Finite Group Databasebeta

← #29466390

Subgroups — #29466390

Order 15104.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1810 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437844C211yesmaximal, characteristic, complemented
2#21437735C211yesmaximal, characteristic
3#21436410C211yesmaximal, characteristic, complemented
4#21436314C211yesmaximal, characteristic, complemented
5#21436305C211yesmaximal, characteristic, complemented
6#21436199C211yesmaximal, characteristic, complemented
7#21436193C211yesmaximal, characteristic, complemented
8#21436192C211yesmaximal, characteristic, complemented
9#21436187C211yesmaximal, characteristic, complemented
10#21436178C211yesmaximal, characteristic, complemented
11#21436171C211yesmaximal, characteristic, complemented
12#21436129C211yesmaximal, characteristic, complemented
13#21436127C211yesmaximal, characteristic, complemented
14#21436012C211yesmaximal, characteristic, complemented
15#21436006C211yesmaximal, characteristic, complemented
16#21435936C211yesmaximal, characteristic, complemented
17#21435929C211yesmaximal, characteristic, complemented
18#21434456C211yesmaximal, characteristic, complemented
19#21434058C211yesmaximal, characteristic, complemented
20#21434010C211yesmaximal, characteristic, complemented
21#21433922C211yesmaximal, characteristic, complemented
22#21433749C211yesmaximal, characteristic, complemented
23#21433725C211yesmaximal, characteristic, complemented
24#21433621C211yesmaximal, characteristic, complemented
25#21433370C211yesmaximal, characteristic, complemented
26#452×D59C211yesmaximal, characteristic, complemented
27#21432950C211yesmaximal, characteristic, complemented
28#21432825C211yesmaximal, characteristic, complemented
29#21432620C211yesmaximal, characteristic, complemented
30#21432612C211yesmaximal, characteristic, complemented
31C59×#3331C211yesmaximal, characteristic, complemented
32C2×#14273773C2211yescharacteristic
33C2×#41×D59C2211yescharacteristic
34C2×#14273759C2211yescharacteristic
35C2×Q16×D59C2211yescharacteristic, complemented
36C2×SD16×D59C2211yescharacteristic
37C2×#14273735C2211yescharacteristic
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#16838055C2211yescharacteristic
51#16838054C2211yescharacteristic
52#16838053—21no—
53#16838051C2211yescharacteristic
54#16838050—21no—
55#16838048C2211yescharacteristic
56#16838047C2211yescharacteristic
57#16838044—21no—
58#16838043C2211yescharacteristic
59#16838041—21no—
60#16838040C2211yescharacteristic
61#16838029C2211yescharacteristic, complemented
62#16838022—21no—
63#16838011—21no—
64#16837977C2211yescharacteristic
65#16837975C2211yescharacteristic
66#16837975C2211yescharacteristic
67#16837963—21no—
68#16837960—21no—
69#16837954—21no—
70#16837932—21no—
71#16837915C2211yescharacteristic
72#16837911C2211yescharacteristic
73C2×#14273712—21no—
74#123×D59—21no—
75C22⋊Q8×D59C2211yescharacteristic, complemented
76#16837883C2211yescharacteristic
77#16837878C2211yescharacteristic, complemented
78#16837874C2211yescharacteristic
79C2×#14273685C2211yescharacteristic, complemented
80#16837770C2211yescharacteristic, complemented
81#16837769C2211yescharacteristic, complemented
82#16837764C2211yescharacteristic, complemented
83#16837763C2211yescharacteristic, complemented
84#16837758C2211yescharacteristic, complemented
85#16837757C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837746C2211yescharacteristic, complemented
88#16837744C2211yescharacteristic, complemented
89#16837741C2211yescharacteristic, complemented
90#16837741C2211yescharacteristic, complemented
91#16837741C2211yescharacteristic, complemented
92#16837740C2211yescharacteristic, complemented
93#16837737C2211yescharacteristic, complemented
94#16837736C2211yescharacteristic, complemented
95#16837735C2211yescharacteristic, complemented
96#16837734C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837728C2211yescharacteristic, complemented
99#16837721C2211yescharacteristic, complemented
100#16837715C2211yescharacteristic, complemented
101#16837704C2211yescharacteristic, complemented
102#16837703C2211yescharacteristic, complemented
103#16837702C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837691C2211yescharacteristic, complemented
106#16837680C2211yescharacteristic, complemented
107#16837679C2211yescharacteristic, complemented
108#16837661C2211yescharacteristic, complemented
109#16837660C2211yescharacteristic, complemented
110#16837658C2211yescharacteristic, complemented
111#16837657C2211yescharacteristic, complemented
112#16837650C2211yescharacteristic, complemented
113#16837648C2211yescharacteristic, complemented
114#16837642C2211yescharacteristic, complemented
115#16837642C2211yescharacteristic, complemented
116#16837642C2211yescharacteristic, complemented
117#16837641C2211yescharacteristic, complemented
118#16837641C2211yescharacteristic, complemented
119#16837640C2211yescharacteristic, complemented
120#16837634C2211yescharacteristic, complemented
121#16837632C2211yescharacteristic, complemented
122#16837627C2211yescharacteristic, complemented
123#16837626C2211yescharacteristic, complemented
124#16837625C2211yescharacteristic, complemented
125#16837624C2211yescharacteristic, complemented
126#16837611C2211yescharacteristic, complemented
127#16837610C2211yescharacteristic, complemented
128#16837609C2211yescharacteristic, complemented
129#16837567C2211yescharacteristic, complemented
130#16837567C2211yescharacteristic, complemented
