #21437162C2semidirect
3. #21437041C2semidirect
4. #21436932C2semidirect
5. #21436849C2semidirect
6. #21436656C2semidirect
7. #21436626C2semidirect
8. #21436596C2semidirect
9. #21436358C2semidirect
10. #21436297C2semidirect
11. #21436276C2semidirect
12. #21436216C2semidirect
13. #21436132C2semidirect
14. #21436072C2semidirect
15. #21435723C2semidirect
16. #21435647C2semidirect
17. #21435632C2semidirect
18. #21434696C2semidirect
19. #21434692C2semidirect
20. #21434660C2semidirect
21. #21434172C2semidirect
22. #21434161C2semidirect
23. #21434156C2semidirect
24. #21434143C2semidirect
25. #21434114C2semidirect
26. #21434108C2semidirect
27. #21433063C2semidirect
28. C4×#14273757C2semidirect
29. C4×#14273753C2semidirect
30. C4×#14273747C2semidirect
31. C59×#3475C2semidirect
35. #16838137C22semidirect
37. #16838130C22semidirect
43. #16838098C22semidirect
46. #16838061C22semidirect
47. #16837952C22semidirect
50. #16837936C22semidirect
54. C4×#11745685C22semidirect
56. C2×C4×Dic118C22semidirect
57. #16837812C22semidirect
58. #16837808C22semidirect
59. #16837801C22semidirect
60. #16837794C22semidirect
63. #16837770C22semidirect
64. #16837768C22semidirect
65. #16837764C22semidirect
67. #16837759C22semidirect
69. #16837743C22semidirect
72. #16837740C22semidirect
74. #16837730C22semidirect
75. #16837726C22semidirect
76. #16837726C22semidirect
77. #16837726C22semidirect
81. #16837709C22semidirect
82. #16837706C22semidirect
83. #16837706C22semidirect
84. #16837706C22semidirect
88. #16837699C22semidirect
89. #16837697C22semidirect
91. #16837684C22semidirect
92. #16837679C22semidirect
99. #16837650C22semidirect
100. #16837650C22semidirect
101. #16837641C22semidirect
103. #16837633C22semidirect
105. #16837624C22semidirect
113. #16837609C22semidirect
114. #16837604C22semidirect
115. #16837602C22semidirect
120. #16837562C22semidirect
121. #16837557C22semidirect
129. #16837533C22semidirect
130. #16837533C22semidirect
133. #16837507C22semidirect
134. #16837507C22semidirect
139. C4×#11745672C22semidirect
140. C4×#11745672C22semidirect
141. C4×#11745672C22semidirect
142. C4×#11745672C22semidirect
143. C4×#11745672C22semidirect
144. C4×#11745671C22semidirect
145. C4×#11745671C22semidirect
146. C4×#11745671C22semidirect
147. C4×#11745671C22semidirect
148. C4×#11745671C22semidirect
163. #16837474C22semidirect
164. #16837474C22semidirect
166. #16837455C22semidirect
167. #16837455C22semidirect
168. #16837445C22semidirect
170. #16837438C22semidirect
171. #16837410C22semidirect
176. #16837396C22semidirect
178. C4×#11745664C22semidirect
179. C2×C4×C59⋊C8C22semidirect
632. #11745670#41semidirect
846. #3475D59semidirect
1057. C59#61441semidirect

Maximal subgroups

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

subgroupindex
#214376892
#214371622
#214370412
#214369322
#214368492
#214366562
#214366262
#214365962
#214363582
#214362972
#214362762
#214362162
#214361322
#214360722
#214357232
#214356472
#214356322
#214346962
#214346922
#214346602
#214341722
#214341612
#214341562
#214341432
#214341142
#214341082
#214330632
C4×#142737572
C4×#142737532
C4×#142737472
C59×#34752
#6144159