Finite Group Databasebeta

← #29466202

Subgroups — #29466202

Order 15104.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1842 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437844C211yesmaximal, characteristic, complemented
2#21437759C211yesmaximal, characteristic
3#21436432C211yesmaximal, characteristic, complemented
4#21436428C211yesmaximal, characteristic, complemented
5#21436371C211yesmaximal, characteristic, complemented
6#21436367C211yesmaximal, characteristic, complemented
7#21436324C211yesmaximal, characteristic, complemented
8#21436320C211yesmaximal, characteristic, complemented
9#21436312C211yesmaximal, characteristic, complemented
10#21436305C211yesmaximal, characteristic, complemented
11#21436224C211yesmaximal, characteristic, complemented
12#21436217C211yesmaximal, characteristic, complemented
13#21436178C211yesmaximal, characteristic, complemented
14#21436168C211yesmaximal, characteristic, complemented
15#21436161C211yesmaximal, characteristic, complemented
16#21436122C211yesmaximal, characteristic, complemented
17#21436113C211yesmaximal, characteristic, complemented
18#21434447C211yesmaximal, characteristic, complemented
19#21434075C211yesmaximal, characteristic, complemented
20#21434031C211yesmaximal, characteristic, complemented
21#21433942C211yesmaximal, characteristic, complemented
22#21433786C211yesmaximal, characteristic, complemented
23#468×D59C211yesmaximal, characteristic, complemented
24#21433615C211yesmaximal, characteristic, complemented
25#21433368C211yesmaximal, characteristic, complemented
26#21433353C211yesmaximal, characteristic, complemented
27#21432936C211yesmaximal, characteristic, complemented
28#21432794C211yesmaximal, characteristic, complemented
29#21432617C211yesmaximal, characteristic, complemented
30#21432612C211yesmaximal, characteristic, complemented
31C59×#3314C211yesmaximal, characteristic, complemented
32C2×#14273772C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273756C2211yescharacteristic
36C2×SD16×D59C2211yescharacteristic, complemented
37C2×#14273733C2211yescharacteristic, complemented
38C2×M16×D59C2211yescharacteristic, complemented
39#16838126C2211yescharacteristic, complemented
40#16838123C2211yescharacteristic, complemented
41#16838107C2211yescharacteristic, complemented
42#16838094C2211yescharacteristic, complemented
43#16838093C2211yescharacteristic, complemented
44#16838092C2211yescharacteristic, complemented
45#16838087C2211yescharacteristic, complemented
46#16838086—21no—
47#16838084—21no—
48#16838081—21no—
49#16838079—21no—
50#16838073C2211yescharacteristic
51#16838070C2211yescharacteristic
52#16838062C2211yescharacteristic
53#16838060C2211yescharacteristic
54#16838044—21no—
55#16838042—21no—
56#16838040C2211yescharacteristic
57D4×D236C2211yescharacteristic
58#16838036—21no—
59D4×C22⋊D59C2211yescharacteristic
60#16838034—21no—
61#16838029C2211yescharacteristic, complemented
62#16838022—21no—
63#16838011—21no—
64#16837982C2211yescharacteristic
65#16837979—21no—
66#16837975C2211yescharacteristic, complemented
67#16837970C2211yescharacteristic
68#16837967—21no—
69#16837954—21no—
70#16837932—21no—
71#16837911C2211yescharacteristic
72#16837910—21no—
73C22⋊Q8×D59C2211yescharacteristic, complemented
74C2×#14273700—21no—
75#121×D59C2211yescharacteristic
76#16837883C2211yescharacteristic, complemented
77#16837881C2211yescharacteristic
78#16837878C2211yescharacteristic, complemented
79C2×#14273685C2211yescharacteristic, complemented
80#16837767C2211yescharacteristic, complemented
81#16837765C2211yescharacteristic, complemented
82#16837763C2211yescharacteristic, complemented
83#16837758C2211yescharacteristic, complemented
84#16837756C2211yescharacteristic, complemented
85#16837750C2211yescharacteristic, complemented
86#16837747C2211yescharacteristic, complemented
87#16837741C2211yescharacteristic, complemented
88#16837740C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837729C2211yescharacteristic, complemented
91#16837729C2211yescharacteristic, complemented
92#16837729C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837725C2211yescharacteristic, complemented
95#16837725C2211yescharacteristic, complemented
96#16837721C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837715C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837710C2211yescharacteristic, complemented
102#16837708C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837702C2211yescharacteristic, complemented
105#16837696C2211yescharacteristic, complemented
106#16837694C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837658C2211yescharacteristic, complemented
109#16837657C2211yescharacteristic, complemented
110#16837651C2211yescharacteristic, complemented
111#16837650C2211yescharacteristic, complemented
112#16837650C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837649C2211yescharacteristic, complemented
115#16837648C2211yescharacteristic, complemented
116#16837647C2211yescharacteristic, complemented
117#16837646C2211yescharacteristic, complemented
118#16837645C2211yescharacteristic, complemented
119#16837642C2211yescharacteristic, complemented
