Finite Group Databasebeta

← #29466474

Subgroups — #29466474

Order 15104.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437798C211yesmaximal, characteristic, complemented
2#21437759C211yesmaximal, characteristic, complemented
3#21436418C211yesmaximal, characteristic, complemented
4#21436417C211yesmaximal, characteristic, complemented
5#21436313C211yesmaximal, characteristic, complemented
6#21436312C211yesmaximal, characteristic, complemented
7#21436242C211yesmaximal, characteristic, complemented
8#21436230C211yesmaximal, characteristic, complemented
9#21436225C211yesmaximal, characteristic, complemented
10#21436224C211yesmaximal, characteristic, complemented
11#21436210C211yesmaximal, characteristic, complemented
12#21436206C211yesmaximal, characteristic, complemented
13#21436050C211yesmaximal, characteristic, complemented
14#21436005C211yesmaximal, characteristic, complemented
15#21435993C211yesmaximal, characteristic, complemented
16#21435917C211yesmaximal, characteristic, complemented
17#21435916C211yesmaximal, characteristic, complemented
18#21434447C211yesmaximal, characteristic, complemented
19#21434080C211yesmaximal, characteristic, complemented
20#481×D59C211yesmaximal, characteristic, complemented
21#21433953C211yesmaximal, characteristic, complemented
22#21433753C211yesmaximal, characteristic, complemented
23#21433714C211yesmaximal, characteristic, complemented
24#21433636C211yesmaximal, characteristic, complemented
25#21433395C211yesmaximal, characteristic, complemented
26#21433311C211yesmaximal, characteristic, complemented
27#21432978C211yesmaximal, characteristic, complemented
28#21432819C211yesmaximal, characteristic, complemented
29#21432617C211yesmaximal, characteristic, complemented
30#417×D59C211yesmaximal, characteristic, complemented
31C59×#3306C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273751C2211yescharacteristic, complemented
35C2×#14273748C2211yescharacteristic, complemented
36C2×#14273746C2211yescharacteristic
37C2×#14273733C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838113C2211yescharacteristic, complemented
40#16838107C2211yescharacteristic, complemented
41#16838106—21no—
42#16838102C2211yescharacteristic, complemented
43#16838099C2211yescharacteristic, complemented
44#16838097—21no—
45#16838092C2211yescharacteristic, complemented
46#16838089—21no—
47#16838087C2211yescharacteristic, complemented
48#16838073C2211yescharacteristic
49#16838070C2211yescharacteristic
50#16838062C2211yescharacteristic
51#16838060C2211yescharacteristic
52#16838052C2211yescharacteristic, complemented
53#16838051—21no—
54#16838044—21no—
55#16838042—21no—
56#16838040C2211yescharacteristic
57D4×D236C2211yescharacteristic
58#16838036—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838029C2211yescharacteristic, complemented
62#16837998—21no—
63#16837995—21no—
64#16837982C2211yescharacteristic
65#16837981C2211yescharacteristic, complemented
66#16837979—21no—
67#16837970C2211yescharacteristic
68#16837967—21no—
69#16837912C2211yescharacteristic, complemented
70#16837911C2211yescharacteristic
71#16837910—21no—
72#16837910—21no—
73#16837909—21no—
74C2×#14273700—21no—
75#121×D59C2211yescharacteristic
76#16837883C2211yescharacteristic, complemented
77#16837881C2211yescharacteristic
78#16837881C2211yescharacteristic, complemented
79C2×C4⋊C4×D59C2211yescharacteristic, complemented
80#16837767C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837756C2211yescharacteristic, complemented
85#16837750C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837731C2211yescharacteristic, complemented
90#16837728C2211yescharacteristic, complemented
91#16837727C2211yescharacteristic, complemented
92#16837722C2211yescharacteristic, complemented
93#16837722C2211yescharacteristic, complemented
94#16837722C2211yescharacteristic, complemented
95#16837721C2211yescharacteristic, complemented
96#16837720C2211yescharacteristic, complemented
97#16837720C2211yescharacteristic, complemented
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837718C2211yescharacteristic, complemented
101#16837712C2211yescharacteristic, complemented
102#16837710C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837700C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837686C2211yescharacteristic, complemented
107#16837684C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837654C2211yescharacteristic, complemented
111#16837653C2211yescharacteristic, complemented
112#16837653C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837646C2211yescharacteristic, complemented
115#16837637C2211yescharacteristic, complemented
116#16837635C2211yescharacteristic, complemented
117#16837632C2211yescharacteristic, complemented
118#16837632C2211yescharacteristic, complemented
119#16837631C2211yescharacteristic, complemented
120#16837630C2211yescharacteristic, complemented
121#16837628C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837621C2211yescharacteristic, complemented
124#16837619C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837597C2211yescharacteristic, complemented
128#16837595C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837559C2211yescharacteristic, complemented
134#16837554C2211yescharacteristic, complemented
135#16837554C2211yescharacteristic, complemented
