Finite Group Databasebeta

← #29475744

Subgroups — #29475744

Order 15104.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1886 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438505C211yesmaximal, characteristic, complemented
2#21437859C211yesmaximal, characteristic
3#21436325C211yesmaximal, characteristic, complemented
4#21436322C211yesmaximal, characteristic, complemented
5#21436138C211yesmaximal, characteristic, complemented
6#21436135C211yesmaximal, characteristic, complemented
7#21436130C211yesmaximal, characteristic, complemented
8#21436127C211yesmaximal, characteristic, complemented
9#21436011C211yesmaximal, characteristic, complemented
10#21436008C211yesmaximal, characteristic, complemented
11#21435789C211yesmaximal, characteristic, complemented
12#21435785C211yesmaximal, characteristic, complemented
13#21435739C211yesmaximal, characteristic, complemented
14#21435735C211yesmaximal, characteristic, complemented
15#21435613C211yesmaximal, characteristic, complemented
16#21435609C211yesmaximal, characteristic, complemented
17#21435603C211yesmaximal, characteristic, complemented
18#21435599C211yesmaximal, characteristic, complemented
19#21435104C211yesmaximal, characteristic, complemented
20#21435050C211yesmaximal, characteristic, complemented
21#21434985C211yesmaximal, characteristic, complemented
22#21434983C211yesmaximal, characteristic, complemented
23#21434972C211yesmaximal, characteristic, complemented
24#21434192C211yesmaximal, characteristic, complemented
25#21434101C211yesmaximal, characteristic, complemented
26#21433375C211yesmaximal, characteristic, complemented
27#21433371C211yesmaximal, characteristic, complemented
28#21433370C211yesmaximal, characteristic, complemented
29#21433370C211yesmaximal, characteristic, complemented
30#21433169C211yesmaximal, characteristic, complemented
31C59×#3201C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273773C2211yescharacteristic
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273759C2211yescharacteristic, complemented
37C2×#14273758C2211yescharacteristic, complemented
38C22×#11745660C2211yescharacteristic, complemented
39C22×#11745671C2211yescharacteristic, complemented
40C2×SD16×D59C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838155—21no—
43#16838151—21no—
44#16838136—21no—
45#16838132—21no—
46#16838123C2211yescharacteristic, complemented
47#16838123C2211yescharacteristic, complemented
48#16838120C2211yescharacteristic, complemented
49#16838120C2211yescharacteristic, complemented
50Q8×C22⋊D59C2211yescharacteristic, complemented
51Q8×C22⋊D59C2211yescharacteristic, complemented
52#16838065C2211yescharacteristic, complemented
53#16838065C2211yescharacteristic, complemented
54#16838054—21no—
55#16838054C2211yescharacteristic
56#16838054C2211yescharacteristic
57#16838049—21no—
58#16838049C2211yescharacteristic
59#16838049C2211yescharacteristic
60#16838043—21no—
61#16838043C2211yescharacteristic
62#16838043C2211yescharacteristic
63#16838036—21no—
64#16838036C2211yescharacteristic
65#16838036C2211yescharacteristic
66#16838020—21no—
67#16838020—21no—
68#16838016—21no—
69#16838016—21no—
70#16837983C2211yescharacteristic
71#16837975C2211yescharacteristic, complemented
72#16837975C2211yescharacteristic, complemented
73#16837973C2211yescharacteristic, complemented
74#16837960—21no—
75#16837960—21no—
76#16837954C2211yescharacteristic, complemented
77#16837954C2211yescharacteristic, complemented
78#16837948C2211yescharacteristic
79#16837948C2211yescharacteristic
80#121×D59—21no—
81#121×D59—21no—
82C2×#14273689C2211yescharacteristic
83#16837795C2211yescharacteristic, complemented
84#16837793C2211yescharacteristic, complemented
85#16837780C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837763C2211yescharacteristic, complemented
88#16837760C2211yescharacteristic, complemented
89#16837751C2211yescharacteristic, complemented
90#16837747C2211yescharacteristic, complemented
91#16837746C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837740C2211yescharacteristic, complemented
94#16837737C2211yescharacteristic, complemented
95#16837732C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837723C2211yescharacteristic, complemented
99#16837691C2211yescharacteristic, complemented
100#16837691C2211yescharacteristic, complemented
101#16837681C2211yescharacteristic, complemented
102#16837681C2211yescharacteristic, complemented
103#16837661C2211yescharacteristic, complemented
104#16837659C2211yescharacteristic, complemented
105#16837658C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837649C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837644C2211yescharacteristic, complemented
110#16837642C2211yescharacteristic, complemented
111#16837641C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837632C2211yescharacteristic, complemented
114#16837629C2211yescharacteristic, complemented
115#16837627C2211yescharacteristic, complemented
116#16837626C2211yescharacteristic, complemented
117#16837623C2211yescharacteristic, complemented
118#16837622C2211yescharacteristic, complemented
119#16837611C2211yescharacteristic, complemented
120#16837610C2211yescharacteristic, complemented
121#16837606C2211yescharacteristic, complemented
122#16837606C2211yescharacteristic, complemented
123#16837606C2211yescharacteristic, complemented
124#16837606C2211yescharacteristic, complemented