120#16837634C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837621C2211yescharacteristic, complemented
125#16837603C2211yescharacteristic, complemented
126#16837602C2211yescharacteristic, complemented
127#16837601C2211yescharacteristic, complemented
128#16837600C2211yescharacteristic, complemented
129#16837566C2211yescharacteristic, complemented
130#16837566C2211yescharacteristic, complemented
131#16837565C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837562C2211yescharacteristic, complemented
134#16837562C2211yescharacteristic, complemented
135#16837561C2211yescharacteristic, complemented
136#16837559C2211yescharacteristic, complemented
137#16837556C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837554C2211yescharacteristic, complemented
140#16837553C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837510C2211yescharacteristic, complemented
144#16837506C2211yescharacteristic, complemented
145#16837499C2211yescharacteristic, complemented
146#16837496C2211yescharacteristic, complemented
147C4×#11745672C2211yescharacteristic, complemented
148SD16×Dic59C2211yescharacteristic, complemented
149C4×#11745670C2211yescharacteristic, complemented
150#16837480C2211yescharacteristic, complemented
151#16837479C2211yescharacteristic, complemented
152#16837477C2211yescharacteristic, complemented
153#16837477C2211yescharacteristic, complemented
154#16837475C2211yescharacteristic, complemented
155#16837473C2211yescharacteristic, complemented
156#16837471C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837443C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837407C2211yescharacteristic, complemented
164#16837405C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837405C2211yescharacteristic, complemented
168#16837405C2211yescharacteristic, complemented
169#16837404C2211yescharacteristic, complemented
170#16837403C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837401C2211yescharacteristic, complemented
173#16837401C2211yescharacteristic, complemented
174#16837400C2211yescharacteristic
175#16837400C2211yescharacteristic, complemented
176#16837399C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic
180#16837395C2211yescharacteristic
181#16837395C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837364C2211yescharacteristic, complemented
187#16837359C2211yescharacteristic, 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—24no—
204#14273772—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745685C2311yescharacteristic
209C2×#11745685C2311yescharacteristic
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687C2311yescharacteristic
213C2×#11745687C2311yescharacteristic
214#41×D59—24no—
215#41×D59—42no—
216C2×Q8×D59C2311yescharacteristic
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×C22⋊D59—21no—
220C22×C22⋊D59—21no—
221C22×C22⋊D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59C2311yescharacteristic
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C22×C4×D59—21no—
229C22×C4×D59C2311yescharacteristic
230#14273759—42no—
231#14273756—24no—
232C2×Dic236C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745672C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745670C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241SD16×D59—42no—
242#14273733—42no—
243C2×#11745664C2311yescharacteristic
244C2×#11745664C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C2×#11745659C2311yescharacteristic
250M16×D59—42no—
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273726—21no—
255#14273726C2311yescharacteristic
256#14273725—21no—
257#14273724C2311yescharacteristic
258#14273723—21no—
259#14273723—21no—
260#14273723C2311yescharacteristic
261#14273722—21no—
262#14273722—21no—
263#14273722—21no—
264#14273722—21no—
265#14273722—21no—
266#14273721—21no—
267#14273720—21no—
268#14273720—21no—
269#14273719C2311yescharacteristic
270#14273718—21no—
271#14273718C2311yescharacteristic
272#14273717—21no—
273#14273717—21no—
274#14273717—21no—
275#14273717—21no—
276#14273717—21no—
277#14273716—21no—
278#14273716C2311yescharacteristic
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712D411yescharacteristic
286#14273711—21no—
287#14273710—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709D411yescharacteristic
291#14273708—21no—
292#14273707C2311yescharacteristic
293#14273707C2311yescharacteristic
294#14273706—21no—
295#14273706C2311yescharacteristic
296#14273706C2311yescharacteristic
297#14273705—21no—
298#14273705—21no—
299#14273705—21no—
300#14273705—21no—
301#14273705—21no—
302#14273705D411yescharacteristic
303#14273704—21no—
304#14273704—21no—
305#14273704D411yescharacteristic
306#14273703—21no—
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic
310#14273702—21no—
311#14273702C2311yescharacteristic
312#14273702C2311yescharacteristic
313#14273701—21no—
314#14273701C2311yescharacteristic
315#14273701C2311yescharacteristic
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273700—21no—
322#14273700—21no—
323#14273700—21no—
324#14273700—21no—
325#14273700—21no—
326#14273700D411yescharacteristic
327#14273699—21no—
328#14273699—21no—
329#14273699—21no—
330#14273699—21no—
331#14273699D411yescharacteristic