136#16837553C2211yescharacteristic, complemented
137#16837545C2211yescharacteristic, complemented
138#16837545C2211yescharacteristic, complemented
139#16837544C2211yescharacteristic, complemented
140#16837539C2211yescharacteristic, complemented
141#16837534C2211yescharacteristic, complemented
142#16837534C2211yescharacteristic, complemented
143#16837514C2211yescharacteristic, complemented
144#16837510C2211yescharacteristic, complemented
145#16837508C2211yescharacteristic, complemented
146#16837493C2211yescharacteristic, complemented
147#16837493C2211yescharacteristic, complemented
148C4×#11745670C2211yescharacteristic, complemented
149C4×#11745670C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837478C2211yescharacteristic, complemented
152#16837476C2211yescharacteristic, complemented
153#16837476C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837467C2211yescharacteristic, complemented
156C8×C22⋊D59C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#106×D59C2211yescharacteristic, complemented
159#106×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837407C2211yescharacteristic, complemented
162#16837405C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic, complemented
164#16837404C2211yescharacteristic, complemented
165#16837403C2211yescharacteristic, complemented
166#16837402C2211yescharacteristic, complemented
167#16837402C2211yescharacteristic, complemented
168#16837401C2211yescharacteristic, complemented
169#16837401C2211yescharacteristic, complemented
170#16837400C2211yescharacteristic
171#16837400C2211yescharacteristic
172#16837400C2211yescharacteristic, complemented
173#16837400C2211yescharacteristic, complemented
174#16837399C2211yescharacteristic, complemented
175#16837397C2211yescharacteristic, complemented
176#16837395C2211yescharacteristic
177#16837395C2211yescharacteristic, complemented
178#103×D59C2211yescharacteristic, complemented
179#103×D59C2211yescharacteristic, complemented
180#102×D59C2211yescharacteristic, complemented
181#102×D59C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, complemented
188C59×#547C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#481C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#465C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#449C2211yescharacteristic, complemented
198C59×#447C2211yescharacteristic, complemented
199C59×#442C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—24no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216#41×D59—24no—
217#41×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C22×D236—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C22×C22⋊D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230C22×C4×D59—21no—
231C22×C4×D59C2311yescharacteristic
232#14273751—42no—
233#14273748—42no—
234#14273746—24no—
235C2×Dic236C2311yescharacteristic
236C2×#11745672C2311yescharacteristic
237C2×#11745660C2311yescharacteristic
238C2×#11745660C2311yescharacteristic
239C2×#11745670C2311yescharacteristic
240C2×#11745670C2311yescharacteristic
241C2×#11745670C2311yescharacteristic
242C2×#11745669C2311yescharacteristic
243C2×#11745669C2311yescharacteristic
244#14273733—42no—
245C2×#11745664C2311yescharacteristic
246C2×#11745664C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250M16×D59—42no—
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254C2×C8×D59C2311yescharacteristic
255C2×C8×D59C2311yescharacteristic
256#14273726C2311yescharacteristic
257#14273725—21no—
258#14273724C2311yescharacteristic
259#14273723—21no—
260#14273723—21no—
261#14273723C2311yescharacteristic
262#14273722—21no—
263#14273720—21no—
264#14273720—21no—
265#14273720—21no—
266#14273719C2311yescharacteristic
267#14273718—21no—
268#14273718C2311yescharacteristic
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273716C2311yescharacteristic
274#14273713—21no—
275#14273713—21no—
276#14273712D411yescharacteristic
277#14273710—21no—
278#14273710—21no—
279#14273710—21no—
280#14273709—21no—
281#14273709—21no—
282#14273709D411yescharacteristic
283#14273708—21no—
284#14273708—21no—
285#14273708—21no—
286#14273707C2311yescharacteristic
287#14273707C2311yescharacteristic
288#14273706—21no—
289#14273706C2311yescharacteristic
290#14273706C2311yescharacteristic
291#14273705—21no—
292#14273705—21no—
293#14273705—21no—
294#14273705—21no—
295#14273705D411yescharacteristic
296#14273704—21no—
297#14273704—21no—
298#14273704—21no—
299#14273704D411yescharacteristic
300#14273703—21no—
301#14273703—21no—
302#14273703—21no—
303#14273703C2311yescharacteristic
304#14273702—21no—
305#14273702C2311yescharacteristic
306#14273702C2311yescharacteristic
307#14273701—21no—
308#14273701C2311yescharacteristic
309#14273701C2311yescharacteristic
310#14273700—21no—
311#14273700—21no—
312#14273700—21no—
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700D411yescharacteristic
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273699D411yescharacteristic
329#14273698—21no—
330#14273698—21no—
331#14273698C2311yescharacteristic
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697D411yescharacteristic
339#14273696—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343#14273695D411yescharacteristic
344C4×Dic118C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346#14273692—21no—
