Finite Group Databasebeta

← #29466999

Subgroups — #29466999

Order 15104.

2102 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#21437955C211yesmaximal, characteristic, complemented
2#21437854C211yesmaximal, characteristic
3#21436199C211yesmaximal, characteristic, complemented
4#21436192C211yesmaximal, characteristic, complemented
5#21436191C211yesmaximal, characteristic, complemented
6#21436183C211yesmaximal, characteristic, complemented
7#21436178C211yesmaximal, characteristic, complemented
8#21436175C211yesmaximal, characteristic, complemented
9#21436170C211yesmaximal, characteristic, complemented
10#21436136C211yesmaximal, characteristic, complemented
11#21436135C211yesmaximal, characteristic, complemented
12#21436128C211yesmaximal, characteristic, complemented
13#21436127C211yesmaximal, characteristic, complemented
14#21436122C211yesmaximal, characteristic, complemented
15#21436119C211yesmaximal, characteristic, complemented
16#21436114C211yesmaximal, characteristic, complemented
17#21436111C211yesmaximal, characteristic, complemented
18#21434443C211yesmaximal, characteristic, complemented
19#21434077C211yesmaximal, characteristic, complemented
20#21434075C211yesmaximal, characteristic, complemented
21#21433891C211yesmaximal, characteristic, complemented
22#21433786C211yesmaximal, characteristic, complemented
23#21433784C211yesmaximal, characteristic, complemented
24#21433569C211yesmaximal, characteristic, complemented
25#21433370C211yesmaximal, characteristic, complemented
26#21433370C211yesmaximal, characteristic, complemented
27#440×D59C211yesmaximal, characteristic, complemented
28#21432810C211yesmaximal, characteristic, complemented
29#21432620C211yesmaximal, characteristic, complemented
30#21432618C211yesmaximal, characteristic, complemented
31C59×#3315C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#14273773C2211yescharacteristic
34C2×#14273759C2211yescharacteristic, complemented
35C2×#14273759C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic
37C2×#14273735C2211yescharacteristic, complemented
38C2×#14273733C2211yescharacteristic, complemented
39#16838136—21no—
40#16838129—21no—
41#16838123C2211yescharacteristic, complemented
42#16838120—21no—
43#16838120C2211yescharacteristic, complemented
44#16838119—21no—
45#16838110C2211yescharacteristic, complemented
46#16838107C2211yescharacteristic, complemented
47#16838093C2211yescharacteristic, complemented
48#16838092C2211yescharacteristic, complemented
49#16838090C2211yescharacteristic, complemented
50#16838055C2211yescharacteristic
51#16838053—21no—
52#16838044—21no—
53#16838044—21no—
54#16838043C2211yescharacteristic
55#16838043C2211yescharacteristic
56#16838040C2211yescharacteristic
57#16838040C2211yescharacteristic
58D4×D236C2211yescharacteristic
59D4×D236C2211yescharacteristic
60#16838036—21no—
61#16838000—21no—
62#16837995—21no—
63#16837982C2211yescharacteristic
64#16837982C2211yescharacteristic
65#16837975C2211yescharacteristic, complemented
66#16837975C2211yescharacteristic, complemented
67#16837963—21no—
68#16837963—21no—
69#16837958C2211yescharacteristic, complemented
70#16837953C2211yescharacteristic
71#16837949C2211yescharacteristic
72#16837935—21no—
73#16837930—21no—
74C2×#14273702—21no—
75#121×D59—21no—
76#16837883C2211yescharacteristic, complemented
77#16837882C2211yescharacteristic, complemented
78C4×Q8×D59C2211yescharacteristic, complemented
79C4×D4×D59C2211yescharacteristic
80#16837770C2211yescharacteristic, complemented
81#16837768C2211yescharacteristic, complemented
82#16837767C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837763C2211yescharacteristic, complemented
86#16837763C2211yescharacteristic, complemented
87#16837742C2211yescharacteristic, complemented
88#16837741C2211yescharacteristic, complemented
89#16837740C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837736C2211yescharacteristic, complemented
92#16837735C2211yescharacteristic, complemented
93#16837729C2211yescharacteristic, complemented
94#16837728C2211yescharacteristic, complemented
95#16837727C2211yescharacteristic, complemented
96#16837726C2211yescharacteristic, complemented
97#16837717C2211yescharacteristic, complemented
98#16837717C2211yescharacteristic, complemented
99#16837716C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837703C2211yescharacteristic, complemented
102#16837702C2211yescharacteristic, complemented
103#16837699C2211yescharacteristic, complemented
104#16837691C2211yescharacteristic, complemented
105#16837690C2211yescharacteristic, complemented
106#16837681C2211yescharacteristic, complemented
107#16837680C2211yescharacteristic, complemented
108#16837659C2211yescharacteristic, complemented
109#16837658C2211yescharacteristic, complemented
110#16837657C2211yescharacteristic, complemented
111#16837651C2211yescharacteristic, complemented
112#16837650C2211yescharacteristic, complemented
113#16837649C2211yescharacteristic, complemented
114#16837648C2211yescharacteristic, complemented