332#14273698C2311yescharacteristic
333#14273697—21no—
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697D411yescharacteristic
338#14273696—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695D411yescharacteristic
342Q8×Dic59—21no—
343Q8×Dic59C2311yescharacteristic
344C4×Dic118—21no—
345C4×Dic118C2311yescharacteristic
346C4×Dic118C2311yescharacteristic
347#14273692—21no—
348#14273692—21no—
349#14273692—21no—
350#14273692C2311yescharacteristic
351#14273692C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59C2311yescharacteristic
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⋊D59C2311yescharacteristic
362C4×C22⋊D59C2311yescharacteristic
363(C22⋊D59)⋊C4—21no—
364(C22⋊D59)⋊C4—21no—
365(C22⋊D59)⋊C4—21no—
366#14273686—21no—
367#14273686C2311yescharacteristic
368#14273685—21no—
369#14273685—21no—
370#14273685—21no—
371#14273685C2311yescharacteristic
372#14273685C2311yescharacteristic
373#14273685C2311yescharacteristic
374#14273685C2311yescharacteristic
375#14273685C2311yescharacteristic
376#14273684—21no—
377#14273684—21no—
378#14273684C2311yescharacteristic
379#14273683—21no—
380#14273683—21no—
381#14273683—21no—
382C2×C4⋊Dic59C2311yescharacteristic
383C2×Dic59⋊C4—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59C2311yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×(C2×D59)⋊C4—21no—
389C2×(C2×D59)⋊C4—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C2×C4×Dic59—21no—
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
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#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
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×C59C2311yescharacteristic
445C22×D4×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×SD16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#125×C59—21no—
453#124×C59C2311yescharacteristic
454#123×C59—21no—
455C22⋊Q8×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#120×C59—21no—
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C2×C4⋊C4×C59C2311yescharacteristic
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C22⋊C4×C59—21no—
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#107×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×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—
494C2×Q8×C59—21no—
495C2×Q8×C59C2411yescharacteristic
496C2×Q8×C59C2411yescharacteristic
497C2×D4×C59—22no—
498C2×D4×C59—21no—
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59—41no—
502C2×D4×C59C2×D411yescharacteristic
503C2×D4×C59C2411yescharacteristic
504C2×D4×C59C2411yescharacteristic
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59—21no—
508C22×C4×C59—21no—
509C22×C4×C59C2411yescharacteristic
510C22×C4×C59C2411yescharacteristic
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
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—44no—
524C2×C22⋊D59—44no—
525C2×C22⋊D59—82no—
526C2×C22⋊D59C2×D411yescharacteristic
527C2×C22⋊D59C2×D411yescharacteristic
528C2×C22⋊D59C2×D411yescharacteristic
529C2×C22⋊D59C2×D411yescharacteristic
530C22×Dic59—21no—
531C22×Dic59—21no—
532C22×Dic59—21no—
533C22×Dic59—21no—
534C22×Dic59C2×D411yescharacteristic
535#11745689—22no—
536#11745689—22no—
537Q8×D59—22no—
538Q8×D59—22no—
539Q8×D59—22no—
540Q8×D59—41no—
541#11745687—22no—
542#11745687—22no—
543#11745687—41no—
544#11745687—44no—
545#11745687—44no—
546#11745687#4114yes—
547D4×D59—22no—
548D4×D59—22no—
549D4×D59—22no—
550D4×D59—22no—
551D4×D59—41no—
552D4×D59—41no—
553D4×D59—44no—
554D4×D59—44no—
555D4×D59—82no—
556#11745685—22no—
557#11745685—22no—
558#11745685—22no—
559#11745685—22no—
560#11745685—41no—
561#11745685—41no—
562#11745685—44no—
563C2×D236—21no—
564C2×D236—21no—
565C2×D236—21no—
566C2×D236—21no—
567C2×D236—21no—
568C2×D236—82no—
569C2×D236C2×D411yescharacteristic
570C2×D236C2×D411yescharacteristic
571C2×D236C2411yescharacteristic
572C2×D236C2411yescharacteristic
573C2×C4×D59—22no—
574C2×C4×D59—22no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—44no—
584C2×C4×D59C2×D411yescharacteristic
585C2×C4×D59C2×D411yescharacteristic
586C2×C4×D59C2411yescharacteristic
587C2×C4×D59C2411yescharacteristic
588C2×C4×D59C2411yescharacteristic
589C2×Dic118—21no—
590C2×Dic118—21no—
591C2×Dic118—21no—
592C2×Dic118C2×D411yescharacteristic
593C2×Dic118C2411yescharacteristic
594C2×Dic118C2411yescharacteristic
595Q16×C59—41no—
596SD16×C59—22no—
597SD16×C59—41no—
598M16×C59—41no—
599C2×C8×C59—41no—
600C2×C8×C59C2411yescharacteristic
601C2×C8×C59C2411yescharacteristic
602C2×C8×C59C2411yescharacteristic
603C2×C8×C59C2411yescharacteristic
604C4⋊C4×C59—21no—
605C4⋊C4×C59—21no—
606C4⋊C4×C59—21no—
607C4⋊C4×C59—21no—
608C4⋊C4×C59—21no—
609C4⋊C4×C59—21no—
610C4⋊C4×C59—21no—
611C4⋊C4×C59C2×D411yescharacteristic
612C4⋊C4×C59C2411yescharacteristic
613C4⋊C4×C59C2411yescharacteristic
614C4⋊C4×C59C2411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C22⋊C4×C59—21no—
617C22⋊C4×C59—21no—
618C22⋊C4×C59—21no—
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59C2×D411yescharacteristic
624C22⋊C4×C59C2×D411yescharacteristic
625C42×C59—21no—
626C42×C59C2411yescharacteristic
627C22⋊Dic59—21no—
628C22⋊Dic59—21no—
629C22⋊Dic59—21no—