347#14273692C2311yescharacteristic
348#14273692C2311yescharacteristic
349C4×D236C2311yescharacteristic
350D4×Dic59—21no—
351D4×Dic59C2311yescharacteristic
352D4×Dic59C2311yescharacteristic
353#14273689—21no—
354#14273689—21no—
355#14273689—21no—
356#14273689—21no—
357C4×C22⋊D59—21no—
358C4×C22⋊D59—21no—
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)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371#14273686—21no—
372#14273686C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273685C2311yescharacteristic
375#14273684C2311yescharacteristic
376#14273683—21no—
377#14273683—21no—
378#14273683—21no—
379C2×C4⋊Dic59C2311yescharacteristic
380C2×Dic59⋊C4—21no—
381C2×Dic59⋊C4—21no—
382C2×Dic59⋊C4—21no—
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C4⋊C4×D59C2311yescharacteristic
389C4⋊C4×D59C2311yescharacteristic
390C4⋊C4×D59C2311yescharacteristic
391C2×(C2×D59)⋊C4—21no—
392C22⋊C4×D59—21no—
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273659C2311yescharacteristic
396#14273659C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399#14273658C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434#14273647C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436C22⋊(C59⋊C8)C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441#14273637C2311yescharacteristic
442C4×C59⋊C8C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59—21no—
445C2×#41×C59C2311yescharacteristic
446C22×D4×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×D8×C59C2311yescharacteristic
449C2×D8×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C22×C8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#124×C59C2311yescharacteristic
454#123×C59—21no—
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59C2311yescharacteristic
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463#120×C59—21no—
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C2×C4⋊C4×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#102×C59C2311yescharacteristic
478#102×C59C2311yescharacteristic
479#102×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C24×C59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59C2×D411yescharacteristic
492#41×C59—22no—
493#41×C59—41no—
494#41×C59—82no—
495C2×Q8×C59—21no—
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—22no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—41no—
504C2×D4×C59C2×D411yescharacteristic
505C2×D4×C59C2411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59—21no—
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C2×C22⋊D59—21no—
516C2×C22⋊D59—21no—
517C2×C22⋊D59—21no—
518C2×C22⋊D59—21no—
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⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—44no—
531C2×C22⋊D59—44no—
532C2×C22⋊D59—82no—
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C2×C22⋊D59C2×D411yescharacteristic
536C2×C22⋊D59C2×D411yescharacteristic
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59—21no—
540C22×Dic59—21no—
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59C2×D411yescharacteristic
544#11745689—22no—
545#11745689—22no—
546Q8×D59—22no—
547Q8×D59—41no—
548#11745687—22no—
549#11745687—22no—
550#11745687—22no—
551#11745687—22no—
552#11745687—41no—
553#11745687—44no—
554#11745687—44no—
555#11745687—82no—
556#11745687#4114yescomplemented
557D4×D59—22no—
558D4×D59—22no—
559D4×D59—22no—
560D4×D59—22no—
561D4×D59—41no—
562D4×D59—41no—
563D4×D59—44no—
564D4×D59—44no—
565D4×D59—82no—
566#11745685—22no—
567#11745685—22no—
568#11745685—22no—
569#11745685—22no—
570#11745685—41no—
571#11745685—41no—
572#11745685—44no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—82no—
579C2×D236C2×D411yescharacteristic
580C2×D236C2×D411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×C4×D59—22no—
584C2×C4×D59—22no—
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—21no—
594C2×C4×D59—21no—
595C2×C4×D59—44no—
596C2×C4×D59—82no—
597C2×C4×D59C2×D411yescharacteristic
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×Dic118—21no—
603C2×Dic118—21no—
604C2×Dic118C2×D411yescharacteristic
605C2×Dic118C2411yescharacteristic
606C2×Dic118C2411yescharacteristic
607SD16×C59—41no—
608D8×C59—22no—
609D8×C59—41no—
610M16×C59—41no—
611C2×C8×C59—41no—
612C2×C8×C59C2411yescharacteristic
613C2×C8×C59C2411yescharacteristic
614C2×C8×C59C2411yescharacteristic
615C2×C8×C59C2411yescharacteristic
616C4⋊C4×C59—21no—
617C4⋊C4×C59—21no—
618C4⋊C4×C59—21no—
619C4⋊C4×C59—21no—
620C4⋊C4×C59C2×D411yescharacteristic
621C4⋊C4×C59C2411yescharacteristic
622C4⋊C4×C59C2411yescharacteristic
623C4⋊C4×C59C2411yescharacteristic
624C4⋊C4×C59C2411yescharacteristic
625C22⋊C4×C59—21no—
626C22⋊C4×C59—21no—
627C22⋊C4×C59—21no—
628C22⋊C4×C59—21no—
629C22⋊C4×C59—21no—
630C22⋊C4×C59—21no—
631C22⋊C4×C59—21no—
632C22⋊C4×C59—21no—
633C22⋊C4×C59C2×D411yescharacteristic
634C22⋊C4×C59C2×D411yescharacteristic
635C42×C59C2411yescharacteristic
636C22⋊Dic59—21no—
637C22⋊Dic59—21no—
638C22⋊Dic59—21no—
639C22⋊Dic59—21no—
640C22⋊Dic59—21no—
641C22⋊Dic59—21no—
642C22⋊Dic59—21no—
643C22⋊Dic59—21no—
644C22⋊Dic59C2×D411yescharacteristic
645C22⋊Dic59C2×D411yescharacteristic
646#11745672—41no—
647#11745670—22no—
648#11745670—22no—
649#11745670—41no—
650#11745669—41no—
651#11745669—41no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4—21no—