131#16837566C2211yescharacteristic, complemented
132#16837565C2211yescharacteristic, complemented
133#16837564C2211yescharacteristic, complemented
134#16837564C2211yescharacteristic, complemented
135#16837563C2211yescharacteristic, complemented
136#16837563C2211yescharacteristic, complemented
137#16837562C2211yescharacteristic, complemented
138#16837561C2211yescharacteristic, complemented
139#16837555C2211yescharacteristic, complemented
140#16837554C2211yescharacteristic, complemented
141#16837552C2211yescharacteristic, complemented
142#16837551C2211yescharacteristic, complemented
143#16837505C2211yescharacteristic, complemented
144#16837502C2211yescharacteristic, complemented
145#16837500C2211yescharacteristic, complemented
146#16837499C2211yescharacteristic, complemented
147C4×#11745660C2211yescharacteristic, complemented
148SD16×Dic59C2211yescharacteristic, complemented
149#16837489C2211yescharacteristic, complemented
150#16837477C2211yescharacteristic, complemented
151#16837474C2211yescharacteristic, complemented
152#16837472C2211yescharacteristic, complemented
153#16837471C2211yescharacteristic, complemented
154#16837471C2211yescharacteristic, complemented
155C8×D236C2211yescharacteristic, complemented
156(C22⋊D59)⋊C8C2211yescharacteristic, complemented
157#16837441C2211yescharacteristic, complemented
158#16837437C2211yescharacteristic, complemented
159#16837437C2211yescharacteristic, complemented
160#16837427C2211yescharacteristic, complemented
161#16837409C2211yescharacteristic, complemented
162#16837409C2211yescharacteristic, complemented
163#16837409C2211yescharacteristic, complemented
164#16837408C2211yescharacteristic, complemented
165#16837405C2211yescharacteristic
166#16837405C2211yescharacteristic
167#16837405C2211yescharacteristic, complemented
168#16837404C2211yescharacteristic, complemented
169#16837403C2211yescharacteristic, complemented
170#16837402C2211yescharacteristic
171#16837402C2211yescharacteristic, complemented
172#16837401C2211yescharacteristic, complemented
173#16837398C2211yescharacteristic, complemented
174#16837397C2211yescharacteristic
175#16837397C2211yescharacteristic
176#16837397C2211yescharacteristic, complemented
177#16837397C2211yescharacteristic, complemented
178#16837397C2211yescharacteristic, complemented
179#16837395C2211yescharacteristic, complemented
180#16837395C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273647C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic
184#102×D59C2211yescharacteristic, complemented
185#16837367C2211yescharacteristic
186C22⋊C8×D59C2211yescharacteristic, complemented
187#16837356C2211yescharacteristic, complemented
188C59×#554C2211yescharacteristic, complemented
189C59×#547C2211yescharacteristic
190C59×#487C2211yescharacteristic, complemented
191C59×#483C2211yescharacteristic, complemented
192C59×#483C2211yescharacteristic, complemented
193C59×#476C2211yescharacteristic, complemented
194C59×#470C2211yescharacteristic, complemented
195C59×#470C2211yescharacteristic, complemented
196C59×#462C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#452C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C59×#436C2211yescharacteristic, complemented
201C59×#417C2211yescharacteristic, complemented
202C59×#417C2211yescharacteristic, complemented
203#14273773—24no—
204#14273773—42no—
205C2×#11745689C2311yescharacteristic
206C2×#11745689C2311yescharacteristic
207C2×#11745689C2311yescharacteristic
208C2×#11745685—21no—
209C2×#11745685—21no—
210C2×#11745685C2311yescharacteristic
211C2×#11745685C2311yescharacteristic
212C2×#11745687—21no—
213C2×#11745687C2311yescharacteristic
214#41×D59—24no—
215#41×D59—42no—
216C2×Q8×D59C2311yescharacteristic
217C2×Q8×D59C2311yescharacteristic
218C22×D236—21no—
219C22×D236C2311yescharacteristic
220C2×D4×D59—21no—
221C2×D4×D59—21no—
222C2×D4×D59—21no—
223C2×D4×D59C2311yescharacteristic
224C2×D4×D59C2311yescharacteristic
225C22×C4×D59—21no—
226C22×C4×D59C2311yescharacteristic
227#14273759—42no—
228C2×Dic236C2311yescharacteristic
229C2×#11745672C2311yescharacteristic
230C2×#11745672C2311yescharacteristic
231C2×#11745672C2311yescharacteristic
232Q16×D59—42no—
233C2×#11745660C2311yescharacteristic
234C2×#11745660C2311yescharacteristic
235C2×#11745670C2311yescharacteristic
236C2×#11745671C2311yescharacteristic
237C2×#11745671C2311yescharacteristic
238SD16×D59—24no—
239#14273735—42no—
240C2×#11745664C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244M16×D59—42no—
245C22×C59⋊C8C2311yescharacteristic
246C2×C8×D59C2311yescharacteristic
247C2×C8×D59C2311yescharacteristic
248C2×C8×D59C2311yescharacteristic
249C2×C8×D59C2311yescharacteristic
250C2×C8×D59C2311yescharacteristic
251#14273726—21no—
252#14273726—21no—
253#14273726C2311yescharacteristic
254#14273725—21no—
255#14273725C2311yescharacteristic
256#14273722—21no—
257#14273722—21no—
258#14273722—21no—
259#14273722—21no—
260#14273722—21no—
261#14273721—21no—
262#14273720—21no—
263#14273720—21no—
264#14273719C2311yescharacteristic
265#14273718—21no—
266#14273718C2311yescharacteristic
267#14273717—21no—
268#14273717—21no—
269#14273717—21no—
270#14273717—21no—
271#14273717—21no—
272#14273716—21no—
273#14273716C2311yescharacteristic
274#14273715C2311yescharacteristic
275#14273713—21no—
276#14273713—21no—
277#14273713—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712—21no—
287#14273712—21no—
288#14273712—21no—
289#14273712D411yescharacteristic
290#14273711—21no—
291#14273711—21no—
292#14273710—21no—
293#14273710—21no—
