Finite Group Databasebeta

← #29473986

Subgroups — #29473986

Order 15104.

2392 conjugacy classes of subgroups.

The subgroup lattice has 1992 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437852C211yesmaximal, characteristic, complemented
2#21437580C211yesmaximal, characteristic, complemented
3#21436418C211yesmaximal, characteristic, complemented
4#21436394C211yesmaximal, characteristic, complemented
5#21436094C211yesmaximal, characteristic, complemented
6#21436089C211yesmaximal, characteristic, complemented
7#21436062C211yesmaximal, characteristic, complemented
8#21436057C211yesmaximal, characteristic, complemented
9#21435956C211yesmaximal, characteristic, complemented
10#21435902C211yesmaximal, characteristic, complemented
11#21435790C211yesmaximal, characteristic, complemented
12D8×C22⋊D59C211yesmaximal, characteristic, complemented
13#21435714C211yesmaximal, characteristic, complemented
14#21435690C211yesmaximal, characteristic, complemented
15#21435590C211yesmaximal, characteristic, complemented
16#21435587C211yesmaximal, characteristic, complemented
17#21435571C211yesmaximal, characteristic, complemented
18#21435086C211yesmaximal, characteristic, complemented
19#21435028C211yesmaximal, characteristic, complemented
20#21434913C211yesmaximal, characteristic, complemented
21#21434905C211yesmaximal, characteristic, complemented
22#21434862C211yesmaximal, characteristic, complemented
23#21434858C211yesmaximal, characteristic, complemented
24#21434243C211yesmaximal, characteristic, complemented
25#21434153C211yesmaximal, characteristic, complemented
26#21433344C211yesmaximal, characteristic, complemented
27#21433343C211yesmaximal, characteristic, complemented
28C2×#16837544C211yesmaximal, characteristic, complemented
29#449×D59C211yesmaximal, characteristic, complemented
30#21433126C211yesmaximal, characteristic, complemented
31C59×#3264C211yesmaximal, characteristic, complemented
32C2×#14273772—21no—
33C22×#11745687C2211yescharacteristic, complemented
34C2×#41×D59C2211yescharacteristic, complemented
35C2×#14273753C2211yescharacteristic, complemented
36C2×#14273751C2211yescharacteristic, complemented
37C2×#14273751C2211yescharacteristic, complemented
38C22×#11745670C2211yescharacteristic, complemented
39C2×SD16×D59C2211yescharacteristic, complemented
40C2×D8×D59C2211yescharacteristic, complemented
41#16838070C2211yescharacteristic, complemented
42#16838065C2211yescharacteristic, complemented
43#16838061C2211yescharacteristic, complemented
44#16838060C2211yescharacteristic, complemented
45#16838057C2211yescharacteristic, complemented
46#16838056C2211yescharacteristic, complemented
47#16838052C2211yescharacteristic
48#16838052C2211yescharacteristic, complemented
49#16838051C2211yescharacteristic, complemented
50#16838050—21no—
51#16838049—21no—
52#16838047C2211yescharacteristic, complemented
53#16838046—21no—
54#16838042—21no—
55#16838041—21no—
56#16838039—21no—
57#16838039—21no—
58#16838037C2211yescharacteristic, complemented
59D4×C22⋊D59C2211yescharacteristic
60D4×C22⋊D59C2211yescharacteristic, complemented
61D4×C22⋊D59C2211yescharacteristic, complemented
62#16838034—21no—
63#16837981—21no—
64#16837962—21no—
65#16837962—21no—
66#16837951C2211yescharacteristic, complemented
67#16837950C2211yescharacteristic, complemented
68#16837949C2211yescharacteristic, complemented
69#16837947—21no—
70#16837915C2211yescharacteristic, complemented
71#16837912C2211yescharacteristic, complemented
72#16837910—21no—
73#16837908—21no—
74C2×#14273698C2211yescharacteristic, complemented
75C2×#14273698C2211yescharacteristic, complemented
76#121×D59C2211yescharacteristic, complemented
77#121×D59C2211yescharacteristic, complemented
78C4×#11745687C2211yescharacteristic, complemented
79C2×(C22⋊D59)⋊C4—21no—
80C4×D4×D59C2211yescharacteristic
81#16837789C2211yescharacteristic, complemented
82#16837777C2211yescharacteristic, complemented
83#16837773C2211yescharacteristic, complemented
84#16837762C2211yescharacteristic, complemented
85#16837761C2211yescharacteristic, complemented
86#16837751C2211yescharacteristic, complemented
87#16837747C2211yescharacteristic, complemented
88#16837738C2211yescharacteristic, complemented
89#16837736C2211yescharacteristic, complemented
90#16837734C2211yescharacteristic, complemented
91#16837730C2211yescharacteristic, complemented
92#16837728C2211yescharacteristic, complemented
93#16837724C2211yescharacteristic, complemented
94#16837724C2211yescharacteristic, complemented
95#16837724C2211yescharacteristic, complemented
96#16837722C2211yescharacteristic, complemented
97#16837718C2211yescharacteristic, complemented
98#16837716C2211yescharacteristic, complemented
99#16837714C2211yescharacteristic, complemented
100#16837698C2211yescharacteristic, complemented
101#16837692C2211yescharacteristic, complemented
102#16837686C2211yescharacteristic, complemented
103#16837680C2211yescharacteristic, complemented
104#16837654C2211yescharacteristic, complemented
105#16837654C2211yescharacteristic, complemented
106#16837653C2211yescharacteristic, complemented
107#16837648C2211yescharacteristic, complemented
108#16837646C2211yescharacteristic, complemented
109#16837645C2211yescharacteristic, complemented
110#16837645C2211yescharacteristic, complemented
111#16837638C2211yescharacteristic, complemented
112#16837636C2211yescharacteristic, complemented
113#16837635C2211yescharacteristic, complemented
114#16837635C2211yescharacteristic, complemented
115#16837633C2211yescharacteristic, complemented
116#16837630C2211yescharacteristic, complemented
117#16837630C2211yescharacteristic, complemented
118#16837618C2211yescharacteristic, complemented
119#16837617C2211yescharacteristic, complemented
120#16837614C2211yescharacteristic, complemented
121#16837605C2211yescharacteristic, complemented
122#16837605C2211yescharacteristic, complemented
123#16837601C2211yescharacteristic, complemented
124#16837599C2211yescharacteristic, complemented
125#16837595C2211yescharacteristic, complemented
126#16837595C2211yescharacteristic, complemented
127#16837595C2211yescharacteristic, complemented
128#16837554C2211yescharacteristic, complemented
129#16837553C2211yescharacteristic, complemented
130#16837551C2211yescharacteristic, complemented
131#16837550C2211yescharacteristic, complemented
132#16837549C2211yescharacteristic, complemented
133#16837548C2211yescharacteristic, complemented
134#16837548C2211yescharacteristic, complemented
135#16837547C2211yescharacteristic, complemented
136#16837546C2211yescharacteristic, complemented