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666(C2×D59)⋊C4C2×D411yescharacteristic
667(C2×D59)⋊C4C2×D411yescharacteristic
668(C2×D59)⋊C4C2×D411yescharacteristic
669C4⋊Dic59—21no—
670C4⋊Dic59—21no—
671C4⋊Dic59—21no—
672C4⋊Dic59—21no—
673C4⋊Dic59C2×D411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
675C4⋊Dic59C2411yescharacteristic
676C4⋊Dic59C2411yescharacteristic
677C4⋊Dic59C2411yescharacteristic
678Dic59⋊C4—21no—
679Dic59⋊C4—21no—
680Dic59⋊C4—21no—
681Dic59⋊C4—21no—
682Dic59⋊C4—21no—
683Dic59⋊C4—21no—
684Dic59⋊C4—21no—
685Dic59⋊C4—21no—
686Dic59⋊C4—21no—
687Dic59⋊C4—21no—
688Dic59⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4—21no—
692Dic59⋊C4—21no—
693Dic59⋊C4—21no—
694Dic59⋊C4—21no—
695Dic59⋊C4C2×D411yescharacteristic
696Dic59⋊C4C2×D411yescharacteristic
697Dic59⋊C4C2×D411yescharacteristic
698Dic59⋊C4C2×D411yescharacteristic
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59—21no—
704C4×Dic59—21no—
705C4×Dic59—21no—
706C4×Dic59C2411yescharacteristic
707#11745664—41no—
708#11745664—41no—
709C2×C59⋊C8C2411yescharacteristic
710C2×C59⋊C8C2411yescharacteristic
711C2×C59⋊C8C2411yescharacteristic
712C2×C59⋊C8C2411yescharacteristic
713Dic236—22no—
714#11745660—41no—
715#11745660—41no—
716#11745659—22no—
717#11745659—22no—
718#11745659—41no—
719C8×D59—22no—
720C8×D59—22no—
721C8×D59—41no—
722C8×D59—41no—
723C8×D59—41no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—42no—
728C23×C59—81no—
729C23×C59—81no—
730C23×C59C22×D411yescharacteristic
731C23×C59C22×D411yescharacteristic
732C22×D59—22no—
733C22×D59—22no—
734C22×D59—21no—
735C22×D59—21no—
736C22×D59—41no—
737C22×D59—42no—
738C22×D59—42no—
739C22×D59—42no—
740C22×D59—42no—
741C22×D59—81no—
742C22×D59—81no—
743C22×D59—81no—
744C22×D59—81no—
745C22×D59—81no—
746C22×D59C22×D411yescharacteristic
747C22×D59C22×D411yescharacteristic
748C22×D59C22×D411yescharacteristic
749Q8×C59—21no—
750Q8×C59—21no—
751Q8×C59—81no—
752D4×C59—21no—
753D4×C59—21no—
754D4×C59—21no—
755D4×C59—21no—
756D4×C59—21no—
757D4×C59—41no—
758D4×C59—42no—
759D4×C59—42no—
760D4×C59—42no—
761D4×C59—81no—
762D4×C59—81no—
763D4×C59C2×#4112yes—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—42no—
774C2×C4×C59—42no—
775C2×C4×C59—81no—
776C2×C4×C59—81no—
777C2×C4×C59—81no—
778C2×C4×C59C22×D411yescharacteristic
779C2×C4×C59C22×D411yescharacteristic
780C2×C4×C59C22×D411yescharacteristic
781C2×C4×C59C22×D411yescharacteristic
782C2×C4×C59C2511yescharacteristic
783C22⋊D59—22no—
784C22⋊D59—24no—
785C22⋊D59—22no—
786C22⋊D59—22no—
787C22⋊D59—41no—
788C22⋊D59—42no—
789C22⋊D59—42no—
790C22⋊D59—42no—
791C22⋊D59—42no—
792C22⋊D59—42no—
793C22⋊D59—42no—
794C22⋊D59—42no—
795C22⋊D59—42no—
796C22⋊D59—42no—
797C22⋊D59—81no—
798C22⋊D59—81no—
799C22⋊D59—81no—
800C22⋊D59—81no—
801C22⋊D59—81no—
802C2×Dic59—21no—
803C2×Dic59—22no—
804C2×Dic59—24no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—42no—
811C2×Dic59—42no—
812C2×Dic59—42no—
813C2×Dic59—81no—
814C2×Dic59—81no—
815C2×Dic59C22×D411yescharacteristic
816C2×Dic59C22×D411yescharacteristic
817C2×Dic59C22×D411yescharacteristic
818C2×Dic59C22×D411yescharacteristic
819C2×Dic59C22×D411yescharacteristic
820D236—22no—
821D236—22no—
822D236—21no—
823D236—21no—
824D236—21no—
825D236—21no—
826D236—42no—
827D236—42no—
828D236—81no—
829D236—81no—
830D236—81no—
831C4×D59—22no—
832C4×D59—21no—
833C4×D59—21no—
834C4×D59—21no—
835C4×D59—21no—
836C4×D59—22no—
837C4×D59—42no—
838C4×D59—42no—
839C4×D59—42no—
840C4×D59—42no—
841C4×D59—81no—
842C4×D59—81no—
843C4×D59—81no—
844C4×D59—81no—
845C4×D59—81no—
846C4×D59—81no—
847C4×D59C2×#4112yes—
848C4×D59H(5,𝔽2)12yes—
849Dic118—21no—
850Dic118—22no—
851Dic118—21no—
852Dic118—21no—
853Dic118—42no—
854Dic118—81no—
855Dic118C2×#4112yes—
856C8×C59—21no—
857C8×C59—21no—
858C8×C59—21no—
859C8×C59—21no—
860C59⋊C8—21no—
861C59⋊C8—21no—
862C59⋊C8—21no—
863C59⋊C8—21no—
864#61192—591nomaximal, Sylow
865C22×C59—21no—
866C22×C59—21no—
867C22×C59—22no—
868C22×C59—21no—
869C22×C59—21no—
870C22×C59—21no—
871C22×C59—21no—
872C22×C59—41no—
873C22×C59—41no—
874C22×C59—41no—
875C22×C59—41no—
876C22×C59—41no—
877C22×C59—41no—
878C22×C59—41no—
879C22×C59—41no—
880C22×C59—162no—
881C22×C59C23×D411yescharacteristic
882C2×D59—21no—
883C2×D59—21no—
884C2×D59—21no—
885C2×D59—21no—
886C2×D59—21no—
887C2×D59—21no—
888C2×D59—21no—
889C2×D59—44no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—84no—
897C2×D59—162no—
898C2×D59—162no—
899C2×D59#54612yes—
900C2×D59#57712yes—
901C4×C59—21no—
902C4×C59—21no—
903C4×C59—21no—
904C4×C59—21no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910C4×C59C22×#4111yescharacteristic
911C4×C59C2×H(5,𝔽2)11yescharacteristic
912Dic59—21no—
913Dic59—21no—
914Dic59—22no—
915Dic59—21no—
916Dic59—21no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921Dic59—41no—
922Dic59#54612yes—
923#3492—591no—
924#3488—591no—
925#3332—591no—
926#3332—591no—
927#3323—591no—
928#3323—591no—
929#3318—591no—
930#3318—591no—
931#3317—591no—
932#3317—591no—
933#3316—591no—
934#3316—591no—
935#3306—591no—
936#3306D5911yescharacteristic, complemented
937#3301—591no—
938#3301—591no—
939#3295—591no—
940#3295—591no—
941#3136—591no—
942#3099—591no—
943C2×#481—591no—
944#3084—591no—
945#3060—591no—
946#3055—591no—
947#3045—591no—
948#3012—591no—