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59C2×D411yescharacteristic
633C22⋊Dic59C2×D411yescharacteristic
634#11745672—22no—
635#11745672—41no—
636#11745671—41no—
637#11745671—41no—
638#11745670—22no—
639#11745670—41no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4—21no—
654(C2×D59)⋊C4—21no—
655(C2×D59)⋊C4—21no—
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659(C2×D59)⋊C4C2×D411yescharacteristic
660(C2×D59)⋊C4C2×D411yescharacteristic
661(C2×D59)⋊C4C2×D411yescharacteristic
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59—21no—
665C4⋊Dic59—21no—
666C4⋊Dic59—21no—
667C4⋊Dic59C2×D411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669C4⋊Dic59C2411yescharacteristic
670C4⋊Dic59C2411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4—21no—
677Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690Dic59⋊C4C2×D411yescharacteristic
691Dic59⋊C4C2×D411yescharacteristic
692C4×Dic59—21no—
693C4×Dic59—21no—
694C4×Dic59—21no—
695C4×Dic59—21no—
696C4×Dic59—21no—
697C4×Dic59—21no—
698C4×Dic59—21no—
699C4×Dic59—21no—
700C4×Dic59—21no—
701C4×Dic59—21no—
702C4×Dic59—21no—
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705#11745664—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710Dic236—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717#11745659—41no—
718C8×D59—22no—
719C8×D59—22no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—42no—
724C23×C59—81no—
725C23×C59—81no—
726C23×C59C22×D411yescharacteristic
727C23×C59C22×D411yescharacteristic
728C22×D59—22no—
729C22×D59—21no—
730C22×D59—21no—
731C22×D59—41no—
732C22×D59—41no—
733C22×D59—42no—
734C22×D59—42no—
735C22×D59—42no—
736C22×D59—42no—
737C22×D59—81no—
738C22×D59—81no—
739C22×D59—81no—
740C22×D59—81no—
741C22×D59—81no—
742C22×D59C22×D411yescharacteristic
743C22×D59C22×D411yescharacteristic
744C22×D59C22×D411yescharacteristic
745Q8×C59—21no—
746Q8×C59—21no—
747Q8×C59—21no—
748Q8×C59—21no—
749Q8×C59—81no—
750D4×C59—21no—
751D4×C59—21no—
752D4×C59—21no—
753D4×C59—41no—
754D4×C59—42no—
755D4×C59—42no—
756D4×C59—81no—
757D4×C59C2×#4112yes—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—42no—
769C2×C4×C59—81no—
770C2×C4×C59—81no—
771C2×C4×C59—81no—
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C22×D411yescharacteristic
776C2×C4×C59C2511yescharacteristic
777C22⋊D59—22no—
778C22⋊D59—24no—
779C22⋊D59—22no—
780C22⋊D59—41no—
781C22⋊D59—41no—
782C22⋊D59—42no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—42no—
786C22⋊D59—42no—
787C22⋊D59—42no—
788C22⋊D59—42no—
789C22⋊D59—81no—
790C22⋊D59—81no—
791C22⋊D59—81no—
792C22⋊D59—81no—
793C2×Dic59—21no—
794C2×Dic59—22no—
795C2×Dic59—24no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—42no—
802C2×Dic59—42no—
803C2×Dic59—81no—
804C2×Dic59C22×D411yescharacteristic
805C2×Dic59C22×D411yescharacteristic
806C2×Dic59C22×D411yescharacteristic
807C2×Dic59C22×D411yescharacteristic
808C2×Dic59C22×D411yescharacteristic
809D236—22no—
810D236—21no—
811D236—21no—
812D236—21no—
813D236—21no—
814D236—41no—
815D236—42no—
816D236—42no—
817D236—81no—
818D236—81no—
819D236—81no—
820C4×D59—22no—
821C4×D59—21no—
822C4×D59—21no—
823C4×D59—21no—
824C4×D59—21no—
825C4×D59—22no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—42no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59—81no—
834C4×D59C2×#4112yes—
835C4×D59H(5,𝔽2)12yes—
836Dic118—21no—
837Dic118—22no—
838Dic118—21no—
839Dic118—21no—
840Dic118—42no—
841Dic118—42no—
842Dic118—81no—
843Dic118C2×#4112yes—
844C8×C59—21no—
845C8×C59—21no—
846C8×C59—21no—
847C8×C59—21no—
848C59⋊C8—21no—
849C59⋊C8—21no—
850C59⋊C8—21no—
851C59⋊C8—21no—
852#61180—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—22no—
858C22×C59—21no—
859C22×C59—21no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59—41no—
863C22×C59—41no—
864C22×C59—41no—
865C22×C59—162no—
866C22×C59C23×D411yescharacteristic
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—21no—
872C2×D59—21no—
873C2×D59—21no—
874C2×D59—21no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—82no—
882C2×D59—84no—
883C2×D59—162no—
884C2×D59—162no—
885C2×D59#54612yes—
886C4×C59—21no—
887C4×C59—21no—
888C4×C59—21no—
889C4×C59—21no—
890C4×C59—41no—
891C4×C59—41no—
892C4×C59—41no—
893C4×C59—41no—
894C4×C59—41no—
895C4×C59—41no—
896C4×C59C22×#4111yescharacteristic
897C4×C59C2×H(5,𝔽2)11yescharacteristic
898Dic59—21no—
899Dic59—21no—
900Dic59—21no—
901Dic59—22no—
902Dic59—21no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59—41no—
908Dic59#54612yes—
909#3495—591no—
910#3488—591no—
911#3333—591no—
912#3333—591no—
913#3327—591no—
914#3327—591no—
915#3324—591no—
916#3324—591no—
917#3323—591no—
918#3323—591no—
919#3317—591no—
920#3317—591no—
921#3314—591no—
922#3314D5911yescharacteristic, complemented
923#3313—591no—
924#3313—591no—
925#3310—591no—
926#3310—591no—
927#3136—591no—
928#3098—591no—
929#3094—591no—
930#3083—591no—
931#3063—591no—
932C2×#468—591no—
933#3043—591no—
934#3009—591no—
935#3007—591no—
936#2947—591no—
937#2930—591no—
938#2897—591no—
939#2896—591no—
940C2×C59—42no—
941C2×C59—41no—
942C2×C59—41no—
943C2×C59—81no—
944C2×C59C2×#54611yescharacteristic
945C2×C59#358511yescharacteristic
