Finite Group Databasebeta

← #29470406

Subgroups — #29470406

Order 15104.

1868 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21437654C211yesmaximal, characteristic, complemented
2#21437652C211yesmaximal, characteristic, complemented
3#21437174C211yesmaximal, characteristic, complemented
4#21437053C211yesmaximal, characteristic, complemented
5#21436926C211yesmaximal, characteristic, complemented
6#21436920C211yesmaximal, characteristic, complemented
7#21436671C211yesmaximal, characteristic, complemented
8#21436614C211yesmaximal, characteristic, complemented
9#21436608C211yesmaximal, characteristic, complemented
10#21436316C211yesmaximal, characteristic, complemented
11#21436315C211yesmaximal, characteristic, complemented
12#21436259C211yesmaximal, characteristic, complemented
13#21436245C211yesmaximal, characteristic, complemented
14#21436195C211yesmaximal, characteristic, complemented
15#21436189C211yesmaximal, characteristic, complemented
16#21435707C211yesmaximal, characteristic, complemented
17#21435619C211yesmaximal, characteristic, complemented
18#21435616C211yesmaximal, characteristic, complemented
19#21434703C211yesmaximal, characteristic, complemented
20#21434698C211yesmaximal, characteristic, complemented
21#21434664C211yesmaximal, characteristic, complemented
22#21434168C211yesmaximal, characteristic, complemented
23#21434163C211yesmaximal, characteristic, complemented
24#21434141C211yesmaximal, characteristic, complemented
25#21434112C211yesmaximal, characteristic, complemented
26#21434110C211yesmaximal, characteristic, complemented
27#21433060C211yesmaximal, characteristic, complemented
28C4×#14273753C211yesmaximal, characteristic, complemented
29C4×#14273751C211yesmaximal, characteristic, complemented
30C4×#14273748C211yesmaximal, characteristic, complemented
31C59×#3105C211yesmaximal, characteristic, complemented
32C2×#14273753C2211yescharacteristic
33C2×#14273751C2211yescharacteristic
34C2×#14273748C2211yescharacteristic
35#16838122C2211yescharacteristic, complemented
36#16838121C2211yescharacteristic, complemented
37#16838117C2211yescharacteristic
38#16838116C2211yescharacteristic
39#16838109C2211yescharacteristic, complemented
40#16838108C2211yescharacteristic, complemented
41#16838098—21no—
42#16838097—21no—
43#16838092—21no—
44#16838090C2211yescharacteristic, complemented
45#16838088—21no—
46#16838087C2211yescharacteristic
47#16838087C2211yescharacteristic, complemented
48#16838086C2211yescharacteristic
49#16838080—21no—
50#16838078—21no—
51#16838078—21no—
52#16838077—21no—
53#16838056C2211yescharacteristic
54#16838054C2211yescharacteristic
55#16838049C2211yescharacteristic
56#16838046C2211yescharacteristic
57#16838046C2211yescharacteristic, complemented
58#16838045C2211yescharacteristic, complemented
59#16837959C2211yescharacteristic, complemented
60#16837956C2211yescharacteristic, complemented
61#16837934—21no—
62#16837934C2211yescharacteristic
63#16837934C2211yescharacteristic, complemented
64#16837934C2211yescharacteristic, complemented
65#16837932—21no—
66#16837932—21no—
67#16837930—21no—
68#16837913—21no—
69#16837911—21no—
70C4×#11745689C2211yescharacteristic, complemented
71C4×#11745685C2211yescharacteristic
72C4×#11745685C2211yescharacteristic
73C4×#11745687C2211yescharacteristic
74C4×#11745687C2211yescharacteristic, complemented
75C4×D4×D59C2211yescharacteristic, complemented
76C2×#14273686—21no—
77#117×D59—21no—
78#16837812C2211yescharacteristic, complemented
79#16837809C2211yescharacteristic, complemented
80#16837803C2211yescharacteristic, complemented
81#16837797C2211yescharacteristic, complemented
82#16837793C2211yescharacteristic, complemented
83#16837785C2211yescharacteristic
84#16837772C2211yescharacteristic, complemented
85#16837769C2211yescharacteristic, complemented
86#16837761C2211yescharacteristic, complemented
87#16837760C2211yescharacteristic, complemented
88#16837755C2211yescharacteristic, complemented
89#16837755C2211yescharacteristic, complemented
90#16837746C2211yescharacteristic, complemented
91#16837746C2211yescharacteristic, complemented
92#16837745C2211yescharacteristic, complemented
93#16837744C2211yescharacteristic, complemented
94#16837744C2211yescharacteristic, complemented
95#16837742C2211yescharacteristic, complemented
96#16837739C2211yescharacteristic, complemented
97#16837725C2211yescharacteristic, complemented
98#16837724C2211yescharacteristic, complemented
99#16837719C2211yescharacteristic
100#16837708C2211yescharacteristic, complemented
101#16837707C2211yescharacteristic, complemented
102#16837705C2211yescharacteristic, complemented
103#16837704C2211yescharacteristic, complemented
104#16837701C2211yescharacteristic, complemented
105#16837700C2211yescharacteristic, complemented
106#16837688C2211yescharacteristic, complemented
107#16837686C2211yescharacteristic, complemented
108#16837683C2211yescharacteristic, complemented
109#16837680C2211yescharacteristic, complemented
110#16837661C2211yescharacteristic, complemented
111#16837659C2211yescharacteristic, complemented
112#16837658C2211yescharacteristic, complemented
113#16837658C2211yescharacteristic, complemented
114#16837647C2211yescharacteristic
115#16837646C2211yescharacteristic
116#16837646C2211yescharacteristic
117#16837645C2211yescharacteristic
118#16837644C2211yescharacteristic, complemented
119#16837635C2211yescharacteristic
120#16837630C2211yescharacteristic, complemented
121#16837630C2211yescharacteristic, complemented
122#16837623C2211yescharacteristic, complemented
123#16837622C2211yescharacteristic, complemented
