Finite Group Databasebeta

← #29474089

Subgroups — #29474089

Order 15104.

2110 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438146C211yesmaximal, characteristic, complemented
2#548×D59C211yesmaximal, characteristic, complemented
3#21436359C211yesmaximal, characteristic, complemented
4#21436357C211yesmaximal, characteristic, complemented
5#21436169C211yesmaximal, characteristic, complemented
6#21436167C211yesmaximal, characteristic, complemented
7#21436089C211yesmaximal, characteristic, complemented
8#21436087C211yesmaximal, characteristic, complemented
9#21435989C211yesmaximal, characteristic, complemented
10#21435987C211yesmaximal, characteristic, complemented
11#21435837C211yesmaximal, characteristic, complemented
12#21435830C211yesmaximal, characteristic, complemented
13#21435753C211yesmaximal, characteristic, complemented
14#21435747C211yesmaximal, characteristic, complemented
15#21435667C211yesmaximal, characteristic, complemented
16#21435650C211yesmaximal, characteristic, complemented
17#21435646C211yesmaximal, characteristic, complemented
18#21435094C211yesmaximal, characteristic, complemented
19#21435065C211yesmaximal, characteristic, complemented
20#21434927C211yesmaximal, characteristic, complemented
21#21434900C211yesmaximal, characteristic, complemented
22#21434869C211yesmaximal, characteristic, complemented
23#21434862C211yesmaximal, characteristic, complemented
24#21434271C211yesmaximal, characteristic, complemented
25#21434134C211yesmaximal, characteristic, complemented
26#21433352C211yesmaximal, characteristic, complemented
27#21433331C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29C2×#16837556C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3270C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic
33C22×Q8×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273758C2211yescharacteristic, complemented
37C2×#14273750C2211yescharacteristic, complemented
38C2×#14273748C2211yescharacteristic, complemented
39C22×#11745672C2211yescharacteristic, complemented
40#16838125C2211yescharacteristic, complemented
41#16838113—21no—
42#16838094C2211yescharacteristic, complemented
43#16838094C2211yescharacteristic, complemented
44#16838079—21no—
45#16838079—21no—
46#16838064C2211yescharacteristic
47#16838063C2211yescharacteristic
48#16838063C2211yescharacteristic, complemented
49#16838063C2211yescharacteristic, complemented
50#16838062—21no—
51#16838062C2211yescharacteristic
52#16838061—21no—
53#16838061C2211yescharacteristic
54#16838060—21no—
55#16838060C2211yescharacteristic
56#16838059C2211yescharacteristic
57#16838058—21no—
58#16838058C2211yescharacteristic
59#16838056C2211yescharacteristic, complemented
60#16838055C2211yescharacteristic, complemented
61#16838047—21no—
62#16838026—21no—
63#16838001—21no—
64#16838001—21no—
65#16837957C2211yescharacteristic
66#16837939C2211yescharacteristic
67#124×D59—21no—
68#124×D59C2211yescharacteristic
69#16837915C2211yescharacteristic
70#16837915C2211yescharacteristic
71C2×#14273703C2211yescharacteristic
72C2×#14273703C2211yescharacteristic
73C22⋊Q8×D59—21no—
74C22⋊Q8×D59C2211yescharacteristic
75#121×D59—21no—
76#121×D59C2211yescharacteristic
77#16837881—21no—
78C4×Q8×D59C2211yescharacteristic
79C4×D4×D59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837794C2211yescharacteristic, complemented
82#16837787C2211yescharacteristic, complemented
83#16837783C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837758C2211yescharacteristic, complemented
87#16837755C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837738C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic
92#16837736C2211yescharacteristic
93#16837736C2211yescharacteristic
94#16837735C2211yescharacteristic, complemented
95#16837728C2211yescharacteristic, complemented
96#16837724C2211yescharacteristic, complemented
97#16837722C2211yescharacteristic
98#16837716C2211yescharacteristic, complemented
99#16837713C2211yescharacteristic, complemented
100#16837712C2211yescharacteristic, complemented
101#16837711C2211yescharacteristic, complemented
102#16837698C2211yescharacteristic, complemented
103#16837697C2211yescharacteristic, complemented
104#16837658C2211yescharacteristic, complemented
105#16837651C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837648C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837642C2211yescharacteristic, complemented
112#16837642C2211yescharacteristic, complemented
113#16837640C2211yescharacteristic, complemented
114#16837640C2211yescharacteristic, complemented
115#16837638C2211yescharacteristic, complemented
116#16837636C2211yescharacteristic, complemented
117#16837633C2211yescharacteristic, complemented
118#16837627C2211yescharacteristic, complemented
119#16837626C2211yescharacteristic, complemented
120#16837626C2211yescharacteristic, complemented
121#16837626C2211yescharacteristic, complemented
122#16837624C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837622C2211yescharacteristic, complemented
125#16837618C2211yescharacteristic, complemented