125#16837601C2211yescharacteristic, complemented
126#16837600C2211yescharacteristic, complemented
127#16837567C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837566C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837562C2211yescharacteristic, complemented
139#16837562C2211yescharacteristic, complemented
140#16837562C2211yescharacteristic, complemented
141#16837559C2211yescharacteristic, complemented
142#16837559C2211yescharacteristic, complemented
143#16837557C2211yescharacteristic, complemented
144#16837555C2211yescharacteristic
145#16837555C2211yescharacteristic
146#16837555C2211yescharacteristic, complemented
147#16837555C2211yescharacteristic, complemented
148#16837554C2211yescharacteristic, complemented
149#16837554C2211yescharacteristic, complemented
150#16837552C2211yescharacteristic
151#16837552C2211yescharacteristic
152#16837552C2211yescharacteristic, complemented
153#16837552C2211yescharacteristic, complemented
154#16837551C2211yescharacteristic, complemented
155#16837551C2211yescharacteristic, complemented
156#16837542C2211yescharacteristic, complemented
157#16837542C2211yescharacteristic, complemented
158#16837540C2211yescharacteristic, complemented
159#16837505C2211yescharacteristic, complemented
160#16837505C2211yescharacteristic, complemented
161#16837501C2211yescharacteristic, complemented
162#16837501C2211yescharacteristic, complemented
163#16837489C2211yescharacteristic, complemented
164#16837489C2211yescharacteristic, complemented
165#16837487C2211yescharacteristic, complemented
166#16837487C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837473C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172#16837470C2211yescharacteristic, complemented
173C8×C22⋊D59C2211yescharacteristic, complemented
174(C22⋊D59)⋊C8C2211yescharacteristic, complemented
175#16837456C2211yescharacteristic, complemented
176#16837452C2211yescharacteristic, complemented
177#16837408C2211yescharacteristic, complemented
178#16837406C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837399C2211yescharacteristic, complemented
182#16837397C2211yescharacteristic, complemented
183#16837397C2211yescharacteristic, complemented
184#16837396C2211yescharacteristic, complemented
185#16837369C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#16837367C2211yescharacteristic, complemented
188C59×#537C2211yescharacteristic
189C59×#536C2211yescharacteristic, complemented
190C59×#485C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#482C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#467C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#452C2211yescharacteristic, complemented
200C59×#451C2211yescharacteristic, complemented
201C59×#448C2211yescharacteristic, complemented
202C59×#408C2211yescharacteristic, complemented
203#14273773—42no—
204#14273773—42no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689—21no—
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745685—21no—
211C2×#11745685C2311yescharacteristic
212C2×#11745685C2311yescharacteristic
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C22×Dic118C2311yescharacteristic
216C2×Q8×D59C2311yescharacteristic
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C22×D236C2311yescharacteristic
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59—21no—
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232#14273760—42no—
233#14273759—42no—
234#14273759—42no—
235#14273758—42no—
236C2×Dic236C2311yescharacteristic
237C2×Dic236C2311yescharacteristic
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745672C2311yescharacteristic
241C2×#11745672C2311yescharacteristic
242C2×#11745660—42no—
243C2×#11745660C2311yescharacteristic
244C2×#11745660C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745670C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745671—42no—
252C2×#11745671C2311yescharacteristic
253C2×#11745671C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257C2×#11745671C2311yescharacteristic
258SD16×D59—42no—
259SD16×D59—42no—
260C2×#11745664C2311yescharacteristic
261C2×#11745659C2311yescharacteristic
262C2×#11745659C2311yescharacteristic
263C22×C59⋊C8C2311yescharacteristic
264C2×C8×D59C2311yescharacteristic
265C2×C8×D59C2311yescharacteristic
266#14273726—21no—
267#14273726—21no—
268#14273726—21no—
269#14273726—21no—
270#14273726C2311yescharacteristic
271#14273726C2311yescharacteristic
272#14273725—21no—
273#14273725—21no—
274#14273725—21no—
275#14273725D411yescharacteristic
276#14273725C2311yescharacteristic
277#14273725C2311yescharacteristic
278#14273725C2311yescharacteristic
279#14273723D411yescharacteristic
280#14273723C2311yescharacteristic
281#14273722—21no—
282#14273722—21no—
283#14273721—21no—
284#14273721—21no—
285#14273720—21no—
286#14273720—21no—
287#14273720—21no—
288#14273720—21no—
289#14273717—21no—
290#14273717—21no—
291#14273716D411yescharacteristic
292#14273716C2311yescharacteristic
293#14273714—21no—
294#14273714D411yescharacteristic
295#14273714C2311yescharacteristic
296#14273713—21no—
297#14273713—21no—
298#14273713—21no—
299#14273713—21no—
300#14273713—21no—
301#14273713—21no—
302#14273712—21no—
303#14273712—21no—
304#14273712—21no—
305#14273712—21no—
306#14273712—21no—
307#14273712—21no—
308#14273709—21no—
309#14273709—21no—
310#14273709—21no—
311#14273709—21no—
312#14273709—21no—
313#14273709—21no—
314#14273708—21no—
315#14273708—21no—
316#14273707—21no—
317#14273707C2311yescharacteristic