946C2×C59#358611yescharacteristic
947D59—22no—
948D59—41no—
949D59—41no—
950D59—81no—
951D59—81no—
952C2×H(5,𝔽2)—591no—
953C22×#41—591no—
954C2×#137—591no—
955C2×#137—591no—
956C22×SD16—591no—
957C2×#131—591no—
958C22×M16—591no—
959#556—591no—
960#556—591no—
961#554—591no—
962#554C2×D5911yescharacteristic, complemented
963#552—591no—
964#552—591no—
965#552—591no—
966#552—591no—
967#552—1181no—
968#552—1181no—
969#551—1181no—
970#551—1181no—
971#550—591no—
972#550—591no—
973#548—591no—
974#548—591no—
975#546—591no—
976#546—1181no—
977#546—1181no—
978#546C2×D5911yescharacteristic
979D42—591no—
980D42—591no—
981D42—1181no—
982D42—1181no—
983#544—591no—
984#542—1181no—
985#541—1181no—
986#537—591no—
987#537—1181no—
988#536—591no—
989#535—591no—
990#535—1181no—
991#533—1181no—
992#529—1181no—
993#525—591no—
994#525—1181no—
995C2×C22⋊Q8—591no—
996C2×#121—591no—
997C2×#121—1181no—
998#520—591no—
999#520—591no—
1000#519—591no—
1001C2×#117—591no—
1002#490—591no—
1003#490—591no—
1004#489—591no—
1005#489C2×D5911yescharacteristic, complemented
1006#488—591no—
1007#488—591no—
1008#486—591no—
1009#486—591no—
1010#485—591no—
1011#485—591no—
1012#484—591no—
1013#484C2×D5911yescharacteristic, complemented
1014#482—591no—
1015#482—591no—
1016#482—591no—
1017#482—591no—
1018#482—591no—
1019#482—591no—
1020#481—591no—
1021#481—591no—
1022#480—591no—
1023#480—591no—
1024#480—591no—
1025#480C2×D5911yescharacteristic, complemented
1026#479—591no—
1027#479—591no—
1028#478—591no—
1029#478—591no—
1030#477—591no—
1031#477—591no—
1032#474—591no—
1033#474C2×D5911yescharacteristic, complemented
1034#470—591no—
1035#470—591no—
1036#468—591no—
1037#468—591no—
1038#468—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#468—591no—
1043#468—591no—
1044#468—591no—
1045#468C2×D5911yescharacteristic, complemented
1046#467—591no—
1047#467C2×D5911yescharacteristic, complemented
1048#465—591no—
1049#465—591no—
1050#464—591no—
1051#464—591no—
1052#464—591no—
1053#464C2×D5911yescharacteristic, complemented
1054#460—591no—
1055#460—591no—
1056#460—591no—
1057#460—591no—
1058#452—591no—
1059#452—591no—
1060#452—591no—
1061#452—591no—
1062#452—591no—
1063#452—591no—
1064#452—591no—
1065#452C2×D5911yescharacteristic, complemented
1066#451—591no—
1067#451—591no—
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450—591no—
1073#450C2×D5911yescharacteristic, complemented
1074#441—591no—
1075#441—591no—
1076#440—591no—
1077#440C2×D5911yescharacteristic, complemented
1078C4×Q16—591no—
1079C4×Q16—591no—
1080C4×SD16—591no—
1081C4×SD16—591no—
1082#436—591no—
1083#436—591no—
1084#436—591no—
1085#436—591no—
1086#435—591no—
1087#435—591no—
1088#435—591no—
1089#435C2×D5911yescharacteristic, complemented
1090#428—591no—
1091#428—591no—
1092C2×#107—591no—
1093#424—591no—
1094#419—591no—
1095#419—591no—
1096#418—591no—
1097#418—591no—
1098#418—591no—
1099#418—591no—
1100#418—591no—
1101#418—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417—591no—
1106#417—591no—
1107#417—591no—
1108#417—591no—
1109#417C2×D5911yescharacteristic, complemented
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416—591no—
1114#416—591no—
1115#416—591no—
1116C2×#103—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119C2×#102C2×D5911yescharacteristic, complemented
1120#408—591no—
1121#407—591no—
1122#405—591no—
1123C59#6118011yescharacteristic, complemented, Sylow
1124H(5,𝔽2)—1184no—
1125H(5,𝔽2)—2362no—
1126C2×#41—591no—
1127C2×#41—591no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—591no—
1132C2×#41—1181no—
1133C2×#41—1181no—
1134C2×#41—1181no—
1135C2×#41—1184no—
1136C2×#41—2362no—
1137C2×#41C22×D5911yescharacteristic
1138C22×Q8—591no—
1139C22×Q8—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—1181no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C22×D4—1181no—
1150C22×D4C22×D5911yescharacteristic
1151C23×C4—591no—
1152C23×C4—1181no—
1153#137—1184no—
1154#137—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16—591no—
1158C2×Q16C22×D5911yescharacteristic
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×SD16—591no—
1165C2×SD16—2362no—
1166C2×SD16C22×D5911yescharacteristic
1167C2×SD16C22×D5911yescharacteristic
1168#131—2362no—
1169C2×M16—591no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—591no—
1175C2×M16—591no—
1176C2×M16—2362no—
1177C2×M16C22×D5911yescharacteristic
1178C22×C8—591no—
1179C22×C8—591no—
1180C22×C8—591no—
1181C22×C8C22×D5911yescharacteristic
1182C4⋊Q8—591no—
1183C4⋊Q8—1181no—
1184C4⋊Q8—1181no—
1185C4⋊Q8C22×D5911yescharacteristic
1186#127—591no—
1187#127—591no—
1188#127—1181no—
1189#127—1181no—
1190#126—1181no—
1191#126—1181no—
1192#126—1181no—
1193#126—1181no—
1194#126—1181no—
1195#126—1181no—
1196#126—1181no—
1197#126—1181no—
1198#125—21no—
1199#125—591no—
1200#125—591no—
1201#125—1181no—
1202#125—1181no—
1203#125—1181no—
1204#125—1181no—
1205#125—1181no—
1206#125—1181no—
1207#124—591no—
1208#124—1181no—
1209#124—1181no—
1210#124—1181no—
1211#124—1181no—
1212#124—1181no—
1213#124C22×D5911yescharacteristic
1214#123—21no—
1215#123—591no—
1216#123—591no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224C22⋊Q8—21no—