126#16837614C2211yescharacteristic, complemented
127#16837609C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837563C2211yescharacteristic, complemented
131#16837563C2211yescharacteristic, complemented
132#16837562C2211yescharacteristic, complemented
133#16837561C2211yescharacteristic, complemented
134#16837561C2211yescharacteristic, complemented
135#16837558C2211yescharacteristic, complemented
136#16837557C2211yescharacteristic, complemented
137#16837556C2211yescharacteristic
138#16837556C2211yescharacteristic
139#16837556C2211yescharacteristic
140#16837556C2211yescharacteristic
141#16837556C2211yescharacteristic
142#16837556C2211yescharacteristic
143#16837556C2211yescharacteristic, complemented
144#16837556C2211yescharacteristic, complemented
145#16837556C2211yescharacteristic, complemented
146#16837556C2211yescharacteristic, complemented
147#16837551C2211yescharacteristic
148#16837551C2211yescharacteristic
149#16837551C2211yescharacteristic
150#16837550C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837547C2211yescharacteristic, complemented
153#16837546C2211yescharacteristic, complemented
154#16837543C2211yescharacteristic, complemented
155#16837542C2211yescharacteristic
156#16837542C2211yescharacteristic
157#16837541C2211yescharacteristic, complemented
158#16837541C2211yescharacteristic, complemented
159#16837537C2211yescharacteristic
160#16837507C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163Q16×Dic59C2211yescharacteristic, complemented
164Q16×Dic59C2211yescharacteristic, complemented
165#16837494C2211yescharacteristic, complemented
166#16837494C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic
175#16837454C2211yescharacteristic
176#16837409C2211yescharacteristic, complemented
177#16837409C2211yescharacteristic, complemented
178#16837404C2211yescharacteristic, complemented
179#16837403C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182C2×#14273652C2211yescharacteristic, complemented
183C2×#14273651C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic
185#16837364C2211yescharacteristic
186C2×(C2×D59)⋊C8C2211yescharacteristic
187C22⋊C8×D59C2211yescharacteristic
188C2×#137×C59C2211yescharacteristic, complemented
189C22×Q16×C59C2211yescharacteristic, complemented
190D4×Q8×C59C2211yescharacteristic, complemented
191C59×#548C2211yescharacteristic
192C59×#497C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#451C2211yescharacteristic, complemented
199C59×#451C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C59×#441C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687—21no—
210C2×#11745687C2311yescharacteristic
211#41×D59—42no—
212#41×D59—42no—
213C22×Dic118—21no—
214C22×Dic118C2311yescharacteristic
215C2×Q8×D59—21no—
216C2×Q8×D59—21no—
217C2×Q8×D59—42no—
218C2×Q8×D59—42no—
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C2×Q8×D59C2311yescharacteristic
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59D411yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C22×C4×D59—21no—
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231#14273759—42no—
232#14273759—42no—
233#14273758—42no—
234#14273750—42no—
235#14273748—42no—
236C2×#11745672—42no—
237C2×#11745672C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745671C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249C2×#11745671C2311yescharacteristic
250C2×D472C2311yescharacteristic
251C2×#11745669C2311yescharacteristic
252C2×#11745664C2311yescharacteristic
253C2×#11745659C2311yescharacteristic
254C2×#11745659C2311yescharacteristic
255C22×C59⋊C8C2311yescharacteristic
256C2×C8×D59C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258#14273727C2311yescharacteristic
259#14273722—21no—
260#14273722—21no—
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273718—21no—
265#14273718—21no—
266#14273718—21no—
267#14273718C2311yescharacteristic
268#14273716—21no—
269#14273716—21no—
270#14273716—21no—
271#14273716C2311yescharacteristic
272#14273716C2311yescharacteristic
273#14273715—21no—
274#14273715—21no—
275#14273715C2311yescharacteristic
276#14273714—21no—
277#14273714C2311yescharacteristic
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273711—21no—
290#14273711—21no—
291#14273711—21no—
292#14273711—21no—
293#14273707—21no—
294#14273707—21no—
295#14273707—21no—
296#14273707C2311yescharacteristic
297#14273706—21no—
298#14273706C2311yescharacteristic
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273703—21no—
306#14273703—21no—
307#14273703—21no—
308#14273703—21no—
309#14273703—21no—
310#14273703—21no—
311#14273703—21no—
312#14273703C2311yescharacteristic
313#14273703C2311yescharacteristic
314#14273703C2311yescharacteristic
315#14273703C2311yescharacteristic
316#14273703C2311yescharacteristic
317#14273703C2311yescharacteristic
318#14273703C2311yescharacteristic
319#14273703C2311yescharacteristic
320#14273702—21no—
321#14273702—21no—
322#14273702C2311yescharacteristic
323#14273702C2311yescharacteristic
324#14273701—21no—
325#14273701—21no—
326#14273701—21no—
327#14273701C2311yescharacteristic