318#14273707C2311yescharacteristic
319#14273707C2311yescharacteristic
320#14273707C2311yescharacteristic
321#14273706—21no—
322#14273706—21no—
323#14273706C2311yescharacteristic
324#14273706C2311yescharacteristic
325#14273706C2311yescharacteristic
326#14273706C2311yescharacteristic
327#14273705—21no—
328#14273705—21no—
329#14273704—21no—
330#14273704—21no—
331#14273704—21no—
332#14273704—21no—
333#14273703—21no—
334#14273703—21no—
335#14273703C2311yescharacteristic
336#14273703C2311yescharacteristic
337#14273702—21no—
338#14273702—21no—
339#14273702—21no—
340#14273702C2311yescharacteristic
341#14273702C2311yescharacteristic
342#14273701—21no—
343#14273701—21no—
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273699—21no—
349#14273699—21no—
350#14273699D411yescharacteristic
351#14273699D411yescharacteristic
352#14273699D411yescharacteristic
353#14273699D411yescharacteristic
354#14273698—21no—
355#14273698—21no—
356#14273697—21no—
357#14273697—21no—
358#14273697—21no—
359#14273697—21no—
360#14273695—21no—
361#14273695—21no—
362#14273695—21no—
363#14273695—21no—
364Q8×Dic59C2311yescharacteristic
365Q8×Dic59C2311yescharacteristic
366C4×Dic118—21no—
367C4×Dic118—21no—
368#14273692—21no—
369#14273692—21no—
370#14273692—21no—
371#14273692—21no—
372#14273692C2311yescharacteristic
373#14273692C2311yescharacteristic
374#14273689—21no—
375#14273689—21no—
376#14273689C2311yescharacteristic
377#14273689C2311yescharacteristic
378#14273689C2311yescharacteristic
379#14273689C2311yescharacteristic
380C4×C22⋊D59—21no—
381C4×C22⋊D59—21no—
382C4×C22⋊D59—21no—
383C4×C22⋊D59—21no—
384C4×C22⋊D59C2311yescharacteristic
385C4×C22⋊D59C2311yescharacteristic
386C4×C22⋊D59C2311yescharacteristic
387C4×C22⋊D59C2311yescharacteristic
388(C22⋊D59)⋊C4—21no—
389(C22⋊D59)⋊C4—21no—
390#14273686C2311yescharacteristic
391#14273685C2311yescharacteristic
392#14273685C2311yescharacteristic
393#14273683—21no—
394#14273683—21no—
395C4⋊C4×D59—21no—
396C4⋊C4×D59—21no—
397C2×(C2×D59)⋊C4—21no—
398C22⋊C4×D59—21no—
399C22⋊C4×D59—21no—
400C22⋊C4×D59—21no—
401C22⋊C4×D59—21no—
402C2×C4×Dic59C2311yescharacteristic
403#14273660C2311yescharacteristic
404#14273660C2311yescharacteristic
405#14273658C2311yescharacteristic
406#14273658C2311yescharacteristic
407Dic59⋊C8C2311yescharacteristic
408Dic59⋊C8C2311yescharacteristic
409Dic59⋊C8C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
426#14273649C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437C22⋊(C59⋊C8)C2311yescharacteristic
438C22⋊(C59⋊C8)C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443#14273637C2311yescharacteristic
444#14273637C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C2×#41×C59C2311yescharacteristic
449C22×Q8×C59C2311yescharacteristic
450C2×Q16×C59C2311yescharacteristic
451C2×Q16×C59C2311yescharacteristic
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×M16×C59C2311yescharacteristic
455C22×C8×C59C2311yescharacteristic
456C4⋊Q8×C59—21no—
457#124×C59—21no—
458#123×C59—21no—
459#123×C59—21no—
460C22⋊Q8×C59—21no—
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463C22⋊Q8×C59C2311yescharacteristic
464C22⋊Q8×C59C2311yescharacteristic
465C22⋊Q8×C59C2311yescharacteristic
466C22⋊Q8×C59C2311yescharacteristic
467#121×C59—21no—
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#117×C59C2311yescharacteristic
473C2×C4⋊C4×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476#106×C59C2311yescharacteristic
477#106×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486C22⋊C8×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490C23×D59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59—21no—
495#41×C59—41no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—41no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2×D411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×Q8×C59C2411yescharacteristic
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59C2×D411yescharacteristic
510C2×D4×C59C2×D411yescharacteristic
511C2×D4×C59C2×D411yescharacteristic
512C2×D4×C59C2411yescharacteristic
513C22×C4×C59—21no—
514C22×C4×C59—21no—
515C22×C4×C59—21no—
516C22×C4×C59C2411yescharacteristic
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
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C2×C22⋊D59C2×D411yescharacteristic
531C2×C22⋊D59C2×D411yescharacteristic
532C22×Dic59—21no—
533C22×Dic59C2×D411yescharacteristic
534C22×Dic59C2×D411yescharacteristic
535#11745689—22no—
536#11745689—22no—
537#11745689—41no—
538#11745689—41no—
539#11745689—44no—
540Q8×D59—41no—
541Q8×D59—41no—
542Q8×D59—41no—
543Q8×D59—41no—
544D4×D59—22no—
545D4×D59—22no—
546D4×D59—41no—
547D4×D59—41no—
548D4×D59—44no—
549D4×D59—44no—
550D4×D59—44no—
551D4×D59—44no—
552D4×D59—44no—
553D4×D59—82no—
554D4×D59—82no—
555#11745685—22no—
556#11745685—22no—
557#11745685—41no—
558#11745685—41no—
559#11745685—41no—
560#11745685—41no—
561#11745685—41no—
562#11745685—41no—
563#11745685—44no—
564C2×D236—21no—
565C2×D236—22no—
566C2×D236—22no—
567C2×D236—22no—
568C2×D236—22no—
569C2×D236—21no—
570C2×D236—21no—
571C2×D236—21no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—41no—
576C2×D236—41no—
577C2×D236—44no—
578C2×D236C2×D411yescharacteristic
579C2×D236C2411yescharacteristic
580C2×D236C2411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×C4×D59—21no—
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—82no—
594C2×C4×D59C2411yescharacteristic