294#14273710—21no—
295#14273709—21no—
296#14273709—21no—
297#14273709—21no—
298#14273709D411yescharacteristic
299#14273708—21no—
300#14273708—21no—
301#14273707C2311yescharacteristic
302#14273707C2311yescharacteristic
303#14273707C2311yescharacteristic
304#14273706—21no—
305#14273706C2311yescharacteristic
306#14273706C2311yescharacteristic
307#14273706C2311yescharacteristic
308#14273705—21no—
309#14273705—21no—
310#14273705—21no—
311#14273705—21no—
312#14273705—21no—
313#14273705D411yescharacteristic
314#14273704—21no—
315#14273704D411yescharacteristic
316#14273703—21no—
317#14273703C2311yescharacteristic
318#14273703C2311yescharacteristic
319#14273703C2311yescharacteristic
320#14273703C2311yescharacteristic
321#14273702—21no—
322#14273702—21no—
323#14273702C2311yescharacteristic
324#14273701—21no—
325#14273701C2311yescharacteristic
326#14273700—21no—
327#14273700—21no—
328#14273700D411yescharacteristic
329#14273699—21no—
330#14273699—21no—
331#14273699D411yescharacteristic
332#14273697—21no—
333#14273697—21no—
334#14273697—21no—
335#14273697D411yescharacteristic
336#14273695—21no—
337#14273695—21no—
338#14273695D411yescharacteristic
339Q8×Dic59—21no—
340Q8×Dic59C2311yescharacteristic
341C4×Dic118—21no—
342C4×Dic118C2311yescharacteristic
343#14273692—21no—
344#14273692—21no—
345#14273692—21no—
346#14273692C2311yescharacteristic
347C4×D236C2311yescharacteristic
348C4×D236C2311yescharacteristic
349D4×Dic59C2311yescharacteristic
350#14273689—21no—
351#14273689—21no—
352#14273689C2311yescharacteristic
353C4×C22⋊D59—21no—
354C4×C22⋊D59—21no—
355C4×C22⋊D59—21no—
356C4×C22⋊D59—21no—
357C4×C22⋊D59C2311yescharacteristic
358C4×C22⋊D59C2311yescharacteristic
359(C22⋊D59)⋊C4—21no—
360(C22⋊D59)⋊C4—21no—
361#14273686—21no—
362#14273686C2311yescharacteristic
363#14273685—21no—
364#14273685—21no—
365#14273685—21no—
366#14273685C2311yescharacteristic
367#14273685C2311yescharacteristic
368#14273685C2311yescharacteristic
369#14273685C2311yescharacteristic
370#14273685C2311yescharacteristic
371#14273685C2311yescharacteristic
372#14273684—21no—
373#14273684—21no—
374#14273684C2311yescharacteristic
375#14273683—21no—
376#14273683—21no—
377C2×C4⋊Dic59C2311yescharacteristic
378C2×Dic59⋊C4—21no—
379C4⋊C4×D59—21no—
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59C2311yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C2×(C2×D59)⋊C4—21no—
385C2×(C2×D59)⋊C4—21no—
386C2×(C2×D59)⋊C4—21no—
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C2×C4×Dic59—21no—
393#14273661C2311yescharacteristic
394#14273660C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273660C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273659C2311yescharacteristic
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#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273650C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273649C2311yescharacteristic
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#14273638C2311yescharacteristic
442#14273637C2311yescharacteristic
443C8×Dic59C2311yescharacteristic
444C2×#41×C59C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×Q16×C59C2311yescharacteristic
447C2×Q16×C59C2311yescharacteristic
448C2×SD16×C59C2311yescharacteristic
449C2×M16×C59C2311yescharacteristic
450C2×M16×C59C2311yescharacteristic
451C4⋊Q8×C59C2311yescharacteristic
452C4⋊Q8×C59C2311yescharacteristic
453#125×C59—21no—
454#123×C59—21no—
455#123×C59—21no—
456C22⋊Q8×C59—21no—
457C22⋊Q8×C59—21no—
458C22⋊Q8×C59C2311yescharacteristic
459C22⋊Q8×C59C2311yescharacteristic
460C22⋊Q8×C59C2311yescharacteristic
461C22⋊Q8×C59C2311yescharacteristic
462#121×C59—21no—
463C4×Q8×C59C2311yescharacteristic
464C4×D4×C59—21no—
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467C2×C4⋊C4×C59—21no—
468C2×C4⋊C4×C59C2311yescharacteristic
469C2×C4⋊C4×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×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
486C4×C8×C59C2311yescharacteristic
487C23×D59—21no—
488C23×D59—21no—
489C23×D59—21no—
490C23×D59C2×D411yescharacteristic
491#41×C59—22no—
492#41×C59—22no—
493#41×C59—41no—
494#41×C59—41no—
495C2×Q8×C59—21no—
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×C59—21no—
508C22×C4×C59C2411yescharacteristic
509C22×C4×C59C2411yescharacteristic
510C2×C22⋊D59—21no—
511C2×C22⋊D59—21no—
512C2×C22⋊D59—21no—
513C2×C22⋊D59—21no—
514C2×C22⋊D59—21no—
515C2×C22⋊D59C2×D411yescharacteristic
516C2×C22⋊D59C2×D411yescharacteristic
517C2×C22⋊D59C2×D411yescharacteristic
518C2×C22⋊D59C2×D411yescharacteristic
519C22×Dic59—21no—
520C22×Dic59—21no—
521C22×Dic59—21no—
522C22×Dic59C2×D411yescharacteristic
523#11745689—22no—
524#11745689—22no—
525#11745689—22no—
526#11745689—22no—
527#11745689—41no—
528#11745689—41no—
529Q8×D59—22no—
530Q8×D59—22no—
531Q8×D59—22no—
532Q8×D59—22no—
533#11745687—22no—
534#11745687—41no—
535#11745687—44no—
536D4×D59—22no—
537D4×D59—22no—
538D4×D59—41no—
539D4×D59—44no—
540D4×D59—44no—
541D4×D59—44no—
542D4×D59#4114yes—
543#11745685—22no—
544#11745685—22no—
545#11745685—22no—
546#11745685—41no—
547#11745685—44no—
548#11745685—44no—
549C2×D236—22no—
550C2×D236—21no—
551C2×D236—21no—
552C2×D236—21no—
553C2×D236—21no—
554C2×D236—21no—
555C2×D236—41no—
556C2×D236—44no—
557C2×D236C2×D411yescharacteristic
558C2×D236C2×D411yescharacteristic
559C2×D236C2411yescharacteristic
560C2×D236C2411yescharacteristic
561C2×C4×D59—22no—
562C2×C4×D59—22no—
563C2×C4×D59—21no—
564C2×C4×D59—21no—
565C2×C4×D59—21no—
566C2×C4×D59—21no—
567C2×C4×D59—21no—
568C2×C4×D59—21no—