949#3002—591no—
950#2952—591no—
951#2933—591no—
952#2897—591no—
953C2×#417—591no—
954C2×C59—41no—
955C2×C59—42no—
956C2×C59—41no—
957C2×C59—81no—
958C2×C59—81no—
959C2×C59C2×#54611yescharacteristic
960C2×C59C2×#57711yescharacteristic
961C2×C59#358511yescharacteristic
962D59—22no—
963D59—22no—
964D59—41no—
965D59—81no—
966D59—81no—
967C2×H(5,𝔽2)—591no—
968C22×#41—591no—
969C2×AGL(1,ℤ/8)—591no—
970C2×#135—591no—
971C2×#135—591no—
972C2×#131—591no—
973C22×M16—591no—
974#554—591no—
975#554—591no—
976#554—1181no—
977#553—591no—
978#553—591no—
979#553—1181no—
980#552—591no—
981#552—591no—
982#552—1181no—
983#550—591no—
984#550—591no—
985#548—591no—
986#548—591no—
987#547—591no—
988#547—1181no—
989#547C2×D5911yescharacteristic, complemented
990#546—591no—
991#546—1181no—
992#546—1181no—
993#546C2×D5911yescharacteristic
994D42—591no—
995D42—591no—
996D42—1181no—
997D42—1181no—
998#544—591no—
999#539—1181no—
1000#539—1181no—
1001#537—591no—
1002#537—591no—
1003#537—1181no—
1004#535—591no—
1005#535—1181no—
1006#525—591no—
1007#525—591no—
1008#525—1181no—
1009#525—1181no—
1010#525—1181no—
1011C2×#121—591no—
1012C2×#121—1181no—
1013#520—591no—
1014#520—591no—
1015#520—591no—
1016C22×C4⋊C4—591no—
1017#490—591no—
1018#490—591no—
1019#489—591no—
1020#489C2×D5911yescharacteristic, complemented
1021#488—591no—
1022#488—591no—
1023#486—591no—
1024#486—591no—
1025#485—591no—
1026#485—591no—
1027#483—591no—
1028#483C2×D5911yescharacteristic, complemented
1029#482—591no—
1030#482—591no—
1031#481—591no—
1032#481—591no—
1033#481—591no—
1034#481—591no—
1035#481—591no—
1036#481—591no—
1037#481—591no—
1038#481—591no—
1039#481—591no—
1040#481C2×D5911yescharacteristic, complemented
1041#479—591no—
1042#479—591no—
1043#478—591no—
1044#478—591no—
1045#476—591no—
1046#476C2×D5911yescharacteristic, complemented
1047#475—591no—
1048#475—591no—
1049#470—591no—
1050#470—591no—
1051#469—591no—
1052#469—591no—
1053#469—591no—
1054#469C2×D5911yescharacteristic, complemented
1055#468—591no—
1056#468—591no—
1057#466—591no—
1058#466—591no—
1059#465—591no—
1060#465—591no—
1061#465—591no—
1062#465—591no—
1063#465—591no—
1064#465C2×D5911yescharacteristic, complemented
1065#464—591no—
1066#464—591no—
1067#463—591no—
1068#463C2×D5911yescharacteristic, complemented
1069#460—591no—
1070#460—591no—
1071#459—591no—
1072#459—591no—
1073#452—591no—
1074#452—591no—
1075#452—591no—
1076#452—591no—
1077#451—591no—
1078#450—591no—
1079#450—591no—
1080#450—591no—
1081#449—591no—
1082#449—591no—
1083#449—591no—
1084#449C2×D5911yescharacteristic, complemented
1085#448—591no—
1086#447—591no—
1087#447—591no—
1088#447C2×D5911yescharacteristic, complemented
1089#442—591no—
1090#442C2×D5911yescharacteristic, complemented
1091#441—591no—
1092#441—591no—
1093C4×SD16—591no—
1094C4×SD16—591no—
1095C4×SD16—591no—
1096C4×SD16—591no—
1097#436—591no—
1098#436—591no—
1099#435—591no—
1100#435—591no—
1101#435—591no—
1102#435C2×D5911yescharacteristic, complemented
1103C8×D4—591no—
1104C8×D4—591no—
1105#428—591no—
1106C2×#106—591no—
1107C2×#106—591no—
1108#424—591no—
1109#418—591no—
1110#418—591no—
1111#418—591no—
1112#417—591no—
1113#417—591no—
1114#417—591no—
1115#417—591no—
1116#417—591no—
1117#417—591no—
1118#417—591no—
1119#417—591no—
1120#417—591no—
1121#417—591no—
1122#417C2×D5911yescharacteristic, complemented
1123#416—591no—
1124#416—591no—
1125#416—591no—
1126#416—591no—
1127C2×#103—591no—
1128C2×#103—591no—
1129C2×#102—591no—
1130C2×#102—591no—
1131C2×#102—591no—
1132C2×#102—591no—
1133C2×#102—591no—
1134C2×#102C2×D5911yescharacteristic, complemented
1135#408—591no—
1136C2×C22⋊C8—591no—
1137#405—591no—
1138C59#6119211yescharacteristic, complemented, Sylow
1139H(5,𝔽2)—1184no—
1140H(5,𝔽2)—2362no—
1141C2×#41—21no—
1142C2×#41—591no—
1143C2×#41—591no—
1144C2×#41—591no—
1145C2×#41—591no—
1146C2×#41—591no—
1147C2×#41—591no—
1148C2×#41—591no—
1149C2×#41—1181no—
1150C2×#41—1181no—
1151C2×#41—1181no—
1152C2×#41—1181no—
1153C2×#41—1184no—
1154C2×#41—2362no—
1155C2×#41C22×D5911yescharacteristic
1156C22×Q8—591no—
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—1181no—
1161C22×D4—1181no—
1162C22×D4—1181no—
1163C22×D4—1181no—
1164C22×D4—1181no—
1165C22×D4—1181no—
1166C22×D4—1181no—
1167C22×D4C22×D5911yescharacteristic
1168C23×C4—591no—
1169C23×C4—1181no—
1170C23×C4—1181no—
1171AGL(1,ℤ/8)—2362no—
1172#135—1184no—
1173#135—2362no—
1174C2×Q16—591no—
1175C2×Q16—591no—
1176C2×SD16—591no—
1177C2×SD16—591no—
1178C2×SD16—591no—
1179C2×SD16—591no—
1180C2×SD16—591no—
1181C2×SD16C22×D5911yescharacteristic
1182C2×D8—591no—
1183C2×D8—591no—
1184C2×D8C22×D5911yescharacteristic
1185C2×D8C22×D5911yescharacteristic
1186#131—2362no—
1187C2×M16—591no—
1188C2×M16—591no—
1189C2×M16—591no—
1190C2×M16—591no—
1191C2×M16—591no—
1192C2×M16—2362no—
1193C2×M16C22×D5911yescharacteristic
1194C22×C8—591no—
1195C22×C8—591no—
1196C22×C8—591no—
1197C22×C8—591no—
1198C22×C8—591no—
1199C22×C8C22×D5911yescharacteristic
1200C4⋊Q8—591no—
1201C4⋊Q8—1181no—
1202C4⋊Q8C22×D5911yescharacteristic
1203#127—591no—
1204#127—591no—
1205#127—1181no—
1206#127—1181no—
1207#126—1181no—
1208#126—1181no—
1209#126—1181no—
1210#126—1181no—
1211#125—591no—
1212#125—591no—
1213#125—1181no—
1214#125—1181no—
1215#125—1181no—
1216#125—1181no—
1217#125—1181no—
1218#124—591no—
1219#124—1181no—