595C2×C4×D59C2411yescharacteristic
596C2×Dic118—21no—
597C2×Dic118—21no—
598C2×Dic118—21no—
599C2×Dic118—21no—
600C2×Dic118—21no—
601C2×Dic118—41no—
602C2×Dic118—41no—
603C2×Dic118C2×D411yescharacteristic
604C2×Dic118C2411yescharacteristic
605C2×Dic118C2411yescharacteristic
606C2×Dic118C2411yescharacteristic
607Q16×C59—41no—
608Q16×C59—41no—
609SD16×C59—41no—
610SD16×C59—41no—
611M16×C59—41no—
612C2×C8×C59—41no—
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C2×C8×C59C2411yescharacteristic
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59—21no—
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59C2411yescharacteristic
625C4⋊C4×C59C2411yescharacteristic
626C4⋊C4×C59C2411yescharacteristic
627C4⋊C4×C59C2411yescharacteristic
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C42×C59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59—21no—
645C22⋊Dic59C2×D411yescharacteristic
646C22⋊Dic59C2×D411yescharacteristic
647C22⋊Dic59C2×D411yescharacteristic
648C22⋊Dic59C2×D411yescharacteristic
649#11745672—41no—
650#11745672—41no—
651#11745672—41no—
652#11745672—41no—
653#11745671—22no—
654#11745671—22no—
655#11745671—22no—
656#11745671—22no—
657#11745671—41no—
658#11745671—41no—
659#11745670—41no—
660#11745670—41no—
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)⋊C4C2×D411yescharacteristic
678(C2×D59)⋊C4C2×D411yescharacteristic
679(C2×D59)⋊C4C2×D411yescharacteristic
680(C2×D59)⋊C4C2×D411yescharacteristic
681C4⋊Dic59—21no—
682C4⋊Dic59—21no—
683C4⋊Dic59—21no—
684C4⋊Dic59—21no—
685C4⋊Dic59—21no—
686C4⋊Dic59—21no—
687C4⋊Dic59C2411yescharacteristic
688C4⋊Dic59C2411yescharacteristic
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4—21no—
696Dic59⋊C4—21no—
697Dic59⋊C4—21no—
698Dic59⋊C4—21no—
699Dic59⋊C4—21no—
700Dic59⋊C4—21no—
701Dic59⋊C4—21no—
702Dic59⋊C4—21no—
703Dic59⋊C4—21no—
704Dic59⋊C4—21no—
705Dic59⋊C4C2×D411yescharacteristic
706Dic59⋊C4C2×D411yescharacteristic
707Dic59⋊C4C2×D411yescharacteristic
708Dic59⋊C4C2×D411yescharacteristic
709C4×Dic59—21no—
710C4×Dic59—21no—
711C4×Dic59—21no—
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59C2×D411yescharacteristic
717C4×Dic59C2×D411yescharacteristic
718C4×Dic59C2411yescharacteristic
719C4×Dic59C2411yescharacteristic
720#11745664—41no—
721C2×C59⋊C8—41no—
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725C2×C59⋊C8C2411yescharacteristic
726Dic236—41no—
727Dic236—41no—
728#11745660—22no—
729#11745660—22no—
730#11745660—22no—
731#11745660—22no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736C8×D59—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59C22×D411yescharacteristic
740C23×C59C22×D411yescharacteristic
741C23×C59C22×D411yescharacteristic
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—24no—
745C22×D59—21no—
746C22×D59—42no—
747C22×D59—42no—
748C22×D59—42no—
749C22×D59—42no—
750C22×D59—81no—
751C22×D59—81no—
752C22×D59—81no—
753C22×D59—81no—
754C22×D59—81no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762Q8×C59—21no—
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—41no—
769Q8×C59—81no—
770D4×C59—21no—
771D4×C59—21no—
772D4×C59—41no—
773D4×C59—41no—
774D4×C59—41no—
775D4×C59—42no—
776D4×C59—81no—
777D4×C59—81no—
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—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—42no—
792C2×C4×C59—81no—
793C2×C4×C59—81no—
794C2×C4×C59C22×D411yescharacteristic
795C2×C4×C59C22×D411yescharacteristic
796C2×C4×C59C22×D411yescharacteristic
797C2×C4×C59C2511yescharacteristic
798C22⋊D59—22no—
799C22⋊D59—22no—
800C22⋊D59—41no—
801C22⋊D59—41no—
802C22⋊D59—41no—
803C22⋊D59—41no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—81no—
811C2×Dic59—22no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—41no—
818C2×Dic59—81no—
819C2×Dic59C22×D411yescharacteristic
820C2×Dic59C22×D411yescharacteristic
821C2×Dic59C22×D411yescharacteristic
822C2×Dic59C22×D411yescharacteristic
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825D236—24no—
826D236—21no—
827D236—21no—
828D236—21no—
829D236—21no—
830D236—41no—
831D236—42no—
832D236—42no—
833D236—42no—
834D236—42no—
835D236—81no—
836D236—81no—
837D236H(5,𝔽2)12yes—
838D236H(5,𝔽2)12yes—
839C4×D59—21no—
840C4×D59—21no—
841C4×D59—21no—
842C4×D59—21no—
843C4×D59—42no—
844C4×D59—42no—
845C4×D59—42no—
846C4×D59—42no—
847C4×D59—42no—
848C4×D59—42no—
849C4×D59—42no—
850C4×D59—81no—
851C4×D59—81no—
852C4×D59—81no—
853C4×D59—81no—
854Dic118—21no—
855Dic118—21no—
856Dic118—21no—
857Dic118—21no—
858Dic118—21no—
859Dic118—21no—
860Dic118—41no—
861Dic118—42no—
862Dic118—42no—
863Dic118—81no—
864Dic118—81no—
865Dic118—81no—
866C8×C59—21no—
867C8×C59—21no—
868C8×C59—21no—
869C8×C59—21no—
870C59⋊C8—21no—
871C59⋊C8—21no—
872C59⋊C8—21no—
873C59⋊C8—21no—
874#61680—591nomaximal, Sylow
875C22×C59—21no—
876C22×C59—21no—
877C22×C59—21no—
878C22×C59—21no—
879C22×C59—21no—
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59C23×D411yescharacteristic
888C2×D59—21no—
889C2×D59—21no—
890C2×D59—21no—
891C2×D59—21no—
892C2×D59—22no—
893C2×D59—22no—
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—84no—
904C2×D59—162no—
905C2×D59—162no—
906C2×D59—162no—
907C2×D59—162no—
908C4×C59—21no—
909C4×C59—21no—
910C4×C59—21no—
911C4×C59—41no—
912C4×C59—41no—
913C4×C59—41no—
914C4×C59—41no—
915C4×C59—41no—
916C4×C59—41no—
917C4×C59—41no—
918C4×C59C2×H(5,𝔽2)11yescharacteristic
919C4×C59C2×H(5,𝔽2)11yescharacteristic
