Finite Group Databasebeta

← #29475236

Subgroups — #29475236

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438390C211yesmaximal, characteristic, complemented
2#21437759C211yesmaximal, characteristic, complemented
3#21436428C211yesmaximal, characteristic, complemented
4#21436367C211yesmaximal, characteristic, complemented
5#21436324C211yesmaximal, characteristic, complemented
6#21436298C211yesmaximal, characteristic, complemented
7#21436161C211yesmaximal, characteristic, complemented
8#21436113C211yesmaximal, characteristic, complemented
9#21436105C211yesmaximal, characteristic, complemented
10#21435759C211yesmaximal, characteristic, complemented
11#21435748C211yesmaximal, characteristic, complemented
12#21435723C211yesmaximal, characteristic, complemented
13#21435694C211yesmaximal, characteristic, complemented
14#21435686C211yesmaximal, characteristic, complemented
15#21435648C211yesmaximal, characteristic, complemented
16#21435604C211yesmaximal, characteristic, complemented
17#21435593C211yesmaximal, characteristic, complemented
18#21435191C211yesmaximal, characteristic, complemented
19#21435165C211yesmaximal, characteristic, complemented
20#21435000C211yesmaximal, characteristic, complemented
21#21434981C211yesmaximal, characteristic, complemented
22#21434911C211yesmaximal, characteristic, complemented
23#21434904C211yesmaximal, characteristic, complemented
24#21434363C211yesmaximal, characteristic, complemented
25#21434314C211yesmaximal, characteristic, complemented
26#21433405C211yesmaximal, characteristic, complemented
27#21433368C211yesmaximal, characteristic, complemented
28#21433357C211yesmaximal, characteristic, complemented
29#21433339C211yesmaximal, characteristic, complemented
30#21433155C211yesmaximal, characteristic, complemented
31C59×#3314C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273760C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×#14273757C2211yescharacteristic, complemented
37C2×#14273756C2211yescharacteristic, complemented
38C2×#14273754C2211yescharacteristic, complemented
39C2×#14273753C2211yescharacteristic, complemented
40C2×#14273749C2211yescharacteristic, complemented
41C2×SD16×D59C2211yescharacteristic, complemented
42#16838156—21no—
43#16838148—21no—
44#16838126C2211yescharacteristic, complemented
45#16838110—21no—
46#16838100C2211yescharacteristic, complemented
47#16838098—21no—
48#16838087C2211yescharacteristic, complemented
49#16838073C2211yescharacteristic
50#16838070C2211yescharacteristic
51#16838065C2211yescharacteristic, complemented
52#16838064C2211yescharacteristic, complemented
53#16838062C2211yescharacteristic
54#16838061C2211yescharacteristic, complemented
55#16838060C2211yescharacteristic
56#16838054C2211yescharacteristic, complemented
57#16838044—21no—
58#16838042—21no—
59#16838040C2211yescharacteristic
60D4×D236C2211yescharacteristic
61#16838036—21no—
62D4×C22⋊D59C2211yescharacteristic
63#16838034—21no—
64#16838026C2211yescharacteristic, complemented
65#16838025—21no—
66#16838010C2211yescharacteristic, complemented
67#16838000—21no—
68#16837992—21no—
69#16837985—21no—
70#16837983C2211yescharacteristic, complemented
71#16837982C2211yescharacteristic
72#16837979—21no—
73#16837975C2211yescharacteristic, complemented
74#16837970C2211yescharacteristic
75#16837967—21no—
76#16837915C2211yescharacteristic, complemented
77#16837911C2211yescharacteristic
78#16837910—21no—
79C2×#14273707C2211yescharacteristic, complemented
80C2×#14273700—21no—
81#121×D59C2211yescharacteristic
82#16837881C2211yescharacteristic
83#16837795C2211yescharacteristic, complemented
84#16837791C2211yescharacteristic, complemented
85#16837784C2211yescharacteristic, complemented
86#16837773C2211yescharacteristic, complemented
87#16837765C2211yescharacteristic, complemented
88#16837758C2211yescharacteristic, complemented
89#16837750C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837739C2211yescharacteristic, complemented
92#16837739C2211yescharacteristic, complemented
93#16837731C2211yescharacteristic, complemented
94#16837729C2211yescharacteristic, complemented
95#16837729C2211yescharacteristic, complemented
96#16837725C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837715C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837708C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837694C2211yescharacteristic, complemented
103#16837658C2211yescharacteristic, complemented
104#16837655C2211yescharacteristic, complemented
105#16837653C2211yescharacteristic, complemented
106#16837651C2211yescharacteristic, complemented
107#16837650C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837649C2211yescharacteristic, complemented
111#16837649C2211yescharacteristic, complemented
112#16837647C2211yescharacteristic, complemented
113#16837647C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837639C2211yescharacteristic, complemented
116#16837631C2211yescharacteristic, complemented
117#16837627C2211yescharacteristic, complemented
118#16837625C2211yescharacteristic, complemented
119#16837621C2211yescharacteristic, complemented
120#16837620C2211yescharacteristic, complemented
121#16837617C2211yescharacteristic, complemented
122#16837611C2211yescharacteristic, complemented
123#16837605C2211yescharacteristic, complemented
124#16837603C2211yescharacteristic, complemented
125#16837602C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837596C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic
132#16837565C2211yescharacteristic