137#16837546C2211yescharacteristic, complemented
138#16837546C2211yescharacteristic, complemented
139#16837545C2211yescharacteristic, complemented
140#16837544C2211yescharacteristic, complemented
141#16837544C2211yescharacteristic, complemented
142#16837544C2211yescharacteristic, complemented
143#16837544C2211yescharacteristic, complemented
144#16837544C2211yescharacteristic, complemented
145#16837544C2211yescharacteristic, complemented
146#16837544C2211yescharacteristic, complemented
147#16837544C2211yescharacteristic, complemented
148#16837544C2211yescharacteristic, complemented
149#16837544C2211yescharacteristic, complemented
150#16837543C2211yescharacteristic, complemented
151#16837540C2211yescharacteristic, complemented
152#16837539C2211yescharacteristic, complemented
153#16837539C2211yescharacteristic, complemented
154#16837537C2211yescharacteristic, complemented
155#16837536C2211yescharacteristic, complemented
156#16837536C2211yescharacteristic, complemented
157#16837534C2211yescharacteristic, complemented
158#16837534C2211yescharacteristic, complemented
159#16837534C2211yescharacteristic, complemented
160#16837512C2211yescharacteristic, complemented
161#16837504C2211yescharacteristic, complemented
162#16837502C2211yescharacteristic, complemented
163#16837493C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165D8×Dic59C2211yescharacteristic, complemented
166D8×Dic59C2211yescharacteristic, complemented
167#16837478C2211yescharacteristic, complemented
168#16837477C2211yescharacteristic, complemented
169#16837475C2211yescharacteristic, complemented
170#16837474C2211yescharacteristic, complemented
171#16837472C2211yescharacteristic, complemented
172C8×C22⋊D59C2211yescharacteristic, complemented
173(C22⋊D59)⋊C8C2211yescharacteristic, complemented
174#16837457C2211yescharacteristic, complemented
175#16837454C2211yescharacteristic, complemented
176#16837404C2211yescharacteristic, complemented
177#16837403C2211yescharacteristic, complemented
178#16837400C2211yescharacteristic, complemented
179#16837400C2211yescharacteristic, complemented
180C2×#14273652C2211yescharacteristic, complemented
181#103×D59C2211yescharacteristic, complemented
182C2×#14273648C2211yescharacteristic, complemented
183#102×D59C2211yescharacteristic, complemented
184#16837365C2211yescharacteristic, complemented
185#16837364C2211yescharacteristic, complemented
186C2×(C2×D59)⋊C8C2211yescharacteristic, complemented
187C22⋊C8×D59C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C59C2211yescharacteristic, complemented
189C22×D8×C59C2211yescharacteristic, complemented
190C59×#546C2211yescharacteristic, complemented
191D42×C59C2211yescharacteristic, complemented
192C59×#496C2211yescharacteristic, complemented
193C59×#469C2211yescharacteristic, complemented
194C59×#465C2211yescharacteristic, complemented
195C59×#463C2211yescharacteristic, complemented
196C59×#459C2211yescharacteristic, complemented
197C59×#450C2211yescharacteristic, complemented
198C59×#449C2211yescharacteristic, complemented
199C59×#447C2211yescharacteristic, complemented
200C59×#447C2211yescharacteristic, complemented
201C59×#442C2211yescharacteristic, complemented
202C59×#435C2211yescharacteristic, complemented
203#14273772—48no—
204C2×#11745689C2311yescharacteristic
205C2×#11745685—21no—
206C2×#11745685—21no—
207C2×#11745685—21no—
208C2×#11745685C2311yescharacteristic
209C2×#11745687—21no—
210C2×#11745687—21no—
211C2×#11745687—21no—
212C2×#11745687—21no—
213C2×#11745687—21no—
214C2×#11745687—21no—
215C2×#11745687—21no—
216C2×#11745687—42no—
217C2×#11745687—42no—
218C2×#11745687C2311yescharacteristic
219C2×#11745687C2311yescharacteristic
220C2×#11745687C2311yescharacteristic
221C2×#11745687C2311yescharacteristic
222#41×D59—42no—
223#41×D59—42no—
224C22×Dic118C2311yescharacteristic
225C2×Q8×D59C2311yescharacteristic
226C22×C22⋊D59—21no—
227C22×C22⋊D59—21no—
228C22×C22⋊D59—21no—
229C22×C22⋊D59—21no—
230C22×C22⋊D59—21no—
231C22×C22⋊D59—21no—
232C2×D4×D59—21no—
233C2×D4×D59—21no—
234C2×D4×D59—21no—
235C2×D4×D59—21no—
236C2×D4×D59D411yescharacteristic
237C2×D4×D59C2311yescharacteristic
238C2×D4×D59C2311yescharacteristic
239C2×D4×D59C2311yescharacteristic
240C23×Dic59—21no—
241C22×C4×D59—21no—
242C22×C4×D59C2311yescharacteristic
243C22×C4×D59C2311yescharacteristic
244#14273753—42no—
245#14273751—42no—
246#14273751—42no—
247C2×#11745660C2311yescharacteristic
248C2×#11745660C2311yescharacteristic
249C2×#11745670—42no—
250C2×#11745670C2311yescharacteristic
251C2×#11745670C2311yescharacteristic
252C2×#11745670C2311yescharacteristic
253C2×#11745670C2311yescharacteristic
254C2×#11745670C2311yescharacteristic
255C2×#11745670C2311yescharacteristic
256C2×#11745671C2311yescharacteristic
257SD16×D59—42no—
258C2×D472C2311yescharacteristic
259C2×#11745669C2311yescharacteristic
260C2×#11745669C2311yescharacteristic
261C2×#11745669C2311yescharacteristic
262C2×#11745669C2311yescharacteristic
263C2×#11745669C2311yescharacteristic
264D8×D59—42no—
265C2×#11745664C2311yescharacteristic
266C2×#11745659C2311yescharacteristic
267C2×#11745659C2311yescharacteristic
268C22×C59⋊C8C2311yescharacteristic
269C2×C8×D59C2311yescharacteristic
270C2×C8×D59C2311yescharacteristic
271#14273727C2311yescharacteristic
272#14273726—21no—
273#14273726C2311yescharacteristic
274#14273725C2311yescharacteristic
275#14273723—21no—
276#14273723C2311yescharacteristic
277#14273723C2311yescharacteristic
278#14273715C2311yescharacteristic
279#14273714—21no—
280#14273713—21no—
281#14273713—21no—
282#14273713—21no—
283#14273712—21no—
284#14273711—21no—
285#14273711—21no—
286#14273711—21no—
287#14273710—21no—
288#14273709—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273708—21no—
294#14273708—21no—
295#14273708—21no—
296#14273707—21no—
297#14273707C2311yescharacteristic
298#14273706—21no—
299#14273706C2311yescharacteristic
300#14273705—21no—
301#14273705—21no—
302#14273704—21no—
303#14273704—21no—
304#14273704—21no—
305#14273704—21no—
306#14273703C2311yescharacteristic
307#14273702C2311yescharacteristic
308#14273702C2311yescharacteristic
309#14273701—21no—
310#14273701C2311yescharacteristic
311#14273701C2311yescharacteristic
312#14273701C2311yescharacteristic
313#14273700—21no—
314#14273700—21no—
315#14273700—21no—
316#14273700—21no—
317#14273700—21no—
318#14273700—21no—
319#14273700—21no—
320#14273699—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#14273698—21no—
333#14273698—21no—
334#14273698C2311yescharacteristic
335#14273698C2311yescharacteristic
336#14273698C2311yescharacteristic
337#14273698C2311yescharacteristic
338#14273698C2311yescharacteristic
