Finite Group Databasebeta

← #29473912

Subgroups — #29473912

Order 15104.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438125C211yesmaximal, characteristic, complemented
2#548×D59C211yesmaximal, characteristic, complemented
3#21436351C211yesmaximal, characteristic, complemented
4#21436349C211yesmaximal, characteristic, complemented
5#21436277C211yesmaximal, characteristic, complemented
6#21436275C211yesmaximal, characteristic, complemented
7#21436202C211yesmaximal, characteristic, complemented
8#21436200C211yesmaximal, characteristic, complemented
9#21436005C211yesmaximal, characteristic, complemented
10#21436003C211yesmaximal, characteristic, complemented
11#21435802C211yesmaximal, characteristic, complemented
12#21435798C211yesmaximal, characteristic, complemented
13#21435723C211yesmaximal, characteristic, complemented
14#21435679C211yesmaximal, characteristic, complemented
15#21435675C211yesmaximal, characteristic, complemented
16#21435589C211yesmaximal, characteristic, complemented
17#21435585C211yesmaximal, characteristic, complemented
18#21435081C211yesmaximal, characteristic, complemented
19#21435056C211yesmaximal, characteristic, complemented
20#21434927C211yesmaximal, characteristic, complemented
21#21434892C211yesmaximal, characteristic, complemented
22#21434859C211yesmaximal, characteristic, complemented
23#21434850C211yesmaximal, characteristic, complemented
24#21434266C211yesmaximal, characteristic, complemented
25#21434125C211yesmaximal, characteristic, complemented
26#21433344C211yesmaximal, characteristic, complemented
27#21433328C211yesmaximal, characteristic, complemented
28#21433317C211yesmaximal, characteristic, complemented
29#448×D59C211yesmaximal, characteristic, complemented
30#21433128C211yesmaximal, characteristic, complemented
31C59×#3275C211yesmaximal, characteristic, complemented
32C2×#41×D59C2211yescharacteristic, complemented
33C22×Q8×D59C2211yescharacteristic, complemented
34C2×#14273757C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273750C2211yescharacteristic, complemented
37C2×#14273748C2211yescharacteristic, complemented
38C2×SD16×D59C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40#16838116C2211yescharacteristic, complemented
41#16838110C2211yescharacteristic, complemented
42#16838102C2211yescharacteristic, complemented
43#16838098C2211yescharacteristic, complemented
44#16838097—21no—
45#16838071C2211yescharacteristic, complemented
46#16838064C2211yescharacteristic, complemented
47#16838063C2211yescharacteristic, complemented
48#16838062—21no—
49#16838062C2211yescharacteristic
50#16838061—21no—
51#16838061C2211yescharacteristic, complemented
52#16838060—21no—
53#16838060C2211yescharacteristic, complemented
54#16838059C2211yescharacteristic
55#16838058—21no—
56#16838058C2211yescharacteristic, complemented
57#16838049—21no—
58#16838045C2211yescharacteristic, complemented
59#16838042—21no—
60D4×C22⋊D59C2211yescharacteristic, complemented
61#16838034—21no—
62#16838002—21no—
63#16837988—21no—
64#16837987—21no—
65#16837949C2211yescharacteristic
66#16837931C2211yescharacteristic
67#124×D59—21no—
68#124×D59C2211yescharacteristic, complemented
69#16837915C2211yescharacteristic
70#16837909C2211yescharacteristic
71C22⋊Q8×D59—21no—
72C22⋊Q8×D59C2211yescharacteristic, complemented
73C2×#14273698C2211yescharacteristic
74#121×D59—21no—
75#121×D59C2211yescharacteristic
76#121×D59C2211yescharacteristic, complemented
77#16837875—21no—
78C4×Q8×D59C2211yescharacteristic, complemented
79C4×D4×D59—21no—
80C4×D4×D59C2211yescharacteristic
81#16837790C2211yescharacteristic, complemented
82#16837788C2211yescharacteristic, complemented
83#16837784C2211yescharacteristic, complemented
84#16837763C2211yescharacteristic, complemented
85#16837760C2211yescharacteristic, complemented
86#16837757C2211yescharacteristic, complemented
87#16837756C2211yescharacteristic, complemented
88#16837746C2211yescharacteristic, complemented
89#16837742C2211yescharacteristic, complemented
90#16837736C2211yescharacteristic, complemented
91#16837733C2211yescharacteristic, complemented
92#16837730C2211yescharacteristic, complemented
93#16837727C2211yescharacteristic, complemented
94#16837723C2211yescharacteristic, complemented
95#16837722C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837719C2211yescharacteristic
98#16837719C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic, complemented
100#16837710C2211yescharacteristic, complemented
101#16837709C2211yescharacteristic, complemented
102#16837686C2211yescharacteristic, complemented
103#16837685C2211yescharacteristic, complemented
104#16837658C2211yescharacteristic, complemented
105#16837655C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837653C2211yescharacteristic, complemented
108#16837650C2211yescharacteristic, complemented
109#16837648C2211yescharacteristic, complemented
110#16837637C2211yescharacteristic, complemented
111#16837635C2211yescharacteristic, complemented
112#16837634C2211yescharacteristic, complemented
113#16837630C2211yescharacteristic, complemented
114#16837630C2211yescharacteristic, complemented
115#16837628C2211yescharacteristic, complemented
116#16837628C2211yescharacteristic, complemented
117#16837628C2211yescharacteristic, complemented
118#16837626C2211yescharacteristic, complemented
119#16837622C2211yescharacteristic, complemented
120#16837621C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic, complemented
123#16837617C2211yescharacteristic, complemented
124#16837615C2211yescharacteristic, complemented
125#16837614C2211yescharacteristic, complemented
126#16837601C2211yescharacteristic, complemented
127#16837600C2211yescharacteristic, complemented
128#16837567C2211yescharacteristic, complemented
129#16837563C2211yescharacteristic, complemented
130#16837562C2211yescharacteristic, complemented
131#16837556C2211yescharacteristic, complemented
132#16837556C2211yescharacteristic, complemented
133#16837556C2211yescharacteristic, complemented
134#16837556C2211yescharacteristic, complemented
135#16837553C2211yescharacteristic, complemented