115#16837642C2211yescharacteristic, complemented
116#16837641C2211yescharacteristic, complemented
117#16837640C2211yescharacteristic, complemented
118#16837634C2211yescharacteristic, complemented
119#16837633C2211yescharacteristic, complemented
120#16837632C2211yescharacteristic, complemented
121#16837631C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837627C2211yescharacteristic, complemented
124#16837626C2211yescharacteristic, complemented
125#16837626C2211yescharacteristic, complemented
126#16837609C2211yescharacteristic, complemented
127#16837603C2211yescharacteristic, complemented
128#16837602C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837564C2211yescharacteristic, complemented
132#16837564C2211yescharacteristic, complemented
133#16837563C2211yescharacteristic, complemented
134#16837563C2211yescharacteristic, complemented
135#16837555C2211yescharacteristic, complemented
136#16837555C2211yescharacteristic, complemented
137#16837554C2211yescharacteristic, complemented
138#16837554C2211yescharacteristic, complemented
139#16837552C2211yescharacteristic, complemented
140#16837552C2211yescharacteristic, complemented
141#16837551C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837505C2211yescharacteristic, complemented
144#16837504C2211yescharacteristic, complemented
145#16837503C2211yescharacteristic, complemented
146#16837502C2211yescharacteristic, complemented
147#16837501C2211yescharacteristic, complemented
148#16837500C2211yescharacteristic, complemented
149#16837499C2211yescharacteristic, complemented
150#16837476C2211yescharacteristic, complemented
151#16837475C2211yescharacteristic, complemented
152#16837474C2211yescharacteristic, complemented
153#16837473C2211yescharacteristic, complemented
154#16837472C2211yescharacteristic, complemented
155#16837471C2211yescharacteristic, complemented
156#16837470C2211yescharacteristic, complemented
157#16837443C2211yescharacteristic, complemented
158#16837441C2211yescharacteristic, complemented
159#107×D59C2211yescharacteristic, complemented
160#16837424C2211yescharacteristic, complemented
161#16837408C2211yescharacteristic, complemented
162#16837406C2211yescharacteristic, complemented
163#16837405C2211yescharacteristic
164#16837405C2211yescharacteristic
165#16837405C2211yescharacteristic, complemented
166#16837405C2211yescharacteristic, complemented
167#16837403C2211yescharacteristic, complemented
168#16837402C2211yescharacteristic, complemented
169#16837402C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic, complemented
171#16837402C2211yescharacteristic, complemented
172#16837398C2211yescharacteristic, complemented
173#16837397C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic, complemented
175#16837397C2211yescharacteristic, complemented
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#103×D59C2211yescharacteristic, complemented
180C2×#14273649C2211yescharacteristic, complemented
181C2×#14273647C2211yescharacteristic, complemented
182#102×D59C2211yescharacteristic
183#102×D59C2211yescharacteristic, complemented
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic, complemented
186#16837367C2211yescharacteristic, complemented
187#97×D59C2211yescharacteristic, complemented
188C59×#552C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#491C2211yescharacteristic, complemented
191C59×#485C2211yescharacteristic, complemented
192C59×#484C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#467C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C59×#440C2211yescharacteristic, complemented
200C59×#435C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#416C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—24no—
205#14273773—42no—
206#14273773—42no—
207C2×#11745689C2311yescharacteristic
208C2×#11745689C2311yescharacteristic
209C2×#11745689C2311yescharacteristic
210C2×#11745689C2311yescharacteristic
211C2×#11745685—21no—
212C2×#11745685—21no—
213C2×#11745685C2311yescharacteristic
214C2×#11745685C2311yescharacteristic
215C2×Q8×D59C2311yescharacteristic
216C22×D236—21no—
217C22×D236—21no—
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C22×D236C2311yescharacteristic
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59C2311yescharacteristic
227C2×D4×D59C2311yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C22×C4×D59—21no—
230#14273759—42no—
231#14273759—42no—
232C2×#11745672C2311yescharacteristic
233C2×#11745672C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745660C2311yescharacteristic
236C2×#11745660C2311yescharacteristic
237C2×#11745670C2311yescharacteristic
238C2×#11745671C2311yescharacteristic
239C2×#11745671C2311yescharacteristic
240C2×#11745671C2311yescharacteristic
241SD16×D59—24no—
242#14273735—42no—
243#14273733—42no—
244C2×#11745664C2311yescharacteristic
245C2×#11745659C2311yescharacteristic
246C2×#11745659C2311yescharacteristic
247C2×#11745659C2311yescharacteristic
248C2×#11745659C2311yescharacteristic