339#14273698C2311yescharacteristic
340#14273698C2311yescharacteristic
341#14273698C2311yescharacteristic
342#14273697—21no—
343#14273697—21no—
344#14273696—21no—
345#14273696—21no—
346#14273696—21no—
347#14273695—21no—
348#14273695—21no—
349#14273695—21no—
350#14273695—21no—
351#14273695—21no—
352#14273695—21no—
353C4×Dic118C2311yescharacteristic
354#14273692C2311yescharacteristic
355C4×D236C2311yescharacteristic
356C4×D236C2311yescharacteristic
357D4×Dic59—21no—
358D4×Dic59—21no—
359D4×Dic59D411yescharacteristic
360D4×Dic59C2311yescharacteristic
361D4×Dic59C2311yescharacteristic
362D4×Dic59C2311yescharacteristic
363#14273689—21no—
364#14273689D411yescharacteristic
365C4×C22⋊D59—21no—
366C4×C22⋊D59—21no—
367C4×C22⋊D59C2311yescharacteristic
368C4×C22⋊D59C2311yescharacteristic
369(C22⋊D59)⋊C4—21no—
370(C22⋊D59)⋊C4—21no—
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375(C22⋊D59)⋊C4—21no—
376(C22⋊D59)⋊C4—21no—
377(C22⋊D59)⋊C4—21no—
378(C22⋊D59)⋊C4D411yescharacteristic
379(C22⋊D59)⋊C4D411yescharacteristic
380#14273685C2311yescharacteristic
381#14273683—21no—
382C2×C4⋊Dic59C2311yescharacteristic
383C2×C4⋊Dic59C2311yescharacteristic
384C2×Dic59⋊C4—21no—
385C4⋊C4×D59D411yescharacteristic
386C4⋊C4×D59C2311yescharacteristic
387C4⋊C4×D59C2311yescharacteristic
388C2×C22⋊Dic59—21no—
389C2×C22⋊Dic59—21no—
390C2×(C2×D59)⋊C4—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59D411yescharacteristic
394C22⋊C4×D59D411yescharacteristic
395C2×C4×Dic59—21no—
396C42×D59C2311yescharacteristic
397#14273661C2311yescharacteristic
398#14273661C2311yescharacteristic
399#14273661C2311yescharacteristic
400#14273660C2311yescharacteristic
401#14273658C2311yescharacteristic
402#14273658C2311yescharacteristic
403#14273658C2311yescharacteristic
404C4⋊(C59⋊C8)C2311yescharacteristic
405Dic59⋊C8C2311yescharacteristic
406Dic59⋊C8C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273652C2311yescharacteristic
409#14273652C2311yescharacteristic
410#14273652C2311yescharacteristic
411#14273652C2311yescharacteristic
412#14273652C2311yescharacteristic
413#14273651C2311yescharacteristic
414#14273651C2311yescharacteristic
415#14273651C2311yescharacteristic
416#14273650C2311yescharacteristic
417#14273650C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273649C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273648C2311yescharacteristic
425#14273648C2311yescharacteristic
426#14273648C2311yescharacteristic
427#14273648C2311yescharacteristic
428#14273648C2311yescharacteristic
429#14273648C2311yescharacteristic
430#14273648C2311yescharacteristic
431#14273647C2311yescharacteristic
432#14273647C2311yescharacteristic
433C22⋊(C59⋊C8)C2311yescharacteristic
434C22⋊(C59⋊C8)C2311yescharacteristic
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(C2×D59)⋊C8C2311yescharacteristic
443#14273638C2311yescharacteristic
444C8×Dic59C2311yescharacteristic
445C8×Dic59C2311yescharacteristic
446C2×#41×C59C2311yescharacteristic
447C22×D4×C59—21no—
448C22×D4×C59C2311yescharacteristic
449C22×D4×C59C2311yescharacteristic
450C22×D4×C59C2311yescharacteristic
451AGL(1,ℤ/8)×C59—42no—
452C2×SD16×C59C2311yescharacteristic
453C2×SD16×C59C2311yescharacteristic
454C2×SD16×C59C2311yescharacteristic
455C2×D8×C59—42no—
456C2×D8×C59C2311yescharacteristic
457C2×D8×C59C2311yescharacteristic
458C2×D8×C59C2311yescharacteristic
459C2×D8×C59C2311yescharacteristic
460C2×D8×C59C2311yescharacteristic
461C2×D8×C59C2311yescharacteristic
462C2×M16×C59C2311yescharacteristic
463C22×C8×C59C2311yescharacteristic
464#127×C59C2311yescharacteristic
465#124×C59C2311yescharacteristic
466#123×C59—21no—
467C22⋊Q8×C59C2311yescharacteristic
468#121×C59—21no—
469#121×C59—21no—
470#121×C59C2311yescharacteristic
471#121×C59C2311yescharacteristic
472#121×C59C2311yescharacteristic
473#120×C59—21no—
474#120×C59—21no—
475#120×C59—21no—
476C4×D4×C59C2311yescharacteristic
477C4×D4×C59C2311yescharacteristic
478C4×D4×C59C2311yescharacteristic
479C2×C22⋊C4×C59—21no—
480#106×C59C2311yescharacteristic
481C4⋊C8×C59C2311yescharacteristic
482#103×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484#102×C59C2311yescharacteristic
485#102×C59C2311yescharacteristic
486#102×C59C2311yescharacteristic
487#102×C59C2311yescharacteristic
488C22⋊C8×C59C2311yescharacteristic
489C22⋊C8×C59C2311yescharacteristic
490#97×C59C2311yescharacteristic
491C24×C59—21no—
492C24×C59—21no—
493C24×C59—21no—
494C23×D59—21no—
495C23×D59—21no—
496C23×D59—21no—
497C23×D59C2×D411yescharacteristic
498C23×D59C2×D411yescharacteristic
499#41×C59—22no—
500#41×C59—41no—
501C2×Q8×C59C2411yescharacteristic
502C2×D4×C59—22no—
503C2×D4×C59—21no—
504C2×D4×C59—21no—
505C2×D4×C59—21no—
506C2×D4×C59—21no—
507C2×D4×C59—21no—
508C2×D4×C59—21no—
509C2×D4×C59—21no—
510C2×D4×C59—21no—
511C2×D4×C59—21no—
512C2×D4×C59—41no—
513C2×D4×C59—41no—
514C2×D4×C59—41no—
515C2×D4×C59—41no—
516C2×D4×C59—41no—
517C2×D4×C59—44no—
518C2×D4×C59C2×D411yescharacteristic
519C2×D4×C59C2411yescharacteristic
520C2×D4×C59C2411yescharacteristic
521C2×D4×C59C2411yescharacteristic
522C2×D4×C59C2411yescharacteristic
523C2×D4×C59C2411yescharacteristic
524C22×C4×C59—21no—
525C22×C4×C59—21no—
526C22×C4×C59—21no—
527C22×C4×C59C2411yescharacteristic
528C22×C4×C59C2411yescharacteristic
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—21no—
538C2×C22⋊D59—21no—
539C2×C22⋊D59—21no—
540C2×C22⋊D59—21no—
541C2×C22⋊D59—21no—
542C2×C22⋊D59—21no—
543C2×C22⋊D59—21no—
544C2×C22⋊D59—21no—
545C2×C22⋊D59—21no—
546C2×C22⋊D59—21no—
547C2×C22⋊D59—21no—
548C2×C22⋊D59—21no—
549C2×C22⋊D59—21no—
550C2×C22⋊D59—21no—
551C2×C22⋊D59—21no—
552C2×C22⋊D59—44no—
553C2×C22⋊D59—44no—
554C2×C22⋊D59—44no—
555C2×C22⋊D59—44no—
556C2×C22⋊D59—44no—
557C2×C22⋊D59—44no—
558C2×C22⋊D59C2×D411yescharacteristic
559C2×C22⋊D59C2×D411yescharacteristic
560C22×Dic59—21no—
561C22×Dic59—21no—
562C22×Dic59—21no—
563C22×Dic59—21no—
564C22×Dic59—21no—
565C22×Dic59—21no—
566C22×Dic59—21no—
567C22×Dic59—21no—
568C22×Dic59—21no—
569C22×Dic59—21no—
570C22×Dic59—44no—
571C22×Dic59C2×D411yescharacteristic
572C22×Dic59C2×D411yescharacteristic
573#11745689—41no—
574#11745689—41no—
575Q8×D59—22no—
576Q8×D59—41no—
577#11745687—22no—
578#11745687—22no—
579#11745687—22no—
580#11745687—22no—
581#11745687—41no—
582#11745687—41no—
583#11745687—41no—
584#11745687—41no—
585#11745687—44no—
586#11745687—44no—
587#11745687—44no—
588#11745687—44no—
589#11745687—44no—
590#11745687—44no—
591#11745687—44no—
592D4×D59—24no—
593D4×D59—22no—
594D4×D59—41no—
595D4×D59—41no—
596D4×D59—41no—
597D4×D59—41no—
598D4×D59—41no—
599D4×D59—44no—
600D4×D59—44no—
601D4×D59—44no—