136#16837551C2211yescharacteristic, complemented
137#16837549C2211yescharacteristic, complemented
138#16837547C2211yescharacteristic, complemented
139#16837547C2211yescharacteristic, complemented
140#16837546C2211yescharacteristic, complemented
141#16837546C2211yescharacteristic, complemented
142#16837544C2211yescharacteristic, complemented
143#16837544C2211yescharacteristic, complemented
144#16837543C2211yescharacteristic, complemented
145#16837542C2211yescharacteristic, complemented
146#16837542C2211yescharacteristic, complemented
147#16837541C2211yescharacteristic, complemented
148#16837540C2211yescharacteristic, complemented
149#16837539C2211yescharacteristic
150#16837539C2211yescharacteristic
151#16837539C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837539C2211yescharacteristic, complemented
155#16837537C2211yescharacteristic, complemented
156#16837537C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837509C2211yescharacteristic, complemented
161#16837506C2211yescharacteristic, complemented
162#16837503C2211yescharacteristic, complemented
163#16837499C2211yescharacteristic, complemented
164C4×#11745660C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166C4×#11745670C2211yescharacteristic, complemented
167#16837480C2211yescharacteristic, complemented
168#16837476C2211yescharacteristic, complemented
169#16837476C2211yescharacteristic, complemented
170#16837471C2211yescharacteristic, complemented
171#16837471C2211yescharacteristic, complemented
172C8×D236C2211yescharacteristic, complemented
173#16837467C2211yescharacteristic, complemented
174#16837458C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837412C2211yescharacteristic, complemented
177#16837411C2211yescharacteristic, complemented
178#16837404C2211yescharacteristic, complemented
179#16837403C2211yescharacteristic, complemented
180#16837397C2211yescharacteristic, complemented
181#16837395C2211yescharacteristic, complemented
182#103×D59C2211yescharacteristic, complemented
183#103×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837365C2211yescharacteristic, complemented
186C22⋊C8×D59C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×#137×C59C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
190C59×#548C2211yescharacteristic, complemented
191C59×#546C2211yescharacteristic, complemented
192C59×#495C2211yescharacteristic, complemented
193C59×#470C2211yescharacteristic, complemented
194C59×#469C2211yescharacteristic, complemented
195C59×#464C2211yescharacteristic, complemented
196C59×#463C2211yescharacteristic, complemented
197C59×#452C2211yescharacteristic, complemented
198C59×#450C2211yescharacteristic, complemented
199C59×#449C2211yescharacteristic, complemented
200C59×#448C2211yescharacteristic, complemented
201C4×SD16×C59C2211yescharacteristic, complemented
202C59×#436C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×#11745687C2311yescharacteristic
210#41×D59—42no—
211#41×D59—42no—
212C22×Dic118—21no—
213C22×Dic118C2311yescharacteristic
214C2×Q8×D59—21no—
215C2×Q8×D59—21no—
216C2×Q8×D59—42no—
217C2×Q8×D59—42no—
218C2×Q8×D59C2311yescharacteristic
219C2×Q8×D59C2311yescharacteristic
220C2×Q8×D59C2311yescharacteristic
221C2×Q8×D59C2311yescharacteristic
222C22×C22⋊D59—21no—
223C22×C22⋊D59—21no—
224C2×D4×D59—21no—
225C2×D4×D59—21no—
226C2×D4×D59—21no—
227C2×D4×D59D411yescharacteristic
228C2×D4×D59C2311yescharacteristic
229C2×D4×D59C2311yescharacteristic
230C22×C4×D59—21no—
231C22×C4×D59—21no—
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234#14273757—42no—
235#14273753—42no—
236#14273750—42no—
237#14273748—42no—
238C2×#11745672C2311yescharacteristic
239C2×#11745672C2311yescharacteristic
240C2×#11745660C2311yescharacteristic
241C2×#11745660C2311yescharacteristic
242C2×#11745670C2311yescharacteristic
243C2×#11745670C2311yescharacteristic
244C2×#11745670C2311yescharacteristic
245C2×#11745670C2311yescharacteristic
246C2×#11745671C2311yescharacteristic
247C2×#11745671C2311yescharacteristic
248C2×#11745671C2311yescharacteristic
249SD16×D59—42no—
250SD16×D59—42no—
251C2×D472C2311yescharacteristic
252C2×#11745669C2311yescharacteristic
253C2×#11745669C2311yescharacteristic
254C2×#11745669C2311yescharacteristic
255C2×#11745664C2311yescharacteristic
256C2×#11745664C2311yescharacteristic
257C2×C8×D59C2311yescharacteristic
258C2×C8×D59C2311yescharacteristic
259C2×C8×D59C2311yescharacteristic
260C2×C8×D59C2311yescharacteristic
261#14273726C2311yescharacteristic
262#14273723—21no—
263#14273723C2311yescharacteristic
264#14273722—21no—
265#14273720—21no—
266#14273720—21no—
267#14273719C2311yescharacteristic
268#14273717—21no—
269#14273716—21no—
270#14273716C2311yescharacteristic
271#14273715—21no—
272#14273715C2311yescharacteristic
273#14273714—21no—
274#14273714—21no—
275#14273714C2311yescharacteristic
276#14273713—21no—
277#14273713—21no—
278#14273713—21no—
279#14273713—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273713—21no—
284#14273712—21no—
285#14273710—21no—
286#14273709—21no—
287#14273709—21no—
288#14273709—21no—
289#14273708—21no—
290#14273707—21no—
291#14273707—21no—
292#14273707C2311yescharacteristic
293#14273706—21no—
294#14273706C2311yescharacteristic
295#14273705—21no—
296#14273705—21no—
297#14273705—21no—
298#14273704—21no—
299#14273704—21no—
300#14273704—21no—
301#14273704—21no—
302#14273703—21no—
303#14273703C2311yescharacteristic
304#14273703C2311yescharacteristic
305#14273703C2311yescharacteristic
306#14273702—21no—
307#14273702C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273701—21no—
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273701C2311yescharacteristic
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273700—21no—
321#14273699—21no—
322#14273699—21no—
323#14273699—21no—
324#14273699—21no—
325#14273699—21no—
326#14273699—21no—
327#14273699—21no—
328#14273698—21no—
329#14273698—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698C2311yescharacteristic
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic
336#14273698C2311yescharacteristic
337#14273698C2311yescharacteristic