569C2×C4×D59—21no—
570C2×C4×D59—21no—
571C2×C4×D59—21no—
572C2×C4×D59—21no—
573C2×C4×D59—44no—
574C2×C4×D59C2×D411yescharacteristic
575C2×C4×D59C2×D411yescharacteristic
576C2×C4×D59C2411yescharacteristic
577C2×C4×D59C2411yescharacteristic
578C2×C4×D59C2411yescharacteristic
579C2×Dic118—21no—
580C2×Dic118—21no—
581C2×Dic118—21no—
582C2×Dic118C2×D411yescharacteristic
583C2×Dic118C2411yescharacteristic
584C2×Dic118C2411yescharacteristic
585Q16×C59—41no—
586Q16×C59—41no—
587SD16×C59—22no—
588M16×C59—41no—
589M16×C59—41no—
590C2×C8×C59C2411yescharacteristic
591C2×C8×C59C2411yescharacteristic
592C2×C8×C59C2411yescharacteristic
593C2×C8×C59C2411yescharacteristic
594C4⋊C4×C59—21no—
595C4⋊C4×C59—21no—
596C4⋊C4×C59—21no—
597C4⋊C4×C59—21no—
598C4⋊C4×C59—21no—
599C4⋊C4×C59—21no—
600C4⋊C4×C59—21no—
601C4⋊C4×C59—21no—
602C4⋊C4×C59—21no—
603C4⋊C4×C59—21no—
604C4⋊C4×C59C2×D411yescharacteristic
605C4⋊C4×C59C2411yescharacteristic
606C4⋊C4×C59C2411yescharacteristic
607C4⋊C4×C59C2411yescharacteristic
608C4⋊C4×C59C2411yescharacteristic
609C22⋊C4×C59—21no—
610C22⋊C4×C59—21no—
611C22⋊C4×C59—21no—
612C22⋊C4×C59—21no—
613C22⋊C4×C59—21no—
614C22⋊C4×C59C2×D411yescharacteristic
615C22⋊C4×C59C2×D411yescharacteristic
616C42×C59—21no—
617C42×C59C2411yescharacteristic
618C22⋊Dic59—21no—
619C22⋊Dic59—21no—
620C22⋊Dic59—21no—
621C22⋊Dic59—21no—
622C22⋊Dic59—21no—
623C22⋊Dic59C2×D411yescharacteristic
624C22⋊Dic59C2×D411yescharacteristic
625#11745672—41no—
626#11745672—41no—
627#11745672—41no—
628#11745671—22no—
629#11745671—41no—
630#11745670—22no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658C4⋊Dic59—21no—
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668C4⋊Dic59C2411yescharacteristic
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
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⋊C4C2×D411yescharacteristic
687Dic59⋊C4C2×D411yescharacteristic
688Dic59⋊C4C2×D411yescharacteristic
689Dic59⋊C4C2×D411yescharacteristic
690C4×Dic59—21no—
691C4×Dic59—21no—
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×Dic59C2411yescharacteristic
701#11745664—41no—
702C2×C59⋊C8—41no—
703C2×C59⋊C8C2411yescharacteristic
704C2×C59⋊C8C2411yescharacteristic
705C2×C59⋊C8C2411yescharacteristic
706C2×C59⋊C8C2411yescharacteristic
707Dic236—41no—
708#11745660—22no—
709#11745660—41no—
710#11745659—22no—
711#11745659—22no—
712#11745659—41no—
713C8×D59—22no—
714C8×D59—22no—
715C8×D59—41no—
716C8×D59—41no—
717C8×D59—41no—
718C23×C59—21no—
719C23×C59C22×D411yescharacteristic
720C23×C59C22×D411yescharacteristic
721C22×D59—21no—
722C22×D59—22no—
723C22×D59—24no—
724C22×D59—21no—
725C22×D59—41no—
726C22×D59—41no—
727C22×D59—42no—
728C22×D59—42no—
729C22×D59—81no—
730C22×D59—81no—
731C22×D59—81no—
732C22×D59—81no—
733C22×D59—81no—
734C22×D59—81no—
735C22×D59C22×D411yescharacteristic
736C22×D59C22×D411yescharacteristic
737C22×D59C22×D411yescharacteristic
738Q8×C59—21no—
739Q8×C59—21no—
740Q8×C59—21no—
741Q8×C59—21no—
742Q8×C59—21no—
743Q8×C59—21no—
744Q8×C59—81no—
745D4×C59—21no—
746D4×C59—41no—
747D4×C59—42no—
748D4×C59—42no—
749D4×C59C2×#4112yes—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—42no—
762C2×C4×C59—42no—
763C2×C4×C59—81no—
764C2×C4×C59—81no—
765C2×C4×C59—81no—
766C2×C4×C59C22×D411yescharacteristic
767C2×C4×C59C22×D411yescharacteristic
768C2×C4×C59C22×D411yescharacteristic
769C2×C4×C59C22×D411yescharacteristic
770C2×C4×C59C2511yescharacteristic
771C22⋊D59—22no—
772C22⋊D59—22no—
773C22⋊D59—24no—
774C22⋊D59—41no—
775C22⋊D59—41no—
776C22⋊D59—42no—
777C22⋊D59—42no—
778C22⋊D59—42no—
779C22⋊D59—81no—
780C2×Dic59—22no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—42no—
788C2×Dic59—42no—
789C2×Dic59—81no—
790C2×Dic59C22×D411yescharacteristic
791C2×Dic59C22×D411yescharacteristic
792C2×Dic59C22×D411yescharacteristic
793C2×Dic59C22×D411yescharacteristic
794C2×Dic59C22×D411yescharacteristic
795D236—22no—
796D236—21no—
797D236—21no—
798D236—21no—
799D236—41no—
800D236—42no—
801D236—42no—
802D236—42no—
803D236—42no—
804D236—81no—
805D236C2×#4112yes—
806C4×D59—22no—
807C4×D59—21no—
808C4×D59—21no—
809C4×D59—21no—
810C4×D59—21no—
811C4×D59—22no—
812C4×D59—42no—
813C4×D59—42no—
814C4×D59—42no—
815C4×D59—42no—
816C4×D59—42no—
817C4×D59—42no—
818C4×D59—81no—
819C4×D59—81no—
820C4×D59—81no—
821C4×D59—81no—
822C4×D59C2×#4112yes—
823C4×D59H(5,𝔽2)12yes—
824Dic118—22no—
825Dic118—21no—
826Dic118—21no—
827Dic118—21no—
828Dic118—21no—
829Dic118—42no—
830Dic118—42no—
831Dic118—81no—
832C8×C59—21no—
833C8×C59—21no—
834C8×C59—21no—
835C8×C59—21no—
836C59⋊C8—21no—
837C59⋊C8—21no—
838C59⋊C8—21no—
839C59⋊C8—21no—
840#61188—591nomaximal, Sylow
841C22×C59—21no—
842C22×C59—21no—
843C22×C59—21no—
844C22×C59—21no—
845C22×C59—21no—
846C22×C59—22no—
847C22×C59—21no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59C23×D411yescharacteristic
851C2×D59—21no—
852C2×D59—21no—
853C2×D59—21no—
854C2×D59—21no—
855C2×D59—21no—
856C2×D59—21no—
857C2×D59—21no—
858C2×D59—21no—
859C2×D59—22no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—82no—
866C2×D59—84no—
867C2×D59—162no—
868C2×D59—162no—
869C2×D59#54612yes—
870C4×C59—21no—
871C4×C59—21no—
872C4×C59—21no—
873C4×C59—21no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59—41no—
881C4×C59C22×#4111yescharacteristic
882C4×C59C2×H(5,𝔽2)11yescharacteristic
883Dic59—21no—
884Dic59—21no—
885Dic59—21no—
886Dic59—21no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891Dic59—41no—
892Dic59—41no—
893Dic59#54612yes—
894#3495—591no—
895#3485—591no—
896#3331—591no—