124#16837616C2211yescharacteristic
125#16837616C2211yescharacteristic
126#16837615C2211yescharacteristic
127#16837615C2211yescharacteristic
128#16837613C2211yescharacteristic, complemented
129#16837611C2211yescharacteristic, complemented
130#16837608C2211yescharacteristic, complemented
131#16837605C2211yescharacteristic, complemented
132#16837567C2211yescharacteristic, complemented
133#16837566C2211yescharacteristic
134#16837566C2211yescharacteristic
135#16837565C2211yescharacteristic
136#16837565C2211yescharacteristic, complemented
137#16837561C2211yescharacteristic
138#16837554C2211yescharacteristic, complemented
139#16837546C2211yescharacteristic
140#16837544C2211yescharacteristic
141#16837534C2211yescharacteristic
142#16837531C2211yescharacteristic, complemented
143#16837531C2211yescharacteristic, complemented
144#16837514C2211yescharacteristic
145#16837512C2211yescharacteristic
146#16837512C2211yescharacteristic
147#16837511C2211yescharacteristic
148#16837502C2211yescharacteristic, complemented
149#16837502C2211yescharacteristic, complemented
150#16837501C2211yescharacteristic, complemented
151#16837499C2211yescharacteristic, complemented
152C4×Dic236C2211yescharacteristic, complemented
153C4×Dic236C2211yescharacteristic, complemented
154C4×#11745672C2211yescharacteristic, complemented
155C4×#11745672C2211yescharacteristic, complemented
156#16837494C2211yescharacteristic, complemented
157C4×#11745660C2211yescharacteristic, complemented
158C4×#11745660C2211yescharacteristic, complemented
159SD16×Dic59C2211yescharacteristic, complemented
160#16837489C2211yescharacteristic, complemented
161C4×#11745670C2211yescharacteristic, complemented
162C4×#11745670C2211yescharacteristic, complemented
163C4×#11745670C2211yescharacteristic, complemented
164C4×#11745670C2211yescharacteristic, complemented
165C4×#11745669C2211yescharacteristic
166C4×#11745669C2211yescharacteristic
167#16837482C2211yescharacteristic
168#16837477C2211yescharacteristic
169#16837477C2211yescharacteristic
170#16837476C2211yescharacteristic, complemented
171#16837476C2211yescharacteristic, complemented
172#16837472C2211yescharacteristic, complemented
173#16837472C2211yescharacteristic, complemented
174#16837453C2211yescharacteristic, complemented
175#16837453C2211yescharacteristic, complemented
176#16837443C2211yescharacteristic, complemented
177#16837442C2211yescharacteristic, complemented
178#16837437C2211yescharacteristic, complemented
179#16837407C2211yescharacteristic, complemented
180#16837405C2211yescharacteristic, complemented
181#16837401C2211yescharacteristic
182#16837400C2211yescharacteristic
183#16837397C2211yescharacteristic, complemented
184#16837395C2211yescharacteristic, complemented
185C4×#11745664C2211yescharacteristic, complemented
186C4×#11745659C2211yescharacteristic, complemented
187C4×C8×D59C2211yescharacteristic, complemented
188C59×#529C2211yescharacteristic
189C2×C4×D4×C59C2211yescharacteristic, complemented
190C59×#484C2211yescharacteristic, complemented
191C59×#481C2211yescharacteristic
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#463C2211yescharacteristic
195C59×#463C2211yescharacteristic
196C59×#450C2211yescharacteristic, complemented
197C59×#447C2211yescharacteristic
198C4×SD16×C59C2211yescharacteristic, complemented
199C4×SD16×C59C2211yescharacteristic, complemented
200C4×D8×C59C2211yescharacteristic
201C4×D8×C59C2211yescharacteristic
202C59×#431C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745685D411yescharacteristic
205C2×#11745685C2311yescharacteristic
206C2×#11745687C2311yescharacteristic
207C2×#11745687C2311yescharacteristic
208C2×D4×D59C2311yescharacteristic
209C22×C4×D59—21no—
210#14273753—24no—
211#14273751—24no—
212#14273748—24no—
213C2×Dic236C2311yescharacteristic
214C2×Dic236C2311yescharacteristic
215C2×#11745672C2311yescharacteristic
216C2×#11745672C2311yescharacteristic
217C2×#11745660C2311yescharacteristic
218C2×#11745660C2311yescharacteristic
219C2×#11745670C2311yescharacteristic
220C2×#11745670C2311yescharacteristic
221C2×#11745670C2311yescharacteristic
222C2×#11745670C2311yescharacteristic
223C2×#11745669C2311yescharacteristic
224C2×#11745669C2311yescharacteristic
225C2×#11745664C2311yescharacteristic
226C2×#11745664C2311yescharacteristic
227C2×#11745659C2311yescharacteristic
228C2×#11745659C2311yescharacteristic
229C2×C8×D59C2311yescharacteristic
230C2×C8×D59C2311yescharacteristic
231#14273727C2311yescharacteristic
232#14273727C2311yescharacteristic
233#14273726C2311yescharacteristic
234#14273725C2311yescharacteristic
235#14273722—21no—
236#14273722—21no—
237#14273722—21no—
238#14273720—21no—
239#14273720—21no—
240#14273720—21no—
241#14273720—21no—
242#14273720—21no—
243#14273720—21no—
244#14273720—21no—
245#14273720—21no—
246#14273719—21no—
247#14273718—21no—
248#14273718C2311yescharacteristic
249#14273718C2311yescharacteristic
250#14273718C2311yescharacteristic
251#14273717—21no—
252#14273717—21no—
253#14273717—21no—
254#14273717—21no—
255#14273714—21no—
256#14273714C2311yescharacteristic
257#14273714C2311yescharacteristic
258#14273714C2311yescharacteristic
259#14273713—21no—
260#14273713—21no—
261#14273713—21no—
262#14273712—21no—
263#14273712—21no—
264#14273711—21no—
265#14273711—21no—
266#14273710—21no—
267#14273710—21no—
268#14273709—21no—
269#14273709—21no—
270#14273709—21no—
271#14273709—21no—
272#14273709—21no—
273#14273709—21no—
274#14273709—21no—
275#14273708—21no—
276#14273708—21no—
277#14273707—21no—
278#14273707C2311yescharacteristic
279#14273707C2311yescharacteristic
280#14273707C2311yescharacteristic
281#14273707C2311yescharacteristic