338#14273697—21no—
339#14273697—21no—
340#14273696—21no—
341#14273695—21no—
342#14273695—21no—
343Q8×Dic59C2311yescharacteristic
344Q8×Dic59C2311yescharacteristic
345C4×Dic118—21no—
346C4×Dic118C2311yescharacteristic
347#14273692—21no—
348#14273692C2311yescharacteristic
349C4×D236—21no—
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352D4×Dic59—21no—
353D4×Dic59D411yescharacteristic
354D4×Dic59C2311yescharacteristic
355#14273689—21no—
356#14273689—21no—
357#14273689D411yescharacteristic
358C4×C22⋊D59—21no—
359C4×C22⋊D59—21no—
360C4×C22⋊D59—21no—
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(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4D411yescharacteristic
374(C22⋊D59)⋊C4D411yescharacteristic
375#14273686C2311yescharacteristic
376#14273685C2311yescharacteristic
377#14273683—21no—
378#14273683—21no—
379C2×C4⋊Dic59C2311yescharacteristic
380C4⋊C4×D59—21no—
381C4⋊C4×D59—21no—
382C4⋊C4×D59D411yescharacteristic
383C4⋊C4×D59C2311yescharacteristic
384C4⋊C4×D59C2311yescharacteristic
385C2×C22⋊Dic59—21no—
386C22⋊C4×D59—21no—
387C22⋊C4×D59—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59D411yescharacteristic
393C22⋊C4×D59D411yescharacteristic
394C42×D59—21no—
395C42×D59C2311yescharacteristic
396#14273661C2311yescharacteristic
397#14273660C2311yescharacteristic
398#14273659C2311yescharacteristic
399#14273659C2311yescharacteristic
400#14273658C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403C4⋊(C59⋊C8)C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273651C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273651C2311yescharacteristic
417#14273651C2311yescharacteristic
418#14273651C2311yescharacteristic
419#14273650C2311yescharacteristic
420#14273650C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273649C2311yescharacteristic
423#14273649C2311yescharacteristic
424#14273649C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273647C2311yescharacteristic
431#14273647C2311yescharacteristic
432C22⋊(C59⋊C8)C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435(C2×D59)⋊C8C2311yescharacteristic
436(C2×D59)⋊C8C2311yescharacteristic
437(C2×D59)⋊C8C2311yescharacteristic
438(C2×D59)⋊C8C2311yescharacteristic
439(C2×D59)⋊C8C2311yescharacteristic
440(C2×D59)⋊C8C2311yescharacteristic
441(C2×D59)⋊C8C2311yescharacteristic
442#14273637C2311yescharacteristic
443#14273637C2311yescharacteristic
444C4×C59⋊C8C2311yescharacteristic
445C2×#41×C59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C22×Q8×C59C2311yescharacteristic
448C22×D4×C59C2311yescharacteristic
449#137×C59—42no—
450AGL(1,ℤ/8)×C59—42no—
451C2×Q16×C59C2311yescharacteristic
452C2×Q16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×SD16×C59C2311yescharacteristic
456C2×SD16×C59C2311yescharacteristic
457C2×SD16×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×M16×C59C2311yescharacteristic
461C2×M16×C59C2311yescharacteristic
462#124×C59—21no—
463#124×C59C2311yescharacteristic
464#124×C59C2311yescharacteristic
465#123×C59—21no—
466C22⋊Q8×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468C22⋊Q8×C59C2311yescharacteristic
469#121×C59—21no—
470#121×C59—21no—
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474C4×Q8×C59C2311yescharacteristic
475C4×D4×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C2×C22⋊C4×C59—21no—
479#106×C59C2311yescharacteristic
480C4⋊C8×C59C2311yescharacteristic
481#103×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#103×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487C22⋊C8×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C4×C8×C59C2311yescharacteristic
490C24×C59—21no—
491C23×D59—21no—
492C23×D59—21no—
493C23×D59C2×D411yescharacteristic
494C23×D59C2×D411yescharacteristic
495#41×C59—22no—
496#41×C59—41no—
497#41×C59—41no—
498#41×C59—41no—
499C2×Q8×C59—21no—
500C2×Q8×C59—22no—
501C2×Q8×C59—41no—
502C2×Q8×C59C2411yescharacteristic
503C2×Q8×C59C2411yescharacteristic
504C2×Q8×C59C2411yescharacteristic
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—41no—
511C2×D4×C59—41no—
512C2×D4×C59C2×D411yescharacteristic
513C2×D4×C59C2411yescharacteristic
514C2×D4×C59C2411yescharacteristic
515C2×D4×C59C2411yescharacteristic
516C22×C4×C59—21no—
517C22×C4×C59—21no—
518C22×C4×C59—21no—
519C22×C4×C59—21no—
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C2×C22⋊D59—21no—
523C2×C22⋊D59—21no—
524C2×C22⋊D59—21no—
525C2×C22⋊D59—21no—
526C2×C22⋊D59—21no—
527C2×C22⋊D59—21no—
528C2×C22⋊D59—21no—
529C2×C22⋊D59—21no—
530C2×C22⋊D59—21no—
531C2×C22⋊D59—21no—
532C2×C22⋊D59—21no—
533C2×C22⋊D59—21no—
534C2×C22⋊D59—21no—
535C2×C22⋊D59—21no—
536C2×C22⋊D59—21no—
537C2×C22⋊D59—44no—
538C2×C22⋊D59—82no—
539C2×C22⋊D59C2×D411yescharacteristic
540C2×C22⋊D59C2×D411yescharacteristic
541C22×Dic59—21no—
542C22×Dic59—21no—
543C22×Dic59—21no—
544C22×Dic59—21no—
545C22×Dic59C2×D411yescharacteristic
546C22×Dic59C2×D411yescharacteristic
547#11745689—22no—
548#11745689—41no—
549#11745689—41no—
550#11745689—41no—
551Q8×D59—22no—
552Q8×D59—22no—
553Q8×D59—22no—
554Q8×D59—22no—
555Q8×D59—41no—
556Q8×D59—41no—
557Q8×D59—41no—
558Q8×D59—41no—
559Q8×D59—44no—
560Q8×D59—44no—
561#11745687—22no—
562#11745687—41no—
563#11745687—44no—
564D4×D59—41no—
565D4×D59—41no—
566D4×D59—41no—
567D4×D59—41no—
568D4×D59—44no—
569D4×D59—42no—
570D4×D59—44no—
571D4×D59—82no—
572#11745685—22no—
573#11745685—41no—
574#11745685—44no—
575#11745685—82no—
576C2×D236—21no—
577C2×D236—21no—
578C2×D236—21no—
579C2×D236—21no—
580C2×D236C2×D411yescharacteristic
581C2×D236C2411yescharacteristic
582C2×D236C2411yescharacteristic
583C2×C4×D59—21no—
584C2×C4×D59—21no—
585C2×C4×D59—21no—
586C2×C4×D59—21no—
587C2×C4×D59—21no—
588C2×C4×D59—21no—
589C2×C4×D59—21no—
590C2×C4×D59—21no—
591C2×C4×D59—21no—
592C2×C4×D59—21no—
593C2×C4×D59—41no—
594C2×C4×D59—41no—
595C2×C4×D59—41no—
596C2×C4×D59—41no—
597C2×C4×D59—44no—
598C2×C4×D59—44no—
599C2×C4×D59C2×D411yescharacteristic
600C2×C4×D59C2×D411yescharacteristic
601C2×C4×D59C2×D411yescharacteristic
602C2×C4×D59C2×D411yescharacteristic
603C2×C4×D59C2×D411yescharacteristic
604C2×C4×D59C2×D411yescharacteristic