602D4×D59—44no—
603#11745685—22no—
604#11745685—41no—
605#11745685—44no—
606#11745685—44no—
607#11745685—44no—
608C2×D236—21no—
609C2×D236—21no—
610C2×D236—21no—
611C2×D236C2×D411yescharacteristic
612C2×D236C2411yescharacteristic
613C2×D236C2411yescharacteristic
614C2×C4×D59—21no—
615C2×C4×D59—21no—
616C2×C4×D59—21no—
617C2×C4×D59—21no—
618C2×C4×D59—21no—
619C2×C4×D59—21no—
620C2×C4×D59—41no—
621C2×C4×D59—41no—
622C2×C4×D59—41no—
623C2×C4×D59—41no—
624C2×C4×D59—44no—
625C2×C4×D59C2×D411yescharacteristic
626C2×C4×D59C2×D411yescharacteristic
627C2×C4×D59C2×D411yescharacteristic
628C2×C4×D59C2×D411yescharacteristic
629C2×C4×D59C2×D411yescharacteristic
630C2×C4×D59C2×D411yescharacteristic
631C2×C4×D59C2411yescharacteristic
632C2×C4×D59C2411yescharacteristic
633C2×C4×D59C2411yescharacteristic
634C2×Dic118—22no—
635C2×Dic118—21no—
636C2×Dic118—21no—
637C2×Dic118—21no—
638C2×Dic118—21no—
639C2×Dic118—41no—
640C2×Dic118C2411yescharacteristic
641C2×Dic118C2411yescharacteristic
642SD16×C59—41no—
643SD16×C59—41no—
644SD16×C59—41no—
645D8×C59—22no—
646D8×C59—22no—
647D8×C59—22no—
648D8×C59—41no—
649D8×C59—41no—
650D8×C59—41no—
651M16×C59—41no—
652C2×C8×C59—41no—
653C2×C8×C59C2411yescharacteristic
654C2×C8×C59C2411yescharacteristic
655C2×C8×C59C2411yescharacteristic
656C2×C8×C59C2411yescharacteristic
657C4⋊C4×C59—21no—
658C4⋊C4×C59C2×D411yescharacteristic
659C4⋊C4×C59C2411yescharacteristic
660C4⋊C4×C59C2411yescharacteristic
661C22⋊C4×C59—21no—
662C22⋊C4×C59—21no—
663C22⋊C4×C59—21no—
664C22⋊C4×C59—21no—
665C22⋊C4×C59—21no—
666C22⋊C4×C59—21no—
667C22⋊C4×C59—21no—
668C22⋊C4×C59—21no—
669C22⋊C4×C59C2×D411yescharacteristic
670C22⋊C4×C59C2×D411yescharacteristic
671C42×C59C2411yescharacteristic
672C22⋊Dic59—21no—
673C22⋊Dic59—21no—
674C22⋊Dic59—21no—
675C22⋊Dic59—21no—
676C22⋊Dic59—21no—
677C22⋊Dic59—21no—
678C22⋊Dic59—21no—
679C22⋊Dic59—21no—
680C22⋊Dic59—21no—
681C22⋊Dic59—21no—
682C22⋊Dic59—21no—
683C22⋊Dic59—21no—
684C22⋊Dic59C2×D411yescharacteristic
685C22⋊Dic59C2×D411yescharacteristic
686#11745671—41no—
687#11745670—22no—
688#11745670—22no—
689#11745670—22no—
690#11745670—41no—
691#11745670—41no—
692#11745670—41no—
693#11745669—22no—
694#11745669—41no—
695#11745669—41no—
696#11745669—41no—
697#11745669—41no—
698(C2×D59)⋊C4—21no—
699(C2×D59)⋊C4—21no—
700(C2×D59)⋊C4—21no—
701(C2×D59)⋊C4—21no—
702(C2×D59)⋊C4—21no—
703(C2×D59)⋊C4—21no—
704(C2×D59)⋊C4—21no—
705(C2×D59)⋊C4—21no—
706(C2×D59)⋊C4—21no—
707(C2×D59)⋊C4—21no—
708(C2×D59)⋊C4—21no—
709(C2×D59)⋊C4C2×D411yescharacteristic
710(C2×D59)⋊C4C2×D411yescharacteristic
711(C2×D59)⋊C4C2×D411yescharacteristic
712(C2×D59)⋊C4C2×D411yescharacteristic
713C4⋊Dic59—21no—
714C4⋊Dic59—21no—
715C4⋊Dic59—21no—
716C4⋊Dic59—21no—
717C4⋊Dic59C2×D411yescharacteristic
718C4⋊Dic59C2411yescharacteristic
719C4⋊Dic59C2411yescharacteristic
720C4⋊Dic59C2411yescharacteristic
721C4⋊Dic59C2411yescharacteristic
722Dic59⋊C4—21no—
723Dic59⋊C4—21no—
724Dic59⋊C4—21no—
725Dic59⋊C4—21no—
726Dic59⋊C4—21no—
727Dic59⋊C4—21no—
728Dic59⋊C4—21no—
729Dic59⋊C4—21no—
730Dic59⋊C4—21no—
731Dic59⋊C4C2×D411yescharacteristic
732Dic59⋊C4C2×D411yescharacteristic
733C4×Dic59—21no—
734C4×Dic59—21no—
735C4×Dic59—21no—
736C4×Dic59C2×D411yescharacteristic
737C4×Dic59C2×D411yescharacteristic
738C4×Dic59C2411yescharacteristic
739#11745664—41no—
740C2×C59⋊C8—41no—
741C2×C59⋊C8C2411yescharacteristic
742C2×C59⋊C8C2411yescharacteristic
743C2×C59⋊C8C2411yescharacteristic
744C2×C59⋊C8C2411yescharacteristic
745D472—41no—
746#11745660—22no—
747#11745660—41no—
748#11745659—41no—
749#11745659—41no—
750C8×D59—41no—
751C8×D59—41no—
752C23×C59—21no—
753C23×C59—21no—
754C23×C59—21no—
755C23×C59—21no—
756C23×C59—21no—
757C23×C59—42no—
758C23×C59—42no—
759C23×C59—42no—
760C23×C59—42no—
761C23×C59—81no—
762C23×C59—81no—
763C23×C59—81no—
764C23×C59—81no—
765C23×C59—81no—
766C23×C59C22×D411yescharacteristic
767C23×C59C22×D411yescharacteristic
768C22×D59—22no—
769C22×D59—22no—
770C22×D59—21no—
771C22×D59—21no—
772C22×D59—41no—
773C22×D59—41no—
774C22×D59—41no—
775C22×D59—41no—
776C22×D59—42no—
777C22×D59—42no—
778C22×D59—42no—
779C22×D59—42no—
780C22×D59—81no—
781C22×D59—81no—
782C22×D59—81no—
783C22×D59—81no—
784C22×D59—81no—
785C22×D59C22×D411yescharacteristic
786C22×D59C22×D411yescharacteristic
787C22×D59C22×D411yescharacteristic
788Q8×C59—21no—
789Q8×C59—21no—
790D4×C59—22no—
791D4×C59—21no—
792D4×C59—21no—
793D4×C59—21no—
794D4×C59—21no—
795D4×C59—21no—
796D4×C59—21no—
797D4×C59—21no—
798D4×C59—21no—
799D4×C59—21no—
800D4×C59—42no—
801D4×C59—42no—
802D4×C59—42no—
803D4×C59—42no—
804D4×C59—42no—
805D4×C59—81no—
806D4×C59—81no—
807D4×C59—81no—
808D4×C59—81no—
809D4×C59H(5,𝔽2)12yescomplemented
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—42no—
818C2×C4×C59—42no—
819C2×C4×C59—81no—
820C2×C4×C59C22×D411yescharacteristic
821C2×C4×C59C22×D411yescharacteristic
822C2×C4×C59C22×D411yescharacteristic
823C2×C4×C59C22×D411yescharacteristic
824C2×C4×C59C2511yescharacteristic
825C22⋊D59—24no—
826C22⋊D59—22no—
827C22⋊D59—42no—
828C22⋊D59—42no—
829C22⋊D59—42no—
830C22⋊D59—42no—
831C22⋊D59—42no—
832C22⋊D59—42no—
833C22⋊D59—42no—
834C22⋊D59—42no—
835C22⋊D59—42no—
836C22⋊D59—42no—
837C22⋊D59—42no—
838C22⋊D59—42no—
839C22⋊D59—42no—
840C22⋊D59—42no—
841C22⋊D59—42no—
842C22⋊D59—42no—
843C22⋊D59—42no—
844C22⋊D59—42no—
845C22⋊D59—81no—
846C22⋊D59—81no—
847C22⋊D59—81no—
848C22⋊D59—81no—
849C22⋊D59AGL(1,ℤ/8)14yescomplemented
850C2×Dic59—24no—
851C2×Dic59—21no—
852C2×Dic59—21no—
853C2×Dic59—21no—
854C2×Dic59—21no—
855C2×Dic59—21no—
856C2×Dic59—21no—
857C2×Dic59—41no—
858C2×Dic59—41no—
859C2×Dic59—42no—
860C2×Dic59—42no—
861C2×Dic59—42no—
862C2×Dic59—42no—
863C2×Dic59—42no—
864C2×Dic59—42no—
865C2×Dic59—42no—
866C2×Dic59—42no—
867C2×Dic59—42no—
868C2×Dic59C22×D411yescharacteristic
869C2×Dic59C22×D411yescharacteristic
870C2×Dic59C22×D411yescharacteristic
871C2×Dic59C22×D411yescharacteristic
872C2×Dic59C22×D411yescharacteristic
873D236—22no—
874D236—21no—
875D236—21no—
876D236—21no—
877D236—21no—
878D236—42no—
879D236—42no—
880D236—81no—
881C4×D59—21no—
882C4×D59—21no—
883C4×D59—21no—
884C4×D59—21no—
885C4×D59—21no—
886C4×D59—21no—
887C4×D59—22no—
888C4×D59—41no—
889C4×D59—41no—
890C4×D59—41no—
891C4×D59—41no—
892C4×D59—41no—
893C4×D59—42no—
894C4×D59—42no—
895C4×D59—42no—
896C4×D59—42no—
897C4×D59—42no—
898C4×D59—42no—
899Dic118—21no—
900Dic118—21no—
901Dic118—21no—
902Dic118—42no—
903Dic118—42no—
904Dic118—42no—
905Dic118—42no—
906Dic118H(5,𝔽2)12yescomplemented
907C8×C59—21no—
908C8×C59—21no—
909C8×C59—21no—
910C8×C59—21no—
911C59⋊C8—21no—
912C59⋊C8—21no—
913C59⋊C8—21no—
914C59⋊C8—21no—