282#14273706—21no—
283#14273706—21no—
284#14273706—21no—
285#14273706C2311yescharacteristic
286#14273706C2311yescharacteristic
287#14273705—21no—
288#14273705—21no—
289#14273705—21no—
290#14273704—21no—
291#14273704—21no—
292#14273704—21no—
293#14273703C2311yescharacteristic
294#14273701—21no—
295#14273701—21no—
296#14273700—21no—
297#14273700—21no—
298#14273699—21no—
299#14273699—21no—
300#14273699—21no—
301#14273698—21no—
302#14273698C2311yescharacteristic
303#14273698C2311yescharacteristic
304#14273698C2311yescharacteristic
305#14273697—21no—
306#14273696—21no—
307#14273696—21no—
308#14273695—21no—
309Q8×Dic59C2311yescharacteristic
310C4×Dic118—21no—
311C4×Dic118—21no—
312C4×Dic118D411yescharacteristic
313C4×Dic118C2311yescharacteristic
314C4×Dic118C2311yescharacteristic
315C4×Dic118C2311yescharacteristic
316C4×Dic118C2311yescharacteristic
317C4×Dic118C2311yescharacteristic
318#14273692C2311yescharacteristic
319#14273692C2311yescharacteristic
320C4×D236—21no—
321C4×D236D411yescharacteristic
322C4×D236C2311yescharacteristic
323C4×D236C2311yescharacteristic
324C4×D236C2311yescharacteristic
325D4×Dic59C2311yescharacteristic
326D4×Dic59C2311yescharacteristic
327D4×Dic59C2311yescharacteristic
328#14273689—21no—
329#14273689C2311yescharacteristic
330#14273689C2311yescharacteristic
331C4×C22⋊D59—21no—
332C4×C22⋊D59—21no—
333C4×C22⋊D59—21no—
334C4×C22⋊D59—21no—
335C4×C22⋊D59—21no—
336C4×C22⋊D59—21no—
337C4×C22⋊D59—21no—
338C4×C22⋊D59—21no—
339C4×C22⋊D59D411yescharacteristic
340C4×C22⋊D59D411yescharacteristic
341C4×C22⋊D59C2311yescharacteristic
342C4×C22⋊D59C2311yescharacteristic
343(C22⋊D59)⋊C4—21no—
344(C22⋊D59)⋊C4—21no—
345(C22⋊D59)⋊C4—21no—
346#14273686—21no—
347#14273686—21no—
348#14273686—21no—
349#14273686—21no—
350#14273686—21no—
351#14273686—21no—
352#14273686—21no—
353#14273686—21no—
354#14273686D411yescharacteristic
355#14273686C2311yescharacteristic
356#14273685—21no—
357#14273685—21no—
358#14273685—21no—
359#14273685C2311yescharacteristic
360#14273685C2311yescharacteristic
361#14273685C2311yescharacteristic
362#14273684—21no—
363#14273684—21no—
364#14273684D411yescharacteristic
365#14273684D411yescharacteristic
366#14273683—21no—
367#14273683—21no—
368#14273683—21no—
369#14273683—21no—
370C2×C4⋊Dic59—21no—
371C2×C4⋊Dic59—21no—
372C4⋊C4×D59—21no—
373C4⋊C4×D59—21no—
374C4⋊C4×D59C2311yescharacteristic
375C2×C22⋊Dic59—21no—
376C2×C22⋊Dic59—21no—
377C22⋊C4×D59—21no—
378C22⋊C4×D59—21no—
379C22⋊C4×D59—21no—
380C2×C4×Dic59—21no—
381C2×C4×Dic59—21no—
382C42×D59—21no—
383C42×D59—21no—
384C42×D59C2311yescharacteristic
385C42×D59C2311yescharacteristic
386#14273661C2311yescharacteristic
387#14273661C2311yescharacteristic
388#14273660C2311yescharacteristic
389#14273660C2311yescharacteristic
390#14273660C2311yescharacteristic
391#14273660C2311yescharacteristic
392#14273659C2311yescharacteristic
393#14273659C2311yescharacteristic
394#14273658C2311yescharacteristic
395#14273658C2311yescharacteristic
396#14273658C2311yescharacteristic
397#14273658C2311yescharacteristic
398Dic59⋊C8C2311yescharacteristic
399Dic59⋊C8C2311yescharacteristic
400Dic59⋊C8C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402#14273652C2311yescharacteristic
403#14273652C2311yescharacteristic
404#14273652C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273652C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273650C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273650C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273648C2311yescharacteristic
419#14273648C2311yescharacteristic
420#14273648C2311yescharacteristic
421#14273648C2311yescharacteristic
422#14273648C2311yescharacteristic
423#14273648C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426(C2×D59)⋊C8C2311yescharacteristic
427(C2×D59)⋊C8C2311yescharacteristic
428(C2×D59)⋊C8C2311yescharacteristic
429(C2×D59)⋊C8C2311yescharacteristic
430#14273638C2311yescharacteristic
431#14273638C2311yescharacteristic
432#14273637C2311yescharacteristic
433#14273637C2311yescharacteristic
434C4×C59⋊C8C2311yescharacteristic
435C4×C59⋊C8C2311yescharacteristic
436C8×Dic59C2311yescharacteristic
437C8×Dic59C2311yescharacteristic
438C22×D4×C59C2311yescharacteristic
439C23×C4×C59—21no—
440C2×SD16×C59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×D8×C59C2311yescharacteristic
443C2×D8×C59C2311yescharacteristic
444#126×C59—21no—
445#125×C59C2311yescharacteristic
446#124×C59C2311yescharacteristic
447#123×C59—21no—
448C22⋊Q8×C59C2311yescharacteristic
449#121×C59C2311yescharacteristic
450C4×Q8×C59C2311yescharacteristic
451C4×D4×C59—21no—
452C4×D4×C59—21no—
453C4×D4×C59—21no—
454C4×D4×C59C2311yescharacteristic
455C4×D4×C59C2311yescharacteristic
456C4×D4×C59C2311yescharacteristic
457C4×D4×C59C2311yescharacteristic
458C4×D4×C59C2311yescharacteristic
459#117×C59—21no—
460C2×C4⋊C4×C59C2311yescharacteristic
461C2×C22⋊C4×C59—21no—
462C2×C42×C59C2311yescharacteristic
463#107×C59C2311yescharacteristic
464#107×C59C2311yescharacteristic
465#106×C59C2311yescharacteristic
466#106×C59C2311yescharacteristic
467C4⋊C8×C59C2311yescharacteristic
468C4⋊C8×C59C2311yescharacteristic
469#103×C59C2311yescharacteristic
470#103×C59C2311yescharacteristic
471#102×C59C2311yescharacteristic
472#102×C59C2311yescharacteristic
473#102×C59C2311yescharacteristic
474#102×C59C2311yescharacteristic
475#102×C59C2311yescharacteristic
476#102×C59C2311yescharacteristic
477C22⋊C8×C59C2311yescharacteristic
478C22⋊C8×C59C2311yescharacteristic
479C4×C8×C59C2311yescharacteristic
480C4×C8×C59C2311yescharacteristic
481C24×C59—21no—
482C23×D59—21no—
483C2×Q8×C59C2411yescharacteristic