605C2×C4×D59C2411yescharacteristic
606C2×C4×D59C2411yescharacteristic
607C2×C4×D59C2411yescharacteristic
608C2×Dic118—21no—
609C2×Dic118—22no—
610C2×Dic118—21no—
611C2×Dic118—21no—
612C2×Dic118—21no—
613C2×Dic118—21no—
614C2×Dic118—21no—
615C2×Dic118—41no—
616C2×Dic118—44no—
617C2×Dic118C2411yescharacteristic
618C2×Dic118C2411yescharacteristic
619Q16×C59—22no—
620Q16×C59—41no—
621SD16×C59—22no—
622SD16×C59—22no—
623SD16×C59—41no—
624SD16×C59—41no—
625SD16×C59—41no—
626D8×C59—41no—
627D8×C59—41no—
628M16×C59—41no—
629M16×C59—41no—
630C2×C8×C59C2411yescharacteristic
631C2×C8×C59C2411yescharacteristic
632C2×C8×C59C2411yescharacteristic
633C2×C8×C59C2411yescharacteristic
634C4⋊C4×C59—21no—
635C4⋊C4×C59—21no—
636C4⋊C4×C59—21no—
637C4⋊C4×C59C2×D411yescharacteristic
638C4⋊C4×C59C2411yescharacteristic
639C4⋊C4×C59C2411yescharacteristic
640C22⋊C4×C59—21no—
641C22⋊C4×C59—21no—
642C22⋊C4×C59—21no—
643C22⋊C4×C59—21no—
644C22⋊C4×C59—21no—
645C22⋊C4×C59—21no—
646C22⋊C4×C59—21no—
647C22⋊C4×C59—21no—
648C22⋊C4×C59—21no—
649C22⋊C4×C59C2×D411yescharacteristic
650C22⋊C4×C59C2×D411yescharacteristic
651C42×C59—21no—
652C42×C59C2411yescharacteristic
653C22⋊Dic59—21no—
654C22⋊Dic59—21no—
655C22⋊Dic59—21no—
656C22⋊Dic59—21no—
657C22⋊Dic59—21no—
658C22⋊Dic59—21no—
659C22⋊Dic59—21no—
660C22⋊Dic59—21no—
661C22⋊Dic59—21no—
662C22⋊Dic59—21no—
663C22⋊Dic59—21no—
664C22⋊Dic59C2×D411yescharacteristic
665C22⋊Dic59C2×D411yescharacteristic
666#11745672—22no—
667#11745672—41no—
668#11745671—22no—
669#11745671—41no—
670#11745671—41no—
671#11745670—22no—
672#11745670—22no—
673#11745670—41no—
674#11745670—41no—
675#11745669—41no—
676#11745669—41no—
677#11745669—41no—
678(C2×D59)⋊C4—21no—
679(C2×D59)⋊C4—21no—
680(C2×D59)⋊C4—21no—
681(C2×D59)⋊C4—21no—
682(C2×D59)⋊C4—21no—
683(C2×D59)⋊C4—21no—
684(C2×D59)⋊C4—21no—
685(C2×D59)⋊C4—21no—
686(C2×D59)⋊C4—21no—
687(C2×D59)⋊C4—21no—
688(C2×D59)⋊C4—21no—
689(C2×D59)⋊C4—21no—
690(C2×D59)⋊C4—21no—
691(C2×D59)⋊C4—21no—
692(C2×D59)⋊C4—21no—
693(C2×D59)⋊C4C2×D411yescharacteristic
694(C2×D59)⋊C4C2×D411yescharacteristic
695(C2×D59)⋊C4C2×D411yescharacteristic
696(C2×D59)⋊C4C2×D411yescharacteristic
697C4⋊Dic59—21no—
698C4⋊Dic59—21no—
699C4⋊Dic59—21no—
700C4⋊Dic59—21no—
701C4⋊Dic59C2×D411yescharacteristic
702C4⋊Dic59C2411yescharacteristic
703C4⋊Dic59C2411yescharacteristic
704C4⋊Dic59C2411yescharacteristic
705C4⋊Dic59C2411yescharacteristic
706Dic59⋊C4—21no—
707Dic59⋊C4—21no—
708Dic59⋊C4—21no—
709Dic59⋊C4—21no—
710Dic59⋊C4—21no—
711Dic59⋊C4—21no—
712Dic59⋊C4—21no—
713Dic59⋊C4—21no—
714Dic59⋊C4—21no—
715Dic59⋊C4—21no—
716Dic59⋊C4—21no—
717Dic59⋊C4C2×D411yescharacteristic
718Dic59⋊C4C2×D411yescharacteristic
719C4×Dic59—21no—
720C4×Dic59—21no—
721C4×Dic59—21no—
722C4×Dic59—21no—
723C4×Dic59—21no—
724C4×Dic59—21no—
725C4×Dic59C2×D411yescharacteristic
726C4×Dic59C2×D411yescharacteristic
727C4×Dic59C2411yescharacteristic
728#11745664—41no—
729#11745664—41no—
730C2×C59⋊C8C2411yescharacteristic
731C2×C59⋊C8C2411yescharacteristic
732C2×C59⋊C8C2411yescharacteristic
733C2×C59⋊C8C2411yescharacteristic
734D472—41no—
735#11745660—22no—
736#11745660—41no—
737C8×D59—41no—
738C8×D59—41no—
739C8×D59—41no—
740C8×D59—41no—
741C23×C59—21no—
742C23×C59—21no—
743C23×C59—21no—
744C23×C59—42no—
745C23×C59—81no—
746C23×C59—81no—
747C23×C59C22×D411yescharacteristic
748C23×C59C22×D411yescharacteristic
749C22×D59—22no—
750C22×D59—22no—
751C22×D59—22no—
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—41no—
755C22×D59—41no—
756C22×D59—41no—
757C22×D59—42no—
758C22×D59—42no—
759C22×D59—42no—
760C22×D59—42no—
761C22×D59—81no—
762C22×D59—81no—
763C22×D59C22×D411yescharacteristic
764C22×D59C22×D411yescharacteristic
765C22×D59C22×D411yescharacteristic
766Q8×C59—21no—
767Q8×C59—21no—
768Q8×C59—21no—
769Q8×C59—21no—
770Q8×C59—21no—
771Q8×C59—42no—
772Q8×C59H(5,𝔽2)12yes—
773D4×C59—21no—
774D4×C59—21no—
775D4×C59—21no—
776D4×C59—21no—
777D4×C59—21no—
778D4×C59—21no—
779D4×C59—41no—
780D4×C59—42no—
781D4×C59—42no—
782D4×C59—81no—
783D4×C59—81no—
784D4×C59—81no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—42no—
795C2×C4×C59—42no—
796C2×C4×C59—81no—
797C2×C4×C59—81no—
798C2×C4×C59C22×D411yescharacteristic
799C2×C4×C59C22×D411yescharacteristic
800C2×C4×C59C22×D411yescharacteristic
801C2×C4×C59C22×D411yescharacteristic
802C2×C4×C59C2511yescharacteristic
803C22⋊D59—22no—
804C22⋊D59—41no—
805C22⋊D59—42no—
806C22⋊D59—42no—
807C22⋊D59—42no—
808C22⋊D59—42no—
809C22⋊D59—42no—
810C22⋊D59—42no—
811C22⋊D59—42no—
812C22⋊D59—42no—
813C22⋊D59—42no—
814C22⋊D59—42no—
815C22⋊D59—81no—
816C22⋊D59—81no—
817C22⋊D59—81no—
818C22⋊D59—81no—
819C22⋊D59—81no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—21no—
823C2×Dic59—21no—
824C2×Dic59—21no—
825C2×Dic59—21no—
826C2×Dic59—41no—
827C2×Dic59—41no—
828C2×Dic59—42no—
829C2×Dic59—42no—
830C2×Dic59—42no—
831C2×Dic59—81no—
832C2×Dic59C22×D411yescharacteristic
833C2×Dic59C22×D411yescharacteristic
834C2×Dic59C22×D411yescharacteristic
835C2×Dic59C22×D411yescharacteristic
836C2×Dic59C22×D411yescharacteristic
837D236—22no—
838D236—21no—
839D236—21no—
840D236—21no—
841D236—21no—
842D236—42no—
843D236—42no—
844D236—42no—
845D236—81no—
846C4×D59—24no—
847C4×D59—22no—
848C4×D59—21no—
849C4×D59—21no—
850C4×D59—21no—
851C4×D59—21no—
852C4×D59—21no—
853C4×D59—21no—
854C4×D59—41no—
855C4×D59—41no—
856C4×D59—41no—
857C4×D59—41no—
858C4×D59—41no—
859C4×D59—42no—
860C4×D59—42no—
861C4×D59—42no—
862C4×D59—42no—
863C4×D59—42no—
864C4×D59—42no—
865C4×D59—81no—
866C4×D59—81no—
867C4×D59—81no—
868Dic118—24no—
869Dic118—21no—
870Dic118—21no—
871Dic118—21no—
872Dic118—42no—
873Dic118—42no—
874Dic118—42no—
875Dic118—42no—
876Dic118—81no—
877Dic118H(5,𝔽2)12yes—
878C8×C59—21no—
879C8×C59—21no—
880C8×C59—21no—
881C8×C59—21no—
882C59⋊C8—21no—
883C59⋊C8—21no—
884C59⋊C8—21no—
885C59⋊C8—21no—
886#61594—591nomaximal, Sylow
887C22×C59—21no—
888C22×C59—21no—
889C22×C59—21no—
890C22×C59—21no—
891C22×C59—21no—
892C22×C59—21no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59—41no—
898C22×C59—41no—
899C22×C59—41no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—162no—