915#61598—591nomaximal, Sylow
916C22×C59—21no—
917C22×C59—21no—
918C22×C59—21no—
919C22×C59—22no—
920C22×C59—21no—
921C22×C59—21no—
922C22×C59—41no—
923C22×C59—41no—
924C22×C59—41no—
925C22×C59—41no—
926C22×C59—41no—
927C22×C59—41no—
928C22×C59—41no—
929C22×C59—41no—
930C22×C59—41no—
931C22×C59—41no—
932C22×C59—41no—
933C22×C59—41no—
934C22×C59—41no—
935C22×C59—41no—
936C22×C59—84no—
937C22×C59—162no—
938C22×C59—162no—
939C22×C59C2×AGL(1,ℤ/8)12yes—
940C22×C59C23×D411yescharacteristic
941C2×D59—21no—
942C2×D59—21no—
943C2×D59—21no—
944C2×D59—21no—
945C2×D59—21no—
946C2×D59—21no—
947C2×D59—21no—
948C2×D59—21no—
949C2×D59—41no—
950C2×D59—41no—
951C2×D59—41no—
952C2×D59—41no—
953C2×D59—41no—
954C2×D59—41no—
955C2×D59—82no—
956C2×D59—84no—
957C2×D59—82no—
958C2×D59—162no—
959C2×D59—162no—
960C2×D59C2×AGL(1,ℤ/8)12yes—
961C4×C59—21no—
962C4×C59—21no—
963C4×C59—21no—
964C4×C59—21no—
965C4×C59—41no—
966C4×C59—41no—
967C4×C59—41no—
968C4×C59C2×H(5,𝔽2)11yescharacteristic
969C4×C59C2×H(5,𝔽2)11yescharacteristic
970Dic59—21no—
971Dic59—22no—
972Dic59—21no—
973Dic59—21no—
974Dic59—21no—
975Dic59—41no—
976Dic59—41no—
977Dic59—41no—
978Dic59—41no—
979Dic59—41no—
980Dic59C2×AGL(1,ℤ/8)12yes—
981#3496—591no—
982D4×#41—591no—
983#3332—591no—
984#3330—591no—
985#3308—591no—
986#3308—591no—
987#3306—591no—
988#3306—591no—
989#3298—591no—
990#3294—591no—
991D4×SD16—591no—
992D4×D8—591no—
993#3274—591no—
994#3272—591no—
995#3265—591no—
996#3265—591no—
997#3264—591no—
998#3264D5911yescharacteristic, complemented
999#3214—591no—
1000#3207—591no—
1001#3194—591no—
1002#3194—591no—
1003#3188—591no—
1004#3188—591no—
1005#3115—591no—
1006#3106—591no—
1007#3006—591no—
1008#3006—591no—
1009C2×#449—591no—
1010C2×#449—591no—
1011#2974—591no—
1012C2×C59—22no—
1013C2×C59—41no—
1014C2×C59—42no—
1015C2×C59—81no—
1016C2×C59—81no—
1017C2×C59—81no—
1018C2×C59—81no—
1019C2×C59#348411yescharacteristic
1020C2×C59C22×AGL(1,ℤ/8)11yescharacteristic
1021C2×C59#358411yescharacteristic
1022D59—22no—
1023D59—41no—
1024D59—41no—
1025D59—81no—
1026D59—81no—
1027C2×H(5,𝔽2)—1181no—
1028C22×#41—591no—
1029C22×#41—591no—
1030C2×AGL(1,ℤ/8)—591no—
1031C2×AGL(1,ℤ/8)—591no—
1032C2×AGL(1,ℤ/8)—591no—
1033C2×AGL(1,ℤ/8)C2×D5911yescharacteristic, complemented
1034C22×SD16—591no—
1035C22×SD16—591no—
1036C22×D8—591no—
1037C22×D8C2×D5911yescharacteristic, complemented
1038#550—591no—
1039D4×Q8—591no—
1040#548—591no—
1041#548—591no—
1042#547—591no—
1043#547—591no—
1044#547—591no—
1045#547—591no—
1046#547—591no—
1047#547—1181no—
1048#546—591no—
1049#546—1181no—
1050#546—1181no—
1051#546—1181no—
1052#546—1181no—
1053#546—1181no—
1054#546—1181no—
1055#546C2×D5911yescharacteristic, complemented
1056D42—591no—
1057D42—591no—
1058D42—591no—
1059D42—591no—
1060D42—1181no—
1061D42C2×D5911yescharacteristic, complemented
1062#537—1181no—
1063#534—1181no—
1064#534—1181no—
1065#532—591no—
1066#532—591no—
1067#532—591no—
1068#532—1181no—
1069#525—591no—
1070#525—591no—
1071#525—1181no—
1072#525—1181no—
1073C2×#121—591no—
1074C2×#121—591no—
1075C2×#121—591no—
1076C2×#121—591no—
1077C4×#41—591no—
1078C2×C4×D4—591no—
1079C2×C4×D4—1181no—
1080#496—591no—
1081#496C2×D5911yescharacteristic, complemented
1082#493—591no—
1083#492—591no—
1084#489—591no—
1085#489—591no—
1086#487—591no—
1087#486—591no—
1088#484—591no—
1089#484—591no—
1090#483—591no—
1091#483—591no—
1092#482—591no—
1093#482—591no—
1094#482—591no—
1095#482—591no—
1096#481—591no—
1097#481—591no—
1098#480—591no—
1099#480—591no—
1100#477—591no—
1101#476—591no—
1102#475—591no—
1103#474—591no—
1104#469—591no—
1105#469—591no—
1106#469—591no—
1107#469C2×D5911yescharacteristic, complemented
1108#468—591no—
1109#468—591no—
1110#468—591no—
1111#468—591no—
1112#466—591no—
1113#466—591no—
1114#466—591no—
1115#466—591no—
1116#465—591no—
1117#465—591no—
1118#465—591no—
1119#465C2×D5911yescharacteristic, complemented
1120#463—591no—
1121#463—591no—
1122#463—591no—
1123#463C2×D5911yescharacteristic, complemented
1124#461—591no—
1125#461—591no—
1126#460—591no—
1127#460—591no—
1128#459—591no—
1129#459—591no—
1130#459—591no—
1131#459C2×D5911yescharacteristic, complemented
1132#450—591no—
1133#450—591no—
1134#450—591no—
1135#450C2×D5911yescharacteristic, complemented
1136#449—591no—
1137#449—591no—
1138#449—591no—
1139#449—591no—
1140#449—591no—
1141#449—591no—
1142#449—591no—
1143#449—591no—
1144#449—591no—
1145#449—591no—
1146#449—591no—
1147#449—591no—
1148#449—591no—
1149#449—591no—
1150#449—591no—
1151#449—591no—
1152#449—591no—
1153#449—591no—
1154#449—591no—
1155#449C2×D5911yescharacteristic, complemented
1156#448—591no—
1157#448—591no—
1158#448—591no—
1159#448—591no—
1160#447—591no—
1161#447—591no—
1162#447—591no—
1163#447—591no—
1164#447—591no—
1165#447—591no—
1166#447C2×D5911yescharacteristic, complemented
1167#447C2×D5911yescharacteristic, complemented
1168#442—591no—
1169#442C2×D5911yescharacteristic, complemented
1170#440—591no—
1171#440—591no—
1172C4×SD16—591no—
1173C4×SD16—591no—
1174C4×D8—591no—
1175C4×D8—591no—
1176#436—591no—
1177#436—591no—
1178#435—591no—
1179#435—591no—
1180#435—591no—
1181#435C2×D5911yescharacteristic, complemented
1182C8×D4—591no—
1183C8×D4—591no—
1184#432—591no—
1185#431—591no—
1186#417—591no—
1187#417—591no—
1188#417—591no—
1189#417—591no—
1190C2×#103—591no—
1191C2×#103—591no—
1192C2×#102—591no—
1193C2×#102—591no—
1194#407—591no—
1195#407—591no—
1196C2×C22⋊C8—591no—
1197C2×C22⋊C8—591no—
1198C59#6159811yescharacteristic, complemented, Sylow
1199H(5,𝔽2)—2368no—
1200C2×#41—591no—
1201C2×#41—591no—
1202C2×#41—591no—
1203C2×#41—591no—
1204C2×#41—591no—
1205C2×#41—591no—
1206C2×#41—1181no—
1207C2×#41—1181no—
1208C2×#41—1181no—
1209C2×#41—1181no—
1210C2×#41—1181no—
1211C2×#41—1181no—
1212C2×#41—1181no—
1213C2×#41—1181no—
1214C2×#41—1181no—
1215C2×#41—1181no—
1216C2×#41—2362no—
1217C2×#41—2362no—
1218C2×#41—2362no—
1219C2×#41—2362no—
1220C2×#41C22×D5911yescharacteristic
1221C22×Q8—591no—
1222C22×Q8—591no—
1223C22×D4—21no—
1224C22×D4—591no—
1225C22×D4—591no—
1226C22×D4—591no—
1227C22×D4—591no—
1228C22×D4—1181no—
1229C22×D4—1181no—
1230C22×D4—1181no—
1231C22×D4—1181no—
1232C22×D4—1181no—
1233C22×D4—1181no—
1234C22×D4—1181no—
1235C22×D4—1181no—
1236C22×D4—1181no—
1237C22×D4—1181no—
1238C22×D4C22×D5911yescharacteristic
1239C22×D4C22×D5911yescharacteristic
1240C22×D4C22×D5911yescharacteristic
1241C23×C4—591no—
1242C23×C4—591no—
1243C23×C4—1181no—
1244C23×C4—1181no—
1245AGL(1,ℤ/8)—42no—
1246AGL(1,ℤ/8)—2362no—
1247AGL(1,ℤ/8)—2362no—
1248AGL(1,ℤ/8)—2362no—
1249C2×SD16—591no—
1250C2×SD16—591no—
1251C2×SD16—591no—
1252C2×SD16—591no—
1253C2×SD16—591no—