484C2×D4×C59—22no—
485C2×D4×C59—21no—
486C2×D4×C59—21no—
487C2×D4×C59—41no—
488C2×D4×C59C2411yescharacteristic
489C2×D4×C59C2411yescharacteristic
490C2×D4×C59C2411yescharacteristic
491C22×C4×C59—21no—
492C22×C4×C59—21no—
493C22×C4×C59—21no—
494C22×C4×C59—21no—
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59—44no—
498C22×C4×C59C2×D411yescharacteristic
499C22×C4×C59C2×D411yescharacteristic
500C22×C4×C59C2411yescharacteristic
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59—21no—
505C2×C22⋊D59—21no—
506C2×C22⋊D59—21no—
507C2×C22⋊D59—21no—
508C2×C22⋊D59C2×D411yescharacteristic
509C2×C22⋊D59C2×D411yescharacteristic
510C22×Dic59—21no—
511C22×Dic59—21no—
512C22×Dic59—21no—
513C22×Dic59—21no—
514C22×Dic59—21no—
515#11745689—22no—
516#11745689—41no—
517#11745687—22no—
518#11745687—22no—
519#11745687—41no—
520#11745687—41no—
521D4×D59—22no—
522D4×D59—41no—
523#11745685—22no—
524#11745685—41no—
525#11745685—42no—
526C2×D236—21no—
527C2×D236C2×D411yescharacteristic
528C2×D236C2411yescharacteristic
529C2×C4×D59—21no—
530C2×C4×D59—21no—
531C2×C4×D59—21no—
532C2×C4×D59—21no—
533C2×C4×D59—21no—
534C2×C4×D59—21no—
535C2×C4×D59—21no—
536C2×C4×D59—44no—
537C2×C4×D59C2×D411yescharacteristic
538C2×C4×D59C2×D411yescharacteristic
539C2×C4×D59C2×D411yescharacteristic
540C2×C4×D59C2×D411yescharacteristic
541C2×C4×D59C2411yescharacteristic
542C2×C4×D59C2411yescharacteristic
543C2×Dic118—21no—
544C2×Dic118—21no—
545C2×Dic118C2×D411yescharacteristic
546C2×Dic118C2411yescharacteristic
547C2×Dic118C2411yescharacteristic
548C2×Dic118C2411yescharacteristic
549SD16×C59—22no—
550SD16×C59—41no—
551D8×C59—22no—
552D8×C59—41no—
553C2×C8×C59C2411yescharacteristic
554C2×C8×C59C2411yescharacteristic
555C2×C8×C59C2411yescharacteristic
556C2×C8×C59C2411yescharacteristic
557C4⋊C4×C59—21no—
558C4⋊C4×C59—21no—
559C4⋊C4×C59—21no—
560C4⋊C4×C59—21no—
561C4⋊C4×C59—21no—
562C4⋊C4×C59C2411yescharacteristic
563C4⋊C4×C59C2411yescharacteristic
564C4⋊C4×C59C2411yescharacteristic
565C4⋊C4×C59C2411yescharacteristic
566C22⋊C4×C59—21no—
567C22⋊C4×C59—21no—
568C22⋊C4×C59—21no—
569C22⋊C4×C59—21no—
570C22⋊C4×C59—21no—
571C22⋊C4×C59—21no—
572C22⋊C4×C59—21no—
573C22⋊C4×C59—21no—
574C22⋊C4×C59—21no—
575C42×C59—21no—
576C42×C59C2×D411yescharacteristic
577C42×C59C2×D411yescharacteristic
578C42×C59C2411yescharacteristic
579C42×C59C2411yescharacteristic
580C22⋊Dic59—21no—
581C22⋊Dic59—21no—
582C22⋊Dic59—21no—
583C22⋊Dic59—21no—
584C22⋊Dic59—21no—
585C22⋊Dic59—21no—
586C22⋊Dic59—21no—
587C22⋊Dic59—21no—
588C22⋊Dic59—21no—
589C22⋊Dic59—21no—
590C22⋊Dic59—21no—
591C22⋊Dic59—21no—
592C22⋊Dic59—21no—
593C22⋊Dic59—21no—
594C22⋊Dic59—21no—
595C22⋊Dic59C2×D411yescharacteristic
596C22⋊Dic59C2×D411yescharacteristic
597#11745672—22no—
598#11745672—41no—
599#11745670—22no—
600#11745670—22no—
601#11745670—22no—
602#11745670—41no—
603#11745669—22no—
604#11745669#4114yescomplemented
605(C2×D59)⋊C4—21no—
606(C2×D59)⋊C4—21no—
607(C2×D59)⋊C4—21no—
608(C2×D59)⋊C4—21no—
609(C2×D59)⋊C4—21no—
610(C2×D59)⋊C4—21no—
611(C2×D59)⋊C4—21no—
612(C2×D59)⋊C4—21no—
613(C2×D59)⋊C4—21no—
614(C2×D59)⋊C4—21no—
615(C2×D59)⋊C4—21no—
616(C2×D59)⋊C4—21no—
617(C2×D59)⋊C4C2×D411yescharacteristic
618(C2×D59)⋊C4C2×D411yescharacteristic
619(C2×D59)⋊C4C2×D411yescharacteristic
620(C2×D59)⋊C4C2×D411yescharacteristic
621C4⋊Dic59—21no—
622C4⋊Dic59—21no—
623C4⋊Dic59—21no—
624C4⋊Dic59—21no—
625C4⋊Dic59—21no—
626C4⋊Dic59—21no—
627C4⋊Dic59—21no—
628C4⋊Dic59—21no—
629C4⋊Dic59—21no—
630C4⋊Dic59—21no—
631C4⋊Dic59—21no—
632C4⋊Dic59C2×D411yescharacteristic
633C4⋊Dic59C2×D411yescharacteristic
634C4⋊Dic59C2411yescharacteristic
635C4⋊Dic59C2411yescharacteristic
636C4⋊Dic59C2411yescharacteristic
637C4⋊Dic59C2411yescharacteristic
638Dic59⋊C4—21no—
639Dic59⋊C4—21no—
640Dic59⋊C4—21no—
641Dic59⋊C4—21no—
642Dic59⋊C4—21no—
643Dic59⋊C4—21no—
644Dic59⋊C4—21no—
645Dic59⋊C4—21no—
646Dic59⋊C4—21no—
647Dic59⋊C4—21no—
648Dic59⋊C4—21no—
649Dic59⋊C4—21no—
650Dic59⋊C4—21no—
651Dic59⋊C4—21no—
652Dic59⋊C4—21no—
653Dic59⋊C4—21no—
654Dic59⋊C4C2×D411yescharacteristic
655Dic59⋊C4C2×D411yescharacteristic
656Dic59⋊C4C2×D411yescharacteristic
657Dic59⋊C4C2×D411yescharacteristic
658C4×Dic59—21no—
659C4×Dic59—21no—
660C4×Dic59—21no—
661C4×Dic59—21no—
662C4×Dic59—21no—
663C4×Dic59—21no—
664C4×Dic59—21no—
665C4×Dic59—21no—
666C4×Dic59—21no—
667C4×Dic59—21no—
668C4×Dic59—21no—
669C4×Dic59C2×D411yescharacteristic
670C4×Dic59C2×D411yescharacteristic
671C4×Dic59C2×D411yescharacteristic
672C4×Dic59C2×D411yescharacteristic
673C4×Dic59C2411yescharacteristic
674C4×Dic59C2411yescharacteristic
675#11745664—22no—
676#11745664—41no—
677C2×C59⋊C8C2411yescharacteristic
678C2×C59⋊C8C2411yescharacteristic
679C2×C59⋊C8C2411yescharacteristic
680C2×C59⋊C8C2411yescharacteristic
681Dic236—41no—
682Dic236—41no—
683#11745660—22no—
684#11745660—22no—
685#11745659—22no—
686#11745659—41no—
687C8×D59—22no—
688C8×D59—41no—
689C23×C59—21no—
690C23×C59—21no—
691C23×C59—21no—
692C23×C59—42no—
693C23×C59—42no—
694C23×C59—81no—
695C23×C59C22×D411yescharacteristic
696C22×D59—21no—
697C22×D59—42no—
698C22×D59—42no—
699C22×D59—81no—
700C22×D59C22×D411yescharacteristic
701C22×D59C22×D411yescharacteristic
702Q8×C59—21no—
703Q8×C59—21no—
704D4×C59—21no—
705D4×C59—21no—
706D4×C59—21no—
707D4×C59—21no—
708D4×C59—21no—
709D4×C59—42no—
710D4×C59—81no—
711D4×C59C2×#4112yes—
712C2×C4×C59—22no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—41no—
721C2×C4×C59—42no—
722C2×C4×C59—42no—
723C2×C4×C59—42no—
724C2×C4×C59—42no—
725C2×C4×C59—42no—
726C2×C4×C59—42no—
727C2×C4×C59C22×D411yescharacteristic
728C2×C4×C59C22×D411yescharacteristic