897#3331D5911yescharacteristic, complemented
898#3323—591no—
899#3323—591no—
900#3315—591no—
901#3315—591no—
902#3315—591no—
903#3315—591no—
904#3314—591no—
905#3314—591no—
906#3311—591no—
907#3311—591no—
908#3302—591no—
909#3302—591no—
910#3296—591no—
911#3296—591no—
912#3137—591no—
913#3097—591no—
914#3091—591no—
915#3081—591no—
916#3059—591no—
917#3056—591no—
918#3044—591no—
919#3009—591no—
920C2×#452—591no—
921#2949—591no—
922#2933—591no—
923#2897—591no—
924#2896—591no—
925C2×C59—42no—
926C2×C59—41no—
927C2×C59—41no—
928C2×C59C2×#54611yescharacteristic
929C2×C59#358411yescharacteristic
930C2×C59#358611yescharacteristic
931D59—22no—
932D59—41no—
933D59—41no—
934D59—42no—
935D59—81no—
936C2×H(5,𝔽2)—591no—
937C22×#41—591no—
938C2×#137—591no—
939C22×Q16—591no—
940C22×SD16—591no—
941C2×#131—591no—
942C22×M16—591no—
943#556—591no—
944#556—591no—
945#554—591no—
946#554C2×D5911yescharacteristic, complemented
947#552—591no—
948#552—591no—
949#552—591no—
950#552—591no—
951#552—1181no—
952#552—1181no—
953#551—1181no—
954#551—1181no—
955#547—591no—
956#547—591no—
957#547—591no—
958#547—1181no—
959#547—1181no—
960#547C2×D5911yescharacteristic
961#546—591no—
962#546—591no—
963#546—591no—
964#546—591no—
965#546—1181no—
966#546—1181no—
967#544—591no—
968#542—1181no—
969#541—1181no—
970#536—591no—
971#536—591no—
972#536—591no—
973#534—1181no—
974#534—1181no—
975#533—1181no—
976#529—1181no—
977#525—591no—
978#525—591no—
979C2×#123—1181no—
980C2×#123—1181no—
981C2×C22⋊Q8—591no—
982#520—591no—
983#519—591no—
984#518—591no—
985C2×#117—591no—
986#491—591no—
987#491—591no—
988#489—591no—
989#489—591no—
990#488—591no—
991#488—591no—
992#487—591no—
993#487C2×D5911yescharacteristic, complemented
994#485—591no—
995#485—591no—
996#485—591no—
997#485—591no—
998#485—591no—
999#485—591no—
1000#484—591no—
1001#484—591no—
1002#484—591no—
1003#483—591no—
1004#483C2×D5911yescharacteristic, complemented
1005#483C2×D5911yescharacteristic, complemented
1006#482—591no—
1007#482—591no—
1008#481—591no—
1009#480—591no—
1010#478—591no—
1011#478—591no—
1012#478—591no—
1013#478—591no—
1014#476—591no—
1015#476C2×D5911yescharacteristic, complemented
1016#474—591no—
1017#474—591no—
1018#470—591no—
1019#470—591no—
1020#470—591no—
1021#470—591no—
1022#470C2×D5911yescharacteristic, complemented
1023#470C2×D5911yescharacteristic, complemented
1024#468—591no—
1025#468—591no—
1026#467—591no—
1027#467—591no—
1028#467—591no—
1029#467—591no—
1030#467—591no—
1031#467—591no—
1032#465—591no—
1033#465—591no—
1034#464—591no—
1035#464—591no—
1036#464—591no—
1037#464—591no—
1038#462—591no—
1039#462—591no—
1040#462—591no—
1041#462C2×D5911yescharacteristic, complemented
1042#452—591no—
1043#452—591no—
1044#452—591no—
1045#452—591no—
1046#452—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#452C2×D5911yescharacteristic, complemented
1053#452C2×D5911yescharacteristic, complemented
1054#450—591no—
1055#450—591no—
1056#450—591no—
1057#450—591no—
1058#440—591no—
1059#440—591no—
1060#440—591no—
1061#440—591no—
1062C4×SD16—591no—
1063C4×SD16—591no—
1064C4×SD16—591no—
1065C4×SD16C2×D5911yescharacteristic, complemented
1066#436—591no—
1067#436C2×D5911yescharacteristic, complemented
1068#435—591no—
1069#435—591no—
1070#435—591no—
1071#435—591no—
1072C8×D4—591no—
1073C8×D4—591no—
1074#428—591no—
1075#427—591no—
1076#427—591no—
1077#424—591no—
1078#419—591no—
1079#419—591no—
1080#419—591no—
1081#418—591no—
1082#418—591no—
1083#418—591no—
1084#418—591no—
1085#417—591no—
1086#417—591no—
1087#417—591no—
1088#417—591no—
1089#417—591no—
1090#417C2×D5911yescharacteristic, complemented
1091#417C2×D5911yescharacteristic, complemented
1092#416—591no—
1093#416—591no—
1094#416—591no—
1095#416—591no—
1096#416—591no—
1097#416—591no—
1098#416—591no—
1099#416—591no—
1100C2×#103—591no—
1101C2×#102—591no—
1102C2×#102—591no—
1103C2×#102—591no—
1104#408—591no—
1105C2×C22⋊C8—591no—
1106#405—591no—
1107C59#6118811yescharacteristic, complemented, Sylow
1108H(5,𝔽2)—1184no—
1109H(5,𝔽2)—2362no—
1110C2×#41—591no—
1111C2×#41—591no—
1112C2×#41—591no—
1113C2×#41—591no—
1114C2×#41—591no—
1115C2×#41—591no—
1116C2×#41—1181no—
1117C2×#41—1181no—
1118C2×#41—1181no—
1119C2×#41—1184no—
1120C2×#41—2362no—
1121C2×#41C22×D5911yescharacteristic
1122C2×#41C22×D5911yescharacteristic
1123C22×Q8—591no—
1124C22×Q8—591no—
1125C22×D4—591no—
1126C22×D4—591no—
1127C22×D4—591no—
1128C22×D4—1181no—
1129C22×D4—1181no—
1130C22×D4—1181no—
1131C22×D4—1181no—
1132C23×C4—591no—
1133C23×C4—1181no—
1134#137—2362no—
1135C2×Q16—591no—
1136C2×Q16—591no—
1137C2×Q16—591no—
1138C2×Q16—591no—
1139C2×Q16—2362no—
1140C2×Q16C22×D5911yescharacteristic
1141C2×Q16C22×D5911yescharacteristic
1142C2×SD16—591no—
1143C2×SD16—591no—
1144C2×SD16—591no—
1145C2×SD16—591no—
1146C2×SD16—591no—
1147C2×SD16—1184no—
1148C2×SD16C22×D5911yescharacteristic
1149#131—2362no—
1150C2×M16—591no—
1151C2×M16—591no—
1152C2×M16—591no—
1153C2×M16—591no—
1154C2×M16—2362no—
1155C2×M16C22×D5911yescharacteristic
1156C2×M16C22×D5911yescharacteristic
1157C22×C8—591no—
1158C22×C8—591no—
1159C22×C8—591no—
1160C22×C8—591no—
1161C22×C8—591no—
1162C22×C8—591no—
1163C4⋊Q8—591no—
1164C4⋊Q8—591no—
1165C4⋊Q8—1181no—
1166C4⋊Q8—1181no—
1167C4⋊Q8—1181no—
1168C4⋊Q8C22×D5911yescharacteristic
1169C4⋊Q8C22×D5911yescharacteristic
1170#126—1181no—
1171#126—1181no—
1172#126—1181no—
1173#126—1181no—
1174#126—1181no—
1175#126—1181no—
1176#126—1181no—
1177#126—1181no—
1178#125—21no—
1179#125—591no—
1180#125—591no—
1181#125—1181no—
1182#125—1181no—
1183#125—1181no—