249C22×C59⋊C8C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251C2×C8×D59C2311yescharacteristic
252C2×C8×D59C2311yescharacteristic
253C2×C8×D59C2311yescharacteristic
254#14273726—21no—
255#14273726—21no—
256#14273726D411yescharacteristic
257#14273726C2311yescharacteristic
258#14273726C2311yescharacteristic
259#14273724C2311yescharacteristic
260#14273723D411yescharacteristic
261#14273722—21no—
262#14273722—21no—
263#14273721—21no—
264#14273721—21no—
265#14273720—21no—
266#14273720—21no—
267#14273720—21no—
268#14273719C2311yescharacteristic
269#14273718—21no—
270#14273717—21no—
271#14273717—21no—
272#14273717—21no—
273#14273717—21no—
274#14273716C2311yescharacteristic
275#14273716C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713D411yescharacteristic
281#14273713D411yescharacteristic
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712—21no—
290#14273710—21no—
291#14273710—21no—
292#14273709—21no—
293#14273709—21no—
294#14273708—21no—
295#14273707—21no—
296#14273707C2311yescharacteristic
297#14273707C2311yescharacteristic
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273706C2311yescharacteristic
301#14273705—21no—
302#14273705—21no—
303#14273705—21no—
304#14273705—21no—
305#14273705—21no—
306#14273704—21no—
307#14273703C2311yescharacteristic
308#14273703C2311yescharacteristic
309#14273703C2311yescharacteristic
310#14273703C2311yescharacteristic
311#14273702—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702D411yescharacteristic
320#14273702C2311yescharacteristic
321#14273702C2311yescharacteristic
322#14273701—21no—
323#14273701C2311yescharacteristic
324#14273701C2311yescharacteristic
325#14273700—21no—
326#14273700—21no—
327#14273700—21no—
328#14273700—21no—
329#14273700D411yescharacteristic
330#14273700D411yescharacteristic
331#14273699—21no—
332#14273699—21no—
333#14273698D411yescharacteristic
334#14273697—21no—
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273697—21no—
340#14273695—21no—
341#14273695—21no—
342Q8×Dic59C2311yescharacteristic
343C4×Dic118—21no—
344C4×Dic118—21no—
345C4×Dic118—21no—
346C4×Dic118C2311yescharacteristic
347#14273692—21no—
348#14273692—21no—
349#14273692—21no—
350#14273692—21no—
351#14273692—21no—
352#14273692C2311yescharacteristic
353C4×D236—21no—
354C4×D236C2311yescharacteristic
355C4×D236C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357#14273689—21no—
358#14273689—21no—
359#14273689—21no—
360#14273689C2311yescharacteristic
361C4×C22⋊D59—21no—
362C4×C22⋊D59—21no—
363C4×C22⋊D59—21no—
364C4×C22⋊D59—21no—
365C4×C22⋊D59C2311yescharacteristic
366C4×C22⋊D59C2311yescharacteristic
367(C22⋊D59)⋊C4—21no—
368(C22⋊D59)⋊C4—21no—
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371#14273686C2311yescharacteristic
372#14273685—21no—
373#14273685C2311yescharacteristic
374#14273685C2311yescharacteristic
375#14273685C2311yescharacteristic
376#14273685C2311yescharacteristic
377#14273684—21no—
378#14273683—21no—
379C2×C4⋊Dic59C2311yescharacteristic
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C4⋊C4×D59C2311yescharacteristic
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C42×D59—21no—
392C42×D59C2311yescharacteristic
393#14273661C2311yescharacteristic
394#14273661C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402C4⋊(C59⋊C8)C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273651C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273651C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273649C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
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#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443#14273637C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C22×C8×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452#126×C59—21no—
453#125×C59—21no—
454#125×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457#123×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466#117×C59—21no—
467#117×C59C2311yescharacteristic
468C2×C4⋊C4×C59—21no—
469C2×C4⋊C4×C59C2311yescharacteristic
470#107×C59C2311yescharacteristic
471#107×C59C2311yescharacteristic
472#106×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474#103×C59C2311yescharacteristic
475#103×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#103×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C22⋊C8×C59C2311yescharacteristic
485C22⋊C8×C59C2311yescharacteristic
486#97×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59—21no—
491C23×D59—21no—
492#41×C59—22no—
493#41×C59—22no—
494#41×C59—41no—
495#41×C59—41no—
496C2×Q8×C59C2411yescharacteristic
497C2×Q8×C59C2411yescharacteristic
498C2×Q8×C59C2411yescharacteristic
499C2×D4×C59—21no—
500C2×D4×C59—21no—
501C2×D4×C59C2×D411yescharacteristic
502C2×D4×C59C2411yescharacteristic
503C22×C4×C59—21no—
504C22×C4×C59—21no—
505C22×C4×C59—21no—
506C22×C4×C59—21no—
507C22×C4×C59C2411yescharacteristic
508C22×C4×C59C2411yescharacteristic
509C2×C22⋊D59—21no—
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59C2×D411yescharacteristic