1225C22⋊Q8—21no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—591no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8C22×D5911yescharacteristic
1245C22⋊Q8C22×D5911yescharacteristic
1246C22⋊Q8C22×D5911yescharacteristic
1247#121—21no—
1248#121—591no—
1249#121—591no—
1250#121—591no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—1181no—
1256#121—1181no—
1257#121—1181no—
1258#121—1181no—
1259#121—1181no—
1260#121—1181no—
1261#121—1181no—
1262#121—1181no—
1263#121—1181no—
1264#121—1181no—
1265#121—1181no—
1266#121—1181no—
1267#121—1181no—
1268#121—1181no—
1269#121—1181no—
1270#121—1181no—
1271#121C22×D5911yescharacteristic
1272#120—21no—
1273#120—591no—
1274#120—591no—
1275#120—1181no—
1276#120—1181no—
1277#120—1181no—
1278#120—1181no—
1279#120—1181no—
1280#120—1181no—
1281#120—1181no—
1282C4×Q8—591no—
1283C4×Q8—591no—
1284C4×Q8—591no—
1285C4×Q8—591no—
1286C4×Q8—591no—
1287C4×Q8—1181no—
1288C4×Q8—1181no—
1289C4×Q8—1181no—
1290C4×Q8—1181no—
1291C4×Q8—1181no—
1292C4×Q8C22×D5911yescharacteristic
1293C4×D4—21no—
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—1181no—
1299C4×D4—1181no—
1300C4×D4—1181no—
1301C4×D4—1181no—
1302C4×D4—1181no—
1303C4×D4—1181no—
1304C4×D4—1181no—
1305C4×D4—1181no—
1306C4×D4—1181no—
1307C4×D4—1181no—
1308C4×D4C22×D5911yescharacteristic
1309C4×D4C22×D5911yescharacteristic
1310#117—591no—
1311#117—591no—
1312#117—591no—
1313#117—591no—
1314#117—591no—
1315#117—591no—
1316#117—591no—
1317#117—1181no—
1318#117—1181no—
1319#117—1181no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117—1181no—
1324#117—1181no—
1325#117—1181no—
1326C2×C4⋊C4—591no—
1327C2×C4⋊C4—591no—
1328C2×C4⋊C4—591no—
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—1181no—
1331C2×C4⋊C4—1181no—
1332C2×C4⋊C4C22×D5911yescharacteristic
1333C2×C4⋊C4C22×D5911yescharacteristic
1334C2×C22⋊C4—21no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C22⋊C4—1181no—
1339C2×C42—1181no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107—591no—
1345#107C22×D5911yescharacteristic
1346#107C22×D5911yescharacteristic
1347#107C22×D5911yescharacteristic
1348#106—591no—
1349#106—591no—
1350#106—591no—
1351#106—591no—
1352C4⋊C8—591no—
1353C4⋊C8—591no—
1354C4⋊C8—591no—
1355C4⋊C8C22×D5911yescharacteristic
1356#103—591no—
1357#103—591no—
1358#103—591no—
1359#103—591no—
1360#103—591no—
1361#103—591no—
1362#103—591no—
1363#103—591no—
1364#103—591no—
1365#103—591no—
1366#103—591no—
1367#103—591no—
1368#103C22×D5911yescharacteristic
1369#103C22×D5911yescharacteristic
1370#103C22×D5911yescharacteristic
1371#103C22×D5911yescharacteristic
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102—591no—
1378#102—591no—
1379#102—591no—
1380#102—591no—
1381#102—591no—
1382#102—591no—
1383#102—591no—
1384#102—591no—
1385#102—591no—
1386#102—591no—
1387#102—591no—
1388#102—591no—
1389#102—591no—
1390#102C22×D5911yescharacteristic
1391#102C22×D5911yescharacteristic
1392#102C22×D5911yescharacteristic
1393#102C22×D5911yescharacteristic
1394#102C22×D5911yescharacteristic
1395#102C22×D5911yescharacteristic
1396C22⋊C8—591no—
1397C22⋊C8—591no—
1398C22⋊C8—591no—
1399C22⋊C8—591no—
1400C22⋊C8—591no—
1401C22⋊C8—591no—
1402C22⋊C8C22×D5911yescharacteristic
1403C22⋊C8C22×D5911yescharacteristic
1404#97—591no—
1405#97C22×D5911yescharacteristic
1406C4×C8—591no—
1407C4×C8—591no—
1408C24—21no—
1409C24—591no—
1410C24—1181no—
1411C24—1181no—
1412C24—1181no—
1413#41—22no—
1414#41—41no—
1415#41—594no—
1416#41—1182no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—2361no—
1425#41—2361no—
1426#41—2364no—
1427#41—2364no—
1428#41—2361no—
1429#41—2364no—
1430C2×Q8—21no—
1431C2×Q8—591no—
1432C2×Q8—591no—
1433C2×Q8—591no—
1434C2×Q8—1181no—
1435C2×Q8—1181no—
1436C2×Q8—1181no—
1437C2×Q8—1182no—
1438C2×Q8—1182no—
1439C2×Q8—1182no—
1440C2×Q8—2361no—
1441C2×Q8C23×D5911yescharacteristic
1442C2×Q8C23×D5911yescharacteristic
1443C2×D4—22no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—41no—
1448C2×D4—591no—
1449C2×D4—591no—
1450C2×D4—591no—
1451C2×D4—591no—
1452C2×D4—591no—
1453C2×D4—591no—
1454C2×D4—591no—
1455C2×D4—591no—
1456C2×D4—1181no—
1457C2×D4—1181no—
1458C2×D4—1181no—
1459C2×D4—1182no—
1460C2×D4—1182no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1181no—
1466C2×D4—1181no—
1467C2×D4—1182no—
1468C2×D4—1182no—
1469C2×D4—1181no—
1470C2×D4—1181no—
1471C2×D4—1181no—
1472C2×D4—1181no—
1473C2×D4—1181no—
1474C2×D4—1181no—
1475C2×D4—1181no—
1476C2×D4—1181no—
1477C2×D4—4722no—
1478C2×D4—4722no—
1479C2×D4—4722no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2364no—
1483C2×D4—2364no—
1484C2×D4—2364no—
1485C2×D4—2364no—
1486C2×D4D4×D5911yescharacteristic
1487C2×D4C23×D5911yescharacteristic
1488C2×D4C23×D5911yescharacteristic
1489C22×C4—21no—
1490C22×C4—21no—
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—591no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—1182no—
1500C22×C4—1182no—
1501C22×C4—1181no—
1502C22×C4—1181no—
1503C22×C4—1181no—
1504C22×C4—1181no—
1505C22×C4—1181no—
1506C22×C4—1181no—
1507C22×C4—1181no—
1508C22×C4—1181no—
1509C22×C4—1181no—
1510C22×C4—1181no—
1511C22×C4—1181no—
1512C22×C4—1181no—
1513C22×C4—2364no—
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5911yescharacteristic