903C22×C59C23×D411yescharacteristic
904C2×D59—21no—
905C2×D59—21no—
906C2×D59—21no—
907C2×D59—21no—
908C2×D59—21no—
909C2×D59—21no—
910C2×D59—21no—
911C2×D59—44no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—41no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—82no—
919C2×D59—84no—
920C2×D59—162no—
921C2×D59#57512yes—
922C2×D59#57712yes—
923C4×C59—22no—
924C4×C59—21no—
925C4×C59—21no—
926C4×C59—21no—
927C4×C59—21no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931C4×C59—41no—
932C4×C59C2×H(5,𝔽2)11yescharacteristic
933C4×C59C2×H(5,𝔽2)11yescharacteristic
934Dic59—21no—
935Dic59—22no—
936Dic59—21no—
937Dic59—21no—
938Dic59—21no—
939Dic59—21no—
940Dic59—41no—
941Dic59—41no—
942Dic59—41no—
943Dic59—41no—
944Dic59—41no—
945#3519—591no—
946C2×#548—591no—
947#3326—591no—
948#3326—591no—
949#3321—591no—
950#3321—591no—
951#3316—591no—
952#3316—591no—
953#3301—591no—
954#3301—591no—
955#3282—591no—
956#3282—591no—
957#3275—591no—
958#3275D5911yescharacteristic, complemented
959#3271—591no—
960#3271—591no—
961#3265—591no—
962#3265—591no—
963#3213—591no—
964#3211—591no—
965#3196—591no—
966#3192—591no—
967#3188—591no—
968#3187—591no—
969#3117—591no—
970#3103—591no—
971#3006—591no—
972#3004—591no—
973#3002—591no—
974C2×#448—591no—
975#2974—591no—
976C2×C59—41no—
977C2×C59—41no—
978C2×C59—81no—
979C2×C59—81no—
980C2×C59—81no—
981C2×C59#348411yescharacteristic
982C2×C59C2×#57511yescharacteristic
983C2×C59C2×#57711yescharacteristic
984D59—22no—
985D59—22no—
986D59—41no—
987D59—81no—
988D59—81no—
989C22×#41—591no—
990C23×Q8—591no—
991C2×#137—591no—
992C2×#137C2×D5911yescharacteristic, complemented
993C2×AGL(1,ℤ/8)—591no—
994C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
995C2×#135—591no—
996C2×#135—591no—
997C22×SD16—591no—
998C22×SD16—591no—
999#555—591no—
1000#554—591no—
1001#553—591no—
1002#553—591no—
1003#553—1181no—
1004#550—591no—
1005#548—591no—
1006#548—591no—
1007#548—591no—
1008#548—591no—
1009#548—591no—
1010#548—591no—
1011#548—591no—
1012#548—1181no—
1013#548—1181no—
1014#548—1181no—
1015#548—1181no—
1016#548C2×D5911yescharacteristic, complemented
1017#546—591no—
1018#546—1181no—
1019#546—1181no—
1020#546C2×D5911yescharacteristic, complemented
1021D42—591no—
1022D42—1181no—
1023#540—1181no—
1024#538—1181no—
1025#538—1181no—
1026#532—591no—
1027#529—591no—
1028C2×#124—591no—
1029C2×#124—1181no—
1030#525—591no—
1031#525—591no—
1032C2×C22⋊Q8—591no—
1033C2×C22⋊Q8—1181no—
1034C2×#121—591no—
1035C2×#121—591no—
1036C2×#121—591no—
1037C2×#121—1181no—
1038#518—1181no—
1039C2×C4×Q8—591no—
1040C2×C4×D4—591no—
1041C2×C4×D4—1181no—
1042#496—591no—
1043#496—591no—
1044#495—591no—
1045#495C2×D5911yescharacteristic, complemented
1046#489—591no—
1047#489—591no—
1048#488—591no—
1049#488—591no—
1050#485—591no—
1051#485—591no—
1052#484—591no—
1053#483—591no—
1054#483—591no—
1055#482—591no—
1056#482—591no—
1057#481—591no—
1058#481—591no—
1059#481—591no—
1060#481—591no—
1061#481—591no—
1062#479—591no—
1063#479—591no—
1064#475—591no—
1065#475—591no—
1066#470—591no—
1067#470C2×D5911yescharacteristic, complemented
1068#469—591no—
1069#469—591no—
1070#469—591no—
1071#469C2×D5911yescharacteristic, complemented
1072#468—591no—
1073#468—591no—
1074#466—591no—
1075#466—591no—
1076#465—591no—
1077#465—591no—
1078#465—591no—
1079#465—591no—
1080#465—591no—
1081#465—591no—
1082#464—591no—
1083#464—591no—
1084#464—591no—
1085#464C2×D5911yescharacteristic, complemented
1086#463—591no—
1087#463—591no—
1088#463—591no—
1089#463—591no—
1090#463—591no—
1091#463C2×D5911yescharacteristic, complemented
1092#460—591no—
1093#460—591no—
1094#452—591no—
1095#452—591no—
1096#452—591no—
1097#452C2×D5911yescharacteristic, complemented
1098#451—591no—
1099#451—591no—
1100#451—591no—
1101#451—591no—
1102#450—591no—
1103#450—591no—
1104#450C2×D5911yescharacteristic, complemented
1105#449—591no—
1106#449—591no—
1107#449—591no—
1108#449—591no—
1109#449—591no—
1110#449—591no—
1111#449—591no—
1112#449C2×D5911yescharacteristic, complemented
1113#448—591no—
1114#448—591no—
1115#448—591no—
1116#448—591no—
1117#448—591no—
1118#448—591no—
1119#448—591no—
1120#448—591no—
1121#448—591no—
1122#448—591no—
1123#448—591no—
1124#448C2×D5911yescharacteristic, complemented
1125#447—591no—
1126#447—591no—
1127#447—591no—
1128#447—591no—
1129#447—591no—
1130#441—591no—
1131#441—591no—
1132#440—591no—
1133#440—591no—
1134C4×SD16—591no—
1135C4×SD16—591no—
1136C4×SD16—591no—
1137C4×SD16C2×D5911yescharacteristic, complemented
1138#436—591no—
1139#436C2×D5911yescharacteristic, complemented
1140#435—591no—
1141#435—591no—
1142#435—591no—
1143#435—591no—
1144C8×D4—591no—
1145C8×D4—591no—
1146#432—591no—
1147#431—591no—
1148#419—591no—
1149#419—591no—
1150#417—591no—
1151#417—591no—
1152#416—591no—
1153#416—591no—
1154C2×#103—591no—
1155C2×#103—591no—
1156#407—591no—
1157#407—591no—
1158C2×C22⋊C8—591no—
1159C2×C22⋊C8—591no—
1160C59#6159411yescharacteristic, complemented, Sylow
1161C2×#41—591no—
1162C2×#41—591no—
1163C2×#41—591no—
1164C2×#41—591no—
1165C2×#41—1181no—
1166C2×#41—1181no—
1167C2×#41—1181no—
1168C2×#41—2362no—
1169C2×#41—2362no—
1170C2×#41C22×D5911yescharacteristic
1171C2×#41C22×D5911yescharacteristic
1172C22×Q8—591no—
1173C22×Q8—591no—
1174C22×Q8—591no—
1175C22×Q8—591no—
1176C22×Q8—591no—
1177C22×Q8—1181no—
1178C22×Q8—1181no—
1179C22×Q8—1181no—
1180C22×Q8—2362no—
1181C22×Q8—2362no—
1182C22×Q8C22×D5911yescharacteristic
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—1181no—
1187C22×D4—1181no—
1188C22×D4—1181no—
1189C22×D4—1181no—
1190C22×D4—1181no—
1191C22×D4C22×D5911yescharacteristic
1192C23×C4—591no—
1193C23×C4—591no—
1194C23×C4—1181no—
1195C23×C4—1181no—
1196#137—42no—
1197#137—2362no—
1198AGL(1,ℤ/8)—42no—
1199AGL(1,ℤ/8)—2362no—
1200#135—2362no—
1201#135—2362no—
1202C2×Q16—591no—
1203C2×Q16—591no—
1204C2×Q16C22×D5911yescharacteristic
1205C2×Q16C22×D5911yescharacteristic
1206C2×SD16—591no—
1207C2×SD16—591no—
1208C2×SD16—591no—
1209C2×SD16—591no—
1210C2×SD16—591no—
1211C2×SD16—591no—
1212C2×SD16—591no—
1213C2×SD16—591no—
1214C2×SD16—591no—
1215C2×SD16—2362no—