1254C2×SD16—591no—
1255C2×SD16—591no—
1256C2×SD16—591no—
1257C2×SD16—591no—
1258C2×SD16—2362no—
1259C2×SD16—2362no—
1260C2×SD16C22×D5911yescharacteristic
1261C2×SD16C22×D5911yescharacteristic
1262C2×SD16C22×D5911yescharacteristic
1263C2×D8—42no—
1264C2×D8—591no—
1265C2×D8—591no—
1266C2×D8—591no—
1267C2×D8—591no—
1268C2×D8—591no—
1269C2×D8—591no—
1270C2×D8—2362no—
1271C2×D8C22×D5911yescharacteristic
1272C2×D8C22×D5911yescharacteristic
1273C2×D8C22×D5911yescharacteristic
1274C2×D8C22×D5911yescharacteristic
1275C2×D8C22×D5911yescharacteristic
1276C2×D8C22×D5911yescharacteristic
1277C2×M16—591no—
1278C2×M16—591no—
1279C2×M16—591no—
1280C2×M16C22×D5911yescharacteristic
1281C22×C8—591no—
1282C22×C8—591no—
1283C22×C8—591no—
1284C22×C8C22×D5911yescharacteristic
1285C4⋊Q8—591no—
1286C4⋊Q8—591no—
1287C4⋊Q8—591no—
1288C4⋊Q8—1181no—
1289#127—591no—
1290#127—591no—
1291#127—1181no—
1292#127C22×D5911yescharacteristic
1293#124—591no—
1294#124—1181no—
1295#124—1181no—
1296#124—1181no—
1297#124—1181no—
1298#124C22×D5911yescharacteristic
1299#123—21no—
1300#123—1181no—
1301#123—1181no—
1302#123—1181no—
1303#123—1181no—
1304#123—1181no—
1305#123—1181no—
1306#123—1181no—
1307#123—1181no—
1308#123—1181no—
1309#123—1181no—
1310#123—1181no—
1311#123—1181no—
1312#123—1181no—
1313C22⋊Q8—591no—
1314C22⋊Q8—591no—
1315C22⋊Q8—591no—
1316C22⋊Q8—1181no—
1317C22⋊Q8—1181no—
1318C22⋊Q8—1181no—
1319C22⋊Q8—1181no—
1320C22⋊Q8—1181no—
1321C22⋊Q8—1181no—
1322C22⋊Q8—1181no—
1323C22⋊Q8—1181no—
1324C22⋊Q8C22×D5911yescharacteristic
1325#121—21no—
1326#121—21no—
1327#121—591no—
1328#121—591no—
1329#121—591no—
1330#121—591no—
1331#121—591no—
1332#121—591no—
1333#121—591no—
1334#121—591no—
1335#121—591no—
1336#121—591no—
1337#121—591no—
1338#121—591no—
1339#121—591no—
1340#121—1181no—
1341#121—1181no—
1342#121—1181no—
1343#121—1181no—
1344#121—1181no—
1345#121—1181no—
1346#121—1181no—
1347#121—1181no—
1348#121—1181no—
1349#121—1181no—
1350#121—1181no—
1351#121—1181no—
1352#121—1181no—
1353#121—1181no—
1354#121—1181no—
1355#121—1181no—
1356#121—1181no—
1357#121—1181no—
1358#121—1181no—
1359#121—1181no—
1360#121—1181no—
1361#121—1181no—
1362#121C22×D5911yescharacteristic
1363#121C22×D5911yescharacteristic
1364#121C22×D5911yescharacteristic
1365#120—21no—
1366#120—21no—
1367#120—21no—
1368#120—1181no—
1369#120—1181no—
1370#120—1181no—
1371#120—1181no—
1372#120—1181no—
1373#120—1181no—
1374#120—1181no—
1375#120—1181no—
1376#120—1181no—
1377#120—1181no—
1378#120—1181no—
1379C4×Q8—591no—
1380C4×Q8—591no—
1381C4×D4—591no—
1382C4×D4—591no—
1383C4×D4—591no—
1384C4×D4—591no—
1385C4×D4—591no—
1386C4×D4—591no—
1387C4×D4—591no—
1388C4×D4—591no—
1389C4×D4—591no—
1390C4×D4—591no—
1391C4×D4—591no—
1392C4×D4—1181no—
1393C4×D4—1181no—
1394C4×D4—1181no—
1395C4×D4—1181no—
1396C4×D4—1181no—
1397C4×D4—1181no—
1398C4×D4—1181no—
1399C4×D4—1181no—
1400C4×D4—1181no—
1401C4×D4—1181no—
1402C4×D4—1181no—
1403C4×D4—1181no—
1404C4×D4—1181no—
1405C4×D4—1181no—
1406C4×D4C22×D5911yescharacteristic
1407C4×D4C22×D5911yescharacteristic
1408C4×D4C22×D5911yescharacteristic
1409#117—591no—
1410#117—1181no—
1411C2×C4⋊C4—591no—
1412C2×C4⋊C4—591no—
1413C2×C4⋊C4—591no—
1414C2×C4⋊C4—591no—
1415C2×C4⋊C4—591no—
1416C2×C4⋊C4—1181no—
1417C2×C22⋊C4—21no—
1418C2×C22⋊C4—591no—
1419C2×C22⋊C4—591no—
1420C2×C22⋊C4—1181no—
1421C2×C22⋊C4—1181no—
1422C2×C22⋊C4—1181no—
1423C2×C22⋊C4—1181no—
1424C2×C22⋊C4—1181no—
1425C2×C42—591no—
1426C2×C42—1181no—
1427#107—591no—
1428#107—591no—
1429#107—591no—
1430#107—591no—
1431#106—591no—
1432#106—591no—
1433#106—591no—
1434#106C22×D5911yescharacteristic
1435C4⋊C8—591no—
1436C4⋊C8—591no—
1437C4⋊C8—591no—
1438C4⋊C8C22×D5911yescharacteristic
1439#103—591no—
1440#103—591no—
1441#103—591no—
1442#103—591no—
1443#103—591no—
1444#103—591no—
1445#103—591no—
1446#103—591no—
1447#103—591no—
1448#103—591no—
1449#103—591no—
1450#103C22×D5911yescharacteristic
1451#102—591no—
1452#102—591no—
1453#102—591no—
1454#102—591no—
1455#102—591no—
1456#102—591no—
1457#102—591no—
1458#102—591no—
1459#102—591no—
1460#102—591no—
1461#102—591no—
1462#102—591no—
1463#102—591no—
1464#102—591no—
1465#102—591no—
1466#102C22×D5911yescharacteristic
1467#102C22×D5911yescharacteristic
1468#102C22×D5911yescharacteristic
1469#102C22×D5911yescharacteristic
1470#102C22×D5911yescharacteristic
1471C22⋊C8—591no—
1472C22⋊C8—591no—
1473C22⋊C8—591no—
1474C22⋊C8—591no—
1475C22⋊C8—591no—
1476C22⋊C8—591no—
1477C22⋊C8—591no—
1478C22⋊C8—591no—
1479C22⋊C8—591no—
1480C22⋊C8—591no—
1481C22⋊C8C22×D5911yescharacteristic
1482C22⋊C8C22×D5911yescharacteristic
1483#97—591no—
1484#97C22×D5911yescharacteristic
1485C4×C8—591no—
1486C4×C8—591no—
1487C24—21no—
1488C24—21no—
1489C24—21no—
1490C24—591no—
1491C24—591no—
1492C24—1181no—
1493C24—1181no—
1494C24—1181no—
1495#41—22no—
1496#41—41no—
1497#41—1182no—
1498#41—1182no—
1499#41—1182no—
1500#41—1182no—
1501#41—1182no—
1502#41—2361no—
1503#41—2364no—
1504#41—2364no—
1505#41—2364no—
1506#41—2361no—
1507#41—2361no—
1508#41—2361no—
1509#41—2361no—
1510#41—2364no—
1511#41—2364no—
1512#41—2364no—
1513#41—2361no—
1514#41—2361no—
1515#41—2364no—
1516#41—2364no—
1517#41—2364no—
1518#41—2364no—
1519C2×Q8—591no—
1520C2×Q8—591no—
1521C2×Q8—1181no—
1522C2×Q8—1181no—
1523C2×Q8—1182no—
1524C2×Q8—1181no—
1525C2×Q8—1181no—
1526C2×Q8—1182no—
1527C2×Q8—2361no—
1528C2×Q8—2361no—
1529C2×Q8C23×D5911yescharacteristic
1530C2×D4—22no—
1531C2×D4—21no—
1532C2×D4—21no—
1533C2×D4—21no—
1534C2×D4—21no—
1535C2×D4—21no—
1536C2×D4—21no—
1537C2×D4—21no—
1538C2×D4—21no—
1539C2×D4—21no—
1540C2×D4—41no—
1541C2×D4—41no—
1542C2×D4—41no—
1543C2×D4—41no—
1544C2×D4—41no—
1545C2×D4—44no—
1546C2×D4—591no—
1547C2×D4—591no—
1548C2×D4—591no—
1549C2×D4—591no—
1550C2×D4—591no—
1551C2×D4—1181no—
1552C2×D4—1181no—
1553C2×D4—1181no—
1554C2×D4—1181no—
1555C2×D4—1181no—
1556C2×D4—1181no—
1557C2×D4—1181no—
1558C2×D4—1181no—
1559C2×D4—1181no—
1560C2×D4—1181no—
1561C2×D4—1184no—
1562C2×D4—1181no—
1563C2×D4—1182no—
1564C2×D4—1181no—
1565C2×D4—1181no—
1566C2×D4—1181no—
1567C2×D4—1181no—
1568C2×D4—1181no—
1569C2×D4—1181no—
1570C2×D4—1181no—
1571C2×D4—1181no—
1572C2×D4—1181no—
1573C2×D4—1181no—
1574C2×D4—1181no—
1575C2×D4—1181no—
1576C2×D4—1181no—
1577C2×D4—1181no—
1578C2×D4—1181no—
1579C2×D4—2361no—
1580C2×D4—2361no—
1581C2×D4—2361no—
1582C2×D4—2361no—
1583C2×D4—2361no—
1584C2×D4—2364no—
1585C2×D4—2364no—
1586C2×D4—2364no—
1587C2×D4—2364no—
1588C2×D4—2364no—
1589C2×D4—2364no—
1590C2×D4—2364no—
1591C2×D4—2364no—
1592C2×D4—2364no—
1593C2×D4—2364no—
1594C2×D4D4×D5911yescharacteristic
1595C2×D4C23×D5911yescharacteristic
1596C2×D4C23×D5911yescharacteristic