133#16837565C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837562C2211yescharacteristic, complemented
136#16837562C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic
139#16837559C2211yescharacteristic, complemented
140#16837559C2211yescharacteristic, complemented
141#16837556C2211yescharacteristic, complemented
142#16837554C2211yescharacteristic, complemented
143#16837554C2211yescharacteristic, complemented
144#16837554C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837554C2211yescharacteristic, complemented
147#16837553C2211yescharacteristic, complemented
148#16837551C2211yescharacteristic, complemented
149#16837550C2211yescharacteristic, complemented
150#16837550C2211yescharacteristic, complemented
151#16837549C2211yescharacteristic, complemented
152#16837549C2211yescharacteristic, complemented
153#16837548C2211yescharacteristic
154#16837548C2211yescharacteristic, complemented
155#16837547C2211yescharacteristic, complemented
156#16837546C2211yescharacteristic, complemented
157#16837543C2211yescharacteristic, complemented
158#16837542C2211yescharacteristic, complemented
159#16837540C2211yescharacteristic, complemented
160#16837537C2211yescharacteristic, complemented
161#16837537C2211yescharacteristic, complemented
162#16837510C2211yescharacteristic, complemented
163#16837501C2211yescharacteristic, complemented
164#16837499C2211yescharacteristic, complemented
165#16837496C2211yescharacteristic, complemented
166C4×#11745672C2211yescharacteristic, complemented
167C4×#11745670C2211yescharacteristic, complemented
168#16837482C2211yescharacteristic, complemented
169#16837480C2211yescharacteristic, complemented
170#16837479C2211yescharacteristic, complemented
171#16837478C2211yescharacteristic, complemented
172#16837477C2211yescharacteristic, complemented
173#16837476C2211yescharacteristic, complemented
174#16837475C2211yescharacteristic, complemented
175#16837473C2211yescharacteristic, complemented
176#16837464C2211yescharacteristic, complemented
177#16837462C2211yescharacteristic, complemented
178#16837409C2211yescharacteristic, complemented
179#16837405C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837401C2211yescharacteristic, complemented
182#16837401C2211yescharacteristic, complemented
183#16837395C2211yescharacteristic, complemented
184#16837368C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837365C2211yescharacteristic, complemented
187#16837364C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#546C2211yescharacteristic
190C59×#489C2211yescharacteristic, complemented
191C59×#484C2211yescharacteristic, complemented
192C59×#480C2211yescharacteristic, complemented
193C59×#474C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#464C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C2×#102×C59C2211yescharacteristic, complemented
203#14273772—42no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687C2311yescharacteristic
215C2×#11745687C2311yescharacteristic
216#41×D59—42no—
217#41×D59—42no—
218C22×Dic118C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C22×D236—21no—
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C22×C22⋊D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59—21no—
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C2×D4×D59C2311yescharacteristic
231C22×C4×D59—21no—
232C22×C4×D59C2311yescharacteristic
233#14273760—42no—
234#14273759—42no—
235#14273757—42no—
236#14273756—42no—
237#14273754—42no—
238#14273753—42no—
239#14273749—42no—
240C2×Dic236C2311yescharacteristic
241C2×Dic236C2311yescharacteristic
242C2×#11745672C2311yescharacteristic
243C2×#11745672C2311yescharacteristic
244C2×#11745672C2311yescharacteristic
245C2×#11745660C2311yescharacteristic
246C2×#11745660C2311yescharacteristic
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745660C2311yescharacteristic
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745671C2311yescharacteristic
255C2×#11745671C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257SD16×D59—42no—
258C2×D472C2311yescharacteristic
259C2×D472C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745664C2311yescharacteristic
263C2×#11745664C2311yescharacteristic
264C2×#11745659C2311yescharacteristic
265C2×#11745659C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×C8×D59C2311yescharacteristic
268#14273726—21no—
269#14273726—21no—
270#14273725C2311yescharacteristic
271#14273724C2311yescharacteristic
272#14273723—21no—
273#14273723—21no—
274#14273723C2311yescharacteristic
275#14273722—21no—
276#14273722—21no—
277#14273722—21no—
278#14273722—21no—
279#14273722—21no—
280#14273722—21no—
281#14273721—21no—
282#14273719—21no—
283#14273718C2311yescharacteristic
284#14273717—21no—
285#14273717—21no—
286#14273716—21no—
287#14273716—21no—
288#14273716C2311yescharacteristic
289#14273715—21no—
290#14273715C2311yescharacteristic
291#14273713—21no—
292#14273713—21no—
293#14273713—21no—
294#14273713—21no—
295#14273712—21no—
296#14273712—21no—
297#14273712—21no—
298#14273712—21no—
299#14273712—21no—
300#14273712D411yescharacteristic
301#14273710—21no—
302#14273710—21no—
303#14273709—21no—
304#14273709—21no—
305#14273709D411yescharacteristic
306#14273707—21no—
307#14273707—21no—
308#14273707—21no—
309#14273707—21no—
310#14273707C2311yescharacteristic
311#14273707C2311yescharacteristic
312#14273707C2311yescharacteristic
313#14273707C2311yescharacteristic
314#14273707C2311yescharacteristic
315#14273706C2311yescharacteristic
316#14273705—21no—
317#14273705—21no—
318#14273705—21no—
319#14273705—21no—
320#14273705D411yescharacteristic