1216C2×SD16—2362no—
1217C2×SD16C22×D5911yescharacteristic
1218C2×SD16C22×D5911yescharacteristic
1219C2×SD16C22×D5911yescharacteristic
1220C2×SD16C22×D5911yescharacteristic
1221C2×SD16C22×D5911yescharacteristic
1222C2×D8—591no—
1223C2×D8—591no—
1224C2×D8—591no—
1225C2×D8—591no—
1226C2×D8C22×D5911yescharacteristic
1227C2×D8C22×D5911yescharacteristic
1228C2×M16—591no—
1229C2×M16—591no—
1230C2×M16C22×D5911yescharacteristic
1231C2×M16C22×D5911yescharacteristic
1232C22×C8—591no—
1233C22×C8—591no—
1234C22×C8—591no—
1235C22×C8—591no—
1236C4⋊Q8—591no—
1237#127—591no—
1238#127—1181no—
1239#126—1181no—
1240#126—1181no—
1241#126—1181no—
1242#125—591no—
1243#125—1181no—
1244#124—21no—
1245#124—591no—
1246#124—591no—
1247#124—591no—
1248#124—1181no—
1249#124—1181no—
1250#124—1181no—
1251#124—1181no—
1252#124—1181no—
1253#124—1181no—
1254#124—1181no—
1255#124—1181no—
1256#124—1181no—
1257#124—1181no—
1258#124—1181no—
1259#124—1181no—
1260#124C22×D5911yescharacteristic
1261#124C22×D5911yescharacteristic
1262#123—21no—
1263#123—1181no—
1264#123—1181no—
1265#123—1181no—
1266#123—1181no—
1267#123—1181no—
1268#123—1181no—
1269C22⋊Q8—21no—
1270C22⋊Q8—591no—
1271C22⋊Q8—591no—
1272C22⋊Q8—591no—
1273C22⋊Q8—591no—
1274C22⋊Q8—591no—
1275C22⋊Q8—1181no—
1276C22⋊Q8—1181no—
1277C22⋊Q8—1181no—
1278C22⋊Q8—1181no—
1279C22⋊Q8—1181no—
1280C22⋊Q8—1181no—
1281C22⋊Q8—1181no—
1282C22⋊Q8—1181no—
1283C22⋊Q8—1181no—
1284C22⋊Q8—1181no—
1285C22⋊Q8—1181no—
1286C22⋊Q8C22×D5911yescharacteristic
1287C22⋊Q8C22×D5911yescharacteristic
1288#121—21no—
1289#121—21no—
1290#121—591no—
1291#121—591no—
1292#121—591no—
1293#121—591no—
1294#121—591no—
1295#121—591no—
1296#121—591no—
1297#121—591no—
1298#121—591no—
1299#121—591no—
1300#121—591no—
1301#121—1181no—
1302#121—1181no—
1303#121—1181no—
1304#121—1181no—
1305#121—1181no—
1306#121—1181no—
1307#121—1181no—
1308#121—1181no—
1309#121—1181no—
1310#121—1181no—
1311#121—1181no—
1312#121—1181no—
1313#121—1181no—
1314#121—1181no—
1315#121—1181no—
1316#121—1181no—
1317#121—1181no—
1318#121—1181no—
1319#121—1181no—
1320#121—1181no—
1321#121—1181no—
1322#121C22×D5911yescharacteristic
1323#121C22×D5911yescharacteristic
1324#120—21no—
1325#120—1181no—
1326#120—1181no—
1327#120—1181no—
1328#120—1181no—
1329#120—1181no—
1330C4×Q8—591no—
1331C4×Q8—591no—
1332C4×Q8—591no—
1333C4×Q8—591no—
1334C4×Q8—1181no—
1335C4×Q8—1181no—
1336C4×Q8C22×D5911yescharacteristic
1337C4×D4—21no—
1338C4×D4—591no—
1339C4×D4—591no—
1340C4×D4—591no—
1341C4×D4—591no—
1342C4×D4—591no—
1343C4×D4—591no—
1344C4×D4—591no—
1345C4×D4—591no—
1346C4×D4—591no—
1347C4×D4—1181no—
1348C4×D4—1181no—
1349C4×D4—1181no—
1350C4×D4—1181no—
1351C4×D4—1181no—
1352C4×D4—1181no—
1353C4×D4—1181no—
1354C4×D4—1181no—
1355C4×D4—1181no—
1356C4×D4—1181no—
1357C4×D4—1181no—
1358C4×D4—1181no—
1359C4×D4—1181no—
1360C4×D4—1181no—
1361C4×D4—1181no—
1362C4×D4—1181no—
1363C4×D4—1181no—
1364C4×D4C22×D5911yescharacteristic
1365C4×D4C22×D5911yescharacteristic
1366#117—591no—
1367#117—591no—
1368#117—1181no—
1369#117—1181no—
1370C2×C4⋊C4—591no—
1371C2×C4⋊C4—591no—
1372C2×C4⋊C4—591no—
1373C2×C4⋊C4—591no—
1374C2×C4⋊C4—1181no—
1375C2×C4⋊C4—1181no—
1376C2×C22⋊C4—21no—
1377C2×C22⋊C4—591no—
1378C2×C22⋊C4—591no—
1379C2×C22⋊C4—1181no—
1380C2×C22⋊C4—1181no—
1381C2×C22⋊C4—1181no—
1382C2×C22⋊C4—1181no—
1383C2×C22⋊C4—1181no—
1384C2×C22⋊C4—1181no—
1385C2×C22⋊C4—1181no—
1386C2×C42—591no—
1387C2×C42—1181no—
1388#107—591no—
1389#107—591no—
1390#106—591no—
1391#106—591no—
1392#106—591no—
1393#106—591no—
1394#106—591no—
1395#106C22×D5911yescharacteristic
1396C4⋊C8—591no—
1397C4⋊C8—591no—
1398C4⋊C8—591no—
1399C4⋊C8C22×D5911yescharacteristic
1400#103—591no—
1401#103—591no—
1402#103—591no—
1403#103—591no—
1404#103—591no—
1405#103—591no—
1406#103—591no—
1407#103—591no—
1408#103—591no—
1409#103—591no—
1410#103—591no—
1411#103—591no—
1412#103—591no—
1413#103—591no—
1414#103—591no—
1415#103C22×D5911yescharacteristic
1416#103C22×D5911yescharacteristic
1417#103C22×D5911yescharacteristic
1418#102—591no—
1419#102—591no—
1420#102—591no—
1421#102—591no—
1422#102—591no—
1423#102—591no—
1424#102—591no—
1425#102—591no—
1426#102—591no—
1427#102—591no—
1428#102—591no—
1429#102C22×D5911yescharacteristic
1430#102C22×D5911yescharacteristic
1431#102C22×D5911yescharacteristic
1432C22⋊C8—591no—
1433C22⋊C8—591no—
1434C22⋊C8—591no—
1435C22⋊C8—591no—
1436C22⋊C8—591no—
1437C22⋊C8—591no—
1438C22⋊C8—591no—
1439C22⋊C8—591no—
1440C22⋊C8—591no—
1441C22⋊C8—591no—
1442C22⋊C8C22×D5911yescharacteristic
1443C22⋊C8C22×D5911yescharacteristic
1444#97—591no—
1445#97—591no—
1446C4×C8—591no—
1447C4×C8C22×D5911yescharacteristic
1448C24—21no—
1449C24—591no—
1450C24—591no—
1451C24—1181no—
1452C24—1181no—
1453#41—22no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—1182no—
1458#41—1182no—
1459#41—1182no—
1460#41—4722no—
1461#41—2361no—
1462#41—2364no—
1463#41—2361no—
1464#41—2361no—
1465#41—2361no—
1466#41—2361no—
1467#41—2364no—
1468C2×Q8—21no—
1469C2×Q8—22no—
1470C2×Q8—41no—
1471C2×Q8—591no—
1472C2×Q8—591no—
1473C2×Q8—1181no—
1474C2×Q8—1181no—
1475C2×Q8—1181no—
1476C2×Q8—1181no—
1477C2×Q8—1181no—
1478C2×Q8—1182no—
1479C2×Q8—1182no—
1480C2×Q8—1182no—
1481C2×Q8—1181no—
1482C2×Q8—1182no—
1483C2×Q8—1182no—
1484C2×Q8—2361no—
1485C2×Q8—2364no—
1486C2×Q8—2361no—
1487C2×Q8—2361no—
1488C2×Q8—2361no—
1489C2×Q8—2361no—
1490C2×Q8—2364no—
1491C2×Q8—2364no—
1492C2×Q8C23×D5911yescharacteristic
1493C2×Q8C23×D5911yescharacteristic
1494C2×Q8C23×D5911yescharacteristic
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—591no—
1503C2×D4—591no—
1504C2×D4—591no—
1505C2×D4—591no—
1506C2×D4—591no—
1507C2×D4—1181no—
1508C2×D4—1181no—
1509C2×D4—1181no—
1510C2×D4—1181no—
1511C2×D4—1181no—
1512C2×D4—1181no—
1513C2×D4—1181no—
1514C2×D4—1181no—
1515C2×D4—1181no—
1516C2×D4—1181no—
1517C2×D4—1181no—
1518C2×D4—1181no—
1519C2×D4—1181no—
1520C2×D4—1181no—
1521C2×D4—1181no—
1522C2×D4—1181no—
1523C2×D4—1181no—
1524C2×D4—1181no—
1525C2×D4—1181no—
1526C2×D4—4722no—
1527C2×D4—4722no—
1528C2×D4—2361no—
1529C2×D4—2361no—
1530C2×D4—2361no—
1531C2×D4—2361no—
1532C2×D4—2364no—
1533C2×D4—2362no—