328#14273701C2311yescharacteristic
329#14273701C2311yescharacteristic
330#14273700—21no—
331#14273700—21no—
332#14273700—21no—
333#14273699—21no—
334#14273699—21no—
335#14273699—21no—
336#14273698—21no—
337#14273698C2311yescharacteristic
338#14273697—21no—
339#14273697—21no—
340Q8×Dic59C2311yescharacteristic
341Q8×Dic59C2311yescharacteristic
342Q8×Dic59C2311yescharacteristic
343C4×Dic118—21no—
344C4×Dic118—21no—
345C4×Dic118C2311yescharacteristic
346#14273692—21no—
347#14273692—21no—
348#14273692C2311yescharacteristic
349C4×D236—21no—
350C4×D236—21no—
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59—21no—
354D4×Dic59D411yescharacteristic
355#14273689—21no—
356#14273689—21no—
357#14273689—21no—
358#14273689D411yescharacteristic
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59C2311yescharacteristic
364C4×C22⋊D59C2311yescharacteristic
365(C22⋊D59)⋊C4—21no—
366(C22⋊D59)⋊C4—21no—
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4D411yescharacteristic
370(C22⋊D59)⋊C4D411yescharacteristic
371#14273685—21no—
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273684—21no—
375#14273683—21no—
376#14273683—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C2×C4⋊Dic59C2311yescharacteristic
379C2×Dic59⋊C4—21no—
380C2×Dic59⋊C4—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59D411yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59D411yescharacteristic
393C22⋊C4×D59D411yescharacteristic
394C42×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273660C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273660C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273651C2311yescharacteristic
420#14273651C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273650C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273638C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C22×Q8×C59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×Q8×C59C2311yescharacteristic
449#137×C59—42no—
450C2×Q16×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×Q16×C59C2311yescharacteristic
454C2×Q16×C59C2311yescharacteristic
455C2×Q16×C59C2311yescharacteristic
456C2×Q16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×SD16×C59C2311yescharacteristic
459C2×SD16×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C22×C8×C59C2311yescharacteristic
462C4⋊Q8×C59—21no—
463C4⋊Q8×C59C2311yescharacteristic
464#124×C59—21no—
465#124×C59C2311yescharacteristic
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59—21no—
468C22⋊Q8×C59—21no—
469C22⋊Q8×C59C2311yescharacteristic
470C22⋊Q8×C59C2311yescharacteristic
471C22⋊Q8×C59C2311yescharacteristic
472#121×C59—21no—
473#121×C59C2311yescharacteristic
474C4×Q8×C59C2311yescharacteristic
475C4×Q8×C59C2311yescharacteristic
476C4×D4×C59—21no—
477C4×D4×C59—21no—
478C4×D4×C59C2311yescharacteristic
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#103×C59C2311yescharacteristic
485#103×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492C23×D59C2×D411yescharacteristic
493#41×C59—22no—
494#41×C59—41no—
495C2×Q8×C59—21no—
496C2×Q8×C59—21no—
497C2×Q8×C59—21no—
498C2×Q8×C59—22no—
499C2×Q8×C59—41no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59—41no—
503C2×Q8×C59—41no—
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×Q8×C59C2411yescharacteristic
507C2×Q8×C59C2411yescharacteristic
508C2×Q8×C59C2411yescharacteristic
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59—21no—
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C2×C22⋊D59—21no—
520C2×C22⋊D59—21no—
521C2×C22⋊D59—21no—
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C22×Dic59—21no—
529C22×Dic59—21no—
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59C2×D411yescharacteristic
533C22×Dic59C2×D411yescharacteristic
534#11745689—22no—
535#11745689—41no—
536#11745689—41no—
537#11745689—41no—
538#11745689—41no—
539#11745689—41no—
540Q8×D59—22no—
541Q8×D59—22no—
542Q8×D59—22no—
543Q8×D59—22no—
544Q8×D59—41no—
545Q8×D59—41no—
546Q8×D59—41no—
547Q8×D59—41no—
548Q8×D59—44no—
549Q8×D59—44no—
550#11745687—22no—
551#11745687—41no—
552#11745687—44no—
553#11745687—44no—
554D4×D59—41no—
555D4×D59—41no—
556D4×D59—44no—
557D4×D59—42no—
558D4×D59—44no—
559#11745685—22no—
560#11745685—41no—
561#11745685—44no—
562C2×D236—21no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236C2×D411yescharacteristic
568C2×D236C2411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—41no—
581C2×C4×D59—41no—
582C2×C4×D59—41no—
583C2×C4×D59—41no—
584C2×C4×D59—44no—
585C2×C4×D59—44no—
586C2×C4×D59C2×D411yescharacteristic
587C2×C4×D59C2×D411yescharacteristic
588C2×C4×D59C2×D411yescharacteristic
589C2×C4×D59C2×D411yescharacteristic
590C2×C4×D59C2×D411yescharacteristic
591C2×C4×D59C2×D411yescharacteristic
592C2×C4×D59C2411yescharacteristic
593C2×C4×D59C2411yescharacteristic
594C2×C4×D59C2411yescharacteristic
595C2×Dic118—21no—
596C2×Dic118—22no—
597C2×Dic118—21no—
598C2×Dic118—21no—
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—21no—
602C2×Dic118—41no—
603C2×Dic118—44no—
604C2×Dic118C2411yescharacteristic
605C2×Dic118C2411yescharacteristic
606Q16×C59—22no—