729C2×C4×C59C22×D411yescharacteristic
730C2×C4×C59C22×D411yescharacteristic
731C2×C4×C59C22×D411yescharacteristic
732C2×C4×C59C2511yescharacteristic
733C22⋊D59—41no—
734C22⋊D59—41no—
735C22⋊D59—42no—
736C22⋊D59—42no—
737C22⋊D59—42no—
738C22⋊D59—42no—
739C22⋊D59—81no—
740C22⋊D59—81no—
741C22⋊D59—81no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—42no—
750C2×Dic59—42no—
751C2×Dic59—42no—
752C2×Dic59—81no—
753C2×Dic59—81no—
754C2×Dic59C22×D411yescharacteristic
755C2×Dic59C22×D411yescharacteristic
756C2×Dic59C22×D411yescharacteristic
757C2×Dic59C22×D411yescharacteristic
758C2×Dic59C22×D411yescharacteristic
759C2×Dic59C22×D411yescharacteristic
760D236—21no—
761D236—41no—
762D236—42no—
763D236C2×#4112yes—
764C4×D59—22no—
765C4×D59—22no—
766C4×D59—21no—
767C4×D59—21no—
768C4×D59—21no—
769C4×D59—21no—
770C4×D59—41no—
771C4×D59—41no—
772C4×D59—42no—
773C4×D59—42no—
774C4×D59—42no—
775C4×D59—42no—
776C4×D59—42no—
777C4×D59—81no—
778C4×D59—81no—
779Dic118—21no—
780Dic118—21no—
781Dic118—21no—
782Dic118—21no—
783Dic118—21no—
784Dic118—21no—
785Dic118—41no—
786Dic118—81no—
787Dic118—81no—
788C8×C59—21no—
789C8×C59—21no—
790C8×C59—21no—
791C8×C59—21no—
792C59⋊C8—21no—
793C59⋊C8—21no—
794C59⋊C8—21no—
795C59⋊C8C2×#4112yes—
796#61442—591nomaximal, Sylow
797C22×C59—21no—
798C22×C59—22no—
799C22×C59—21no—
800C22×C59—21no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59—41no—
807C22×C59—41no—
808C22×C59—41no—
809C22×C59—84no—
810C22×C59C23×D411yescharacteristic
811C2×D59—21no—
812C2×D59—21no—
813C2×D59—21no—
814C2×D59—21no—
815C2×D59—22no—
816C2×D59—21no—
817C2×D59—21no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—84no—
821C4×C59—21no—
822C4×C59—21no—
823C4×C59—21no—
824C4×C59—21no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59#57512yes—
831C4×C59C22×#4111yescharacteristic
832C4×C59#58511yescharacteristic
833Dic59—21no—
834Dic59—21no—
835Dic59—21no—
836Dic59—21no—
837Dic59—21no—
838Dic59—21no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846#3475—591no—
847#3475—591no—
848#3402—591no—
849#3389—591no—
850#3376—591no—
851#3376—591no—
852#3352—591no—
853#3348—591no—
854#3348—591no—
855#3323—591no—
856#3323—591no—
857#3319—591no—
858#3319—591no—
859#3315—591no—
860#3315—591no—
861#3273—591no—
862#3267—591no—
863#3267—591no—
864#3172—591no—
865#3172—591no—
866#3168—591no—
867#3107—591no—
868#3107—591no—
869#3105—591no—
870#3105D5911yescharacteristic, complemented
871#3102—591no—
872#3102—591no—
873#2965—591no—
874C4×AGL(1,ℤ/8)—591no—
875C4×AGL(1,ℤ/8)—591no—
876C4×#135—591no—
877C2×C59—41no—
878C2×C59—42no—
879C2×C59—81no—
880C2×C59—81no—
881C2×C59D4×#4111yescharacteristic
882C2×C59C2×#57511yescharacteristic
883C2×C59#358411yescharacteristic
884D59—41no—
885D59—41no—
886D59—42no—
887C2×AGL(1,ℤ/8)—591no—
888C2×AGL(1,ℤ/8)—591no—
889C2×#135—591no—
890#556—591no—
891#556—591no—
892#555—591no—
893#555—591no—
894#554—591no—
895#554—591no—
896#553—1181no—
897#553—1181no—
898#552—591no—
899#552—591no—
900#552—591no—
901#552—591no—
902#552—1181no—
903#552—1181no—
904#551—1181no—
905#551—1181no—
906#551—1181no—
907#551—1181no—
908#547—591no—
909#547—591no—
910#546—591no—
911#546—591no—
912#546—591no—
913#546—591no—
914#533—591no—
915#533—591no—
916#529—591no—
917#529—591no—
918#529—591no—
919#529—1181no—
920#529—1181no—
921#529—1181no—
922#529—1181no—
923#529C2×D5911yescharacteristic
924#525—1181no—
925#525—1181no—
926C4×#41—591no—
927C4×#41—591no—
928C4×#41—591no—
929C4×#41—591no—
930C4×#41—591no—
931C2×C4×D4—591no—
932C2×C4×D4C2×D5911yescharacteristic, complemented
933C2×#117—1181no—
934C2×#117—1181no—
935#501—591no—
936#501—591no—
937#499—591no—
938#497—591no—
939#497—591no—
940#495—591no—
941#491—591no—
942#491—591no—
943#489—591no—
944#489—591no—
945#488—591no—
946#488—591no—
947#485—591no—
948#485—591no—
949#485—591no—
950#485—591no—
951#485—591no—
952#485—591no—
953#484—591no—
954#484C2×D5911yescharacteristic, complemented
955#482—591no—
956#482—591no—
957#481—591no—
958#481C2×D5911yescharacteristic
959#479—591no—
960#479—591no—
961#478—591no—
962#478—591no—
963#478—591no—
964#478—591no—
965#478C2×D5911yescharacteristic, complemented
966#478C2×D5911yescharacteristic, complemented
967#475—591no—
968#475—591no—
969#474—591no—
970#474—591no—
971#470—591no—
972#470—591no—
973#470—591no—
974#470—591no—
975#468—591no—
976#468—591no—
977#468—591no—
978#468—591no—
979#467—591no—
980#466—591no—
981#465—591no—
982#465—591no—
983#464—591no—
984#464—591no—
985#463—591no—
986#463—591no—
987#463—591no—
988#463—591no—
989#463C2×D5911yescharacteristic
990#463C2×D5911yescharacteristic
991#462—591no—
992#462—591no—
993#461—591no—
994#461—591no—
995#452—591no—
996#452—591no—
997#452—591no—
998#452—591no—
999#452—591no—
1000#452—591no—
1001#450—591no—
1002#450C2×D5911yescharacteristic, complemented
1003#449—591no—
1004#449—591no—
1005#447—591no—
1006#447C2×D5911yescharacteristic
1007#446—591no—
1008#446—591no—
1009#442—591no—
1010#442—591no—
1011#442—591no—
1012#442—591no—
1013#440—591no—
1014#440—591no—
1015#440—591no—
1016#440—591no—
1017C4×Q16—591no—
1018C4×Q16—591no—
1019C4×Q16—591no—
1020C4×Q16—591no—
1021C4×Q16—591no—
1022C4×SD16—591no—
1023C4×SD16—591no—
1024C4×SD16—591no—
1025C4×SD16—591no—
1026C4×SD16—591no—
1027C4×SD16—591no—
1028C4×SD16—591no—
1029C4×SD16—591no—
1030C4×SD16C2×D5911yescharacteristic, complemented
1031C4×SD16C2×D5911yescharacteristic, complemented
1032C4×D8—591no—
1033C4×D8—591no—
1034C4×D8—591no—
1035C4×D8C2×D5911yescharacteristic
1036C4×D8C2×D5911yescharacteristic
1037#436—591no—
1038#436—591no—
1039#435—591no—
1040#435—591no—
1041#435—591no—
1042#435—591no—