1534C2×D4—2364no—
1535C2×D4—2364no—
1536C2×D4D4×D5911yescharacteristic
1537C2×D4C23×D5911yescharacteristic
1538C2×D4C23×D5911yescharacteristic
1539C2×D4C23×D5911yescharacteristic
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—21no—
1543C22×C4—21no—
1544C22×C4—591no—
1545C22×C4—591no—
1546C22×C4—591no—
1547C22×C4—591no—
1548C22×C4—591no—
1549C22×C4—591no—
1550C22×C4—591no—
1551C22×C4—591no—
1552C22×C4—591no—
1553C22×C4—591no—
1554C22×C4—591no—
1555C22×C4—1181no—
1556C22×C4—1181no—
1557C22×C4—1181no—
1558C22×C4—1181no—
1559C22×C4—1181no—
1560C22×C4—1181no—
1561C22×C4—1181no—
1562C22×C4—1181no—
1563C22×C4—1181no—
1564C22×C4—1181no—
1565C22×C4—1181no—
1566C22×C4—1181no—
1567C22×C4—1181no—
1568C22×C4—1181no—
1569C22×C4—2361no—
1570C22×C4—2361no—
1571C22×C4—2361no—
1572C22×C4—2361no—
1573C22×C4—2364no—
1574C22×C4—2364no—
1575C22×C4C23×D5911yescharacteristic
1576C22×C4C23×D5911yescharacteristic
1577Q16—22no—
1578Q16—41no—
1579Q16—1182no—
1580Q16—2361no—
1581SD16—22no—
1582SD16—22no—
1583SD16—41no—
1584SD16—41no—
1585SD16—41no—
1586SD16—1182no—
1587SD16—1182no—
1588SD16—1182no—
1589SD16—1182no—
1590SD16—2361no—
1591SD16—2361no—
1592SD16—2361no—
1593SD16—2361no—
1594SD16—2361no—
1595D8—41no—
1596D8—41no—
1597D8—2361no—
1598D8—2361no—
1599D8—2361no—
1600D8—2361no—
1601M16—41no—
1602M16—41no—
1603M16—2361no—
1604M16—2361no—
1605C2×C8—591no—
1606C2×C8—591no—
1607C2×C8—591no—
1608C2×C8—591no—
1609C2×C8—2361no—
1610C2×C8—2361no—
1611C2×C8—2361no—
1612C2×C8—2361no—
1613C2×C8C23×D5911yescharacteristic
1614C2×C8C23×D5911yescharacteristic
1615C2×C8C23×D5911yescharacteristic
1616C2×C8C23×D5911yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—591no—
1621C4⋊C4—591no—
1622C4⋊C4—591no—
1623C4⋊C4—591no—
1624C4⋊C4—591no—
1625C4⋊C4—591no—
1626C4⋊C4—591no—
1627C4⋊C4—1181no—
1628C4⋊C4—1181no—
1629C4⋊C4—1181no—
1630C4⋊C4—1181no—
1631C4⋊C4—1181no—
1632C4⋊C4—1181no—
1633C4⋊C4—1181no—
1634C4⋊C4—1181no—
1635C4⋊C4—1181no—
1636C4⋊C4—1181no—
1637C4⋊C4—1181no—
1638C4⋊C4—1181no—
1639C4⋊C4—1181no—
1640C4⋊C4—1181no—
1641C4⋊C4—1181no—
1642C4⋊C4D4×D5911yescharacteristic
1643C4⋊C4C23×D5911yescharacteristic
1644C4⋊C4C23×D5911yescharacteristic
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—591no—
1655C22⋊C4—591no—
1656C22⋊C4—591no—
1657C22⋊C4—591no—
1658C22⋊C4—591no—
1659C22⋊C4—591no—
1660C22⋊C4—1181no—
1661C22⋊C4—1181no—
1662C22⋊C4—1181no—
1663C22⋊C4—1181no—
1664C22⋊C4—1181no—
1665C22⋊C4—1181no—
1666C22⋊C4—1181no—
1667C22⋊C4—1181no—
1668C22⋊C4—1181no—
1669C22⋊C4—1181no—
1670C22⋊C4—1181no—
1671C22⋊C4—1181no—
1672C22⋊C4—1181no—
1673C22⋊C4—1181no—
1674C22⋊C4—1181no—
1675C22⋊C4—1181no—
1676C22⋊C4—1181no—
1677C22⋊C4—1181no—
1678C22⋊C4—1181no—
1679C22⋊C4—1181no—
1680C22⋊C4—1181no—
1681C22⋊C4—1181no—
1682C22⋊C4—1181no—
1683C22⋊C4—1181no—
1684C22⋊C4—1181no—
1685C22⋊C4—1181no—
1686C22⋊C4D4×D5911yescharacteristic
1687C22⋊C4D4×D5911yescharacteristic
1688C42—21no—
1689C42—591no—
1690C42—591no—
1691C42—591no—
1692C42—1181no—
1693C42—1181no—
1694C42—1181no—
1695C42—1181no—
1696C42—1181no—
1697C42—1181no—
1698C42C23×D5911yescharacteristic
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—42no—
1703C23—81no—
1704C23—81no—
1705C23—591no—
1706C23—591no—
1707C23—591no—
1708C23—1182no—
1709C23—1182no—
1710C23—1182no—
1711C23—1181no—
1712C23—1181no—
1713C23—4721no—
1714C23—4721no—
1715C23—2361no—
1716C23—2361no—
1717C23—2361no—
1718C23—2362no—
1719C23—2362no—
1720C23—2362no—
1721C23—2362no—
1722C23C2×D4×D5911yescharacteristic
1723C23C2×D4×D5911yescharacteristic
1724Q8—21no—
1725Q8—21no—
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—42no—
1730Q8—592no—
1731Q8—1184no—
1732Q8—1181no—
1733Q8—1181no—
1734Q8—1181no—
1735Q8—4721no—
1736Q8—2362no—
1737Q8—2362no—
1738Q8—2362no—
1739Q8—2362no—
1740Q8#1427377212yes—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—21no—
1745D4—21no—
1746D4—21no—
1747D4—41no—
1748D4—42no—
1749D4—42no—
1750D4—81no—
1751D4—81no—
1752D4—81no—
1753D4—1182no—
1754D4—1182no—
1755D4—1181no—
1756D4—1181no—
1757D4—1181no—
1758D4—1181no—
1759D4—4721no—
1760D4—4721no—
1761D4—4721no—
1762D4—4721no—
1763D4—4721no—
1764D4—4721no—
1765D4—2362no—
1766D4—2362no—
1767D4—2362no—
1768D4—2361no—
1769D4—2362no—
1770D4—2362no—
1771D4—2362no—
1772D4—2362no—
1773D4—2362no—
1774D4—2362no—
1775D4—2362no—
1776D4—2362no—
1777D4—2362no—
1778D4—2362no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—42no—
1789C2×C4—42no—
1790C2×C4—81no—
1791C2×C4—81no—
1792C2×C4—591no—
1793C2×C4—591no—
1794C2×C4—591no—
1795C2×C4—591no—
1796C2×C4—591no—
1797C2×C4—1182no—
1798C2×C4—1184no—
1799C2×C4—1181no—
1800C2×C4—1181no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—4721no—
1812C2×C4—4721no—
1813C2×C4—4721no—
1814C2×C4—4721no—
1815C2×C4—2361no—
1816C2×C4—2361no—
1817C2×C4—2361no—
1818C2×C4—2361no—
1819C2×C4—2361no—
1820C2×C4—2362no—
1821C2×C4—2362no—
1822C2×C4—2362no—
1823C2×C4—2362no—
1824C2×C4—2362no—
1825C2×C4—2362no—
1826C2×C4—2361no—
1827C2×C4—2361no—
1828C2×C4—2362no—
1829C2×C4—2362no—
1830C2×C4—2362no—
1831C2×C4C2×D4×D5911yescharacteristic
1832C2×C4C2×D4×D5911yescharacteristic
1833C2×C4C2×D4×D5911yescharacteristic
1834C2×C4C2×D4×D5911yescharacteristic
1835C2×C4C24×D5911yescharacteristic
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—1181no—
1841C8—1181no—
1842C8—1181no—
1843C8—1181no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—41no—
1851C22—41no—
1852C22—41no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—162no—
1860C22—592no—
1861C22—592no—
1862C22—1181no—
1863C22—1181no—
1864C22—1181no—
1865C22—1181no—
1866C22—1181no—
1867C22—1181no—
1868C22—1181no—
1869C22—9442no—
1870C22—4722no—
1871C22—4724no—
1872C22—2364no—
1873C22—2361no—
1874C22—2361no—
1875C22—2361no—
1876C22—2361no—
1877C22—2361no—
1878C22—2361no—
1879C22C22×D4×D5911yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—22no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—1181no—
1890C4—1181no—
1891C4—1181no—
1892C4—1182no—
1893C4—1181no—
1894C4—1181no—
1895C4—2361no—
1896C4—2361no—
1897C4—2361no—
1898C4—2361no—
1899C4—2361no—
1900C4H(5,𝔽2)×D5911yescharacteristic