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C2×C22⋊D59C2×D411yescharacteristic
520C22×Dic59—21no—
521C22×Dic59—21no—
522#11745689—22no—
523#11745689—22no—
524#11745689—22no—
525#11745689—22no—
526#11745689—22no—
527#11745689—22no—
528#11745689—41no—
529#11745689—41no—
530Q8×D59—22no—
531Q8×D59—22no—
532D4×D59—22no—
533D4×D59—22no—
534D4×D59—22no—
535D4×D59—41no—
536D4×D59—41no—
537D4×D59—44no—
538D4×D59—44no—
539D4×D59—44no—
540D4×D59—44no—
541D4×D59—82no—
542D4×D59#4114yes—
543#11745685—22no—
544#11745685—22no—
545#11745685—22no—
546#11745685—22no—
547#11745685—44no—
548#11745685—44no—
549C2×D236—22no—
550C2×D236—22no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—21no—
556C2×D236—21no—
557C2×D236—21no—
558C2×D236—21no—
559C2×D236—21no—
560C2×D236—21no—
561C2×D236—41no—
562C2×D236—41no—
563C2×D236—44no—
564C2×D236—44no—
565C2×D236—82no—
566C2×D236C2×D411yescharacteristic
567C2×D236C2×D411yescharacteristic
568C2×D236C2×D411yescharacteristic
569C2×D236C2411yescharacteristic
570C2×D236C2411yescharacteristic
571C2×D236C2411yescharacteristic
572C2×C4×D59—21no—
573C2×C4×D59—21no—
574C2×C4×D59—21no—
575C2×C4×D59—21no—
576C2×C4×D59—21no—
577C2×C4×D59—21no—
578C2×C4×D59—21no—
579C2×C4×D59—21no—
580C2×C4×D59—21no—
581C2×C4×D59—21no—
582C2×C4×D59—21no—
583C2×C4×D59—82no—
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×Dic118C2×D411yescharacteristic
594C2×Dic118C2411yescharacteristic
595Q16×C59—41no—
596Q16×C59—41no—
597SD16×C59—22no—
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×C59—21no—
612C4⋊C4×C59—21no—
613C4⋊C4×C59—21no—
614C4⋊C4×C59C2×D411yescharacteristic
615C4⋊C4×C59C2411yescharacteristic
616C4⋊C4×C59C2411yescharacteristic
617C4⋊C4×C59C2411yescharacteristic
618C4⋊C4×C59C2411yescharacteristic
619C22⋊C4×C59—21no—
620C22⋊C4×C59—21no—
621C22⋊C4×C59—21no—
622C22⋊C4×C59—21no—
623C22⋊C4×C59—21no—
624C22⋊C4×C59—21no—
625C22⋊C4×C59C2×D411yescharacteristic
626C22⋊C4×C59C2×D411yescharacteristic
627C42×C59—21no—
628C42×C59—21no—
629C42×C59C2411yescharacteristic
630C22⋊Dic59—21no—
631C22⋊Dic59—21no—
632C22⋊Dic59—21no—
633C22⋊Dic59—21no—
634C22⋊Dic59C2×D411yescharacteristic
635C22⋊Dic59C2×D411yescharacteristic
636#11745672—41no—
637#11745672—41no—
638#11745671—22no—
639#11745671—41no—
640#11745671—41no—
641#11745670—22no—
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)⋊C4—21no—
657(C2×D59)⋊C4—21no—
658(C2×D59)⋊C4—21no—
659(C2×D59)⋊C4—21no—
660(C2×D59)⋊C4—21no—
661(C2×D59)⋊C4—21no—
662(C2×D59)⋊C4C2×D411yescharacteristic
663(C2×D59)⋊C4C2×D411yescharacteristic
664(C2×D59)⋊C4C2×D411yescharacteristic
665(C2×D59)⋊C4C2×D411yescharacteristic
666C4⋊Dic59—21no—
667C4⋊Dic59—21no—
668C4⋊Dic59—21no—
669C4⋊Dic59—21no—
670C4⋊Dic59C2×D411yescharacteristic
671C4⋊Dic59C2411yescharacteristic
672C4⋊Dic59C2411yescharacteristic
673C4⋊Dic59C2411yescharacteristic
674C4⋊Dic59C2411yescharacteristic
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⋊C4—21no—
689Dic59⋊C4—21no—
690Dic59⋊C4—21no—
691Dic59⋊C4C2×D411yescharacteristic
692Dic59⋊C4C2×D411yescharacteristic
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×Dic59C2×D411yescharacteristic
702C4×Dic59C2×D411yescharacteristic
703C4×Dic59C2411yescharacteristic
704#11745664—41no—
705C2×C59⋊C8—41no—
706C2×C59⋊C8C2411yescharacteristic
707C2×C59⋊C8C2411yescharacteristic
708C2×C59⋊C8C2411yescharacteristic
709C2×C59⋊C8C2411yescharacteristic
710#11745660—22no—
711#11745660—41no—
712#11745660—41no—
713#11745659—22no—
714#11745659—22no—
715#11745659—41no—
716#11745659—41no—
717C8×D59—22no—
718C8×D59—22no—
719C8×D59—41no—
720C8×D59—41no—
721C23×C59—21no—
722C23×C59C22×D411yescharacteristic
723C23×C59C22×D411yescharacteristic
724C22×D59—21no—
725C22×D59—24no—
726C22×D59—21no—
727C22×D59—21no—
728C22×D59—42no—
729C22×D59—42no—
730C22×D59—42no—
731C22×D59—42no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59—81no—
736C22×D59—81no—
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—21no—
750Q8×C59—21no—
751D4×C59—21no—
752D4×C59—41no—
753D4×C59—42no—
754D4×C59—42no—
755D4×C59C2×#4112yes—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
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—42no—
768C2×C4×C59—42no—
769C2×C4×C59—42no—
770C2×C4×C59—81no—
771C2×C4×C59C22×D411yescharacteristic
772C2×C4×C59C22×D411yescharacteristic
773C2×C4×C59C22×D411yescharacteristic
774C2×C4×C59C22×D411yescharacteristic
775C2×C4×C59C2511yescharacteristic
776C22⋊D59—22no—
777C22⋊D59—22no—
778C22⋊D59—22no—
779C22⋊D59—22no—
780C22⋊D59—24no—
781C22⋊D59—41no—
782C22⋊D59—41no—
783C22⋊D59—42no—
784C22⋊D59—42no—
785C22⋊D59—81no—
786C22⋊D59—81no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—81no—
793C2×Dic59—81no—
794C2×Dic59C22×D411yescharacteristic
795C2×Dic59C22×D411yescharacteristic
796C2×Dic59C22×D411yescharacteristic
797C2×Dic59C22×D411yescharacteristic
798C2×Dic59C22×D411yescharacteristic
799D236—22no—
800D236—22no—
801D236—21no—
802D236—21no—
803D236—21no—
804D236—21no—
805D236—21no—
806D236—41no—
807D236—42no—
808D236—42no—
809D236—42no—
810D236—42no—