1043#431—591no—
1044#431—591no—
1045#431C2×D5911yescharacteristic, complemented
1046#428—591no—
1047#428—591no—
1048#427—591no—
1049#418—591no—
1050#418—591no—
1051#417—591no—
1052#417—591no—
1053#416—591no—
1054#416—591no—
1055C4×M16—591no—
1056C4×M16—591no—
1057C2×C4×C8—591no—
1058C59#6144211yescharacteristic, complemented, Sylow
1059C2×#41—591no—
1060C2×#41—591no—
1061C2×#41—591no—
1062C2×#41—591no—
1063C2×#41—591no—
1064C22×D4—591no—
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—21no—
1067C23×C4—1181no—
1068AGL(1,ℤ/8)—1184no—
1069AGL(1,ℤ/8)—1184no—
1070#135—1184no—
1071C2×Q16—591no—
1072C2×Q16—591no—
1073C2×Q16—591no—
1074C2×Q16—591no—
1075C2×SD16—591no—
1076C2×SD16—591no—
1077C2×SD16—591no—
1078C2×SD16—591no—
1079C2×SD16—591no—
1080C2×SD16—591no—
1081C2×SD16C22×D5911yescharacteristic
1082C2×SD16C22×D5911yescharacteristic
1083C2×D8—591no—
1084C2×D8—591no—
1085C2×D8C22×D5911yescharacteristic
1086C2×D8C22×D5911yescharacteristic
1087C2×M16—591no—
1088C2×M16—591no—
1089C2×M16—591no—
1090C2×M16—591no—
1091C22×C8—591no—
1092C22×C8—591no—
1093C4⋊Q8—591no—
1094C4⋊Q8—591no—
1095C4⋊Q8—591no—
1096C4⋊Q8—591no—
1097#126—21no—
1098#126—1181no—
1099#126—1181no—
1100#126—1181no—
1101#126—1181no—
1102#126—1181no—
1103#126—1181no—
1104#126—1181no—
1105#126—1181no—
1106#126—1181no—
1107#126—1181no—
1108#126—1181no—
1109#125—591no—
1110#125—591no—
1111#125—591no—
1112#125—1181no—
1113#125—1181no—
1114#125—1181no—
1115#125—1181no—
1116#125—1181no—
1117#125—1181no—
1118#125C22×D5911yescharacteristic
1119#124—591no—
1120#124—591no—
1121#124—591no—
1122#124—1181no—
1123#124—1181no—
1124#124—1181no—
1125#124—1181no—
1126#124C22×D5911yescharacteristic
1127#123—21no—
1128#123—1181no—
1129#123—1181no—
1130#123—1181no—
1131#123—1181no—
1132#123—1181no—
1133#123—1181no—
1134#123—1181no—
1135#123—1181no—
1136#123—1181no—
1137#123—1181no—
1138#123—1181no—
1139#123—1181no—
1140#123—1181no—
1141#123—1181no—
1142#123—1181no—
1143C22⋊Q8—591no—
1144C22⋊Q8—591no—
1145C22⋊Q8—591no—
1146C22⋊Q8—591no—
1147C22⋊Q8—591no—
1148C22⋊Q8—591no—
1149C22⋊Q8—591no—
1150C22⋊Q8—1181no—
1151C22⋊Q8—1181no—
1152C22⋊Q8—1181no—
1153C22⋊Q8—1181no—
1154C22⋊Q8—1181no—
1155C22⋊Q8—1181no—
1156C22⋊Q8—1181no—
1157C22⋊Q8—1181no—
1158C22⋊Q8—1181no—
1159C22⋊Q8—1181no—
1160C22⋊Q8C22×D5911yescharacteristic
1161#121—591no—
1162#121—591no—
1163#121—591no—
1164#121—1181no—
1165#121—1181no—
1166#121—1181no—
1167#121—1181no—
1168#121—1181no—
1169#121—1181no—
1170#121—1181no—
1171#121—1181no—
1172#121C22×D5911yescharacteristic
1173#120—1181no—
1174#120—1181no—
1175#120—1181no—
1176#120—1181no—
1177C4×Q8—591no—
1178C4×Q8—591no—
1179C4×Q8—591no—
1180C4×Q8—591no—
1181C4×Q8—591no—
1182C4×Q8—591no—
1183C4×Q8—591no—
1184C4×Q8—591no—
1185C4×Q8—591no—
1186C4×Q8—1181no—
1187C4×Q8—1181no—
1188C4×Q8C22×D5911yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—591no—
1193C4×D4—591no—
1194C4×D4—591no—
1195C4×D4—591no—
1196C4×D4—591no—
1197C4×D4—591no—
1198C4×D4—591no—
1199C4×D4—591no—
1200C4×D4—591no—
1201C4×D4—591no—
1202C4×D4—591no—
1203C4×D4—591no—
1204C4×D4—591no—
1205C4×D4—1181no—
1206C4×D4—1181no—
1207C4×D4—1181no—
1208C4×D4—1181no—
1209C4×D4—1181no—
1210C4×D4—1181no—
1211C4×D4—1181no—
1212C4×D4—1181no—
1213C4×D4—1181no—
1214C4×D4—1181no—
1215C4×D4—1181no—
1216C4×D4—1181no—
1217C4×D4—1181no—
1218C4×D4C22×D5911yescharacteristic
1219C4×D4C22×D5911yescharacteristic
1220C4×D4C22×D5911yescharacteristic
1221C4×D4C22×D5911yescharacteristic
1222C4×D4C22×D5911yescharacteristic
1223#117—21no—
1224#117—591no—
1225#117—591no—
1226#117—591no—
1227#117—591no—
1228#117—591no—
1229#117—591no—
1230#117—591no—
1231#117—1181no—
1232#117—1181no—
1233#117—1181no—
1234#117—1181no—
1235#117—1181no—
1236#117—1181no—
1237#117—1181no—
1238#117—1181no—
1239#117—1181no—
1240#117—1181no—
1241#117—1181no—
1242#117—1181no—
1243#117—1181no—
1244#117—1181no—
1245#117—1181no—
1246#117—1181no—
1247#117—1181no—
1248C2×C4⋊C4—591no—
1249C2×C4⋊C4—1181no—
1250C2×C4⋊C4—1181no—
1251C2×C4⋊C4—1181no—
1252C2×C4⋊C4—1181no—
1253C2×C4⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4—21no—
1255C2×C22⋊C4—1181no—
1256C2×C22⋊C4—1181no—
1257C2×C22⋊C4—1181no—
1258C2×C22⋊C4—1181no—
1259C2×C22⋊C4—1181no—
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—1181no—
1263C2×C42—1181no—
1264C2×C42—1181no—
1265C2×C42—1181no—
1266C2×C42C22×D5911yescharacteristic
1267#107—591no—
1268#107—591no—
1269#107—591no—
1270#107—591no—
1271#107—591no—
1272#107—591no—
1273#107C22×D5911yescharacteristic
1274#107C22×D5911yescharacteristic
1275#106—591no—
1276#106—591no—
1277#106—591no—
1278#106—591no—
1279#106—591no—
1280#106—591no—
1281#106C22×D5911yescharacteristic
1282#106C22×D5911yescharacteristic
1283C4⋊C8—591no—
1284C4⋊C8—591no—
1285C4⋊C8—591no—
1286C4⋊C8—591no—
1287C4⋊C8C22×D5911yescharacteristic
1288C4⋊C8C22×D5911yescharacteristic
1289#103—591no—
1290#103—591no—
1291#103—591no—
1292#103—591no—
1293#103—591no—
1294#103—591no—
1295#103—591no—
1296#103—591no—
1297#103—591no—
1298#103—591no—
1299#103—591no—
1300#103—591no—
1301#103—591no—
1302#103—591no—
1303#103C22×D5911yescharacteristic
1304#103C22×D5911yescharacteristic
1305#102—591no—
1306#102—591no—
1307#102—591no—
1308#102—591no—
1309#102—591no—
1310#102—591no—
1311#102—591no—
1312#102—591no—
1313#102—591no—
1314#102—591no—
1315#102C22×D5911yescharacteristic
1316#102C22×D5911yescharacteristic
1317#102C22×D5911yescharacteristic
1318#102C22×D5911yescharacteristic
1319#102C22×D5911yescharacteristic
1320#102C22×D5911yescharacteristic
1321C22⋊C8—591no—
1322C22⋊C8—591no—
1323C22⋊C8—591no—
1324C22⋊C8—591no—
1325C22⋊C8C22×D5911yescharacteristic