1597C2×D4C23×D5911yescharacteristic
1598C2×D4C23×D5911yescharacteristic
1599C2×D4C23×D5911yescharacteristic
1600C22×C4—21no—
1601C22×C4—21no—
1602C22×C4—21no—
1603C22×C4—591no—
1604C22×C4—591no—
1605C22×C4—591no—
1606C22×C4—591no—
1607C22×C4—591no—
1608C22×C4—591no—
1609C22×C4—591no—
1610C22×C4—591no—
1611C22×C4—591no—
1612C22×C4—591no—
1613C22×C4—591no—
1614C22×C4—1181no—
1615C22×C4—1181no—
1616C22×C4—1181no—
1617C22×C4—1181no—
1618C22×C4—1181no—
1619C22×C4—1181no—
1620C22×C4—1181no—
1621C22×C4—1181no—
1622C22×C4—1181no—
1623C22×C4—1181no—
1624C22×C4—1181no—
1625C22×C4—1181no—
1626C22×C4—1181no—
1627C22×C4—1181no—
1628C22×C4—1181no—
1629C22×C4—1181no—
1630C22×C4—2361no—
1631C22×C4—2361no—
1632C22×C4—2361no—
1633C22×C4—2361no—
1634C22×C4—2364no—
1635C22×C4—2364no—
1636C22×C4C23×D5911yescharacteristic
1637C22×C4C23×D5911yescharacteristic
1638SD16—41no—
1639SD16—41no—
1640SD16—41no—
1641SD16—1182no—
1642SD16—1182no—
1643SD16—1182no—
1644SD16—1182no—
1645SD16—2361no—
1646SD16—2361no—
1647SD16—2361no—
1648SD16—2361no—
1649SD16—2361no—
1650D8—22no—
1651D8—22no—
1652D8—22no—
1653D8—41no—
1654D8—41no—
1655D8—41no—
1656D8—1182no—
1657D8—2361no—
1658D8—2361no—
1659D8—2361no—
1660D8—2361no—
1661D8—2361no—
1662M16—41no—
1663M16—2361no—
1664M16—2361no—
1665M16—2361no—
1666C2×C8—41no—
1667C2×C8—591no—
1668C2×C8—591no—
1669C2×C8—591no—
1670C2×C8—591no—
1671C2×C8—2361no—
1672C2×C8—2361no—
1673C2×C8—2361no—
1674C2×C8C23×D5911yescharacteristic
1675C2×C8C23×D5911yescharacteristic
1676C2×C8C23×D5911yescharacteristic
1677C2×C8C23×D5911yescharacteristic
1678C4⋊C4—21no—
1679C4⋊C4—591no—
1680C4⋊C4—591no—
1681C4⋊C4—591no—
1682C4⋊C4—591no—
1683C4⋊C4—591no—
1684C4⋊C4—591no—
1685C4⋊C4—591no—
1686C4⋊C4—1181no—
1687C4⋊C4—1181no—
1688C4⋊C4—1181no—
1689C4⋊C4—1181no—
1690C4⋊C4—1181no—
1691C4⋊C4—1181no—
1692C4⋊C4—1181no—
1693C4⋊C4—1181no—
1694C4⋊C4—1181no—
1695C4⋊C4—1181no—
1696C4⋊C4—1181no—
1697C4⋊C4—1181no—
1698C4⋊C4—1181no—
1699C4⋊C4D4×D5911yescharacteristic
1700C4⋊C4C23×D5911yescharacteristic
1701C4⋊C4C23×D5911yescharacteristic
1702C22⋊C4—21no—
1703C22⋊C4—21no—
1704C22⋊C4—21no—
1705C22⋊C4—21no—
1706C22⋊C4—21no—
1707C22⋊C4—21no—
1708C22⋊C4—21no—
1709C22⋊C4—21no—
1710C22⋊C4—591no—
1711C22⋊C4—591no—
1712C22⋊C4—591no—
1713C22⋊C4—591no—
1714C22⋊C4—591no—
1715C22⋊C4—591no—
1716C22⋊C4—1181no—
1717C22⋊C4—1181no—
1718C22⋊C4—1181no—
1719C22⋊C4—1181no—
1720C22⋊C4—1181no—
1721C22⋊C4—1181no—
1722C22⋊C4—1181no—
1723C22⋊C4—1181no—
1724C22⋊C4—1181no—
1725C22⋊C4—1181no—
1726C22⋊C4—1181no—
1727C22⋊C4—1181no—
1728C22⋊C4—1181no—
1729C22⋊C4—1181no—
1730C22⋊C4—1181no—
1731C22⋊C4—1181no—
1732C22⋊C4—1181no—
1733C22⋊C4—1181no—
1734C22⋊C4—1181no—
1735C22⋊C4—1181no—
1736C22⋊C4—1181no—
1737C22⋊C4—1181no—
1738C22⋊C4—1181no—
1739C22⋊C4D4×D5911yescharacteristic
1740C22⋊C4D4×D5911yescharacteristic
1741C42—591no—
1742C42—591no—
1743C42—591no—
1744C42—1181no—
1745C42—1181no—
1746C42—1181no—
1747C42C23×D5911yescharacteristic
1748C23—21no—
1749C23—21no—
1750C23—21no—
1751C23—21no—
1752C23—21no—
1753C23—42no—
1754C23—42no—
1755C23—42no—
1756C23—42no—
1757C23—81no—
1758C23—81no—
1759C23—81no—
1760C23—81no—
1761C23—81no—
1762C23—591no—
1763C23—591no—
1764C23—591no—
1765C23—1182no—
1766C23—1182no—
1767C23—1181no—
1768C23—1181no—
1769C23—4721no—
1770C23—4721no—
1771C23—4721no—
1772C23—4721no—
1773C23—4721no—
1774C23—2361no—
1775C23—2361no—
1776C23—2361no—
1777C23—2361no—
1778C23—2362no—
1779C23—2362no—
1780C23—2362no—
1781C23—2362no—
1782C23C2×D4×D5911yescharacteristic
1783C23C2×D4×D5911yescharacteristic
1784Q8—21no—
1785Q8—21no—
1786Q8—592no—
1787Q8—1181no—
1788Q8—1181no—
1789Q8—1181no—
1790Q8—2362no—
1791Q8—2362no—
1792Q8—2362no—
1793Q8—2362no—
1794D4—22no—
1795D4—21no—
1796D4—21no—
1797D4—21no—
1798D4—21no—
1799D4—21no—
1800D4—21no—
1801D4—21no—
1802D4—21no—
1803D4—21no—
1804D4—42no—
1805D4—42no—
1806D4—42no—
1807D4—42no—
1808D4—42no—
1809D4—81no—
1810D4—81no—
1811D4—81no—
1812D4—81no—
1813D4—594no—
1814D4—1182no—
1815D4—1182no—
1816D4—1184no—
1817D4—1181no—
1818D4—1181no—
1819D4—1181no—
1820D4—1181no—
1821D4—4721no—
1822D4—4721no—
1823D4—4721no—
1824D4—4721no—
1825D4—4721no—
1826D4—2362no—
1827D4—2362no—
1828D4—2362no—
1829D4—2362no—
1830D4—2362no—
1831D4—2362no—
1832D4—2362no—
1833D4—2362no—
1834D4—2362no—
1835D4—2362no—
1836D4—2362no—
1837D4—2362no—
1838D4—2362no—
1839D4—2362no—
1840D4—2362no—
1841D4—2362no—
1842D4—2362no—
1843D4—2362no—
1844D4—2362no—
1845D4—2362no—
1846D4#1427377212yescomplemented
1847C2×C4—21no—
1848C2×C4—21no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—21no—
1853C2×C4—21no—
1854C2×C4—42no—
1855C2×C4—42no—
1856C2×C4—81no—
1857C2×C4—591no—
1858C2×C4—591no—
1859C2×C4—591no—
1860C2×C4—591no—
1861C2×C4—591no—
1862C2×C4—1182no—
1863C2×C4—1184no—
1864C2×C4—1181no—
1865C2×C4—1181no—
1866C2×C4—1181no—
1867C2×C4—1181no—
1868C2×C4—1181no—
1869C2×C4—1181no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—1181no—
1874C2×C4—1181no—
1875C2×C4—1181no—
1876C2×C4—2361no—
1877C2×C4—2361no—
1878C2×C4—2361no—
1879C2×C4—2361no—
1880C2×C4—2361no—
1881C2×C4—2362no—
1882C2×C4—2362no—
1883C2×C4—2362no—
1884C2×C4—2362no—
1885C2×C4—2362no—
1886C2×C4—2362no—
1887C2×C4—2362no—
1888C2×C4—2362no—
1889C2×C4—2362no—
1890C2×C4—2361no—
1891C2×C4—2361no—
1892C2×C4—2362no—
1893C2×C4—2362no—
1894C2×C4—2362no—
1895C2×C4—2362no—
1896C2×C4—2362no—
1897C2×C4—2362no—
1898C2×C4C2×D4×D5911yescharacteristic
1899C2×C4C2×D4×D5911yescharacteristic
1900C2×C4C2×D4×D5911yescharacteristic
1901C2×C4C2×D4×D5911yescharacteristic
1902C2×C4C24×D5911yescharacteristic
1903C8—21no—
1904C8—21no—
1905C8—21no—
1906C8—21no—
1907C8—1181no—
1908C8—1181no—
1909C8—1181no—
1910C8—1181no—
1911C22—21no—
1912C22—21no—
1913C22—21no—
1914C22—22no—
1915C22—21no—
1916C22—21no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—41no—
1925C22—41no—
1926C22—41no—
1927C22—41no—
1928C22—41no—
1929C22—41no—
1930C22—41no—
1931C22—84no—
1932C22—162no—
1933C22—162no—
1934C22—592no—
1935C22—1181no—
1936C22—1181no—
1937C22—1181no—
1938C22—1181no—
1939C22—1181no—
1940C22—1181no—
1941C22—1181no—
1942C22—1181no—
1943C22—9442no—
1944C22—9442no—
1945C22—4722no—
1946C22—4724no—
1947C22—4722no—
1948C22—2361no—
1949C22—2361no—
1950C22—2361no—
1951C22—2361no—
1952C22—2361no—
1953C22—2361no—
1954C22AGL(1,ℤ/8)×D5912yes—
1955C22C22×D4×D5911yescharacteristic
1956C4—21no—
1957C4—21no—
1958C4—21no—
1959C4—21no—
1960C4—41no—
1961C4—41no—
1962C4—41no—
1963C4—592no—
1964C4—1181no—
1965C4—1181no—
1966C4—1181no—
1967C4—1182no—
1968C4—1181no—
1969C4—2361no—
1970C4—2361no—
1971C4—2361no—
1972C4—2361no—
1973C4—2361no—
1974C4H(5,𝔽2)×D5911yescharacteristic