321#14273704—21no—
322#14273704—21no—
323#14273704D411yescharacteristic
324#14273703—21no—
325#14273703C2311yescharacteristic
326#14273703C2311yescharacteristic
327#14273702—21no—
328#14273702—21no—
329#14273702—21no—
330#14273702C2311yescharacteristic
331#14273702C2311yescharacteristic
332#14273702C2311yescharacteristic
333#14273702C2311yescharacteristic
334#14273701—21no—
335#14273701—21no—
336#14273701—21no—
337#14273701—21no—
338#14273701C2311yescharacteristic
339#14273701C2311yescharacteristic
340#14273701C2311yescharacteristic
341#14273700—21no—
342#14273700—21no—
343#14273700—21no—
344#14273700—21no—
345#14273700—21no—
346#14273700—21no—
347#14273700—21no—
348#14273700—21no—
349#14273700—21no—
350#14273700—21no—
351#14273700—21no—
352#14273700D411yescharacteristic
353#14273699—21no—
354#14273699—21no—
355#14273699—21no—
356#14273699—21no—
357#14273699—21no—
358#14273699D411yescharacteristic
359#14273698C2311yescharacteristic
360#14273697—21no—
361#14273697—21no—
362#14273697—21no—
363#14273697—21no—
364#14273697—21no—
365#14273697D411yescharacteristic
366#14273696—21no—
367#14273695—21no—
368#14273695—21no—
369#14273695D411yescharacteristic
370Q8×Dic59—21no—
371C4×Dic118C2311yescharacteristic
372C4×Dic118C2311yescharacteristic
373#14273692C2311yescharacteristic
374#14273692C2311yescharacteristic
375C4×D236—21no—
376C4×D236C2311yescharacteristic
377D4×Dic59C2311yescharacteristic
378#14273689—21no—
379#14273689—21no—
380#14273689—21no—
381#14273689C2311yescharacteristic
382C4×C22⋊D59—21no—
383C4×C22⋊D59—21no—
384C4×C22⋊D59C2311yescharacteristic
385C4×C22⋊D59C2311yescharacteristic
386(C22⋊D59)⋊C4—21no—
387(C22⋊D59)⋊C4—21no—
388(C22⋊D59)⋊C4—21no—
389(C22⋊D59)⋊C4—21no—
390(C22⋊D59)⋊C4—21no—
391(C22⋊D59)⋊C4—21no—
392#14273686—21no—
393#14273685C2311yescharacteristic
394#14273685C2311yescharacteristic
395#14273684C2311yescharacteristic
396#14273683—21no—
397C2×C4⋊Dic59—21no—
398C2×Dic59⋊C4—21no—
399C4⋊C4×D59—21no—
400C4⋊C4×D59C2311yescharacteristic
401C2×(C2×D59)⋊C4—21no—
402C2×(C2×D59)⋊C4—21no—
403C22⋊C4×D59—21no—
404#14273660C2311yescharacteristic
405#14273660C2311yescharacteristic
406#14273660C2311yescharacteristic
407#14273659C2311yescharacteristic
408#14273658C2311yescharacteristic
409C4⋊(C59⋊C8)C2311yescharacteristic
410Dic59⋊C8C2311yescharacteristic
411Dic59⋊C8C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273652C2311yescharacteristic
414#14273652C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273650C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429#14273647C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433#14273647C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
435C22⋊(C59⋊C8)C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442(C2×D59)⋊C8C2311yescharacteristic
443(C2×D59)⋊C8C2311yescharacteristic
444#14273637C2311yescharacteristic
445C4×C59⋊C8C2311yescharacteristic
446C8×Dic59C2311yescharacteristic
447C2×#41×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449C2×Q16×C59C2311yescharacteristic
450C2×SD16×C59C2311yescharacteristic
451C2×SD16×C59C2311yescharacteristic
452C2×M16×C59C2311yescharacteristic
453C22×C8×C59C2311yescharacteristic
454C4⋊Q8×C59C2311yescharacteristic
455#125×C59—21no—
456#124×C59C2311yescharacteristic
457#123×C59—21no—
458C22⋊Q8×C59—21no—
459C22⋊Q8×C59—21no—
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462C22⋊Q8×C59C2311yescharacteristic
463#121×C59—21no—
464#121×C59C2311yescharacteristic
465#120×C59—21no—
466C4×Q8×C59C2311yescharacteristic
467C4×D4×C59—21no—
468C4×D4×C59C2311yescharacteristic
469C4×D4×C59C2311yescharacteristic
470C2×C4⋊C4×C59C2311yescharacteristic
471C2×C4⋊C4×C59C2311yescharacteristic
472C2×C22⋊C4×C59—21no—
473#107×C59C2311yescharacteristic
474#107×C59C2311yescharacteristic
475#107×C59C2311yescharacteristic
476C4⋊C8×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489#97×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59—21no—
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497C2×Q8×C59—21no—
498C2×Q8×C59C2411yescharacteristic
499C2×Q8×C59C2411yescharacteristic
500C2×D4×C59—22no—
501C2×D4×C59—21no—
502C2×D4×C59—21no—
503C2×D4×C59—21no—
504C2×D4×C59—41no—
505C2×D4×C59C2×D411yescharacteristic
506C2×D4×C59C2411yescharacteristic
507C2×D4×C59C2411yescharacteristic
508C22×C4×C59—21no—
509C22×C4×C59—21no—
510C22×C4×C59—21no—
511C22×C4×C59—21no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C2×C22⋊D59—21no—
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—44no—
529C2×C22⋊D59—44no—
530C2×C22⋊D59—82no—
531C2×C22⋊D59C2×D411yescharacteristic
532C2×C22⋊D59C2×D411yescharacteristic
533C2×C22⋊D59C2×D411yescharacteristic
534C2×C22⋊D59C2×D411yescharacteristic
535C22×Dic59—21no—
536C22×Dic59—21no—
537C22×Dic59—21no—
538C22×Dic59—21no—
539C22×Dic59C2×D411yescharacteristic
540#11745689—41no—
541#11745689—41no—
542#11745689—41no—
543#11745689—41no—
544Q8×D59—22no—
545Q8×D59—41no—
546Q8×D59—41no—
547Q8×D59—41no—
548#11745687—22no—
549#11745687—22no—
550#11745687—22no—
551#11745687—41no—
552#11745687—44no—
553#11745687—44no—
554D4×D59—22no—
555D4×D59—22no—
556D4×D59—41no—
557D4×D59—41no—
558D4×D59—41no—
559D4×D59—41no—
560D4×D59—44no—
561D4×D59—44no—
562D4×D59—82no—
563#11745685—22no—
564#11745685—22no—
565#11745685—41no—
566#11745685—41no—
567#11745685—41no—
568#11745685—41no—
569#11745685—41no—
570#11745685—41no—
571#11745685—44no—
572C2×D236—21no—
573C2×D236—21no—
574C2×D236—21no—
575C2×D236—21no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236—82no—
581C2×D236C2×D411yescharacteristic