1220#124—1181no—
1221#124C22×D5911yescharacteristic
1222#123—21no—
1223#123—21no—
1224#123—21no—
1225#123—591no—
1226#123—591no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230#123—1181no—
1231#123—1181no—
1232#123—1181no—
1233#123—1181no—
1234#123—1181no—
1235C22⋊Q8—21no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—591no—
1239C22⋊Q8—591no—
1240C22⋊Q8—591no—
1241C22⋊Q8—591no—
1242C22⋊Q8—591no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8—1181no—
1247C22⋊Q8—1181no—
1248C22⋊Q8—1181no—
1249C22⋊Q8—1181no—
1250C22⋊Q8—1181no—
1251C22⋊Q8—1181no—
1252C22⋊Q8—1181no—
1253C22⋊Q8—1181no—
1254C22⋊Q8C22×D5911yescharacteristic
1255#121—21no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
1259#121—591no—
1260#121—591no—
1261#121—591no—
1262#121—591no—
1263#121—591no—
1264#121—591no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#121—1181no—
1275#121—1181no—
1276#121—1181no—
1277#121—1181no—
1278#121—1181no—
1279#121—1181no—
1280#121—1181no—
1281#121—1181no—
1282#121—1181no—
1283#121—1181no—
1284#121—1181no—
1285#121—1181no—
1286#121C22×D5911yescharacteristic
1287#121C22×D5911yescharacteristic
1288#121C22×D5911yescharacteristic
1289#120—21no—
1290#120—591no—
1291#120—591no—
1292#120—1181no—
1293#120—1181no—
1294#120—1181no—
1295#120—1181no—
1296#120—1181no—
1297#120—1181no—
1298#120—1181no—
1299#120—1181no—
1300C4×Q8—591no—
1301C4×Q8—591no—
1302C4×Q8—591no—
1303C4×Q8—591no—
1304C4×Q8—1181no—
1305C4×D4—591no—
1306C4×D4—591no—
1307C4×D4—591no—
1308C4×D4—591no—
1309C4×D4—591no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4—1181no—
1313C4×D4—1181no—
1314C4×D4—1181no—
1315C4×D4—1181no—
1316C4×D4—1181no—
1317C4×D4—1181no—
1318C4×D4—1181no—
1319C4×D4—1181no—
1320C4×D4—1181no—
1321C4×D4—1181no—
1322C4×D4—1181no—
1323C4×D4—1181no—
1324C4×D4—1181no—
1325C4×D4—1181no—
1326C4×D4—1181no—
1327C4×D4C22×D5911yescharacteristic
1328C4×D4C22×D5911yescharacteristic
1329C4×D4C22×D5911yescharacteristic
1330#117—591no—
1331#117—591no—
1332#117—591no—
1333#117—591no—
1334#117—1181no—
1335#117—1181no—
1336#117—1181no—
1337#117—1181no—
1338C2×C4⋊C4—591no—
1339C2×C4⋊C4—591no—
1340C2×C4⋊C4—591no—
1341C2×C4⋊C4—591no—
1342C2×C4⋊C4—591no—
1343C2×C4⋊C4—591no—
1344C2×C4⋊C4—591no—
1345C2×C4⋊C4—1181no—
1346C2×C4⋊C4—1181no—
1347C2×C4⋊C4—1181no—
1348C2×C4⋊C4—1181no—
1349C2×C4⋊C4—1181no—
1350C2×C4⋊C4C22×D5911yescharacteristic
1351C2×C4⋊C4C22×D5911yescharacteristic
1352C2×C22⋊C4—21no—
1353C2×C22⋊C4—1181no—
1354C2×C22⋊C4—1181no—
1355#107—591no—
1356#107—591no—
1357#106—591no—
1358#106—591no—
1359#106—591no—
1360#106—591no—
1361#106—591no—
1362#106—591no—
1363#106—591no—
1364#106C22×D5911yescharacteristic
1365#106C22×D5911yescharacteristic
1366#106C22×D5911yescharacteristic
1367C4⋊C8—591no—
1368C4⋊C8—591no—
1369C4⋊C8—591no—
1370C4⋊C8C22×D5911yescharacteristic
1371#103—591no—
1372#103—591no—
1373#103—591no—
1374#103—591no—
1375#103—591no—
1376#103—591no—
1377#103—591no—
1378#103—591no—
1379#103—591no—
1380#103—591no—
1381#103—591no—
1382#103C22×D5911yescharacteristic
1383#103C22×D5911yescharacteristic
1384#103C22×D5911yescharacteristic
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102—591no—
1391#102—591no—
1392#102—591no—
1393#102—591no—
1394#102—591no—
1395#102—591no—
1396#102—591no—
1397#102—591no—
1398#102—591no—
1399#102—591no—
1400#102—591no—
1401#102—591no—
1402#102—591no—
1403#102—591no—
1404#102C22×D5911yescharacteristic
1405#102C22×D5911yescharacteristic
1406#102C22×D5911yescharacteristic
1407#102C22×D5911yescharacteristic
1408#102C22×D5911yescharacteristic
1409#102C22×D5911yescharacteristic
1410#102C22×D5911yescharacteristic
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—21no—
1424C24—591no—
1425C24—1181no—
1426C24—1181no—
1427C24—1181no—
1428#41—22no—
1429#41—41no—
1430#41—82no—
1431#41—594no—
1432#41—1182no—
1433#41—1182no—
1434#41—1182no—
1435#41—1182no—
1436#41—1182no—
1437#41—1182no—
1438#41—1182no—
1439#41—1182no—
1440#41—1182no—
1441#41—1182no—
1442#41—4722no—
1443#41—2361no—
1444#41—2361no—
1445#41—2364no—
1446#41—2364no—
1447#41—2361no—
1448#41—2364no—
1449C2×Q8—21no—
1450C2×Q8—591no—
1451C2×Q8—591no—
1452C2×Q8—591no—
1453C2×Q8—1181no—
1454C2×Q8—1181no—
1455C2×Q8—1182no—
1456C2×Q8—2361no—
1457C2×Q8C23×D5911yescharacteristic
1458C2×D4—22no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—41no—
1465C2×D4—591no—
1466C2×D4—591no—
1467C2×D4—591no—
1468C2×D4—591no—
1469C2×D4—591no—
1470C2×D4—591no—
1471C2×D4—591no—
1472C2×D4—591no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1182no—
1477C2×D4—1182no—
1478C2×D4—1181no—
1479C2×D4—1181no—
1480C2×D4—1181no—
1481C2×D4—1181no—
1482C2×D4—1181no—
1483C2×D4—1181no—
1484C2×D4—1182no—
1485C2×D4—1182no—
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—1181no—
1496C2×D4—1181no—
1497C2×D4—4722no—
1498C2×D4—4722no—
1499C2×D4—4722no—
1500C2×D4—2361no—
1501C2×D4—2361no—
1502C2×D4—2364no—
1503C2×D4—2364no—
1504C2×D4—2364no—
1505C2×D4—2364no—
1506C2×D4D4×D5911yescharacteristic
1507C2×D4C23×D5911yescharacteristic
1508C2×D4C23×D5911yescharacteristic
1509C2×D4C23×D5911yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—591no—
1516C22×C4—591no—
1517C22×C4—591no—
1518C22×C4—591no—
1519C22×C4—591no—
1520C22×C4—591no—
1521C22×C4—1182no—
1522C22×C4—1182no—
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—1181no—