1184#125—1181no—
1185#125—1181no—
1186#125—1181no—
1187#124—591no—
1188#124—591no—
1189#124—1181no—
1190#124—1181no—
1191#124—1181no—
1192#124—1181no—
1193#123—21no—
1194#123—21no—
1195#123—591no—
1196#123—591no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209#123—1181no—
1210#123—1181no—
1211#123—1181no—
1212#123—1181no—
1213#123—1181no—
1214#123—1181no—
1215#123—1181no—
1216#123—1181no—
1217#123—1181no—
1218C22⋊Q8—21no—
1219C22⋊Q8—21no—
1220C22⋊Q8—591no—
1221C22⋊Q8—591no—
1222C22⋊Q8—591no—
1223C22⋊Q8—591no—
1224C22⋊Q8—591no—
1225C22⋊Q8—591no—
1226C22⋊Q8—591no—
1227C22⋊Q8—591no—
1228C22⋊Q8—591no—
1229C22⋊Q8—591no—
1230C22⋊Q8—591no—
1231C22⋊Q8—591no—
1232C22⋊Q8—1181no—
1233C22⋊Q8—1181no—
1234C22⋊Q8—1181no—
1235C22⋊Q8—1181no—
1236C22⋊Q8—1181no—
1237C22⋊Q8—1181no—
1238C22⋊Q8—1181no—
1239C22⋊Q8—1181no—
1240C22⋊Q8C22×D5911yescharacteristic
1241C22⋊Q8C22×D5911yescharacteristic
1242C22⋊Q8C22×D5911yescharacteristic
1243C22⋊Q8C22×D5911yescharacteristic
1244#121—21no—
1245#121—591no—
1246#121—591no—
1247#121—591no—
1248#121—591no—
1249#121—1181no—
1250#121—1181no—
1251#121—1181no—
1252#121—1181no—
1253#121—1181no—
1254#121—1181no—
1255#121—1181no—
1256#120—591no—
1257#120—591no—
1258#120—1181no—
1259#120—1181no—
1260#120—1181no—
1261#120—1181no—
1262#120—1181no—
1263C4×Q8—591no—
1264C4×Q8—591no—
1265C4×Q8—591no—
1266C4×Q8—1181no—
1267C4×Q8—1181no—
1268C4×Q8—1181no—
1269C4×Q8—1181no—
1270C4×Q8—1181no—
1271C4×Q8C22×D5911yescharacteristic
1272C4×D4—21no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—591no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4C22×D5911yescharacteristic
1288C4×D4C22×D5911yescharacteristic
1289#117—591no—
1290#117—591no—
1291#117—591no—
1292#117—591no—
1293#117—591no—
1294#117—591no—
1295#117—591no—
1296#117—591no—
1297#117—1181no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117—1181no—
1304#117—1181no—
1305C2×C4⋊C4—21no—
1306C2×C4⋊C4—591no—
1307C2×C4⋊C4—591no—
1308C2×C4⋊C4—591no—
1309C2×C4⋊C4—1181no—
1310C2×C4⋊C4—1181no—
1311C2×C4⋊C4—1181no—
1312C2×C4⋊C4—1181no—
1313C2×C4⋊C4C22×D5911yescharacteristic
1314C2×C4⋊C4C22×D5911yescharacteristic
1315C2×C22⋊C4—1181no—
1316C2×C22⋊C4—1181no—
1317C2×C22⋊C4—1181no—
1318C2×C22⋊C4—1181no—
1319C2×C22⋊C4—1181no—
1320C2×C22⋊C4—1181no—
1321C2×C22⋊C4—1181no—
1322C2×C22⋊C4—1181no—
1323C2×C42—1181no—
1324#107—591no—
1325#107—591no—
1326#107—591no—
1327#107—591no—
1328#107—591no—
1329#107—591no—
1330#106—591no—
1331#106—591no—
1332#106—591no—
1333#106C22×D5911yescharacteristic
1334#106C22×D5911yescharacteristic
1335#106C22×D5911yescharacteristic
1336C4⋊C8—591no—
1337C4⋊C8—591no—
1338C4⋊C8—591no—
1339C4⋊C8C22×D5911yescharacteristic
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103—591no—
1346#103—591no—
1347#103—591no—
1348#103—591no—
1349#103—591no—
1350#103—591no—
1351#103—591no—
1352#103—591no—
1353#103—591no—
1354#103—591no—
1355#103C22×D5911yescharacteristic
1356#103C22×D5911yescharacteristic
1357#103C22×D5911yescharacteristic
1358#103C22×D5911yescharacteristic
1359#103C22×D5911yescharacteristic
1360#103C22×D5911yescharacteristic
1361#103C22×D5911yescharacteristic
1362#102—591no—
1363#102—591no—
1364#102—591no—
1365#102—591no—
1366#102—591no—
1367#102—591no—
1368#102—591no—
1369#102—591no—
1370#102—591no—
1371#102—591no—
1372#102—591no—
1373#102—591no—
1374#102—591no—
1375#102—591no—
1376#102—591no—
1377#102C22×D5911yescharacteristic
1378#102C22×D5911yescharacteristic
1379#102C22×D5911yescharacteristic
1380C22⋊C8—591no—
1381C22⋊C8—591no—
1382C22⋊C8—591no—
1383C22⋊C8—591no—
1384C22⋊C8—591no—
1385C22⋊C8—591no—
1386C22⋊C8C22×D5911yescharacteristic
1387C22⋊C8C22×D5911yescharacteristic
1388#97—591no—
1389#97—591no—
1390C4×C8—591no—
1391C4×C8C22×D5911yescharacteristic
1392C24—591no—
1393C24—1181no—
1394C24—1181no—
1395C24—1181no—
1396#41—22no—
1397#41—22no—
1398#41—41no—
1399#41—41no—
1400#41—1182no—
1401#41—1182no—
1402#41—1182no—
1403#41—1182no—
1404#41—1182no—
1405#41—1182no—
1406#41—1182no—
1407#41—1182no—
1408#41—2361no—
1409#41—2364no—
1410#41—2364no—
1411#41—2361no—
1412#41—2364no—
1413#41—2361no—
1414#41—2361no—
1415C2×Q8—21no—
1416C2×Q8—591no—
1417C2×Q8—591no—
1418C2×Q8—591no—
1419C2×Q8—1181no—
1420C2×Q8—1181no—
1421C2×Q8—1181no—
1422C2×Q8—1182no—
1423C2×Q8—1182no—
1424C2×Q8—1182no—
1425C2×Q8—1182no—
1426C2×Q8C23×D5911yescharacteristic
1427C2×Q8C23×D5911yescharacteristic
1428C2×Q8C23×D5911yescharacteristic
1429C2×D4—21no—
1430C2×D4—21no—
1431C2×D4—594no—
1432C2×D4—591no—
1433C2×D4—591no—
1434C2×D4—591no—
1435C2×D4—591no—
1436C2×D4—591no—
1437C2×D4—591no—
1438C2×D4—591no—
1439C2×D4—591no—
1440C2×D4—1182no—
1441C2×D4—1181no—
1442C2×D4—1181no—
1443C2×D4—1181no—
1444C2×D4—1181no—
1445C2×D4—1182no—
1446C2×D4—1181no—
1447C2×D4—1181no—
1448C2×D4—1182no—
1449C2×D4—1181no—
1450C2×D4—1181no—
1451C2×D4—1181no—
1452C2×D4—1181no—
1453C2×D4—2361no—
1454C2×D4—2364no—
1455C2×D4—2361no—
1456C2×D4—2364no—
1457C2×D4—2364no—
1458C2×D4—2364no—
1459C2×D4D4×D5911yescharacteristic
1460C2×D4C23×D5911yescharacteristic
1461C22×C4—21no—
1462C22×C4—21no—
1463C22×C4—21no—
1464C22×C4—21no—
1465C22×C4—21no—
1466C22×C4—591no—
1467C22×C4—591no—
1468C22×C4—591no—
1469C22×C4—591no—
1470C22×C4—591no—
1471C22×C4—591no—
1472C22×C4—1182no—
1473C22×C4—1182no—
1474C22×C4—1181no—
1475C22×C4—1181no—
1476C22×C4—1181no—
1477C22×C4—1181no—
1478C22×C4—1181no—
1479C22×C4—1181no—
1480C22×C4—1181no—
1481C22×C4—1181no—
1482C22×C4—1181no—
1483C22×C4—1181no—
1484C22×C4—1181no—
1485C22×C4—1181no—
1486C22×C4—1181no—