582C2×D236C2×D411yescharacteristic
583C2×D236C2411yescharacteristic
584C2×D236C2411yescharacteristic
585C2×D236C2411yescharacteristic
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—41no—
596C2×C4×D59—41no—
597C2×C4×D59—44no—
598C2×C4×D59C2×D411yescharacteristic
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2411yescharacteristic
601C2×C4×D59C2411yescharacteristic
602C2×C4×D59C2411yescharacteristic
603C2×Dic118—21no—
604C2×Dic118—21no—
605C2×Dic118—21no—
606C2×Dic118—41no—
607C2×Dic118—41no—
608C2×Dic118C2×D411yescharacteristic
609C2×Dic118C2411yescharacteristic
610C2×Dic118C2411yescharacteristic
611C2×Dic118C2411yescharacteristic
612Q16×C59—41no—
613SD16×C59—22no—
614SD16×C59—41no—
615M16×C59—41no—
616C2×C8×C59—41no—
617C2×C8×C59C2411yescharacteristic
618C2×C8×C59C2411yescharacteristic
619C2×C8×C59C2411yescharacteristic
620C2×C8×C59C2411yescharacteristic
621C4⋊C4×C59—21no—
622C4⋊C4×C59—21no—
623C4⋊C4×C59—21no—
624C4⋊C4×C59—21no—
625C4⋊C4×C59—21no—
626C4⋊C4×C59—21no—
627C4⋊C4×C59—21no—
628C4⋊C4×C59C2×D411yescharacteristic
629C4⋊C4×C59C2411yescharacteristic
630C4⋊C4×C59C2411yescharacteristic
631C4⋊C4×C59C2411yescharacteristic
632C4⋊C4×C59C2411yescharacteristic
633C22⋊C4×C59—21no—
634C22⋊C4×C59—21no—
635C22⋊C4×C59—21no—
636C22⋊C4×C59—21no—
637C22⋊C4×C59—21no—
638C22⋊C4×C59—21no—
639C22⋊C4×C59—21no—
640C22⋊C4×C59C2×D411yescharacteristic
641C22⋊C4×C59C2×D411yescharacteristic
642C42×C59—21no—
643C42×C59C2411yescharacteristic
644C22⋊Dic59—21no—
645C22⋊Dic59—21no—
646C22⋊Dic59—21no—
647C22⋊Dic59C2×D411yescharacteristic
648C22⋊Dic59C2×D411yescharacteristic
649#11745672—22no—
650#11745672—41no—
651#11745672—41no—
652#11745671—41no—
653#11745671—41no—
654#11745671—41no—
655#11745670—22no—
656#11745670—22no—
657#11745670—41no—
658#11745670—41no—
659#11745669—22no—
660#11745669—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)⋊C4—21no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4C2×D411yescharacteristic
683(C2×D59)⋊C4C2×D411yescharacteristic
684(C2×D59)⋊C4C2×D411yescharacteristic
685(C2×D59)⋊C4C2×D411yescharacteristic
686(C2×D59)⋊C4C2×D411yescharacteristic
687(C2×D59)⋊C4C2×D411yescharacteristic
688C4⋊Dic59—21no—
689C4⋊Dic59—21no—
690C4⋊Dic59—21no—
691C4⋊Dic59—21no—
692C4⋊Dic59—21no—
693C4⋊Dic59—21no—
694C4⋊Dic59C2×D411yescharacteristic
695C4⋊Dic59C2411yescharacteristic
696C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4C2×D411yescharacteristic
709Dic59⋊C4C2×D411yescharacteristic
710Dic59⋊C4C2×D411yescharacteristic
711Dic59⋊C4C2×D411yescharacteristic
712C4×Dic59—21no—
713C4×Dic59—21no—
714C4×Dic59—21no—
715C4×Dic59—21no—
716C4×Dic59—21no—
717C4×Dic59—21no—
718C4×Dic59C2411yescharacteristic
719#11745664—41no—
720#11745664—41no—
721C2×C59⋊C8C2411yescharacteristic
722C2×C59⋊C8C2411yescharacteristic
723C2×C59⋊C8C2411yescharacteristic
724C2×C59⋊C8C2411yescharacteristic
725Dic236—22no—
726Dic236—22no—
727D472—41no—
728D472—41no—
729#11745660—22no—
730#11745660—41no—
731#11745660—41no—
732#11745660—41no—
733#11745660—41no—
734#11745659—41no—
735#11745659—41no—
736#11745659—41no—
737C8×D59—41no—
738C23×C59—21no—
739C23×C59—21no—
740C23×C59—42no—
741C23×C59—81no—
742C23×C59—81no—
743C23×C59C22×D411yescharacteristic
744C23×C59C22×D411yescharacteristic
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—41no—
749C22×D59—41no—
750C22×D59—41no—
751C22×D59—42no—
752C22×D59—42no—
753C22×D59—42no—
754C22×D59—42no—
755C22×D59—81no—
756C22×D59—81no—
757C22×D59—81no—
758C22×D59—81no—
759C22×D59—81no—
760C22×D59C22×D411yescharacteristic
761C22×D59C22×D411yescharacteristic
762C22×D59C22×D411yescharacteristic
763Q8×C59—21no—
764Q8×C59—21no—
765Q8×C59—21no—
766Q8×C59—21no—
767Q8×C59—81no—
768D4×C59—21no—
769D4×C59—21no—
770D4×C59—21no—
771D4×C59—41no—
772D4×C59—42no—
773D4×C59—42no—
774D4×C59—81no—
775D4×C59H(5,𝔽2)12yes—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—42no—
787C2×C4×C59—81no—
788C2×C4×C59—81no—
789C2×C4×C59—81no—
790C2×C4×C59C22×D411yescharacteristic
791C2×C4×C59C22×D411yescharacteristic
792C2×C4×C59C22×D411yescharacteristic
793C2×C4×C59C22×D411yescharacteristic
794C2×C4×C59C2511yescharacteristic
795C22⋊D59—24no—
796C22⋊D59—41no—
797C22⋊D59—41no—
798C22⋊D59—41no—
799C22⋊D59—41no—
800C22⋊D59—42no—
801C22⋊D59—42no—
802C22⋊D59—42no—
803C22⋊D59—42no—
804C22⋊D59—42no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—81no—
809C22⋊D59—81no—
810C22⋊D59—81no—
811C22⋊D59—81no—
812C22⋊D59—81no—
813C2×Dic59—24no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—41no—
820C2×Dic59—42no—
821C2×Dic59—81no—
822C2×Dic59—81no—
823C2×Dic59C22×D411yescharacteristic
824C2×Dic59C22×D411yescharacteristic
825C2×Dic59C22×D411yescharacteristic
826C2×Dic59C22×D411yescharacteristic
827C2×Dic59C22×D411yescharacteristic
828D236—21no—
829D236—21no—
830D236—21no—
831D236—21no—
832D236—21no—
833D236—21no—
834D236—41no—
835D236—41no—
836D236—42no—
837D236—42no—
838D236—81no—
839D236—81no—
840D236—81no—
841D236—81no—
842D236—81no—
843D236—81no—
844C4×D59—21no—
845C4×D59—21no—
846C4×D59—21no—
847C4×D59—21no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—41no—
851C4×D59—41no—
852C4×D59—42no—
853C4×D59—42no—
854C4×D59—42no—
855C4×D59—42no—
856C4×D59—81no—
857C4×D59—81no—
858C4×D59—81no—
859C4×D59—81no—
860C4×D59—81no—
861Dic118—21no—
862Dic118—21no—
863Dic118—21no—
864Dic118—21no—
865Dic118—21no—
866Dic118—41no—
867Dic118—42no—
868Dic118—81no—
869Dic118—81no—
870Dic118H(5,𝔽2)12yes—
871C8×C59—21no—
872C8×C59—21no—
873C8×C59—21no—
874C8×C59—21no—
875C59⋊C8—21no—
876C59⋊C8—21no—
877C59⋊C8—21no—