1326C22⋊C8C22×D5911yescharacteristic
1327#97—591no—
1328#97—591no—
1329#97—591no—
1330#97—591no—
1331C4×C8—591no—
1332C4×C8—591no—
1333C4×C8—591no—
1334C4×C8—591no—
1335C4×C8C22×D5911yescharacteristic
1336C4×C8C22×D5911yescharacteristic
1337C24—21no—
1338C24—1181no—
1339#41—1182no—
1340#41—1182no—
1341#41—1182no—
1342#41—1182no—
1343#41—2362no—
1344#41—2361no—
1345#41—2361no—
1346#41—2361no—
1347#41—2361no—
1348C2×Q8—591no—
1349C2×Q8—591no—
1350C2×Q8—591no—
1351C2×Q8—591no—
1352C2×Q8—1181no—
1353C2×Q8—1181no—
1354C2×Q8C23×D5911yescharacteristic
1355C2×D4—22no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—41no—
1359C2×D4—591no—
1360C2×D4—591no—
1361C2×D4—591no—
1362C2×D4—591no—
1363C2×D4—1181no—
1364C2×D4—1181no—
1365C2×D4—1182no—
1366C2×D4—1181no—
1367C2×D4—1181no—
1368C2×D4—1181no—
1369C2×D4—1181no—
1370C2×D4—1181no—
1371C2×D4—1181no—
1372C2×D4—2361no—
1373C2×D4C23×D5911yescharacteristic
1374C2×D4C23×D5911yescharacteristic
1375C2×D4C23×D5911yescharacteristic
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—44no—
1383C22×C4—591no—
1384C22×C4—591no—
1385C22×C4—591no—
1386C22×C4—591no—
1387C22×C4—591no—
1388C22×C4—591no—
1389C22×C4—1181no—
1390C22×C4—1181no—
1391C22×C4—1181no—
1392C22×C4—1181no—
1393C22×C4—1181no—
1394C22×C4—1181no—
1395C22×C4—1181no—
1396C22×C4—1181no—
1397C22×C4—1181no—
1398C22×C4—1181no—
1399C22×C4—1181no—
1400C22×C4—1181no—
1401C22×C4—2364no—
1402C22×C4D4×D5911yescharacteristic
1403C22×C4D4×D5911yescharacteristic
1404C22×C4C23×D5911yescharacteristic
1405Q16—1182no—
1406Q16—2361no—
1407Q16—2361no—
1408Q16—2361no—
1409SD16—22no—
1410SD16—41no—
1411SD16—1182no—
1412SD16—1182no—
1413SD16—1182no—
1414SD16—1182no—
1415SD16—1182no—
1416SD16—2361no—
1417D8—22no—
1418D8—41no—
1419D8—594no—
1420D8—1182no—
1421M16—1182no—
1422M16—1182no—
1423M16—2361no—
1424M16—2361no—
1425C2×C8—591no—
1426C2×C8—591no—
1427C2×C8—591no—
1428C2×C8—591no—
1429C2×C8—1182no—
1430C2×C8—2361no—
1431C2×C8C23×D5911yescharacteristic
1432C2×C8C23×D5911yescharacteristic
1433C2×C8C23×D5911yescharacteristic
1434C2×C8C23×D5911yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—591no—
1441C4⋊C4—591no—
1442C4⋊C4—591no—
1443C4⋊C4—591no—
1444C4⋊C4—591no—
1445C4⋊C4—591no—
1446C4⋊C4—591no—
1447C4⋊C4—591no—
1448C4⋊C4—591no—
1449C4⋊C4—591no—
1450C4⋊C4—1181no—
1451C4⋊C4—1181no—
1452C4⋊C4—1181no—
1453C4⋊C4—1181no—
1454C4⋊C4—1181no—
1455C4⋊C4—1181no—
1456C4⋊C4—1181no—
1457C4⋊C4—1181no—
1458C4⋊C4—1181no—
1459C4⋊C4—1181no—
1460C4⋊C4—1181no—
1461C4⋊C4—1181no—
1462C4⋊C4—1181no—
1463C4⋊C4—1181no—
1464C4⋊C4—1181no—
1465C4⋊C4—1181no—
1466C4⋊C4—1181no—
1467C4⋊C4—1181no—
1468C4⋊C4—1181no—
1469C4⋊C4—1181no—
1470C4⋊C4—1181no—
1471C4⋊C4—1181no—
1472C4⋊C4—1181no—
1473C4⋊C4—1181no—
1474C4⋊C4—1181no—
1475C4⋊C4—1181no—
1476C4⋊C4—1181no—
1477C4⋊C4C23×D5911yescharacteristic
1478C4⋊C4C23×D5911yescharacteristic
1479C4⋊C4C23×D5911yescharacteristic
1480C4⋊C4C23×D5911yescharacteristic
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—591no—
1491C22⋊C4—591no—
1492C22⋊C4—591no—
1493C22⋊C4—591no—
1494C22⋊C4—591no—
1495C22⋊C4—591no—
1496C22⋊C4—1181no—
1497C22⋊C4—1181no—
1498C22⋊C4—1181no—
1499C22⋊C4—1181no—
1500C22⋊C4—1181no—
1501C22⋊C4—1181no—
1502C22⋊C4—1181no—
1503C22⋊C4—1181no—
1504C22⋊C4—1181no—
1505C22⋊C4—1181no—
1506C22⋊C4—1181no—
1507C22⋊C4—1181no—
1508C22⋊C4—1181no—
1509C22⋊C4—1181no—
1510C22⋊C4—1181no—
1511C22⋊C4—1181no—
1512C22⋊C4—1181no—
1513C22⋊C4—1181no—
1514C22⋊C4—1181no—
1515C22⋊C4—1181no—
1516C22⋊C4—1181no—
1517C22⋊C4—1181no—
1518C22⋊C4—1181no—
1519C22⋊C4—1181no—
1520C22⋊C4—1181no—
1521C22⋊C4—1181no—
1522C22⋊C4—1181no—
1523C42—21no—
1524C42—591no—
1525C42—591no—
1526C42—591no—
1527C42—591no—
1528C42—591no—
1529C42—591no—
1530C42—1181no—
1531C42—1181no—
1532C42—1181no—
1533C42—1181no—
1534C42—1181no—
1535C42—1181no—
1536C42—1181no—
1537C42—1181no—
1538C42—1181no—
1539C42—1181no—
1540C42—1181no—
1541C42D4×D5911yescharacteristic
1542C42D4×D5911yescharacteristic
1543C42C23×D5911yescharacteristic
1544C42C23×D5911yescharacteristic
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—42no—
1549C23—42no—
1550C23—81no—
1551C23—591no—
1552C23—591no—
1553C23—1181no—
1554C23—4721no—
1555C23—2362no—
1556C23—2362no—
1557C23C2×D4×D5911yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—1181no—
1561Q8—1181no—
1562Q8—1181no—
1563Q8—1181no—
1564Q8—1181no—
1565Q8—1181no—
1566Q8—4721no—
1567Q8—4721no—
1568Q8—2361no—
1569D4—21no—
1570D4—21no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—42no—
1575D4—81no—
1576D4—592no—
1577D4—1181no—
1578D4—4721no—
1579D4—4721no—
1580D4—4721no—
1581D4—2361no—
1582D4—2362no—
1583D4—2361no—
1584D4—2361no—
1585D4—2362no—
1586D4—2362no—
1587D4—2362no—
1588D4—2362no—
1589D4#41×D5912yes—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—41no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—42no—
1602C2×C4—42no—
1603C2×C4—42no—
1604C2×C4—42no—
1605C2×C4—591no—
1606C2×C4—591no—
1607C2×C4—591no—
1608C2×C4—591no—
1609C2×C4—591no—
1610C2×C4—591no—
1611C2×C4—1182no—
1612C2×C4—1182no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—4721no—
1625C2×C4—4721no—
1626C2×C4—4721no—
1627C2×C4—4721no—
1628C2×C4—2361no—
1629C2×C4—2361no—
1630C2×C4—2362no—
1631C2×C4—2362no—
1632C2×C4—2362no—
1633C2×C4—2362no—
1634C2×C4—2362no—
1635C2×C4—2362no—
1636C2×C4—2362no—
1637C2×C4—2362no—
1638C2×C4C2×D4×D5911yescharacteristic
1639C2×C4C2×D4×D5911yescharacteristic
1640C2×C4C2×D4×D5911yescharacteristic
1641C2×C4C2×D4×D5911yescharacteristic
1642C2×C4C2×D4×D5911yescharacteristic
1643C2×C4C24×D5911yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—592no—
1649C8—1181no—