1975C4C2×#1427377211yescharacteristic
1976C2—22no—
1977C2—41no—
1978C2—42no—
1979C2—81no—
1980C2—81no—
1981C2—81no—
1982C2—81no—
1983C2—1182no—
1984C2—4721no—
1985C2—4721no—
1986C2—2361no—
1987C2—2361no—
1988C2#2143772411yescharacteristic
1989C2C2×AGL(1,ℤ/8)×D5911yescharacteristic
1990C2#2143886411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3264C2
socleC22×C59C23×D4
hypercenter#3264D59
hypocenterC59#61598
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. #21437852C2semidirect
2. #21437580C2semidirect
3. #21436418C2semidirect
4. #21436394C2semidirect
5. #21436094C2semidirect
6. #21436089C2semidirect
7. #21436062C2semidirect
8. #21436057C2semidirect
9. #21435956C2semidirect
10. #21435902C2semidirect
11. #21435790C2semidirect
12. D8×C22⋊D59C2semidirect
13. #21435714C2semidirect
14. #21435690C2semidirect
15. #21435590C2semidirect
16. #21435587C2semidirect
17. #21435571C2semidirect
18. #21435086C2semidirect
19. #21435028C2semidirect
20. #21434913C2semidirect
21. #21434905C2semidirect
22. #21434862C2semidirect
23. #21434858C2semidirect
24. #21434243C2semidirect
25. #21434153C2semidirect
26. #21433344C2semidirect
27. #21433343C2semidirect
28. C2×#16837544C2semidirect
29. #449×D59C2semidirect
30. #21433126C2semidirect
31. C59×#3264C2semidirect
33. C22×#11745687C22semidirect
34. C2×#41×D59C22semidirect
35. C2×#14273753C22semidirect
36. C2×#14273751C22semidirect
37. C2×#14273751C22semidirect
38. C22×#11745670C22semidirect
39. C2×SD16×D59C22semidirect
40. C2×D8×D59C22semidirect
41. #16838070C22semidirect
42. #16838065C22semidirect
43. #16838061C22semidirect
44. #16838060C22semidirect
45. #16838057C22semidirect
46. #16838056C22semidirect
48. #16838052C22semidirect
49. #16838051C22semidirect
52. #16838047C22semidirect
58. #16838037C22semidirect
60. D4×C22⋊D59C22semidirect
61. D4×C22⋊D59C22semidirect
66. #16837951C22semidirect
67. #16837950C22semidirect
68. #16837949C22semidirect
70. #16837915C22semidirect
71. #16837912C22semidirect
74. C2×#14273698C22semidirect
75. C2×#14273698C22semidirect
76. #121×D59C22semidirect
77. #121×D59C22semidirect
78. C4×#11745687C22semidirect
81. #16837789C22semidirect
82. #16837777C22semidirect
83. #16837773C22semidirect
84. #16837762C22semidirect
85. #16837761C22semidirect
86. #16837751C22semidirect
87. #16837747C22semidirect
88. #16837738C22semidirect
89. #16837736C22semidirect
90. #16837734C22semidirect
91. #16837730C22semidirect
92. #16837728C22semidirect
93. #16837724C22semidirect
94. #16837724C22semidirect
95. #16837724C22semidirect
96. #16837722C22semidirect
97. #16837718C22semidirect
98. #16837716C22semidirect
99. #16837714C22semidirect
100. #16837698C22semidirect
101. #16837692C22semidirect
102. #16837686C22semidirect
103. #16837680C22semidirect
104. #16837654C22semidirect
105. #16837654C22semidirect
106. #16837653C22semidirect
107. #16837648C22semidirect
108. #16837646C22semidirect
109. #16837645C22semidirect
110. #16837645C22semidirect
111. #16837638C22semidirect
112. #16837636C22semidirect
113. #16837635C22semidirect
114. #16837635C22semidirect
115. #16837633C22semidirect
116. #16837630C22semidirect
117. #16837630C22semidirect
118. #16837618C22semidirect
119. #16837617C22semidirect
120. #16837614C22semidirect
121. #16837605C22semidirect
122. #16837605C22semidirect
123. #16837601C22semidirect
124. #16837599C22semidirect
125. #16837595C22semidirect
126. #16837595C22semidirect
127. #16837595C22semidirect
128. #16837554C22semidirect
129. #16837553C22semidirect
130. #16837551C22semidirect
131. #16837550C22semidirect
132. #16837549C22semidirect
133. #16837548C22semidirect
134. #16837548C22semidirect
135. #16837547C22semidirect
136. #16837546C22semidirect
137. #16837546C22semidirect
138. #16837546C22semidirect
139. #16837545C22semidirect
140. #16837544C22semidirect
141. #16837544C22semidirect
142. #16837544C22semidirect
143. #16837544C22semidirect
144. #16837544C22semidirect
145. #16837544C22semidirect
146. #16837544C22semidirect
147. #16837544C22semidirect
148. #16837544C22semidirect
149. #16837544C22semidirect
150. #16837543C22semidirect
151. #16837540C22semidirect
152. #16837539C22semidirect
153. #16837539C22semidirect
154. #16837537C22semidirect
155. #16837536C22semidirect
156. #16837536C22semidirect
157. #16837534C22semidirect
158. #16837534C22semidirect
159. #16837534C22semidirect
160. #16837512C22semidirect
161. #16837504C22semidirect
162. #16837502C22semidirect
163. #16837493C22semidirect
164. #16837493C22semidirect
165. D8×Dic59C22semidirect
166. D8×Dic59C22semidirect
167. #16837478C22semidirect
168. #16837477C22semidirect
169. #16837475C22semidirect
170. #16837474C22semidirect
171. #16837472C22semidirect
172. C8×C22⋊D59C22semidirect
173. (C22⋊D59)⋊C8C22semidirect
174. #16837457C22semidirect
175. #16837454C22semidirect
176. #16837404C22semidirect
177. #16837403C22semidirect
178. #16837400C22semidirect
179. #16837400C22semidirect
180. C2×#14273652C22semidirect
181. #103×D59C22semidirect
182. C2×#14273648C22semidirect
183. #102×D59C22semidirect
184. #16837365C22semidirect
185. #16837364C22semidirect
186. C2×(C2×D59)⋊C8C22semidirect
187. C22⋊C8×D59C22semidirect
188. C2×AGL(1,ℤ/8)×C59C22semidirect
189. C22×D8×C59C22semidirect
190. C59×#546C22semidirect
191. D42×C59C22semidirect
192. C59×#496C22semidirect
193. C59×#469C22semidirect
194. C59×#465C22semidirect
195. C59×#463C22semidirect
196. C59×#459C22semidirect
197. C59×#450C22semidirect
198. C59×#449C22semidirect
199. C59×#447C22semidirect
200. C59×#447C22semidirect
201. C59×#442C22semidirect
202. C59×#435C22semidirect
809. D4×C59H(5,𝔽2)semidirect
849. C22⋊D59AGL(1,ℤ/8)semidirect
906. Dic118H(5,𝔽2)semidirect
998. #3264D59semidirect
1033. C2×AGL(1,ℤ/8)C2×D59semidirect
1037. C22×D8C2×D59semidirect
1055. #546C2×D59semidirect
1061. D42C2×D59semidirect
1081. #496C2×D59semidirect
1107. #469C2×D59semidirect
1119. #465C2×D59semidirect
1123. #463C2×D59semidirect
1131. #459C2×D59semidirect
1135. #450C2×D59semidirect
1155. #449C2×D59semidirect
1166. #447C2×D59semidirect
1167. #447C2×D59semidirect
1169. #442C2×D59semidirect
1181. #435C2×D59semidirect
1198. C59#61598semidirect
1846. D4#14273772semidirect

Maximal subgroups

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

subgroupindex
#214378522
#214375802
#214364182
#214363942
#214360942
#214360892
#214360622
#214360572
#214359562
#214359022
#214357902
D8×C22⋊D592
#214357142
#214356902
#214355902
#214355872
#214355712
#214350862
#214350282
#214349132
#214349052
#214348622
#214348582
#214342432
#214341532
#214333442
#214333432
C2×#168375442
#449×D592
#214331262
C59×#32642
#6159859