878C59⋊C8—21no—
879#61654—591nomaximal, Sylow
880C22×C59—21no—
881C22×C59—21no—
882C22×C59—21no—
883C22×C59—21no—
884C22×C59—22no—
885C22×C59—21no—
886C22×C59—21no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—162no—
893C22×C59C23×D411yescharacteristic
894C2×D59—21no—
895C2×D59—21no—
896C2×D59—21no—
897C2×D59—21no—
898C2×D59—21no—
899C2×D59—21no—
900C2×D59—21no—
901C2×D59—21no—
902C2×D59—21no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—82no—
913C2×D59—84no—
914C2×D59—162no—
915C2×D59—162no—
916C4×C59—21no—
917C4×C59—21no—
918C4×C59—21no—
919C4×C59—21no—
920C4×C59—41no—
921C4×C59—41no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59C2×H(5,𝔽2)11yescharacteristic
927C4×C59C2×H(5,𝔽2)11yescharacteristic
928Dic59—21no—
929Dic59—21no—
930Dic59—22no—
931Dic59—21no—
932Dic59—21no—
933Dic59—21no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938#3541—591no—
939#3488—591no—
940#3333—591no—
941#3327—591no—
942#3324—591no—
943#3322—591no—
944#3314D5911yescharacteristic, complemented
945#3313—591no—
946#3310—591no—
947#3309—591no—
948#3278—591no—
949#3277—591no—
950#3275—591no—
951#3272—591no—
952#3271—591no—
953#3269—591no—
954#3266—591no—
955#3265—591no—
956#3224—591no—
957#3222—591no—
958#3203—591no—
959#3201—591no—
960#3194—591no—
961#3193—591no—
962#3124—591no—
963#3120—591no—
964#3012—591no—
965#3009—591no—
966#3007—591no—
967#3005—591no—
968#2978—591no—
969C2×C59—42no—
970C2×C59—41no—
971C2×C59—41no—
972C2×C59—81no—
973C2×C59#348411yescharacteristic
974C2×C59#358511yescharacteristic
975C2×C59#358611yescharacteristic
976D59—41no—
977D59—41no—
978D59—41no—
979D59—81no—
980D59—81no—
981D59—81no—
982C2×H(5,𝔽2)—591no—
983C22×#41—591no—
984C2×#137—591no—
985C2×#137—591no—
986C2×#137—591no—
987C2×#137—591no—
988C2×AGL(1,ℤ/8)—591no—
989C2×AGL(1,ℤ/8)—591no—
990C2×#135—591no—
991C22×SD16—591no—
992#563—1181no—
993#562—1181no—
994#556—591no—
995#554—1181no—
996#554C2×D5911yescharacteristic, complemented
997#553—591no—
998#553—1181no—
999#552—591no—
1000#550—591no—
1001#550—591no—
1002D4×Q8—591no—
1003#548—591no—
1004#548—591no—
1005#548—591no—
1006#548—591no—
1007#547—591no—
1008#546—591no—
1009#546—1181no—
1010#546—1181no—
1011#546C2×D5911yescharacteristic
1012D42—591no—
1013D42—591no—
1014D42—1181no—
1015D42—1181no—
1016#542—591no—
1017#542—1181no—
1018#541—591no—
1019#539—1181no—
1020#538—1181no—
1021#538—1181no—
1022#537—591no—
1023#537—591no—
1024#537—1181no—
1025#536—591no—
1026#535—591no—
1027#535—1181no—
1028#525—591no—
1029#525—591no—
1030#525—1181no—
1031C2×C22⋊Q8—591no—
1032C2×#121—591no—
1033C2×#121—1181no—
1034#520—591no—
1035#497—591no—
1036#496—591no—
1037#495—591no—
1038#492—591no—
1039#490—591no—
1040#489C2×D5911yescharacteristic, complemented
1041#488—591no—
1042#486—591no—
1043#485—591no—
1044#484—591no—
1045#484—591no—
1046#484C2×D5911yescharacteristic, complemented
1047#483—591no—
1048#482—591no—
1049#482—591no—
1050#482—591no—
1051#480—591no—
1052#480—591no—
1053#480—591no—
1054#480C2×D5911yescharacteristic, complemented
1055#479—591no—
1056#478—591no—
1057#477—591no—
1058#474C2×D5911yescharacteristic, complemented
1059#470—591no—
1060#469—591no—
1061#469—591no—
1062#468—591no—
1063#468—591no—
1064#468—591no—
1065#468—591no—
1066#468—591no—
1067#468—591no—
1068#468—591no—
1069#468—591no—
1070#468C2×D5911yescharacteristic, complemented
1071#467—591no—
1072#467C2×D5911yescharacteristic, complemented
1073#466—591no—
1074#465—591no—
1075#464—591no—
1076#464—591no—
1077#464—591no—
1078#464C2×D5911yescharacteristic, complemented
1079#463—591no—
1080#463—591no—
1081#462—591no—
1082#461—591no—
1083#460—591no—
1084#460—591no—
1085#460—591no—
1086#459—591no—
1087#452—591no—
1088#452—591no—
1089#452—591no—
1090#452—591no—
1091#452—591no—
1092#452—591no—
1093#452—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452—591no—
1098#452C2×D5911yescharacteristic, complemented
1099#451—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450—591no—
1105#450—591no—
1106#450—591no—
1107#450—591no—
1108#450—591no—
1109#450C2×D5911yescharacteristic, complemented
1110#449—591no—
1111#449—591no—
1112#449—591no—
1113#449—591no—
1114#449—591no—
1115#449—591no—
1116#449—591no—
1117#449—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#447—591no—
1122#447—591no—
1123#441—591no—
1124#440—591no—
1125#440—591no—
1126#440C2×D5911yescharacteristic, complemented
1127C4×Q16—591no—
1128C4×Q16—591no—
1129C4×SD16—591no—
1130C4×D8—591no—
1131#436—591no—
1132#436—591no—
1133#436—591no—
1134#436—591no—
1135#435—591no—
1136#435—591no—
1137#435—591no—
1138#435C2×D5911yescharacteristic, complemented
1139#433—591no—
1140#433—591no—
1141#419—591no—
1142#418—591no—
1143#418—591no—
1144#417—591no—
1145#417—591no—
1146#417C2×D5911yescharacteristic, complemented
1147#416—591no—
1148C2×#102C2×D5911yescharacteristic, complemented
1149#408—591no—
1150#408—591no—
1151#407—591no—
1152#407—591no—
1153C59#6165411yescharacteristic, complemented, Sylow
1154H(5,𝔽2)—2362no—
1155H(5,𝔽2)—2362no—
1156C2×#41—591no—
1157C2×#41—591no—
1158C2×#41—591no—
1159C2×#41—591no—
1160C2×#41—591no—
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—591no—
1164C2×#41—1181no—
1165C2×#41—1181no—
1166C2×#41—1181no—
1167C2×#41—2362no—
1168C2×#41—2362no—
1169C2×#41C22×D5911yescharacteristic
1170C22×Q8—591no—
1171C22×Q8—591no—
1172C22×Q8—591no—
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—1181no—
1177C22×D4—1181no—
1178C22×D4—1181no—
1179C22×D4—1181no—
1180C22×D4—1181no—
1181C22×D4—1181no—
1182C22×D4—1181no—
1183C22×D4C22×D5911yescharacteristic