1901C4C2×#1427377211yescharacteristic
1902C2—41no—
1903C2—41no—
1904C2—81no—
1905C2—81no—
1906C2—81no—
1907C2—1182no—
1908C2—1182no—
1909C2—4721no—
1910C2—4721no—
1911C2—2361no—
1912C2#2143772411yescharacteristic
1913C2#575×D5911yescharacteristic
1914C2#577×D5911yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3275C2
socleC22×C59C23×D4
hypercenter#3275D59
hypocenterC59#61594
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #21438125C2semidirect
2. #548×D59C2semidirect
3. #21436351C2semidirect
4. #21436349C2semidirect
5. #21436277C2semidirect
6. #21436275C2semidirect
7. #21436202C2semidirect
8. #21436200C2semidirect
9. #21436005C2semidirect
10. #21436003C2semidirect
11. #21435802C2semidirect
12. #21435798C2semidirect
13. #21435723C2semidirect
14. #21435679C2semidirect
15. #21435675C2semidirect
16. #21435589C2semidirect
17. #21435585C2semidirect
18. #21435081C2semidirect
19. #21435056C2semidirect
20. #21434927C2semidirect
21. #21434892C2semidirect
22. #21434859C2semidirect
23. #21434850C2semidirect
24. #21434266C2semidirect
25. #21434125C2semidirect
26. #21433344C2semidirect
27. #21433328C2semidirect
28. #21433317C2semidirect
29. #448×D59C2semidirect
30. #21433128C2semidirect
31. C59×#3275C2semidirect
32. C2×#41×D59C22semidirect
33. C22×Q8×D59C22semidirect
34. C2×#14273757C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273750C22semidirect
37. C2×#14273748C22semidirect
38. C2×SD16×D59C22semidirect
39. C2×SD16×D59C22semidirect
40. #16838116C22semidirect
41. #16838110C22semidirect
42. #16838102C22semidirect
43. #16838098C22semidirect
45. #16838071C22semidirect
46. #16838064C22semidirect
47. #16838063C22semidirect
51. #16838061C22semidirect
53. #16838060C22semidirect
56. #16838058C22semidirect
58. #16838045C22semidirect
60. D4×C22⋊D59C22semidirect
68. #124×D59C22semidirect
72. C22⋊Q8×D59C22semidirect
76. #121×D59C22semidirect
78. C4×Q8×D59C22semidirect
81. #16837790C22semidirect
82. #16837788C22semidirect
83. #16837784C22semidirect
84. #16837763C22semidirect
85. #16837760C22semidirect
86. #16837757C22semidirect
87. #16837756C22semidirect
88. #16837746C22semidirect
89. #16837742C22semidirect
90. #16837736C22semidirect
91. #16837733C22semidirect
92. #16837730C22semidirect
93. #16837727C22semidirect
94. #16837723C22semidirect
95. #16837722C22semidirect
96. #16837722C22semidirect
98. #16837719C22semidirect
99. #16837719C22semidirect
100. #16837710C22semidirect
101. #16837709C22semidirect
102. #16837686C22semidirect
103. #16837685C22semidirect
104. #16837658C22semidirect
105. #16837655C22semidirect
106. #16837653C22semidirect
107. #16837653C22semidirect
108. #16837650C22semidirect
109. #16837648C22semidirect
110. #16837637C22semidirect
111. #16837635C22semidirect
112. #16837634C22semidirect
113. #16837630C22semidirect
114. #16837630C22semidirect
115. #16837628C22semidirect
116. #16837628C22semidirect
117. #16837628C22semidirect
118. #16837626C22semidirect
119. #16837622C22semidirect
120. #16837621C22semidirect
121. #16837619C22semidirect
122. #16837618C22semidirect
123. #16837617C22semidirect
124. #16837615C22semidirect
125. #16837614C22semidirect
126. #16837601C22semidirect
127. #16837600C22semidirect
128. #16837567C22semidirect
129. #16837563C22semidirect
130. #16837562C22semidirect
131. #16837556C22semidirect
132. #16837556C22semidirect
133. #16837556C22semidirect
134. #16837556C22semidirect
135. #16837553C22semidirect
136. #16837551C22semidirect
137. #16837549C22semidirect
138. #16837547C22semidirect
139. #16837547C22semidirect
140. #16837546C22semidirect
141. #16837546C22semidirect
142. #16837544C22semidirect
143. #16837544C22semidirect
144. #16837543C22semidirect
145. #16837542C22semidirect
146. #16837542C22semidirect
147. #16837541C22semidirect
148. #16837540C22semidirect
151. #16837539C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837539C22semidirect
155. #16837537C22semidirect
156. #16837537C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837509C22semidirect
161. #16837506C22semidirect
162. #16837503C22semidirect
163. #16837499C22semidirect
164. C4×#11745660C22semidirect
165. C4×#11745671C22semidirect
166. C4×#11745670C22semidirect
167. #16837480C22semidirect
168. #16837476C22semidirect
169. #16837476C22semidirect
170. #16837471C22semidirect
171. #16837471C22semidirect
172. C8×D236C22semidirect
173. #16837467C22semidirect
174. #16837458C22semidirect
175. #16837453C22semidirect
176. #16837412C22semidirect
177. #16837411C22semidirect
178. #16837404C22semidirect
179. #16837403C22semidirect
180. #16837397C22semidirect
181. #16837395C22semidirect
182. #103×D59C22semidirect
183. #103×D59C22semidirect
184. #16837365C22semidirect
185. #16837365C22semidirect
186. C22⋊C8×D59C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×#137×C59C22semidirect
189. C2×AGL(1,ℤ/8)×C59C22semidirect
190. C59×#548C22semidirect
191. C59×#546C22semidirect
192. C59×#495C22semidirect
193. C59×#470C22semidirect
194. C59×#469C22semidirect
195. C59×#464C22semidirect
196. C59×#463C22semidirect
197. C59×#452C22semidirect
198. C59×#450C22semidirect
199. C59×#449C22semidirect
200. C59×#448C22semidirect
201. C4×SD16×C59C22semidirect
202. C59×#436C22semidirect
958. #3275D59semidirect
992. C2×#137C2×D59semidirect
994. C2×AGL(1,ℤ/8)C2×D59semidirect
1016. #548C2×D59semidirect
1020. #546C2×D59semidirect
1045. #495C2×D59semidirect
1067. #470C2×D59semidirect
1071. #469C2×D59semidirect
1085. #464C2×D59semidirect
1091. #463C2×D59semidirect
1097. #452C2×D59semidirect
1104. #450C2×D59semidirect
1112. #449C2×D59semidirect
1124. #448C2×D59semidirect
1137. C4×SD16C2×D59semidirect
1139. #436C2×D59semidirect
1160. C59#61594semidirect

Maximal subgroups

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

subgroupindex
#214381252
#548×D592
#214363512
#214363492
#214362772
#214362752
#214362022
#214362002
#214360052
#214360032
#214358022
#214357982
#214357232
#214356792
#214356752
#214355892
#214355852
#214350812
#214350562
#214349272
#214348922
#214348592
#214348502
#214342662
#214341252
#214333442
#214333282
#214333172
#448×D592
#214331282
C59×#32752
#6159459