607Q16×C59—22no—
608Q16×C59—22no—
609Q16×C59—41no—
610Q16×C59—41no—
611Q16×C59—41no—
612SD16×C59—41no—
613SD16×C59—41no—
614SD16×C59—41no—
615M16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59C2×D411yescharacteristic
638C22⋊C4×C59C2×D411yescharacteristic
639C42×C59—21no—
640C42×C59—21no—
641C42×C59C2411yescharacteristic
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59C2×D411yescharacteristic
647C22⋊Dic59C2×D411yescharacteristic
648#11745672—22no—
649#11745672—22no—
650#11745672—22no—
651#11745672—41no—
652#11745672—41no—
653#11745672—41no—
654#11745671—22no—
655#11745671—41no—
656#11745671—41no—
657#11745671—41no—
658#11745671—41no—
659#11745669—41no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4—21no—
664(C2×D59)⋊C4—21no—
665(C2×D59)⋊C4—21no—
666(C2×D59)⋊C4—21no—
667(C2×D59)⋊C4—21no—
668(C2×D59)⋊C4—21no—
669(C2×D59)⋊C4—21no—
670(C2×D59)⋊C4—21no—
671(C2×D59)⋊C4—21no—
672(C2×D59)⋊C4—21no—
673(C2×D59)⋊C4—21no—
674(C2×D59)⋊C4—21no—
675(C2×D59)⋊C4—21no—
676(C2×D59)⋊C4—21no—
677(C2×D59)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687C4⋊Dic59—21no—
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59—21no—
695C4⋊Dic59C2×D411yescharacteristic
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⋊C4C2×D411yescharacteristic
714Dic59⋊C4C2×D411yescharacteristic
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59—21no—
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59C2×D411yescharacteristic
723C4×Dic59C2×D411yescharacteristic
724C4×Dic59C2411yescharacteristic
725#11745664—41no—
726C2×C59⋊C8—41no—
727C2×C59⋊C8C2411yescharacteristic
728C2×C59⋊C8C2411yescharacteristic
729C2×C59⋊C8C2411yescharacteristic
730C2×C59⋊C8C2411yescharacteristic
731D472—41no—
732#11745660—22no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59C22×D411yescharacteristic
740C23×C59C22×D411yescharacteristic
741C22×D59—22no—
742C22×D59—22no—
743C22×D59—22no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—41no—
747C22×D59—41no—
748C22×D59—41no—
749C22×D59—42no—
750C22×D59—42no—
751C22×D59—42no—
752C22×D59C22×D411yescharacteristic
753C22×D59C22×D411yescharacteristic
754C22×D59C22×D411yescharacteristic
755Q8×C59—21no—
756Q8×C59—21no—
757Q8×C59—21no—
758Q8×C59—21no—
759Q8×C59—21no—
760Q8×C59—21no—
761Q8×C59—21no—
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—42no—
765Q8×C59—81no—
766Q8×C59—81no—
767Q8×C59H(5,𝔽2)12yes—
768D4×C59—22no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—42no—
772D4×C59—42no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—42no—
785C2×C4×C59—42no—
786C2×C4×C59—81no—
787C2×C4×C59—81no—
788C2×C4×C59C22×D411yescharacteristic
789C2×C4×C59C22×D411yescharacteristic
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C2511yescharacteristic
793C22⋊D59—22no—
794C22⋊D59—41no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—42no—
798C22⋊D59—42no—
799C22⋊D59—42no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—41no—
809C2×Dic59—41no—
810C2×Dic59—42no—
811C2×Dic59—42no—
812C2×Dic59—42no—
813C2×Dic59—42no—
814C2×Dic59C22×D411yescharacteristic
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819D236—21no—
820D236—21no—
821D236—21no—
822D236—21no—
823D236—41no—
824D236—42no—
825D236—42no—
826D236—42no—
827D236—81no—
828D236—81no—
829C4×D59—24no—
830C4×D59—22no—
831C4×D59—21no—
832C4×D59—21no—
833C4×D59—21no—
834C4×D59—21no—
835C4×D59—21no—
836C4×D59—21no—
837C4×D59—41no—
838C4×D59—41no—
839C4×D59—41no—
840C4×D59—41no—
841C4×D59—41no—
842C4×D59—42no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—81no—
850C4×D59—81no—
851Dic118—24no—
852Dic118—21no—
853Dic118—21no—
854Dic118—21no—
855Dic118—42no—
856Dic118—42no—
857Dic118—42no—
858Dic118—42no—
859Dic118—42no—
860Dic118H(5,𝔽2)12yes—
861C8×C59—21no—
862C8×C59—21no—
863C8×C59—21no—
864C8×C59—21no—
865C59⋊C8—21no—
866C59⋊C8—21no—
867C59⋊C8—21no—
868C59⋊C8—21no—
869#61603—591nomaximal, Sylow
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—21no—
873C22×C59—21no—
874C22×C59—21no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59#57512yes—
879C22×C59C23×D411yescharacteristic
880C2×D59—21no—
881C2×D59—21no—
882C2×D59—21no—
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—44no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—82no—
896C2×D59—84no—
897C2×D59#57812yes—
898C4×C59—22no—
899C4×C59—21no—
900C4×C59—21no—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59C2×H(5,𝔽2)11yescharacteristic
910C4×C59C2×H(5,𝔽2)11yescharacteristic
911Dic59—21no—
912Dic59—22no—
913Dic59—21no—
914Dic59—21no—
915Dic59—21no—
916Dic59—21no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922#3520—591no—
923C2×#548—591no—
924#3327—591no—
925#3327—591no—
926#3313—591no—
927#3313—591no—
928#3308—591no—
929#3308—591no—
930#3300—591no—
931#3300—591no—
932#3285—591no—
933#3285—591no—
934#3277—591no—
935#3277—591no—
936#3270—591no—
937#3270D5911yescharacteristic, complemented
938#3269—591no—
939#3269—591no—
940#3215—591no—
941#3211—591no—
942#3196—591no—
943#3193—591no—
944#3189—591no—
945#3188—591no—
946#3117—591no—
947#3104—591no—