1516Q16—41no—
1517Q16—1182no—
1518Q16—1182no—
1519Q16—2361no—
1520SD16—22no—
1521SD16—41no—
1522SD16—1182no—
1523SD16—2361no—
1524SD16—2361no—
1525SD16—2361no—
1526SD16—2361no—
1527SD16—2361no—
1528M16—41no—
1529M16—1182no—
1530M16—1182no—
1531M16—2361no—
1532M16—2361no—
1533M16—2361no—
1534M16—2361no—
1535M16—2361no—
1536C2×C8—41no—
1537C2×C8—591no—
1538C2×C8—591no—
1539C2×C8—591no—
1540C2×C8—591no—
1541C2×C8—1182no—
1542C2×C8—1182no—
1543C2×C8—2361no—
1544C2×C8C23×D5911yescharacteristic
1545C2×C8C23×D5911yescharacteristic
1546C2×C8C23×D5911yescharacteristic
1547C2×C8C23×D5911yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—21no—
1553C4⋊C4—21no—
1554C4⋊C4—21no—
1555C4⋊C4—591no—
1556C4⋊C4—591no—
1557C4⋊C4—591no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—1181no—
1565C4⋊C4—1181no—
1566C4⋊C4—1181no—
1567C4⋊C4—1181no—
1568C4⋊C4—1181no—
1569C4⋊C4—1181no—
1570C4⋊C4—1181no—
1571C4⋊C4—1181no—
1572C4⋊C4—1181no—
1573C4⋊C4—1181no—
1574C4⋊C4—1181no—
1575C4⋊C4—1181no—
1576C4⋊C4—1181no—
1577C4⋊C4—1181no—
1578C4⋊C4—1181no—
1579C4⋊C4—1181no—
1580C4⋊C4—1181no—
1581C4⋊C4—1181no—
1582C4⋊C4—1181no—
1583C4⋊C4—1181no—
1584C4⋊C4—1181no—
1585C4⋊C4D4×D5911yescharacteristic
1586C4⋊C4C23×D5911yescharacteristic
1587C4⋊C4C23×D5911yescharacteristic
1588C4⋊C4C23×D5911yescharacteristic
1589C4⋊C4C23×D5911yescharacteristic
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—591no—
1603C22⋊C4—591no—
1604C22⋊C4—591no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4—1181no—
1609C22⋊C4—1181no—
1610C22⋊C4—1181no—
1611C22⋊C4—1181no—
1612C22⋊C4—1181no—
1613C22⋊C4—1181no—
1614C22⋊C4—1181no—
1615C22⋊C4—1181no—
1616C22⋊C4—1181no—
1617C22⋊C4—1181no—
1618C22⋊C4—1181no—
1619C22⋊C4—1181no—
1620C22⋊C4—1181no—
1621C22⋊C4—1181no—
1622C22⋊C4—1181no—
1623C22⋊C4—1181no—
1624C22⋊C4—1181no—
1625C22⋊C4—1181no—
1626C22⋊C4D4×D5911yescharacteristic
1627C22⋊C4D4×D5911yescharacteristic
1628C42—21no—
1629C42—591no—
1630C42—1181no—
1631C42—1181no—
1632C42—1181no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42—1181no—
1641C42C23×D5911yescharacteristic
1642C23—21no—
1643C23—21no—
1644C23—42no—
1645C23—81no—
1646C23—81no—
1647C23—591no—
1648C23—591no—
1649C23—591no—
1650C23—1182no—
1651C23—1181no—
1652C23—1181no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—4721no—
1657C23—4721no—
1658C23—2361no—
1659C23—2361no—
1660C23—2362no—
1661C23—2362no—
1662C23—2362no—
1663C23—2362no—
1664C23C2×D4×D5911yescharacteristic
1665C23C2×D4×D5911yescharacteristic
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—81no—
1671Q8—592no—
1672Q8—1182no—
1673Q8—1181no—
1674Q8—1181no—
1675Q8—1181no—
1676Q8—4721no—
1677Q8—2362no—
1678Q8—2362no—
1679D4—21no—
1680D4—21no—
1681D4—21no—
1682D4—41no—
1683D4—42no—
1684D4—42no—
1685D4—81no—
1686D4—1182no—
1687D4—1182no—
1688D4—1182no—
1689D4—1184no—
1690D4—1181no—
1691D4—1181no—
1692D4—1181no—
1693D4—1181no—
1694D4—4721no—
1695D4—4721no—
1696D4—4721no—
1697D4—4721no—
1698D4—4721no—
1699D4—4721no—
1700D4—4721no—
1701D4—2361no—
1702D4—2362no—
1703D4—2362no—
1704D4—2362no—
1705D4—2361no—
1706D4—2361no—
1707D4—2362no—
1708D4—2362no—
1709D4—2362no—
1710D4—2362no—
1711D4—2362no—
1712D4—2362no—
1713D4#41×D5912yes—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—42no—
1725C2×C4—81no—
1726C2×C4—81no—
1727C2×C4—81no—
1728C2×C4—591no—
1729C2×C4—592no—
1730C2×C4—592no—
1731C2×C4—591no—
1732C2×C4—591no—
1733C2×C4—591no—
1734C2×C4—591no—
1735C2×C4—1182no—
1736C2×C4—1182no—
1737C2×C4—1182no—
1738C2×C4—1184no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—1181no—
1749C2×C4—4721no—
1750C2×C4—4721no—
1751C2×C4—4721no—
1752C2×C4—4721no—
1753C2×C4—2362no—
1754C2×C4—2362no—
1755C2×C4—2362no—
1756C2×C4—2362no—
1757C2×C4—2362no—
1758C2×C4—2362no—
1759C2×C4—2362no—
1760C2×C4C2×D4×D5911yescharacteristic
1761C2×C4C2×D4×D5911yescharacteristic
1762C2×C4C2×D4×D5911yescharacteristic
1763C2×C4C2×D4×D5911yescharacteristic
1764C2×C4C24×D5911yescharacteristic
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—21no—
1769C8—1181no—
1770C8—1181no—
1771C8—1181no—
1772C8—1181no—
1773C22—21no—
1774C22—21no—
1775C22—22no—
1776C22—21no—
1777C22—21no—
1778C22—21no—
1779C22—21no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—162no—
1786C22—592no—
1787C22—1181no—
1788C22—1181no—
1789C22—1181no—
1790C22—1181no—
1791C22—1181no—
1792C22—1181no—
1793C22—1181no—
1794C22—1181no—
1795C22—9442no—
1796C22—9442no—
1797C22—4722no—
1798C22—4724no—
1799C22—2361no—
1800C22—2361no—
1801C22—2361no—
1802C22—2361no—
1803C22—2361no—
1804C22—2361no—
1805C22C22×D4×D5911yescharacteristic
1806C4—21no—
1807C4—21no—
1808C4—21no—
1809C4—21no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—41no—
1815C4—41no—
1816C4—592no—
1817C4—1181no—
1818C4—1181no—
1819C4—1182no—
1820C4—1181no—
1821C4—1181no—
1822C4—2361no—
1823C4—2361no—
1824C4—2361no—
1825C4—2361no—
1826C4—2361no—
1827C4C2×#41×D5911yescharacteristic
1828C4H(5,𝔽2)×D5911yescharacteristic
1829C2—41no—
1830C2—41no—
1831C2—42no—
1832C2—81no—
1833C2—1182no—
1834C2—4721no—
1835C2—4721no—
1836C2—2361no—
1837C2—2361no—
1838C2#546×D5911yescharacteristic
1839C2#2143887111yescharacteristic
1840C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3314C2