920Dic59—21no—
921Dic59—21no—
922Dic59—21no—
923Dic59—21no—
924Dic59—21no—
925Dic59—41no—
926Dic59—41no—
927Dic59—41no—
928Dic59—41no—
929Dic59—41no—
930Dic59#57712yes—
931#3550—591no—
932#3496—591no—
933#3324—591no—
934#3324—591no—
935#3311—591no—
936#3311—591no—
937#3311—591no—
938#3311—591no—
939#3302—591no—
940#3302—591no—
941D4×SD16—591no—
942D4×SD16—591no—
943#3276—591no—
944#3276—591no—
945#3266—591no—
946#3266—591no—
947#3266—591no—
948#3266—591no—
949#3216—591no—
950#3210—591no—
951#3201—591no—
952#3201—591no—
953#3201—591no—
954#3201D5911yescharacteristic, complemented
955#3110—591no—
956#3101—591no—
957#3009—591no—
958#3009—591no—
959#3009—591no—
960#3009—591no—
961#2981—591no—
962C2×C59—41no—
963C2×C59—41no—
964C2×C59—41no—
965C2×C59—81no—
966C2×C59#348411yescharacteristic
967C2×C59C2×#57711yescharacteristic
968C2×C59#358611yescharacteristic
969D59—41no—
970D59—41no—
971D59—42no—
972D59—42no—
973D59—81no—
974C2×H(5,𝔽2)—591no—
975C2×H(5,𝔽2)—591no—
976C2×#137—591no—
977C2×#137—591no—
978C2×#137—591no—
979C2×#137—591no—
980C22×SD16—591no—
981C22×SD16—591no—
982C22×SD16—591no—
983C22×SD16—591no—
984#563—1181no—
985#563—1181no—
986#559—1181no—
987Q82—1181no—
988#556—591no—
989#556—591no—
990#556—591no—
991#556—591no—
992D4×Q8—591no—
993D4×Q8—591no—
994D4×Q8—591no—
995D4×Q8—591no—
996#547—591no—
997#547—591no—
998#547—1181no—
999#546—591no—
1000#546—591no—
1001#546—591no—
1002#546—591no—
1003#546—1181no—
1004#546—1181no—
1005D42—591no—
1006D42—591no—
1007D42—1181no—
1008#542—1181no—
1009#542—1181no—
1010#542—1181no—
1011#542—1181no—
1012#537—591no—
1013#537C2×D5911yescharacteristic
1014#536—591no—
1015#536—591no—
1016#536—591no—
1017#536C2×D5911yescharacteristic, complemented
1018#534—1181no—
1019#534—1181no—
1020#533—591no—
1021#533—591no—
1022#532—591no—
1023#532—591no—
1024C2×#121—1181no—
1025C2×#121—1181no—
1026C2×C4×D4—591no—
1027#497—591no—
1028#497—591no—
1029#494—591no—
1030#492—591no—
1031#489—591no—
1032#489—591no—
1033#487—591no—
1034#486—591no—
1035#485—591no—
1036#485—591no—
1037#485—591no—
1038#485C2×D5911yescharacteristic, complemented
1039#484—591no—
1040#484C2×D5911yescharacteristic, complemented
1041#483—591no—
1042#483C2×D5911yescharacteristic, complemented
1043#482—591no—
1044#482—591no—
1045#482—591no—
1046#482C2×D5911yescharacteristic, complemented
1047#476—591no—
1048#476—591no—
1049#474—591no—
1050#474—591no—
1051#470—591no—
1052#470—591no—
1053#470—591no—
1054#470C2×D5911yescharacteristic, complemented
1055#468—591no—
1056#468—591no—
1057#468—591no—
1058#468C2×D5911yescharacteristic, complemented
1059#467—591no—
1060#467—591no—
1061#467—591no—
1062#467C2×D5911yescharacteristic, complemented
1063#465—591no—
1064#465—591no—
1065#465—591no—
1066#465C2×D5911yescharacteristic, complemented
1067#464—591no—
1068#464—591no—
1069#464—591no—
1070#464—591no—
1071#462—591no—
1072#462—591no—
1073#461—591no—
1074#461—591no—
1075#461—591no—
1076#461—591no—
1077#460—591no—
1078#460—591no—
1079#452—591no—
1080#452—591no—
1081#452—591no—
1082#452—591no—
1083#452—591no—
1084#452—591no—
1085#452—591no—
1086#452—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452C2×D5911yescharacteristic, complemented
1094#452C2×D5911yescharacteristic, complemented
1095#451—591no—
1096#451—591no—
1097#451—591no—
1098#451C2×D5911yescharacteristic, complemented
1099#450—591no—
1100#450—591no—
1101#450—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#450—591no—
1110#450—591no—
1111#448—591no—
1112#448—591no—
1113#448—591no—
1114#448C2×D5911yescharacteristic, complemented
1115#440—591no—
1116#440—591no—
1117#440—591no—
1118#440—591no—
1119C4×SD16—591no—
1120C4×SD16—591no—
1121C4×SD16—591no—
1122C4×SD16—591no—
1123#436—591no—
1124#436—591no—
1125#435—591no—
1126#435—591no—
1127#435—591no—
1128#435—591no—
1129C8×D4—591no—
1130C8×D4—591no—
1131#432—591no—
1132#431—591no—
1133#418—591no—
1134#418—591no—
1135#418—591no—
1136#418—591no—
1137#416—591no—
1138#416—591no—
1139#416—591no—
1140#416—591no—
1141#408—591no—
1142#408—591no—
1143#408—591no—
1144#408C2×D5911yescharacteristic, complemented
1145C59#6168011yescharacteristic, complemented, Sylow
1146H(5,𝔽2)—2362no—
1147H(5,𝔽2)—2362no—
1148H(5,𝔽2)—2362no—
1149H(5,𝔽2)—2362no—
1150C2×#41—591no—
1151C2×#41—591no—
1152C2×#41—591no—
1153C2×#41—591no—
1154C2×#41—591no—
1155C2×#41—591no—
1156C2×#41—1181no—
1157C2×#41—1181no—
1158C2×#41C22×D5911yescharacteristic
1159C2×#41C22×D5911yescharacteristic
1160C22×Q8—591no—
1161C22×Q8—591no—
1162C22×Q8—591no—
1163C22×Q8C22×D5911yescharacteristic
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—1181no—
1170C22×D4—1181no—
1171C22×D4—1181no—
1172C22×D4—1181no—
1173C22×D4—1181no—
1174C22×D4—1181no—
1175C22×D4—1181no—
1176C22×D4—1181no—
1177C23×C4—1181no—
1178#137—2362no—
1179#137—2362no—
1180#137—2362no—
1181#137—2362no—
1182C2×Q16—591no—
1183C2×Q16—591no—
1184C2×Q16—591no—
1185C2×Q16—591no—
1186C2×Q16—591no—
1187C2×Q16—591no—
1188C2×Q16C22×D5911yescharacteristic
1189C2×Q16C22×D5911yescharacteristic
1190C2×SD16—591no—
1191C2×SD16—591no—
1192C2×SD16—591no—
1193C2×SD16—591no—
1194C2×SD16—591no—
1195C2×SD16—591no—
1196C2×SD16—591no—
1197C2×SD16—591no—
1198C2×SD16—591no—
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—2362no—
1205C2×SD16—2362no—
1206C2×SD16—2362no—
1207C2×SD16—2362no—
1208C2×SD16C22×D5911yescharacteristic
1209C2×SD16C22×D5911yescharacteristic
1210C2×M16—591no—