948#3007—591no—
949#3004—591no—
950#3002—591no—
951C2×#451—591no—
952#2974—591no—
953C2×C59—22no—
954C2×C59—41no—
955C2×C59—81no—
956C2×C59#348411yescharacteristic
957C2×C59C2×#57511yescharacteristic
958C2×C59C2×#57811yescharacteristic
959D59—22no—
960D59—41no—
961D59—41no—
962D59—81no—
963D59—81no—
964C22×#41—591no—
965C23×Q8—591no—
966C2×#137—591no—
967C2×#137—591no—
968C2×#137—591no—
969C2×#137C2×D5911yescharacteristic, complemented
970C2×#135—591no—
971C2×#135—591no—
972C22×Q16—591no—
973C22×Q16C2×D5911yescharacteristic, complemented
974#556—591no—
975#554—1181no—
976#552—591no—
977#552—591no—
978#551—1181no—
979#551—1181no—
980D4×Q8C2×D5911yescharacteristic, complemented
981#548—591no—
982#548—591no—
983#548—591no—
984#548—591no—
985#548—591no—
986#548—591no—
987#548—591no—
988#548—591no—
989#548—591no—
990#548—1181no—
991#548—1181no—
992#548—1181no—
993#548—1181no—
994#548C2×D5911yescharacteristic
995#547—591no—
996#547—591no—
997#546—1181no—
998#542—1181no—
999#539—1181no—
1000#539—1181no—
1001#533—591no—
1002#529—591no—
1003C2×#124—591no—
1004C2×#124—1181no—
1005#525—591no—
1006#525—591no—
1007C2×C22⋊Q8—591no—
1008C2×C22⋊Q8—591no—
1009C2×C22⋊Q8—591no—
1010C2×C22⋊Q8—1181no—
1011C2×#121—591no—
1012C2×#121—1181no—
1013#520—1181no—
1014C2×C4×Q8—591no—
1015C2×C4×D4—591no—
1016C2×C4×D4—1181no—
1017#497—591no—
1018#497C2×D5911yescharacteristic, complemented
1019#495—591no—
1020#495—591no—
1021#489—591no—
1022#489—591no—
1023#488—591no—
1024#488—591no—
1025#485—591no—
1026#485—591no—
1027#484—591no—
1028#484—591no—
1029#484—591no—
1030#484—591no—
1031#484—591no—
1032#482—591no—
1033#482—591no—
1034#481—591no—
1035#480—591no—
1036#480—591no—
1037#479—591no—
1038#479—591no—
1039#477—591no—
1040#477—591no—
1041#470—591no—
1042#470C2×D5911yescharacteristic, complemented
1043#468—591no—
1044#468—591no—
1045#468—591no—
1046#468—591no—
1047#468—591no—
1048#468—591no—
1049#467—591no—
1050#467—591no—
1051#467—591no—
1052#467—591no—
1053#466—591no—
1054#466—591no—
1055#465—591no—
1056#465C2×D5911yescharacteristic, complemented
1057#464—591no—
1058#464—591no—
1059#464—591no—
1060#464—591no—
1061#464—591no—
1062#464—591no—
1063#464—591no—
1064#464C2×D5911yescharacteristic, complemented
1065#463—591no—
1066#463—591no—
1067#462—591no—
1068#462C2×D5911yescharacteristic, complemented
1069#452—591no—
1070#452—591no—
1071#452—591no—
1072#452—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452C2×D5911yescharacteristic, complemented
1077#451—591no—
1078#451—591no—
1079#451—591no—
1080#451—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#451C2×D5911yescharacteristic, complemented
1090#451C2×D5911yescharacteristic, complemented
1091#450—591no—
1092#450—591no—
1093#450—591no—
1094#449—591no—
1095#449—591no—
1096#449—591no—
1097#449—591no—
1098#448—591no—
1099#448—591no—
1100#448—591no—
1101#448—591no—
1102#448—591no—
1103#448C2×D5911yescharacteristic, complemented
1104#447—591no—
1105#441—591no—
1106#441C2×D5911yescharacteristic, complemented
1107#440—591no—
1108#440—591no—
1109C4×Q16—591no—
1110C4×Q16—591no—
1111C4×Q16—591no—
1112C4×Q16—591no—
1113#436—591no—
1114#436—591no—
1115#435—591no—
1116#435—591no—
1117#435—591no—
1118#435C2×D5911yescharacteristic, complemented
1119C8×D4—591no—
1120C8×D4—591no—
1121#432—591no—
1122#431—591no—
1123#419—591no—
1124#419—591no—
1125#417—591no—
1126#417—591no—
1127#416—591no—
1128#416—591no—
1129C2×#103—591no—
1130C2×#103—591no—
1131#407—591no—
1132#407—591no—
1133C2×C22⋊C8—591no—
1134C2×C22⋊C8—591no—
1135C59#6160311yescharacteristic, complemented, Sylow
1136C2×#41—591no—
1137C2×#41—591no—
1138C2×#41—591no—
1139C2×#41—591no—
1140C2×#41—591no—
1141C2×#41—1181no—
1142C2×#41—1181no—
1143C2×#41—1181no—
1144C2×#41—2362no—
1145C2×#41—2362no—
1146C2×#41C22×D5911yescharacteristic
1147C22×Q8—591no—
1148C22×Q8—591no—
1149C22×Q8—591no—
1150C22×Q8—591no—
1151C22×Q8—591no—
1152C22×Q8—1181no—
1153C22×Q8—1181no—
1154C22×Q8—1181no—
1155C22×Q8—2362no—
1156C22×Q8—2362no—
1157C22×Q8C22×D5911yescharacteristic
1158C22×Q8C22×D5911yescharacteristic
1159C22×Q8C22×D5911yescharacteristic
1160C22×D4—591no—
1161C22×D4—591no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C23×C4—591no—
1165C23×C4—591no—
1166C23×C4—1181no—
1167C23×C4—1181no—
1168#137—42no—
1169#137—2362no—
1170#137—2362no—
1171#137—2362no—
1172#135—2362no—
1173#135—2362no—
1174C2×Q16—42no—
1175C2×Q16—591no—
1176C2×Q16—591no—
1177C2×Q16—591no—
1178C2×Q16—591no—
1179C2×Q16—591no—
1180C2×Q16—591no—
1181C2×Q16—2362no—
1182C2×Q16C22×D5911yescharacteristic
1183C2×Q16C22×D5911yescharacteristic
1184C2×Q16C22×D5911yescharacteristic
1185C2×Q16C22×D5911yescharacteristic
1186C2×Q16C22×D5911yescharacteristic
1187C2×Q16C22×D5911yescharacteristic
1188C2×SD16—591no—
1189C2×SD16—591no—
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16C22×D5911yescharacteristic
1196C2×SD16C22×D5911yescharacteristic
1197C2×SD16C22×D5911yescharacteristic
1198C2×D8—591no—
1199C2×D8—591no—
1200C2×M16—591no—
1201C2×M16—591no—
1202C2×M16—591no—
1203C2×M16C22×D5911yescharacteristic
1204C22×C8—591no—