1487C22×C4—2364no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490Q16—41no—
1491Q16—41no—
1492Q16—2361no—
1493Q16—2361no—
1494Q16—2361no—
1495Q16—2361no—
1496SD16—22no—
1497SD16—1182no—
1498SD16—1182no—
1499SD16—1182no—
1500SD16—2361no—
1501SD16—2361no—
1502M16—41no—
1503M16—41no—
1504M16—1182no—
1505M16—1182no—
1506M16—2361no—
1507M16—2361no—
1508C2×C8—591no—
1509C2×C8—591no—
1510C2×C8—591no—
1511C2×C8—591no—
1512C2×C8—1182no—
1513C2×C8—1182no—
1514C2×C8—2361no—
1515C2×C8—2361no—
1516C2×C8—2361no—
1517C2×C8—2361no—
1518C2×C8C23×D5911yescharacteristic
1519C2×C8C23×D5911yescharacteristic
1520C2×C8C23×D5911yescharacteristic
1521C2×C8C23×D5911yescharacteristic
1522C4⋊C4—21no—
1523C4⋊C4—21no—
1524C4⋊C4—21no—
1525C4⋊C4—21no—
1526C4⋊C4—21no—
1527C4⋊C4—21no—
1528C4⋊C4—21no—
1529C4⋊C4—21no—
1530C4⋊C4—21no—
1531C4⋊C4—21no—
1532C4⋊C4—591no—
1533C4⋊C4—591no—
1534C4⋊C4—591no—
1535C4⋊C4—591no—
1536C4⋊C4—591no—
1537C4⋊C4—591no—
1538C4⋊C4—591no—
1539C4⋊C4—591no—
1540C4⋊C4—591no—
1541C4⋊C4—1181no—
1542C4⋊C4—1181no—
1543C4⋊C4—1181no—
1544C4⋊C4—1181no—
1545C4⋊C4—1181no—
1546C4⋊C4—1181no—
1547C4⋊C4—1181no—
1548C4⋊C4—1181no—
1549C4⋊C4—1181no—
1550C4⋊C4—1181no—
1551C4⋊C4—1181no—
1552C4⋊C4—1181no—
1553C4⋊C4—1181no—
1554C4⋊C4—1181no—
1555C4⋊C4—1181no—
1556C4⋊C4—1181no—
1557C4⋊C4—1181no—
1558C4⋊C4—1181no—
1559C4⋊C4—1181no—
1560C4⋊C4—1181no—
1561C4⋊C4—1181no—
1562C4⋊C4—1181no—
1563C4⋊C4—1181no—
1564C4⋊C4D4×D5911yescharacteristic
1565C4⋊C4C23×D5911yescharacteristic
1566C4⋊C4C23×D5911yescharacteristic
1567C4⋊C4C23×D5911yescharacteristic
1568C4⋊C4C23×D5911yescharacteristic
1569C22⋊C4—21no—
1570C22⋊C4—21no—
1571C22⋊C4—21no—
1572C22⋊C4—21no—
1573C22⋊C4—21no—
1574C22⋊C4—591no—
1575C22⋊C4—591no—
1576C22⋊C4—591no—
1577C22⋊C4—591no—
1578C22⋊C4—591no—
1579C22⋊C4—591no—
1580C22⋊C4—591no—
1581C22⋊C4—591no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4—1181no—
1588C22⋊C4—1181no—
1589C22⋊C4—1181no—
1590C22⋊C4—1181no—
1591C22⋊C4—1181no—
1592C22⋊C4—1181no—
1593C22⋊C4—1181no—
1594C22⋊C4—1181no—
1595C22⋊C4—1181no—
1596C22⋊C4—1181no—
1597C22⋊C4—1181no—
1598C22⋊C4—1181no—
1599C22⋊C4—1181no—
1600C22⋊C4—1181no—
1601C22⋊C4—1181no—
1602C22⋊C4—1181no—
1603C22⋊C4—1181no—
1604C22⋊C4—1181no—
1605C22⋊C4—1181no—
1606C22⋊C4—1181no—
1607C22⋊C4—1181no—
1608C22⋊C4D4×D5911yescharacteristic
1609C22⋊C4D4×D5911yescharacteristic
1610C42—21no—
1611C42—591no—
1612C42—1181no—
1613C42—1181no—
1614C42—1181no—
1615C42—1181no—
1616C42—1181no—
1617C42—1181no—
1618C42—1181no—
1619C42—1181no—
1620C42—1181no—
1621C42—1181no—
1622C42C23×D5911yescharacteristic
1623C23—21no—
1624C23—591no—
1625C23—591no—
1626C23—591no—
1627C23—1182no—
1628C23—1184no—
1629C23—1181no—
1630C23—1181no—
1631C23—4721no—
1632C23—4721no—
1633C23—4721no—
1634C23—4721no—
1635C23—4721no—
1636C23—4721no—
1637C23—2361no—
1638C23—2361no—
1639C23—2362no—
1640C23—2362no—
1641C23C2×D4×D5911yescharacteristic
1642C23C2×D4×D5911yescharacteristic
1643Q8—21no—
1644Q8—21no—
1645Q8—21no—
1646Q8—21no—
1647Q8—21no—
1648Q8—21no—
1649Q8—81no—
1650Q8—1182no—
1651Q8—1181no—
1652Q8—1181no—
1653Q8—1181no—
1654Q8—1181no—
1655Q8—4721no—
1656Q8—2362no—
1657Q8—2362no—
1658D4—21no—
1659D4—41no—
1660D4—42no—
1661D4—42no—
1662D4—592no—
1663D4—1182no—
1664D4—1184no—
1665D4—1182no—
1666D4—1182no—
1667D4—1181no—
1668D4—1181no—
1669D4—1181no—
1670D4—4721no—
1671D4—4721no—
1672D4—2361no—
1673D4—2362no—
1674D4—2362no—
1675D4—2362no—
1676D4—2362no—
1677D4—2361no—
1678D4—2361no—
1679D4—2362no—
1680D4—2362no—
1681D4—2362no—
1682D4#41×D5912yes—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—42no—
1695C2×C4—42no—
1696C2×C4—81no—
1697C2×C4—81no—
1698C2×C4—81no—
1699C2×C4—591no—
1700C2×C4—592no—
1701C2×C4—592no—
1702C2×C4—591no—
1703C2×C4—591no—
1704C2×C4—591no—
1705C2×C4—591no—
1706C2×C4—1182no—
1707C2×C4—1182no—
1708C2×C4—1182no—
1709C2×C4—1181no—
1710C2×C4—1181no—
1711C2×C4—1181no—
1712C2×C4—1181no—
1713C2×C4—1181no—
1714C2×C4—1181no—
1715C2×C4—1181no—
1716C2×C4—1181no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—4721no—
1720C2×C4—4721no—
1721C2×C4—4721no—
1722C2×C4—4721no—
1723C2×C4—4721no—
1724C2×C4—2362no—
1725C2×C4—2362no—
1726C2×C4—2362no—
1727C2×C4—2362no—
1728C2×C4—2362no—
1729C2×C4—2362no—
1730C2×C4—2362no—
1731C2×C4—2362no—
1732C2×C4C2×D4×D5911yescharacteristic
1733C2×C4C2×D4×D5911yescharacteristic
1734C2×C4C2×D4×D5911yescharacteristic
1735C2×C4C2×D4×D5911yescharacteristic
1736C2×C4C24×D5911yescharacteristic
1737C8—21no—
1738C8—21no—
1739C8—21no—
1740C8—21no—
1741C8—1181no—
1742C8—1181no—
1743C8—1181no—
1744C8—1181no—
1745C22—21no—
1746C22—21no—
1747C22—22no—
1748C22—21no—
1749C22—21no—
1750C22—21no—
1751C22—21no—
1752C22—41no—
1753C22—41no—
1754C22—592no—
1755C22—1181no—
1756C22—1181no—
1757C22—1181no—
1758C22—1181no—
1759C22—1182no—
1760C22—1181no—
1761C22—1181no—
1762C22—1181no—
1763C22—1181no—
1764C22—9442no—
1765C22—9442no—
1766C22—4724no—
1767C22—4722no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22—2361no—
1772C22—2361no—
1773C22C22×D4×D5911yescharacteristic
1774C4—21no—
1775C4—21no—
1776C4—21no—
1777C4—21no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—592no—
1786C4—1181no—
1787C4—1181no—
1788C4—1181no—
1789C4—1181no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C4C2×#41×D5911yescharacteristic
1797C4H(5,𝔽2)×D5911yescharacteristic
1798C2—41no—
1799C2—41no—
1800C2—42no—
1801C2—1182no—
1802C2—4721no—
1803C2—2361no—
1804C2—2361no—
1805C2—2362no—
1806C2#546×D5911yescharacteristic
1807C2#2143886811yescharacteristic