1532C22×C4—1181no—
1533C22×C4—1181no—
1534C22×C4—1181no—
1535C22×C4—1181no—
1536C22×C4—1181no—
1537C22×C4—1181no—
1538C22×C4—1181no—
1539C22×C4—4722no—
1540C22×C4—2364no—
1541C22×C4C23×D5911yescharacteristic
1542C22×C4C23×D5911yescharacteristic
1543Q16—1182no—
1544Q16—2361no—
1545SD16—41no—
1546SD16—1182no—
1547SD16—1182no—
1548SD16—2361no—
1549SD16—2361no—
1550SD16—2361no—
1551D8—22no—
1552D8—41no—
1553D8—2361no—
1554D8—2361no—
1555M16—41no—
1556M16—1182no—
1557M16—1182no—
1558M16—2361no—
1559M16—2361no—
1560M16—2361no—
1561C2×C8—41no—
1562C2×C8—591no—
1563C2×C8—591no—
1564C2×C8—591no—
1565C2×C8—591no—
1566C2×C8—1182no—
1567C2×C8—1182no—
1568C2×C8—2361no—
1569C2×C8—2361no—
1570C2×C8—2361no—
1571C2×C8C23×D5911yescharacteristic
1572C2×C8C23×D5911yescharacteristic
1573C2×C8C23×D5911yescharacteristic
1574C2×C8C23×D5911yescharacteristic
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—591no—
1580C4⋊C4—591no—
1581C4⋊C4—591no—
1582C4⋊C4—591no—
1583C4⋊C4—591no—
1584C4⋊C4—591no—
1585C4⋊C4—591no—
1586C4⋊C4—591no—
1587C4⋊C4—591no—
1588C4⋊C4—1181no—
1589C4⋊C4—1181no—
1590C4⋊C4—1181no—
1591C4⋊C4—1181no—
1592C4⋊C4—1181no—
1593C4⋊C4—1181no—
1594C4⋊C4—1181no—
1595C4⋊C4—1181no—
1596C4⋊C4—1181no—
1597C4⋊C4—1181no—
1598C4⋊C4—1181no—
1599C4⋊C4—1181no—
1600C4⋊C4—1181no—
1601C4⋊C4—1181no—
1602C4⋊C4—1181no—
1603C4⋊C4—1181no—
1604C4⋊C4—1181no—
1605C4⋊C4—1181no—
1606C4⋊C4—1181no—
1607C4⋊C4—1181no—
1608C4⋊C4—1181no—
1609C4⋊C4D4×D5911yescharacteristic
1610C4⋊C4C23×D5911yescharacteristic
1611C4⋊C4C23×D5911yescharacteristic
1612C4⋊C4C23×D5911yescharacteristic
1613C4⋊C4C23×D5911yescharacteristic
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—591no—
1623C22⋊C4—591no—
1624C22⋊C4—591no—
1625C22⋊C4—591no—
1626C22⋊C4—591no—
1627C22⋊C4—591no—
1628C22⋊C4—591no—
1629C22⋊C4—591no—
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⋊C4D4×D5911yescharacteristic
1650C22⋊C4D4×D5911yescharacteristic
1651C42—591no—
1652C42—1181no—
1653C42—1181no—
1654C42—1181no—
1655C42—1181no—
1656C42—1181no—
1657C42—1181no—
1658C42—1181no—
1659C42C23×D5911yescharacteristic
1660C23—21no—
1661C23—21no—
1662C23—21no—
1663C23—42no—
1664C23—81no—
1665C23—81no—
1666C23—591no—
1667C23—591no—
1668C23—591no—
1669C23—1182no—
1670C23—1182no—
1671C23—1181no—
1672C23—1181no—
1673C23—4721no—
1674C23—4721no—
1675C23—4721no—
1676C23—4721no—
1677C23—4721no—
1678C23—2361no—
1679C23—2362no—
1680C23—2362no—
1681C23—2362no—
1682C23—2362no—
1683C23C2×D4×D5911yescharacteristic
1684C23C2×D4×D5911yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—81no—
1688Q8—592no—
1689Q8—1182no—
1690Q8—1181no—
1691Q8—1181no—
1692Q8—1181no—
1693Q8—4721no—
1694Q8—2362no—
1695D4—21no—
1696D4—21no—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—41no—
1701D4—42no—
1702D4—42no—
1703D4—42no—
1704D4—81no—
1705D4—81no—
1706D4—1182no—
1707D4—1182no—
1708D4—1182no—
1709D4—1182no—
1710D4—1182no—
1711D4—1184no—
1712D4—1181no—
1713D4—1181no—
1714D4—1181no—
1715D4—1181no—
1716D4—4721no—
1717D4—4721no—
1718D4—4721no—
1719D4—4721no—
1720D4—4721no—
1721D4—4721no—
1722D4—4721no—
1723D4—4721no—
1724D4—2362no—
1725D4—2362no—
1726D4—2362no—
1727D4—2361no—
1728D4—2362no—
1729D4—2362no—
1730D4—2362no—
1731D4—2362no—
1732D4—2362no—
1733D4—2362no—
1734D4—2362no—
1735D4—2362no—
1736D4#41×D5912yes—
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—81no—
1751C2×C4—591no—
1752C2×C4—592no—
1753C2×C4—592no—
1754C2×C4—591no—
1755C2×C4—591no—
1756C2×C4—591no—
1757C2×C4—591no—
1758C2×C4—1182no—
1759C2×C4—1182no—
1760C2×C4—1182no—
1761C2×C4—1184no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—4721no—
1773C2×C4—4721no—
1774C2×C4—4721no—
1775C2×C4—4721no—
1776C2×C4—4721no—
1777C2×C4—4721no—
1778C2×C4—4721no—
1779C2×C4—4721no—
1780C2×C4—2362no—
1781C2×C4—2362no—
1782C2×C4—2362no—
1783C2×C4—2362no—
1784C2×C4—2362no—
1785C2×C4—2362no—
1786C2×C4—2362no—
1787C2×C4C2×D4×D5911yescharacteristic
1788C2×C4C2×D4×D5911yescharacteristic
1789C2×C4C2×D4×D5911yescharacteristic
1790C2×C4C2×D4×D5911yescharacteristic
1791C2×C4C24×D5911yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—1181no—
1797C8—1181no—
1798C8—1181no—
1799C8—1181no—
1800C22—21no—
1801C22—21no—
1802C22—22no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—162no—
1816C22—592no—
1817C22—592no—
1818C22—1181no—
1819C22—1181no—
1820C22—1181no—
1821C22—1181no—
1822C22—1181no—
1823C22—1181no—
1824C22—1181no—
1825C22—9442no—
1826C22—9442no—
1827C22—4724no—
1828C22—2364no—
1829C22—2361no—
1830C22—2361no—
1831C22—2361no—
1832C22—2361no—
1833C22—2361no—
1834C22—2361no—
1835C22C22×D4×D5911yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—21no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—592no—
1846C4—1181no—
1847C4—1181no—
1848C4—1182no—
1849C4—1181no—
1850C4—1181no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C4C2×#41×D5911yescharacteristic
1857C4H(5,𝔽2)×D5911yescharacteristic
1858C2—41no—
1859C2—41no—
1860C2—42no—
1861C2—81no—
1862C2—81no—
1863C2—1182no—
1864C2—1182no—
1865C2—4721no—
1866C2—4721no—
1867C2—2361no—
1868C2#546×D5911yescharacteristic
1869C2#577×D5911yescharacteristic
1870C2#2143887211yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3306C2
socleC22×C59C23×D4
hypercenter#3306D59
hypocenterC59#61192
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #21437798C2semidirect