811D236—42no—
812D236—42no—
813D236—42no—
814D236—81no—
815D236—81no—
816D236—81no—
817D236C2×#4112yes—
818C4×D59—21no—
819C4×D59—21no—
820C4×D59—21no—
821C4×D59—21no—
822C4×D59—41no—
823C4×D59—41no—
824C4×D59—42no—
825C4×D59—42no—
826C4×D59—42no—
827C4×D59—42no—
828C4×D59—42no—
829C4×D59—42no—
830C4×D59—81no—
831C4×D59—81no—
832C4×D59—81no—
833C4×D59—81no—
834C4×D59—81no—
835C4×D59C2×#4112yes—
836C4×D59H(5,𝔽2)12yes—
837Dic118—22no—
838Dic118—22no—
839Dic118—21no—
840Dic118—21no—
841Dic118—42no—
842Dic118—42no—
843Dic118—81no—
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#61219—591nomaximal, Sylow
853C22×C59—21no—
854C22×C59—21no—
855C22×C59—21no—
856C22×C59—21no—
857C22×C59—21no—
858C22×C59—21no—
859C22×C59—22no—
860C22×C59—41no—
861C22×C59—41no—
862C22×C59C23×D411yescharacteristic
863C2×D59—21no—
864C2×D59—21no—
865C2×D59—21no—
866C2×D59—21no—
867C2×D59—21no—
868C2×D59—21no—
869C2×D59—21no—
870C2×D59—21no—
871C2×D59—22no—
872C2×D59—41no—
873C2×D59—41no—
874C2×D59—41no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—84no—
881C2×D59—162no—
882C2×D59—162no—
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×C59—41no—
897C4×C59C22×#4111yescharacteristic
898C4×C59C2×H(5,𝔽2)11yescharacteristic
899Dic59—21no—
900Dic59—21no—
901Dic59—21no—
902Dic59—21no—
903Dic59—41no—
904Dic59—41no—
905Dic59—41no—
906Dic59—41no—
907Dic59—41no—
908Dic59#54612yes—
909#3507—591no—
910#3496—591no—
911#3315—591no—
912#3315—591no—
913#3315—591no—
914#3315D5911yescharacteristic, complemented
915#3314—591no—
916#3314—591no—
917#3314—591no—
918#3314—591no—
919#3311—591no—
920#3311—591no—
921#3311—591no—
922#3311—591no—
923#3310—591no—
924#3310—591no—
925#3310—591no—
926#3310—591no—
927#3135—591no—
928#3098—591no—
929#3098—591no—
930#3077—591no—
931#3063—591no—
932#3063—591no—
933#3037—591no—
934#3009—591no—
935#3009—591no—
936C2×#440—591no—
937#2932—591no—
938#2897—591no—
939#2897—591no—
940C2×C59—42no—
941C2×C59—41no—
942C2×C59—41no—
943C2×C59C2×#54611yescharacteristic
944C2×C59#358511yescharacteristic
945C2×C59#358611yescharacteristic
946D59—22no—
947D59—41no—
948D59—41no—
949D59—42no—
950D59—81no—
951D59—81no—
952C2×H(5,𝔽2)—591no—
953C2×H(5,𝔽2)—591no—
954C2×#137—591no—
955C2×#137—591no—
956C22×SD16—591no—
957C2×#131—591no—
958C2×#131—591no—
959#559—1181no—
960#557—1181no—
961#556—591no—
962#556—591no—
963#556—1181no—
964#556—1181no—
965#554—591no—
966#554—591no—
967#552—591no—
968#552—591no—
969#552—591no—
970#552C2×D5911yescharacteristic, complemented
971#547—591no—
972#547—1181no—
973#547C2×D5911yescharacteristic
974#546—591no—
975#546—591no—
976#546—591no—
977#546—591no—
978#546—1181no—
979#546—1181no—
980D42—591no—
981D42—591no—
982D42—1181no—
983#539—1181no—
984#539—1181no—
985#537—591no—
986#537—591no—
987#536—591no—
988#536—591no—
989#534—1181no—
990#534—1181no—
991#533—591no—
992#532—591no—
993#532—591no—
994#529—1181no—
995#529—1181no—
996C2×#121—1181no—
997C2×#121—1181no—
998#520—591no—
999#520—591no—
1000C2×C4×Q8—591no—
1001C2×C4×D4—591no—
1002#491—591no—
1003#491C2×D5911yescharacteristic, complemented
1004#490—591no—
1005#490—591no—
1006#489—591no—
1007#489—591no—
1008#489—591no—
1009#489—591no—
1010#485—591no—
1011#485—591no—
1012#485—591no—
1013#485C2×D5911yescharacteristic, complemented
1014#484—591no—
1015#484—591no—
1016#484—591no—
1017#484C2×D5911yescharacteristic, complemented
1018#482—591no—
1019#482—591no—
1020#482—591no—
1021#482—591no—
1022#480—591no—
1023#480—591no—
1024#480—591no—
1025#480—591no—
1026#478—591no—
1027#478—591no—
1028#478—591no—
1029#478C2×D5911yescharacteristic, complemented
1030#476—591no—
1031#476—591no—
1032#474—591no—
1033#474—591no—
1034#470—591no—
1035#470—591no—
1036#470—591no—
1037#470C2×D5911yescharacteristic, complemented
1038#468—591no—
1039#468—591no—
1040#468—591no—
1041#468—591no—
1042#467—591no—
1043#467—591no—
1044#467—591no—
1045#467C2×D5911yescharacteristic, complemented
1046#465—591no—
1047#465—591no—
1048#465—591no—
1049#465—591no—
1050#464—591no—
1051#464—591no—
1052#464—591no—
1053#464—591no—
1054#462—591no—
1055#462C2×D5911yescharacteristic, complemented
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#452C2×D5911yescharacteristic, complemented
1065#452C2×D5911yescharacteristic, complemented
1066#450—591no—
1067#450—591no—
1068#450—591no—
1069#450—591no—
1070#450—591no—
1071#450—591no—
1072#450—591no—
1073#450—591no—
1074#440—591no—
1075#440—591no—
1076#440—591no—
1077#440—591no—
1078#440—591no—
1079#440—591no—
1080#440—591no—
1081#440C2×D5911yescharacteristic, complemented
1082#435—591no—
1083#435—591no—
1084#435—591no—
1085#435—591no—
1086#435—591no—
1087#435—591no—
1088#435—591no—
1089#435C2×D5911yescharacteristic, complemented
1090#428—591no—
1091#428—591no—
1092C2×#107—591no—
1093#423—591no—
1094#418—591no—
1095#418—591no—
1096#418—591no—
1097#418—591no—
1098#418—591no—
1099#418—591no—
1100#417—591no—
1101#417—591no—
1102#417—591no—
1103#417—591no—
1104#417—591no—
1105#417C2×D5911yescharacteristic, complemented