1205C22×C8—591no—
1206C22×C8—591no—
1207C22×C8C22×D5911yescharacteristic
1208C4⋊Q8—21no—
1209C4⋊Q8—591no—
1210C4⋊Q8C22×D5911yescharacteristic
1211#126—1181no—
1212#126—1181no—
1213#126—1181no—
1214#126—1181no—
1215#126—1181no—
1216#125—591no—
1217#125—1181no—
1218#125—1181no—
1219#125—1181no—
1220#124—21no—
1221#124—591no—
1222#124—591no—
1223#124—591no—
1224#124—591no—
1225#124—1181no—
1226#124—1181no—
1227#124—1181no—
1228#124—1181no—
1229#124—1181no—
1230#124—1181no—
1231#124—1181no—
1232#124—1181no—
1233#124—1181no—
1234#124—1181no—
1235#124—1181no—
1236#124—1181no—
1237#124C22×D5911yescharacteristic
1238#123—1181no—
1239#123—1181no—
1240#123—1181no—
1241#123—1181no—
1242#123—1181no—
1243#123—1181no—
1244#123—1181no—
1245#123—1181no—
1246#123—1181no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—591no—
1251C22⋊Q8—591no—
1252C22⋊Q8—591no—
1253C22⋊Q8—591no—
1254C22⋊Q8—591no—
1255C22⋊Q8—591no—
1256C22⋊Q8—591no—
1257C22⋊Q8—591no—
1258C22⋊Q8—591no—
1259C22⋊Q8—591no—
1260C22⋊Q8—1181no—
1261C22⋊Q8—1181no—
1262C22⋊Q8—1181no—
1263C22⋊Q8—1181no—
1264C22⋊Q8—1181no—
1265C22⋊Q8—1181no—
1266C22⋊Q8—1181no—
1267C22⋊Q8—1181no—
1268C22⋊Q8—1181no—
1269C22⋊Q8—1181no—
1270C22⋊Q8—1181no—
1271C22⋊Q8—1181no—
1272C22⋊Q8—1181no—
1273C22⋊Q8—1181no—
1274C22⋊Q8—1181no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8C22×D5911yescharacteristic
1278C22⋊Q8C22×D5911yescharacteristic
1279C22⋊Q8C22×D5911yescharacteristic
1280#121—21no—
1281#121—591no—
1282#121—591no—
1283#121—591no—
1284#121—591no—
1285#121—591no—
1286#121—591no—
1287#121—1181no—
1288#121—1181no—
1289#121—1181no—
1290#121—1181no—
1291#121—1181no—
1292#121—1181no—
1293#121—1181no—
1294#121—1181no—
1295#121—1181no—
1296#121—1181no—
1297#121—1181no—
1298#121—1181no—
1299#121C22×D5911yescharacteristic
1300#120—1181no—
1301#120—1181no—
1302C4×Q8—591no—
1303C4×Q8—591no—
1304C4×Q8—591no—
1305C4×Q8—591no—
1306C4×Q8—591no—
1307C4×Q8—1181no—
1308C4×Q8—1181no—
1309C4×Q8—1181no—
1310C4×Q8—1181no—
1311C4×Q8C22×D5911yescharacteristic
1312C4×Q8C22×D5911yescharacteristic
1313C4×D4—21no—
1314C4×D4—21no—
1315C4×D4—591no—
1316C4×D4—591no—
1317C4×D4—591no—
1318C4×D4—591no—
1319C4×D4—591no—
1320C4×D4—591no—
1321C4×D4—591no—
1322C4×D4—591no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4—1181no—
1328C4×D4—1181no—
1329C4×D4—1181no—
1330C4×D4—1181no—
1331C4×D4—1181no—
1332C4×D4—1181no—
1333C4×D4—1181no—
1334C4×D4—1181no—
1335C4×D4—1181no—
1336C4×D4—1181no—
1337C4×D4C22×D5911yescharacteristic
1338#117—591no—
1339#117—591no—
1340#117—1181no—
1341#117—1181no—
1342#117—1181no—
1343#117—1181no—
1344C2×C4⋊C4—591no—
1345C2×C4⋊C4—591no—
1346C2×C4⋊C4—591no—
1347C2×C4⋊C4—591no—
1348C2×C4⋊C4—1181no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4—1181no—
1351C2×C4⋊C4—1181no—
1352C2×C4⋊C4—1181no—
1353C2×C22⋊C4—591no—
1354C2×C22⋊C4—591no—
1355C2×C22⋊C4—1181no—
1356C2×C22⋊C4—1181no—
1357C2×C22⋊C4—1181no—
1358C2×C22⋊C4—1181no—
1359C2×C22⋊C4—1181no—
1360C2×C22⋊C4—1181no—
1361C2×C42—591no—
1362C2×C42—1181no—
1363#107—591no—
1364#107—591no—
1365#107—591no—
1366#107—591no—
1367#107—591no—
1368#107—591no—
1369#106—591no—
1370#106C22×D5911yescharacteristic
1371C4⋊C8—591no—
1372C4⋊C8—591no—
1373C4⋊C8—591no—
1374C4⋊C8C22×D5911yescharacteristic
1375#103—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#103C22×D5911yescharacteristic
1393#103C22×D5911yescharacteristic
1394#103C22×D5911yescharacteristic
1395#103C22×D5911yescharacteristic
1396#103C22×D5911yescharacteristic
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#102C22×D5911yescharacteristic
1407C22⋊C8—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⋊C8C22×D5911yescharacteristic
1418C22⋊C8C22×D5911yescharacteristic
1419#97—591no—
1420#97C22×D5911yescharacteristic
1421C4×C8—591no—
1422C4×C8—591no—
1423C24—591no—
1424C24—591no—
1425C24—1181no—
1426#41—22no—
1427#41—41no—
1428#41—1182no—
1429#41—1182no—
1430#41—1182no—
1431#41—2361no—
1432#41—2364no—
1433#41—2361no—
1434#41—2361no—
1435#41—2361no—
1436#41—2361no—
1437#41—2361no—
1438#41—2361no—
1439#41—2364no—
1440#41—2364no—
1441C2×Q8—21no—
1442C2×Q8—21no—
1443C2×Q8—21no—
1444C2×Q8—22no—
1445C2×Q8—41no—
1446C2×Q8—41no—
1447C2×Q8—41no—
1448C2×Q8—41no—
1449C2×Q8—41no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—1181no—
1453C2×Q8—1181no—
1454C2×Q8—1181no—
1455C2×Q8—1181no—
1456C2×Q8—1182no—
1457C2×Q8—1182no—
1458C2×Q8—1182no—
1459C2×Q8—1181no—
1460C2×Q8—1181no—
1461C2×Q8—1182no—
1462C2×Q8—1182no—
1463C2×Q8—2361no—
1464C2×Q8—2364no—
1465C2×Q8—2361no—
1466C2×Q8—2361no—
1467C2×Q8—2361no—
1468C2×Q8—2361no—
1469C2×Q8—2364no—
1470C2×Q8—2364no—
1471C2×Q8C23×D5911yescharacteristic
1472C2×Q8C23×D5911yescharacteristic
1473C2×Q8C23×D5911yescharacteristic
1474C2×Q8C23×D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—591no—
1479C2×D4—591no—
1480C2×D4—591no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—1181no—
1484C2×D4—1181no—
1485C2×D4—1181no—
1486C2×D4—1181no—
1487C2×D4—1181no—
1488C2×D4—1181no—
1489C2×D4—1181no—
1490C2×D4—1181no—
1491C2×D4—1181no—
1492C2×D4—1181no—
1493C2×D4—1181no—