1211C2×M16—591no—
1212C2×M16—591no—
1213C2×M16C22×D5911yescharacteristic
1214C22×C8—591no—
1215C22×C8—591no—
1216C22×C8—591no—
1217C22×C8C22×D5911yescharacteristic
1218C4⋊Q8—21no—
1219C4⋊Q8—591no—
1220C4⋊Q8—591no—
1221C4⋊Q8—591no—
1222C4⋊Q8—591no—
1223C4⋊Q8—591no—
1224C4⋊Q8—591no—
1225C4⋊Q8—1181no—
1226C4⋊Q8—1181no—
1227C4⋊Q8—1181no—
1228C4⋊Q8—1181no—
1229C4⋊Q8—1181no—
1230C4⋊Q8—1181no—
1231C4⋊Q8—1181no—
1232#127—591no—
1233#127—591no—
1234#126—1181no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#126—1181no—
1242#125—1181no—
1243#125—1181no—
1244#124—21no—
1245#124—591no—
1246#124—591no—
1247#124—591no—
1248#124—591no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124—1181no—
1255#124—1181no—
1256#123—21no—
1257#123—21no—
1258#123—1181no—
1259#123—1181no—
1260#123—1181no—
1261#123—1181no—
1262#123—1181no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269#123—1181no—
1270#123—1181no—
1271#123—1181no—
1272C22⋊Q8—21no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—591no—
1281C22⋊Q8—591no—
1282C22⋊Q8—591no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8—1181no—
1287C22⋊Q8—1181no—
1288C22⋊Q8—1181no—
1289C22⋊Q8—1181no—
1290C22⋊Q8—1181no—
1291C22⋊Q8—1181no—
1292C22⋊Q8—1181no—
1293C22⋊Q8—1181no—
1294C22⋊Q8C22×D5911yescharacteristic
1295C22⋊Q8C22×D5911yescharacteristic
1296C22⋊Q8C22×D5911yescharacteristic
1297C22⋊Q8C22×D5911yescharacteristic
1298C22⋊Q8C22×D5911yescharacteristic
1299C22⋊Q8C22×D5911yescharacteristic
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—591no—
1304#121—591no—
1305#121—591no—
1306#121—591no—
1307#121—591no—
1308#121—591no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121C22×D5911yescharacteristic
1323#121C22×D5911yescharacteristic
1324#120—1181no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330#120—1181no—
1331#120—1181no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×Q8—591no—
1335C4×Q8—591no—
1336C4×Q8—1181no—
1337C4×Q8—1181no—
1338C4×Q8—1181no—
1339C4×Q8—1181no—
1340C4×Q8—1181no—
1341C4×Q8—1181no—
1342C4×D4—591no—
1343C4×D4—591no—
1344C4×D4—591no—
1345C4×D4—591no—
1346C4×D4—591no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358#117—591no—
1359#117—591no—
1360#117—591no—
1361#117—1181no—
1362#117—1181no—
1363#117C22×D5911yescharacteristic
1364C2×C4⋊C4—1181no—
1365C2×C4⋊C4—1181no—
1366C2×C4⋊C4C22×D5911yescharacteristic
1367C2×C22⋊C4—1181no—
1368C2×C22⋊C4—1181no—
1369C2×C22⋊C4—1181no—
1370C2×C22⋊C4—1181no—
1371C2×C22⋊C4—1181no—
1372C2×C42—591no—
1373#107—591no—
1374#107—591no—
1375#107C22×D5911yescharacteristic
1376#107C22×D5911yescharacteristic
1377#106—591no—
1378#106—591no—
1379#106C22×D5911yescharacteristic
1380#106C22×D5911yescharacteristic
1381C4⋊C8—591no—
1382C4⋊C8—591no—
1383C4⋊C8—591no—
1384C4⋊C8—591no—
1385#103—591no—
1386#103—591no—
1387#103—591no—
1388#103—591no—
1389#103—591no—
1390#103—591no—
1391#103—591no—
1392#103—591no—
1393#103—591no—
1394#103—591no—
1395#103C22×D5911yescharacteristic
1396#103C22×D5911yescharacteristic
1397#103C22×D5911yescharacteristic
1398#103C22×D5911yescharacteristic
1399#103C22×D5911yescharacteristic
1400#103C22×D5911yescharacteristic
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102—591no—
1405#102—591no—
1406#102—591no—
1407#102—591no—
1408#102—591no—
1409#102—591no—
1410#102—591no—
1411#102—591no—
1412#102—591no—
1413#102—591no—
1414#102—591no—
1415#102C22×D5911yescharacteristic
1416#102C22×D5911yescharacteristic
1417C22⋊C8—591no—
1418C22⋊C8—591no—
1419C22⋊C8—591no—
1420C22⋊C8—591no—
1421C22⋊C8—591no—
1422C22⋊C8—591no—
1423C22⋊C8—591no—
1424C22⋊C8—591no—
1425C22⋊C8C22×D5911yescharacteristic
1426C22⋊C8C22×D5911yescharacteristic
1427C22⋊C8C22×D5911yescharacteristic
1428C22⋊C8C22×D5911yescharacteristic
1429#97—591no—
1430#97—591no—
1431C4×C8—591no—
1432C4×C8—591no—
1433C24—1181no—
1434C24—1181no—
1435C24—1181no—
1436C24—1181no—
1437C24—1181no—
1438#41—41no—
1439#41—41no—
1440#41—41no—
1441#41—41no—
1442#41—1182no—
1443#41—1182no—
1444#41—1182no—
1445#41—1182no—
1446#41—2361no—
1447#41—2361no—
1448#41—2361no—
1449#41—2361no—
1450#41—2361no—
1451#41—2361no—
1452#41—2364no—
1453#41—2361no—
1454#41—2361no—
1455#41—2364no—
1456C2×Q8—21no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—591no—
1460C2×Q8—591no—
1461C2×Q8—591no—
1462C2×Q8—591no—
1463C2×Q8—1181no—
1464C2×Q8—1181no—
1465C2×Q8—1181no—
1466C2×Q8—1181no—
1467C2×Q8—1181no—
1468C2×Q8—2361no—
1469C2×Q8—2361no—
1470C2×Q8—2361no—
1471C2×Q8—2361no—
1472C2×Q8—2361no—
1473C2×Q8—2361no—
1474C2×Q8D4×D5911yescharacteristic
1475C2×Q8C23×D5911yescharacteristic
1476C2×Q8C23×D5911yescharacteristic
1477C2×Q8C23×D5911yescharacteristic
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—591no—
1482C2×D4—591no—
1483C2×D4—591no—
1484C2×D4—591no—
1485C2×D4—591no—
1486C2×D4—591no—
1487C2×D4—591no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—1182no—
1492C2×D4—1182no—
1493C2×D4—1182no—
1494C2×D4—1182no—
1495C2×D4—1181no—
1496C2×D4—1181no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1182no—
1504C2×D4—1182no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—4722no—
1512C2×D4—4722no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4—2364no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C2×D4—2364no—
1519C2×D4—2364no—
1520C2×D4—2364no—
1521C2×D4—2364no—
1522C2×D4—2364no—
1523C2×D4D4×D5911yescharacteristic
1524C2×D4D4×D5911yescharacteristic
1525C2×D4D4×D5911yescharacteristic