1184C23×C4—591no—
1185C23×C4—1181no—
1186#137—2362no—
1187#137—2362no—
1188#137—2362no—
1189#137—2362no—
1190AGL(1,ℤ/8)—2362no—
1191AGL(1,ℤ/8)—2362no—
1192#135—2362no—
1193C2×Q16—591no—
1194C2×Q16—591no—
1195C2×Q16—591no—
1196C2×Q16—591no—
1197C2×Q16—591no—
1198C2×Q16C22×D5911yescharacteristic
1199C2×SD16—591no—
1200C2×SD16—591no—
1201C2×SD16—591no—
1202C2×SD16—591no—
1203C2×SD16—591no—
1204C2×SD16—591no—
1205C2×SD16—591no—
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—2362no—
1212C2×SD16C22×D5911yescharacteristic
1213C2×SD16C22×D5911yescharacteristic
1214C2×D8—591no—
1215C2×D8—591no—
1216C2×D8—591no—
1217C2×D8—591no—
1218C2×M16—591no—
1219C2×M16—591no—
1220C2×M16—591no—
1221C2×M16—591no—
1222C2×M16—591no—
1223C2×M16C22×D5911yescharacteristic
1224C22×C8—591no—
1225C22×C8C22×D5911yescharacteristic
1226C4⋊Q8—591no—
1227C4⋊Q8—1181no—
1228C4⋊Q8—1181no—
1229C4⋊Q8C22×D5911yescharacteristic
1230#127—591no—
1231#127—591no—
1232#127—1181no—
1233#127—1181no—
1234#126—1181no—
1235#126—1181no—
1236#126—1181no—
1237#126—1181no—
1238#126—1181no—
1239#126—1181no—
1240#126—1181no—
1241#125—21no—
1242#125—591no—
1243#125—1181no—
1244#125—1181no—
1245#125—1181no—
1246#124—591no—
1247#124—591no—
1248#124—1181no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124—1181no—
1255#124C22×D5911yescharacteristic
1256#123—21no—
1257#123—591no—
1258#123—591no—
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—
1268C22⋊Q8—21no—
1269C22⋊Q8—21no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—591no—
1276C22⋊Q8—591no—
1277C22⋊Q8—591no—
1278C22⋊Q8—591no—
1279C22⋊Q8—591no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
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⋊Q8C22×D5911yescharacteristic
1292C22⋊Q8C22×D5911yescharacteristic
1293C22⋊Q8C22×D5911yescharacteristic
1294#121—21no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—591no—
1302#121—591no—
1303#121—591no—
1304#121—591no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
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#121—1181no—
1323#121—1181no—
1324#121—1181no—
1325#121—1181no—
1326#121—1181no—
1327#121—1181no—
1328#121C22×D5911yescharacteristic
1329#120—21no—
1330#120—591no—
1331#120—591no—
1332#120—1181no—
1333#120—1181no—
1334#120—1181no—
1335#120—1181no—
1336#120—1181no—
1337#120—1181no—
1338#120—1181no—
1339#120—1181no—
1340C4×Q8—591no—
1341C4×Q8—591no—
1342C4×Q8—591no—
1343C4×Q8—591no—
1344C4×Q8—1181no—
1345C4×Q8C22×D5911yescharacteristic
1346C4×D4—21no—
1347C4×D4—591no—
1348C4×D4—591no—
1349C4×D4—591no—
1350C4×D4—591no—
1351C4×D4—591no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4C22×D5911yescharacteristic
1365C4×D4C22×D5911yescharacteristic
1366#117—591no—
1367#117—591no—
1368#117—591no—
1369#117—1181no—
1370#117—1181no—
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—1181no—
1373C2×C4⋊C4—1181no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4C22×D5911yescharacteristic
1376C2×C4⋊C4C22×D5911yescharacteristic
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—1181no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381#107—591no—
1382#107—591no—
1383#107—591no—
1384#107C22×D5911yescharacteristic
1385#107C22×D5911yescharacteristic
1386#107C22×D5911yescharacteristic
1387#106—591no—
1388#106—591no—
1389C4⋊C8—591no—
1390C4⋊C8—591no—
1391C4⋊C8—591no—
1392C4⋊C8C22×D5911yescharacteristic
1393#103—591no—
1394#103—591no—
1395#103—591no—
1396#103—591no—
1397#103—591no—
1398#103—591no—
1399#103—591no—
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103C22×D5911yescharacteristic
1404#103C22×D5911yescharacteristic
1405#103C22×D5911yescharacteristic
1406#103C22×D5911yescharacteristic
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#102—591no—
1416#102—591no—
1417#102—591no—
1418#102—591no—
1419#102C22×D5911yescharacteristic
1420#102C22×D5911yescharacteristic
1421#102C22×D5911yescharacteristic
1422#102C22×D5911yescharacteristic
1423#102C22×D5911yescharacteristic
1424#102C22×D5911yescharacteristic
1425C22⋊C8—591no—
1426C22⋊C8—591no—
1427C22⋊C8—591no—
1428C22⋊C8—591no—
1429C22⋊C8—591no—
1430C22⋊C8—591no—
1431C22⋊C8—591no—
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8C22×D5911yescharacteristic
1436C22⋊C8C22×D5911yescharacteristic
1437#97—591no—
1438#97C22×D5911yescharacteristic
1439C4×C8—591no—
1440C4×C8—591no—
1441C24—21no—
1442C24—591no—
1443C24—1181no—
1444C24—1181no—
1445C24—1181no—
1446#41—22no—
1447#41—41no—
1448#41—1182no—
1449#41—1182no—
1450#41—1182no—
1451#41—1182no—
1452#41—1182no—
1453#41—2361no—
1454#41—2361no—
1455#41—2361no—
1456#41—2361no—
1457#41—2361no—
1458#41—2361no—
1459#41—2364no—
1460#41—2361no—
1461#41—2361no—
1462#41—2361no—
1463#41—2364no—
1464#41—2364no—
1465#41—2361no—
1466#41—2361no—
1467C2×Q8—21no—
1468C2×Q8—591no—
1469C2×Q8—591no—
1470C2×Q8—591no—
1471C2×Q8—591no—
1472C2×Q8—1181no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1182no—
1476C2×Q8—2361no—
1477C2×Q8—2361no—
1478C2×Q8—2361no—
1479C2×Q8—2361no—
1480C2×Q8—2361no—
1481C2×Q8C23×D5911yescharacteristic
1482C2×Q8C23×D5911yescharacteristic
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—41no—
1488C2×D4—591no—
1489C2×D4—591no—
1490C2×D4—591no—
1491C2×D4—591no—
1492C2×D4—591no—
1493C2×D4—591no—
1494C2×D4—591no—
1495C2×D4—591no—
1496C2×D4—591no—
1497C2×D4—1181no—
1498C2×D4—1181no—
1499C2×D4—1181no—
1500C2×D4—1181no—
1501C2×D4—1181no—
1502C2×D4—1181no—
1503C2×D4—1181no—
1504C2×D4—1181no—
1505C2×D4—1181no—
1506C2×D4—1181no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1182no—