1106#416—591no—
1107#416—591no—
1108#416—591no—
1109#416—591no—
1110#416—591no—
1111#416—591no—
1112#416—591no—
1113#416C2×D5911yescharacteristic, complemented
1114C2×#103—591no—
1115C2×#102—591no—
1116C2×#102—591no—
1117C2×#102—591no—
1118C2×#102—591no—
1119C2×#102—591no—
1120#408—591no—
1121#408—591no—
1122C2×#97—591no—
1123C59#6121911yescharacteristic, complemented, Sylow
1124H(5,𝔽2)—1184no—
1125H(5,𝔽2)—1184no—
1126H(5,𝔽2)—2362no—
1127H(5,𝔽2)—2362no—
1128C2×#41—591no—
1129C2×#41—591no—
1130C2×#41—591no—
1131C2×#41—591no—
1132C2×#41—591no—
1133C2×#41—591no—
1134C2×#41—1181no—
1135C2×#41—1181no—
1136C2×#41C22×D5911yescharacteristic
1137C2×#41C22×D5911yescharacteristic
1138C22×Q8—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—1181no—
1145C22×D4—1181no—
1146C22×D4—1181no—
1147C22×D4—1181no—
1148C22×D4—1181no—
1149C22×D4—1181no—
1150C22×D4—1181no—
1151C22×D4—1181no—
1152C23×C4—1181no—
1153#137—2362no—
1154#137—2362no—
1155C2×Q16—591no—
1156C2×Q16—591no—
1157C2×Q16C22×D5911yescharacteristic
1158C2×Q16C22×D5911yescharacteristic
1159C2×SD16—591no—
1160C2×SD16—591no—
1161C2×SD16—591no—
1162C2×SD16—591no—
1163C2×SD16—591no—
1164C2×SD16—591no—
1165C2×SD16—591no—
1166C2×SD16—1184no—
1167C2×SD16C22×D5911yescharacteristic
1168#131—2362no—
1169#131—2362no—
1170C2×M16—591no—
1171C2×M16—591no—
1172C2×M16—591no—
1173C2×M16—591no—
1174C2×M16—591no—
1175C2×M16C22×D5911yescharacteristic
1176C22×C8—591no—
1177C22×C8—591no—
1178C22×C8—591no—
1179C22×C8—591no—
1180C22×C8—591no—
1181C22×C8C22×D5911yescharacteristic
1182C4⋊Q8—591no—
1183C4⋊Q8—591no—
1184C4⋊Q8—591no—
1185C4⋊Q8—1181no—
1186C4⋊Q8—1181no—
1187C4⋊Q8C22×D5911yescharacteristic
1188#127—591no—
1189#127—591no—
1190#126—21no—
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—1181no—
1201#125—1181no—
1202#125—1181no—
1203#125—1181no—
1204#125—1181no—
1205#125C22×D5911yescharacteristic
1206#124—591no—
1207#124—591no—
1208#124—591no—
1209#124—591no—
1210#124—1181no—
1211#124—1181no—
1212#124—1181no—
1213#124—1181no—
1214#123—21no—
1215#123—21no—
1216#123—21no—
1217#123—1181no—
1218#123—1181no—
1219#123—1181no—
1220#123—1181no—
1221#123—1181no—
1222#123—1181no—
1223#123—1181no—
1224#123—1181no—
1225#123—1181no—
1226#123—1181no—
1227#123—1181no—
1228#123—1181no—
1229#123—1181no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—591no—
1233C22⋊Q8—591no—
1234C22⋊Q8—591no—
1235C22⋊Q8—591no—
1236C22⋊Q8—591no—
1237C22⋊Q8—591no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8—1181no—
1241C22⋊Q8—1181no—
1242C22⋊Q8—1181no—
1243C22⋊Q8—1181no—
1244C22⋊Q8—1181no—
1245C22⋊Q8—1181no—
1246C22⋊Q8C22×D5911yescharacteristic
1247C22⋊Q8C22×D5911yescharacteristic
1248C22⋊Q8C22×D5911yescharacteristic
1249C22⋊Q8C22×D5911yescharacteristic
1250#121—21no—
1251#121—591no—
1252#121—591no—
1253#121—591no—
1254#121—591no—
1255#121—591no—
1256#121—591no—
1257#121—591no—
1258#121—591no—
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#121—1181no—
1272#121—1181no—
1273#121—1181no—
1274#120—1181no—
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—1181no—
1286C4×Q8—1181no—
1287C4×Q8—1181no—
1288C4×Q8—1181no—
1289C4×Q8—1181no—
1290C4×Q8—1181no—
1291C4×Q8—1181no—
1292C4×Q8—1181no—
1293C4×Q8C22×D5911yescharacteristic
1294C4×D4—591no—
1295C4×D4—591no—
1296C4×D4—591no—
1297C4×D4—591no—
1298C4×D4—591no—
1299C4×D4—591no—
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×D4—1181no—
1309C4×D4—1181no—
1310C4×D4—1181no—
1311C4×D4—1181no—
1312C4×D4C22×D5911yescharacteristic
1313C4×D4C22×D5911yescharacteristic
1314#117—21no—
1315#117—591no—
1316#117—591no—
1317#117—591no—
1318#117—591no—
1319#117—591no—
1320#117—1181no—
1321#117—1181no—
1322#117—1181no—
1323#117C22×D5911yescharacteristic
1324C2×C4⋊C4—21no—
1325C2×C4⋊C4—591no—
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×C22⋊C4—1181no—
1334C2×C22⋊C4—1181no—
1335C2×C22⋊C4—1181no—
1336C2×C22⋊C4—1181no—
1337C2×C22⋊C4—1181no—
1338C2×C42—591no—
1339C2×C42—1181no—
1340#107—591no—
1341#107—591no—
1342#107—591no—
1343#107—591no—
1344#107—591no—
1345#107—591no—
1346#107C22×D5911yescharacteristic
1347#107C22×D5911yescharacteristic
1348#106—591no—
1349#106—591no—
1350#106—591no—
1351#106C22×D5911yescharacteristic
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#103C22×D5911yescharacteristic
1366#103C22×D5911yescharacteristic
1367#103C22×D5911yescharacteristic
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#102—591no—
1391#102—591no—
1392#102—591no—
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#97—591no—
1406#97—591no—
1407#97C22×D5911yescharacteristic
1408C24—1181no—
1409C24—1181no—
1410C24—1181no—
1411C24—1181no—
1412C24—1181no—
1413#41—22no—
1414#41—22no—
1415#41—41no—
1416#41—41no—
1417#41—1182no—
1418#41—1182no—
1419#41—1182no—
1420#41—1182no—
1421#41—1182no—
1422#41—1182no—
1423#41—1182no—
1424#41—1182no—
1425#41—1182no—
1426#41—1182no—
1427#41—2364no—
1428#41—2364no—
1429#41—2361no—
1430#41—2361no—
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×Q8C23×D5911yescharacteristic