socleC22×C59C23×D4
prime radical#21437759C2
hypercenter#3314D59
hypocenterC59#61180
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. #21437844C2semidirect
3. #21436432C2semidirect
4. #21436428C2semidirect
5. #21436371C2semidirect
6. #21436367C2semidirect
7. #21436324C2semidirect
8. #21436320C2semidirect
9. #21436312C2semidirect
10. #21436305C2semidirect
11. #21436224C2semidirect
12. #21436217C2semidirect
13. #21436178C2semidirect
14. #21436168C2semidirect
15. #21436161C2semidirect
16. #21436122C2semidirect
17. #21436113C2semidirect
18. #21434447C2semidirect
19. #21434075C2semidirect
20. #21434031C2semidirect
21. #21433942C2semidirect
22. #21433786C2semidirect
23. #468×D59C2semidirect
24. #21433615C2semidirect
25. #21433368C2semidirect
26. #21433353C2semidirect
27. #21432936C2semidirect
28. #21432794C2semidirect
29. #21432617C2semidirect
30. #21432612C2semidirect
31. C59×#3314C2semidirect
34. C2×#14273759C22semidirect
36. C2×SD16×D59C22semidirect
37. C2×#14273733C22semidirect
38. C2×M16×D59C22semidirect
39. #16838126C22semidirect
40. #16838123C22semidirect
41. #16838107C22semidirect
42. #16838094C22semidirect
43. #16838093C22semidirect
44. #16838092C22semidirect
45. #16838087C22semidirect
61. #16838029C22semidirect
66. #16837975C22semidirect
73. C22⋊Q8×D59C22semidirect
76. #16837883C22semidirect
78. #16837878C22semidirect
79. C2×#14273685C22semidirect
80. #16837767C22semidirect
81. #16837765C22semidirect
82. #16837763C22semidirect
83. #16837758C22semidirect
84. #16837756C22semidirect
85. #16837750C22semidirect
86. #16837747C22semidirect
87. #16837741C22semidirect
88. #16837740C22semidirect
89. #16837736C22semidirect
90. #16837729C22semidirect
91. #16837729C22semidirect
92. #16837729C22semidirect
93. #16837727C22semidirect
94. #16837725C22semidirect
95. #16837725C22semidirect
96. #16837721C22semidirect
97. #16837718C22semidirect
98. #16837717C22semidirect
99. #16837715C22semidirect
100. #16837715C22semidirect
101. #16837710C22semidirect
102. #16837708C22semidirect
103. #16837704C22semidirect
104. #16837702C22semidirect
105. #16837696C22semidirect
106. #16837694C22semidirect
107. #16837680C22semidirect
108. #16837658C22semidirect
109. #16837657C22semidirect
110. #16837651C22semidirect
111. #16837650C22semidirect
112. #16837650C22semidirect
113. #16837649C22semidirect
114. #16837649C22semidirect
115. #16837648C22semidirect
116. #16837647C22semidirect
117. #16837646C22semidirect
118. #16837645C22semidirect
119. #16837642C22semidirect
120. #16837634C22semidirect
121. #16837631C22semidirect
122. #16837627C22semidirect
123. #16837626C22semidirect
124. #16837621C22semidirect
125. #16837603C22semidirect
126. #16837602C22semidirect
127. #16837601C22semidirect
128. #16837600C22semidirect
129. #16837566C22semidirect
130. #16837566C22semidirect
131. #16837565C22semidirect
132. #16837564C22semidirect
133. #16837562C22semidirect
134. #16837562C22semidirect
135. #16837561C22semidirect
136. #16837559C22semidirect
137. #16837556C22semidirect
138. #16837554C22semidirect
139. #16837554C22semidirect
140. #16837553C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837510C22semidirect
144. #16837506C22semidirect
145. #16837499C22semidirect
146. #16837496C22semidirect
147. C4×#11745672C22semidirect
148. SD16×Dic59C22semidirect
149. C4×#11745670C22semidirect
150. #16837480C22semidirect
151. #16837479C22semidirect
152. #16837477C22semidirect
153. #16837477C22semidirect
154. #16837475C22semidirect
155. #16837473C22semidirect
156. #16837471C22semidirect
157. #16837443C22semidirect
158. #16837443C22semidirect
159. #107×D59C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837409C22semidirect
163. #16837407C22semidirect
164. #16837405C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837405C22semidirect
168. #16837405C22semidirect
169. #16837404C22semidirect
170. #16837403C22semidirect
171. #16837402C22semidirect
172. #16837401C22semidirect
173. #16837401C22semidirect
175. #16837400C22semidirect
176. #16837399C22semidirect
177. #16837397C22semidirect
178. #16837397C22semidirect
181. #16837395C22semidirect
182. #103×D59C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837364C22semidirect
187. #16837359C22semidirect
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
922. #3314D59semidirect
962. #554C2×D59semidirect
1005. #489C2×D59semidirect
1013. #484C2×D59semidirect
1025. #480C2×D59semidirect
1033. #474C2×D59semidirect
1045. #468C2×D59semidirect
1047. #467C2×D59semidirect
1053. #464C2×D59semidirect
1065. #452C2×D59semidirect
1073. #450C2×D59semidirect
1077. #440C2×D59semidirect
1089. #435C2×D59semidirect
1109. #417C2×D59semidirect
1119. C2×#102C2×D59semidirect
1123. C59#61180semidirect

Maximal subgroups

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

subgroupindex
#214378442
#214377592
#214364322
#214364282
#214363712
#214363672
#214363242
#214363202
#214363122
#214363052
#214362242
#214362172
#214361782
#214361682
#214361612
#214361222
#214361132
#214344472
#214340752
#214340312
#214339422
#214337862
#468×D592
#214336152
#214333682
#214333532
#214329362
#214327942
#214326172
#214326122
C59×#33142
#6118059