1526C2×D4C23×D5911yescharacteristic
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—21no—
1530C22×C4—591no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—1181no—
1540C22×C4—1181no—
1541C22×C4—1181no—
1542C22×C4—1181no—
1543C22×C4—1181no—
1544C22×C4—1181no—
1545C22×C4—1181no—
1546C22×C4—4722no—
1547C22×C4C23×D5911yescharacteristic
1548C22×C4C23×D5911yescharacteristic
1549C22×C4C23×D5911yescharacteristic
1550Q16—41no—
1551Q16—41no—
1552Q16—2361no—
1553Q16—2361no—
1554Q16—2361no—
1555Q16—2361no—
1556Q16—2361no—
1557Q16—2361no—
1558SD16—41no—
1559SD16—41no—
1560SD16—1182no—
1561SD16—1182no—
1562SD16—1182no—
1563SD16—1182no—
1564SD16—1182no—
1565SD16—1182no—
1566SD16—1182no—
1567SD16—1182no—
1568SD16—2361no—
1569SD16—2361no—
1570SD16—2361no—
1571SD16—2361no—
1572SD16—2361no—
1573SD16—2361no—
1574M16—41no—
1575M16—2361no—
1576M16—2361no—
1577M16—2361no—
1578C2×C8—41no—
1579C2×C8—591no—
1580C2×C8—591no—
1581C2×C8—591no—
1582C2×C8—591no—
1583C2×C8—2361no—
1584C2×C8—2361no—
1585C2×C8—2361no—
1586C2×C8C23×D5911yescharacteristic
1587C2×C8C23×D5911yescharacteristic
1588C2×C8C23×D5911yescharacteristic
1589C2×C8C23×D5911yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—591no—
1598C4⋊C4—591no—
1599C4⋊C4—591no—
1600C4⋊C4—591no—
1601C4⋊C4—591no—
1602C4⋊C4—591no—
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⋊C4—1181no—
1615C4⋊C4—1181no—
1616C4⋊C4—1181no—
1617C4⋊C4—1181no—
1618C4⋊C4—1181no—
1619C4⋊C4—1181no—
1620C4⋊C4—1181no—
1621C4⋊C4—1181no—
1622C4⋊C4—1181no—
1623C4⋊C4—1181no—
1624C4⋊C4—1181no—
1625C4⋊C4C23×D5911yescharacteristic
1626C4⋊C4C23×D5911yescharacteristic
1627C4⋊C4C23×D5911yescharacteristic
1628C4⋊C4C23×D5911yescharacteristic
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—591no—
1639C22⋊C4—591no—
1640C22⋊C4—591no—
1641C22⋊C4—591no—
1642C22⋊C4—591no—
1643C22⋊C4—591no—
1644C22⋊C4—591no—
1645C22⋊C4—591no—
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⋊C4—1181no—
1657C22⋊C4—1181no—
1658C22⋊C4—1181no—
1659C22⋊C4—1181no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C42—21no—
1670C42—591no—
1671C42—591no—
1672C42—591no—
1673C42—591no—
1674C42—1181no—
1675C42—1181no—
1676C42—1181no—
1677C42—1181no—
1678C42—1181no—
1679C42—1181no—
1680C42—1181no—
1681C23—21no—
1682C23—591no—
1683C23—591no—
1684C23—1184no—
1685C23—1181no—
1686C23—1181no—
1687C23—1181no—
1688C23—4721no—
1689C23—4721no—
1690C23—4721no—
1691C23—4721no—
1692C23—4721no—
1693C23—4721no—
1694C23—4721no—
1695C23—4721no—
1696C23—4721no—
1697C23—4721no—
1698C23—2362no—
1699C23—2362no—
1700C23—2362no—
1701C23—2362no—
1702C23C2×D4×D5911yescharacteristic
1703C23C2×D4×D5911yescharacteristic
1704C23C2×D4×D5911yescharacteristic
1705Q8—21no—
1706Q8—21no—
1707Q8—21no—
1708Q8—21no—
1709Q8—21no—
1710Q8—21no—
1711Q8—41no—
1712Q8—81no—
1713Q8—1181no—
1714Q8—1181no—
1715Q8—1181no—
1716Q8—1181no—
1717Q8—1181no—
1718Q8—1181no—
1719Q8—4721no—
1720Q8—4721no—
1721Q8—4721no—
1722Q8—2361no—
1723Q8—2362no—
1724Q8—2362no—
1725D4—21no—
1726D4—21no—
1727D4—41no—
1728D4—41no—
1729D4—41no—
1730D4—42no—
1731D4—81no—
1732D4—81no—
1733D4—592no—
1734D4—592no—
1735D4—1184no—
1736D4—1182no—
1737D4—1182no—
1738D4—1181no—
1739D4—1181no—
1740D4—1181no—
1741D4—1181no—
1742D4—4721no—
1743D4—4721no—
1744D4—4721no—
1745D4—2361no—
1746D4—2362no—
1747D4—2362no—
1748D4—2362no—
1749D4—2362no—
1750D4—2362no—
1751D4—2361no—
1752D4—2361no—
1753D4—2361no—
1754D4—2361no—
1755D4—2362no—
1756D4—2362no—
1757D4—2362no—
1758D4—2362no—
1759D4—2362no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—42no—
1774C2×C4—81no—
1775C2×C4—81no—
1776C2×C4—591no—
1777C2×C4—591no—
1778C2×C4—591no—
1779C2×C4—591no—
1780C2×C4—591no—
1781C2×C4—591no—
1782C2×C4—1182no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—1181no—
1788C2×C4—1181no—
1789C2×C4—1181no—
1790C2×C4—1181no—
1791C2×C4—1181no—
1792C2×C4—4721no—
1793C2×C4—4721no—
1794C2×C4—4721no—
1795C2×C4—4721no—
1796C2×C4—4721no—
1797C2×C4—2362no—
1798C2×C4—2362no—
1799C2×C4—2362no—
1800C2×C4—2362no—
1801C2×C4—2362no—
1802C2×C4—2362no—
1803C2×C4—2362no—
1804C2×C4—2361no—
1805C2×C4C2×D4×D5911yescharacteristic
1806C2×C4C2×D4×D5911yescharacteristic
1807C2×C4C2×D4×D5911yescharacteristic
1808C2×C4C24×D5911yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1181no—
1814C8—1181no—
1815C8—1181no—
1816C8—1181no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—1181no—
1830C22—1181no—
1831C22—1182no—
1832C22—1182no—
1833C22—1181no—
1834C22—1181no—
1835C22—1181no—
1836C22—1181no—
1837C22—9442no—
1838C22—9442no—
1839C22—9442no—
1840C22—9442no—
1841C22—4724no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22C22×D4×D5911yescharacteristic
1850C4—21no—
1851C4—21no—
1852C4—21no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4—592no—
1861C4—1181no—
1862C4—1181no—
1863C4—1181no—
1864C4—1181no—
1865C4—1181no—
1866C4—2361no—
1867C4—2361no—
1868C4—2361no—
1869C4—2361no—
1870C4—2361no—
1871C4H(5,𝔽2)×D5911yescharacteristic
1872C4H(5,𝔽2)×D5911yescharacteristic
1873C2—41no—
1874C2—41no—
1875C2—41no—
1876C2—81no—
1877C2—4721no—
1878C2—2361no—
1879C2—2361no—
1880C2—2362no—
1881C2—2362no—
1882C2#2143772811yescharacteristic
1883C2#577×D5911yescharacteristic
1884C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3201C2
socleC22×C59C23×D4
prime radical#21437859C2
hypercenter#3201D59
hypocenterC59#61680
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

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