1440C2×Q8C23×D5911yescharacteristic
1441C2×Q8C23×D5911yescharacteristic
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—594no—
1445C2×D4—591no—
1446C2×D4—591no—
1447C2×D4—591no—
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—591no—
1457C2×D4—1182no—
1458C2×D4—1182no—
1459C2×D4—1181no—
1460C2×D4—1181no—
1461C2×D4—1181no—
1462C2×D4—1181no—
1463C2×D4—1181no—
1464C2×D4—1181no—
1465C2×D4—1182no—
1466C2×D4—1181no—
1467C2×D4—1181no—
1468C2×D4—1181no—
1469C2×D4—1182no—
1470C2×D4—1182no—
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—2361no—
1480C2×D4—2361no—
1481C2×D4—2364no—
1482C2×D4—2364no—
1483C2×D4—2361no—
1484C2×D4—2361no—
1485C2×D4—2364no—
1486C2×D4—2364no—
1487C2×D4—2364no—
1488C2×D4—2364no—
1489C2×D4D4×D5911yescharacteristic
1490C2×D4C23×D5911yescharacteristic
1491C22×C4—21no—
1492C22×C4—21no—
1493C22×C4—21no—
1494C22×C4—21no—
1495C22×C4—591no—
1496C22×C4—591no—
1497C22×C4—591no—
1498C22×C4—591no—
1499C22×C4—591no—
1500C22×C4—1181no—
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—4722no—
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5911yescharacteristic
1516Q16—41no—
1517Q16—41no—
1518Q16—2361no—
1519Q16—2361no—
1520SD16—22no—
1521SD16—1182no—
1522SD16—1182no—
1523SD16—1182no—
1524SD16—2361no—
1525SD16—2361no—
1526SD16—2361no—
1527SD16—2361no—
1528M16—41no—
1529M16—1182no—
1530M16—1182no—
1531M16—2361no—
1532M16—2361no—
1533M16—2361no—
1534C2×C8—41no—
1535C2×C8—591no—
1536C2×C8—591no—
1537C2×C8—591no—
1538C2×C8—591no—
1539C2×C8—1182no—
1540C2×C8—1182no—
1541C2×C8—2361no—
1542C2×C8—2361no—
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—21no—
1556C4⋊C4—21no—
1557C4⋊C4—21no—
1558C4⋊C4—591no—
1559C4⋊C4—591no—
1560C4⋊C4—591no—
1561C4⋊C4—591no—
1562C4⋊C4—591no—
1563C4⋊C4—591no—
1564C4⋊C4—591no—
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—591no—
1597C22⋊C4—591no—
1598C22⋊C4—591no—
1599C22⋊C4—591no—
1600C22⋊C4—591no—
1601C22⋊C4—591no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
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—21no—
1630C42—591no—
1631C42—591no—
1632C42—591no—
1633C42—1181no—
1634C42—1181no—
1635C42—1181no—
1636C42—1181no—
1637C42—1181no—
1638C42—1181no—
1639C42—1181no—
1640C42—1181no—
1641C42C23×D5911yescharacteristic
1642C23—21no—
1643C23—591no—
1644C23—591no—
1645C23—591no—
1646C23—1184no—
1647C23—1181no—
1648C23—1181no—
1649C23—1181no—
1650C23—4721no—
1651C23—4721no—
1652C23—4721no—
1653C23—4721no—
1654C23—4721no—
1655C23—4721no—
1656C23—4721no—
1657C23—4721no—
1658C23—4721no—
1659C23—4721no—
1660C23—2362no—
1661C23—2362no—
1662C23—2362no—
1663C23—2362no—
1664C23C2×D4×D5911yescharacteristic
1665C23C2×D4×D5911yescharacteristic
1666Q8—21no—
1667Q8—21no—
1668Q8—21no—
1669Q8—21no—
1670Q8—21no—
1671Q8—21no—
1672Q8—1182no—
1673Q8—1182no—
1674Q8—1181no—
1675Q8—1181no—
1676Q8—4721no—
1677Q8—2362no—
1678Q8—2362no—
1679D4—21no—
1680D4—41no—
1681D4—42no—
1682D4—42no—
1683D4—592no—
1684D4—1182no—
1685D4—1182no—
1686D4—1184no—
1687D4—1182no—
1688D4—1182no—
1689D4—1182no—
1690D4—1182no—
1691D4—1181no—
1692D4—1181no—
1693D4—1181no—
1694D4—1181no—
1695D4—1181no—
1696D4—4721no—
1697D4—4721no—
1698D4—4721no—
1699D4—4721no—
1700D4—4721no—
1701D4—2361no—
1702D4—2362no—
1703D4—2362no—
1704D4—2362no—
1705D4—2362no—
1706D4—2362no—
1707D4—2362no—
1708D4—2362no—
1709D4—2361no—
1710D4—2361no—
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—21no—
1725C2×C4—42no—
1726C2×C4—42no—
1727C2×C4—42no—
1728C2×C4—81no—
1729C2×C4—591no—
1730C2×C4—592no—
1731C2×C4—592no—
1732C2×C4—591no—
1733C2×C4—591no—
1734C2×C4—591no—
1735C2×C4—591no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—4721no—
1746C2×C4—4721no—
1747C2×C4—4721no—
1748C2×C4—4721no—
1749C2×C4—4721no—
1750C2×C4—4721no—
1751C2×C4—4721no—
1752C2×C4—2361no—
1753C2×C4—2361no—
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—592no—
1783C22—1181no—
1784C22—1181no—
1785C22—1181no—
1786C22—1181no—
1787C22—1182no—
1788C22—1181no—
1789C22—1181no—
1790C22—1181no—
1791C22—1181no—
1792C22—9442no—
1793C22—9442no—
1794C22—9442no—
1795C22—9442no—
1796C22—4724no—
1797C22—2361no—
1798C22—2361no—
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—41no—
1817C4—592no—
1818C4—1181no—
1819C4—1181no—
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—1182no—
1833C2—4721no—
1834C2—4721no—
1835C2—2361no—
1836C2—2361no—
1837C2—2362no—
1838C2#546×D5911yescharacteristic
1839C2#2143887311yescharacteristic
1840C2#2143888111yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3315C2
socleC22×C59C23×D4
prime radical#21437854C2
hypercenter#3315D59
hypocenterC59#61219
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #21437955C2semidirect
3. #21436199C2semidirect
4. #21436192C2semidirect
5. #21436191C2semidirect
6. #21436183C2semidirect
7. #21436178C2semidirect
8. #21436175C2semidirect
9. #21436170C2semidirect
10. #21436136C2semidirect
11. #21436135C2semidirect
12. #21436128C2semidirect
13. #21436127C2semidirect
14. #21436122C2semidirect
15. #21436119C2semidirect