1510C2×D4—1182no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—4722no—
1522C2×D4—4722no—
1523C2×D4—4722no—
1524C2×D4—2361no—
1525C2×D4—2361no—
1526C2×D4—2361no—
1527C2×D4—2361no—
1528C2×D4—2364no—
1529C2×D4—2364no—
1530C2×D4—2364no—
1531C2×D4—2364no—
1532C2×D4D4×D5911yescharacteristic
1533C2×D4C23×D5911yescharacteristic
1534C2×D4C23×D5911yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—591no—
1542C22×C4—591no—
1543C22×C4—591no—
1544C22×C4—591no—
1545C22×C4—1181no—
1546C22×C4—1181no—
1547C22×C4—1181no—
1548C22×C4—1181no—
1549C22×C4—1181no—
1550C22×C4—1181no—
1551C22×C4—1181no—
1552C22×C4—1181no—
1553C22×C4—1181no—
1554C22×C4—1181no—
1555C22×C4—1181no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—2361no—
1559C22×C4—2361no—
1560C22×C4—2364no—
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563Q16—41no—
1564Q16—1182no—
1565Q16—1182no—
1566Q16—1182no—
1567Q16—2361no—
1568Q16—2361no—
1569SD16—22no—
1570SD16—41no—
1571SD16—1182no—
1572SD16—1182no—
1573SD16—1182no—
1574SD16—2361no—
1575SD16—2361no—
1576SD16—2361no—
1577SD16—2361no—
1578SD16—2361no—
1579SD16—2361no—
1580SD16—2361no—
1581SD16—2361no—
1582SD16—2361no—
1583D8—1182no—
1584D8—2361no—
1585D8—2361no—
1586D8—2361no—
1587M16—41no—
1588M16—2361no—
1589M16—2361no—
1590M16—2361no—
1591M16—2361no—
1592M16—2361no—
1593C2×C8—41no—
1594C2×C8—591no—
1595C2×C8—591no—
1596C2×C8—591no—
1597C2×C8—591no—
1598C2×C8—2361no—
1599C2×C8C23×D5911yescharacteristic
1600C2×C8C23×D5911yescharacteristic
1601C2×C8C23×D5911yescharacteristic
1602C2×C8C23×D5911yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—591no—
1611C4⋊C4—591no—
1612C4⋊C4—591no—
1613C4⋊C4—591no—
1614C4⋊C4—591no—
1615C4⋊C4—591no—
1616C4⋊C4—591no—
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⋊C4—1181no—
1626C4⋊C4—1181no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4D4×D5911yescharacteristic
1635C4⋊C4C23×D5911yescharacteristic
1636C4⋊C4C23×D5911yescharacteristic
1637C4⋊C4C23×D5911yescharacteristic
1638C4⋊C4C23×D5911yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—591no—
1647C22⋊C4—591no—
1648C22⋊C4—591no—
1649C22⋊C4—591no—
1650C22⋊C4—591no—
1651C22⋊C4—591no—
1652C22⋊C4—591no—
1653C22⋊C4—591no—
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—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4D4×D5911yescharacteristic
1679C22⋊C4D4×D5911yescharacteristic
1680C42—21no—
1681C42—591no—
1682C42—1181no—
1683C42—1181no—
1684C42—1181no—
1685C42—1181no—
1686C42—1181no—
1687C42—1181no—
1688C42C23×D5911yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—42no—
1692C23—81no—
1693C23—81no—
1694C23—591no—
1695C23—591no—
1696C23—591no—
1697C23—1181no—
1698C23—1181no—
1699C23—1181no—
1700C23—4721no—
1701C23—4721no—
1702C23—4721no—
1703C23—4721no—
1704C23—4721no—
1705C23—2361no—
1706C23—2361no—
1707C23—2361no—
1708C23—2362no—
1709C23—2362no—
1710C23—2362no—
1711C23—2362no—
1712C23C2×D4×D5911yescharacteristic
1713C23C2×D4×D5911yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—81no—
1719Q8—592no—
1720Q8—1181no—
1721Q8—1181no—
1722Q8—1181no—
1723Q8—1181no—
1724Q8—1181no—
1725Q8—4721no—
1726Q8—4721no—
1727Q8—2361no—
1728Q8—2362no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—41no—
1733D4—42no—
1734D4—42no—
1735D4—81no—
1736D4—1184no—
1737D4—1181no—
1738D4—1181no—
1739D4—1181no—
1740D4—1181no—
1741D4—1181no—
1742D4—1181no—
1743D4—4721no—
1744D4—4721no—
1745D4—4721no—
1746D4—4721no—
1747D4—4721no—
1748D4—4721no—
1749D4—4721no—
1750D4—4721no—
1751D4—4721no—
1752D4—4721no—
1753D4—4721no—
1754D4—2361no—
1755D4—2361no—
1756D4—2362no—
1757D4—2362no—
1758D4—2361no—
1759D4—2361no—
1760D4—2361no—
1761D4—2361no—
1762D4—2362no—
1763D4—2362no—
1764D4—2362no—
1765D4—2362no—
1766D4—2362no—
1767D4—2362no—
1768D4—2362no—
1769D4—2362no—
1770D4#1427377312yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—591no—
1786C2×C4—591no—
1787C2×C4—591no—
1788C2×C4—591no—
1789C2×C4—591no—
1790C2×C4—1184no—
1791C2×C4—1181no—
1792C2×C4—1181no—
1793C2×C4—1181no—
1794C2×C4—1181no—
1795C2×C4—1181no—
1796C2×C4—1181no—
1797C2×C4—1181no—
1798C2×C4—1181no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—4721no—
1803C2×C4—4721no—
1804C2×C4—4721no—
1805C2×C4—4721no—
1806C2×C4—4721no—
1807C2×C4—4721no—
1808C2×C4—4721no—
1809C2×C4—2361no—
1810C2×C4—2361no—
1811C2×C4—2362no—
1812C2×C4—2362no—
1813C2×C4—2362no—
1814C2×C4—2362no—
1815C2×C4—2361no—
1816C2×C4—2362no—
1817C2×C4C2×D4×D5911yescharacteristic
1818C2×C4C2×D4×D5911yescharacteristic
1819C2×C4C2×D4×D5911yescharacteristic
1820C2×C4C2×D4×D5911yescharacteristic
1821C2×C4C24×D5911yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1181no—
1827C8—1181no—
1828C8—1181no—
1829C8—1181no—
1830C22—21no—
1831C22—21no—
1832C22—22no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—162no—
1843C22—1181no—
1844C22—1181no—
1845C22—1181no—
1846C22—1181no—
1847C22—1181no—
1848C22—1181no—
1849C22—1181no—
1850C22—1181no—
1851C22—1181no—
1852C22—9442no—
1853C22—9442no—
1854C22—4724no—
1855C22—4722no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22C22×D4×D5911yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—1181no—
1877C4—1181no—
1878C4—1181no—
1879C4—1182no—
1880C4—1181no—
1881C4—1181no—
1882C4—2361no—
1883C4—2361no—
1884C4—2361no—
1885C4—2361no—
1886C4H(5,𝔽2)×D5911yescharacteristic
1887C4C2×#1427377311yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—4721no—
1893C2—4721no—
1894C2—4721no—
1895C2—2361no—
1896C2—2361no—
1897C2—2361no—
1898C2#2143772611yescharacteristic
1899C2#2143887111yescharacteristic
1900C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3314C2