NH ≅ G/Ntype
1. #21438505C2semidirect
3. #21436325C2semidirect
4. #21436322C2semidirect
5. #21436138C2semidirect
6. #21436135C2semidirect
7. #21436130C2semidirect
8. #21436127C2semidirect
9. #21436011C2semidirect
10. #21436008C2semidirect
11. #21435789C2semidirect
12. #21435785C2semidirect
13. #21435739C2semidirect
14. #21435735C2semidirect
15. #21435613C2semidirect
16. #21435609C2semidirect
17. #21435603C2semidirect
18. #21435599C2semidirect
19. #21435104C2semidirect
20. #21435050C2semidirect
21. #21434985C2semidirect
22. #21434983C2semidirect
23. #21434972C2semidirect
24. #21434192C2semidirect
25. #21434101C2semidirect
26. #21433375C2semidirect
27. #21433371C2semidirect
28. #21433370C2semidirect
29. #21433370C2semidirect
30. #21433169C2semidirect
31. C59×#3201C2semidirect
34. C2×#14273760C22semidirect
35. C2×#14273759C22semidirect
36. C2×#14273759C22semidirect
37. C2×#14273758C22semidirect
38. C22×#11745660C22semidirect
39. C22×#11745671C22semidirect
40. C2×SD16×D59C22semidirect
41. C2×SD16×D59C22semidirect
46. #16838123C22semidirect
47. #16838123C22semidirect
48. #16838120C22semidirect
49. #16838120C22semidirect
50. Q8×C22⋊D59C22semidirect
51. Q8×C22⋊D59C22semidirect
52. #16838065C22semidirect
53. #16838065C22semidirect
71. #16837975C22semidirect
72. #16837975C22semidirect
73. #16837973C22semidirect
76. #16837954C22semidirect
77. #16837954C22semidirect
83. #16837795C22semidirect
84. #16837793C22semidirect
85. #16837780C22semidirect
86. #16837773C22semidirect
87. #16837763C22semidirect
88. #16837760C22semidirect
89. #16837751C22semidirect
90. #16837747C22semidirect
91. #16837746C22semidirect
92. #16837745C22semidirect
93. #16837740C22semidirect
94. #16837737C22semidirect
95. #16837732C22semidirect
96. #16837729C22semidirect
97. #16837728C22semidirect
98. #16837723C22semidirect
99. #16837691C22semidirect
100. #16837691C22semidirect
101. #16837681C22semidirect
102. #16837681C22semidirect
103. #16837661C22semidirect
104. #16837659C22semidirect
105. #16837658C22semidirect
106. #16837651C22semidirect
107. #16837649C22semidirect
108. #16837646C22semidirect
109. #16837644C22semidirect
110. #16837642C22semidirect
111. #16837641C22semidirect
112. #16837634C22semidirect
113. #16837632C22semidirect
114. #16837629C22semidirect
115. #16837627C22semidirect
116. #16837626C22semidirect
117. #16837623C22semidirect
118. #16837622C22semidirect
119. #16837611C22semidirect
120. #16837610C22semidirect
121. #16837606C22semidirect
122. #16837606C22semidirect
123. #16837606C22semidirect
124. #16837606C22semidirect
125. #16837601C22semidirect
126. #16837600C22semidirect
127. #16837567C22semidirect
128. #16837567C22semidirect
129. #16837566C22semidirect
130. #16837566C22semidirect
131. #16837566C22semidirect
132. #16837566C22semidirect
133. #16837564C22semidirect
134. #16837564C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837562C22semidirect
138. #16837562C22semidirect
139. #16837562C22semidirect
140. #16837562C22semidirect
141. #16837559C22semidirect
142. #16837559C22semidirect
143. #16837557C22semidirect
146. #16837555C22semidirect
147. #16837555C22semidirect
148. #16837554C22semidirect
149. #16837554C22semidirect
152. #16837552C22semidirect
153. #16837552C22semidirect
154. #16837551C22semidirect
155. #16837551C22semidirect
156. #16837542C22semidirect
157. #16837542C22semidirect
158. #16837540C22semidirect
159. #16837505C22semidirect
160. #16837505C22semidirect
161. #16837501C22semidirect
162. #16837501C22semidirect
163. #16837489C22semidirect
164. #16837489C22semidirect
165. #16837487C22semidirect
166. #16837487C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837476C22semidirect
170. #16837473C22semidirect
171. #16837471C22semidirect
172. #16837470C22semidirect
173. C8×C22⋊D59C22semidirect
174. (C22⋊D59)⋊C8C22semidirect
175. #16837456C22semidirect
176. #16837452C22semidirect
177. #16837408C22semidirect
178. #16837406C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. #16837399C22semidirect
182. #16837397C22semidirect
183. #16837397C22semidirect
184. #16837396C22semidirect
185. #16837369C22semidirect
186. #16837367C22semidirect
187. #16837367C22semidirect
189. C59×#536C22semidirect
190. C59×#485C22semidirect
191. C59×#484C22semidirect
192. C59×#483C22semidirect
193. C59×#482C22semidirect
194. C59×#470C22semidirect
195. C59×#468C22semidirect
196. C59×#467C22semidirect
197. C59×#465C22semidirect
198. C59×#452C22semidirect
199. C59×#452C22semidirect
200. C59×#451C22semidirect
201. C59×#448C22semidirect
202. C59×#408C22semidirect
954. #3201D59semidirect
1017. #536C2×D59semidirect
1038. #485C2×D59semidirect
1040. #484C2×D59semidirect
1042. #483C2×D59semidirect
1046. #482C2×D59semidirect
1054. #470C2×D59semidirect
1058. #468C2×D59semidirect
1062. #467C2×D59semidirect
1066. #465C2×D59semidirect
1093. #452C2×D59semidirect
1094. #452C2×D59semidirect
1098. #451C2×D59semidirect
1114. #448C2×D59semidirect
1144. #408C2×D59semidirect
1145. C59#61680semidirect

Maximal subgroups

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

subgroupindex
#214385052
#214378592
#214363252
#214363222
#214361382
#214361352
#214361302
#214361272
#214360112
#214360082
#214357892
#214357852
#214357392
#214357352
#214356132
#214356092
#214356032
#214355992
#214351042
#214350502
#214349852
#214349832
#214349722
#214341922
#214341012
#214333752
#214333712
#214333702
#214331692
C59×#32012
#6168059