16. #21436114C2semidirect
17. #21436111C2semidirect
18. #21434443C2semidirect
19. #21434077C2semidirect
20. #21434075C2semidirect
21. #21433891C2semidirect
22. #21433786C2semidirect
23. #21433784C2semidirect
24. #21433569C2semidirect
25. #21433370C2semidirect
26. #21433370C2semidirect
27. #440×D59C2semidirect
28. #21432810C2semidirect
29. #21432620C2semidirect
30. #21432618C2semidirect
31. C59×#3315C2semidirect
34. C2×#14273759C22semidirect
35. C2×#14273759C22semidirect
37. C2×#14273735C22semidirect
38. C2×#14273733C22semidirect
41. #16838123C22semidirect
43. #16838120C22semidirect
45. #16838110C22semidirect
46. #16838107C22semidirect
47. #16838093C22semidirect
48. #16838092C22semidirect
49. #16838090C22semidirect
65. #16837975C22semidirect
66. #16837975C22semidirect
69. #16837958C22semidirect
76. #16837883C22semidirect
77. #16837882C22semidirect
78. C4×Q8×D59C22semidirect
80. #16837770C22semidirect
81. #16837768C22semidirect
82. #16837767C22semidirect
83. #16837763C22semidirect
84. #16837763C22semidirect
85. #16837763C22semidirect
86. #16837763C22semidirect
87. #16837742C22semidirect
88. #16837741C22semidirect
89. #16837740C22semidirect
90. #16837736C22semidirect
91. #16837736C22semidirect
92. #16837735C22semidirect
93. #16837729C22semidirect
94. #16837728C22semidirect
95. #16837727C22semidirect
96. #16837726C22semidirect
97. #16837717C22semidirect
98. #16837717C22semidirect
99. #16837716C22semidirect
100. #16837715C22semidirect
101. #16837703C22semidirect
102. #16837702C22semidirect
103. #16837699C22semidirect
104. #16837691C22semidirect
105. #16837690C22semidirect
106. #16837681C22semidirect
107. #16837680C22semidirect
108. #16837659C22semidirect
109. #16837658C22semidirect
110. #16837657C22semidirect
111. #16837651C22semidirect
112. #16837650C22semidirect
113. #16837649C22semidirect
114. #16837648C22semidirect
115. #16837642C22semidirect
116. #16837641C22semidirect
117. #16837640C22semidirect
118. #16837634C22semidirect
119. #16837633C22semidirect
120. #16837632C22semidirect
121. #16837631C22semidirect
122. #16837627C22semidirect
123. #16837627C22semidirect
124. #16837626C22semidirect
125. #16837626C22semidirect
126. #16837609C22semidirect
127. #16837603C22semidirect
128. #16837602C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837564C22semidirect
132. #16837564C22semidirect
133. #16837563C22semidirect
134. #16837563C22semidirect
135. #16837555C22semidirect
136. #16837555C22semidirect
137. #16837554C22semidirect
138. #16837554C22semidirect
139. #16837552C22semidirect
140. #16837552C22semidirect
141. #16837551C22semidirect
142. #16837551C22semidirect
143. #16837505C22semidirect
144. #16837504C22semidirect
145. #16837503C22semidirect
146. #16837502C22semidirect
147. #16837501C22semidirect
148. #16837500C22semidirect
149. #16837499C22semidirect
150. #16837476C22semidirect
151. #16837475C22semidirect
152. #16837474C22semidirect
153. #16837473C22semidirect
154. #16837472C22semidirect
155. #16837471C22semidirect
156. #16837470C22semidirect
157. #16837443C22semidirect
158. #16837441C22semidirect
159. #107×D59C22semidirect
160. #16837424C22semidirect
161. #16837408C22semidirect
162. #16837406C22semidirect
165. #16837405C22semidirect
166. #16837405C22semidirect
167. #16837403C22semidirect
168. #16837402C22semidirect
169. #16837402C22semidirect
170. #16837402C22semidirect
171. #16837402C22semidirect
172. #16837398C22semidirect
173. #16837397C22semidirect
174. #16837397C22semidirect
175. #16837397C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. #16837397C22semidirect
179. #103×D59C22semidirect
180. C2×#14273649C22semidirect
181. C2×#14273647C22semidirect
183. #102×D59C22semidirect
184. #102×D59C22semidirect
185. #16837367C22semidirect
186. #16837367C22semidirect
187. #97×D59C22semidirect
188. C59×#552C22semidirect
190. C59×#491C22semidirect
191. C59×#485C22semidirect
192. C59×#484C22semidirect
193. C59×#478C22semidirect
194. C59×#470C22semidirect
195. C59×#467C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C59×#440C22semidirect
200. C59×#435C22semidirect
201. C59×#417C22semidirect
202. C59×#416C22semidirect
914. #3315D59semidirect
970. #552C2×D59semidirect
1003. #491C2×D59semidirect
1013. #485C2×D59semidirect
1017. #484C2×D59semidirect
1029. #478C2×D59semidirect
1037. #470C2×D59semidirect
1045. #467C2×D59semidirect
1055. #462C2×D59semidirect
1064. #452C2×D59semidirect
1065. #452C2×D59semidirect
1081. #440C2×D59semidirect
1089. #435C2×D59semidirect
1105. #417C2×D59semidirect
1113. #416C2×D59semidirect
1123. C59#61219semidirect

Maximal subgroups

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

subgroupindex
#214379552
#214378542
#214361992
#214361922
#214361912
#214361832
#214361782
#214361752
#214361702
#214361362
#214361352
#214361282
#214361272
#214361222
#214361192
#214361142
#214361112
#214344432
#214340772
#214340752
#214338912
#214337862
#214337842
#214335692
#214333702
#440×D592
#214328102
#214326202
#214326182
C59×#33152
#6121959