1494C2×D4—1181no—
1495C2×D4—2361no—
1496C2×D4—2361no—
1497C2×D4—2364no—
1498C2×D4—2362no—
1499C2×D4—2364no—
1500C2×D4D4×D5911yescharacteristic
1501C2×D4C23×D5911yescharacteristic
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—591no—
1509C22×C4—591no—
1510C22×C4—591no—
1511C22×C4—591no—
1512C22×C4—591no—
1513C22×C4—591no—
1514C22×C4—591no—
1515C22×C4—591no—
1516C22×C4—591no—
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×C4—1181no—
1528C22×C4—1181no—
1529C22×C4—1181no—
1530C22×C4—1181no—
1531C22×C4—2361no—
1532C22×C4—2361no—
1533C22×C4—2361no—
1534C22×C4—2361no—
1535C22×C4—2364no—
1536C22×C4—2364no—
1537C22×C4C23×D5911yescharacteristic
1538C22×C4C23×D5911yescharacteristic
1539Q16—22no—
1540Q16—22no—
1541Q16—22no—
1542Q16—41no—
1543Q16—41no—
1544Q16—41no—
1545Q16—1182no—
1546Q16—1182no—
1547Q16—1182no—
1548Q16—2361no—
1549Q16—2361no—
1550Q16—2361no—
1551SD16—41no—
1552SD16—41no—
1553SD16—41no—
1554SD16—1182no—
1555SD16—1182no—
1556SD16—2361no—
1557SD16—2361no—
1558SD16—2361no—
1559SD16—2361no—
1560SD16—2361no—
1561D8—2361no—
1562D8—2361no—
1563M16—41no—
1564M16—2361no—
1565M16—2361no—
1566M16—2361no—
1567C2×C8—41no—
1568C2×C8—591no—
1569C2×C8—591no—
1570C2×C8—591no—
1571C2×C8—591no—
1572C2×C8—2361no—
1573C2×C8—2361no—
1574C2×C8—2361no—
1575C2×C8C23×D5911yescharacteristic
1576C2×C8C23×D5911yescharacteristic
1577C2×C8C23×D5911yescharacteristic
1578C2×C8C23×D5911yescharacteristic
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—591no—
1589C4⋊C4—591no—
1590C4⋊C4—591no—
1591C4⋊C4—591no—
1592C4⋊C4—591no—
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⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4—1181no—
1610C4⋊C4—1181no—
1611C4⋊C4—1181no—
1612C4⋊C4—1181no—
1613C4⋊C4—1181no—
1614C4⋊C4D4×D5911yescharacteristic
1615C4⋊C4C23×D5911yescharacteristic
1616C4⋊C4C23×D5911yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—1181no—
1630C22⋊C4—1181no—
1631C22⋊C4—1181no—
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⋊C4—1181no—
1650C22⋊C4—1181no—
1651C22⋊C4—1181no—
1652C22⋊C4—1181no—
1653C22⋊C4—1181no—
1654C22⋊C4—1181no—
1655C22⋊C4—1181no—
1656C22⋊C4D4×D5911yescharacteristic
1657C22⋊C4D4×D5911yescharacteristic
1658C42—21no—
1659C42—21no—
1660C42—591no—
1661C42—591no—
1662C42—591no—
1663C42—1181no—
1664C42—1181no—
1665C42—1181no—
1666C42—1181no—
1667C42—1181no—
1668C42—1181no—
1669C42—1181no—
1670C42C23×D5911yescharacteristic
1671C23—21no—
1672C23—591no—
1673C23—591no—
1674C23—591no—
1675C23—1182no—
1676C23—1182no—
1677C23—1182no—
1678C23—1181no—
1679C23—1181no—
1680C23—2361no—
1681C23—2361no—
1682C23—2361no—
1683C23—2362no—
1684C23—2362no—
1685C23—2362no—
1686C23C2×D4×D5911yescharacteristic
1687C23C2×D4×D5911yescharacteristic
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—21no—
1694Q8—21no—
1695Q8—21no—
1696Q8—21no—
1697Q8—42no—
1698Q8—81no—
1699Q8—81no—
1700Q8—592no—
1701Q8—1184no—
1702Q8—1181no—
1703Q8—1181no—
1704Q8—1181no—
1705Q8—2362no—
1706Q8—2362no—
1707Q8—2362no—
1708Q8—2362no—
1709Q8—2362no—
1710Q8#1427377212yes—
1711D4—22no—
1712D4—21no—
1713D4—21no—
1714D4—42no—
1715D4—42no—
1716D4—1182no—
1717D4—1181no—
1718D4—1181no—
1719D4—1181no—
1720D4—1181no—
1721D4—4721no—
1722D4—4721no—
1723D4—2361no—
1724D4—2362no—
1725D4—2362no—
1726D4—2362no—
1727D4—2361no—
1728D4—2362no—
1729D4—2362no—
1730D4—2362no—
1731D4—2362no—
1732D4—2362no—
1733D4—2362no—
1734D4—2362no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—81no—
1749C2×C4—81no—
1750C2×C4—591no—
1751C2×C4—591no—
1752C2×C4—591no—
1753C2×C4—591no—
1754C2×C4—591no—
1755C2×C4—1182no—
1756C2×C4—1184no—
1757C2×C4—1181no—
1758C2×C4—1181no—
1759C2×C4—1181no—
1760C2×C4—1181no—
1761C2×C4—1181no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—4721no—
1770C2×C4—4721no—
1771C2×C4—2361no—
1772C2×C4—2361no—
1773C2×C4—2361no—
1774C2×C4—2361no—
1775C2×C4—2361no—
1776C2×C4—2362no—
1777C2×C4—2362no—
1778C2×C4—2362no—
1779C2×C4—2362no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2361no—
1784C2×C4—2361no—
1785C2×C4—2362no—
1786C2×C4—2362no—
1787C2×C4—2362no—
1788C2×C4—2362no—
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C2×D4×D5911yescharacteristic
1792C2×C4C2×D4×D5911yescharacteristic
1793C2×C4C24×D5911yescharacteristic
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—21no—
1798C8—1181no—
1799C8—1181no—
1800C8—1181no—
1801C8—1181no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—592no—
1811C22—1181no—
1812C22—1181no—
1813C22—1181no—
1814C22—1181no—
1815C22—1181no—
1816C22—1181no—
1817C22—1181no—
1818C22—1181no—
1819C22—4722no—
1820C22—4724no—
1821C22—2364no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22—2361no—
1826C22—2361no—
1827C22—2361no—
1828C22#1683820112yes—
1829C22C22×D4×D5911yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—22no—
1833C4—21no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—1181no—
1842C4—1181no—
1843C4—1181no—
1844C4—1182no—
1845C4—1181no—
1846C4—1181no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4H(5,𝔽2)×D5911yescharacteristic
1853C4C2×#1427377211yescharacteristic
1854C2—22no—