socleC22×C59C23×D4
hypercenter#3314D59
hypocenterC59#61654
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #21438390C2semidirect
2. #21437759C2semidirect
3. #21436428C2semidirect
4. #21436367C2semidirect
5. #21436324C2semidirect
6. #21436298C2semidirect
7. #21436161C2semidirect
8. #21436113C2semidirect
9. #21436105C2semidirect
10. #21435759C2semidirect
11. #21435748C2semidirect
12. #21435723C2semidirect
13. #21435694C2semidirect
14. #21435686C2semidirect
15. #21435648C2semidirect
16. #21435604C2semidirect
17. #21435593C2semidirect
18. #21435191C2semidirect
19. #21435165C2semidirect
20. #21435000C2semidirect
21. #21434981C2semidirect
22. #21434911C2semidirect
23. #21434904C2semidirect
24. #21434363C2semidirect
25. #21434314C2semidirect
26. #21433405C2semidirect
27. #21433368C2semidirect
28. #21433357C2semidirect
29. #21433339C2semidirect
30. #21433155C2semidirect
31. C59×#3314C2semidirect
34. C2×#14273760C22semidirect
35. C2×#14273759C22semidirect
36. C2×#14273757C22semidirect
37. C2×#14273756C22semidirect
38. C2×#14273754C22semidirect
39. C2×#14273753C22semidirect
40. C2×#14273749C22semidirect
41. C2×SD16×D59C22semidirect
44. #16838126C22semidirect
46. #16838100C22semidirect
48. #16838087C22semidirect
51. #16838065C22semidirect
52. #16838064C22semidirect
54. #16838061C22semidirect
56. #16838054C22semidirect
64. #16838026C22semidirect
66. #16838010C22semidirect
70. #16837983C22semidirect
73. #16837975C22semidirect
76. #16837915C22semidirect
79. C2×#14273707C22semidirect
83. #16837795C22semidirect
84. #16837791C22semidirect
85. #16837784C22semidirect
86. #16837773C22semidirect
87. #16837765C22semidirect
88. #16837758C22semidirect
89. #16837750C22semidirect
90. #16837741C22semidirect
91. #16837739C22semidirect
92. #16837739C22semidirect
93. #16837731C22semidirect
94. #16837729C22semidirect
95. #16837729C22semidirect
96. #16837725C22semidirect
97. #16837717C22semidirect
98. #16837715C22semidirect
99. #16837715C22semidirect
100. #16837708C22semidirect
101. #16837704C22semidirect
102. #16837694C22semidirect
103. #16837658C22semidirect
104. #16837655C22semidirect
105. #16837653C22semidirect
106. #16837651C22semidirect
107. #16837650C22semidirect
108. #16837650C22semidirect
109. #16837649C22semidirect
110. #16837649C22semidirect
111. #16837649C22semidirect
112. #16837647C22semidirect
113. #16837647C22semidirect
114. #16837642C22semidirect
115. #16837639C22semidirect
116. #16837631C22semidirect
117. #16837627C22semidirect
118. #16837625C22semidirect
119. #16837621C22semidirect
120. #16837620C22semidirect
121. #16837617C22semidirect
122. #16837611C22semidirect
123. #16837605C22semidirect
124. #16837603C22semidirect
125. #16837602C22semidirect
126. #16837601C22semidirect
127. #16837596C22semidirect
128. #16837567C22semidirect
129. #16837567C22semidirect
130. #16837566C22semidirect
133. #16837565C22semidirect
134. #16837563C22semidirect
135. #16837562C22semidirect
136. #16837562C22semidirect
137. #16837562C22semidirect
139. #16837559C22semidirect
140. #16837559C22semidirect
141. #16837556C22semidirect
142. #16837554C22semidirect
143. #16837554C22semidirect
144. #16837554C22semidirect
145. #16837554C22semidirect
146. #16837554C22semidirect
147. #16837553C22semidirect
148. #16837551C22semidirect
149. #16837550C22semidirect
150. #16837550C22semidirect
151. #16837549C22semidirect
152. #16837549C22semidirect
154. #16837548C22semidirect
155. #16837547C22semidirect
156. #16837546C22semidirect
157. #16837543C22semidirect
158. #16837542C22semidirect
159. #16837540C22semidirect
160. #16837537C22semidirect
161. #16837537C22semidirect
162. #16837510C22semidirect
163. #16837501C22semidirect
164. #16837499C22semidirect
165. #16837496C22semidirect
166. C4×#11745672C22semidirect
167. C4×#11745670C22semidirect
168. #16837482C22semidirect
169. #16837480C22semidirect
170. #16837479C22semidirect
171. #16837478C22semidirect
172. #16837477C22semidirect
173. #16837476C22semidirect
174. #16837475C22semidirect
175. #16837473C22semidirect
176. #16837464C22semidirect
177. #16837462C22semidirect
178. #16837409C22semidirect
179. #16837405C22semidirect
180. #16837405C22semidirect
181. #16837401C22semidirect
182. #16837401C22semidirect
183. #16837395C22semidirect
184. #16837368C22semidirect
185. #16837367C22semidirect
186. #16837365C22semidirect
187. #16837364C22semidirect
188. C59×#554C22semidirect
190. C59×#489C22semidirect
191. C59×#484C22semidirect
192. C59×#480C22semidirect
193. C59×#474C22semidirect
194. C59×#468C22semidirect
195. C59×#467C22semidirect
196. C59×#464C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C2×#102×C59C22semidirect
944. #3314D59semidirect
996. #554C2×D59semidirect
1040. #489C2×D59semidirect
1046. #484C2×D59semidirect
1054. #480C2×D59semidirect
1058. #474C2×D59semidirect
1070. #468C2×D59semidirect
1072. #467C2×D59semidirect
1078. #464C2×D59semidirect
1098. #452C2×D59semidirect
1109. #450C2×D59semidirect
1126. #440C2×D59semidirect
1138. #435C2×D59semidirect
1146. #417C2×D59semidirect
1148. C2×#102C2×D59semidirect
1153. C59#61654semidirect

Maximal subgroups

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

subgroupindex
#214383902
#214377592
#214364282
#214363672
#214363242
#214362982
#214361612
#214361132
#214361052
#214357592
#214357482
#214357232
#214356942
#214356862
#214356482
#214356042
#214355932
#214351912
#214351652
#214350002
#214349812
#214349112
#214349042
#214343632
#214343142
#214334052
#214333682
#214333572
#214333392
#214331552
C59×#33142
#6165459