2. #21437759C2semidirect
3. #21436418C2semidirect
4. #21436417C2semidirect
5. #21436313C2semidirect
6. #21436312C2semidirect
7. #21436242C2semidirect
8. #21436230C2semidirect
9. #21436225C2semidirect
10. #21436224C2semidirect
11. #21436210C2semidirect
12. #21436206C2semidirect
13. #21436050C2semidirect
14. #21436005C2semidirect
15. #21435993C2semidirect
16. #21435917C2semidirect
17. #21435916C2semidirect
18. #21434447C2semidirect
19. #21434080C2semidirect
20. #481×D59C2semidirect
21. #21433953C2semidirect
22. #21433753C2semidirect
23. #21433714C2semidirect
24. #21433636C2semidirect
25. #21433395C2semidirect
26. #21433311C2semidirect
27. #21432978C2semidirect
28. #21432819C2semidirect
29. #21432617C2semidirect
30. #417×D59C2semidirect
31. C59×#3306C2semidirect
34. C2×#14273751C22semidirect
35. C2×#14273748C22semidirect
37. C2×#14273733C22semidirect
38. C2×M16×D59C22semidirect
39. #16838113C22semidirect
40. #16838107C22semidirect
42. #16838102C22semidirect
43. #16838099C22semidirect
45. #16838092C22semidirect
47. #16838087C22semidirect
52. #16838052C22semidirect
61. #16838029C22semidirect
65. #16837981C22semidirect
69. #16837912C22semidirect
76. #16837883C22semidirect
78. #16837881C22semidirect
79. C2×C4⋊C4×D59C22semidirect
80. #16837767C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837758C22semidirect
84. #16837756C22semidirect
85. #16837750C22semidirect
86. #16837747C22semidirect
87. #16837742C22semidirect
88. #16837740C22semidirect
89. #16837731C22semidirect
90. #16837728C22semidirect
91. #16837727C22semidirect
92. #16837722C22semidirect
93. #16837722C22semidirect
94. #16837722C22semidirect
95. #16837721C22semidirect
96. #16837720C22semidirect
97. #16837720C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837718C22semidirect
101. #16837712C22semidirect
102. #16837710C22semidirect
103. #16837702C22semidirect
104. #16837700C22semidirect
105. #16837690C22semidirect
106. #16837686C22semidirect
107. #16837684C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837654C22semidirect
111. #16837653C22semidirect
112. #16837653C22semidirect
113. #16837648C22semidirect
114. #16837646C22semidirect
115. #16837637C22semidirect
116. #16837635C22semidirect
117. #16837632C22semidirect
118. #16837632C22semidirect
119. #16837631C22semidirect
120. #16837630C22semidirect
121. #16837628C22semidirect
122. #16837627C22semidirect
123. #16837621C22semidirect
124. #16837619C22semidirect
125. #16837603C22semidirect
126. #16837601C22semidirect
127. #16837597C22semidirect
128. #16837595C22semidirect
129. #16837566C22semidirect
130. #16837566C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837559C22semidirect
134. #16837554C22semidirect
135. #16837554C22semidirect
136. #16837553C22semidirect
137. #16837545C22semidirect
138. #16837545C22semidirect
139. #16837544C22semidirect
140. #16837539C22semidirect
141. #16837534C22semidirect
142. #16837534C22semidirect
143. #16837514C22semidirect
144. #16837510C22semidirect
145. #16837508C22semidirect
146. #16837493C22semidirect
147. #16837493C22semidirect
148. C4×#11745670C22semidirect
149. C4×#11745670C22semidirect
150. #16837480C22semidirect
151. #16837478C22semidirect
152. #16837476C22semidirect
153. #16837476C22semidirect
154. #16837475C22semidirect
155. #16837467C22semidirect
156. C8×C22⋊D59C22semidirect
157. #16837441C22semidirect
158. #106×D59C22semidirect
159. #106×D59C22semidirect
160. #16837427C22semidirect
161. #16837407C22semidirect
162. #16837405C22semidirect
163. #16837405C22semidirect
164. #16837404C22semidirect
165. #16837403C22semidirect
166. #16837402C22semidirect
167. #16837402C22semidirect
168. #16837401C22semidirect
169. #16837401C22semidirect
172. #16837400C22semidirect
173. #16837400C22semidirect
174. #16837399C22semidirect
175. #16837397C22semidirect
177. #16837395C22semidirect
178. #103×D59C22semidirect
179. #103×D59C22semidirect
180. #102×D59C22semidirect
181. #102×D59C22semidirect
182. #102×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837359C22semidirect
188. C59×#547C22semidirect
190. C59×#489C22semidirect
191. C59×#483C22semidirect
192. C59×#481C22semidirect
193. C59×#476C22semidirect
194. C59×#469C22semidirect
195. C59×#465C22semidirect
196. C59×#463C22semidirect
197. C59×#449C22semidirect
198. C59×#447C22semidirect
199. C59×#442C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
556. #11745687#41semidirect
936. #3306D59semidirect
989. #547C2×D59semidirect
1020. #489C2×D59semidirect
1028. #483C2×D59semidirect
1040. #481C2×D59semidirect
1046. #476C2×D59semidirect
1054. #469C2×D59semidirect
1064. #465C2×D59semidirect
1068. #463C2×D59semidirect
1084. #449C2×D59semidirect
1088. #447C2×D59semidirect
1090. #442C2×D59semidirect
1102. #435C2×D59semidirect
1122. #417C2×D59semidirect
1134. C2×#102C2×D59semidirect
1138. C59#61192semidirect

Maximal subgroups

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

subgroupindex
#214377982
#214377592
#214364182
#214364172
#214363132
#214363122
#214362422
#214362302
#214362252
#214362242
#214362102
#214362062
#214360502
#214360052
#214359932
#214359172
#214359162
#214344472
#214340802
#481×D592
#214339532
#214337532
#214337142
#214336362
#214333952
#214333112
#214329782
#214328192
#214326172
#417×D592
C59×#33062
#6119259