1855C2—41no—
1856C2—81no—
1857C2—1182no—
1858C2—4721no—
1859C2—4721no—
1860C2—2361no—
1861C2—2361no—
1862C2#2143772411yescharacteristic
1863C2C2×#1683820111yescharacteristic
1864C2#578×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3270C2
socleC22×C59C23×D4
hypercenter#3270D59
hypocenterC59#61603
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3270

Complements

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

NH ≅ G/Ntype
1. #21438146C2semidirect
2. #548×D59C2semidirect
3. #21436359C2semidirect
4. #21436357C2semidirect
5. #21436169C2semidirect
6. #21436167C2semidirect
7. #21436089C2semidirect
8. #21436087C2semidirect
9. #21435989C2semidirect
10. #21435987C2semidirect
11. #21435837C2semidirect
12. #21435830C2semidirect
13. #21435753C2semidirect
14. #21435747C2semidirect
15. #21435667C2semidirect
16. #21435650C2semidirect
17. #21435646C2semidirect
18. #21435094C2semidirect
19. #21435065C2semidirect
20. #21434927C2semidirect
21. #21434900C2semidirect
22. #21434869C2semidirect
23. #21434862C2semidirect
24. #21434271C2semidirect
25. #21434134C2semidirect
26. #21433352C2semidirect
27. #21433331C2semidirect
28. #21433317C2semidirect
29. C2×#16837556C2semidirect
30. #21433126C2semidirect
31. C59×#3270C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273759C22semidirect
36. C2×#14273758C22semidirect
37. C2×#14273750C22semidirect
38. C2×#14273748C22semidirect
39. C22×#11745672C22semidirect
40. #16838125C22semidirect
42. #16838094C22semidirect
43. #16838094C22semidirect
48. #16838063C22semidirect
49. #16838063C22semidirect
59. #16838056C22semidirect
60. #16838055C22semidirect
81. #16837794C22semidirect
82. #16837787C22semidirect
83. #16837783C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837758C22semidirect
87. #16837755C22semidirect
88. #16837746C22semidirect
89. #16837742C22semidirect
90. #16837738C22semidirect
94. #16837735C22semidirect
95. #16837728C22semidirect
96. #16837724C22semidirect
98. #16837716C22semidirect
99. #16837713C22semidirect
100. #16837712C22semidirect
101. #16837711C22semidirect
102. #16837698C22semidirect
103. #16837697C22semidirect
104. #16837658C22semidirect
105. #16837651C22semidirect
106. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837648C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837642C22semidirect
112. #16837642C22semidirect
113. #16837640C22semidirect
114. #16837640C22semidirect
115. #16837638C22semidirect
116. #16837636C22semidirect
117. #16837633C22semidirect
118. #16837627C22semidirect
119. #16837626C22semidirect
120. #16837626C22semidirect
121. #16837626C22semidirect
122. #16837624C22semidirect
123. #16837622C22semidirect
124. #16837622C22semidirect
125. #16837618C22semidirect
126. #16837614C22semidirect
127. #16837609C22semidirect
128. #16837567C22semidirect
129. #16837563C22semidirect
130. #16837563C22semidirect
131. #16837563C22semidirect
132. #16837562C22semidirect
133. #16837561C22semidirect
134. #16837561C22semidirect
135. #16837558C22semidirect
136. #16837557C22semidirect
143. #16837556C22semidirect
144. #16837556C22semidirect
145. #16837556C22semidirect
146. #16837556C22semidirect
150. #16837550C22semidirect
151. #16837549C22semidirect
152. #16837547C22semidirect
153. #16837546C22semidirect
154. #16837543C22semidirect
157. #16837541C22semidirect
158. #16837541C22semidirect
160. #16837507C22semidirect
161. #16837504C22semidirect
162. #16837500C22semidirect
163. Q16×Dic59C22semidirect
164. Q16×Dic59C22semidirect
165. #16837494C22semidirect
166. #16837494C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
176. #16837409C22semidirect
177. #16837409C22semidirect
178. #16837404C22semidirect
179. #16837403C22semidirect
180. #16837397C22semidirect
181. #16837395C22semidirect
182. C2×#14273652C22semidirect
183. C2×#14273651C22semidirect
188. C2×#137×C59C22semidirect
189. C22×Q16×C59C22semidirect
190. D4×Q8×C59C22semidirect
192. C59×#497C22semidirect
193. C59×#470C22semidirect
194. C59×#465C22semidirect
195. C59×#464C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#451C22semidirect
199. C59×#451C22semidirect
200. C59×#448C22semidirect
201. C59×#441C22semidirect
202. C59×#435C22semidirect
937. #3270D59semidirect
969. C2×#137C2×D59semidirect
973. C22×Q16C2×D59semidirect
980. D4×Q8C2×D59semidirect
1018. #497C2×D59semidirect
1042. #470C2×D59semidirect
1056. #465C2×D59semidirect
1064. #464C2×D59semidirect
1068. #462C2×D59semidirect
1076. #452C2×D59semidirect
1089. #451C2×D59semidirect
1090. #451C2×D59semidirect
1103. #448C2×D59semidirect
1106. #441C2×D59semidirect
1118. #435C2×D59semidirect
1135. C59#61603semidirect

Maximal subgroups

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

subgroupindex
#214381462
#548×D592
#214363592
#214363572
#214361692
#214361672
#214360892
#214360872
#214359892
#214359872
#214358372
#214358302
#214357532
#214357472
#214356672
#214356502
#214356462
#214350942
#214350652
#214349272
#214349002
#214348692
#214348622
#214342712
#214341342
#214333522
#214333312
#214333172
C2×#168375562
#214331262
C59×#32702
#6160359