1808C2#2143887911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3331C2
socleC22×C59C23×D4
prime radical#21437735C2
hypercenter#3331D59
hypocenterC59#61188
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3331

Complements

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

NH ≅ G/Ntype
1. #21437844C2semidirect
3. #21436410C2semidirect
4. #21436314C2semidirect
5. #21436305C2semidirect
6. #21436199C2semidirect
7. #21436193C2semidirect
8. #21436192C2semidirect
9. #21436187C2semidirect
10. #21436178C2semidirect
11. #21436171C2semidirect
12. #21436129C2semidirect
13. #21436127C2semidirect
14. #21436012C2semidirect
15. #21436006C2semidirect
16. #21435936C2semidirect
17. #21435929C2semidirect
18. #21434456C2semidirect
19. #21434058C2semidirect
20. #21434010C2semidirect
21. #21433922C2semidirect
22. #21433749C2semidirect
23. #21433725C2semidirect
24. #21433621C2semidirect
25. #21433370C2semidirect
26. #452×D59C2semidirect
27. #21432950C2semidirect
28. #21432825C2semidirect
29. #21432620C2semidirect
30. #21432612C2semidirect
31. C59×#3331C2semidirect
35. C2×Q16×D59C22semidirect
38. C2×M16×D59C22semidirect
39. #16838126C22semidirect
40. #16838123C22semidirect
41. #16838107C22semidirect
42. #16838094C22semidirect
43. #16838093C22semidirect
44. #16838092C22semidirect
45. #16838087C22semidirect
61. #16838029C22semidirect
75. C22⋊Q8×D59C22semidirect
77. #16837878C22semidirect
79. C2×#14273685C22semidirect
80. #16837770C22semidirect
81. #16837769C22semidirect
82. #16837764C22semidirect
83. #16837763C22semidirect
84. #16837758C22semidirect
85. #16837757C22semidirect
86. #16837751C22semidirect
87. #16837746C22semidirect
88. #16837744C22semidirect
89. #16837741C22semidirect
90. #16837741C22semidirect
91. #16837741C22semidirect
92. #16837740C22semidirect
93. #16837737C22semidirect
94. #16837736C22semidirect
95. #16837735C22semidirect
96. #16837734C22semidirect
97. #16837728C22semidirect
98. #16837728C22semidirect
99. #16837721C22semidirect
100. #16837715C22semidirect
101. #16837704C22semidirect
102. #16837703C22semidirect
103. #16837702C22semidirect
104. #16837701C22semidirect
105. #16837691C22semidirect
106. #16837680C22semidirect
107. #16837679C22semidirect
108. #16837661C22semidirect
109. #16837660C22semidirect
110. #16837658C22semidirect
111. #16837657C22semidirect
112. #16837650C22semidirect
113. #16837648C22semidirect
114. #16837642C22semidirect
115. #16837642C22semidirect
116. #16837642C22semidirect
117. #16837641C22semidirect
118. #16837641C22semidirect
119. #16837640C22semidirect
120. #16837634C22semidirect
121. #16837632C22semidirect
122. #16837627C22semidirect
123. #16837626C22semidirect
124. #16837625C22semidirect
125. #16837624C22semidirect
126. #16837611C22semidirect
127. #16837610C22semidirect
128. #16837609C22semidirect
129. #16837567C22semidirect
130. #16837567C22semidirect
131. #16837566C22semidirect
132. #16837565C22semidirect
133. #16837564C22semidirect
134. #16837564C22semidirect
135. #16837563C22semidirect
136. #16837563C22semidirect
137. #16837562C22semidirect
138. #16837561C22semidirect
139. #16837555C22semidirect
140. #16837554C22semidirect
141. #16837552C22semidirect
142. #16837551C22semidirect
143. #16837505C22semidirect
144. #16837502C22semidirect
145. #16837500C22semidirect
146. #16837499C22semidirect
147. C4×#11745660C22semidirect
148. SD16×Dic59C22semidirect
149. #16837489C22semidirect
150. #16837477C22semidirect
151. #16837474C22semidirect
152. #16837472C22semidirect
153. #16837471C22semidirect
154. #16837471C22semidirect
155. C8×D236C22semidirect
156. (C22⋊D59)⋊C8C22semidirect
157. #16837441C22semidirect
158. #16837437C22semidirect
159. #16837437C22semidirect
160. #16837427C22semidirect
161. #16837409C22semidirect
162. #16837409C22semidirect
163. #16837409C22semidirect
164. #16837408C22semidirect
167. #16837405C22semidirect
168. #16837404C22semidirect
169. #16837403C22semidirect
171. #16837402C22semidirect
172. #16837401C22semidirect
173. #16837398C22semidirect
176. #16837397C22semidirect
177. #16837397C22semidirect
178. #16837397C22semidirect
179. #16837395C22semidirect
180. #16837395C22semidirect
181. #103×D59C22semidirect
182. C2×#14273647C22semidirect
184. #102×D59C22semidirect
186. C22⋊C8×D59C22semidirect
187. #16837356C22semidirect
188. C59×#554C22semidirect
190. C59×#487C22semidirect
191. C59×#483C22semidirect
192. C59×#483C22semidirect
193. C59×#476C22semidirect
194. C59×#470C22semidirect
195. C59×#470C22semidirect
196. C59×#462C22semidirect
197. C59×#452C22semidirect
198. C59×#452C22semidirect
199. C4×SD16×C59C22semidirect
200. C59×#436C22semidirect
201. C59×#417C22semidirect
202. C59×#417C22semidirect
897. #3331D59semidirect
946. #554C2×D59semidirect
993. #487C2×D59semidirect
1004. #483C2×D59semidirect
1005. #483C2×D59semidirect
1015. #476C2×D59semidirect
1022. #470C2×D59semidirect
1023. #470C2×D59semidirect
1041. #462C2×D59semidirect
1052. #452C2×D59semidirect
1053. #452C2×D59semidirect
1065. C4×SD16C2×D59semidirect
1067. #436C2×D59semidirect
1090. #417C2×D59semidirect
1091. #417C2×D59semidirect
1107. C59#61188semidirect

Maximal subgroups

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

subgroupindex
#214378442
#214377352
#214364102
#214363142
#214363052
#214361992
#214361932
#214361922
#214361872
#214361782
#214361712
#214361292
#214361272
#214360122
#214360062
#214359362
#214359292
#214344562
#214340582
#214340102
#214339222
#214337492
#214337252
#214336212
#214333702
#452×D592
#214329502
#214328252
#214326202
#214326122
C59×#33312
#6118859