1650C8—1181no—
1651C8—1181no—
1652C22—21no—
1653C22—21no—
1654C22—22no—
1655C22—21no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—84no—
1665C22—1181no—
1666C22—1181no—
1667C22—1181no—
1668C22—1181no—
1669C22—1182no—
1670C22—1181no—
1671C22—1181no—
1672C22—4724no—
1673C22—2361no—
1674C22—2361no—
1675C22C22×D4×D5911yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—1181no—
1686C4—1181no—
1687C4—1181no—
1688C4—1181no—
1689C4—1181no—
1690C4—1181no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C4—2361no—
1695C4—2361no—
1696C4—2361no—
1697C4—2361no—
1698C4#1683819812yes—
1699C4C2×#41×D5911yescharacteristic
1700C4#1683823811yescharacteristic
1701C2—41no—
1702C2—42no—
1703C2—81no—
1704C2—81no—
1705C2—2361no—
1706C2—2361no—
1707C2—2362no—
1708C2#2143757911yescharacteristic
1709C2C2×#1683819811yescharacteristic
1710C2#2143886511yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3105C2
socleC22×C59C23×D4
hypercenter#3105D59
hypocenterC59#61442
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3105

Complements

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

NH ≅ G/Ntype
1. #21437654C2semidirect
2. #21437652C2semidirect
3. #21437174C2semidirect
4. #21437053C2semidirect
5. #21436926C2semidirect
6. #21436920C2semidirect
7. #21436671C2semidirect
8. #21436614C2semidirect
9. #21436608C2semidirect
10. #21436316C2semidirect
11. #21436315C2semidirect
12. #21436259C2semidirect
13. #21436245C2semidirect
14. #21436195C2semidirect
15. #21436189C2semidirect
16. #21435707C2semidirect
17. #21435619C2semidirect
18. #21435616C2semidirect
19. #21434703C2semidirect
20. #21434698C2semidirect
21. #21434664C2semidirect
22. #21434168C2semidirect
23. #21434163C2semidirect
24. #21434141C2semidirect
25. #21434112C2semidirect
26. #21434110C2semidirect
27. #21433060C2semidirect
28. C4×#14273753C2semidirect
29. C4×#14273751C2semidirect
30. C4×#14273748C2semidirect
31. C59×#3105C2semidirect
35. #16838122C22semidirect
36. #16838121C22semidirect
39. #16838109C22semidirect
40. #16838108C22semidirect
44. #16838090C22semidirect
47. #16838087C22semidirect
57. #16838046C22semidirect
58. #16838045C22semidirect
59. #16837959C22semidirect
60. #16837956C22semidirect
63. #16837934C22semidirect
64. #16837934C22semidirect
70. C4×#11745689C22semidirect
74. C4×#11745687C22semidirect
75. C4×D4×D59C22semidirect
78. #16837812C22semidirect
79. #16837809C22semidirect
80. #16837803C22semidirect
81. #16837797C22semidirect
82. #16837793C22semidirect
84. #16837772C22semidirect
85. #16837769C22semidirect
86. #16837761C22semidirect
87. #16837760C22semidirect
88. #16837755C22semidirect
89. #16837755C22semidirect
90. #16837746C22semidirect
91. #16837746C22semidirect
92. #16837745C22semidirect
93. #16837744C22semidirect
94. #16837744C22semidirect
95. #16837742C22semidirect
96. #16837739C22semidirect
97. #16837725C22semidirect
98. #16837724C22semidirect
100. #16837708C22semidirect
101. #16837707C22semidirect
102. #16837705C22semidirect
103. #16837704C22semidirect
104. #16837701C22semidirect
105. #16837700C22semidirect
106. #16837688C22semidirect
107. #16837686C22semidirect
108. #16837683C22semidirect
109. #16837680C22semidirect
110. #16837661C22semidirect
111. #16837659C22semidirect
112. #16837658C22semidirect
113. #16837658C22semidirect
118. #16837644C22semidirect
120. #16837630C22semidirect
121. #16837630C22semidirect
122. #16837623C22semidirect
123. #16837622C22semidirect
128. #16837613C22semidirect
129. #16837611C22semidirect
130. #16837608C22semidirect
131. #16837605C22semidirect
132. #16837567C22semidirect
136. #16837565C22semidirect
138. #16837554C22semidirect
142. #16837531C22semidirect
143. #16837531C22semidirect
148. #16837502C22semidirect
149. #16837502C22semidirect
150. #16837501C22semidirect
151. #16837499C22semidirect
152. C4×Dic236C22semidirect
153. C4×Dic236C22semidirect
154. C4×#11745672C22semidirect
155. C4×#11745672C22semidirect
156. #16837494C22semidirect
157. C4×#11745660C22semidirect
158. C4×#11745660C22semidirect
159. SD16×Dic59C22semidirect
160. #16837489C22semidirect
161. C4×#11745670C22semidirect
162. C4×#11745670C22semidirect
163. C4×#11745670C22semidirect
164. C4×#11745670C22semidirect
170. #16837476C22semidirect
171. #16837476C22semidirect
172. #16837472C22semidirect
173. #16837472C22semidirect
174. #16837453C22semidirect
175. #16837453C22semidirect
176. #16837443C22semidirect
177. #16837442C22semidirect
178. #16837437C22semidirect
179. #16837407C22semidirect
180. #16837405C22semidirect
183. #16837397C22semidirect
184. #16837395C22semidirect
185. C4×#11745664C22semidirect
186. C4×#11745659C22semidirect
187. C4×C8×D59C22semidirect
189. C2×C4×D4×C59C22semidirect
190. C59×#484C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
196. C59×#450C22semidirect
198. C4×SD16×C59C22semidirect
199. C4×SD16×C59C22semidirect
202. C59×#431C22semidirect
604. #11745669#41semidirect
870. #3105D59semidirect
932. C2×C4×D4C2×D59semidirect
954. #484C2×D59semidirect
965. #478C2×D59semidirect
966. #478C2×D59semidirect
1002. #450C2×D59semidirect
1030. C4×SD16C2×D59semidirect
1031. C4×SD16C2×D59semidirect
1045. #431C2×D59semidirect
1058. C59#61442semidirect

Maximal subgroups

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

subgroupindex
#214376542
#214376522
#214371742
#214370532
#214369262
#214369202
#214366712
#214366142
#214366082
#214363162
#214363152
#214362592
#214362452
#214361952
#214361892
#214357072
#214356192
#214356162
#214347032
#214346982
#214346642
#214341682
#214341632
#214341412
#214341122
#214341102
#214330602
C4×#142737532
C4×#142737512
C4×#142737482
C59×#31052
#6144259